diff --git a/dist/3.x/mat3-impl.d.ts b/dist/3.x/mat3-impl.d.ts index d87b1dc..b3d28b7 100644 --- a/dist/3.x/mat3-impl.d.ts +++ b/dist/3.x/mat3-impl.d.ts @@ -25,12 +25,13 @@ export declare function getAPI(Ctor: Mat3Ctor< getAxis: (m: BaseArgType, axis: number, dst?: T_12 | undefined) => T_12; setAxis: (m: BaseArgType, v: BaseArgType, axis: number, dst?: T_13 | undefined) => T_13; getScaling: (m: BaseArgType, dst?: T_14 | undefined) => T | T_14; - translation: (v: BaseArgType, dst?: T_15 | undefined) => T_15; - translate: (m: BaseArgType, v: BaseArgType, dst?: T_16 | undefined) => T_16; - rotation: (angleInRadians: number, dst?: T_17 | undefined) => T_17; - rotate: (m: BaseArgType, angleInRadians: number, dst?: T_18 | undefined) => T_18; - scaling: (v: BaseArgType, dst?: T_19 | undefined) => T_19; - scale: (m: BaseArgType, v: BaseArgType, dst?: T_20 | undefined) => T_20; - uniformScaling: (s: number, dst?: T_21 | undefined) => T_21; - uniformScale: (m: BaseArgType, s: number, dst?: T_22 | undefined) => T_22; + get3DScaling: (m: BaseArgType, dst?: T_15 | undefined) => T | T_15; + translation: (v: BaseArgType, dst?: T_16 | undefined) => T_16; + translate: (m: BaseArgType, v: BaseArgType, dst?: T_17 | undefined) => T_17; + rotation: (angleInRadians: number, dst?: T_18 | undefined) => T_18; + rotate: (m: BaseArgType, angleInRadians: number, dst?: T_19 | undefined) => T_19; + scaling: (v: BaseArgType, dst?: T_20 | undefined) => T_20; + scale: (m: BaseArgType, v: BaseArgType, dst?: T_21 | undefined) => T_21; + uniformScaling: (s: number, dst?: T_22 | undefined) => T_22; + uniformScale: (m: BaseArgType, s: number, dst?: T_23 | undefined) => T_23; }; diff --git a/dist/3.x/wgpu-matrix.d.ts b/dist/3.x/wgpu-matrix.d.ts index 84dc9d7..5e6bafe 100644 --- a/dist/3.x/wgpu-matrix.d.ts +++ b/dist/3.x/wgpu-matrix.d.ts @@ -57,14 +57,15 @@ mat3: { getAxis: (m: BaseArgType, axis: number, dst?: T_11 | undefined) => T_11; setAxis: (m: BaseArgType, v: BaseArgType, axis: number, dst?: T_12 | undefined) => T_12; getScaling: (m: BaseArgType, dst?: T_13 | undefined) => Float32Array | T_13; - translation: (v: BaseArgType, dst?: T_14 | undefined) => T_14; - translate: (m: BaseArgType, v: BaseArgType, dst?: T_15 | undefined) => T_15; - rotation: (angleInRadians: number, dst?: T_16 | undefined) => T_16; - rotate: (m: BaseArgType, angleInRadians: number, dst?: T_17 | undefined) => T_17; - scaling: (v: BaseArgType, dst?: T_18 | undefined) => T_18; - scale: (m: BaseArgType, v: BaseArgType, dst?: T_19 | undefined) => T_19; - uniformScaling: (s: number, dst?: T_20 | undefined) => T_20; - uniformScale: (m: BaseArgType, s: number, dst?: T_21 | undefined) => T_21; + get3DScaling: (m: BaseArgType, dst?: T_14 | undefined) => Float32Array | T_14; + translation: (v: BaseArgType, dst?: T_15 | undefined) => T_15; + translate: (m: BaseArgType, v: BaseArgType, dst?: T_16 | undefined) => T_16; + rotation: (angleInRadians: number, dst?: T_17 | undefined) => T_17; + rotate: (m: BaseArgType, angleInRadians: number, dst?: T_18 | undefined) => T_18; + scaling: (v: BaseArgType, dst?: T_19 | undefined) => T_19; + scale: (m: BaseArgType, v: BaseArgType, dst?: T_20 | undefined) => T_20; + uniformScaling: (s: number, dst?: T_21 | undefined) => T_21; + uniformScale: (m: BaseArgType, s: number, dst?: T_22 | undefined) => T_22; }, /** * 4x4 Matrix functions that default to returning `Float32Array` @@ -351,14 +352,15 @@ export declare const mat3d: { getAxis: (m: BaseArgType, axis: number, dst?: T_11 | undefined) => T_11; setAxis: (m: BaseArgType, v: BaseArgType, axis: number, dst?: T_12 | undefined) => T_12; getScaling: (m: BaseArgType, dst?: T_13 | undefined) => Float64Array | T_13; - translation: (v: BaseArgType, dst?: T_14 | undefined) => T_14; - translate: (m: BaseArgType, v: BaseArgType, dst?: T_15 | undefined) => T_15; - rotation: (angleInRadians: number, dst?: T_16 | undefined) => T_16; - rotate: (m: BaseArgType, angleInRadians: number, dst?: T_17 | undefined) => T_17; - scaling: (v: BaseArgType, dst?: T_18 | undefined) => T_18; - scale: (m: BaseArgType, v: BaseArgType, dst?: T_19 | undefined) => T_19; - uniformScaling: (s: number, dst?: T_20 | undefined) => T_20; - uniformScale: (m: BaseArgType, s: number, dst?: T_21 | undefined) => T_21; + get3DScaling: (m: BaseArgType, dst?: T_14 | undefined) => Float64Array | T_14; + translation: (v: BaseArgType, dst?: T_15 | undefined) => T_15; + translate: (m: BaseArgType, v: BaseArgType, dst?: T_16 | undefined) => T_16; + rotation: (angleInRadians: number, dst?: T_17 | undefined) => T_17; + rotate: (m: BaseArgType, angleInRadians: number, dst?: T_18 | undefined) => T_18; + scaling: (v: BaseArgType, dst?: T_19 | undefined) => T_19; + scale: (m: BaseArgType, v: BaseArgType, dst?: T_20 | undefined) => T_20; + uniformScaling: (s: number, dst?: T_21 | undefined) => T_21; + uniformScale: (m: BaseArgType, s: number, dst?: T_22 | undefined) => T_22; }, mat4d: { create: (v0?: number | undefined, v1?: number | undefined, v2?: number | undefined, v3?: number | undefined, v4?: number | undefined, v5?: number | undefined, v6?: number | undefined, v7?: number | undefined, v8?: number | undefined, v9?: number | undefined, v10?: number | undefined, v11?: number | undefined, v12?: number | undefined, v13?: number | undefined, v14?: number | undefined, v15?: number | undefined) => Float64Array; set: (v0: number, v1: number, v2: number, v3: number, v4: number, v5: number, v6: number, v7: number, v8: number, v9: number, v10: number, v11: number, v12: number, v13: number, v14: number, v15: number, dst?: T | undefined) => T; @@ -620,14 +622,15 @@ export declare const mat3n: { getAxis: (m: BaseArgType, axis: number, dst?: T_11 | undefined) => T_11; setAxis: (m: BaseArgType, v: BaseArgType, axis: number, dst?: T_12 | undefined) => T_12; getScaling: (m: BaseArgType, dst?: T_13 | undefined) => number[] | T_13; - translation: (v: BaseArgType, dst?: T_14 | undefined) => T_14; - translate: (m: BaseArgType, v: BaseArgType, dst?: T_15 | undefined) => T_15; - rotation: (angleInRadians: number, dst?: T_16 | undefined) => T_16; - rotate: (m: BaseArgType, angleInRadians: number, dst?: T_17 | undefined) => T_17; - scaling: (v: BaseArgType, dst?: T_18 | undefined) => T_18; - scale: (m: BaseArgType, v: BaseArgType, dst?: T_19 | undefined) => T_19; - uniformScaling: (s: number, dst?: T_20 | undefined) => T_20; - uniformScale: (m: BaseArgType, s: number, dst?: T_21 | undefined) => T_21; + get3DScaling: (m: BaseArgType, dst?: T_14 | undefined) => number[] | T_14; + translation: (v: BaseArgType, dst?: T_15 | undefined) => T_15; + translate: (m: BaseArgType, v: BaseArgType, dst?: T_16 | undefined) => T_16; + rotation: (angleInRadians: number, dst?: T_17 | undefined) => T_17; + rotate: (m: BaseArgType, angleInRadians: number, dst?: T_18 | undefined) => T_18; + scaling: (v: BaseArgType, dst?: T_19 | undefined) => T_19; + scale: (m: BaseArgType, v: BaseArgType, dst?: T_20 | undefined) => T_20; + uniformScaling: (s: number, dst?: T_21 | undefined) => T_21; + uniformScale: (m: BaseArgType, s: number, dst?: T_22 | undefined) => T_22; }, mat4n: { create: (v0?: number | undefined, v1?: number | undefined, v2?: number | undefined, v3?: number | undefined, v4?: number | undefined, v5?: number | undefined, v6?: number | undefined, v7?: number | undefined, v8?: number | undefined, v9?: number | undefined, v10?: number | undefined, v11?: number | undefined, v12?: number | undefined, v13?: number | undefined, v14?: number | undefined, v15?: number | undefined) => number[]; set: (v0: number, v1: number, v2: number, v3: number, v4: number, v5: number, v6: number, v7: number, v8: number, v9: number, v10: number, v11: number, v12: number, v13: number, v14: number, v15: number, dst?: T | undefined) => T; diff --git a/dist/3.x/wgpu-matrix.js b/dist/3.x/wgpu-matrix.js index 7f24dbe..b05791c 100644 --- a/dist/3.x/wgpu-matrix.js +++ b/dist/3.x/wgpu-matrix.js @@ -1,4 +1,4 @@ -/* wgpu-matrix@3.0.3, license MIT */ +/* wgpu-matrix@3.1.0, license MIT */ (function (global, factory) { typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : typeof define === 'function' && define.amd ? define(['exports'], factory) : @@ -830,1405 +830,1378 @@ * DEALINGS IN THE SOFTWARE. */ /** - * Generates a typed API for Mat3 + * Generates am typed API for Vec3 * */ function getAPIImpl$4(Ctor) { - const vec2 = getAPI$5(Ctor); /** - * Create a Mat3 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat3's specified type - * it would be faster to use - * - * ``` - * const m = mat3.clone(someJSArray); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @returns matrix created from values. + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector */ - function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { - const newDst = new Ctor(12); - // to make the array homogenous - newDst[3] = 0; - newDst[7] = 0; - newDst[11] = 0; - if (v0 !== undefined) { - newDst[0] = v0; - if (v1 !== undefined) { - newDst[1] = v1; - if (v2 !== undefined) { - newDst[2] = v2; - if (v3 !== undefined) { - newDst[4] = v3; - if (v4 !== undefined) { - newDst[5] = v4; - if (v5 !== undefined) { - newDst[6] = v5; - if (v6 !== undefined) { - newDst[8] = v6; - if (v7 !== undefined) { - newDst[9] = v7; - if (v8 !== undefined) { - newDst[10] = v8; - } - } - } - } - } - } + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; } } } return newDst; } /** - * Sets the values of a Mat3 - * Also see {@link mat3.create} and {@link mat3.copy} + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 set from values. + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. */ - function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = v0; - newDst[1] = v1; - newDst[2] = v2; - newDst[3] = 0; - newDst[4] = v3; - newDst[5] = v4; - newDst[6] = v5; - newDst[7] = 0; - newDst[8] = v6; - newDst[9] = v7; - newDst[10] = v8; - newDst[11] = 0; + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; return newDst; } /** - * Creates a Mat3 from the upper left 3x3 part of a Mat4 - * @param m4 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 made from m4 + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. */ - function fromMat4(m4, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = m4[0]; - newDst[1] = m4[1]; - newDst[2] = m4[2]; - newDst[3] = 0; - newDst[4] = m4[4]; - newDst[5] = m4[5]; - newDst[6] = m4[6]; - newDst[7] = 0; - newDst[8] = m4[8]; - newDst[9] = m4[9]; - newDst[10] = m4[10]; - newDst[11] = 0; + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); return newDst; } /** - * Creates a Mat3 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 made from q + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. */ - function fromQuat(q, dst) { - const newDst = (dst ?? new Ctor(12)); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - newDst[0] = 1 - yy - zz; - newDst[1] = yx + wz; - newDst[2] = zx - wy; - newDst[3] = 0; - newDst[4] = yx - wz; - newDst[5] = 1 - xx - zz; - newDst[6] = zy + wx; - newDst[7] = 0; - newDst[8] = zx + wy; - newDst[9] = zy - wx; - newDst[10] = 1 - xx - yy; - newDst[11] = 0; + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); return newDst; } /** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. */ - function negate(m, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = -m[0]; - newDst[1] = -m[1]; - newDst[2] = -m[2]; - newDst[4] = -m[4]; - newDst[5] = -m[5]; - newDst[6] = -m[6]; - newDst[8] = -m[8]; - newDst[9] = -m[9]; - newDst[10] = -m[10]; + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); return newDst; } /** - * Copies a matrix. (same as {@link mat3.clone}) - * Also see {@link mat3.create} and {@link mat3.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. */ - function copy(m, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = m[0]; - newDst[1] = m[1]; - newDst[2] = m[2]; - newDst[4] = m[4]; - newDst[5] = m[5]; - newDst[6] = m[6]; - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); return newDst; } /** - * Copies a matrix (same as {@link mat3.copy}) - * Also see {@link mat3.create} and {@link mat3.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. */ - const clone = copy; + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } /** - * Check if 2 matrices are approximately equal - * @param a Operand matrix. - * @param b Operand matrix. - * @returns true if matrices are approximately equal + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal */ function equalsApproximately(a, b) { return Math.abs(a[0] - b[0]) < EPSILON && Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON; + Math.abs(a[2] - b[2]) < EPSILON; } /** - * Check if 2 matrices are exactly equal - * @param a Operand matrix. - * @param b Operand matrix. - * @returns true if matrices are exactly equal + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal */ function equals(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10]; + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; } /** - * Creates a 3-by-3 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 3-by-3 identity matrix. + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. */ - function identity(dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = 1; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = 1; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); return newDst; } /** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. */ - function transpose(m, dst) { - const newDst = (dst ?? new Ctor(12)); - if (newDst === m) { - let t; - // 0 1 2 - // 4 5 6 - // 8 9 10 - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - return newDst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - newDst[0] = m00; - newDst[1] = m10; - newDst[2] = m20; - newDst[4] = m01; - newDst[5] = m11; - newDst[6] = m21; - newDst[8] = m02; - newDst[9] = m12; - newDst[10] = m22; + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); return newDst; } /** - * Computes the inverse of a 3-by-3 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. */ - function inverse(m, dst) { - const newDst = (dst ?? new Ctor(12)); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const b01 = m22 * m11 - m12 * m21; - const b11 = -m22 * m10 + m12 * m20; - const b21 = m21 * m10 - m11 * m20; - const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); - newDst[0] = b01 * invDet; - newDst[1] = (-m22 * m01 + m02 * m21) * invDet; - newDst[2] = (m12 * m01 - m02 * m11) * invDet; - newDst[4] = b11 * invDet; - newDst[5] = (m22 * m00 - m02 * m20) * invDet; - newDst[6] = (-m12 * m00 + m02 * m10) * invDet; - newDst[8] = b21 * invDet; - newDst[9] = (-m21 * m00 + m01 * m20) * invDet; - newDst[10] = (m11 * m00 - m01 * m10) * invDet; + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); return newDst; } /** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. */ - function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - return m00 * (m11 * m22 - m21 * m12) - - m10 * (m01 * m22 - m21 * m02) + - m20 * (m01 * m12 - m11 * m02); + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; } /** - * Computes the inverse of a 3-by-3 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. */ - const invert = inverse; + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } /** - * Multiplies two 3-by-3 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ - function multiply(a, b, dst) { - const newDst = (dst ?? new Ctor(12)); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; - newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; - newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; - newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; - newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; - newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; - newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; - newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; - newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; - return newDst; - } - /** - * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. */ - const mul = multiply; + const scale = mulScalar; /** - * Sets the translation component of a 3-by-3 matrix to the given - * vector. - * @param a - The matrix. + * Divides a vector by a scalar. * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. */ - function setTranslation(a, v, dst) { - const newDst = (dst ?? identity()); - if (a !== newDst) { - newDst[0] = a[0]; - newDst[1] = a[1]; - newDst[2] = a[2]; - newDst[4] = a[4]; - newDst[5] = a[5]; - newDst[6] = a[6]; - } - newDst[8] = v[0]; - newDst[9] = v[1]; - newDst[10] = 1; + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; return newDst; } /** - * Returns the translation component of a 3-by-3 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. */ - function getTranslation(m, dst) { - const newDst = (dst ?? vec2.create()); - newDst[0] = m[8]; - newDst[1] = m[9]; + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; return newDst; } /** - * Returns an axis of a 3x3 matrix as a vector with 2 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, - * @returns The axis component of m. + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. */ - function getAxis(m, axis, dst) { - const newDst = (dst ?? vec2.create()); - const off = axis * 4; - newDst[0] = m[off + 0]; - newDst[1] = m[off + 1]; - return newDst; - } + const invert = inverse; /** - * Sets an axis of a 3x3 matrix as a vector with 2 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. */ - function setAxis(m, v, axis, dst) { - const newDst = (dst === m ? m : copy(m, dst)); - const off = axis * 4; - newDst[off + 0] = v[0]; - newDst[off + 1] = v[1]; - return newDst; - } - ///** - // * Returns the scaling component of the matrix - // * @param m - The Matrix - // * @param dst - The vector to set. If not passed a new one is created. - // */ - function getScaling(m, dst) { - const newDst = (dst ?? vec2.create()); - const xx = m[0]; - const xy = m[1]; - const yx = m[4]; - const yy = m[5]; - newDst[0] = Math.sqrt(xx * xx + xy * xy); - newDst[1] = Math.sqrt(yx * yx + yy * yy); + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; return newDst; } /** - * Creates a 3-by-3 matrix which translates by the given vector v. - * @param v - The vector by which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product */ - function translation(v, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = 1; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = 1; - newDst[6] = 0; - newDst[8] = v[0]; - newDst[9] = v[1]; - newDst[10] = 1; - return newDst; + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); } /** - * Translates the given 3-by-3 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. + * Computes the length of vector + * @param v - vector. + * @returns length of vector. */ - function translate(m, v, dst) { - const newDst = (dst ?? new Ctor(12)); + function length(v) { const v0 = v[0]; const v1 = v[1]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - if (m !== newDst) { - newDst[0] = m00; - newDst[1] = m01; - newDst[2] = m02; - newDst[4] = m10; - newDst[5] = m11; - newDst[6] = m12; - } - newDst[8] = m00 * v0 + m10 * v1 + m20; - newDst[9] = m01 * v0 + m11 * v1 + m21; - newDst[10] = m02 * v0 + m12 * v1 + m22; - return newDst; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); } /** - * Creates a 3-by-3 matrix which rotates by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. */ - function rotation(angleInRadians, dst) { - const newDst = (dst ?? new Ctor(12)); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - newDst[0] = c; - newDst[1] = s; - newDst[2] = 0; - newDst[4] = -s; - newDst[5] = c; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; - return newDst; + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; } /** - * Rotates the given 3-by-3 matrix by the given angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. */ - function rotate(m, angleInRadians, dst) { - const newDst = (dst ?? new Ctor(12)); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - newDst[0] = c * m00 + s * m10; - newDst[1] = c * m01 + s * m11; - newDst[2] = c * m02 + s * m12; - newDst[4] = c * m10 - s * m00; - newDst[5] = c * m11 - s * m01; - newDst[6] = c * m12 - s * m02; - if (m !== newDst) { - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; - } - return newDst; - } + const lenSq = lengthSq; /** - * Creates a 3-by-3 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * 2 entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b */ - function scaling(v, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = v[0]; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = v[1]; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; - return newDst; + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); } /** - * Scales the given 3-by-3 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of 2 entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b */ - function scale(m, v, dst) { - const newDst = (dst ?? new Ctor(12)); - const v0 = v[0]; - const v1 = v[1]; - newDst[0] = v0 * m[0 * 4 + 0]; - newDst[1] = v0 * m[0 * 4 + 1]; - newDst[2] = v0 * m[0 * 4 + 2]; - newDst[4] = v1 * m[1 * 4 + 0]; - newDst[5] = v1 * m[1 * 4 + 1]; - newDst[6] = v1 * m[1 * 4 + 2]; - if (m !== newDst) { - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; - } - return newDst; - } + const dist = distance; /** - * Creates a 3-by-3 matrix which scales uniformly in each dimension - * @param s - Amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b */ - function uniformScaling(s, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = s; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = s; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; - return newDst; + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; } /** - * Scales the given 3-by-3 matrix in each dimension by an amount - * given. - * @param m - The matrix to be modified. - * @param s - Amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b */ - function uniformScale(m, s, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = s * m[0 * 4 + 0]; - newDst[1] = s * m[0 * 4 + 1]; - newDst[2] = s * m[0 * 4 + 2]; - newDst[4] = s * m[1 * 4 + 0]; - newDst[5] = s * m[1 * 4 + 1]; - newDst[6] = s * m[1 * 4 + 2]; - if (m !== newDst) { - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; - } - return newDst; - } - return { - clone, - create, - set, - fromMat4, - fromQuat, - negate, - copy, - equalsApproximately, - equals, - identity, - transpose, - inverse, - invert, - determinant, - mul, - multiply, - setTranslation, - getTranslation, - getAxis, - setAxis, - getScaling, - translation, - translate, - rotation, - rotate, - scaling, - scale, - uniformScaling, - uniformScale, - }; - } - const cache$4 = new Map(); - function getAPI$4(Ctor) { - let api = cache$4.get(Ctor); - if (!api) { - api = getAPIImpl$4(Ctor); - cache$4.set(Ctor, api); - } - return api; - } - - /* - * Copyright 2022 Gregg Tavares - * - * Permission is hereby granted, free of charge, to any person obtaining a - * copy of this software and associated documentation files (the "Software"), - * to deal in the Software without restriction, including without limitation - * the rights to use, copy, modify, merge, publish, distribute, sublicense, - * and/or sell copies of the Software, and to permit persons to whom the - * Software is furnished to do so, subject to the following conditions: - * - * The above copyright notice and this permission notice shall be included in - * all copies or substantial portions of the Software. - * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL - * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER - * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING - * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER - * DEALINGS IN THE SOFTWARE. - */ - /** - * Generates am typed API for Vec3 - * */ - function getAPIImpl$3(Ctor) { + const distSq = distanceSq; /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. */ - function create(x, y, z) { - const newDst = new Ctor(3); - if (x !== undefined) { - newDst[0] = x; - if (y !== undefined) { - newDst[1] = y; - if (z !== undefined) { - newDst[2] = z; - } - } + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; } return newDst; } /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ - const fromValues = create; - /** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value + * Negates a vector. + * @param v - The vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. + * @returns -v. */ - function set(x, y, z, dst) { + function negate(v, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = x; - newDst[1] = y; - newDst[2] = z; + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; return newDst; } /** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. + * @returns A copy of v. */ - function ceil(v, dst) { + function copy(v, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.ceil(v[0]); - newDst[1] = Math.ceil(v[1]); - newDst[2] = Math.ceil(v[2]); - return newDst; - } - /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ - function floor(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.floor(v[0]); - newDst[1] = Math.floor(v[1]); - newDst[2] = Math.floor(v[2]); - return newDst; - } - /** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ - function round(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.round(v[0]); - newDst[1] = Math.round(v[1]); - newDst[2] = Math.round(v[2]); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; return newDst; } /** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. + * @returns A copy of v. */ - function clamp(v, min = 0, max = 1, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.min(max, Math.max(min, v[0])); - newDst[1] = Math.min(max, Math.max(min, v[1])); - newDst[2] = Math.min(max, Math.max(min, v[2])); - return newDst; - } + const clone = copy; /** - * Adds two vectors; assumes a and b have the same dimension. + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. * @param a - Operand vector. * @param b - Operand vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. + * @returns The vector of products of entries of a and b. */ - function add(a, b, dst) { + function multiply(a, b, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + b[0]; - newDst[1] = a[1] + b[1]; - newDst[2] = a[2] + b[2]; + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; return newDst; } /** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) * @param a - Operand vector. * @param b - Operand vector. - * @param scale - Amount to scale b * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ - function addScaled(a, b, scale, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + b[0] * scale; - newDst[1] = a[1] + b[1] * scale; - newDst[2] = a[2] + b[2] * scale; - return newDst; - } - /** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. + * @returns The vector of products of entries of a and b. */ - function angle(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = b[0]; - const by = b[1]; - const bz = b[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot(a, b) / mag; - return Math.acos(cosine); - } + const mul = multiply; /** - * Subtracts two vectors. + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. * @param a - Operand vector. * @param b - Operand vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. + * @returns The vector of quotients of entries of a and b. */ - function subtract(a, b, dst) { + function divide(a, b, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] - b[0]; - newDst[1] = a[1] - b[1]; - newDst[2] = a[2] - b[2]; + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; return newDst; } /** - * Subtracts two vectors. + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) * @param a - Operand vector. * @param b - Operand vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ - const sub = subtract; - /** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ - function equalsApproximately(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; - } - /** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal + * @returns The vector of quotients of entries of a and b. */ - function equals(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; - } + const div = divide; /** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. + * Creates a random vector + * @param scale - Default 1 * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. + * @returns The random vector. */ - function lerp(a, b, t, dst) { + function random(scale = 1, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + t * (b[0] - a[0]); - newDst[1] = a[1] + t * (b[1] - a[1]); - newDst[2] = a[2] + t * (b[2] - a[2]); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; return newDst; } /** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. + * Zero's a vector * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. + * @returns The zeroed vector. */ - function lerpV(a, b, t, dst) { + function zero(dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + t[0] * (b[0] - a[0]); - newDst[1] = a[1] + t[1] * (b[1] - a[1]); - newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; return newDst; } /** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector */ - function max(a, b, dst) { + function transformMat4(v, m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.max(a[0], b[0]); - newDst[1] = Math.max(a[1], b[1]); - newDst[2] = Math.max(a[2], b[2]); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; return newDst; } /** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. */ - function min(a, b, dst) { + function transformMat4Upper3x3(v, m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.min(a[0], b[0]); - newDst[1] = Math.min(a[1], b[1]); - newDst[2] = Math.min(a[2], b[2]); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; return newDst; } /** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector */ - function mulScalar(v, k, dst) { + function transformMat3(v, m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = v[0] * k; - newDst[1] = v[1] * k; - newDst[2] = v[2] * k; + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; return newDst; } /** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed */ - const scale = mulScalar; - /** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ - function divScalar(v, k, dst) { + function transformQuat(v, q, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = v[0] / k; - newDst[1] = v[1] / k; - newDst[2] = v[2] / k; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; return newDst; } /** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. */ - function inverse(v, dst) { + function getTranslation(m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = 1 / v[0]; - newDst[1] = 1 / v[1]; - newDst[2] = 1 / v[2]; + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; return newDst; } /** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. */ - const invert = inverse; + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } /** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. */ - function cross(a, b, dst) { + function getScaling(m, dst) { const newDst = (dst ?? new Ctor(3)); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - newDst[0] = a[1] * b[2] - a[2] * b[1]; - newDst[1] = t1; - newDst[2] = t2; + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); return newDst; } /** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector */ - function dot(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; } /** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector */ - function length(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; } /** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out */ - const len = length; + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } /** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector */ - function lengthSq(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); } /** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long */ - const lenSq = lengthSq; + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } /** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 */ - function distance(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; + } + const cache$4 = new Map(); + function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; + } + + /* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. + */ + /** + * Generates a typed API for Mat3 + * */ + function getAPIImpl$3(Ctor) { + const vec2 = getAPI$5(Ctor); + const vec3 = getAPI$4(Ctor); /** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. */ - const dist = distance; + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } /** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. */ - function distanceSq(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; } /** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 */ - const distSq = distanceSq; + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } /** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q */ - function normalize(v, dst) { - const newDst = (dst ?? new Ctor(3)); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - newDst[0] = v0 / len; - newDst[1] = v1 / len; - newDst[2] = v2 / len; - } - else { - newDst[0] = 0; - newDst[1] = 0; - newDst[2] = 0; - } + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; return newDst; } /** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. */ - function negate(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = -v[0]; - newDst[1] = -v[1]; - newDst[2] = -v[2]; + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; return newDst; } /** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. */ - function copy(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = v[0]; - newDst[1] = v[1]; - newDst[2] = v[2]; + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; return newDst; } /** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. */ const clone = copy; /** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal */ - function multiply(a, b, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] * b[0]; - newDst[1] = a[1] * b[1]; - newDst[2] = a[2] * b[2]; - return newDst; + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; } /** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal */ - const mul = multiply; + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } /** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. */ - function divide(a, b, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] / b[0]; - newDst[1] = a[1] / b[1]; - newDst[2] = a[2] / b[2]; + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; return newDst; } /** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ - const div = divide; - /** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. */ - function random(scale = 1, dst) { - const newDst = (dst ?? new Ctor(3)); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - newDst[0] = Math.cos(angle) * zScale; - newDst[1] = Math.sin(angle) * zScale; - newDst[2] = z * scale; + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; return newDst; } /** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. */ - function zero(dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = 0; - newDst[1] = 0; - newDst[2] = 0; + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; return newDst; } /** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant */ - function transformMat4(v, m, dst) { - const newDst = (dst ?? new Ctor(3)); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return newDst; + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); } /** - * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. + * Computes the inverse of a 3-by-3 matrix. (same as inverse) * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. */ - function transformMat4Upper3x3(v, m, dst) { - const newDst = (dst ?? new Ctor(3)); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return newDst; - } + const invert = inverse; /** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. */ - function transformMat3(v, m, dst) { - const newDst = (dst ?? new Ctor(3)); - const x = v[0]; - const y = v[1]; - const z = v[2]; - newDst[0] = x * m[0] + y * m[4] + z * m[8]; - newDst[1] = x * m[1] + y * m[5] + z * m[9]; - newDst[2] = x * m[2] + y * m[6] + z * m[10]; + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; return newDst; } /** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. */ - function transformQuat(v, q, dst) { - const newDst = (dst ?? new Ctor(3)); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; return newDst; } /** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * Returns the translation component of a 3-by-3 matrix as a vector with 3 * entries. * @param m - The matrix. * @param dst - vector to hold result. If not passed a new one is created. * @returns The translation component of m. */ function getTranslation(m, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = m[12]; - newDst[1] = m[13]; - newDst[2] = m[14]; + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; return newDst; } /** - * Returns an axis of a 4x4 matrix as a vector with 3 entries + * Returns an axis of a 3x3 matrix as a vector with 2 entries * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param axis - The axis 0 = x, 1 = y, * @returns The axis component of m. */ function getAxis(m, axis, dst) { - const newDst = (dst ?? new Ctor(3)); + const newDst = (dst ?? vec2.create()); const off = axis * 4; newDst[0] = m[off + 0]; newDst[1] = m[off + 1]; - newDst[2] = m[off + 2]; return newDst; } /** - * Returns the scaling component of the matrix + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + /** + * Returns the "2d" scaling component of the matrix * @param m - The Matrix * @param dst - The vector to set. If not passed a new one is created. */ function getScaling(m, dst) { - const newDst = (dst ?? new Ctor(3)); + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Returns the "3d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function get3DScaling(m, dst) { + const newDst = (dst ?? vec3.create()); const xx = m[0]; const xy = m[1]; const xz = m[2]; @@ -2244,180 +2217,230 @@ return newDst; } /** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. */ - function rotateX(a, b, rad, dst) { - const newDst = (dst ?? new Ctor(3)); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - newDst[0] = r[0] + b[0]; - newDst[1] = r[1] + b[1]; - newDst[2] = r[2] + b[2]; + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; return newDst; } /** - * Rotate a 3D vector around the y-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. */ - function rotateY(a, b, rad, dst) { - const newDst = (dst ?? new Ctor(3)); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - newDst[0] = r[0] + b[0]; - newDst[1] = r[1] + b[1]; - newDst[2] = r[2] + b[2]; + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } return newDst; } /** - * Rotate a 3D vector around the z-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. */ - function rotateZ(a, b, rad, dst) { - const newDst = (dst ?? new Ctor(3)); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - newDst[0] = r[0] + b[0]; - newDst[1] = r[1] + b[1]; - newDst[2] = r[2] + b[2]; + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; return newDst; } /** - * Treat a 3D vector as a direction and set it's length - * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. */ - function setLength(a, len, dst) { - const newDst = (dst ?? new Ctor(3)); - normalize(a, newDst); - return mulScalar(newDst, len, newDst); + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. */ - function truncate(a, maxLen, dst) { - const newDst = (dst ?? new Ctor(3)); - if (length(a) > maxLen) { - return setLength(a, maxLen, newDst); - } - return copy(a, newDst); + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; } /** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. */ - function midpoint(a, b, dst) { - const newDst = (dst ?? new Ctor(3)); - return lerp(a, b, 0.5, newDst); + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } return { + clone, create, - fromValues, set, - ceil, - floor, - round, - clamp, - add, - addScaled, - angle, - subtract, - sub, + fromMat4, + fromQuat, + negate, + copy, equalsApproximately, equals, - lerp, - lerpV, - max, - min, - mulScalar, - scale, - divScalar, + identity, + transpose, inverse, invert, - cross, - dot, - length, - len, - lengthSq, - lenSq, - distance, - dist, - distanceSq, - distSq, - normalize, - negate, - copy, - clone, - multiply, + determinant, mul, - divide, - div, - random, - zero, - transformMat4, - transformMat4Upper3x3, - transformMat3, - transformQuat, + multiply, + setTranslation, getTranslation, getAxis, + setAxis, getScaling, - rotateX, - rotateY, - rotateZ, - setLength, - truncate, - midpoint, + get3DScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, }; } const cache$3 = new Map(); @@ -2434,7 +2457,7 @@ * Generates a typed API for Mat4 * */ function getAPIImpl$2(Ctor) { - const vec3 = getAPI$3(Ctor); + const vec3 = getAPI$4(Ctor); /** * 4x4 Matrix math math functions. * @@ -3129,11 +3152,11 @@ newDst[off + 2] = v[2]; return newDst; } - ///** - // * Returns the scaling component of the matrix - // * @param m - The Matrix - // * @param dst - The vector to set. If not passed a new one is created. - // */ + /** + * Returns the "3d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ function getScaling(m, dst) { const newDst = (dst ?? vec3.create()); const xx = m[0]; @@ -4099,7 +4122,7 @@ * Generates am typed API for Qud * */ function getAPIImpl$1(Ctor) { - const vec3 = getAPI$3(Ctor); + const vec3 = getAPI$4(Ctor); /** * Creates a quat4; may be called with x, y, z to set initial values. * @param x - Initial x value. @@ -5547,7 +5570,7 @@ function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { return { /** @namespace mat3 */ - mat3: getAPI$4(Mat3Ctor), + mat3: getAPI$3(Mat3Ctor), /** @namespace mat4 */ mat4: getAPI$2(Mat4Ctor), /** @namespace quat */ @@ -5555,7 +5578,7 @@ /** @namespace vec2 */ vec2: getAPI$5(Vec2Ctor), /** @namespace vec3 */ - vec3: getAPI$3(Vec3Ctor), + vec3: getAPI$4(Vec3Ctor), /** @namespace vec4 */ vec4: getAPI(Vec4Ctor), }; diff --git a/dist/3.x/wgpu-matrix.js.map b/dist/3.x/wgpu-matrix.js.map index b371929..8d5f7ce 100644 --- a/dist/3.x/wgpu-matrix.js.map +++ b/dist/3.x/wgpu-matrix.js.map @@ -1 +1 @@ -{"version":3,"file":"wgpu-matrix.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/mat3-impl.ts","../../../src/vec3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["getAPIImpl","utils.EPSILON","cache","getAPI","getVec2API","getVec3API","getMat3API","getMat4API","getQuatAPI","getVec4API"],"mappings":";;;;;;;IAMA,SAAS,eAAe,CACtB,mBAAsB,EACtB,QAA6C,EAAA;QAE7C,OAAO,cAAc,mBAAmB,CAAA;IACtC,QAAA,WAAA,CAAY,GAAG,IAAW,EAAA;IACxB,YAAA,KAAK,CAAC,GAAG,IAAI,CAAC,CAAC;gBACf,QAAQ,CAAC,IAAuB,CAAC,CAAC;aACnC;IACG,KAAA,CAAC;IACT,CAAC;IAEM,MAAM,SAAS,GAAG,eAAe,EAAC,KAAa,GAAE,CAAC,IAAI,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC;;IClBvE;;;;;;;;;;;;;;;;;;;;IAoBG;IAEI,IAAI,OAAO,GAAG,QAAQ,CAAC;IAE9B;;;;IAIG;IACG,SAAU,UAAU,CAAC,CAAS,EAAA;QAClC,MAAM,GAAG,GAAG,OAAO,CAAC;QACpB,OAAO,GAAG,CAAC,CAAC;IACZ,IAAA,OAAO,GAAG,CAAC;IACb,CAAC;IAED;;;;IAIG;IACG,SAAU,QAAQ,CAAC,OAAe,EAAA;IACtC,IAAA,OAAO,OAAO,GAAG,IAAI,CAAC,EAAE,GAAG,GAAG,CAAC;IACjC,CAAC;IAED;;;;IAIG;IACG,SAAU,QAAQ,CAAC,OAAe,EAAA;IACtC,IAAA,OAAO,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC,EAAE,CAAC;IACjC,CAAC;IAED;;;;;;IAMG;aACa,IAAI,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;QAClD,OAAO,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IACzB,CAAC;IAED;;;;;;;;IAQG;aACa,WAAW,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;IACzD,IAAA,MAAM,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QAChB,OAAO,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,OAAO;IAC9B,UAAE,CAAC;cACD,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IACnB,CAAC;IAED;;;;;;;;;;;;;;IAcG;IACa,SAAA,eAAe,CAAC,CAAS,EAAE,CAAS,EAAA;QAClD,OAAO,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,CAAC,CAAC;IAC3B;;;;;;;;;;;;;ICjGA;;;;;;;;;;;;;;;;;;;;IAoBG;IAYH;;IAEG;IACH,SAASA,YAAU,CAAyC,IAAuB,EAAA;IAEnF;;;;;;;;;;;;;;;IAeG;QACH,SAAS,MAAM,CAAC,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC,EAAA;IAC1B,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;iBACf;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE5B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE/C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;IACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAC1C,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAC1C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;IACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;SAC1B;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACvC;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;IACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;SAClC;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACrC;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC1B;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;YACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACrC;IAED;;;;;IAKG;QACH,MAAM,IAAI,GAAG,QAAQ,CAAC;IAEtB;;;;;IAKG;IACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;YACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC1B;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEzC,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;IAC1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;IACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;IAEpC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,IAAI,CAA8B,GAAO,EAAA;YAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEvC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;;YAGzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3B,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;IAG3B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEzC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;YACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SACvC;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;gBACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;aACrC;IAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;SACxB;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SAChC;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,IAAI;YACJ,KAAK;YACL,KAAK;YACL,KAAK;YACL,GAAG;YACH,SAAS;YACT,KAAK;YACL,QAAQ;YACR,GAAG;YACH,mBAAmB;YACnB,MAAM;YACN,IAAI;YACJ,KAAK;YACL,GAAG;YACH,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,OAAO;YACP,MAAM;YACN,KAAK;YACL,GAAG;YACH,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,QAAQ;YACR,IAAI;YACJ,UAAU;YACV,MAAM;YACN,SAAS;YACT,MAAM;YACN,IAAI;YACJ,KAAK;YACL,QAAQ;YACR,GAAG;YACH,MAAM;YACN,GAAG;YACH,MAAM;YACN,IAAI;YACJ,aAAa;YACb,aAAa;YACb,MAAM;YACN,SAAS;YACT,QAAQ;YACR,QAAQ;SACT,CAAC;IACF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;IC1yBA;;;;;;;;;;;;;;;;;;;;IAoBG;IAcH;;IAEK;IACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;IACjF,IAAA,MAAM,IAAI,GAAGI,QAAU,CAAU,IAAI,CAAC,CAAC;IAEzC;;;;;;;;;;;;;;;;;;;;;;IAsBG;IACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EAAA;IACvC,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;;IAE5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4CAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;6CACjB;yCACF;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;IAeG;QACH,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,GAAO,EAAA;YAC7C,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAC1C,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAC7E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;YAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEhG,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;IAEhE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAE7D,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGH,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;SAChD;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;YACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;gBACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;SACxB;IAED;;;;;IAKG;QACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;YACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEjD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;IAChB,YAAA,IAAI,CAAS,CAAC;;;;IAMd,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,OAAO,MAAM,CAAC;aACf;YAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAEvD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAEzB,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YACnC,MAAM,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YACnC,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAEnC,QAAA,MAAM,MAAM,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;IAEv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f;IAED;;;;IAIG;QACH,SAAS,WAAW,CAAC,CAAU,EAAA;YAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAEzB,OAAO,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;gBAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;gBAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;SACtC;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAE/C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;IACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;aACpB;YACD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;YACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;IAC3C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YACzF,MAAM,MAAM,IAAI,GAAG,KAAK,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAM,CAAC;IAEnD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;;;;;;IAOD,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;IAEtC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEzC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;YACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACvD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEvD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;IAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;aAClB;IAED,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IACvC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IACvC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAEvC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAElD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACtF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAE/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAG/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEvD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEh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gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;YACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEjD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAE9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;QAED,OAAO;YACL,KAAK;YACL,MAAM;YACN,GAAG;YACH,QAAQ;YACR,QAAQ;YACR,MAAM;YACN,IAAI;YACJ,mBAAmB;YACnB,MAAM;YACN,QAAQ;YACR,SAAS;YACT,OAAO;YACP,MAAM;YACN,WAAW;YACX,GAAG;YACH,QAAQ;YACR,cAAc;YACd,cAAc;YACd,OAAO;YACP,OAAO;YACP,UAAU;YACV,WAAW;YACX,SAAS;YACT,QAAQ;YACR,MAAM;YACN,OAAO;YACP,KAAK;YACL,cAAc;YACd,YAAY;SACb,CAAC;IAEF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;ICvwBA;;;;;;;;;;;;;;;;;;;;IAoBG;IAYH;;IAEK;IACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;IAEnF;;;;;;IAMG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;IAChD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;qBACf;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;;IASG;QACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE5B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE/C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;IACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACpD,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACpD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;IACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;SAC1B;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACxD;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACtC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;IACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;SACtD;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SAC/C;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SACpC;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;YACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SAC/C;IAED;;;;;IAKG;QACH,MAAM,IAAI,GAAG,QAAQ,CAAC;IAEtB;;;;;IAKG;IACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;YACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SACpC;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEnD,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAGD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;YAC1C,MAAM,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAChC,QAAA,MAAM,MAAM,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC;IAC5C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;IACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;IACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,KAAK,CAAC;IAEtB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,IAAI,CAA8B,GAAO,EAAA;YAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC;IAEzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;IACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;IACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;IAE1D,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,qBAAqB,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEtE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAE5C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEpB,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;YAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;YAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;YAE5B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;YACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;YACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;IAErD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;YACpE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,OAAO,MAAM,CAAC;SACjB;IACD;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YAC3E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACjB;IACD;;;;IAIG;IACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACnD,QAAA,OAAO,MAAM,CAAC;SACjB;IAED;;;;;;;;IAQG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,EAAE,CAAC;YACb,MAAM,CAAC,GAAG,EAAE,CAAC;;IAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;YAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;IAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,EAAE,CAAC;YACb,MAAM,CAAC,GAAG,EAAE,CAAC;;IAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;YAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;IAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,EAAE,CAAC;YACb,MAAM,CAAC,GAAG,EAAE,CAAC;;IAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;YAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;IAGZ,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;YACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SACvC;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;gBACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;aACrC;IAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;SACxB;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SAChC;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,IAAI;YACJ,KAAK;YACL,KAAK;YACL,KAAK;YACL,GAAG;YACH,SAAS;YACT,KAAK;YACL,QAAQ;YACR,GAAG;YACH,mBAAmB;YACnB,MAAM;YACN,IAAI;YACJ,KAAK;YACL,GAAG;YACH,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,OAAO;YACP,MAAM;YACN,KAAK;YACL,GAAG;YACH,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,QAAQ;YACR,IAAI;YACJ,UAAU;YACV,MAAM;YACN,SAAS;YACT,MAAM;YACN,IAAI;YACJ,KAAK;YACL,QAAQ;YACR,GAAG;YACH,MAAM;YACN,GAAG;YACH,MAAM;YACN,IAAI;YACJ,aAAa;YACb,qBAAqB;YACrB,aAAa;YACb,aAAa;YACb,cAAc;YACd,OAAO;YACP,UAAU;YACV,OAAO;YACP,OAAO;YACP,OAAO;YACP,SAAS;YACT,QAAQ;YACR,QAAQ;SACT,CAAC;IAEF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;ICx/BA;;IAEK;IACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;IACjF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAU,IAAI,CAAC,CAAC;IAEzC;;;;;;;;;;;;;;;;;;;;;;IAsBG;IAGH;;;;;;;;;;;;;;;;;;;;;;;;;;;;;IA6BG;IACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,GAAY,EAAE,GAAY,EACpD,GAAY,EAAE,GAAY,EAAE,GAAY,EAAE,GAAY,EAAA;IACxD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;IAC5B,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4CAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,4CAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gDAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,oDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,oDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,wDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,wDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,4DAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,4DAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,gEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,gEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,oEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,oEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,wEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;yEAClB;qEACF;iEACF;6DACF;yDACF;qDACF;iDACF;6CACF;yCACF;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;;;;;;IAsBG;IACH,IAAA,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,GAAW,EAAE,GAAW,EAChD,GAAW,EAAE,GAAW,EAAE,GAAW,EAAE,GAAW,EAClD,GAAO,EAAA;YACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAC1E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAE1E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAC/E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAO,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAE/E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;YAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEhG,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YACtF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;IAEtF,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAElF,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGJ,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;SAChD;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;YACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;gBACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;SACxB;IAED;;;;;IAKG;QACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;YACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAElE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;IAChB,YAAA,IAAI,CAAC,CAAC;IAEN,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEV,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEV,YAAA,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACV,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IACd,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACV,YAAA,OAAO,MAAM,CAAC;aACf;YAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEz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f;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IACzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;YAE5C,MAAM,CAAC,GAAG,CAAC,IAAI,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC,CAAC;IAE1D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;IAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;IAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IAEnD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,WAAW,CAAC,CAAU,EAAA;YAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;IACnD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;IAEnD,QAAA,OAAO,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC;SAClD;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;IACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;IAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAE3D,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;IACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;YACD,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,OAAO,MAAM,CAAC;SACf;;;;;;;;IASD,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;YACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;IACtC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAM,EAAA;YACxF,MAAM,MAAM,GAAG,CAAC,GAAG,KAAK,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC;IAEhD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;;;;;;IAOD,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;IAE3C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAEjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEnD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;;;;;;;;IAwBG;QACH,SAAS,WAAW,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAY,EAAE,GAAO,EAAA;YACnI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,IAAI,CAAC,EAAE,GAAG,GAAG,GAAG,GAAG,GAAG,qBAAqB,CAAC,CAAC;IAEhE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,MAAM,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,MAAM,CAAC,QAAQ,CAAC,IAAI,CAAC,EAAE;gBACzB,MAAM,QAAQ,GAAG,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;gBAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;aACtC;iBAAM;IACL,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAChB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,CAAC;aACrB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;;;;IAoBG,QAAA,SAAS,mBAAmB,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAI,GAAG,QAAQ,EAAE,GAAO,EAAA;YACjJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,qBAAqB,GAAG,GAAG,CAAC,CAAC;IAEpD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC;IACxB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,IAAI,KAAK,QAAQ,EAAE;IACrB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC;aACpB;iBAAM;gBACL,MAAM,QAAQ,GAAG,CAAC,IAAI,IAAI,GAAG,KAAK,CAAC,CAAC;IACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,GAAG,QAAQ,CAAC;gBAC9B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;aACtC;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;IAcG;IACH,IAAA,SAAS,KAAK,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;YACtI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;YACf,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;YACf,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,GAAG,IAAI,KAAK,IAAI,GAAG,KAAK,CAAC,CAAC;IAC7C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,KAAK,MAAM,GAAG,GAAG,CAAC,CAAC;YAC7C,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;IAiBG;IACH,IAAA,SAAS,OAAO,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;YACxI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;IAC1B,QAAA,MAAM,EAAE,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;YAExB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;YACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;IACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,CAAC;IACtB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,GAAG,GAAG,EAAE,CAAC;IAC7B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;IAiBG;IACH,IAAA,SAAS,eAAe,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAG,GAAG,QAAQ,EAAE,GAAO,EAAA;YACnJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;YAE1B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;YACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;IACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,GAAG,KAAK,QAAQ,EAAE;IACpB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,CAAC;aACnB;iBAAM;gBACL,MAAM,QAAQ,GAAG,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC;IAClC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;gBAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,IAAI,GAAG,QAAQ,CAAC;aACpC;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAE5B;;;;;;;;;;;;;IAaG;QACH,SAAS,GAAG,CAA8B,QAAiB,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;YAChG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,MAAM,EAAE,QAAQ,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IAC9D,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;YAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEhG,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;IAaG;QACH,SAAS,SAAS,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;YACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;YAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEjF,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;IAWG;QACH,SAAS,MAAM,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;YAC9F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;YAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEv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f,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;YACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YAC3E,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAE3E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;IAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;aAClB;IAED,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAElD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;IACH,IAAA,SAAS,YAAY,CAA8B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;YAC/F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAC3C,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;IACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;YACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAE7B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAC/B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,MAAM,QAAQ,GAAG,YAAY,CAAC;IAE9B;;;;;;;;;IASG;QACH,SAAS,UAAU,CAA8B,CAAU,EAAE,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;YACzG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAC3C,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;IACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;YACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAE7B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;YAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;YAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAE9B,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAElB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAE/C,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;;;;IAQG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAAK,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAE3E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEh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gBAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;YACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAElE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;QAED,OAAO;YACL,MAAM;YACN,GAAG;YACH,QAAQ;YACR,QAAQ;YACR,MAAM;YACN,IAAI;YACJ,KAAK;YACL,mBAAmB;YACnB,MAAM;YACN,QAAQ;YACR,SAAS;YACT,OAAO;YACP,WAAW;YACX,MAAM;YACN,QAAQ;YACR,GAAG;YACH,cAAc;YACd,cAAc;YACd,OAAO;YACP,OAAO;YACP,UAAU;YACV,WAAW;YACX,mBAAmB;YACnB,KAAK;YACL,OAAO;YACP,eAAe;YACf,GAAG;YACH,SAAS;YACT,MAAM;YACN,WAAW;YACX,SAAS;YACT,SAAS;YACT,OAAO;YACP,SAAS;YACT,OAAO;YACP,SAAS;YACT,OAAO;YACP,YAAY;YACZ,QAAQ;YACR,UAAU;YACV,MAAM;YACN,OAAO;YACP,KAAK;YACL,cAAc;YACd,YAAY;SACb,CAAC;IAEF,CAAC;IAKD,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;IC1mDA;;;;;;;;;;;;;;;;;;;;IAoBG;IAeH;;IAEK;IACL,SAASF,YAAU,CAA0C,IAAwB,EAAA;IACnF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAW,IAAI,CAAC,CAAC;IAE1C;;;;;;;IAOG;QACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;IAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;yBACf;qBACF;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;;;IAUG;QACH,SAAS,GAAG,CAA+B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQI;IACJ,IAAA,SAAS,aAAa,CAA+B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;YACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;YACvC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE9B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,WAAW,CAA+B,CAAU,EAAE,GAAO,EAAA;IACpE,QAAA,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,CAAC,CAAC,CAAC,CAAM,CAAC;IAE5C,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YAClC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,GAAG,GAAG,CAAC,CAAC;IAChC,QAAA,IAAI,CAAC,GAAGJ,OAAa,EAAE;gBACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;gBACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;gBACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,EAAE,KAAK,EAAE,IAAI,EAAE,MAAM,EAAE,CAAC;SAChC;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;YACnC,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC;IACpB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;SACjC;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAElD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;IAMG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;IAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAE9B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;IAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAE9B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;IAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAE9B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;QACH,SAAS,KAAK,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEd,QAAA,IAAI,QAAQ,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAErD,QAAA,IAAI,QAAQ,GAAG,CAAC,EAAE;gBAChB,QAAQ,GAAG,CAAC,QAAQ,CAAC;gBACrB,EAAE,GAAG,CAAC,EAAE,CAAC;gBACT,EAAE,GAAG,CAAC,EAAE,CAAC;gBACT,EAAE,GAAG,CAAC,EAAE,CAAC;gBACT,EAAE,GAAG,CAAC,EAAE,CAAC;aACV;IAED,QAAA,IAAI,MAAM,CAAC;IACX,QAAA,IAAI,MAAM,CAAC;YAEX,IAAI,GAAG,GAAG,QAAQ,GAAGA,OAAa,EAAE;gBAClC,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,QAAQ,CAAC,CAAC;gBAClC,MAAM,QAAQ,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,CAAC;IACjC,YAAA,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,KAAK,CAAC,GAAG,QAAQ,CAAC;gBAC9C,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC,GAAG,QAAQ,CAAC;aACzC;iBAAM;IACL,YAAA,MAAM,GAAG,GAAG,GAAG,CAAC,CAAC;gBACjB,MAAM,GAAG,CAAC,CAAC;aACZ;YAED,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;YACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;YACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;YACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;IAEtC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,GAAG,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,MAAM,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,CAAC;YAEjC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;YACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;YACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;IACzB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,EAAE,GAAG,MAAM,CAAC;IAEzB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAoB,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC;;;;;;;;IAQG;;;IAIH,QAAA,MAAM,KAAK,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAElC,QAAA,IAAI,KAAK,GAAG,GAAG,EAAE;;IAEf,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,KAAK,GAAG,CAAC,CAAC,CAAC;IAClC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;IACvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;IAE3B,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;IACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;IACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;aACrC;iBAAM;;gBAEL,IAAI,CAAC,GAAG,CAAC,CAAC;gBAEV,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,EAAE;oBACf,CAAC,GAAG,CAAC,CAAC;iBACP;IACD,YAAA,IAAI,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE;oBACxB,CAAC,GAAG,CAAC,CAAC;iBACP;gBAED,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;gBACtB,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAEtB,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC;IACzE,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;IAEvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;gBAE3B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;gBACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;gBACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;aACrD;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,SAAS,CACd,eAAuB,EACvB,eAAuB,EACvB,eAAuB,EACvB,KAAoB,EACpB,GAAO,EAAA;YACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;IACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;IACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;YAEzC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAEhC,QAAQ,KAAK;IACX,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA;IACE,gBAAA,MAAM,IAAI,KAAK,CAAC,2BAA2B,KAAK,CAAA,CAAE,CAAC,CAAC;aACvD;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA+B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACxE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;YACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;SACtE;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACpF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACzD;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC9C;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACzE;IAED;;;;IAIG;QACH,SAAS,QAAQ,CAA+B,GAAO,EAAA;YACrD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED,IAAA,MAAM,QAAQ,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAC/B,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAChC,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAEhC;;;;;;;IAOG;IACH,IAAA,SAAS,UAAU,CAA+B,KAAc,EAAE,KAAc,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,GAAG,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,EAAE,KAAK,CAAC,CAAC;IACnC,QAAA,IAAI,GAAG,GAAG,CAAC,QAAQ,EAAE;gBACnB,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;gBACvC,IAAI,IAAI,CAAC,GAAG,CAAC,QAAQ,CAAC,GAAG,QAAQ,EAAE;oBACjC,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;iBACxC;IAED,YAAA,IAAI,CAAC,SAAS,CAAC,QAAQ,EAAE,QAAQ,CAAC,CAAC;gBACnC,aAAa,CAAC,QAAQ,EAAE,IAAI,CAAC,EAAE,EAAE,MAAM,CAAC,CAAC;IAEzC,YAAA,OAAO,MAAM,CAAC;aACf;IAAM,aAAA,IAAI,GAAG,GAAG,QAAQ,EAAE;IACzB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,YAAA,OAAO,MAAM,CAAC;aACf;iBAAM;gBACL,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;gBAEnC,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;gBACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;gBACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;IACxB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,CAAC;IAEpB,YAAA,OAAO,SAAS,CAAC,MAAM,EAAE,MAAM,CAAC,CAAC;aAClC;SACF;IAED,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC9B,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAE9B;;;;;;;;;IASG;IACH,IAAA,SAAS,MAAM,CACX,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAS,EACT,GAAO,EAAA;YACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;YAC1B,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;IAC1B,QAAA,KAAK,CAAC,SAAS,EAAE,SAAS,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;IAErD,QAAA,OAAO,MAAM,CAAC;SACf;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,aAAa;YACb,WAAW;YACX,KAAK;YACL,QAAQ;YACR,GAAG;YACH,OAAO;YACP,OAAO;YACP,OAAO;YACP,KAAK;YACL,OAAO;YACP,SAAS;YACT,OAAO;YACP,SAAS;YACT,IAAI;YACJ,KAAK;YACL,GAAG;YACH,QAAQ;YACR,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,GAAG;YACH,IAAI;YACJ,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,SAAS;YACT,mBAAmB;YACnB,MAAM;YACN,QAAQ;YACR,UAAU;YACV,MAAM;SACP,CAAC;IAEF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAExB;;;;;;;;;;;;;;;;;;;;;IAqBG;IACG,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;IC35BA;;;;;;;;;;;;;;;;;;;;IAoBG;IAUH;;IAEK;IACL,SAAS,UAAU,CAAyC,IAAuB,EAAA;IAEnF;;;;;;;IAOG;QACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;IAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;yBACf;qBACF;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;;;IAUG;QACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YAC3F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE5B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEz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f;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGD,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACzE;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;YACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;SACtE;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACzD;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC9C;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;YACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACzD;IAED;;;;;IAKG;QACH,MAAM,IAAI,GAAG,QAAQ,CAAC;IAEtB;;;;;IAKG;IACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;YACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC9C;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,IAAI,CAA8B,GAAO,EAAA;YAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAExD,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;YACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SACvC;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;gBACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;aACrC;IAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;SACxB;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SAChC;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,IAAI;YACJ,KAAK;YACL,KAAK;YACL,KAAK;YACL,GAAG;YACH,SAAS;YACT,QAAQ;YACR,GAAG;YACH,mBAAmB;YACnB,MAAM;YACN,IAAI;YACJ,KAAK;YACL,GAAG;YACH,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,OAAO;YACP,MAAM;YACN,GAAG;YACH,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,QAAQ;YACR,IAAI;YACJ,UAAU;YACV,MAAM;YACN,SAAS;YACT,MAAM;YACN,IAAI;YACJ,KAAK;YACL,QAAQ;YACR,GAAG;YACH,MAAM;YACN,GAAG;YACH,IAAI;YACJ,aAAa;YACb,SAAS;YACT,QAAQ;YACR,QAAQ;SACT,CAAC;IACF,CAAC;IAID,MAAM,KAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAExB;;;;;;;;;;;;;;;;;;;;;IAqBG;IACG,SAAU,MAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAG,KAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAG,UAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAA,KAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;ICvxBA;;;IAGG;IAsDH;;IAEG;IACH,SAAS,aAAa,CAQlB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EAAA;QAE1B,OAAO;;IAEL,QAAA,IAAI,EAAEK,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEJ,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEI,MAAU,CAAO,QAAQ,CAAC;SACjC,CAAC;IACJ,CAAC;AAEY,UAAA;IACX;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI,GACL,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,UAAA;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,UAAA;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,SAAS,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK;;;;;;;;;;;;;;;;;;;;;;;;;;"} \ No newline at end of file +{"version":3,"file":"wgpu-matrix.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/vec3-impl.ts","../../../src/mat3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n const vec3 = getVec3API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n/**\n * Returns the \"2d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction get3DScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec3.create());\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n get3DScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["getAPIImpl","utils.EPSILON","cache","getAPI","getVec2API","getVec3API","getMat3API","getMat4API","getQuatAPI","getVec4API"],"mappings":";;;;;;;IAMA,SAAS,eAAe,CACtB,mBAAsB,EACtB,QAA6C,EAAA;QAE7C,OAAO,cAAc,mBAAmB,CAAA;IACtC,QAAA,WAAA,CAAY,GAAG,IAAW,EAAA;IACxB,YAAA,KAAK,CAAC,GAAG,IAAI,CAAC,CAAC;gBACf,QAAQ,CAAC,IAAuB,CAAC,CAAC;aACnC;IACG,KAAA,CAAC;IACT,CAAC;IAEM,MAAM,SAAS,GAAG,eAAe,EAAC,KAAa,GAAE,CAAC,IAAI,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC;;IClBvE;;;;;;;;;;;;;;;;;;;;IAoBG;IAEI,IAAI,OAAO,GAAG,QAAQ,CAAC;IAE9B;;;;IAIG;IACG,SAAU,UAAU,CAAC,CAAS,EAAA;QAClC,MAAM,GAAG,GAAG,OAAO,CAAC;QACpB,OAAO,GAAG,CAAC,CAAC;IACZ,IAAA,OAAO,GAAG,CAAC;IACb,CAAC;IAED;;;;IAIG;IACG,SAAU,QAAQ,CAAC,OAAe,EAAA;IACtC,IAAA,OAAO,OAAO,GAAG,IAAI,CAAC,EAAE,GAAG,GAAG,CAAC;IACjC,CAAC;IAED;;;;IAIG;IACG,SAAU,QAAQ,CAAC,OAAe,EAAA;IACtC,IAAA,OAAO,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC,EAAE,CAAC;IACjC,CAAC;IAED;;;;;;IAMG;aACa,IAAI,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;QAClD,OAAO,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IACzB,CAAC;IAED;;;;;;;;IAQG;aACa,WAAW,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;IACzD,IAAA,MAAM,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QAChB,OAAO,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,OAAO;IAC9B,UAAE,CAAC;cACD,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IACnB,CAAC;IAED;;;;;;;;;;;;;;IAcG;IACa,SAAA,eAAe,CAAC,CAAS,EAAE,CAAS,EAAA;QAClD,OAAO,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,CAAC,CAAC;IAC3B;;;;;;;;;;;;;ICjGA;;;;;;;;;;;;;;;;;;;;IAoBG;IAYH;;IAEG;IACH,SAASA,YAAU,CAAyC,IAAuB,EAAA;IAEnF;;;;;;;;;;;;;;;IAeG;QACH,SAAS,MAAM,CAAC,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC,EAAA;IAC1B,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;iBACf;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE5B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE/C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;IACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAC1C,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAC1C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;IACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;SAC1B;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACvC;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;IACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;SAClC;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACrC;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC1B;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;YACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACrC;IAED;;;;;IAKG;QACH,MAAM,IAAI,GAAG,QAAQ,CAAC;IAEtB;;;;;IAKG;IACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;YACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC1B;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEzC,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;IAC1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;IACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;IAEpC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,IAAI,CAA8B,GAAO,EAAA;YAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEvC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;;YAGzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3B,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;IAG3B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEzC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;YACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SACvC;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;gBACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;aACrC;IAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;SACxB;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SAChC;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,IAAI;YACJ,KAAK;YACL,KAAK;YACL,KAAK;YACL,GAAG;YACH,SAAS;YACT,KAAK;YACL,QAAQ;YACR,GAAG;YACH,mBAAmB;YACnB,MAAM;YACN,IAAI;YACJ,KAAK;YACL,GAAG;YACH,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,OAAO;YACP,MAAM;YACN,KAAK;YACL,GAAG;YACH,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,QAAQ;YACR,IAAI;YACJ,UAAU;YACV,MAAM;YACN,SAAS;YACT,MAAM;YACN,IAAI;YACJ,KAAK;YACL,QAAQ;YACR,GAAG;YACH,MAAM;YACN,GAAG;YACH,MAAM;YACN,IAAI;YACJ,aAAa;YACb,aAAa;YACb,MAAM;YACN,SAAS;YACT,QAAQ;YACR,QAAQ;SACT,CAAC;IACF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;IC1yBA;;;;;;;;;;;;;;;;;;;;IAoBG;IAYH;;IAEK;IACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;IAEnF;;;;;;IAMG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;IAChD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;qBACf;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;;IASG;QACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE5B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE/C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;IACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACpD,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACpD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;IACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;SAC1B;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACxD;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACtC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;IACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;SACtD;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SAC/C;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SACpC;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;YACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SAC/C;IAED;;;;;IAKG;QACH,MAAM,IAAI,GAAG,QAAQ,CAAC;IAEtB;;;;;IAKG;IACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;YACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SACpC;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEnD,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAGD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;YAC1C,MAAM,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAChC,QAAA,MAAM,MAAM,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC;IAC5C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;IACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;IACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,KAAK,CAAC;IAEtB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,IAAI,CAA8B,GAAO,EAAA;YAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC;IAEzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;IACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;IACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;IAE1D,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,qBAAqB,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEtE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAE5C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEpB,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEf,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;YAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;YAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;YAE5B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;YACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;YACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;IAErD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;YACpE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,OAAO,MAAM,CAAC;SACjB;IACD;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YAC3E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACjB;IACD;;;;IAIG;IACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACnD,QAAA,OAAO,MAAM,CAAC;SACjB;IAED;;;;;;;;IAQG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,EAAE,CAAC;YACb,MAAM,CAAC,GAAG,EAAE,CAAC;;IAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;YAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;IAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,EAAE,CAAC;YACb,MAAM,CAAC,GAAG,EAAE,CAAC;;IAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;YAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;IAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,MAAM,CAAC,GAAG,EAAE,CAAC;YACb,MAAM,CAAC,GAAG,EAAE,CAAC;;IAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;YAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;YACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;IAGZ,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;YACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SACvC;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;gBACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;aACrC;IAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;SACxB;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SAChC;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,IAAI;YACJ,KAAK;YACL,KAAK;YACL,KAAK;YACL,GAAG;YACH,SAAS;YACT,KAAK;YACL,QAAQ;YACR,GAAG;YACH,mBAAmB;YACnB,MAAM;YACN,IAAI;YACJ,KAAK;YACL,GAAG;YACH,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,OAAO;YACP,MAAM;YACN,KAAK;YACL,GAAG;YACH,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,QAAQ;YACR,IAAI;YACJ,UAAU;YACV,MAAM;YACN,SAAS;YACT,MAAM;YACN,IAAI;YACJ,KAAK;YACL,QAAQ;YACR,GAAG;YACH,MAAM;YACN,GAAG;YACH,MAAM;YACN,IAAI;YACJ,aAAa;YACb,qBAAqB;YACrB,aAAa;YACb,aAAa;YACb,cAAc;YACd,OAAO;YACP,UAAU;YACV,OAAO;YACP,OAAO;YACP,OAAO;YACP,SAAS;YACT,QAAQ;YACR,QAAQ;SACT,CAAC;IAEF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;ICpgCA;;;;;;;;;;;;;;;;;;;;IAoBG;IAgBH;;IAEK;IACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;IACjF,IAAA,MAAM,IAAI,GAAGI,QAAU,CAAU,IAAI,CAAC,CAAC;IACvC,IAAA,MAAM,IAAI,GAAGC,QAAU,CAAU,IAAI,CAAC,CAAC;IAEzC;;;;;;;;;;;;;;;;;;;;;;IAsBG;IACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EAAA;IACvC,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;;IAE5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4CAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;6CACjB;yCACF;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;IAeG;QACH,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,GAAO,EAAA;YAC7C,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAC1C,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAC7E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;YAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEhG,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;IAEhE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAE7D,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGJ,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;SAChD;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;YACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;gBACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;SACxB;IAED;;;;;IAKG;QACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;YACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEjD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;IAChB,YAAA,IAAI,CAAS,CAAC;;;;IAMd,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,OAAO,MAAM,CAAC;aACf;YAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAEvD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAEzB,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YACnC,MAAM,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YACnC,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAEnC,QAAA,MAAM,MAAM,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;IAEv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f;IAED;;;;IAIG;QACH,SAAS,WAAW,CAAC,CAAU,EAAA;YAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAEzB,OAAO,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;gBAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;gBAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;SACtC;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAE/C,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;IACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;aACpB;YACD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;YACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;IAC3C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YACzF,MAAM,MAAM,IAAI,GAAG,KAAK,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAM,CAAC;IAEnD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;IACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;IAEtC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEzC,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;IAIG;IACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,GAAO,EAAA;YACpE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;IAEtC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAEjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEnD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;YACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACvD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEvD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;IAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;aAClB;IAED,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IACvC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IACvC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAEvC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAElD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACtF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAE/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAG/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEvD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEh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gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;YACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEjD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAE9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;QAED,OAAO;YACL,KAAK;YACL,MAAM;YACN,GAAG;YACH,QAAQ;YACR,QAAQ;YACR,MAAM;YACN,IAAI;YACJ,mBAAmB;YACnB,MAAM;YACN,QAAQ;YACR,SAAS;YACT,OAAO;YACP,MAAM;YACN,WAAW;YACX,GAAG;YACH,QAAQ;YACR,cAAc;YACd,cAAc;YACd,OAAO;YACP,OAAO;YACP,UAAU;YACV,YAAY;YACZ,WAAW;YACX,SAAS;YACT,QAAQ;YACR,MAAM;YACN,OAAO;YACP,KAAK;YACL,cAAc;YACd,YAAY;SACb,CAAC;IAEF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;ICzxBA;;IAEK;IACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;IACjF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAU,IAAI,CAAC,CAAC;IAEzC;;;;;;;;;;;;;;;;;;;;;;IAsBG;IAGH;;;;;;;;;;;;;;;;;;;;;;;;;;;;;IA6BG;IACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,GAAY,EAAE,GAAY,EACpD,GAAY,EAAE,GAAY,EAAE,GAAY,EAAE,GAAY,EAAA;IACxD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;IAC5B,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,4CAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,4CAAA,IAAI,EAAE,KAAK,SAAS,EAAE;IACpB,gDAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;IACf,gDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,oDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,oDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,wDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,wDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,4DAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,4DAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,gEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,gEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,oEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,oEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;IACrB,wEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;yEAClB;qEACF;iEACF;6DACF;yDACF;qDACF;iDACF;6CACF;yCACF;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;;;;;;IAsBG;IACH,IAAA,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,GAAW,EAAE,GAAW,EAChD,GAAW,EAAE,GAAW,EAAE,GAAW,EAAE,GAAW,EAClD,GAAO,EAAA;YACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;IAAG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAC1E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAE1E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAC/E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAO,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAE/E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;IAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;YAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;YAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAChG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEhG,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YACtF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;IAEtF,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAElF,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGJ,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;IACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;SAChD;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;YACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;IACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;gBACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;SACxB;IAED;;;;;IAKG;QACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;YACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAElE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;IAChB,YAAA,IAAI,CAAC,CAAC;IAEN,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEV,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;gBACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEV,YAAA,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACV,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IACd,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACV,YAAA,OAAO,MAAM,CAAC;aACf;YAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAC1E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAC1E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAC1E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IAE1E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IACzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;YAE5C,MAAM,CAAC,GAAG,CAAC,IAAI,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC,CAAC;IAE1D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;IACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;IAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;IAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;IAEnD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,WAAW,CAAC,CAAU,EAAA;YAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;IAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;IACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;IAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;IACnD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;IACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;IAEnD,QAAA,OAAO,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC;SAClD;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;IACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;YACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;IAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAE3D,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;IACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;YACD,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,OAAO,MAAM,CAAC;SACf;;;;;;;;IASD,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;YACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;YAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;IACtC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAM,EAAA;YACxF,MAAM,MAAM,GAAG,CAAC,GAAG,KAAK,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC;IAEhD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;IACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;IAE3C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAEjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;YACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAEnD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;;;;;;;;IAwBG;QACH,SAAS,WAAW,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAY,EAAE,GAAO,EAAA;YACnI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,IAAI,CAAC,EAAE,GAAG,GAAG,GAAG,GAAG,GAAG,qBAAqB,CAAC,CAAC;IAEhE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,MAAM,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,MAAM,CAAC,QAAQ,CAAC,IAAI,CAAC,EAAE;gBACzB,MAAM,QAAQ,GAAG,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;gBAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;aACtC;iBAAM;IACL,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAChB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,CAAC;aACrB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;;;;IAoBG,QAAA,SAAS,mBAAmB,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAI,GAAG,QAAQ,EAAE,GAAO,EAAA;YACjJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,qBAAqB,GAAG,GAAG,CAAC,CAAC;IAEpD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC;IACxB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,IAAI,KAAK,QAAQ,EAAE;IACrB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC;aACpB;iBAAM;gBACL,MAAM,QAAQ,GAAG,CAAC,IAAI,IAAI,GAAG,KAAK,CAAC,CAAC;IACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,GAAG,QAAQ,CAAC;gBAC9B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;aACtC;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;IAcG;IACH,IAAA,SAAS,KAAK,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;YACtI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;YACf,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;YACf,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,GAAG,IAAI,KAAK,IAAI,GAAG,KAAK,CAAC,CAAC;IAC7C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,KAAK,MAAM,GAAG,GAAG,CAAC,CAAC;YAC7C,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;IAiBG;IACH,IAAA,SAAS,OAAO,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;YACxI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;IAC1B,QAAA,MAAM,EAAE,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;YAExB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;YACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;IACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,CAAC;IACtB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,GAAG,GAAG,EAAE,CAAC;IAC7B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;;;;;IAiBG;IACH,IAAA,SAAS,eAAe,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAG,GAAG,QAAQ,EAAE,GAAO,EAAA;YACnJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;IAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;YAE1B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;IAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;YACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;IACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,IAAI,GAAG,KAAK,QAAQ,EAAE;IACpB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,CAAC;aACnB;iBAAM;gBACL,MAAM,QAAQ,GAAG,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC;IAClC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;gBAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,IAAI,GAAG,QAAQ,CAAC;aACpC;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAE5B;;;;;;;;;;;;;IAaG;QACH,SAAS,GAAG,CAA8B,QAAiB,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;YAChG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,MAAM,EAAE,QAAQ,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IAC9D,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;YAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEhG,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;;;IAaG;QACH,SAAS,SAAS,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;YACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;YAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YAChG,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEjF,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;;;IAWG;QACH,SAAS,MAAM,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;YAC9F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;IACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;YAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEv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f,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;YACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;YAC3E,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAE3E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;IAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;IACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;aAClB;IAED,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;IAElD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YAClB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEnE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;YAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;IAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;IACH,IAAA,SAAS,YAAY,CAA8B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;YAC/F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAC3C,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;IACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;YACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAE7B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;IAC5C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAC/B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAEf,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,MAAM,QAAQ,GAAG,YAAY,CAAC;IAE9B;;;;;;;;;IASG;QACH,SAAS,UAAU,CAA8B,CAAU,EAAE,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;YACzG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;YAC3C,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;YACP,CAAC,IAAI,CAAC,CAAC;IACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;IACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;YACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;YACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;IACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAE7B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;YAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;YAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;YAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;IAE9B,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAElB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;IAE/C,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;;;;IAQG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;YAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;YAAK,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAC3E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAE3E,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEh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gBAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;YACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAElE,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;IAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;IAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;gBAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;gBACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;aACpB;IAED,QAAA,OAAO,MAAM,CAAC;SACf;QAED,OAAO;YACL,MAAM;YACN,GAAG;YACH,QAAQ;YACR,QAAQ;YACR,MAAM;YACN,IAAI;YACJ,KAAK;YACL,mBAAmB;YACnB,MAAM;YACN,QAAQ;YACR,SAAS;YACT,OAAO;YACP,WAAW;YACX,MAAM;YACN,QAAQ;YACR,GAAG;YACH,cAAc;YACd,cAAc;YACd,OAAO;YACP,OAAO;YACP,UAAU;YACV,WAAW;YACX,mBAAmB;YACnB,KAAK;YACL,OAAO;YACP,eAAe;YACf,GAAG;YACH,SAAS;YACT,MAAM;YACN,WAAW;YACX,SAAS;YACT,SAAS;YACT,OAAO;YACP,SAAS;YACT,OAAO;YACP,SAAS;YACT,OAAO;YACP,YAAY;YACZ,QAAQ;YACR,UAAU;YACV,MAAM;YACN,OAAO;YACP,KAAK;YACL,cAAc;YACd,YAAY;SACb,CAAC;IAEF,CAAC;IAKD,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;IC1mDA;;;;;;;;;;;;;;;;;;;;IAoBG;IAeH;;IAEK;IACL,SAASF,YAAU,CAA0C,IAAwB,EAAA;IACnF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAW,IAAI,CAAC,CAAC;IAE1C;;;;;;;IAOG;QACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;IAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;yBACf;qBACF;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;;;IAUG;QACH,SAAS,GAAG,CAA+B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQI;IACJ,IAAA,SAAS,aAAa,CAA+B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;YACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;YACvC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE9B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,WAAW,CAA+B,CAAU,EAAE,GAAO,EAAA;IACpE,QAAA,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,CAAC,CAAC,CAAC,CAAM,CAAC;IAE5C,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YAClC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,GAAG,GAAG,CAAC,CAAC;IAChC,QAAA,IAAI,CAAC,GAAGJ,OAAa,EAAE;gBACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;gBACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;gBACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,EAAE,KAAK,EAAE,IAAI,EAAE,MAAM,EAAE,CAAC;SAChC;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;YACnC,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC;IACpB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;SACjC;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAElD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;IAMG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;IAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAE9B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;IAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAE9B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;YACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;IAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;YAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;YAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAE9B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;QACH,SAAS,KAAK,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEd,QAAA,IAAI,QAAQ,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAErD,QAAA,IAAI,QAAQ,GAAG,CAAC,EAAE;gBAChB,QAAQ,GAAG,CAAC,QAAQ,CAAC;gBACrB,EAAE,GAAG,CAAC,EAAE,CAAC;gBACT,EAAE,GAAG,CAAC,EAAE,CAAC;gBACT,EAAE,GAAG,CAAC,EAAE,CAAC;gBACT,EAAE,GAAG,CAAC,EAAE,CAAC;aACV;IAED,QAAA,IAAI,MAAM,CAAC;IACX,QAAA,IAAI,MAAM,CAAC;YAEX,IAAI,GAAG,GAAG,QAAQ,GAAGA,OAAa,EAAE;gBAClC,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,QAAQ,CAAC,CAAC;gBAClC,MAAM,QAAQ,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,CAAC;IACjC,YAAA,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,KAAK,CAAC,GAAG,QAAQ,CAAC;gBAC9C,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC,GAAG,QAAQ,CAAC;aACzC;iBAAM;IACL,YAAA,MAAM,GAAG,GAAG,GAAG,CAAC,CAAC;gBACjB,MAAM,GAAG,CAAC,CAAC;aACZ;YAED,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;YACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;YACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;YACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;IAEtC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,GAAO,EAAA;YAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEhB,QAAA,MAAM,GAAG,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IAClD,QAAA,MAAM,MAAM,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,CAAC;YAEjC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;YACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;YACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;IACzB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,EAAE,GAAG,MAAM,CAAC;IAEzB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,OAAO,CAA+B,CAAoB,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC;;;;;;;;IAQG;;;IAIH,QAAA,MAAM,KAAK,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;IAElC,QAAA,IAAI,KAAK,GAAG,GAAG,EAAE;;IAEf,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,KAAK,GAAG,CAAC,CAAC,CAAC;IAClC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;IACvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;IAE3B,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;IACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;IACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;aACrC;iBAAM;;gBAEL,IAAI,CAAC,GAAG,CAAC,CAAC;gBAEV,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,EAAE;oBACf,CAAC,GAAG,CAAC,CAAC;iBACP;IACD,YAAA,IAAI,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE;oBACxB,CAAC,GAAG,CAAC,CAAC;iBACP;gBAED,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;gBACtB,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAEtB,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC;IACzE,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;IAEvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;gBAE3B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;gBACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;gBACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;aACrD;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,SAAS,CACd,eAAuB,EACvB,eAAuB,EACvB,eAAuB,EACvB,KAAoB,EACpB,GAAO,EAAA;YACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;IACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;IACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;YAEzC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;YAEhC,QAAQ,KAAK;IACX,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA,KAAK,KAAK;IACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;IACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;oBACxC,MAAM;IAER,YAAA;IACE,gBAAA,MAAM,IAAI,KAAK,CAAC,2BAA2B,KAAK,CAAA,CAAE,CAAC,CAAC;aACvD;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA+B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACxE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;YACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;SACtE;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACpF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACzD;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC9C;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;YAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACzE;IAED;;;;IAIG;QACH,SAAS,QAAQ,CAA+B,GAAO,EAAA;YACrD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED,IAAA,MAAM,QAAQ,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAC/B,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAChC,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;IAEhC;;;;;;;IAOG;IACH,IAAA,SAAS,UAAU,CAA+B,KAAc,EAAE,KAAc,EAAE,GAAO,EAAA;YACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,GAAG,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,EAAE,KAAK,CAAC,CAAC;IACnC,QAAA,IAAI,GAAG,GAAG,CAAC,QAAQ,EAAE;gBACnB,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;gBACvC,IAAI,IAAI,CAAC,GAAG,CAAC,QAAQ,CAAC,GAAG,QAAQ,EAAE;oBACjC,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;iBACxC;IAED,YAAA,IAAI,CAAC,SAAS,CAAC,QAAQ,EAAE,QAAQ,CAAC,CAAC;gBACnC,aAAa,CAAC,QAAQ,EAAE,IAAI,CAAC,EAAE,EAAE,MAAM,CAAC,CAAC;IAEzC,YAAA,OAAO,MAAM,CAAC;aACf;IAAM,aAAA,IAAI,GAAG,GAAG,QAAQ,EAAE;IACzB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,YAAA,OAAO,MAAM,CAAC;aACf;iBAAM;gBACL,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;gBAEnC,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;gBACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;gBACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;IACxB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,CAAC;IAEpB,YAAA,OAAO,SAAS,CAAC,MAAM,EAAE,MAAM,CAAC,CAAC;aAClC;SACF;IAED,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC9B,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAE9B;;;;;;;;;IASG;IACH,IAAA,SAAS,MAAM,CACX,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAS,EACT,GAAO,EAAA;YACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;YAC1B,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;IAC1B,QAAA,KAAK,CAAC,SAAS,EAAE,SAAS,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;IAErD,QAAA,OAAO,MAAM,CAAC;SACf;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,aAAa;YACb,WAAW;YACX,KAAK;YACL,QAAQ;YACR,GAAG;YACH,OAAO;YACP,OAAO;YACP,OAAO;YACP,KAAK;YACL,OAAO;YACP,SAAS;YACT,OAAO;YACP,SAAS;YACT,IAAI;YACJ,KAAK;YACL,GAAG;YACH,QAAQ;YACR,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,GAAG;YACH,IAAI;YACJ,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,SAAS;YACT,mBAAmB;YACnB,MAAM;YACN,QAAQ;YACR,UAAU;YACV,MAAM;SACP,CAAC;IAEF,CAAC;IAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAExB;;;;;;;;;;;;;;;;;;;;;IAqBG;IACG,SAAUC,QAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;IC35BA;;;;;;;;;;;;;;;;;;;;IAoBG;IAUH;;IAEK;IACL,SAAS,UAAU,CAAyC,IAAuB,EAAA;IAEnF;;;;;;;IAOG;QACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;IAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;IAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;IACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;yBACf;qBACF;iBACF;aACF;IACD,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,UAAU,GAAG,MAAM,CAAC;IAE1B;;;;;;;;;;IAUG;QACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;YAC3F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE5B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAE7B,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;IACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;YAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEz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f;IAED;;;;;;IAMG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;YAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;IAEhC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;IAKG;IACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;IACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGD,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;IACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;SAC9C;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;IACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;SACzE;IAED;;;;;;;;;IASG;QACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAErC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;;IASG;QACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAExC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;;IAQG;IACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjC,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,SAAS,CAAC;IAExB;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAErB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,OAAO,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;YACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;SACtE;IAED;;;;IAIG;QACH,SAAS,MAAM,CAAC,CAAU,EAAA;IACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACzD;IAED;;;;IAIG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,QAAQ,CAAC,CAAU,EAAA;IAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC9C;IAED;;;;IAIG;QACH,MAAM,KAAK,GAAG,QAAQ,CAAC;IAEvB;;;;;IAKG;IACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;YACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;SACzD;IAED;;;;;IAKG;QACH,MAAM,IAAI,GAAG,QAAQ,CAAC;IAEtB;;;;;IAKG;IACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;YACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;SAC9C;IAED;;;;;IAKG;QACH,MAAM,MAAM,GAAG,UAAU,CAAC;IAE1B;;;;;IAKG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;YACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;IAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;IACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;IACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;aACtB;iBAAM;IACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;IAED,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;IAKG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;YAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;IAElB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;IACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;YAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEjB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;IAMG;QACH,MAAM,KAAK,GAAG,IAAI,CAAC;IAEnB;;;;;;;IAOG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,QAAQ,CAAC;IAErB;;;;;;;IAOG;IACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAExB,QAAA,OAAO,MAAM,CAAC;SACf;IAED;;;;;;;IAOG;QACH,MAAM,GAAG,GAAG,MAAM,CAAC;IAEnB;;;;IAIG;QACH,SAAS,IAAI,CAA8B,GAAO,EAAA;YAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;IAEd,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;IAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;IAExD,QAAA,OAAO,MAAM,CAAC;SACf;IAGD;;;;;;IAMG;IACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;YAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;YACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SACvC;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;YAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;IAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;gBACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;aACrC;IAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;SACxB;IAED;;;;;;IAMG;IACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;YAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;YACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;SAChC;QAED,OAAO;YACL,MAAM;YACN,UAAU;YACV,GAAG;YACH,IAAI;YACJ,KAAK;YACL,KAAK;YACL,KAAK;YACL,GAAG;YACH,SAAS;YACT,QAAQ;YACR,GAAG;YACH,mBAAmB;YACnB,MAAM;YACN,IAAI;YACJ,KAAK;YACL,GAAG;YACH,GAAG;YACH,SAAS;YACT,KAAK;YACL,SAAS;YACT,OAAO;YACP,MAAM;YACN,GAAG;YACH,MAAM;YACN,GAAG;YACH,QAAQ;YACR,KAAK;YACL,QAAQ;YACR,IAAI;YACJ,UAAU;YACV,MAAM;YACN,SAAS;YACT,MAAM;YACN,IAAI;YACJ,KAAK;YACL,QAAQ;YACR,GAAG;YACH,MAAM;YACN,GAAG;YACH,IAAI;YACJ,aAAa;YACb,SAAS;YACT,QAAQ;YACR,QAAQ;SACT,CAAC;IACF,CAAC;IAID,MAAM,KAAK,GAAG,IAAI,GAAG,EAAE,CAAC;IAExB;;;;;;;;;;;;;;;;;;;;;IAqBG;IACG,SAAU,MAAM,CAAmC,IAAiB,EAAA;QACxE,IAAI,GAAG,GAAG,KAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;QAC1B,IAAI,CAAC,GAAG,EAAE;IACR,QAAA,GAAG,GAAG,UAAU,CAAI,IAAI,CAAC,CAAC;IAC1B,QAAA,KAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;SACtB;IACD,IAAA,OAAO,GAAa,CAAC;IACvB;;ICvxBA;;;IAGG;IAsDH;;IAEG;IACH,SAAS,aAAa,CAQlB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EAAA;QAE1B,OAAO;;IAEL,QAAA,IAAI,EAAEK,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEJ,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;IAEhC,QAAA,IAAI,EAAEI,MAAU,CAAO,QAAQ,CAAC;SACjC,CAAC;IACJ,CAAC;AAEY,UAAA;IACX;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI;IACJ;;;IAGG;IACH,IAAI,GACL,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,UAAA;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,UAAA;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK;IACX;;;IAGG;IACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,SAAS,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK;;;;;;;;;;;;;;;;;;;;;;;;;;"} \ No newline at end of file diff --git a/dist/3.x/wgpu-matrix.min.js b/dist/3.x/wgpu-matrix.min.js index 34a7a24..46565a0 100644 --- a/dist/3.x/wgpu-matrix.min.js +++ b/dist/3.x/wgpu-matrix.min.js @@ -1,2 +1,2 @@ -!function(n,t){"object"==typeof exports&&"undefined"!=typeof module?t(exports):"function"==typeof define&&define.amd?define(["exports"],t):t((n="undefined"!=typeof globalThis?globalThis:n||self).wgpuMatrix={})}(this,(function(n){"use strict";const t=(e=Array,r=n=>n.fill(0),class extends e{constructor(...n){super(...n),r(this)}});var e,r;let o=1e-6;var c={__proto__:null,get EPSILON(){return o},degToRad:function(n){return n*Math.PI/180},euclideanModulo:function(n,t){return(n%t+t)%t},inverseLerp:function(n,t,e){const r=t-n;return Math.abs(t-n)1e-5?(r[0]=o/u,r[1]=c/u):(r[0]=0,r[1]=0),r}function l(t,e){const r=e??new n(2);return r[0]=t[0],r[1]=t[1],r}function w(t,e,r){const o=r??new n(2);return o[0]=t[0]*e[0],o[1]=t[1]*e[1],o}function m(t,e,r){const o=r??new n(2);return o[0]=t[0]/e[0],o[1]=t[1]/e[1],o}function d(t,e,r){const o=r??new n(2);return M(t,o),c(o,e,o)}return{create:t,fromValues:t,set:function(t,e,r){const o=r??new n(2);return o[0]=t,o[1]=e,o},ceil:function(t,e){const r=e??new n(2);return r[0]=Math.ceil(t[0]),r[1]=Math.ceil(t[1]),r},floor:function(t,e){const r=e??new n(2);return r[0]=Math.floor(t[0]),r[1]=Math.floor(t[1]),r},round:function(t,e){const r=e??new n(2);return r[0]=Math.round(t[0]),r[1]=Math.round(t[1]),r},clamp:function(t,e=0,r=1,o){const c=o??new n(2);return c[0]=Math.min(r,Math.max(e,t[0])),c[1]=Math.min(r,Math.max(e,t[1])),c},add:function(t,e,r){const o=r??new n(2);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o},addScaled:function(t,e,r,o){const c=o??new n(2);return c[0]=t[0]+e[0]*r,c[1]=t[1]+e[1]*r,c},angle:function(n,t){const e=n[0],r=n[1],o=t[0],c=t[1],u=Math.sqrt(e*e+r*r)*Math.sqrt(o*o+c*c),s=u&&a(n,t)/u;return Math.acos(s)},subtract:e,sub:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e?d(t,e,o):l(t,o)},midpoint:function(t,e,o){return r(t,e,.5,o??new n(2))}}}(n),u.set(n,t)),t}const s=new Map;function i(n){let t=s.get(n);return t||(t=function(n){const t=a(n);function e(t,e){const r=e??new n(12);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[4]=t[4],r[5]=t[5],r[6]=t[6],r[8]=t[8],r[9]=t[9],r[10]=t[10],r}function r(t){const e=t??new n(12);return e[0]=1,e[1]=0,e[2]=0,e[4]=0,e[5]=1,e[6]=0,e[8]=0,e[9]=0,e[10]=1,e}function c(t,e){const r=e??new n(12),o=t[0],c=t[1],u=t[2],a=t[4],s=t[5],i=t[6],f=t[8],h=t[9],M=t[10],l=M*s-i*h,w=-M*a+i*f,m=h*a-s*f,d=1/(o*l+c*w+u*m);return r[0]=l*d,r[1]=(-M*c+u*h)*d,r[2]=(i*c-u*s)*d,r[4]=w*d,r[5]=(M*o-u*f)*d,r[6]=(-i*o+u*a)*d,r[8]=m*d,r[9]=(-h*o+c*f)*d,r[10]=(s*o-c*a)*d,r}function u(t,e,r){const o=r??new n(12),c=t[0],u=t[1],a=t[2],s=t[4],i=t[5],f=t[6],h=t[8],M=t[9],l=t[10],w=e[0],m=e[1],d=e[2],v=e[4],p=e[5],q=e[6],b=e[8],g=e[9],x=e[10];return o[0]=c*w+s*m+h*d,o[1]=u*w+i*m+M*d,o[2]=a*w+f*m+l*d,o[4]=c*v+s*p+h*q,o[5]=u*v+i*p+M*q,o[6]=a*v+f*p+l*q,o[8]=c*b+s*g+h*x,o[9]=u*b+i*g+M*x,o[10]=a*b+f*g+l*x,o}return{clone:e,create:function(t,e,r,o,c,u,a,s,i){const f=new n(12);return f[3]=0,f[7]=0,f[11]=0,void 0!==t&&(f[0]=t,void 0!==e&&(f[1]=e,void 0!==r&&(f[2]=r,void 0!==o&&(f[4]=o,void 0!==c&&(f[5]=c,void 0!==u&&(f[6]=u,void 0!==a&&(f[8]=a,void 0!==s&&(f[9]=s,void 0!==i&&(f[10]=i))))))))),f},set:function(t,e,r,o,c,u,a,s,i,f){const h=f??new n(12);return h[0]=t,h[1]=e,h[2]=r,h[3]=0,h[4]=o,h[5]=c,h[6]=u,h[7]=0,h[8]=a,h[9]=s,h[10]=i,h[11]=0,h},fromMat4:function(t,e){const r=e??new n(12);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=0,r[4]=t[4],r[5]=t[5],r[6]=t[6],r[7]=0,r[8]=t[8],r[9]=t[9],r[10]=t[10],r[11]=0,r},fromQuat:function(t,e){const r=e??new n(12),o=t[0],c=t[1],u=t[2],a=t[3],s=o+o,i=c+c,f=u+u,h=o*s,M=c*s,l=c*i,w=u*s,m=u*i,d=u*f,v=a*s,p=a*i,q=a*f;return r[0]=1-l-d,r[1]=M+q,r[2]=w-p,r[3]=0,r[4]=M-q,r[5]=1-h-d,r[6]=m+v,r[7]=0,r[8]=w+p,r[9]=m-v,r[10]=1-h-l,r[11]=0,r},negate:function(t,e){const r=e??new n(12);return r[0]=-t[0],r[1]=-t[1],r[2]=-t[2],r[4]=-t[4],r[5]=-t[5],r[6]=-t[6],r[8]=-t[8],r[9]=-t[9],r[10]=-t[10],r},copy:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])1e-5?(r[0]=o/a,r[1]=c/a,r[2]=u/a):(r[0]=0,r[1]=0,r[2]=0),r}function l(t,e){const r=e??new n(3);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r}function w(t,e,r){const o=r??new n(3);return o[0]=t[0]*e[0],o[1]=t[1]*e[1],o[2]=t[2]*e[2],o}function m(t,e,r){const o=r??new n(3);return o[0]=t[0]/e[0],o[1]=t[1]/e[1],o[2]=t[2]/e[2],o}function d(t,e,r){const o=r??new n(3);return M(t,o),c(o,e,o)}return{create:t,fromValues:t,set:function(t,e,r,o){const c=o??new n(3);return c[0]=t,c[1]=e,c[2]=r,c},ceil:function(t,e){const r=e??new n(3);return r[0]=Math.ceil(t[0]),r[1]=Math.ceil(t[1]),r[2]=Math.ceil(t[2]),r},floor:function(t,e){const r=e??new n(3);return r[0]=Math.floor(t[0]),r[1]=Math.floor(t[1]),r[2]=Math.floor(t[2]),r},round:function(t,e){const r=e??new n(3);return r[0]=Math.round(t[0]),r[1]=Math.round(t[1]),r[2]=Math.round(t[2]),r},clamp:function(t,e=0,r=1,o){const c=o??new n(3);return c[0]=Math.min(r,Math.max(e,t[0])),c[1]=Math.min(r,Math.max(e,t[1])),c[2]=Math.min(r,Math.max(e,t[2])),c},add:function(t,e,r){const o=r??new n(3);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o[2]=t[2]+e[2],o},addScaled:function(t,e,r,o){const c=o??new n(3);return c[0]=t[0]+e[0]*r,c[1]=t[1]+e[1]*r,c[2]=t[2]+e[2]*r,c},angle:function(n,t){const e=n[0],r=n[1],o=n[2],c=t[0],u=t[1],s=t[2],i=Math.sqrt(e*e+r*r+o*o)*Math.sqrt(c*c+u*u+s*s),f=i&&a(n,t)/i;return Math.acos(f)},subtract:e,sub:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e?d(t,e,o):l(t,o)},midpoint:function(t,e,o){return r(t,e,.5,o??new n(3))}}}(n),f.set(n,t)),t}const M=new Map;function l(n){let t=M.get(n);return t||(t=function(n){const t=h(n);function e(t,e){const r=e??new n(16);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=t[3],r[4]=t[4],r[5]=t[5],r[6]=t[6],r[7]=t[7],r[8]=t[8],r[9]=t[9],r[10]=t[10],r[11]=t[11],r[12]=t[12],r[13]=t[13],r[14]=t[14],r[15]=t[15],r}const r=e;function c(t){const e=t??new n(16);return e[0]=1,e[1]=0,e[2]=0,e[3]=0,e[4]=0,e[5]=1,e[6]=0,e[7]=0,e[8]=0,e[9]=0,e[10]=1,e[11]=0,e[12]=0,e[13]=0,e[14]=0,e[15]=1,e}function u(t,e){const r=e??new n(16),o=t[0],c=t[1],u=t[2],a=t[3],s=t[4],i=t[5],f=t[6],h=t[7],M=t[8],l=t[9],w=t[10],m=t[11],d=t[12],v=t[13],p=t[14],q=t[15],b=w*q,g=p*m,x=f*q,y=p*h,A=f*m,S=w*h,z=u*q,F=p*a,T=u*m,k=w*a,I=u*h,P=f*a,V=M*v,Z=d*l,L=s*v,R=d*i,E=s*l,X=M*i,Y=o*v,_=d*c,Q=o*l,j=M*c,N=o*i,U=s*c,D=b*i+y*l+A*v-(g*i+x*l+S*v),O=g*c+z*l+k*v-(b*c+F*l+T*v),$=x*c+F*i+I*v-(y*c+z*i+P*v),B=S*c+T*i+P*l-(A*c+k*i+I*l),C=1/(o*D+s*O+M*$+d*B);return r[0]=C*D,r[1]=C*O,r[2]=C*$,r[3]=C*B,r[4]=C*(g*s+x*M+S*d-(b*s+y*M+A*d)),r[5]=C*(b*o+F*M+T*d-(g*o+z*M+k*d)),r[6]=C*(y*o+z*s+P*d-(x*o+F*s+I*d)),r[7]=C*(A*o+k*s+I*M-(S*o+T*s+P*M)),r[8]=C*(V*h+R*m+E*q-(Z*h+L*m+X*q)),r[9]=C*(Z*a+Y*m+j*q-(V*a+_*m+Q*q)),r[10]=C*(L*a+_*h+N*q-(R*a+Y*h+U*q)),r[11]=C*(X*a+Q*h+U*m-(E*a+j*h+N*m)),r[12]=C*(L*w+X*p+Z*f-(E*p+V*f+R*w)),r[13]=C*(Q*p+V*u+_*w-(Y*w+j*p+Z*u)),r[14]=C*(Y*f+U*p+R*u-(N*p+L*u+_*f)),r[15]=C*(N*w+E*u+j*f-(Q*f+U*w+X*u)),r}const a=u;function s(t,e,r){const o=r??new n(16),c=t[0],u=t[1],a=t[2],s=t[3],i=t[4],f=t[5],h=t[6],M=t[7],l=t[8],w=t[9],m=t[10],d=t[11],v=t[12],p=t[13],q=t[14],b=t[15],g=e[0],x=e[1],y=e[2],A=e[3],S=e[4],z=e[5],F=e[6],T=e[7],k=e[8],I=e[9],P=e[10],V=e[11],Z=e[12],L=e[13],R=e[14],E=e[15];return o[0]=c*g+i*x+l*y+v*A,o[1]=u*g+f*x+w*y+p*A,o[2]=a*g+h*x+m*y+q*A,o[3]=s*g+M*x+d*y+b*A,o[4]=c*S+i*z+l*F+v*T,o[5]=u*S+f*z+w*F+p*T,o[6]=a*S+h*z+m*F+q*T,o[7]=s*S+M*z+d*F+b*T,o[8]=c*k+i*I+l*P+v*V,o[9]=u*k+f*I+w*P+p*V,o[10]=a*k+h*I+m*P+q*V,o[11]=s*k+M*I+d*P+b*V,o[12]=c*Z+i*L+l*R+v*E,o[13]=u*Z+f*L+w*R+p*E,o[14]=a*Z+h*L+m*R+q*E,o[15]=s*Z+M*L+d*R+b*E,o}const i=s,f=t.create(),M=t.create(),l=t.create();function w(t,e,r){const o=r??new n(16);let c=t[0],u=t[1],a=t[2];const s=Math.sqrt(c*c+u*u+a*a);c/=s,u/=s,a/=s;const i=c*c,f=u*u,h=a*a,M=Math.cos(e),l=Math.sin(e),w=1-M;return o[0]=i+(1-i)*M,o[1]=c*u*w+a*l,o[2]=c*a*w-u*l,o[3]=0,o[4]=c*u*w-a*l,o[5]=f+(1-f)*M,o[6]=u*a*w+c*l,o[7]=0,o[8]=c*a*w+u*l,o[9]=u*a*w-c*l,o[10]=h+(1-h)*M,o[11]=0,o[12]=0,o[13]=0,o[14]=0,o[15]=1,o}function m(t,e,r,o){const c=o??new n(16);let u=e[0],a=e[1],s=e[2];const i=Math.sqrt(u*u+a*a+s*s);u/=i,a/=i,s/=i;const f=u*u,h=a*a,M=s*s,l=Math.cos(r),w=Math.sin(r),m=1-l,d=f+(1-f)*l,v=u*a*m+s*w,p=u*s*m-a*w,q=u*a*m-s*w,b=h+(1-h)*l,g=a*s*m+u*w,x=u*s*m+a*w,y=a*s*m-u*w,A=M+(1-M)*l,S=t[0],z=t[1],F=t[2],T=t[3],k=t[4],I=t[5],P=t[6],V=t[7],Z=t[8],L=t[9],R=t[10],E=t[11];return c[0]=d*S+v*k+p*Z,c[1]=d*z+v*I+p*L,c[2]=d*F+v*P+p*R,c[3]=d*T+v*V+p*E,c[4]=q*S+b*k+g*Z,c[5]=q*z+b*I+g*L,c[6]=q*F+b*P+g*R,c[7]=q*T+b*V+g*E,c[8]=x*S+y*k+A*Z,c[9]=x*z+y*I+A*L,c[10]=x*F+y*P+A*R,c[11]=x*T+y*V+A*E,t!==c&&(c[12]=t[12],c[13]=t[13],c[14]=t[14],c[15]=t[15]),c}return{create:function(t,e,r,o,c,u,a,s,i,f,h,M,l,w,m,d){const v=new n(16);return void 0!==t&&(v[0]=t,void 0!==e&&(v[1]=e,void 0!==r&&(v[2]=r,void 0!==o&&(v[3]=o,void 0!==c&&(v[4]=c,void 0!==u&&(v[5]=u,void 0!==a&&(v[6]=a,void 0!==s&&(v[7]=s,void 0!==i&&(v[8]=i,void 0!==f&&(v[9]=f,void 0!==h&&(v[10]=h,void 0!==M&&(v[11]=M,void 0!==l&&(v[12]=l,void 0!==w&&(v[13]=w,void 0!==m&&(v[14]=m,void 0!==d&&(v[15]=d)))))))))))))))),v},set:function(t,e,r,o,c,u,a,s,i,f,h,M,l,w,m,d,v){const p=v??new n(16);return p[0]=t,p[1]=e,p[2]=r,p[3]=o,p[4]=c,p[5]=u,p[6]=a,p[7]=s,p[8]=i,p[9]=f,p[10]=h,p[11]=M,p[12]=l,p[13]=w,p[14]=m,p[15]=d,p},fromMat3:function(t,e){const r=e??new n(16);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=0,r[4]=t[4],r[5]=t[5],r[6]=t[6],r[7]=0,r[8]=t[8],r[9]=t[9],r[10]=t[10],r[11]=0,r[12]=0,r[13]=0,r[14]=0,r[15]=1,r},fromQuat:function(t,e){const r=e??new n(16),o=t[0],c=t[1],u=t[2],a=t[3],s=o+o,i=c+c,f=u+u,h=o*s,M=c*s,l=c*i,w=u*s,m=u*i,d=u*f,v=a*s,p=a*i,q=a*f;return r[0]=1-l-d,r[1]=M+q,r[2]=w-p,r[3]=0,r[4]=M-q,r[5]=1-h-d,r[6]=m+v,r[7]=0,r[8]=w+p,r[9]=m-v,r[10]=1-h-l,r[11]=0,r[12]=0,r[13]=0,r[14]=0,r[15]=1,r},negate:function(t,e){const r=e??new n(16);return r[0]=-t[0],r[1]=-t[1],r[2]=-t[2],r[3]=-t[3],r[4]=-t[4],r[5]=-t[5],r[6]=-t[6],r[7]=-t[7],r[8]=-t[8],r[9]=-t[9],r[10]=-t[10],r[11]=-t[11],r[12]=-t[12],r[13]=-t[13],r[14]=-t[14],r[15]=-t[15],r},copy:e,clone:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])o){const n=Math.acos(v),t=Math.sin(n);h=Math.sin((1-r)*n)/t,M=Math.sin(r*n)/t}else h=1-r,M=r;return u[0]=h*a+M*l,u[1]=h*s+M*w,u[2]=h*i+M*m,u[3]=h*f+M*d,u}function i(t,e){const r=e??new n(4);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=t[3],r}const f=i;function M(t,e,r){const o=r??new n(4);return o[0]=t[0]-e[0],o[1]=t[1]-e[1],o[2]=t[2]-e[2],o[3]=t[3]-e[3],o}const l=M;function w(t,e,r){const o=r??new n(4);return o[0]=t[0]*e,o[1]=t[1]*e,o[2]=t[2]*e,o[3]=t[3]*e,o}const m=w;function d(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]+n[3]*t[3]}function v(n){const t=n[0],e=n[1],r=n[2],o=n[3];return Math.sqrt(t*t+e*e+r*r+o*o)}const p=v;function q(n){const t=n[0],e=n[1],r=n[2],o=n[3];return t*t+e*e+r*r+o*o}const b=q;function g(t,e){const r=e??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(r[0]=o/s,r[1]=c/s,r[2]=u/s,r[3]=a/s):(r[0]=0,r[1]=0,r[2]=0,r[3]=1),r}const x=t.create(),y=t.create(),A=t.create(),S=new n(4),z=new n(4);return{create:e,fromValues:r,set:function(t,e,r,o,c){const u=c??new n(4);return u[0]=t,u[1]=e,u[2]=r,u[3]=o,u},fromAxisAngle:c,toAxisAngle:function(n,e){const r=e??t.create(3),c=2*Math.acos(n[3]),u=Math.sin(.5*c);return u>o?(r[0]=n[0]/u,r[1]=n[1]/u,r[2]=n[2]/u):(r[0]=1,r[1]=0,r[2]=0),{angle:c,axis:r}},angle:function(n,t){const e=d(n,t);return Math.acos(2*e*e-1)},multiply:u,mul:a,rotateX:function(t,e,r){const o=r??new n(4),c=.5*e,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),h=Math.cos(c);return o[0]=u*h+i*f,o[1]=a*h+s*f,o[2]=s*h-a*f,o[3]=i*h-u*f,o},rotateY:function(t,e,r){const o=r??new n(4),c=.5*e,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),h=Math.cos(c);return o[0]=u*h-s*f,o[1]=a*h+i*f,o[2]=s*h+u*f,o[3]=i*h-a*f,o},rotateZ:function(t,e,r){const o=r??new n(4),c=.5*e,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),h=Math.cos(c);return o[0]=u*h+a*f,o[1]=a*h-u*f,o[2]=s*h+i*f,o[3]=i*h-s*f,o},slerp:s,inverse:function(t,e){const r=e??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=o*o+c*c+u*u+a*a,i=s?1/s:0;return r[0]=-o*i,r[1]=-c*i,r[2]=-u*i,r[3]=a*i,r},conjugate:function(t,e){const r=e??new n(4);return r[0]=-t[0],r[1]=-t[1],r[2]=-t[2],r[3]=t[3],r},fromMat:function(t,e){const r=e??new n(4),o=t[0]+t[5]+t[10];if(o>0){const n=Math.sqrt(o+1);r[3]=.5*n;const e=.5/n;r[0]=(t[6]-t[9])*e,r[1]=(t[8]-t[2])*e,r[2]=(t[1]-t[4])*e}else{let n=0;t[5]>t[0]&&(n=1),t[10]>t[4*n+n]&&(n=2);const e=(n+1)%3,o=(n+2)%3,c=Math.sqrt(t[4*n+n]-t[4*e+e]-t[4*o+o]+1);r[n]=.5*c;const u=.5/c;r[3]=(t[4*e+o]-t[4*o+e])*u,r[e]=(t[4*e+n]+t[4*n+e])*u,r[o]=(t[4*o+n]+t[4*n+o])*u}return r},fromEuler:function(t,e,r,o,c){const u=c??new n(4),a=.5*t,s=.5*e,i=.5*r,f=Math.sin(a),h=Math.cos(a),M=Math.sin(s),l=Math.cos(s),w=Math.sin(i),m=Math.cos(i);switch(o){case"xyz":u[0]=f*l*m+h*M*w,u[1]=h*M*m-f*l*w,u[2]=h*l*w+f*M*m,u[3]=h*l*m-f*M*w;break;case"xzy":u[0]=f*l*m-h*M*w,u[1]=h*M*m-f*l*w,u[2]=h*l*w+f*M*m,u[3]=h*l*m+f*M*w;break;case"yxz":u[0]=f*l*m+h*M*w,u[1]=h*M*m-f*l*w,u[2]=h*l*w-f*M*m,u[3]=h*l*m+f*M*w;break;case"yzx":u[0]=f*l*m+h*M*w,u[1]=h*M*m+f*l*w,u[2]=h*l*w-f*M*m,u[3]=h*l*m-f*M*w;break;case"zxy":u[0]=f*l*m-h*M*w,u[1]=h*M*m+f*l*w,u[2]=h*l*w+f*M*m,u[3]=h*l*m-f*M*w;break;case"zyx":u[0]=f*l*m-h*M*w,u[1]=h*M*m+f*l*w,u[2]=h*l*w-f*M*m,u[3]=h*l*m+f*M*w;break;default:throw new Error(`Unknown rotation order: ${o}`)}return u},copy:i,clone:f,add:function(t,e,r){const o=r??new n(4);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o[2]=t[2]+e[2],o[3]=t[3]+e[3],o},subtract:M,sub:l,mulScalar:w,scale:m,divScalar:function(t,e,r){const o=r??new n(4);return o[0]=t[0]/e,o[1]=t[1]/e,o[2]=t[2]/e,o[3]=t[3]/e,o},dot:d,lerp:function(t,e,r,o){const c=o??new n(4);return c[0]=t[0]+r*(e[0]-t[0]),c[1]=t[1]+r*(e[1]-t[1]),c[2]=t[2]+r*(e[2]-t[2]),c[3]=t[3]+r*(e[3]-t[3]),c},length:v,len:p,lengthSq:q,lenSq:b,normalize:g,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0]).999999?(u[0]=0,u[1]=0,u[2]=0,u[3]=1,u):(t.cross(e,r,x),u[0]=x[0],u[1]=x[1],u[2]=x[2],u[3]=1+a,g(u,u))},sqlerp:function(t,e,r,o,c,u){const a=u??new n(4);return s(t,o,c,S),s(e,r,c,z),s(S,z,2*c*(1-c),a),a}}}(n),w.set(n,t)),t}const d=new Map;function v(n){let t=d.get(n);return t||(t=function(n){function t(t,e,r,o){const c=new n(4);return void 0!==t&&(c[0]=t,void 0!==e&&(c[1]=e,void 0!==r&&(c[2]=r,void 0!==o&&(c[3]=o)))),c}function e(t,e,r){const o=r??new n(4);return o[0]=t[0]-e[0],o[1]=t[1]-e[1],o[2]=t[2]-e[2],o[3]=t[3]-e[3],o}function r(t,e,r,o){const c=o??new n(4);return c[0]=t[0]+r*(e[0]-t[0]),c[1]=t[1]+r*(e[1]-t[1]),c[2]=t[2]+r*(e[2]-t[2]),c[3]=t[3]+r*(e[3]-t[3]),c}function c(t,e,r){const o=r??new n(4);return o[0]=t[0]*e,o[1]=t[1]*e,o[2]=t[2]*e,o[3]=t[3]*e,o}function u(t,e){const r=e??new n(4);return r[0]=1/t[0],r[1]=1/t[1],r[2]=1/t[2],r[3]=1/t[3],r}function a(n){const t=n[0],e=n[1],r=n[2],o=n[3];return Math.sqrt(t*t+e*e+r*r+o*o)}function s(n){const t=n[0],e=n[1],r=n[2],o=n[3];return t*t+e*e+r*r+o*o}function i(n,t){const e=n[0]-t[0],r=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return Math.sqrt(e*e+r*r+o*o+c*c)}function f(n,t){const e=n[0]-t[0],r=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return e*e+r*r+o*o+c*c}function h(t,e){const r=e??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(r[0]=o/s,r[1]=c/s,r[2]=u/s,r[3]=a/s):(r[0]=0,r[1]=0,r[2]=0,r[3]=0),r}function M(t,e){const r=e??new n(4);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=t[3],r}function l(t,e,r){const o=r??new n(4);return o[0]=t[0]*e[0],o[1]=t[1]*e[1],o[2]=t[2]*e[2],o[3]=t[3]*e[3],o}function w(t,e,r){const o=r??new n(4);return o[0]=t[0]/e[0],o[1]=t[1]/e[1],o[2]=t[2]/e[2],o[3]=t[3]/e[3],o}function m(t,e,r){const o=r??new n(4);return h(t,o),c(o,e,o)}return{create:t,fromValues:t,set:function(t,e,r,o,c){const u=c??new n(4);return u[0]=t,u[1]=e,u[2]=r,u[3]=o,u},ceil:function(t,e){const r=e??new n(4);return r[0]=Math.ceil(t[0]),r[1]=Math.ceil(t[1]),r[2]=Math.ceil(t[2]),r[3]=Math.ceil(t[3]),r},floor:function(t,e){const r=e??new n(4);return r[0]=Math.floor(t[0]),r[1]=Math.floor(t[1]),r[2]=Math.floor(t[2]),r[3]=Math.floor(t[3]),r},round:function(t,e){const r=e??new n(4);return r[0]=Math.round(t[0]),r[1]=Math.round(t[1]),r[2]=Math.round(t[2]),r[3]=Math.round(t[3]),r},clamp:function(t,e=0,r=1,o){const c=o??new n(4);return c[0]=Math.min(r,Math.max(e,t[0])),c[1]=Math.min(r,Math.max(e,t[1])),c[2]=Math.min(r,Math.max(e,t[2])),c[3]=Math.min(r,Math.max(e,t[3])),c},add:function(t,e,r){const o=r??new n(4);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o[2]=t[2]+e[2],o[3]=t[3]+e[3],o},addScaled:function(t,e,r,o){const c=o??new n(4);return c[0]=t[0]+e[0]*r,c[1]=t[1]+e[1]*r,c[2]=t[2]+e[2]*r,c[3]=t[3]+e[3]*r,c},subtract:e,sub:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e?m(t,e,o):M(t,o)},midpoint:function(t,e,o){return r(t,e,.5,o??new n(4))}}}(n),d.set(n,t)),t}function p(n,t,e,r,o,c){return{mat3:i(n),mat4:l(t),quat:m(e),vec2:a(r),vec3:h(o),vec4:v(c)}}const{mat3:q,mat4:b,quat:g,vec2:x,vec3:y,vec4:A}=p(Float32Array,Float32Array,Float32Array,Float32Array,Float32Array,Float32Array),{mat3:S,mat4:z,quat:F,vec2:T,vec3:k,vec4:I}=p(Float64Array,Float64Array,Float64Array,Float64Array,Float64Array,Float64Array),{mat3:P,mat4:V,quat:Z,vec2:L,vec3:R,vec4:E}=p(t,Array,Array,Array,Array,Array);n.mat3=q,n.mat3d=S,n.mat3n=P,n.mat4=b,n.mat4d=z,n.mat4n=V,n.quat=g,n.quatd=F,n.quatn=Z,n.utils=c,n.vec2=x,n.vec2d=T,n.vec2n=L,n.vec3=y,n.vec3d=k,n.vec3n=R,n.vec4=A,n.vec4d=I,n.vec4n=E})); +!function(n,t){"object"==typeof exports&&"undefined"!=typeof module?t(exports):"function"==typeof define&&define.amd?define(["exports"],t):t((n="undefined"!=typeof globalThis?globalThis:n||self).wgpuMatrix={})}(this,(function(n){"use strict";const t=(e=Array,r=n=>n.fill(0),class extends e{constructor(...n){super(...n),r(this)}});var e,r;let o=1e-6;var c={__proto__:null,get EPSILON(){return o},degToRad:function(n){return n*Math.PI/180},euclideanModulo:function(n,t){return(n%t+t)%t},inverseLerp:function(n,t,e){const r=t-n;return Math.abs(t-n)1e-5?(r[0]=o/u,r[1]=c/u):(r[0]=0,r[1]=0),r}function l(t,e){const r=e??new n(2);return r[0]=t[0],r[1]=t[1],r}function w(t,e,r){const o=r??new n(2);return o[0]=t[0]*e[0],o[1]=t[1]*e[1],o}function m(t,e,r){const o=r??new n(2);return o[0]=t[0]/e[0],o[1]=t[1]/e[1],o}function d(t,e,r){const o=r??new n(2);return M(t,o),c(o,e,o)}return{create:t,fromValues:t,set:function(t,e,r){const o=r??new n(2);return o[0]=t,o[1]=e,o},ceil:function(t,e){const r=e??new n(2);return r[0]=Math.ceil(t[0]),r[1]=Math.ceil(t[1]),r},floor:function(t,e){const r=e??new n(2);return r[0]=Math.floor(t[0]),r[1]=Math.floor(t[1]),r},round:function(t,e){const r=e??new n(2);return r[0]=Math.round(t[0]),r[1]=Math.round(t[1]),r},clamp:function(t,e=0,r=1,o){const c=o??new n(2);return c[0]=Math.min(r,Math.max(e,t[0])),c[1]=Math.min(r,Math.max(e,t[1])),c},add:function(t,e,r){const o=r??new n(2);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o},addScaled:function(t,e,r,o){const c=o??new n(2);return c[0]=t[0]+e[0]*r,c[1]=t[1]+e[1]*r,c},angle:function(n,t){const e=n[0],r=n[1],o=t[0],c=t[1],u=Math.sqrt(e*e+r*r)*Math.sqrt(o*o+c*c),s=u&&a(n,t)/u;return Math.acos(s)},subtract:e,sub:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e?d(t,e,o):l(t,o)},midpoint:function(t,e,o){return r(t,e,.5,o??new n(2))}}}(n),u.set(n,t)),t}const s=new Map;function i(n){let t=s.get(n);return t||(t=function(n){function t(t,e,r){const o=new n(3);return void 0!==t&&(o[0]=t,void 0!==e&&(o[1]=e,void 0!==r&&(o[2]=r))),o}function e(t,e,r){const o=r??new n(3);return o[0]=t[0]-e[0],o[1]=t[1]-e[1],o[2]=t[2]-e[2],o}function r(t,e,r,o){const c=o??new n(3);return c[0]=t[0]+r*(e[0]-t[0]),c[1]=t[1]+r*(e[1]-t[1]),c[2]=t[2]+r*(e[2]-t[2]),c}function c(t,e,r){const o=r??new n(3);return o[0]=t[0]*e,o[1]=t[1]*e,o[2]=t[2]*e,o}function u(t,e){const r=e??new n(3);return r[0]=1/t[0],r[1]=1/t[1],r[2]=1/t[2],r}function a(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]}function s(n){const t=n[0],e=n[1],r=n[2];return Math.sqrt(t*t+e*e+r*r)}function i(n){const t=n[0],e=n[1],r=n[2];return t*t+e*e+r*r}function f(n,t){const e=n[0]-t[0],r=n[1]-t[1],o=n[2]-t[2];return Math.sqrt(e*e+r*r+o*o)}function h(n,t){const e=n[0]-t[0],r=n[1]-t[1],o=n[2]-t[2];return e*e+r*r+o*o}function M(t,e){const r=e??new n(3),o=t[0],c=t[1],u=t[2],a=Math.sqrt(o*o+c*c+u*u);return a>1e-5?(r[0]=o/a,r[1]=c/a,r[2]=u/a):(r[0]=0,r[1]=0,r[2]=0),r}function l(t,e){const r=e??new n(3);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r}function w(t,e,r){const o=r??new n(3);return o[0]=t[0]*e[0],o[1]=t[1]*e[1],o[2]=t[2]*e[2],o}function m(t,e,r){const o=r??new n(3);return o[0]=t[0]/e[0],o[1]=t[1]/e[1],o[2]=t[2]/e[2],o}function d(t,e,r){const o=r??new n(3);return M(t,o),c(o,e,o)}return{create:t,fromValues:t,set:function(t,e,r,o){const c=o??new n(3);return c[0]=t,c[1]=e,c[2]=r,c},ceil:function(t,e){const r=e??new n(3);return r[0]=Math.ceil(t[0]),r[1]=Math.ceil(t[1]),r[2]=Math.ceil(t[2]),r},floor:function(t,e){const r=e??new n(3);return r[0]=Math.floor(t[0]),r[1]=Math.floor(t[1]),r[2]=Math.floor(t[2]),r},round:function(t,e){const r=e??new n(3);return r[0]=Math.round(t[0]),r[1]=Math.round(t[1]),r[2]=Math.round(t[2]),r},clamp:function(t,e=0,r=1,o){const c=o??new n(3);return c[0]=Math.min(r,Math.max(e,t[0])),c[1]=Math.min(r,Math.max(e,t[1])),c[2]=Math.min(r,Math.max(e,t[2])),c},add:function(t,e,r){const o=r??new n(3);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o[2]=t[2]+e[2],o},addScaled:function(t,e,r,o){const c=o??new n(3);return c[0]=t[0]+e[0]*r,c[1]=t[1]+e[1]*r,c[2]=t[2]+e[2]*r,c},angle:function(n,t){const e=n[0],r=n[1],o=n[2],c=t[0],u=t[1],s=t[2],i=Math.sqrt(e*e+r*r+o*o)*Math.sqrt(c*c+u*u+s*s),f=i&&a(n,t)/i;return Math.acos(f)},subtract:e,sub:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e?d(t,e,o):l(t,o)},midpoint:function(t,e,o){return r(t,e,.5,o??new n(3))}}}(n),s.set(n,t)),t}const f=new Map;function h(n){let t=f.get(n);return t||(t=function(n){const t=a(n),e=i(n);function r(t,e){const r=e??new n(12);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[4]=t[4],r[5]=t[5],r[6]=t[6],r[8]=t[8],r[9]=t[9],r[10]=t[10],r}function c(t){const e=t??new n(12);return e[0]=1,e[1]=0,e[2]=0,e[4]=0,e[5]=1,e[6]=0,e[8]=0,e[9]=0,e[10]=1,e}function u(t,e){const r=e??new n(12),o=t[0],c=t[1],u=t[2],a=t[4],s=t[5],i=t[6],f=t[8],h=t[9],M=t[10],l=M*s-i*h,w=-M*a+i*f,m=h*a-s*f,d=1/(o*l+c*w+u*m);return r[0]=l*d,r[1]=(-M*c+u*h)*d,r[2]=(i*c-u*s)*d,r[4]=w*d,r[5]=(M*o-u*f)*d,r[6]=(-i*o+u*a)*d,r[8]=m*d,r[9]=(-h*o+c*f)*d,r[10]=(s*o-c*a)*d,r}function s(t,e,r){const o=r??new n(12),c=t[0],u=t[1],a=t[2],s=t[4],i=t[5],f=t[6],h=t[8],M=t[9],l=t[10],w=e[0],m=e[1],d=e[2],v=e[4],p=e[5],q=e[6],b=e[8],g=e[9],x=e[10];return o[0]=c*w+s*m+h*d,o[1]=u*w+i*m+M*d,o[2]=a*w+f*m+l*d,o[4]=c*v+s*p+h*q,o[5]=u*v+i*p+M*q,o[6]=a*v+f*p+l*q,o[8]=c*b+s*g+h*x,o[9]=u*b+i*g+M*x,o[10]=a*b+f*g+l*x,o}return{clone:r,create:function(t,e,r,o,c,u,a,s,i){const f=new n(12);return f[3]=0,f[7]=0,f[11]=0,void 0!==t&&(f[0]=t,void 0!==e&&(f[1]=e,void 0!==r&&(f[2]=r,void 0!==o&&(f[4]=o,void 0!==c&&(f[5]=c,void 0!==u&&(f[6]=u,void 0!==a&&(f[8]=a,void 0!==s&&(f[9]=s,void 0!==i&&(f[10]=i))))))))),f},set:function(t,e,r,o,c,u,a,s,i,f){const h=f??new n(12);return h[0]=t,h[1]=e,h[2]=r,h[3]=0,h[4]=o,h[5]=c,h[6]=u,h[7]=0,h[8]=a,h[9]=s,h[10]=i,h[11]=0,h},fromMat4:function(t,e){const r=e??new n(12);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=0,r[4]=t[4],r[5]=t[5],r[6]=t[6],r[7]=0,r[8]=t[8],r[9]=t[9],r[10]=t[10],r[11]=0,r},fromQuat:function(t,e){const r=e??new n(12),o=t[0],c=t[1],u=t[2],a=t[3],s=o+o,i=c+c,f=u+u,h=o*s,M=c*s,l=c*i,w=u*s,m=u*i,d=u*f,v=a*s,p=a*i,q=a*f;return r[0]=1-l-d,r[1]=M+q,r[2]=w-p,r[3]=0,r[4]=M-q,r[5]=1-h-d,r[6]=m+v,r[7]=0,r[8]=w+p,r[9]=m-v,r[10]=1-h-l,r[11]=0,r},negate:function(t,e){const r=e??new n(12);return r[0]=-t[0],r[1]=-t[1],r[2]=-t[2],r[4]=-t[4],r[5]=-t[5],r[6]=-t[6],r[8]=-t[8],r[9]=-t[9],r[10]=-t[10],r},copy:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])o){const n=Math.acos(v),t=Math.sin(n);h=Math.sin((1-r)*n)/t,M=Math.sin(r*n)/t}else h=1-r,M=r;return u[0]=h*a+M*l,u[1]=h*s+M*w,u[2]=h*i+M*m,u[3]=h*f+M*d,u}function f(t,e){const r=e??new n(4);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=t[3],r}const h=f;function M(t,e,r){const o=r??new n(4);return o[0]=t[0]-e[0],o[1]=t[1]-e[1],o[2]=t[2]-e[2],o[3]=t[3]-e[3],o}const l=M;function w(t,e,r){const o=r??new n(4);return o[0]=t[0]*e,o[1]=t[1]*e,o[2]=t[2]*e,o[3]=t[3]*e,o}const m=w;function d(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]+n[3]*t[3]}function v(n){const t=n[0],e=n[1],r=n[2],o=n[3];return Math.sqrt(t*t+e*e+r*r+o*o)}const p=v;function q(n){const t=n[0],e=n[1],r=n[2],o=n[3];return t*t+e*e+r*r+o*o}const b=q;function g(t,e){const r=e??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(r[0]=o/s,r[1]=c/s,r[2]=u/s,r[3]=a/s):(r[0]=0,r[1]=0,r[2]=0,r[3]=1),r}const x=t.create(),y=t.create(),A=t.create(),S=new n(4),z=new n(4);return{create:e,fromValues:r,set:function(t,e,r,o,c){const u=c??new n(4);return u[0]=t,u[1]=e,u[2]=r,u[3]=o,u},fromAxisAngle:c,toAxisAngle:function(n,e){const r=e??t.create(3),c=2*Math.acos(n[3]),u=Math.sin(.5*c);return u>o?(r[0]=n[0]/u,r[1]=n[1]/u,r[2]=n[2]/u):(r[0]=1,r[1]=0,r[2]=0),{angle:c,axis:r}},angle:function(n,t){const e=d(n,t);return Math.acos(2*e*e-1)},multiply:u,mul:a,rotateX:function(t,e,r){const o=r??new n(4),c=.5*e,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),h=Math.cos(c);return o[0]=u*h+i*f,o[1]=a*h+s*f,o[2]=s*h-a*f,o[3]=i*h-u*f,o},rotateY:function(t,e,r){const o=r??new n(4),c=.5*e,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),h=Math.cos(c);return o[0]=u*h-s*f,o[1]=a*h+i*f,o[2]=s*h+u*f,o[3]=i*h-a*f,o},rotateZ:function(t,e,r){const o=r??new n(4),c=.5*e,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),h=Math.cos(c);return o[0]=u*h+a*f,o[1]=a*h-u*f,o[2]=s*h+i*f,o[3]=i*h-s*f,o},slerp:s,inverse:function(t,e){const r=e??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=o*o+c*c+u*u+a*a,i=s?1/s:0;return r[0]=-o*i,r[1]=-c*i,r[2]=-u*i,r[3]=a*i,r},conjugate:function(t,e){const r=e??new n(4);return r[0]=-t[0],r[1]=-t[1],r[2]=-t[2],r[3]=t[3],r},fromMat:function(t,e){const r=e??new n(4),o=t[0]+t[5]+t[10];if(o>0){const n=Math.sqrt(o+1);r[3]=.5*n;const e=.5/n;r[0]=(t[6]-t[9])*e,r[1]=(t[8]-t[2])*e,r[2]=(t[1]-t[4])*e}else{let n=0;t[5]>t[0]&&(n=1),t[10]>t[4*n+n]&&(n=2);const e=(n+1)%3,o=(n+2)%3,c=Math.sqrt(t[4*n+n]-t[4*e+e]-t[4*o+o]+1);r[n]=.5*c;const u=.5/c;r[3]=(t[4*e+o]-t[4*o+e])*u,r[e]=(t[4*e+n]+t[4*n+e])*u,r[o]=(t[4*o+n]+t[4*n+o])*u}return r},fromEuler:function(t,e,r,o,c){const u=c??new n(4),a=.5*t,s=.5*e,i=.5*r,f=Math.sin(a),h=Math.cos(a),M=Math.sin(s),l=Math.cos(s),w=Math.sin(i),m=Math.cos(i);switch(o){case"xyz":u[0]=f*l*m+h*M*w,u[1]=h*M*m-f*l*w,u[2]=h*l*w+f*M*m,u[3]=h*l*m-f*M*w;break;case"xzy":u[0]=f*l*m-h*M*w,u[1]=h*M*m-f*l*w,u[2]=h*l*w+f*M*m,u[3]=h*l*m+f*M*w;break;case"yxz":u[0]=f*l*m+h*M*w,u[1]=h*M*m-f*l*w,u[2]=h*l*w-f*M*m,u[3]=h*l*m+f*M*w;break;case"yzx":u[0]=f*l*m+h*M*w,u[1]=h*M*m+f*l*w,u[2]=h*l*w-f*M*m,u[3]=h*l*m-f*M*w;break;case"zxy":u[0]=f*l*m-h*M*w,u[1]=h*M*m+f*l*w,u[2]=h*l*w+f*M*m,u[3]=h*l*m-f*M*w;break;case"zyx":u[0]=f*l*m-h*M*w,u[1]=h*M*m+f*l*w,u[2]=h*l*w-f*M*m,u[3]=h*l*m+f*M*w;break;default:throw new Error(`Unknown rotation order: ${o}`)}return u},copy:f,clone:h,add:function(t,e,r){const o=r??new n(4);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o[2]=t[2]+e[2],o[3]=t[3]+e[3],o},subtract:M,sub:l,mulScalar:w,scale:m,divScalar:function(t,e,r){const o=r??new n(4);return o[0]=t[0]/e,o[1]=t[1]/e,o[2]=t[2]/e,o[3]=t[3]/e,o},dot:d,lerp:function(t,e,r,o){const c=o??new n(4);return c[0]=t[0]+r*(e[0]-t[0]),c[1]=t[1]+r*(e[1]-t[1]),c[2]=t[2]+r*(e[2]-t[2]),c[3]=t[3]+r*(e[3]-t[3]),c},length:v,len:p,lengthSq:q,lenSq:b,normalize:g,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0]).999999?(u[0]=0,u[1]=0,u[2]=0,u[3]=1,u):(t.cross(e,r,x),u[0]=x[0],u[1]=x[1],u[2]=x[2],u[3]=1+a,g(u,u))},sqlerp:function(t,e,r,o,c,u){const a=u??new n(4);return s(t,o,c,S),s(e,r,c,z),s(S,z,2*c*(1-c),a),a}}}(n),w.set(n,t)),t}const d=new Map;function v(n){let t=d.get(n);return t||(t=function(n){function t(t,e,r,o){const c=new n(4);return void 0!==t&&(c[0]=t,void 0!==e&&(c[1]=e,void 0!==r&&(c[2]=r,void 0!==o&&(c[3]=o)))),c}function e(t,e,r){const o=r??new n(4);return o[0]=t[0]-e[0],o[1]=t[1]-e[1],o[2]=t[2]-e[2],o[3]=t[3]-e[3],o}function r(t,e,r,o){const c=o??new n(4);return c[0]=t[0]+r*(e[0]-t[0]),c[1]=t[1]+r*(e[1]-t[1]),c[2]=t[2]+r*(e[2]-t[2]),c[3]=t[3]+r*(e[3]-t[3]),c}function c(t,e,r){const o=r??new n(4);return o[0]=t[0]*e,o[1]=t[1]*e,o[2]=t[2]*e,o[3]=t[3]*e,o}function u(t,e){const r=e??new n(4);return r[0]=1/t[0],r[1]=1/t[1],r[2]=1/t[2],r[3]=1/t[3],r}function a(n){const t=n[0],e=n[1],r=n[2],o=n[3];return Math.sqrt(t*t+e*e+r*r+o*o)}function s(n){const t=n[0],e=n[1],r=n[2],o=n[3];return t*t+e*e+r*r+o*o}function i(n,t){const e=n[0]-t[0],r=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return Math.sqrt(e*e+r*r+o*o+c*c)}function f(n,t){const e=n[0]-t[0],r=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return e*e+r*r+o*o+c*c}function h(t,e){const r=e??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(r[0]=o/s,r[1]=c/s,r[2]=u/s,r[3]=a/s):(r[0]=0,r[1]=0,r[2]=0,r[3]=0),r}function M(t,e){const r=e??new n(4);return r[0]=t[0],r[1]=t[1],r[2]=t[2],r[3]=t[3],r}function l(t,e,r){const o=r??new n(4);return o[0]=t[0]*e[0],o[1]=t[1]*e[1],o[2]=t[2]*e[2],o[3]=t[3]*e[3],o}function w(t,e,r){const o=r??new n(4);return o[0]=t[0]/e[0],o[1]=t[1]/e[1],o[2]=t[2]/e[2],o[3]=t[3]/e[3],o}function m(t,e,r){const o=r??new n(4);return h(t,o),c(o,e,o)}return{create:t,fromValues:t,set:function(t,e,r,o,c){const u=c??new n(4);return u[0]=t,u[1]=e,u[2]=r,u[3]=o,u},ceil:function(t,e){const r=e??new n(4);return r[0]=Math.ceil(t[0]),r[1]=Math.ceil(t[1]),r[2]=Math.ceil(t[2]),r[3]=Math.ceil(t[3]),r},floor:function(t,e){const r=e??new n(4);return r[0]=Math.floor(t[0]),r[1]=Math.floor(t[1]),r[2]=Math.floor(t[2]),r[3]=Math.floor(t[3]),r},round:function(t,e){const r=e??new n(4);return r[0]=Math.round(t[0]),r[1]=Math.round(t[1]),r[2]=Math.round(t[2]),r[3]=Math.round(t[3]),r},clamp:function(t,e=0,r=1,o){const c=o??new n(4);return c[0]=Math.min(r,Math.max(e,t[0])),c[1]=Math.min(r,Math.max(e,t[1])),c[2]=Math.min(r,Math.max(e,t[2])),c[3]=Math.min(r,Math.max(e,t[3])),c},add:function(t,e,r){const o=r??new n(4);return o[0]=t[0]+e[0],o[1]=t[1]+e[1],o[2]=t[2]+e[2],o[3]=t[3]+e[3],o},addScaled:function(t,e,r,o){const c=o??new n(4);return c[0]=t[0]+e[0]*r,c[1]=t[1]+e[1]*r,c[2]=t[2]+e[2]*r,c[3]=t[3]+e[3]*r,c},subtract:e,sub:e,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e?m(t,e,o):M(t,o)},midpoint:function(t,e,o){return r(t,e,.5,o??new n(4))}}}(n),d.set(n,t)),t}function p(n,t,e,r,o,c){return{mat3:h(n),mat4:l(t),quat:m(e),vec2:a(r),vec3:i(o),vec4:v(c)}}const{mat3:q,mat4:b,quat:g,vec2:x,vec3:y,vec4:A}=p(Float32Array,Float32Array,Float32Array,Float32Array,Float32Array,Float32Array),{mat3:S,mat4:z,quat:F,vec2:T,vec3:k,vec4:I}=p(Float64Array,Float64Array,Float64Array,Float64Array,Float64Array,Float64Array),{mat3:P,mat4:V,quat:Z,vec2:L,vec3:R,vec4:E}=p(t,Array,Array,Array,Array,Array);n.mat3=q,n.mat3d=S,n.mat3n=P,n.mat4=b,n.mat4d=z,n.mat4n=V,n.quat=g,n.quatd=F,n.quatn=Z,n.utils=c,n.vec2=x,n.vec2d=T,n.vec2n=L,n.vec3=y,n.vec3d=k,n.vec3n=R,n.vec4=A,n.vec4d=I,n.vec4n=E})); //# sourceMappingURL=wgpu-matrix.min.js.map diff --git a/dist/3.x/wgpu-matrix.min.js.map b/dist/3.x/wgpu-matrix.min.js.map index da7490a..be7da57 100644 --- a/dist/3.x/wgpu-matrix.min.js.map +++ b/dist/3.x/wgpu-matrix.min.js.map @@ -1 +1 @@ -{"version":3,"file":"wgpu-matrix.min.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/mat3-impl.ts","../../../src/vec3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["ZeroArray","OriginalConstructor","modifier","a","fill","constructor","args","super","this","EPSILON","degrees","Math","PI","n","m","b","v","d","abs","t","radians","old","cache","Map","getAPI","Ctor","api","get","create","x","y","newDst","undefined","subtract","dst","lerp","mulScalar","k","inverse","dot","length","v0","v1","sqrt","lengthSq","distance","dx","dy","distanceSq","normalize","len","copy","multiply","divide","setLength","fromValues","set","ceil","floor","round","clamp","min","max","add","addScaled","scale","angle","ax","ay","bx","by","mag","cosine","acos","sub","equalsApproximately","utils.EPSILON","equals","lerpV","divScalar","invert","cross","z","lenSq","dist","distSq","negate","clone","mul","div","random","cos","sin","zero","transformMat4","transformMat3","rotate","rad","p0","p1","sinC","cosC","truncate","maxLen","midpoint","getAPIImpl","vec2","getVec2API","identity","m00","m01","m02","m10","m11","m12","m20","m21","m22","b01","b11","b21","invDet","a00","a01","a02","a10","a11","a12","a20","a21","a22","b00","b02","b10","b12","b20","b22","v2","v3","v4","v5","v6","v7","v8","fromMat4","m4","fromQuat","q","w","x2","y2","z2","xx","yx","yy","zx","zy","zz","wx","wy","wz","transpose","determinant","setTranslation","getTranslation","getAxis","axis","off","setAxis","getScaling","xy","translation","translate","rotation","angleInRadians","c","s","scaling","uniformScaling","uniformScale","dz","az","bz","t1","t2","zScale","transformMat4Upper3x3","transformQuat","qx","qy","qz","w2","uvX","uvY","uvZ","xz","yz","rotateX","p","r","rotateY","rotateZ","vec3","getVec3API","m03","m13","m23","m30","m31","m32","m33","tmp0","tmp1","tmp2","tmp3","tmp4","tmp5","tmp6","tmp7","tmp8","tmp9","tmp10","tmp11","tmp12","tmp13","tmp14","tmp15","tmp16","tmp17","tmp18","tmp19","tmp20","tmp21","tmp22","tmp23","t0","t3","a03","a13","a23","a30","a31","a32","a33","b03","b13","b23","b30","b31","b32","b33","xAxis","yAxis","zAxis","axisRotation","oneMinusCosine","axisRotate","r00","r01","r02","r10","r11","r12","r20","r21","r22","v9","v10","v11","v12","v13","v14","v15","fromMat3","m3","perspective","fieldOfViewYInRadians","aspect","zNear","zFar","f","tan","Number","isFinite","rangeInv","perspectiveReverseZ","Infinity","ortho","left","right","bottom","top","near","far","frustum","frustumReverseZ","aim","position","target","up","cameraAim","eye","lookAt","rotationX","rotationY","rotationZ","fromAxisAngle","halfAngle","aw","bw","slerp","scale0","scale1","cosOmega","omega","sinOmega","tempVec3","xUnitVec3","yUnitVec3","tempQuat1","tempQuat2","toAxisAngle","qw","a0","a1","a2","a3","invDot","conjugate","fromMat","trace","root","invRoot","i","j","fromEuler","xAngleInRadians","yAngleInRadians","zAngleInRadians","order","xHalfAngle","yHalfAngle","zHalfAngle","sx","cx","sy","cy","sz","cz","Error","rotationTo","aUnit","bUnit","sqlerp","dw","wgpuMatrixAPI","Mat3Ctor","Mat4Ctor","QuatCtor","Vec2Ctor","Vec3Ctor","Vec4Ctor","mat3","getMat3API","mat4","getMat4API","quat","getQuatAPI","vec4","getVec4API","Float32Array","mat3d","mat4d","quatd","vec2d","vec3d","vec4d","Float64Array","mat3n","mat4n","quatn","vec2n","vec3n","vec4n","Array"],"mappings":"kPAkBO,MAAMA,GAXXC,EAWsC,MAVtCC,EAUsDC,GAAKA,EAAEC,KAAK,GAR3D,cAAcH,EACnB,WAAAI,IAAeC,GACbC,SAASD,GACTJ,EAASM,KACV,IARL,IACEP,EACAC,ECcK,IAAIO,EAAU,4DAkBf,SAAmBC,GACvB,OAAOA,EAAUC,KAAKC,GAAK,GAC7B,kBAqDgB,SAAgBC,EAAWC,GACzC,OAASD,EAAIC,EAAKA,GAAKA,CACzB,uBAxB4BX,EAAWY,EAAWC,GAChD,MAAMC,EAAIF,EAAIZ,EACd,OAAQQ,KAAKO,IAAIH,EAAIZ,GAAKM,EACrBN,GACCa,EAAIb,GAAKc,CACjB,gBAlBqBd,EAAWY,EAAWI,GACzC,OAAOhB,GAAKY,EAAIZ,GAAKgB,CACvB,WAbM,SAAmBC,GACvB,OAAiB,IAAVA,EAAgBT,KAAKC,EAC9B,aAtBM,SAAqBI,GACzB,MAAMK,EAAMZ,EAEZ,OADAA,EAAUO,EACHK,CACT,GCgwBA,MAAMC,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAnwBJ,SAA4DD,GAkB5D,SAASG,EAAOC,EAAI,EAAGC,EAAI,GACzB,MAAMC,EAAS,IAAIN,EAAK,GAOxB,YANUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,IAGTC,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA0CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAgED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAiCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAmCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAOZ,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,EAC/B,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EACjC,CAcD,SAASE,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,CACvB,CAeD,SAASG,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EACjC,CAgBD,SAASC,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,CACvB,CAgBD,SAASE,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,GAUrC,OARIQ,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAwBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAiHD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WAtqBiB3B,EAuqBjB4B,IA5pBF,SAA0C3B,EAAWC,EAAWI,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EAELC,CACR,EAspBC0B,KA9oBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAwoBC2B,MAhoBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA0nBC4B,MAlnBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA4mBC6B,MAlmBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA4lBCgC,IAnlBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6kBCiC,UAnkBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA6jBCmC,MArjBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,GACzBzD,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,GAEhCE,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EA4iBCvC,WACAyC,IAphBUzC,EAqhBV0C,oBA7gBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EA2gBCC,OAngBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACpC,EAkgBCoB,OACA2C,MApeF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EA8dC+B,IAndF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA6cC8B,IAlcF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA4bCK,YACA6B,MApaY7B,EAqaZ2C,UA5ZF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAsZCO,UACA0C,OAhYa1C,EAiYb2C,MAvXF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1ByD,EAAI/E,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKjC,OAJAgB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAKmD,EAELnD,CACR,EAgXCQ,MACAC,SACAU,IArVUV,EAsVVI,WACAuC,MArUYvC,EAsUZC,WACAuC,KAnTWvC,EAoTXG,aACAqC,OAjSarC,EAkSbC,YACAqC,OAnQF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA6PCoB,OACAoC,MArOYpC,EAsOZC,WACAoC,IA5MUpC,EA6MVC,SACAoC,IAnLUpC,EAoLVqC,OA5KF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GAIvC,OAHAmB,EAAO,GAAKpB,KAAKgF,IAAIzB,GAASD,EAC9BlC,EAAO,GAAKpB,KAAKiF,IAAI1B,GAASD,EAEvBlC,CACR,EAqKC8D,KA9JF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EAwJC+D,cA9IF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IACpCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IAE7BiB,CACR,EAqICgE,cA3HF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GACpCiB,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAE7BiB,CACR,EAkHCiE,OAxGF,SAA6C7F,EAAYY,EAAYkF,EAAa/D,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAG1ByE,EAAK/F,EAAE,GAAKY,EAAE,GACdoF,EAAKhG,EAAE,GAAKY,EAAE,GACdqF,EAAOzF,KAAKiF,IAAIK,GAChBI,EAAO1F,KAAKgF,IAAIM,GAMtB,OAHAlE,EAAO,GAAKmE,EAAKG,EAAOF,EAAKC,EAAOrF,EAAE,GACtCgB,EAAO,GAAKmE,EAAKE,EAAOD,EAAKE,EAAOtF,EAAE,GAE/BgB,CACR,EA2FCuB,YACAgD,SAtEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA+DCyE,SAtDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAqDD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC5CA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA9tBJ,SAA4DD,GAC1D,MAAMiF,EAAOC,EAAoBlF,GAiKnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAElDiB,CACR,CAqDD,SAAS6E,EAAsC1E,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,CAuDD,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAERwG,EAAOD,EAAMJ,EAAMC,EAAME,EACzBG,GAAOF,EAAML,EAAME,EAAMC,EACzBK,EAAOJ,EAAMJ,EAAMC,EAAME,EAEzBM,EAAS,GAAKZ,EAAMS,EAAMR,EAAMS,EAAMR,EAAMS,GAYlD,OAVAzF,EAAQ,GAAKuF,EAAMG,EACnB1F,EAAQ,KAAOsF,EAAMP,EAAMC,EAAMK,GAAOK,EACxC1F,EAAQ,IAAOmF,EAAMJ,EAAMC,EAAME,GAAOQ,EACxC1F,EAAQ,GAAKwF,EAAME,EACnB1F,EAAQ,IAAOsF,EAAMR,EAAME,EAAMI,GAAOM,EACxC1F,EAAQ,KAAOmF,EAAML,EAAME,EAAMC,GAAOS,EACxC1F,EAAQ,GAAKyF,EAAMC,EACnB1F,EAAQ,KAAOqF,EAAMP,EAAMC,EAAMK,GAAOM,EACxC1F,EAAO,KAAQkF,EAAMJ,EAAMC,EAAME,GAAOS,EAEjC1F,CACR,CAsCD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BiG,EAAMvH,EAAE,GACRwH,EAAMxH,EAAE,GACRyH,EAAMzH,EAAE,GACR0H,EAAM1H,EAAG,GACT2H,EAAM3H,EAAG,GACT4H,EAAM5H,EAAG,GACT6H,EAAM7H,EAAG,GACT8H,EAAM9H,EAAG,GACT+H,EAAM/H,EAAG,IACTgI,EAAMpH,EAAE,GACRuG,EAAMvG,EAAE,GACRqH,EAAMrH,EAAE,GACRsH,EAAMtH,EAAG,GACTwG,EAAMxG,EAAG,GACTuH,EAAMvH,EAAG,GACTwH,EAAMxH,EAAG,GACTyG,EAAMzG,EAAG,GACTyH,EAAMzH,EAAG,IAYf,OAVAgB,EAAQ,GAAK2F,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAC3CrG,EAAQ,GAAK4F,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAC3CrG,EAAQ,GAAK6F,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAC3CrG,EAAQ,GAAK2F,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAC3CvG,EAAQ,GAAK4F,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAC3CvG,EAAQ,GAAK6F,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAC3CvG,EAAQ,GAAK2F,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAC3CzG,EAAQ,GAAK4F,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAC3CzG,EAAO,IAAM6F,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAEpCzG,CACR,CAkTD,MAAO,CACLwD,MAngBYpC,EAogBZvB,OA7pBF,SACIa,EAAaC,EAAa+F,EAC1BC,EAAaC,EAAaC,EAC1BC,EAAaC,EAAaC,GAC5B,MAAMhH,EAAS,IAAIN,EAAK,IAkCxB,OAhCAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,IAAM,OAEFC,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAPyG,IACF1G,EAAO,GAAK0G,OACDzG,IAAP0G,IACF3G,EAAO,GAAK2G,OACD1G,IAAP2G,IACF5G,EAAO,GAAK4G,OACD3G,IAAP4G,IACF7G,EAAO,GAAK6G,OACD5G,IAAP6G,IACF9G,EAAO,GAAK8G,OACD7G,IAAP8G,IACF/G,EAAO,GAAK+G,OACD9G,IAAP+G,IACFhH,EAAO,IAAMgH,WAWxBhH,CACR,EAunBCyB,IArmBF,SACIf,EAAYC,EAAY+F,EACxBC,EAAYC,EAAYC,EACxBC,EAAYC,EAAYC,EAAY7G,GACtC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAO,GAAKU,EAAKV,EAAO,GAAKW,EAAKX,EAAQ,GAAK0G,EAAK1G,EAAQ,GAAK,EACjEA,EAAO,GAAK2G,EAAK3G,EAAO,GAAK4G,EAAK5G,EAAQ,GAAK6G,EAAK7G,EAAQ,GAAK,EACjEA,EAAO,GAAK8G,EAAK9G,EAAO,GAAK+G,EAAK/G,EAAO,IAAMgH,EAAKhH,EAAO,IAAM,EAE1DA,CACR,EA2lBCiH,SAnlBF,SAA+CC,EAAa/G,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAIhC,OAHAM,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,GAAKkH,EAAG,GAAKlH,EAAQ,GAAKkH,EAAI,GAAKlH,EAAQ,GAAK,EAC3EA,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,GAAKkH,EAAG,GAAKlH,EAAQ,GAAKkH,EAAI,GAAKlH,EAAQ,GAAK,EAC3EA,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,IAAMkH,EAAG,IAAMlH,EAAO,IAAM,EACpEA,CACR,EA8kBCmH,SAtkBF,SAA+CC,EAAYjH,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIsH,EAAE,GAAUrH,EAAIqH,EAAE,GAAUjE,EAAIiE,EAAE,GAAUC,EAAID,EAAE,GACtDE,EAAKxH,EAAIA,EAASyH,EAAKxH,EAAIA,EAASyH,EAAKrE,EAAIA,EAE7CsE,EAAK3H,EAAIwH,EACTI,EAAK3H,EAAIuH,EACTK,EAAK5H,EAAIwH,EACTK,EAAKzE,EAAImE,EACTO,EAAK1E,EAAIoE,EACTO,EAAK3E,EAAIqE,EACTO,EAAKV,EAAIC,EACTU,EAAKX,EAAIE,EACTU,EAAKZ,EAAIG,EAMf,OAJAxH,EAAQ,GAAK,EAAI2H,EAAKG,EAAK9H,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK,EAC9FA,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK,EAAIyH,EAAKK,EAAK9H,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAQ,GAAK,EAC9FA,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAO,IAAM,EAAIyH,EAAKE,EAAK3H,EAAO,IAAM,EAEvFA,CACR,EAkjBCuD,OA1iBF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAErDiB,CACR,EAmiBCoB,OACAwB,oBAlgBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EAyfCC,OAjfF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,GACpB,EAweC6F,WACAqD,UAjdF,SAAgDnJ,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAkBJ,OAZAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEAY,CACR,CAED,MAAM8E,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAMd,OAJAiB,EAAQ,GAAK8E,EAAM9E,EAAQ,GAAKiF,EAAMjF,EAAQ,GAAKoF,EACnDpF,EAAQ,GAAK+E,EAAM/E,EAAQ,GAAKkF,EAAMlF,EAAQ,GAAKqF,EACnDrF,EAAQ,GAAKgF,EAAMhF,EAAQ,GAAKmF,EAAMnF,EAAO,IAAMsF,EAE5CtF,CACR,EA2aCO,UACA0C,OAzWa1C,EA0Wb4H,YAhYF,SAAqBpJ,GACnB,MAAM+F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAEd,OAAO+F,GAAOI,EAAMI,EAAMD,EAAMF,GACzBF,GAAOF,EAAMO,EAAMD,EAAML,GACzBI,GAAOL,EAAMI,EAAMD,EAAMF,EACjC,EAmXCvB,IAxTUpC,EAyTVA,WACA+G,eAhTF,SAAqDhK,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAO0E,IAYvB,OAXIzG,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,IAElB4B,EAAQ,GAAKf,EAAE,GACfe,EAAQ,GAAKf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EAmSCqI,eA1RF,SAAqDtJ,EAAYoB,GAC/D,MAAMH,EAAUG,GAAOwE,EAAK9E,SAG5B,OAFAG,EAAO,GAAKjB,EAAE,GACdiB,EAAO,GAAKjB,EAAE,GACPiB,CACR,EAsRCsI,QA9QF,SAA8CvJ,EAAYwJ,EAAcpI,GACtE,MAAMH,EAAUG,GAAOwE,EAAK9E,SACtB2I,EAAa,EAAPD,EAGZ,OAFAvI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACbxI,CACR,EAyQCyI,QA/PF,SAA8C1J,EAAYE,EAAYsJ,EAAcpI,GAClF,MAAMH,EAAUG,IAAQpB,EAAIA,EAAIqC,EAAKrC,EAAGoB,GAElCqI,EAAa,EAAPD,EAGZ,OAFAvI,EAAOwI,EAAM,GAAKvJ,EAAE,GACpBe,EAAOwI,EAAM,GAAKvJ,EAAE,GACbe,CACR,EAyPC0I,WAlPF,SAAiD3J,EAAYoB,GAC3D,MAAMH,EAAUG,GAAOwE,EAAK9E,SAEtB4H,EAAK1I,EAAE,GACP4J,EAAK5J,EAAE,GACP2I,EAAK3I,EAAE,GACP4I,EAAK5I,EAAE,GAKb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAK6G,EAAKA,EAAKkB,EAAKA,GACrC3I,EAAO,GAAKpB,KAAKgC,KAAK8G,EAAKA,EAAKC,EAAKA,GAE9B3H,CACR,EAuOC4I,YA/NF,SAAkD3J,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAKf,EAAE,GAAKe,EAAO,IAAM,EAE9CA,CACR,EAwNC6I,UA/MF,SAAgD9J,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAEP6F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAed,OAbIA,IAAMiB,IACRA,EAAQ,GAAK8E,EACb9E,EAAQ,GAAK+E,EACb/E,EAAQ,GAAKgF,EACbhF,EAAQ,GAAKiF,EACbjF,EAAQ,GAAKkF,EACblF,EAAQ,GAAKmF,GAGfnF,EAAQ,GAAK8E,EAAMpE,EAAKuE,EAAMtE,EAAKyE,EACnCpF,EAAQ,GAAK+E,EAAMrE,EAAKwE,EAAMvE,EAAK0E,EACnCrF,EAAO,IAAMgF,EAAMtE,EAAKyE,EAAMxE,EAAK2E,EAE5BtF,CACR,EAkLC8I,SA1KF,SAA+CC,EAAwB5I,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAMnB,OAJA/I,EAAQ,GAAMgJ,EAAIhJ,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAChDA,EAAQ,IAAMiJ,EAAIjJ,EAAQ,GAAKgJ,EAAIhJ,EAAQ,GAAK,EAChDA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAEzCA,CACR,EAgKCiE,OAvJF,SAA6ClF,EAAYgK,EAAwB5I,GAC/E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAiBnB,OAfA/I,EAAQ,GAAKgJ,EAAIlE,EAAMmE,EAAIhE,EAC3BjF,EAAQ,GAAKgJ,EAAIjE,EAAMkE,EAAI/D,EAC3BlF,EAAQ,GAAKgJ,EAAIhE,EAAMiE,EAAI9D,EAE3BnF,EAAQ,GAAKgJ,EAAI/D,EAAMgE,EAAInE,EAC3B9E,EAAQ,GAAKgJ,EAAI9D,EAAM+D,EAAIlE,EAC3B/E,EAAQ,GAAKgJ,EAAI7D,EAAM8D,EAAIjE,EAGvBjG,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA4HCkJ,QAjHF,SAA8CjK,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAE9CA,CACR,EA0GCkC,MA9FF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAgBb,OAdAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GAEpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GAEhBA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA0ECmJ,eAlEF,SAAqDF,EAAW9I,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,EA2DCoJ,aAjDF,SAAmDrK,EAAYkK,EAAW9I,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAgBhC,OAdAM,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GAEnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GAEfA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAkCD,CASU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCoPA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA79BJ,SAA4DD,GAS5D,SAASG,EAAOC,EAAYC,EAAYoD,GACtC,MAAMnD,EAAS,IAAIN,EAAK,GAUxB,YATUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,KAIXnD,CACR,CA+JD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA2CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAmED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAkCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAqCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClD,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAC3C,CAcD,SAAS7F,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,CACjC,CAeD,SAAS5F,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,EAC3C,CAgBD,SAASpI,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,CACjC,CAgBD,SAASnI,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,GAa/C,OAXIvF,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK0G,EAAKvF,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAIPA,CACR,CAyBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAuSD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WA73BiB3B,EA83BjB4B,IAl3BF,SAA0C3B,EAAWC,EAAWoD,EAAWhD,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EAELnD,CACR,EA22BC0B,KAn2BF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EA41BC2B,MAp1BF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA60BC4B,MAr0BF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA8zBC6B,MApzBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA6yBCgC,IApyBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6xBCiC,UAnxBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA4wBCmC,MApwBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkL,EAAKlL,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACPuK,EAAKvK,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,EAAKiH,EAAKA,GACnC1K,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,EAAKgH,EAAKA,GAE1C9G,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EAyvBCvC,WACAyC,IAhuBUzC,EAiuBV0C,oBAztBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAstBCC,OA9sBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACrD,EA6sBCoB,OACA2C,MA9qBF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAuqBC+B,IA5pBF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAqpBC8B,IA1oBF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAmoBCK,YACA6B,MA1mBY7B,EA2mBZ2C,UAlmBF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EA2lBCO,UACA0C,OApkBa1C,EAqkBb2C,MA3jBF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B8J,EAAKpL,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAC5ByK,EAAKrL,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKlC,OAJAgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GACnCgB,EAAO,GAAKwJ,EACZxJ,EAAO,GAAKyJ,EAELzJ,CACR,EAkjBCQ,MACAC,SACAU,IAthBUV,EAuhBVI,WACAuC,MArgBYvC,EAsgBZC,WACAuC,KAlfWvC,EAmfXG,aACAqC,OA/darC,EAgebC,YACAqC,OA7bF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EAsbCoB,OACAoC,MA7ZYpC,EA8ZZC,WACAoC,IAnYUpC,EAoYVC,SACAoC,IAzWUpC,EA0WVqC,OAlWF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GACjCsE,EAAoB,EAAhBvE,KAAK+E,SAAe,EACxB+F,EAAS9K,KAAKgC,KAAK,EAAIuC,EAAIA,GAAKjB,EAKtC,OAJAlC,EAAO,GAAKpB,KAAKgF,IAAIzB,GAASuH,EAC9B1J,EAAO,GAAKpB,KAAKiF,IAAI1B,GAASuH,EAC9B1J,EAAO,GAAKmD,EAAIjB,EAETlC,CACR,EAwVC8D,KAjVF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA0UC+D,cAhUF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNoI,EAAKtI,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAQ,EAMvD,OAJAiB,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOsI,EACvDrH,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOsI,EACvDrH,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAOsI,EAEjDrH,CACR,EAoTC2J,sBA3SF,SAA4D1K,EAAYF,EAAYoB,GAClF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GAMb,OAJAe,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa2H,EAAK3H,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa2H,EAAK3H,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa2H,EAAK3H,EAAE,IAEpDiB,CACR,EAgSCgE,cAtRF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAMZ,OAJAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,IAEjCiB,CACR,EA2QC4J,cAlQF,SAAoD3K,EAAYmI,EAAYjH,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BmK,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP4C,EAAY,EAAP5C,EAAE,GAEPtH,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAENgL,EAAMH,EAAK3G,EAAI4G,EAAKhK,EACpBmK,EAAMH,EAAKjK,EAAI+J,EAAK1G,EACpBgH,EAAMN,EAAK9J,EAAI+J,EAAKhK,EAM1B,OAJAE,EAAO,GAAKF,EAAImK,EAAMD,EAA6B,GAAvBF,EAAKK,EAAMJ,EAAKG,GAC5ClK,EAAO,GAAKD,EAAImK,EAAMF,EAA6B,GAAvBD,EAAKE,EAAMJ,EAAKM,GAC5CnK,EAAO,GAAKmD,EAAIgH,EAAMH,EAA6B,GAAvBH,EAAKK,EAAMJ,EAAKG,GAErCjK,CACR,EA8OCqI,eArOF,SAAqDtJ,EAAYoB,GAC7D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAIhC,OAHAM,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACV,EAgOCsI,QAzNF,SAA8CvJ,EAAYwJ,EAAcpI,GACpE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B8I,EAAa,EAAPD,EAIZ,OAHAvI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACbxI,CACV,EAmNC0I,WA7MF,SAAiD3J,EAAYoB,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B+H,EAAK1I,EAAE,GACP4J,EAAK5J,EAAE,GACPqL,EAAKrL,EAAE,GACP2I,EAAK3I,EAAE,GACP4I,EAAK5I,EAAE,GACPsL,EAAKtL,EAAE,GACP6I,EAAK7I,EAAE,GACP8I,EAAK9I,EAAE,GACP+I,EAAK/I,EAAE,IAIb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAK6G,EAAKA,EAAKkB,EAAKA,EAAKyB,EAAKA,GAC/CpK,EAAO,GAAKpB,KAAKgC,KAAK8G,EAAKA,EAAKC,EAAKA,EAAK0C,EAAKA,GAC/CrK,EAAO,GAAKpB,KAAKgC,KAAKgH,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GACxC9H,CACV,EA+LCsK,QApLF,SAA8ClM,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B6K,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAGhBwL,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAK3L,KAAKgF,IAAIM,GAAOqG,EAAE,GAAK3L,KAAKiF,IAAIK,GAC9CsG,EAAE,GAAKD,EAAE,GAAK3L,KAAKiF,IAAIK,GAAOqG,EAAE,GAAK3L,KAAKgF,IAAIM,GAG9ClE,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GAEdgB,CACR,EAgKCyK,QArJF,SAA8CrM,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B6K,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAGhBwL,EAAE,GAAKD,EAAE,GAAK3L,KAAKiF,IAAIK,GAAOqG,EAAE,GAAK3L,KAAKgF,IAAIM,GAC9CsG,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAK3L,KAAKgF,IAAIM,GAAOqG,EAAE,GAAK3L,KAAKiF,IAAIK,GAG9ClE,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GAEdgB,CACR,EAiIC0K,QAtHF,SAA8CtM,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B6K,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAGhBwL,EAAE,GAAKD,EAAE,GAAK3L,KAAKgF,IAAIM,GAAOqG,EAAE,GAAK3L,KAAKiF,IAAIK,GAC9CsG,EAAE,GAAKD,EAAE,GAAK3L,KAAKiF,IAAIK,GAAOqG,EAAE,GAAK3L,KAAKgF,IAAIM,GAC9CsG,EAAE,GAAKD,EAAE,GAGTvK,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GAEdgB,CACR,EAkGCuB,YACAgD,SA7EF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EAsECyE,SA7DF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EA6DD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC6lBA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAvlDJ,SAA4DD,GAC1D,MAAMiL,EAAOC,EAAoBlL,GAgOnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAC9EiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAEvEiB,CACR,CASD,MAAMwD,EAAQpC,EA0Dd,SAASyD,EAAsC1E,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,CAsED,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAQ9F,EAAM6F,EACdE,EAAQH,EAAMH,EACdO,EAAQnG,EAAMgG,EACdI,EAAQL,EAAMJ,EACdU,EAAQrG,EAAM4F,EACdU,EAAQnG,EAAMwF,EACdY,EAAQ1G,EAAMmG,EACdQ,EAAQT,EAAML,EACde,EAAQ5G,EAAM+F,EACdc,EAAQvG,EAAMuF,EACdiB,EAAQ9G,EAAM8F,EACdiB,EAAQ5G,EAAM0F,EACdmB,EAAQ5G,EAAM6F,EACdgB,EAAQjB,EAAM3F,EACd6G,EAAQjH,EAAMgG,EACdkB,EAAQnB,EAAM9F,EACdkH,EAAQnH,EAAMI,EACdgH,EAAQjH,EAAMF,EACdoH,EAAQxH,EAAMmG,EACdsB,EAAQvB,EAAMjG,EACdyH,EAAQ1H,EAAMO,EACdoH,EAAQrH,EAAML,EACd2H,EAAQ5H,EAAMI,EACdyH,EAAQ1H,EAAMF,EAEd6H,EAAMxB,EAAOlG,EAAMqG,EAAOlG,EAAMmG,EAAOP,GACxCI,EAAOnG,EAAMoG,EAAOjG,EAAMoG,EAAOR,GAChCzB,EAAM6B,EAAOtG,EAAM2G,EAAOrG,EAAMwG,EAAOZ,GACxCG,EAAOrG,EAAM4G,EAAOtG,EAAMuG,EAAOX,GAChCxB,EAAM6B,EAAOvG,EAAM4G,EAAOzG,EAAM4G,EAAQb,GACzCM,EAAOxG,EAAM2G,EAAOxG,EAAM6G,EAAQd,GACjC4B,EAAMpB,EAAO1G,EAAM6G,EAAO1G,EAAM6G,EAAQ1G,GACzCmG,EAAOzG,EAAM8G,EAAO3G,EAAM4G,EAAQzG,GAEjCnG,EAAI,GAAK4F,EAAM8H,EAAK3H,EAAMuE,EAAKpE,EAAMqE,EAAKuB,EAAM6B,GA+BtD,OA7BA7M,EAAQ,GAAKd,EAAI0N,EACjB5M,EAAQ,GAAKd,EAAIsK,EACjBxJ,EAAQ,GAAKd,EAAIuK,EACjBzJ,EAAQ,GAAKd,EAAI2N,EACjB7M,EAAQ,GAAKd,GAAMmM,EAAOpG,EAAMqG,EAAOlG,EAAMqG,EAAOT,GAC3CI,EAAOnG,EAAMsG,EAAOnG,EAAMoG,EAAOR,IAC1ChL,EAAQ,GAAKd,GAAMkM,EAAOtG,EAAM6G,EAAOvG,EAAMwG,EAAOZ,GAC3CK,EAAOvG,EAAM4G,EAAOtG,EAAMyG,EAAOb,IAC1ChL,EAAQ,GAAKd,GAAMqM,EAAOzG,EAAM4G,EAAOzG,EAAM8G,EAAQf,GAC5CM,EAAOxG,EAAM6G,EAAO1G,EAAM6G,EAAQd,IAC3ChL,EAAQ,GAAKd,GAAMsM,EAAO1G,EAAM+G,EAAO5G,EAAM6G,EAAQ1G,GAC5CqG,EAAO3G,EAAM8G,EAAO3G,EAAM8G,EAAQ3G,IAC3CpF,EAAQ,GAAKd,GAAM8M,EAAQlB,EAAMqB,EAAQpB,EAAMqB,EAAQjB,GAC9Cc,EAAQnB,EAAMoB,EAAQnB,EAAMsB,EAAQlB,IAC7CnL,EAAQ,GAAKd,GAAM+M,EAAQpB,EAAMyB,EAAQvB,EAAM0B,EAAQtB,GAC9Ca,EAAQnB,EAAM0B,EAAQxB,EAAMyB,EAAQrB,IAC7CnL,EAAO,IAAMd,GAAMgN,EAAQrB,EAAM0B,EAAQzB,EAAM4B,EAAQvB,GAC9CgB,EAAQtB,EAAMyB,EAAQxB,EAAM6B,EAAQxB,IAC7CnL,EAAO,IAAMd,GAAMmN,EAAQxB,EAAM2B,EAAQ1B,EAAM6B,EAAQ5B,GAC9CqB,EAAQvB,EAAM4B,EAAQ3B,EAAM4B,EAAQ3B,IAC7C/K,EAAO,IAAMd,GAAMgN,EAAQ5G,EAAM+G,EAAQnB,EAAMe,EAAQ9G,GAC9CiH,EAAQlB,EAAMc,EAAQ7G,EAAMgH,EAAQ7G,IAC7CtF,EAAO,IAAMd,GAAMsN,EAAQtB,EAAMc,EAAQhH,EAAMuH,EAAQjH,GAC9CgH,EAAQhH,EAAMmH,EAAQvB,EAAMe,EAAQjH,IAC7ChF,EAAO,IAAMd,GAAMoN,EAAQnH,EAAMwH,EAAQzB,EAAMiB,EAAQnH,GAC9C0H,EAAQxB,EAAMgB,EAAQlH,EAAMuH,EAAQpH,IAC7CnF,EAAO,IAAMd,GAAMwN,EAAQpH,EAAM8G,EAAQpH,EAAMyH,EAAQtH,GAC9CqH,EAAQrH,EAAMwH,EAAQrH,EAAM+G,EAAQrH,IAEtChF,CACR,CAwDD,MAAMiD,EAAS1C,EASf,SAASc,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BiG,EAAMvH,EAAE,GACRwH,EAAMxH,EAAE,GACRyH,EAAMzH,EAAE,GACR0O,EAAM1O,EAAE,GACR0H,EAAM1H,EAAG,GACT2H,EAAM3H,EAAG,GACT4H,EAAM5H,EAAG,GACT2O,EAAM3O,EAAG,GACT6H,EAAM7H,EAAG,GACT8H,EAAM9H,EAAG,GACT+H,EAAM/H,EAAG,IACT4O,EAAM5O,EAAG,IACT6O,EAAM7O,EAAE,IACR8O,EAAM9O,EAAE,IACR+O,EAAM/O,EAAE,IACRgP,EAAMhP,EAAE,IACRgI,EAAMpH,EAAE,GACRuG,EAAMvG,EAAE,GACRqH,EAAMrH,EAAE,GACRqO,EAAMrO,EAAE,GACRsH,EAAMtH,EAAG,GACTwG,EAAMxG,EAAG,GACTuH,EAAMvH,EAAG,GACTsO,EAAMtO,EAAG,GACTwH,EAAMxH,EAAG,GACTyG,EAAMzG,EAAG,GACTyH,EAAMzH,EAAG,IACTuO,EAAMvO,EAAG,IACTwO,EAAMxO,EAAE,IACRyO,EAAMzO,EAAE,IACR0O,EAAM1O,EAAE,IACR2O,EAAM3O,EAAE,IAmBd,OAjBAgB,EAAQ,GAAK2F,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAAM4G,EAAMI,EACvDrN,EAAQ,GAAK4F,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAAM6G,EAAMG,EACvDrN,EAAQ,GAAK6F,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAAM8G,EAAME,EACvDrN,EAAQ,GAAK8M,EAAM1G,EAAM2G,EAAMxH,EAAMyH,EAAM3G,EAAM+G,EAAMC,EACvDrN,EAAQ,GAAK2F,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAAM0G,EAAMK,EACvDtN,EAAQ,GAAK4F,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAAM2G,EAAMI,EACvDtN,EAAQ,GAAK6F,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAAM4G,EAAMG,EACvDtN,EAAQ,GAAK8M,EAAMxG,EAAMyG,EAAMvH,EAAMwH,EAAMzG,EAAM6G,EAAME,EACvDtN,EAAQ,GAAK2F,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAAMwG,EAAMM,EACvDvN,EAAQ,GAAK4F,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAAMyG,EAAMK,EACvDvN,EAAO,IAAM6F,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAAM0G,EAAMI,EACvDvN,EAAO,IAAM8M,EAAMtG,EAAMuG,EAAMtH,EAAMuH,EAAMvG,EAAM2G,EAAMG,EACvDvN,EAAO,IAAM2F,EAAM6H,EAAM1H,EAAM2H,EAAMxH,EAAMyH,EAAMT,EAAMU,EACvD3N,EAAO,IAAM4F,EAAM4H,EAAMzH,EAAM0H,EAAMvH,EAAMwH,EAAMR,EAAMS,EACvD3N,EAAO,IAAM6F,EAAM2H,EAAMxH,EAAMyH,EAAMtH,EAAMuH,EAAMP,EAAMQ,EACvD3N,EAAO,IAAM8M,EAAMU,EAAMT,EAAMU,EAAMT,EAAMU,EAAMN,EAAMO,EAEhD3N,CACR,CASD,MAAMyD,EAAMpC,EAsWNuM,EAAQjD,EAAK9K,SACbgO,EAAQlD,EAAK9K,SACbiO,EAAQnD,EAAK9K,SAgXnB,SAASkO,EAA0CxF,EAAeQ,EAAwB5I,GACxF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIyI,EAAK,GACTxI,EAAIwI,EAAK,GACTpF,EAAIoF,EAAK,GACb,MAAMzJ,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAM2I,EAAK3H,EAAIA,EACT6H,EAAK5H,EAAIA,EACT+H,EAAK3E,EAAIA,EACT6F,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GACbiF,EAAiB,EAAIhF,EAmB3B,OAjBAhJ,EAAQ,GAAKyH,GAAM,EAAIA,GAAMuB,EAC7BhJ,EAAQ,GAAKF,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EAC1CjJ,EAAQ,GAAKF,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EAC1CjJ,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EAC1CjJ,EAAQ,GAAK2H,GAAM,EAAIA,GAAMqB,EAC7BhJ,EAAQ,GAAKD,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EAC1CjJ,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EAC1CjJ,EAAQ,GAAKD,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EAC1CjJ,EAAO,IAAM8H,GAAM,EAAIA,GAAMkB,EAC7BhJ,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAENA,CACR,CAwBD,SAASiO,EAAwClP,EAAYwJ,EAAeQ,EAAwB5I,GAClG,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIyI,EAAK,GACTxI,EAAIwI,EAAK,GACTpF,EAAIoF,EAAK,GACb,MAAMzJ,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAM2I,EAAK3H,EAAIA,EACT6H,EAAK5H,EAAIA,EACT+H,EAAK3E,EAAIA,EACT6F,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GACbiF,EAAiB,EAAIhF,EAErBkF,EAAMzG,GAAM,EAAIA,GAAMuB,EACtBmF,EAAMrO,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EACnCmF,EAAMtO,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EACnCoF,EAAMvO,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EACnCqF,EAAM3G,GAAM,EAAIA,GAAMqB,EACtBuF,EAAMxO,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EACnCuF,EAAM1O,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EACnCwF,EAAM1O,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EACnCyF,EAAM5G,GAAM,EAAIA,GAAMkB,EAEtBlE,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IAsBd,OApBAiB,EAAQ,GAAKkO,EAAMpJ,EAAMqJ,EAAMlJ,EAAMmJ,EAAMhJ,EAC3CpF,EAAQ,GAAKkO,EAAMnJ,EAAMoJ,EAAMjJ,EAAMkJ,EAAM/I,EAC3CrF,EAAQ,GAAKkO,EAAMlJ,EAAMmJ,EAAMhJ,EAAMiJ,EAAM9I,EAC3CtF,EAAQ,GAAKkO,EAAMrD,EAAMsD,EAAMrD,EAAMsD,EAAMrD,EAC3C/K,EAAQ,GAAKqO,EAAMvJ,EAAMwJ,EAAMrJ,EAAMsJ,EAAMnJ,EAC3CpF,EAAQ,GAAKqO,EAAMtJ,EAAMuJ,EAAMpJ,EAAMqJ,EAAMlJ,EAC3CrF,EAAQ,GAAKqO,EAAMrJ,EAAMsJ,EAAMnJ,EAAMoJ,EAAMjJ,EAC3CtF,EAAQ,GAAKqO,EAAMxD,EAAMyD,EAAMxD,EAAMyD,EAAMxD,EAC3C/K,EAAQ,GAAKwO,EAAM1J,EAAM2J,EAAMxJ,EAAMyJ,EAAMtJ,EAC3CpF,EAAQ,GAAKwO,EAAMzJ,EAAM0J,EAAMvJ,EAAMwJ,EAAMrJ,EAC3CrF,EAAO,IAAMwO,EAAMxJ,EAAMyJ,EAAMtJ,EAAMuJ,EAAMpJ,EAC3CtF,EAAO,IAAMwO,EAAM3D,EAAM4D,EAAM3D,EAAM4D,EAAM3D,EAEvChM,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,CA4HD,MAAO,CACLH,OAp+CF,SACIa,EAAaC,EAAa+F,EAAaC,EACvCC,EAAaC,EAAaC,EAAaC,EACvCC,EAAa2H,EAAaC,EAAcC,EACxCC,EAAcC,EAAcC,EAAcC,GAC5C,MAAMjP,EAAS,IAAIN,EAAK,IAiDxB,YAhDWO,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAPyG,IACF1G,EAAO,GAAK0G,OACDzG,IAAP0G,IACF3G,EAAO,GAAK2G,OACD1G,IAAP2G,IACF5G,EAAO,GAAK4G,OACD3G,IAAP4G,IACF7G,EAAO,GAAK6G,OACD5G,IAAP6G,IACF9G,EAAO,GAAK8G,OACD7G,IAAP8G,IACF/G,EAAO,GAAK+G,OACD9G,IAAP+G,IACFhH,EAAO,GAAKgH,OACD/G,IAAP0O,IACF3O,EAAO,GAAK2O,OACA1O,IAAR2O,IACF5O,EAAO,IAAM4O,OACD3O,IAAR4O,IACF7O,EAAO,IAAM6O,OACD5O,IAAR6O,IACF9O,EAAO,IAAM8O,OACD7O,IAAR8O,IACF/O,EAAO,IAAM+O,OACD9O,IAAR+O,IACFhP,EAAO,IAAMgP,OACD/O,IAARgP,IACFjP,EAAO,IAAMiP,kBAiBtCjP,CACR,EA86CCyB,IAr5CF,SACIf,EAAYC,EAAY+F,EAAYC,EACpCC,EAAYC,EAAYC,EAAYC,EACpCC,EAAY2H,EAAYC,EAAaC,EACrCC,EAAaC,EAAaC,EAAaC,EACvC9O,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKU,EAAMV,EAAQ,GAAKW,EAAMX,EAAQ,GAAK0G,EAAM1G,EAAQ,GAAK2G,EACtE3G,EAAQ,GAAK4G,EAAM5G,EAAQ,GAAK6G,EAAM7G,EAAQ,GAAK8G,EAAM9G,EAAQ,GAAK+G,EACtE/G,EAAQ,GAAKgH,EAAMhH,EAAQ,GAAK2O,EAAM3O,EAAO,IAAM4O,EAAM5O,EAAO,IAAM6O,EACtE7O,EAAO,IAAM8O,EAAM9O,EAAO,IAAM+O,EAAM/O,EAAO,IAAMgP,EAAMhP,EAAO,IAAMiP,EAE/DjP,CACR,EAw4CCkP,SAh4CF,SAA+CC,EAAahP,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAI,GAAKnP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAI,GAAKnP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAG,GAAKnP,EAAO,IAAMmP,EAAG,IAAMnP,EAAO,IAAM,EAC7EA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAASA,EAAO,IAAM,EAEtEA,CACR,EAw3CCmH,SAh3CF,SAA+CC,EAAYjH,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIsH,EAAE,GAAUrH,EAAIqH,EAAE,GAAUjE,EAAIiE,EAAE,GAAUC,EAAID,EAAE,GACtDE,EAAKxH,EAAIA,EAASyH,EAAKxH,EAAIA,EAASyH,EAAKrE,EAAIA,EAE7CsE,EAAK3H,EAAIwH,EACTI,EAAK3H,EAAIuH,EACTK,EAAK5H,EAAIwH,EACTK,EAAKzE,EAAImE,EACTO,EAAK1E,EAAIoE,EACTO,EAAK3E,EAAIqE,EACTO,EAAKV,EAAIC,EACTU,EAAKX,EAAIE,EACTU,EAAKZ,EAAIG,EAOf,OALAxH,EAAQ,GAAK,EAAI2H,EAAKG,EAAK9H,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK,EAC9FA,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK,EAAIyH,EAAKK,EAAK9H,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAQ,GAAK,EAC9FA,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAO,IAAM,EAAIyH,EAAKE,EAAK3H,EAAO,IAAM,EAC9FA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAEvFA,CACR,EA21CCuD,OAn1CF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAClFiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAE3EiB,CACR,EA20CCoB,OACAoC,QACAZ,oBA1yCF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EA0xCCC,OAlxCF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,GACpB,EAkwCC6F,WACAqD,UA1uCF,SAAgDnJ,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAyBJ,OAvBAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,IACNA,EAAE,IAAMA,EAAE,IACVA,EAAE,IAAMK,EACDY,CACR,CAED,MAAM8E,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IAOd,OALAiB,EAAQ,GAAK8E,EAAM9E,EAAQ,GAAKiF,EAAMjF,EAAQ,GAAKoF,EAAMpF,EAAQ,GAAKgL,EACtEhL,EAAQ,GAAK+E,EAAM/E,EAAQ,GAAKkF,EAAMlF,EAAQ,GAAKqF,EAAMrF,EAAQ,GAAKiL,EACtEjL,EAAQ,GAAKgF,EAAMhF,EAAQ,GAAKmF,EAAMnF,EAAO,IAAMsF,EAAMtF,EAAO,IAAMkL,EACtElL,EAAO,IAAM6K,EAAM7K,EAAO,IAAM8K,EAAM9K,EAAO,IAAM+K,EAAM/K,EAAO,IAAMmL,EAE/DnL,CACR,EAqrCCO,UACA4H,YAllCF,SAAqBpJ,GACnB,MAAM+F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IAERqM,EAAQ9F,EAAM6F,EACdE,EAAQH,EAAMH,EACdO,EAAQnG,EAAMgG,EACdI,EAAQL,EAAMJ,EACdU,EAAQrG,EAAM4F,EACdU,EAAQnG,EAAMwF,EACdY,EAAQ1G,EAAMmG,EACdQ,EAAQT,EAAML,EACde,EAAQ5G,EAAM+F,EACdc,EAAQvG,EAAMuF,EACdiB,EAAQ9G,EAAM8F,EACdiB,EAAQ5G,EAAM0F,EAWpB,OAAO/F,GATKsG,EAAOlG,EAAMqG,EAAOlG,EAAMmG,EAAOP,GACjCI,EAAOnG,EAAMoG,EAAOjG,EAAMoG,EAAOR,IAQ3BhG,GAPNoG,EAAOtG,EAAM2G,EAAOrG,EAAMwG,EAAOZ,GACjCG,EAAOrG,EAAM4G,EAAOtG,EAAMuG,EAAOX,IAMhB7F,GALjBkG,EAAOvG,EAAM4G,EAAOzG,EAAM4G,EAAQb,GAClCM,EAAOxG,EAAM2G,EAAOxG,EAAM6G,EAAQd,IAIND,GAH5BS,EAAO1G,EAAM6G,EAAO1G,EAAM6G,EAAQ1G,GAClCmG,EAAOzG,EAAM8G,EAAO3G,EAAM4G,EAAQzG,GAG/C,EA0iCCpC,SACA5B,WACAoC,MACA2E,eAn9BF,SAAqDhK,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAO0E,IAmBvB,OAlBIzG,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAO,IAAM5B,EAAE,IACf4B,EAAO,IAAM5B,EAAE,KAEjB4B,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EA+7BCqI,eAt7BF,SAAqDtJ,EAAYoB,GAC/D,MAAMH,EAAUG,GAAOwK,EAAK9K,SAI5B,OAHAG,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACR,EAi7BCsI,QAz6BF,SAA8CvJ,EAAYwJ,EAAcpI,GACtE,MAAMH,EAAUG,GAAOwK,EAAK9K,SACtB2I,EAAa,EAAPD,EAIZ,OAHAvI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACbxI,CACR,EAm6BCyI,QAz5BF,SAA8C1J,EAAYE,EAAYsJ,EAAcpI,GAClF,MAAMH,EAAUG,IAAQpB,EAAKoB,EAAMiB,EAAKrC,EAAGoB,GAErCqI,EAAa,EAAPD,EAIZ,OAHAvI,EAAOwI,EAAM,GAAKvJ,EAAE,GACpBe,EAAOwI,EAAM,GAAKvJ,EAAE,GACpBe,EAAOwI,EAAM,GAAKvJ,EAAE,GACbe,CACR,EAk5BC0I,WA34BF,SAAiD3J,EAAYoB,GAC3D,MAAMH,EAAUG,GAAOwK,EAAK9K,SAEtB4H,EAAK1I,EAAE,GACP4J,EAAK5J,EAAE,GACPqL,EAAKrL,EAAE,GACP2I,EAAK3I,EAAE,GACP4I,EAAK5I,EAAE,GACPsL,EAAKtL,EAAE,GACP6I,EAAK7I,EAAE,GACP8I,EAAK9I,EAAE,GACP+I,EAAK/I,EAAE,IAMb,OAJAiB,EAAO,GAAKpB,KAAKgC,KAAK6G,EAAKA,EAAKkB,EAAKA,EAAKyB,EAAKA,GAC/CpK,EAAO,GAAKpB,KAAKgC,KAAK8G,EAAKA,EAAKC,EAAKA,EAAK0C,EAAKA,GAC/CrK,EAAO,GAAKpB,KAAKgC,KAAKgH,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAExC9H,CACR,EA03BCoP,YA/1BF,SAAkDC,EAA+BC,EAAgBC,EAAeC,EAAcrP,GAC5H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+P,EAAI7Q,KAAK8Q,IAAc,GAAV9Q,KAAKC,GAAW,GAAMwQ,GAoBzC,GAlBArP,EAAO,GAAMyP,EAAIH,EACjBtP,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAMyP,EACbzP,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAET2P,OAAOC,SAASJ,GAAO,CACzB,MAAMK,EAAW,GAAKN,EAAQC,GAC9BxP,EAAO,IAAMwP,EAAOK,EACpB7P,EAAO,IAAMwP,EAAOD,EAAQM,CAC7B,MACC7P,EAAO,KAAO,EACdA,EAAO,KAAOuP,EAGhB,OAAOvP,CACR,EA+zBC8P,oBAzyBC,SAA0DT,EAA+BC,EAAgBC,EAAeC,EAAOO,IAAU5P,GAC1I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+P,EAAI,EAAI7Q,KAAK8Q,IAA4B,GAAxBL,GAoBvB,GAlBArP,EAAQ,GAAKyP,EAAIH,EACjBtP,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAKyP,EACbzP,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETwP,IAASO,IACX/P,EAAO,IAAM,EACbA,EAAO,IAAMuP,MACR,CACL,MAAMM,EAAW,GAAKL,EAAOD,GAC7BvP,EAAO,IAAMuP,EAAQM,EACrB7P,EAAO,IAAMwP,EAAOD,EAAQM,CAC7B,CAED,OAAO7P,CACR,EAywBCgQ,MAxvBF,SAA4CC,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAanQ,GAC/H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAO,GAAM,GAAKkQ,EAAQD,GAC1BjQ,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,GAAKoQ,EAAMD,GACxBnQ,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,IAAM,GAAKqQ,EAAOC,GACzBtQ,EAAO,IAAM,EAEbA,EAAO,KAAOkQ,EAAQD,IAASA,EAAOC,GACtClQ,EAAO,KAAOoQ,EAAMD,IAAWA,EAASC,GACxCpQ,EAAO,IAAMqQ,GAAQA,EAAOC,GAC5BtQ,EAAO,IAAM,EAENA,CACR,EAiuBCuQ,QA7sBF,SAA8CN,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAanQ,GACjI,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMmP,EAAQD,EACdjP,EAAMoP,EAAMD,EACZ9G,EAAMgH,EAAOC,EAmBnB,OAjBAtQ,EAAQ,GAAK,EAAIqQ,EAAOtP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIqQ,EAAOrP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMiQ,EAAOC,GAASnP,EAC9Bf,EAAQ,IAAMoQ,EAAMD,GAAUnP,EAC9BhB,EAAO,IAAMsQ,EAAMjH,EACnBrJ,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAMqQ,EAAOC,EAAMjH,EAC1BrJ,EAAO,IAAM,EAENA,CACR,EAqrBCwQ,gBAjqBF,SAAsDP,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAMP,IAAU5P,GAC5I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMmP,EAAQD,EACdjP,EAAMoP,EAAMD,EAiBlB,GAfAnQ,EAAQ,GAAK,EAAIqQ,EAAOtP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIqQ,EAAOrP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMiQ,EAAOC,GAASnP,EAC9Bf,EAAQ,IAAMoQ,EAAMD,GAAUnP,EAC9BhB,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETsQ,IAAQP,IACV/P,EAAO,IAAM,EACbA,EAAO,IAAMqQ,MACR,CACL,MAAMR,EAAW,GAAKS,EAAMD,GAC5BrQ,EAAO,IAAMqQ,EAAOR,EACpB7P,EAAO,IAAMsQ,EAAMD,EAAOR,CAC3B,CAED,OAAO7P,CACR,EAmoBCyQ,IA/mBF,SAA0CC,EAAmBC,EAAiBC,EAAazQ,GACzF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAiL,EAAKzJ,UAAUyJ,EAAKzK,SAASyQ,EAAQD,EAAU5C,GAAQA,GACvDnD,EAAKzJ,UAAUyJ,EAAKzH,MAAM0N,EAAI9C,EAAOF,GAAQA,GAC7CjD,EAAKzJ,UAAUyJ,EAAKzH,MAAM4K,EAAOF,EAAOC,GAAQA,GAEhD7N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAO,IAAM8N,EAAM,GAAQ9N,EAAO,IAAM,EAC9FA,EAAO,IAAM0Q,EAAS,GAAK1Q,EAAO,IAAM0Q,EAAS,GAAK1Q,EAAO,IAAM0Q,EAAS,GAAK1Q,EAAO,IAAM,EAEvFA,CACR,EAmmBC6Q,UAnlBF,SAAgDC,EAAcH,EAAiBC,EAAazQ,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAiL,EAAKzJ,UAAUyJ,EAAKzK,SAAS4Q,EAAKH,EAAQ7C,GAAQA,GAClDnD,EAAKzJ,UAAUyJ,EAAKzH,MAAM0N,EAAI9C,EAAOF,GAAQA,GAC7CjD,EAAKzJ,UAAUyJ,EAAKzH,MAAM4K,EAAOF,EAAOC,GAAQA,GAEhD7N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAO,IAAM8N,EAAM,GAAQ9N,EAAO,IAAM,EAC9FA,EAAO,IAAM8Q,EAAI,GAAK9Q,EAAO,IAAM8Q,EAAI,GAAK9Q,EAAO,IAAM8Q,EAAI,GAAK9Q,EAAO,IAAM,EAExEA,CACR,EAukBC+Q,OAzjBF,SAA6CD,EAAcH,EAAiBC,EAAazQ,GACvF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAehC,OAbAiL,EAAKzJ,UAAUyJ,EAAKzK,SAAS4Q,EAAKH,EAAQ7C,GAAQA,GAClDnD,EAAKzJ,UAAUyJ,EAAKzH,MAAM0N,EAAI9C,EAAOF,GAAQA,GAC7CjD,EAAKzJ,UAAUyJ,EAAKzH,MAAM4K,EAAOF,EAAOC,GAAQA,GAEhD7N,EAAQ,GAAK4N,EAAM,GAAK5N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK,EACrFA,EAAQ,GAAK4N,EAAM,GAAK5N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK,EACrFA,EAAQ,GAAK4N,EAAM,GAAK5N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAO,IAAM8N,EAAM,GAAK9N,EAAO,IAAM,EAErFA,EAAO,MAAQ4N,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,IACtE9Q,EAAO,MAAQ6N,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,IACtE9Q,EAAO,MAAQ8N,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,IACtE9Q,EAAO,IAAM,EAENA,CACR,EAyiBC4I,YAhiBF,SAAkD3J,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EACzEA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EAElEA,CACR,EAwhBC6I,UA9gBF,SAAgD9J,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP6F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IAsBd,OApBIA,IAAMiB,IACRA,EAAQ,GAAK8E,EACb9E,EAAQ,GAAK+E,EACb/E,EAAQ,GAAKgF,EACbhF,EAAQ,GAAK6K,EACb7K,EAAQ,GAAKiF,EACbjF,EAAQ,GAAKkF,EACblF,EAAQ,GAAKmF,EACbnF,EAAQ,GAAK8K,EACb9K,EAAQ,GAAKoF,EACbpF,EAAQ,GAAKqF,EACbrF,EAAO,IAAMsF,EACbtF,EAAO,IAAM+K,GAGf/K,EAAO,IAAM8E,EAAMpE,EAAKuE,EAAMtE,EAAKyE,EAAMsB,EAAKsE,EAC9ChL,EAAO,IAAM+E,EAAMrE,EAAKwE,EAAMvE,EAAK0E,EAAMqB,EAAKuE,EAC9CjL,EAAO,IAAMgF,EAAMtE,EAAKyE,EAAMxE,EAAK2E,EAAMoB,EAAKwE,EAC9ClL,EAAO,IAAM6K,EAAMnK,EAAKoK,EAAMnK,EAAKoK,EAAMrE,EAAKyE,EAEvCnL,CACR,EAmeCgR,UA3dF,SAAgDjI,EAAwB5I,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAOnB,OALA/I,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAMgJ,EAAIhJ,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,IAAMiJ,EAAIjJ,EAAO,IAAMgJ,EAAIhJ,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAgdCsK,QAtcF,SAA8CvL,EAAYgK,EAAwB5I,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BuF,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAsBnB,OApBA/I,EAAO,GAAMgJ,EAAI/D,EAAMgE,EAAI7D,EAC3BpF,EAAO,GAAMgJ,EAAI9D,EAAM+D,EAAI5D,EAC3BrF,EAAO,GAAMgJ,EAAI7D,EAAM8D,EAAI3D,EAC3BtF,EAAO,GAAMgJ,EAAI8B,EAAM7B,EAAI8B,EAC3B/K,EAAO,GAAMgJ,EAAI5D,EAAM6D,EAAIhE,EAC3BjF,EAAO,GAAMgJ,EAAI3D,EAAM4D,EAAI/D,EAC3BlF,EAAO,IAAMgJ,EAAI1D,EAAM2D,EAAI9D,EAC3BnF,EAAO,IAAMgJ,EAAI+B,EAAM9B,EAAI6B,EAEvB/L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAoaCiR,UA5ZF,SAAgDlI,EAAwB5I,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAOnB,OALA/I,EAAQ,GAAKgJ,EAAIhJ,EAAQ,GAAK,EAAIA,EAAQ,IAAMiJ,EAAIjJ,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAO,IAAOgJ,EAAIhJ,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAiZCyK,QAvYF,SAA8C1L,EAAYgK,EAAwB5I,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAsBnB,OApBA/I,EAAQ,GAAKgJ,EAAIlE,EAAMmE,EAAI7D,EAC3BpF,EAAQ,GAAKgJ,EAAIjE,EAAMkE,EAAI5D,EAC3BrF,EAAQ,GAAKgJ,EAAIhE,EAAMiE,EAAI3D,EAC3BtF,EAAQ,GAAKgJ,EAAI6B,EAAM5B,EAAI8B,EAC3B/K,EAAQ,GAAKgJ,EAAI5D,EAAM6D,EAAInE,EAC3B9E,EAAQ,GAAKgJ,EAAI3D,EAAM4D,EAAIlE,EAC3B/E,EAAO,IAAMgJ,EAAI1D,EAAM2D,EAAIjE,EAC3BhF,EAAO,IAAMgJ,EAAI+B,EAAM9B,EAAI4B,EAEvB9L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAqWCkR,UA7VF,SAAgDnI,EAAwB5I,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAOnB,OALA/I,EAAQ,GAAMgJ,EAAIhJ,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,IAAMiJ,EAAIjJ,EAAQ,GAAKgJ,EAAIhJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EACjEA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAkVC0K,QAxUF,SAA8C3L,EAAYgK,EAAwB5I,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAsBnB,OApBA/I,EAAQ,GAAKgJ,EAAIlE,EAAMmE,EAAIhE,EAC3BjF,EAAQ,GAAKgJ,EAAIjE,EAAMkE,EAAI/D,EAC3BlF,EAAQ,GAAKgJ,EAAIhE,EAAMiE,EAAI9D,EAC3BnF,EAAQ,GAAKgJ,EAAI6B,EAAM5B,EAAI6B,EAC3B9K,EAAQ,GAAKgJ,EAAI/D,EAAMgE,EAAInE,EAC3B9E,EAAQ,GAAKgJ,EAAI9D,EAAM+D,EAAIlE,EAC3B/E,EAAQ,GAAKgJ,EAAI7D,EAAM8D,EAAIjE,EAC3BhF,EAAQ,GAAKgJ,EAAI8B,EAAM7B,EAAI4B,EAEvB9L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAsSC+N,eACAjF,SA5OeiF,EA6OfE,aACAhK,OAzJagK,EA0Jb/E,QA/IF,SAA8CjK,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EACzEA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAElEA,CACR,EAuICkC,MA3HF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GAsBb,OApBAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAK0G,EAAK3H,EAAE,GACpBiB,EAAQ,GAAK0G,EAAK3H,EAAE,GACpBiB,EAAO,IAAM0G,EAAK3H,EAAE,IACpBiB,EAAO,IAAM0G,EAAK3H,EAAE,IAEhBA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAgGCmJ,eAxFF,SAAqDF,EAAW9I,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAMiJ,EAAIjJ,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,EAgFCoJ,aAvEF,SAAmDrK,EAAYkK,EAAW9I,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAO,IAAMiJ,EAAIlK,EAAE,IACnBiB,EAAO,IAAMiJ,EAAIlK,EAAE,IAEfA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAkDD,CAUU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC9uBA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAj3BJ,SAA6DD,GAC3D,MAAMiL,EAAOC,EAAqBlL,GAUpC,SAASG,EAAOC,EAAYC,EAAYoD,EAAYkE,GAClD,MAAMrH,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANoH,IACFrH,EAAO,GAAKqH,MAKbrH,CACR,CAUD,MAAMwB,EAAa3B,EAiCnB,SAASsR,EAA4C5I,EAAeQ,EAAwB5I,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EACZE,EAAIrK,KAAKiF,IAAIuN,GAOnB,OALApR,EAAO,GAAKiJ,EAAIV,EAAK,GACrBvI,EAAO,GAAKiJ,EAAIV,EAAK,GACrBvI,EAAO,GAAKiJ,EAAIV,EAAK,GACrBvI,EAAO,GAAKpB,KAAKgF,IAAIwN,GAEdpR,CACR,CA6CD,SAASqB,EAAuCjD,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkL,EAAKlL,EAAE,GACPiT,EAAKjT,EAAE,GAEPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACPuK,EAAKvK,EAAE,GACPsS,EAAKtS,EAAE,GAOb,OALAgB,EAAO,GAAKoC,EAAKkP,EAAKD,EAAK/O,EAAKD,EAAKkH,EAAKD,EAAK/G,EAC/CvC,EAAO,GAAKqC,EAAKiP,EAAKD,EAAK9O,EAAK+G,EAAKhH,EAAKF,EAAKmH,EAC/CvJ,EAAO,GAAKsJ,EAAKgI,EAAKD,EAAK9H,EAAKnH,EAAKG,EAAKF,EAAKC,EAC/CtC,EAAO,GAAKqR,EAAKC,EAAKlP,EAAKE,EAAKD,EAAKE,EAAK+G,EAAKC,EAExCvJ,CACR,CAUD,MAAMyD,EAAMpC,EA+FZ,SAASkQ,EAAoCnT,EAAYY,EAAYI,EAAWe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkL,EAAKlL,EAAE,GACPiT,EAAKjT,EAAE,GAEb,IAeIoT,EACAC,EAhBAnP,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACPuK,EAAKvK,EAAE,GACPsS,EAAKtS,EAAE,GAEP0S,EAAWtP,EAAKE,EAAKD,EAAKE,EAAK+G,EAAKC,EAAK8H,EAAKC,EAalD,GAXII,EAAW,IACbA,GAAYA,EACZpP,GAAMA,EACNC,GAAMA,EACNgH,GAAMA,EACN+H,GAAMA,GAMJ,EAAMI,EAAW7O,EAAe,CAClC,MAAM8O,EAAQ/S,KAAK8D,KAAKgP,GAClBE,EAAWhT,KAAKiF,IAAI8N,GAC1BH,EAAS5S,KAAKiF,KAAK,EAAIzE,GAAKuS,GAASC,EACrCH,EAAS7S,KAAKiF,IAAIzE,EAAIuS,GAASC,CAChC,MACCJ,EAAS,EAAMpS,EACfqS,EAASrS,EAQX,OALAY,EAAO,GAAKwR,EAASpP,EAAKqP,EAASnP,EACnCtC,EAAO,GAAKwR,EAASnP,EAAKoP,EAASlP,EACnCvC,EAAO,GAAKwR,EAASlI,EAAKmI,EAASlI,EACnCvJ,EAAO,GAAKwR,EAASH,EAAKI,EAASH,EAE5BtR,CACR,CAmMD,SAASoB,EAAmCgG,EAAYjH,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKoH,EAAE,GACdpH,EAAO,GAAKoH,EAAE,GACdpH,EAAO,GAAKoH,EAAE,GACdpH,EAAO,GAAKoH,EAAE,GAEPpH,CACR,CASD,MAAMwD,EAAQpC,EA2Bd,SAASlB,EAAuC9B,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CASD,MAAM2C,EAAMzC,EASZ,SAASG,EAAwCpB,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CASD,MAAMkC,EAAQ7B,EA0Bd,SAASG,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,CA4BD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,EACrD,CAOD,MAAMxF,EAAMV,EAOZ,SAASI,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,CAC3C,CAOD,MAAMvD,EAAQvC,EAQd,SAASK,EAAwCjC,EAAYkB,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,GAczD,OAZIxF,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK0G,EAAKvF,EACjBnB,EAAO,GAAK2G,EAAKxF,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAyCD,MAAM6R,EAAWlH,EAAK9K,SAChBiS,EAAYnH,EAAK9K,SACjBkS,EAAYpH,EAAK9K,SA2CjBmS,EAAY,IAAItS,EAAK,GACrBuS,EAAY,IAAIvS,EAAK,GA4B3B,MAAO,CACLG,SACA2B,aACAC,IA7vBF,SAA2C3B,EAAWC,EAAWoD,EAAWkE,EAAWlH,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKqH,EAELrH,CACR,EAqvBCmR,gBACAe,YAvtBF,SAAmD9K,EAAYjH,GAC7D,MAAMH,EAAUG,GAAOwK,EAAK9K,OAAO,GAE7BsC,EAA0B,EAAlBvD,KAAK8D,KAAK0E,EAAE,IACpB6B,EAAIrK,KAAKiF,IAAY,GAAR1B,GAWnB,OAVI8G,EAAIpG,GACN7C,EAAO,GAAKoH,EAAE,GAAK6B,EACnBjJ,EAAO,GAAKoH,EAAE,GAAK6B,EACnBjJ,EAAO,GAAKoH,EAAE,GAAK6B,IAEnBjJ,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGP,CAAEmC,QAAOoG,KAAMvI,EACvB,EAwsBCmC,MAhsBF,SAAe/D,EAAYY,GACzB,MAAME,EAAIsB,EAAIpC,EAAGY,GACjB,OAAOJ,KAAK8D,KAAK,EAAIxD,EAAIA,EAAI,EAC9B,EA8rBCmC,WACAoC,MACA6G,QAhpBF,SAA+ClD,EAAY2B,EAAwB5I,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EAEZc,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP+K,EAAK/K,EAAE,GAEP9E,EAAK1D,KAAKiF,IAAIuN,GACdE,EAAK1S,KAAKgF,IAAIwN,GAOpB,OALApR,EAAO,GAAK6J,EAAKyH,EAAKa,EAAK7P,EAC3BtC,EAAO,GAAK8J,EAAKwH,EAAKvH,EAAKzH,EAC3BtC,EAAO,GAAK+J,EAAKuH,EAAKxH,EAAKxH,EAC3BtC,EAAO,GAAKmS,EAAKb,EAAKzH,EAAKvH,EAEpBtC,CACR,EA8nBCyK,QArnBF,SAA+CrD,EAAY2B,EAAwB5I,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EAEZc,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP+K,EAAK/K,EAAE,GAEP7E,EAAK3D,KAAKiF,IAAIuN,GACdE,EAAK1S,KAAKgF,IAAIwN,GAOpB,OALApR,EAAO,GAAK6J,EAAKyH,EAAKvH,EAAKxH,EAC3BvC,EAAO,GAAK8J,EAAKwH,EAAKa,EAAK5P,EAC3BvC,EAAO,GAAK+J,EAAKuH,EAAKzH,EAAKtH,EAC3BvC,EAAO,GAAKmS,EAAKb,EAAKxH,EAAKvH,EAEpBvC,CACR,EAmmBC0K,QA1lBF,SAA+CtD,EAAY2B,EAAwB5I,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EAEZc,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP+K,EAAK/K,EAAE,GAEPmC,EAAK3K,KAAKiF,IAAIuN,GACdE,EAAK1S,KAAKgF,IAAIwN,GAOpB,OALApR,EAAO,GAAK6J,EAAKyH,EAAKxH,EAAKP,EAC3BvJ,EAAO,GAAK8J,EAAKwH,EAAKzH,EAAKN,EAC3BvJ,EAAO,GAAK+J,EAAKuH,EAAKa,EAAK5I,EAC3BvJ,EAAO,GAAKmS,EAAKb,EAAKvH,EAAKR,EAEpBvJ,CACR,EAwkBCuR,QACAhR,QA5gBF,SAA+C6G,EAAYjH,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0S,EAAKhL,EAAE,GACPiL,EAAKjL,EAAE,GACPkL,EAAKlL,EAAE,GACPmL,EAAKnL,EAAE,GAEP5G,EAAM4R,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EACzCC,EAAShS,EAAM,EAAIA,EAAM,EAO/B,OALAR,EAAO,IAAMoS,EAAKI,EAClBxS,EAAO,IAAMqS,EAAKG,EAClBxS,EAAO,IAAMsS,EAAKE,EAClBxS,EAAO,GAAMuS,EAAKC,EAEXxS,CACR,EA4fCyS,UAjfF,SAAiDrL,EAAYjH,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMoH,EAAE,GACfpH,EAAO,IAAMoH,EAAE,GACfpH,EAAO,IAAMoH,EAAE,GACfpH,EAAO,GAAMoH,EAAE,GAERpH,CACR,EAyeC0S,QA9dF,SAA+C3T,EAAsBoB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAc1BiT,EAAQ5T,EAAE,GAAKA,EAAE,GAAKA,EAAE,IAE9B,GAAI4T,EAAQ,EAAK,CAEf,MAAMC,EAAOhU,KAAKgC,KAAK+R,EAAQ,GAC/B3S,EAAO,GAAK,GAAM4S,EAClB,MAAMC,EAAU,GAAMD,EAEtB5S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM8T,EAC5B7S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM8T,EAC5B7S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM8T,CAC7B,KAAM,CAEL,IAAIC,EAAI,EAEJ/T,EAAE,GAAKA,EAAE,KACX+T,EAAI,GAEF/T,EAAE,IAAMA,EAAM,EAAJ+T,EAAQA,KACpBA,EAAI,GAGN,MAAMC,GAAKD,EAAI,GAAK,EACdxS,GAAKwS,EAAI,GAAK,EAEdF,EAAOhU,KAAKgC,KAAK7B,EAAM,EAAJ+T,EAAQA,GAAK/T,EAAM,EAAJgU,EAAQA,GAAKhU,EAAM,EAAJuB,EAAQA,GAAK,GACpEN,EAAO8S,GAAK,GAAMF,EAElB,MAAMC,EAAU,GAAMD,EAEtB5S,EAAO,IAAMjB,EAAM,EAAJgU,EAAQzS,GAAKvB,EAAM,EAAJuB,EAAQyS,IAAMF,EAC5C7S,EAAO+S,IAAMhU,EAAM,EAAJgU,EAAQD,GAAK/T,EAAM,EAAJ+T,EAAQC,IAAMF,EAC5C7S,EAAOM,IAAMvB,EAAM,EAAJuB,EAAQwS,GAAK/T,EAAM,EAAJ+T,EAAQxS,IAAMuS,CAC7C,CAED,OAAO7S,CACR,EA4aCgT,UAhaF,SACIC,EACAC,EACAC,EACAC,EACAjT,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2T,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EAEbK,EAAK5U,KAAKiF,IAAIwP,GACdI,EAAK7U,KAAKgF,IAAIyP,GACdK,EAAK9U,KAAKiF,IAAIyP,GACdK,EAAK/U,KAAKgF,IAAI0P,GACdM,EAAKhV,KAAKiF,IAAI0P,GACdM,EAAKjV,KAAKgF,IAAI2P,GAEpB,OAAQH,GACN,IAAK,MACHpT,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,QACE,MAAM,IAAIE,MAAM,2BAA2BV,KAG/C,OAAOpT,CACR,EA8VCoB,OACAoC,QACAxB,IA5TF,SAA2C5D,EAAYY,EAAYmB,GACjE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EAoTCE,WACAyC,MACAtC,YACA6B,QACAc,UAzPF,SAAiD/D,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAiPCQ,MACAJ,KA5NF,SAA4ChC,EAAYY,EAAYI,EAAWe,GAC7E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,EAoNCS,SACAU,MACAN,WACAuC,QACAlC,YACA0B,oBA3IF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAuICC,OA/HF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA8HC6F,SAvHF,SAAgD1E,GAC9C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA+GC+T,WAjGF,SAAkDC,EAAgBC,EAAgB9T,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1Bc,EAAMmK,EAAKnK,IAAIwT,EAAOC,GAC5B,OAAIzT,GAAO,SACTmK,EAAKzH,MAAM4O,EAAWkC,EAAOnC,GACzBlH,EAAKxJ,IAAI0Q,GAAY,MACvBlH,EAAKzH,MAAM6O,EAAWiC,EAAOnC,GAG/BlH,EAAKzJ,UAAU2Q,EAAUA,GACzBV,EAAcU,EAAUjT,KAAKC,GAAImB,GAE1BA,GACEQ,EAAM,SACfR,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,IAEP2K,EAAKzH,MAAM8Q,EAAOC,EAAOpC,GAEzB7R,EAAO,GAAK6R,EAAS,GACrB7R,EAAO,GAAK6R,EAAS,GACrB7R,EAAO,GAAK6R,EAAS,GACrB7R,EAAO,GAAK,EAAIQ,EAETU,EAAUlB,EAAQA,GAE5B,EAmECkU,OApDF,SACI9V,EACAY,EACAgK,EACA9J,EACAE,EACAe,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJA6R,EAAMnT,EAAGc,EAAGE,EAAG4S,GACfT,EAAMvS,EAAGgK,EAAG5J,EAAG6S,GACfV,EAAMS,EAAWC,EAAW,EAAI7S,GAAK,EAAIA,GAAIY,GAEtCA,CACR,EAyCD,CA+BU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCnKA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAlvBJ,SAA4DD,GAU5D,SAASG,EAAOC,EAAYC,EAAYoD,EAAYkE,GAClD,MAAMrH,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANoH,IACFrH,EAAO,GAAKqH,MAKbrH,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAsED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAmCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAyBD,SAASS,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,EACrD,CAcD,SAAS9F,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,CAC3C,CAeD,SAAS7F,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACdmV,EAAK/V,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,EAAK8K,EAAKA,EACrD,CAgBD,SAASlT,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACdmV,EAAK/V,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,EAAK8K,EAAKA,CAC3C,CAgBD,SAASjT,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,GAczD,OAZIxF,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK0G,EAAKvF,EACjBnB,EAAO,GAAK2G,EAAKxF,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CA0BD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4DD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WApoBiB3B,EAqoBjB4B,IAxnBF,SAA0C3B,EAAWC,EAAWoD,EAAWkE,EAAWlH,GACpF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKqH,EAELrH,CACR,EAgnBC0B,KAxmBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAgmBC2B,MAxlBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EAglBC4B,MAxkBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EAgkBC6B,MAtjBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA8iBCgC,IAriBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6hBCiC,UAnhBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA2gBCE,WACAyC,IAjfUzC,EAkfV0C,oBA1eF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAseCC,OA9dF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA6dCoB,OACA2C,MA7bF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAqbC+B,IA1aF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAkaC8B,IAvZF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA+YCK,YACA6B,MArXY7B,EAsXZ2C,UA7WF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAqWCO,UACA0C,OA7Ua1C,EA8UbC,IAtUF,SAAapC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,EAqUCyB,SACAU,IAlTUV,EAmTVI,WACAuC,MAhSYvC,EAiSZC,WACAuC,KA5QWvC,EA6QXG,aACAqC,OAxParC,EAyPbC,YACAqC,OApNF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA4MCoB,OACAoC,MAlLYpC,EAmLZC,WACAoC,IAvJUpC,EAwJVC,SACAoC,IA5HUpC,EA6HVwC,KAtHF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA8GC+D,cApGF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNoI,EAAIpI,EAAE,GAOZ,OALAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMsI,EACtDrH,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMsI,EACtDrH,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMsI,EACtDrH,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMsI,EAE/CrH,CACR,EAuFCuB,YACAgD,SAjEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA0DCyE,SAjDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAgDD,CA+BUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC3tBA,SAASyU,EAQLC,EACAC,EACAC,EACAC,EACAC,EACAC,GAEF,MAAO,CAELC,KAAMC,EAAiBP,GAEvBQ,KAAMC,EAAiBR,GAEvBS,KAAMC,EAAiBT,GAEvB5P,KAAMC,EAAiB4P,GAEvB7J,KAAMC,EAAiB6J,GAEvBQ,KAAMC,EAAiBR,GAE3B,CAEa,MAAAC,KAKXA,EAAIE,KAKJA,EAAIE,KAKJA,EAAIpQ,KAKJA,EAAIgG,KAKJA,EAAIsK,KAKJA,GACEb,EAEAe,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxER,KAAMS,EAKNP,KAAMQ,EAKNN,KAAMO,EAKN3Q,KAAM4Q,EAKN5K,KAAM6K,EAKNP,KAAMQ,GACJrB,EAEAsB,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxEf,KAAMgB,EAKNd,KAAMe,EAKNb,KAAMc,EAKNlR,KAAMmR,EAKNnL,KAAMoL,EAKNd,KAAMe,GACJ5B,EAEAnW,EAAWgY,MAAOA,MAAOA,MAAOA,MAAOA"} \ No newline at end of file +{"version":3,"file":"wgpu-matrix.min.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/vec3-impl.ts","../../../src/mat3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n const vec3 = getVec3API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n/**\n * Returns the \"2d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction get3DScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec3.create());\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n get3DScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["ZeroArray","OriginalConstructor","modifier","a","fill","constructor","args","super","this","EPSILON","degrees","Math","PI","n","m","b","v","d","abs","t","radians","old","cache","Map","getAPI","Ctor","api","get","create","x","y","newDst","undefined","subtract","dst","lerp","mulScalar","k","inverse","dot","length","v0","v1","sqrt","lengthSq","distance","dx","dy","distanceSq","normalize","len","copy","multiply","divide","setLength","fromValues","set","ceil","floor","round","clamp","min","max","add","addScaled","scale","angle","ax","ay","bx","by","mag","cosine","acos","sub","equalsApproximately","utils.EPSILON","equals","lerpV","divScalar","invert","cross","z","lenSq","dist","distSq","negate","clone","mul","div","random","cos","sin","zero","transformMat4","transformMat3","rotate","rad","p0","p1","sinC","cosC","truncate","maxLen","midpoint","getAPIImpl","v2","dz","az","bz","t1","t2","zScale","w","transformMat4Upper3x3","transformQuat","q","qx","qy","qz","w2","uvX","uvY","uvZ","getTranslation","getAxis","axis","off","getScaling","xx","xy","xz","yx","yy","yz","zx","zy","zz","rotateX","p","r","rotateY","rotateZ","vec2","getVec2API","vec3","getVec3API","identity","m00","m01","m02","m10","m11","m12","m20","m21","m22","b01","b11","b21","invDet","a00","a01","a02","a10","a11","a12","a20","a21","a22","b00","b02","b10","b12","b20","b22","v3","v4","v5","v6","v7","v8","fromMat4","m4","fromQuat","x2","y2","z2","wx","wy","wz","transpose","determinant","setTranslation","setAxis","get3DScaling","translation","translate","rotation","angleInRadians","c","s","scaling","uniformScaling","uniformScale","m03","m13","m23","m30","m31","m32","m33","tmp0","tmp1","tmp2","tmp3","tmp4","tmp5","tmp6","tmp7","tmp8","tmp9","tmp10","tmp11","tmp12","tmp13","tmp14","tmp15","tmp16","tmp17","tmp18","tmp19","tmp20","tmp21","tmp22","tmp23","t0","t3","a03","a13","a23","a30","a31","a32","a33","b03","b13","b23","b30","b31","b32","b33","xAxis","yAxis","zAxis","axisRotation","oneMinusCosine","axisRotate","r00","r01","r02","r10","r11","r12","r20","r21","r22","v9","v10","v11","v12","v13","v14","v15","fromMat3","m3","perspective","fieldOfViewYInRadians","aspect","zNear","zFar","f","tan","Number","isFinite","rangeInv","perspectiveReverseZ","Infinity","ortho","left","right","bottom","top","near","far","frustum","frustumReverseZ","aim","position","target","up","cameraAim","eye","lookAt","rotationX","rotationY","rotationZ","fromAxisAngle","halfAngle","aw","bw","slerp","scale0","scale1","cosOmega","omega","sinOmega","tempVec3","xUnitVec3","yUnitVec3","tempQuat1","tempQuat2","toAxisAngle","qw","a0","a1","a2","a3","invDot","conjugate","fromMat","trace","root","invRoot","i","j","fromEuler","xAngleInRadians","yAngleInRadians","zAngleInRadians","order","xHalfAngle","yHalfAngle","zHalfAngle","sx","cx","sy","cy","sz","cz","Error","rotationTo","aUnit","bUnit","sqlerp","dw","wgpuMatrixAPI","Mat3Ctor","Mat4Ctor","QuatCtor","Vec2Ctor","Vec3Ctor","Vec4Ctor","mat3","getMat3API","mat4","getMat4API","quat","getQuatAPI","vec4","getVec4API","Float32Array","mat3d","mat4d","quatd","vec2d","vec3d","vec4d","Float64Array","mat3n","mat4n","quatn","vec2n","vec3n","vec4n","Array"],"mappings":"kPAkBO,MAAMA,GAXXC,EAWsC,MAVtCC,EAUsDC,GAAKA,EAAEC,KAAK,GAR3D,cAAcH,EACnB,WAAAI,IAAeC,GACbC,SAASD,GACTJ,EAASM,KACV,IARL,IACEP,EACAC,ECcK,IAAIO,EAAU,4DAkBf,SAAmBC,GACvB,OAAOA,EAAUC,KAAKC,GAAK,GAC7B,kBAqDgB,SAAgBC,EAAWC,GACzC,OAASD,EAAIC,EAAKA,GAAKA,CACzB,uBAxB4BX,EAAWY,EAAWC,GAChD,MAAMC,EAAIF,EAAIZ,EACd,OAAQQ,KAAKO,IAAIH,EAAIZ,GAAKM,EACrBN,GACCa,EAAIb,GAAKc,CACjB,gBAlBqBd,EAAWY,EAAWI,GACzC,OAAOhB,GAAKY,EAAIZ,GAAKgB,CACvB,WAbM,SAAmBC,GACvB,OAAiB,IAAVA,EAAgBT,KAAKC,EAC9B,aAtBM,SAAqBI,GACzB,MAAMK,EAAMZ,EAEZ,OADAA,EAAUO,EACHK,CACT,GCgwBA,MAAMC,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAnwBJ,SAA4DD,GAkB5D,SAASG,EAAOC,EAAI,EAAGC,EAAI,GACzB,MAAMC,EAAS,IAAIN,EAAK,GAOxB,YANUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,IAGTC,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA0CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAgED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAiCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAmCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAOZ,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,EAC/B,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EACjC,CAcD,SAASE,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,CACvB,CAeD,SAASG,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EACjC,CAgBD,SAASC,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,CACvB,CAgBD,SAASE,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,GAUrC,OARIQ,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAwBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAiHD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WAtqBiB3B,EAuqBjB4B,IA5pBF,SAA0C3B,EAAWC,EAAWI,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EAELC,CACR,EAspBC0B,KA9oBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAwoBC2B,MAhoBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA0nBC4B,MAlnBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA4mBC6B,MAlmBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA4lBCgC,IAnlBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6kBCiC,UAnkBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA6jBCmC,MArjBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,GACzBzD,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,GAEhCE,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EA4iBCvC,WACAyC,IAphBUzC,EAqhBV0C,oBA7gBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EA2gBCC,OAngBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACpC,EAkgBCoB,OACA2C,MApeF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EA8dC+B,IAndF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA6cC8B,IAlcF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA4bCK,YACA6B,MApaY7B,EAqaZ2C,UA5ZF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAsZCO,UACA0C,OAhYa1C,EAiYb2C,MAvXF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1ByD,EAAI/E,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKjC,OAJAgB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAKmD,EAELnD,CACR,EAgXCQ,MACAC,SACAU,IArVUV,EAsVVI,WACAuC,MArUYvC,EAsUZC,WACAuC,KAnTWvC,EAoTXG,aACAqC,OAjSarC,EAkSbC,YACAqC,OAnQF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA6PCoB,OACAoC,MArOYpC,EAsOZC,WACAoC,IA5MUpC,EA6MVC,SACAoC,IAnLUpC,EAoLVqC,OA5KF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GAIvC,OAHAmB,EAAO,GAAKpB,KAAKgF,IAAIzB,GAASD,EAC9BlC,EAAO,GAAKpB,KAAKiF,IAAI1B,GAASD,EAEvBlC,CACR,EAqKC8D,KA9JF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EAwJC+D,cA9IF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IACpCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IAE7BiB,CACR,EAqICgE,cA3HF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GACpCiB,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAE7BiB,CACR,EAkHCiE,OAxGF,SAA6C7F,EAAYY,EAAYkF,EAAa/D,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAG1ByE,EAAK/F,EAAE,GAAKY,EAAE,GACdoF,EAAKhG,EAAE,GAAKY,EAAE,GACdqF,EAAOzF,KAAKiF,IAAIK,GAChBI,EAAO1F,KAAKgF,IAAIM,GAMtB,OAHAlE,EAAO,GAAKmE,EAAKG,EAAOF,EAAKC,EAAOrF,EAAE,GACtCgB,EAAO,GAAKmE,EAAKE,EAAOD,EAAKE,EAAOtF,EAAE,GAE/BgB,CACR,EA2FCuB,YACAgD,SAtEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA+DCyE,SAtDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAqDD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCiNA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA79BJ,SAA4DD,GAS5D,SAASG,EAAOC,EAAYC,EAAYoD,GACtC,MAAMnD,EAAS,IAAIN,EAAK,GAUxB,YATUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,KAIXnD,CACR,CA+JD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA2CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAmED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAkCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAqCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClD,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAC3C,CAcD,SAAS9D,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,CACjC,CAeD,SAAS7D,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,EAC3C,CAgBD,SAAS3D,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,CACjC,CAgBD,SAAS1D,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,GAa/C,OAXIxD,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK2E,EAAKxD,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAIPA,CACR,CAyBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAuSD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WA73BiB3B,EA83BjB4B,IAl3BF,SAA0C3B,EAAWC,EAAWoD,EAAWhD,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EAELnD,CACR,EA22BC0B,KAn2BF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EA41BC2B,MAp1BF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA60BC4B,MAr0BF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA8zBC6B,MApzBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA6yBCgC,IApyBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6xBCiC,UAnxBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA4wBCmC,MApwBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPyG,EAAKzG,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACP8F,EAAK9F,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,EAAKwC,EAAKA,GACnCjG,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,EAAKuC,EAAKA,GAE1CrC,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EAyvBCvC,WACAyC,IAhuBUzC,EAiuBV0C,oBAztBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAstBCC,OA9sBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACrD,EA6sBCoB,OACA2C,MA9qBF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAuqBC+B,IA5pBF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAqpBC8B,IA1oBF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAmoBCK,YACA6B,MA1mBY7B,EA2mBZ2C,UAlmBF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EA2lBCO,UACA0C,OApkBa1C,EAqkBb2C,MA3jBF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BqF,EAAK3G,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAC5BgG,EAAK5G,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKlC,OAJAgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GACnCgB,EAAO,GAAK+E,EACZ/E,EAAO,GAAKgF,EAELhF,CACR,EAkjBCQ,MACAC,SACAU,IAthBUV,EAuhBVI,WACAuC,MArgBYvC,EAsgBZC,WACAuC,KAlfWvC,EAmfXG,aACAqC,OA/darC,EAgebC,YACAqC,OA7bF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EAsbCoB,OACAoC,MA7ZYpC,EA8ZZC,WACAoC,IAnYUpC,EAoYVC,SACAoC,IAzWUpC,EA0WVqC,OAlWF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GACjCsE,EAAoB,EAAhBvE,KAAK+E,SAAe,EACxBsB,EAASrG,KAAKgC,KAAK,EAAIuC,EAAIA,GAAKjB,EAKtC,OAJAlC,EAAO,GAAKpB,KAAKgF,IAAIzB,GAAS8C,EAC9BjF,EAAO,GAAKpB,KAAKiF,IAAI1B,GAAS8C,EAC9BjF,EAAO,GAAKmD,EAAIjB,EAETlC,CACR,EAwVC8D,KAjVF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA0UC+D,cAhUF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNiG,EAAKnG,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAQ,EAMvD,OAJAiB,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOmG,EACvDlF,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOmG,EACvDlF,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAOmG,EAEjDlF,CACR,EAoTCmF,sBA3SF,SAA4DlG,EAAYF,EAAYoB,GAClF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GAMb,OAJAe,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa4F,EAAK5F,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa4F,EAAK5F,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa4F,EAAK5F,EAAE,IAEpDiB,CACR,EAgSCgE,cAtRF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAMZ,OAJAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,IAEjCiB,CACR,EA2QCoF,cAlQF,SAAoDnG,EAAYoG,EAAYlF,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B4F,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACPI,EAAY,EAAPJ,EAAE,GAEPvF,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAENyG,EAAMH,EAAKpC,EAAIqC,EAAKzF,EACpB4F,EAAMH,EAAK1F,EAAIwF,EAAKnC,EACpByC,EAAMN,EAAKvF,EAAIwF,EAAKzF,EAM1B,OAJAE,EAAO,GAAKF,EAAI4F,EAAMD,EAA6B,GAAvBF,EAAKK,EAAMJ,EAAKG,GAC5C3F,EAAO,GAAKD,EAAI4F,EAAMF,EAA6B,GAAvBD,EAAKE,EAAMJ,EAAKM,GAC5C5F,EAAO,GAAKmD,EAAIyC,EAAMH,EAA6B,GAAvBH,EAAKK,EAAMJ,EAAKG,GAErC1F,CACR,EA8OC6F,eArOF,SAAqD9G,EAAYoB,GAC7D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAIhC,OAHAM,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACV,EAgOC8F,QAzNF,SAA8C/G,EAAYgH,EAAc5F,GACpE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BsG,EAAa,EAAPD,EAIZ,OAHA/F,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACbhG,CACV,EAmNCiG,WA7MF,SAAiDlH,EAAYoB,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BwG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPqH,EAAKrH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GACPwH,EAAKxH,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACP2H,EAAK3H,EAAE,IAIb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CpG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CvG,EAAO,GAAKpB,KAAKgC,KAAK4F,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GACxC1G,CACV,EA+LC2G,QApLF,SAA8CvI,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BkH,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAGhB6H,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAKhI,KAAKgF,IAAIM,GAAO0C,EAAE,GAAKhI,KAAKiF,IAAIK,GAC9C2C,EAAE,GAAKD,EAAE,GAAKhI,KAAKiF,IAAIK,GAAO0C,EAAE,GAAKhI,KAAKgF,IAAIM,GAG9ClE,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GAEdgB,CACR,EAgKC8G,QArJF,SAA8C1I,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BkH,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAGhB6H,EAAE,GAAKD,EAAE,GAAKhI,KAAKiF,IAAIK,GAAO0C,EAAE,GAAKhI,KAAKgF,IAAIM,GAC9C2C,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAKhI,KAAKgF,IAAIM,GAAO0C,EAAE,GAAKhI,KAAKiF,IAAIK,GAG9ClE,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GAEdgB,CACR,EAiIC+G,QAtHF,SAA8C3I,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BkH,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAGhB6H,EAAE,GAAKD,EAAE,GAAKhI,KAAKgF,IAAIM,GAAO0C,EAAE,GAAKhI,KAAKiF,IAAIK,GAC9C2C,EAAE,GAAKD,EAAE,GAAKhI,KAAKiF,IAAIK,GAAO0C,EAAE,GAAKhI,KAAKgF,IAAIM,GAC9C2C,EAAE,GAAKD,EAAE,GAGT5G,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GAEdgB,CACR,EAkGCuB,YACAgD,SA7EF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EAsECyE,SA7DF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EA6DD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCxOA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA1vBJ,SAA4DD,GAC1D,MAAMsH,EAAOC,EAAoBvH,GAC3BwH,EAAOC,EAAoBzH,GAiKnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAElDiB,CACR,CAqDD,SAASoH,EAAsCjH,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,CAuDD,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAER+I,EAAOD,EAAMJ,EAAMC,EAAME,EACzBG,GAAOF,EAAML,EAAME,EAAMC,EACzBK,EAAOJ,EAAMJ,EAAMC,EAAME,EAEzBM,EAAS,GAAKZ,EAAMS,EAAMR,EAAMS,EAAMR,EAAMS,GAYlD,OAVAhI,EAAQ,GAAK8H,EAAMG,EACnBjI,EAAQ,KAAO6H,EAAMP,EAAMC,EAAMK,GAAOK,EACxCjI,EAAQ,IAAO0H,EAAMJ,EAAMC,EAAME,GAAOQ,EACxCjI,EAAQ,GAAK+H,EAAME,EACnBjI,EAAQ,IAAO6H,EAAMR,EAAME,EAAMI,GAAOM,EACxCjI,EAAQ,KAAO0H,EAAML,EAAME,EAAMC,GAAOS,EACxCjI,EAAQ,GAAKgI,EAAMC,EACnBjI,EAAQ,KAAO4H,EAAMP,EAAMC,EAAMK,GAAOM,EACxCjI,EAAO,KAAQyH,EAAMJ,EAAMC,EAAME,GAAOS,EAEjCjI,CACR,CAsCD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BwI,EAAM9J,EAAE,GACR+J,EAAM/J,EAAE,GACRgK,EAAMhK,EAAE,GACRiK,EAAMjK,EAAG,GACTkK,EAAMlK,EAAG,GACTmK,EAAMnK,EAAG,GACToK,EAAMpK,EAAG,GACTqK,EAAMrK,EAAG,GACTsK,EAAMtK,EAAG,IACTuK,EAAM3J,EAAE,GACR8I,EAAM9I,EAAE,GACR4J,EAAM5J,EAAE,GACR6J,EAAM7J,EAAG,GACT+I,EAAM/I,EAAG,GACT8J,EAAM9J,EAAG,GACT+J,EAAM/J,EAAG,GACTgJ,EAAMhJ,EAAG,GACTgK,EAAMhK,EAAG,IAYf,OAVAgB,EAAQ,GAAKkI,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAC3C5I,EAAQ,GAAKmI,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAC3C5I,EAAQ,GAAKoI,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAC3C5I,EAAQ,GAAKkI,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAC3C9I,EAAQ,GAAKmI,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAC3C9I,EAAQ,GAAKoI,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAC3C9I,EAAQ,GAAKkI,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAC3ChJ,EAAQ,GAAKmI,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAC3ChJ,EAAO,IAAMoI,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAEpChJ,CACR,CA4UD,MAAO,CACLwD,MA7hBYpC,EA8hBZvB,OAvrBF,SACIa,EAAaC,EAAagE,EAC1BsE,EAAaC,EAAaC,EAC1BC,EAAaC,EAAaC,GAC5B,MAAMtJ,EAAS,IAAIN,EAAK,IAkCxB,OAhCAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,IAAM,OAEFC,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAP0E,IACF3E,EAAO,GAAK2E,OACD1E,IAAPgJ,IACFjJ,EAAO,GAAKiJ,OACDhJ,IAAPiJ,IACFlJ,EAAO,GAAKkJ,OACDjJ,IAAPkJ,IACFnJ,EAAO,GAAKmJ,OACDlJ,IAAPmJ,IACFpJ,EAAO,GAAKoJ,OACDnJ,IAAPoJ,IACFrJ,EAAO,GAAKqJ,OACDpJ,IAAPqJ,IACFtJ,EAAO,IAAMsJ,WAWxBtJ,CACR,EAipBCyB,IA/nBF,SACIf,EAAYC,EAAYgE,EACxBsE,EAAYC,EAAYC,EACxBC,EAAYC,EAAYC,EAAYnJ,GACtC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAO,GAAKU,EAAKV,EAAO,GAAKW,EAAKX,EAAQ,GAAK2E,EAAK3E,EAAQ,GAAK,EACjEA,EAAO,GAAKiJ,EAAKjJ,EAAO,GAAKkJ,EAAKlJ,EAAQ,GAAKmJ,EAAKnJ,EAAQ,GAAK,EACjEA,EAAO,GAAKoJ,EAAKpJ,EAAO,GAAKqJ,EAAKrJ,EAAO,IAAMsJ,EAAKtJ,EAAO,IAAM,EAE1DA,CACR,EAqnBCuJ,SA7mBF,SAA+CC,EAAarJ,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAIhC,OAHAM,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAQ,GAAKwJ,EAAI,GAAKxJ,EAAQ,GAAK,EAC3EA,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAQ,GAAKwJ,EAAI,GAAKxJ,EAAQ,GAAK,EAC3EA,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,IAAMwJ,EAAG,IAAMxJ,EAAO,IAAM,EACpEA,CACR,EAwmBCyJ,SAhmBF,SAA+CpE,EAAYlF,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIuF,EAAE,GAAUtF,EAAIsF,EAAE,GAAUlC,EAAIkC,EAAE,GAAUH,EAAIG,EAAE,GACtDqE,EAAK5J,EAAIA,EAAS6J,EAAK5J,EAAIA,EAAS6J,EAAKzG,EAAIA,EAE7C+C,EAAKpG,EAAI4J,EACTrD,EAAKtG,EAAI2J,EACTpD,EAAKvG,EAAI4J,EACTnD,EAAKrD,EAAIuG,EACTjD,EAAKtD,EAAIwG,EACTjD,EAAKvD,EAAIyG,EACTC,EAAK3E,EAAIwE,EACTI,EAAK5E,EAAIyE,EACTI,EAAK7E,EAAI0E,EAMf,OAJA5J,EAAQ,GAAK,EAAIsG,EAAKI,EAAK1G,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAK,EAAIkG,EAAKQ,EAAK1G,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAO,IAAM,EAAIkG,EAAKI,EAAKtG,EAAO,IAAM,EAEvFA,CACR,EA4kBCuD,OApkBF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAErDiB,CACR,EA6jBCoB,OACAwB,oBA5hBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EAmhBCC,OA3gBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,GACpB,EAkgBCoI,WACA4C,UA3eF,SAAgDjL,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAkBJ,OAZAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEAY,CACR,CAED,MAAMqH,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAMd,OAJAiB,EAAQ,GAAKqH,EAAMrH,EAAQ,GAAKwH,EAAMxH,EAAQ,GAAK2H,EACnD3H,EAAQ,GAAKsH,EAAMtH,EAAQ,GAAKyH,EAAMzH,EAAQ,GAAK4H,EACnD5H,EAAQ,GAAKuH,EAAMvH,EAAQ,GAAK0H,EAAM1H,EAAO,IAAM6H,EAE5C7H,CACR,EAqcCO,UACA0C,OAnYa1C,EAoYb0J,YA1ZF,SAAqBlL,GACnB,MAAMsI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAEd,OAAOsI,GAAOI,EAAMI,EAAMD,EAAMF,GACzBF,GAAOF,EAAMO,EAAMD,EAAML,GACzBI,GAAOL,EAAMI,EAAMD,EAAMF,EACjC,EA6YC9D,IAlVUpC,EAmVVA,WACA6I,eA1UF,SAAqD9L,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAOiH,IAYvB,OAXIhJ,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,IAElB4B,EAAQ,GAAKf,EAAE,GACfe,EAAQ,GAAKf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EA6TC6F,eApTF,SAAqD9G,EAAYoB,GAC/D,MAAMH,EAAUG,GAAO6G,EAAKnH,SAG5B,OAFAG,EAAO,GAAKjB,EAAE,GACdiB,EAAO,GAAKjB,EAAE,GACPiB,CACR,EAgTC8F,QAxSF,SAA8C/G,EAAYgH,EAAc5F,GACtE,MAAMH,EAAUG,GAAO6G,EAAKnH,SACtBmG,EAAa,EAAPD,EAGZ,OAFA/F,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACbhG,CACR,EAmSCmK,QAzRF,SAA8CpL,EAAYE,EAAY8G,EAAc5F,GAClF,MAAMH,EAAUG,IAAQpB,EAAIA,EAAIqC,EAAKrC,EAAGoB,GAElC6F,EAAa,EAAPD,EAGZ,OAFA/F,EAAOgG,EAAM,GAAK/G,EAAE,GACpBe,EAAOgG,EAAM,GAAK/G,EAAE,GACbe,CACR,EAmRCiG,WA5QF,SAAiDlH,EAAYoB,GAC3D,MAAMH,EAAUG,GAAO6G,EAAKnH,SAEtBqG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GAKb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,GACrCnG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,GAE9BtG,CACR,EAiQCoK,aAzPF,SAAmDrL,EAAYoB,GAC7D,MAAMH,EAAUG,GAAO+G,EAAKrH,SAEtBqG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPqH,EAAKrH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GACPwH,EAAKxH,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACP2H,EAAK3H,EAAE,IAMb,OAJAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CpG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CvG,EAAO,GAAKpB,KAAKgC,KAAK4F,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAExC1G,CACR,EAwOCqK,YAhOF,SAAkDpL,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAKf,EAAE,GAAKe,EAAO,IAAM,EAE9CA,CACR,EAyNCsK,UAhNF,SAAgDvL,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAEPoI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAed,OAbIA,IAAMiB,IACRA,EAAQ,GAAKqH,EACbrH,EAAQ,GAAKsH,EACbtH,EAAQ,GAAKuH,EACbvH,EAAQ,GAAKwH,EACbxH,EAAQ,GAAKyH,EACbzH,EAAQ,GAAK0H,GAGf1H,EAAQ,GAAKqH,EAAM3G,EAAK8G,EAAM7G,EAAKgH,EACnC3H,EAAQ,GAAKsH,EAAM5G,EAAK+G,EAAM9G,EAAKiH,EACnC5H,EAAO,IAAMuH,EAAM7G,EAAKgH,EAAM/G,EAAKkH,EAE5B7H,CACR,EAmLCuK,SA3KF,SAA+CC,EAAwBrK,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAMnB,OAJAxK,EAAQ,GAAMyK,EAAIzK,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAChDA,EAAQ,IAAM0K,EAAI1K,EAAQ,GAAKyK,EAAIzK,EAAQ,GAAK,EAChDA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAEzCA,CACR,EAiKCiE,OAxJF,SAA6ClF,EAAYyL,EAAwBrK,GAC/E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAiBnB,OAfAxK,EAAQ,GAAKyK,EAAIpD,EAAMqD,EAAIlD,EAC3BxH,EAAQ,GAAKyK,EAAInD,EAAMoD,EAAIjD,EAC3BzH,EAAQ,GAAKyK,EAAIlD,EAAMmD,EAAIhD,EAE3B1H,EAAQ,GAAKyK,EAAIjD,EAAMkD,EAAIrD,EAC3BrH,EAAQ,GAAKyK,EAAIhD,EAAMiD,EAAIpD,EAC3BtH,EAAQ,GAAKyK,EAAI/C,EAAMgD,EAAInD,EAGvBxI,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA6HC2K,QAlHF,SAA8C1L,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAE9CA,CACR,EA2GCkC,MA/FF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAgBb,OAdAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GAEpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GAEhBA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA2EC4K,eAnEF,SAAqDF,EAAWvK,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,EA4DC6K,aAlDF,SAAmD9L,EAAY2L,EAAWvK,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAgBhC,OAdAM,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GAEnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GAEfA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAmCD,CASU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC4zBA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAvlDJ,SAA4DD,GAC1D,MAAMwH,EAAOC,EAAoBzH,GAgOnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAC9EiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAEvEiB,CACR,CASD,MAAMwD,EAAQpC,EA0Dd,SAASgG,EAAsCjH,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,CAsED,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IACRsM,EAAQxD,EAAMuD,EACdE,EAAQH,EAAMH,EACdO,EAAQ7D,EAAM0D,EACdI,EAAQL,EAAMJ,EACdU,EAAQ/D,EAAMsD,EACdU,EAAQ7D,EAAMkD,EACdY,EAAQpE,EAAM6D,EACdQ,EAAQT,EAAML,EACde,EAAQtE,EAAMyD,EACdc,EAAQjE,EAAMiD,EACdiB,EAAQxE,EAAMwD,EACdiB,EAAQtE,EAAMoD,EACdmB,EAAQtE,EAAMuD,EACdgB,EAAQjB,EAAMrD,EACduE,EAAQ3E,EAAM0D,EACdkB,EAAQnB,EAAMxD,EACd4E,EAAQ7E,EAAMI,EACd0E,EAAQ3E,EAAMF,EACd8E,EAAQlF,EAAM6D,EACdsB,EAAQvB,EAAM3D,EACdmF,EAAQpF,EAAMO,EACd8E,EAAQ/E,EAAML,EACdqF,EAAQtF,EAAMI,EACdmF,EAAQpF,EAAMF,EAEduF,EAAMxB,EAAO5D,EAAM+D,EAAO5D,EAAM6D,EAAOP,GACxCI,EAAO7D,EAAM8D,EAAO3D,EAAM8D,EAAOR,GAChCnG,EAAMuG,EAAOhE,EAAMqE,EAAO/D,EAAMkE,EAAOZ,GACxCG,EAAO/D,EAAMsE,EAAOhE,EAAMiE,EAAOX,GAChClG,EAAMuG,EAAOjE,EAAMsE,EAAOnE,EAAMsE,EAAQb,GACzCM,EAAOlE,EAAMqE,EAAOlE,EAAMuE,EAAQd,GACjC4B,EAAMpB,EAAOpE,EAAMuE,EAAOpE,EAAMuE,EAAQpE,GACzC6D,EAAOnE,EAAMwE,EAAOrE,EAAMsE,EAAQnE,GAEjC1I,EAAI,GAAKmI,EAAMwF,EAAKrF,EAAMzC,EAAK4C,EAAM3C,EAAKiG,EAAM6B,GA+BtD,OA7BA9M,EAAQ,GAAKd,EAAI2N,EACjB7M,EAAQ,GAAKd,EAAI6F,EACjB/E,EAAQ,GAAKd,EAAI8F,EACjBhF,EAAQ,GAAKd,EAAI4N,EACjB9M,EAAQ,GAAKd,GAAMoM,EAAO9D,EAAM+D,EAAO5D,EAAM+D,EAAOT,GAC3CI,EAAO7D,EAAMgE,EAAO7D,EAAM8D,EAAOR,IAC1CjL,EAAQ,GAAKd,GAAMmM,EAAOhE,EAAMuE,EAAOjE,EAAMkE,EAAOZ,GAC3CK,EAAOjE,EAAMsE,EAAOhE,EAAMmE,EAAOb,IAC1CjL,EAAQ,GAAKd,GAAMsM,EAAOnE,EAAMsE,EAAOnE,EAAMwE,EAAQf,GAC5CM,EAAOlE,EAAMuE,EAAOpE,EAAMuE,EAAQd,IAC3CjL,EAAQ,GAAKd,GAAMuM,EAAOpE,EAAMyE,EAAOtE,EAAMuE,EAAQpE,GAC5C+D,EAAOrE,EAAMwE,EAAOrE,EAAMwE,EAAQrE,IAC3C3H,EAAQ,GAAKd,GAAM+M,EAAQlB,EAAMqB,EAAQpB,EAAMqB,EAAQjB,GAC9Cc,EAAQnB,EAAMoB,EAAQnB,EAAMsB,EAAQlB,IAC7CpL,EAAQ,GAAKd,GAAMgN,EAAQpB,EAAMyB,EAAQvB,EAAM0B,EAAQtB,GAC9Ca,EAAQnB,EAAM0B,EAAQxB,EAAMyB,EAAQrB,IAC7CpL,EAAO,IAAMd,GAAMiN,EAAQrB,EAAM0B,EAAQzB,EAAM4B,EAAQvB,GAC9CgB,EAAQtB,EAAMyB,EAAQxB,EAAM6B,EAAQxB,IAC7CpL,EAAO,IAAMd,GAAMoN,EAAQxB,EAAM2B,EAAQ1B,EAAM6B,EAAQ5B,GAC9CqB,EAAQvB,EAAM4B,EAAQ3B,EAAM4B,EAAQ3B,IAC7ChL,EAAO,IAAMd,GAAMiN,EAAQtE,EAAMyE,EAAQnB,EAAMe,EAAQxE,GAC9C2E,EAAQlB,EAAMc,EAAQvE,EAAM0E,EAAQvE,IAC7C7H,EAAO,IAAMd,GAAMuN,EAAQtB,EAAMc,EAAQ1E,EAAMiF,EAAQ3E,GAC9C0E,EAAQ1E,EAAM6E,EAAQvB,EAAMe,EAAQ3E,IAC7CvH,EAAO,IAAMd,GAAMqN,EAAQ7E,EAAMkF,EAAQzB,EAAMiB,EAAQ7E,GAC9CoF,EAAQxB,EAAMgB,EAAQ5E,EAAMiF,EAAQ9E,IAC7C1H,EAAO,IAAMd,GAAMyN,EAAQ9E,EAAMwE,EAAQ9E,EAAMmF,EAAQhF,GAC9C+E,EAAQ/E,EAAMkF,EAAQ/E,EAAMyE,EAAQ/E,IAEtCvH,CACR,CAwDD,MAAMiD,EAAS1C,EASf,SAASc,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BwI,EAAM9J,EAAE,GACR+J,EAAM/J,EAAE,GACRgK,EAAMhK,EAAE,GACR2O,EAAM3O,EAAE,GACRiK,EAAMjK,EAAG,GACTkK,EAAMlK,EAAG,GACTmK,EAAMnK,EAAG,GACT4O,EAAM5O,EAAG,GACToK,EAAMpK,EAAG,GACTqK,EAAMrK,EAAG,GACTsK,EAAMtK,EAAG,IACT6O,EAAM7O,EAAG,IACT8O,EAAM9O,EAAE,IACR+O,EAAM/O,EAAE,IACRgP,EAAMhP,EAAE,IACRiP,EAAMjP,EAAE,IACRuK,EAAM3J,EAAE,GACR8I,EAAM9I,EAAE,GACR4J,EAAM5J,EAAE,GACRsO,EAAMtO,EAAE,GACR6J,EAAM7J,EAAG,GACT+I,EAAM/I,EAAG,GACT8J,EAAM9J,EAAG,GACTuO,EAAMvO,EAAG,GACT+J,EAAM/J,EAAG,GACTgJ,EAAMhJ,EAAG,GACTgK,EAAMhK,EAAG,IACTwO,EAAMxO,EAAG,IACTyO,EAAMzO,EAAE,IACR0O,EAAM1O,EAAE,IACR2O,EAAM3O,EAAE,IACR4O,EAAM5O,EAAE,IAmBd,OAjBAgB,EAAQ,GAAKkI,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAAMsE,EAAMI,EACvDtN,EAAQ,GAAKmI,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAAMuE,EAAMG,EACvDtN,EAAQ,GAAKoI,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAAMwE,EAAME,EACvDtN,EAAQ,GAAK+M,EAAMpE,EAAMqE,EAAMlF,EAAMmF,EAAMrE,EAAMyE,EAAMC,EACvDtN,EAAQ,GAAKkI,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAAMoE,EAAMK,EACvDvN,EAAQ,GAAKmI,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAAMqE,EAAMI,EACvDvN,EAAQ,GAAKoI,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAAMsE,EAAMG,EACvDvN,EAAQ,GAAK+M,EAAMlE,EAAMmE,EAAMjF,EAAMkF,EAAMnE,EAAMuE,EAAME,EACvDvN,EAAQ,GAAKkI,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAAMkE,EAAMM,EACvDxN,EAAQ,GAAKmI,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAAMmE,EAAMK,EACvDxN,EAAO,IAAMoI,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAAMoE,EAAMI,EACvDxN,EAAO,IAAM+M,EAAMhE,EAAMiE,EAAMhF,EAAMiF,EAAMjE,EAAMqE,EAAMG,EACvDxN,EAAO,IAAMkI,EAAMuF,EAAMpF,EAAMqF,EAAMlF,EAAMmF,EAAMT,EAAMU,EACvD5N,EAAO,IAAMmI,EAAMsF,EAAMnF,EAAMoF,EAAMjF,EAAMkF,EAAMR,EAAMS,EACvD5N,EAAO,IAAMoI,EAAMqF,EAAMlF,EAAMmF,EAAMhF,EAAMiF,EAAMP,EAAMQ,EACvD5N,EAAO,IAAM+M,EAAMU,EAAMT,EAAMU,EAAMT,EAAMU,EAAMN,EAAMO,EAEhD5N,CACR,CASD,MAAMyD,EAAMpC,EAsWNwM,EAAQ3G,EAAKrH,SACbiO,EAAQ5G,EAAKrH,SACbkO,EAAQ7G,EAAKrH,SAgXnB,SAASmO,EAA0CjI,EAAeyE,EAAwBrK,GACxF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIiG,EAAK,GACThG,EAAIgG,EAAK,GACT5C,EAAI4C,EAAK,GACb,MAAMjH,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAMoH,EAAKpG,EAAIA,EACTwG,EAAKvG,EAAIA,EACT2G,EAAKvD,EAAIA,EACTsH,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GACbyD,EAAiB,EAAIxD,EAmB3B,OAjBAzK,EAAQ,GAAKkG,GAAM,EAAIA,GAAMuE,EAC7BzK,EAAQ,GAAKF,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EAC1C1K,EAAQ,GAAKF,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EAC1C1K,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EAC1C1K,EAAQ,GAAKsG,GAAM,EAAIA,GAAMmE,EAC7BzK,EAAQ,GAAKD,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EAC1C1K,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EAC1C1K,EAAQ,GAAKD,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EAC1C1K,EAAO,IAAM0G,GAAM,EAAIA,GAAM+D,EAC7BzK,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAENA,CACR,CAwBD,SAASkO,EAAwCnP,EAAYgH,EAAeyE,EAAwBrK,GAClG,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIiG,EAAK,GACThG,EAAIgG,EAAK,GACT5C,EAAI4C,EAAK,GACb,MAAMjH,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAMoH,EAAKpG,EAAIA,EACTwG,EAAKvG,EAAIA,EACT2G,EAAKvD,EAAIA,EACTsH,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GACbyD,EAAiB,EAAIxD,EAErB0D,EAAMjI,GAAM,EAAIA,GAAMuE,EACtB2D,EAAMtO,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EACnC2D,EAAMvO,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EACnC4D,EAAMxO,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EACnC6D,EAAMjI,GAAM,EAAIA,GAAMmE,EACtB+D,EAAMzO,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EACnC+D,EAAM3O,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EACnCgE,EAAM3O,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EACnCiE,EAAMjI,GAAM,EAAIA,GAAM+D,EAEtBpD,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IAsBd,OApBAiB,EAAQ,GAAKmO,EAAM9G,EAAM+G,EAAM5G,EAAM6G,EAAM1G,EAC3C3H,EAAQ,GAAKmO,EAAM7G,EAAM8G,EAAM3G,EAAM4G,EAAMzG,EAC3C5H,EAAQ,GAAKmO,EAAM5G,EAAM6G,EAAM1G,EAAM2G,EAAMxG,EAC3C7H,EAAQ,GAAKmO,EAAMrD,EAAMsD,EAAMrD,EAAMsD,EAAMrD,EAC3ChL,EAAQ,GAAKsO,EAAMjH,EAAMkH,EAAM/G,EAAMgH,EAAM7G,EAC3C3H,EAAQ,GAAKsO,EAAMhH,EAAMiH,EAAM9G,EAAM+G,EAAM5G,EAC3C5H,EAAQ,GAAKsO,EAAM/G,EAAMgH,EAAM7G,EAAM8G,EAAM3G,EAC3C7H,EAAQ,GAAKsO,EAAMxD,EAAMyD,EAAMxD,EAAMyD,EAAMxD,EAC3ChL,EAAQ,GAAKyO,EAAMpH,EAAMqH,EAAMlH,EAAMmH,EAAMhH,EAC3C3H,EAAQ,GAAKyO,EAAMnH,EAAMoH,EAAMjH,EAAMkH,EAAM/G,EAC3C5H,EAAO,IAAMyO,EAAMlH,EAAMmH,EAAMhH,EAAMiH,EAAM9G,EAC3C7H,EAAO,IAAMyO,EAAM3D,EAAM4D,EAAM3D,EAAM4D,EAAM3D,EAEvCjM,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,CA4HD,MAAO,CACLH,OAp+CF,SACIa,EAAaC,EAAagE,EAAasE,EACvCC,EAAaC,EAAaC,EAAaC,EACvCC,EAAasF,EAAaC,EAAcC,EACxCC,EAAcC,EAAcC,EAAcC,GAC5C,MAAMlP,EAAS,IAAIN,EAAK,IAiDxB,YAhDWO,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAP0E,IACF3E,EAAO,GAAK2E,OACD1E,IAAPgJ,IACFjJ,EAAO,GAAKiJ,OACDhJ,IAAPiJ,IACFlJ,EAAO,GAAKkJ,OACDjJ,IAAPkJ,IACFnJ,EAAO,GAAKmJ,OACDlJ,IAAPmJ,IACFpJ,EAAO,GAAKoJ,OACDnJ,IAAPoJ,IACFrJ,EAAO,GAAKqJ,OACDpJ,IAAPqJ,IACFtJ,EAAO,GAAKsJ,OACDrJ,IAAP2O,IACF5O,EAAO,GAAK4O,OACA3O,IAAR4O,IACF7O,EAAO,IAAM6O,OACD5O,IAAR6O,IACF9O,EAAO,IAAM8O,OACD7O,IAAR8O,IACF/O,EAAO,IAAM+O,OACD9O,IAAR+O,IACFhP,EAAO,IAAMgP,OACD/O,IAARgP,IACFjP,EAAO,IAAMiP,OACDhP,IAARiP,IACFlP,EAAO,IAAMkP,kBAiBtClP,CACR,EA86CCyB,IAr5CF,SACIf,EAAYC,EAAYgE,EAAYsE,EACpCC,EAAYC,EAAYC,EAAYC,EACpCC,EAAYsF,EAAYC,EAAaC,EACrCC,EAAaC,EAAaC,EAAaC,EACvC/O,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKU,EAAMV,EAAQ,GAAKW,EAAMX,EAAQ,GAAK2E,EAAM3E,EAAQ,GAAKiJ,EACtEjJ,EAAQ,GAAKkJ,EAAMlJ,EAAQ,GAAKmJ,EAAMnJ,EAAQ,GAAKoJ,EAAMpJ,EAAQ,GAAKqJ,EACtErJ,EAAQ,GAAKsJ,EAAMtJ,EAAQ,GAAK4O,EAAM5O,EAAO,IAAM6O,EAAM7O,EAAO,IAAM8O,EACtE9O,EAAO,IAAM+O,EAAM/O,EAAO,IAAMgP,EAAMhP,EAAO,IAAMiP,EAAMjP,EAAO,IAAMkP,EAE/DlP,CACR,EAw4CCmP,SAh4CF,SAA+CC,EAAajP,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAI,GAAKpP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAI,GAAKpP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAG,GAAKpP,EAAO,IAAMoP,EAAG,IAAMpP,EAAO,IAAM,EAC7EA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAASA,EAAO,IAAM,EAEtEA,CACR,EAw3CCyJ,SAh3CF,SAA+CpE,EAAYlF,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIuF,EAAE,GAAUtF,EAAIsF,EAAE,GAAUlC,EAAIkC,EAAE,GAAUH,EAAIG,EAAE,GACtDqE,EAAK5J,EAAIA,EAAS6J,EAAK5J,EAAIA,EAAS6J,EAAKzG,EAAIA,EAE7C+C,EAAKpG,EAAI4J,EACTrD,EAAKtG,EAAI2J,EACTpD,EAAKvG,EAAI4J,EACTnD,EAAKrD,EAAIuG,EACTjD,EAAKtD,EAAIwG,EACTjD,EAAKvD,EAAIyG,EACTC,EAAK3E,EAAIwE,EACTI,EAAK5E,EAAIyE,EACTI,EAAK7E,EAAI0E,EAOf,OALA5J,EAAQ,GAAK,EAAIsG,EAAKI,EAAK1G,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAK,EAAIkG,EAAKQ,EAAK1G,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAO,IAAM,EAAIkG,EAAKI,EAAKtG,EAAO,IAAM,EAC9FA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAEvFA,CACR,EA21CCuD,OAn1CF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAClFiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAE3EiB,CACR,EA20CCoB,OACAoC,QACAZ,oBA1yCF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EA0xCCC,OAlxCF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,GACpB,EAkwCCoI,WACA4C,UA1uCF,SAAgDjL,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAyBJ,OAvBAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,IACNA,EAAE,IAAMA,EAAE,IACVA,EAAE,IAAMK,EACDY,CACR,CAED,MAAMqH,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IAOd,OALAiB,EAAQ,GAAKqH,EAAMrH,EAAQ,GAAKwH,EAAMxH,EAAQ,GAAK2H,EAAM3H,EAAQ,GAAKiL,EACtEjL,EAAQ,GAAKsH,EAAMtH,EAAQ,GAAKyH,EAAMzH,EAAQ,GAAK4H,EAAM5H,EAAQ,GAAKkL,EACtElL,EAAQ,GAAKuH,EAAMvH,EAAQ,GAAK0H,EAAM1H,EAAO,IAAM6H,EAAM7H,EAAO,IAAMmL,EACtEnL,EAAO,IAAM8K,EAAM9K,EAAO,IAAM+K,EAAM/K,EAAO,IAAMgL,EAAMhL,EAAO,IAAMoL,EAE/DpL,CACR,EAqrCCO,UACA0J,YAllCF,SAAqBlL,GACnB,MAAMsI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IAERsM,EAAQxD,EAAMuD,EACdE,EAAQH,EAAMH,EACdO,EAAQ7D,EAAM0D,EACdI,EAAQL,EAAMJ,EACdU,EAAQ/D,EAAMsD,EACdU,EAAQ7D,EAAMkD,EACdY,EAAQpE,EAAM6D,EACdQ,EAAQT,EAAML,EACde,EAAQtE,EAAMyD,EACdc,EAAQjE,EAAMiD,EACdiB,EAAQxE,EAAMwD,EACdiB,EAAQtE,EAAMoD,EAWpB,OAAOzD,GATKgE,EAAO5D,EAAM+D,EAAO5D,EAAM6D,EAAOP,GACjCI,EAAO7D,EAAM8D,EAAO3D,EAAM8D,EAAOR,IAQ3B1D,GAPN8D,EAAOhE,EAAMqE,EAAO/D,EAAMkE,EAAOZ,GACjCG,EAAO/D,EAAMsE,EAAOhE,EAAMiE,EAAOX,IAMhBvD,GALjB4D,EAAOjE,EAAMsE,EAAOnE,EAAMsE,EAAQb,GAClCM,EAAOlE,EAAMqE,EAAOlE,EAAMuE,EAAQd,IAIND,GAH5BS,EAAOpE,EAAMuE,EAAOpE,EAAMuE,EAAQpE,GAClC6D,EAAOnE,EAAMwE,EAAOrE,EAAMsE,EAAQnE,GAG/C,EA0iCC3E,SACA5B,WACAoC,MACAyG,eAn9BF,SAAqD9L,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAOiH,IAmBvB,OAlBIhJ,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAO,IAAM5B,EAAE,IACf4B,EAAO,IAAM5B,EAAE,KAEjB4B,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EA+7BC6F,eAt7BF,SAAqD9G,EAAYoB,GAC/D,MAAMH,EAAUG,GAAO+G,EAAKrH,SAI5B,OAHAG,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACR,EAi7BC8F,QAz6BF,SAA8C/G,EAAYgH,EAAc5F,GACtE,MAAMH,EAAUG,GAAO+G,EAAKrH,SACtBmG,EAAa,EAAPD,EAIZ,OAHA/F,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACbhG,CACR,EAm6BCmK,QAz5BF,SAA8CpL,EAAYE,EAAY8G,EAAc5F,GAClF,MAAMH,EAAUG,IAAQpB,EAAKoB,EAAMiB,EAAKrC,EAAGoB,GAErC6F,EAAa,EAAPD,EAIZ,OAHA/F,EAAOgG,EAAM,GAAK/G,EAAE,GACpBe,EAAOgG,EAAM,GAAK/G,EAAE,GACpBe,EAAOgG,EAAM,GAAK/G,EAAE,GACbe,CACR,EAk5BCiG,WA34BF,SAAiDlH,EAAYoB,GAC3D,MAAMH,EAAUG,GAAO+G,EAAKrH,SAEtBqG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPqH,EAAKrH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GACPwH,EAAKxH,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACP2H,EAAK3H,EAAE,IAMb,OAJAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CpG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CvG,EAAO,GAAKpB,KAAKgC,KAAK4F,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAExC1G,CACR,EA03BCqP,YA/1BF,SAAkDC,EAA+BC,EAAgBC,EAAeC,EAActP,GAC5H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgQ,EAAI9Q,KAAK+Q,IAAc,GAAV/Q,KAAKC,GAAW,GAAMyQ,GAoBzC,GAlBAtP,EAAO,GAAM0P,EAAIH,EACjBvP,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM0P,EACb1P,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAET4P,OAAOC,SAASJ,GAAO,CACzB,MAAMK,EAAW,GAAKN,EAAQC,GAC9BzP,EAAO,IAAMyP,EAAOK,EACpB9P,EAAO,IAAMyP,EAAOD,EAAQM,CAC7B,MACC9P,EAAO,KAAO,EACdA,EAAO,KAAOwP,EAGhB,OAAOxP,CACR,EA+zBC+P,oBAzyBC,SAA0DT,EAA+BC,EAAgBC,EAAeC,EAAOO,IAAU7P,GAC1I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgQ,EAAI,EAAI9Q,KAAK+Q,IAA4B,GAAxBL,GAoBvB,GAlBAtP,EAAQ,GAAK0P,EAAIH,EACjBvP,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAK0P,EACb1P,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETyP,IAASO,IACXhQ,EAAO,IAAM,EACbA,EAAO,IAAMwP,MACR,CACL,MAAMM,EAAW,GAAKL,EAAOD,GAC7BxP,EAAO,IAAMwP,EAAQM,EACrB9P,EAAO,IAAMyP,EAAOD,EAAQM,CAC7B,CAED,OAAO9P,CACR,EAywBCiQ,MAxvBF,SAA4CC,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAapQ,GAC/H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAO,GAAM,GAAKmQ,EAAQD,GAC1BlQ,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,GAAKqQ,EAAMD,GACxBpQ,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,IAAM,GAAKsQ,EAAOC,GACzBvQ,EAAO,IAAM,EAEbA,EAAO,KAAOmQ,EAAQD,IAASA,EAAOC,GACtCnQ,EAAO,KAAOqQ,EAAMD,IAAWA,EAASC,GACxCrQ,EAAO,IAAMsQ,GAAQA,EAAOC,GAC5BvQ,EAAO,IAAM,EAENA,CACR,EAiuBCwQ,QA7sBF,SAA8CN,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAapQ,GACjI,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMoP,EAAQD,EACdlP,EAAMqP,EAAMD,EACZxL,EAAM0L,EAAOC,EAmBnB,OAjBAvQ,EAAQ,GAAK,EAAIsQ,EAAOvP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIsQ,EAAOtP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMkQ,EAAOC,GAASpP,EAC9Bf,EAAQ,IAAMqQ,EAAMD,GAAUpP,EAC9BhB,EAAO,IAAMuQ,EAAM3L,EACnB5E,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAMsQ,EAAOC,EAAM3L,EAC1B5E,EAAO,IAAM,EAENA,CACR,EAqrBCyQ,gBAjqBF,SAAsDP,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAMP,IAAU7P,GAC5I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMoP,EAAQD,EACdlP,EAAMqP,EAAMD,EAiBlB,GAfApQ,EAAQ,GAAK,EAAIsQ,EAAOvP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIsQ,EAAOtP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMkQ,EAAOC,GAASpP,EAC9Bf,EAAQ,IAAMqQ,EAAMD,GAAUpP,EAC9BhB,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETuQ,IAAQP,IACVhQ,EAAO,IAAM,EACbA,EAAO,IAAMsQ,MACR,CACL,MAAMR,EAAW,GAAKS,EAAMD,GAC5BtQ,EAAO,IAAMsQ,EAAOR,EACpB9P,EAAO,IAAMuQ,EAAMD,EAAOR,CAC3B,CAED,OAAO9P,CACR,EAmoBC0Q,IA/mBF,SAA0CC,EAAmBC,EAAiBC,EAAa1Q,GACzF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAwH,EAAKhG,UAAUgG,EAAKhH,SAAS0Q,EAAQD,EAAU5C,GAAQA,GACvD7G,EAAKhG,UAAUgG,EAAKhE,MAAM2N,EAAI9C,EAAOF,GAAQA,GAC7C3G,EAAKhG,UAAUgG,EAAKhE,MAAM6K,EAAOF,EAAOC,GAAQA,GAEhD9N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAO,IAAM+N,EAAM,GAAQ/N,EAAO,IAAM,EAC9FA,EAAO,IAAM2Q,EAAS,GAAK3Q,EAAO,IAAM2Q,EAAS,GAAK3Q,EAAO,IAAM2Q,EAAS,GAAK3Q,EAAO,IAAM,EAEvFA,CACR,EAmmBC8Q,UAnlBF,SAAgDC,EAAcH,EAAiBC,EAAa1Q,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAwH,EAAKhG,UAAUgG,EAAKhH,SAAS6Q,EAAKH,EAAQ7C,GAAQA,GAClD7G,EAAKhG,UAAUgG,EAAKhE,MAAM2N,EAAI9C,EAAOF,GAAQA,GAC7C3G,EAAKhG,UAAUgG,EAAKhE,MAAM6K,EAAOF,EAAOC,GAAQA,GAEhD9N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAO,IAAM+N,EAAM,GAAQ/N,EAAO,IAAM,EAC9FA,EAAO,IAAM+Q,EAAI,GAAK/Q,EAAO,IAAM+Q,EAAI,GAAK/Q,EAAO,IAAM+Q,EAAI,GAAK/Q,EAAO,IAAM,EAExEA,CACR,EAukBCgR,OAzjBF,SAA6CD,EAAcH,EAAiBC,EAAa1Q,GACvF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAehC,OAbAwH,EAAKhG,UAAUgG,EAAKhH,SAAS6Q,EAAKH,EAAQ7C,GAAQA,GAClD7G,EAAKhG,UAAUgG,EAAKhE,MAAM2N,EAAI9C,EAAOF,GAAQA,GAC7C3G,EAAKhG,UAAUgG,EAAKhE,MAAM6K,EAAOF,EAAOC,GAAQA,GAEhD9N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK+N,EAAM,GAAK/N,EAAQ,GAAK,EACrFA,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK+N,EAAM,GAAK/N,EAAQ,GAAK,EACrFA,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAO,IAAM+N,EAAM,GAAK/N,EAAO,IAAM,EAErFA,EAAO,MAAQ6N,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,IACtE/Q,EAAO,MAAQ8N,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,IACtE/Q,EAAO,MAAQ+N,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,IACtE/Q,EAAO,IAAM,EAENA,CACR,EAyiBCqK,YAhiBF,SAAkDpL,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EACzEA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EAElEA,CACR,EAwhBCsK,UA9gBF,SAAgDvL,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPoI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IAsBd,OApBIA,IAAMiB,IACRA,EAAQ,GAAKqH,EACbrH,EAAQ,GAAKsH,EACbtH,EAAQ,GAAKuH,EACbvH,EAAQ,GAAK8K,EACb9K,EAAQ,GAAKwH,EACbxH,EAAQ,GAAKyH,EACbzH,EAAQ,GAAK0H,EACb1H,EAAQ,GAAK+K,EACb/K,EAAQ,GAAK2H,EACb3H,EAAQ,GAAK4H,EACb5H,EAAO,IAAM6H,EACb7H,EAAO,IAAMgL,GAGfhL,EAAO,IAAMqH,EAAM3G,EAAK8G,EAAM7G,EAAKgH,EAAMhD,EAAKsG,EAC9CjL,EAAO,IAAMsH,EAAM5G,EAAK+G,EAAM9G,EAAKiH,EAAMjD,EAAKuG,EAC9ClL,EAAO,IAAMuH,EAAM7G,EAAKgH,EAAM/G,EAAKkH,EAAMlD,EAAKwG,EAC9CnL,EAAO,IAAM8K,EAAMpK,EAAKqK,EAAMpK,EAAKqK,EAAMrG,EAAKyG,EAEvCpL,CACR,EAmeCiR,UA3dF,SAAgDzG,EAAwBrK,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAOnB,OALAxK,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAMyK,EAAIzK,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,IAAM0K,EAAI1K,EAAO,IAAMyK,EAAIzK,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAgdC2G,QAtcF,SAA8C5H,EAAYyL,EAAwBrK,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B8H,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAsBnB,OApBAxK,EAAO,GAAMyK,EAAIjD,EAAMkD,EAAI/C,EAC3B3H,EAAO,GAAMyK,EAAIhD,EAAMiD,EAAI9C,EAC3B5H,EAAO,GAAMyK,EAAI/C,EAAMgD,EAAI7C,EAC3B7H,EAAO,GAAMyK,EAAIM,EAAML,EAAIM,EAC3BhL,EAAO,GAAMyK,EAAI9C,EAAM+C,EAAIlD,EAC3BxH,EAAO,GAAMyK,EAAI7C,EAAM8C,EAAIjD,EAC3BzH,EAAO,IAAMyK,EAAI5C,EAAM6C,EAAIhD,EAC3B1H,EAAO,IAAMyK,EAAIO,EAAMN,EAAIK,EAEvBhM,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAoaCkR,UA5ZF,SAAgD1G,EAAwBrK,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAOnB,OALAxK,EAAQ,GAAKyK,EAAIzK,EAAQ,GAAK,EAAIA,EAAQ,IAAM0K,EAAI1K,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAO,IAAOyK,EAAIzK,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAiZC8G,QAvYF,SAA8C/H,EAAYyL,EAAwBrK,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAsBnB,OApBAxK,EAAQ,GAAKyK,EAAIpD,EAAMqD,EAAI/C,EAC3B3H,EAAQ,GAAKyK,EAAInD,EAAMoD,EAAI9C,EAC3B5H,EAAQ,GAAKyK,EAAIlD,EAAMmD,EAAI7C,EAC3B7H,EAAQ,GAAKyK,EAAIK,EAAMJ,EAAIM,EAC3BhL,EAAQ,GAAKyK,EAAI9C,EAAM+C,EAAIrD,EAC3BrH,EAAQ,GAAKyK,EAAI7C,EAAM8C,EAAIpD,EAC3BtH,EAAO,IAAMyK,EAAI5C,EAAM6C,EAAInD,EAC3BvH,EAAO,IAAMyK,EAAIO,EAAMN,EAAII,EAEvB/L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAqWCmR,UA7VF,SAAgD3G,EAAwBrK,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAOnB,OALAxK,EAAQ,GAAMyK,EAAIzK,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,IAAM0K,EAAI1K,EAAQ,GAAKyK,EAAIzK,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EACjEA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAkVC+G,QAxUF,SAA8ChI,EAAYyL,EAAwBrK,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAsBnB,OApBAxK,EAAQ,GAAKyK,EAAIpD,EAAMqD,EAAIlD,EAC3BxH,EAAQ,GAAKyK,EAAInD,EAAMoD,EAAIjD,EAC3BzH,EAAQ,GAAKyK,EAAIlD,EAAMmD,EAAIhD,EAC3B1H,EAAQ,GAAKyK,EAAIK,EAAMJ,EAAIK,EAC3B/K,EAAQ,GAAKyK,EAAIjD,EAAMkD,EAAIrD,EAC3BrH,EAAQ,GAAKyK,EAAIhD,EAAMiD,EAAIpD,EAC3BtH,EAAQ,GAAKyK,EAAI/C,EAAMgD,EAAInD,EAC3BvH,EAAQ,GAAKyK,EAAIM,EAAML,EAAII,EAEvB/L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAsSCgO,eACAzD,SA5OeyD,EA6OfE,aACAjK,OAzJaiK,EA0JbvD,QA/IF,SAA8C1L,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EACzEA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAElEA,CACR,EAuICkC,MA3HF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GAsBb,OApBAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAK2E,EAAK5F,EAAE,GACpBiB,EAAQ,GAAK2E,EAAK5F,EAAE,GACpBiB,EAAO,IAAM2E,EAAK5F,EAAE,IACpBiB,EAAO,IAAM2E,EAAK5F,EAAE,IAEhBA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAgGC4K,eAxFF,SAAqDF,EAAWvK,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM0K,EAAI1K,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,EAgFC6K,aAvEF,SAAmD9L,EAAY2L,EAAWvK,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAO,IAAM0K,EAAI3L,EAAE,IACnBiB,EAAO,IAAM0K,EAAI3L,EAAE,IAEfA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAkDD,CAUU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC9uBA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAj3BJ,SAA6DD,GAC3D,MAAMwH,EAAOC,EAAqBzH,GAUpC,SAASG,EAAOC,EAAYC,EAAYoD,EAAY+B,GAClD,MAAMlF,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANiF,IACFlF,EAAO,GAAKkF,MAKblF,CACR,CAUD,MAAMwB,EAAa3B,EAiCnB,SAASuR,EAA4CrL,EAAeyE,EAAwBrK,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EACZE,EAAI9L,KAAKiF,IAAIwN,GAOnB,OALArR,EAAO,GAAK0K,EAAI3E,EAAK,GACrB/F,EAAO,GAAK0K,EAAI3E,EAAK,GACrB/F,EAAO,GAAK0K,EAAI3E,EAAK,GACrB/F,EAAO,GAAKpB,KAAKgF,IAAIyN,GAEdrR,CACR,CA6CD,SAASqB,EAAuCjD,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPyG,EAAKzG,EAAE,GACPkT,EAAKlT,EAAE,GAEPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACP8F,EAAK9F,EAAE,GACPuS,EAAKvS,EAAE,GAOb,OALAgB,EAAO,GAAKoC,EAAKmP,EAAKD,EAAKhP,EAAKD,EAAKyC,EAAKD,EAAKtC,EAC/CvC,EAAO,GAAKqC,EAAKkP,EAAKD,EAAK/O,EAAKsC,EAAKvC,EAAKF,EAAK0C,EAC/C9E,EAAO,GAAK6E,EAAK0M,EAAKD,EAAKxM,EAAK1C,EAAKG,EAAKF,EAAKC,EAC/CtC,EAAO,GAAKsR,EAAKC,EAAKnP,EAAKE,EAAKD,EAAKE,EAAKsC,EAAKC,EAExC9E,CACR,CAUD,MAAMyD,EAAMpC,EA+FZ,SAASmQ,EAAoCpT,EAAYY,EAAYI,EAAWe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPyG,EAAKzG,EAAE,GACPkT,EAAKlT,EAAE,GAEb,IAeIqT,EACAC,EAhBApP,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACP8F,EAAK9F,EAAE,GACPuS,EAAKvS,EAAE,GAEP2S,EAAWvP,EAAKE,EAAKD,EAAKE,EAAKsC,EAAKC,EAAKwM,EAAKC,EAalD,GAXII,EAAW,IACbA,GAAYA,EACZrP,GAAMA,EACNC,GAAMA,EACNuC,GAAMA,EACNyM,GAAMA,GAMJ,EAAMI,EAAW9O,EAAe,CAClC,MAAM+O,EAAQhT,KAAK8D,KAAKiP,GAClBE,EAAWjT,KAAKiF,IAAI+N,GAC1BH,EAAS7S,KAAKiF,KAAK,EAAIzE,GAAKwS,GAASC,EACrCH,EAAS9S,KAAKiF,IAAIzE,EAAIwS,GAASC,CAChC,MACCJ,EAAS,EAAMrS,EACfsS,EAAStS,EAQX,OALAY,EAAO,GAAKyR,EAASrP,EAAKsP,EAASpP,EACnCtC,EAAO,GAAKyR,EAASpP,EAAKqP,EAASnP,EACnCvC,EAAO,GAAKyR,EAAS5M,EAAK6M,EAAS5M,EACnC9E,EAAO,GAAKyR,EAASH,EAAKI,EAASH,EAE5BvR,CACR,CAmMD,SAASoB,EAAmCiE,EAAYlF,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKqF,EAAE,GACdrF,EAAO,GAAKqF,EAAE,GACdrF,EAAO,GAAKqF,EAAE,GACdrF,EAAO,GAAKqF,EAAE,GAEPrF,CACR,CASD,MAAMwD,EAAQpC,EA2Bd,SAASlB,EAAuC9B,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CASD,MAAM2C,EAAMzC,EASZ,SAASG,EAAwCpB,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CASD,MAAMkC,EAAQ7B,EA0Bd,SAASG,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,CA4BD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,EACrD,CAOD,MAAM9H,EAAMV,EAOZ,SAASI,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,CAC3C,CAOD,MAAM7F,EAAQvC,EAQd,SAASK,EAAwCjC,EAAYkB,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,GAczD,OAZI9H,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK2E,EAAKxD,EACjBnB,EAAO,GAAKiJ,EAAK9H,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAyCD,MAAM8R,EAAW5K,EAAKrH,SAChBkS,EAAY7K,EAAKrH,SACjBmS,EAAY9K,EAAKrH,SA2CjBoS,EAAY,IAAIvS,EAAK,GACrBwS,EAAY,IAAIxS,EAAK,GA4B3B,MAAO,CACLG,SACA2B,aACAC,IA7vBF,SAA2C3B,EAAWC,EAAWoD,EAAW+B,EAAW/E,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKkF,EAELlF,CACR,EAqvBCoR,gBACAe,YAvtBF,SAAmD9M,EAAYlF,GAC7D,MAAMH,EAAUG,GAAO+G,EAAKrH,OAAO,GAE7BsC,EAA0B,EAAlBvD,KAAK8D,KAAK2C,EAAE,IACpBqF,EAAI9L,KAAKiF,IAAY,GAAR1B,GAWnB,OAVIuI,EAAI7H,GACN7C,EAAO,GAAKqF,EAAE,GAAKqF,EACnB1K,EAAO,GAAKqF,EAAE,GAAKqF,EACnB1K,EAAO,GAAKqF,EAAE,GAAKqF,IAEnB1K,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGP,CAAEmC,QAAO4D,KAAM/F,EACvB,EAwsBCmC,MAhsBF,SAAe/D,EAAYY,GACzB,MAAME,EAAIsB,EAAIpC,EAAGY,GACjB,OAAOJ,KAAK8D,KAAK,EAAIxD,EAAIA,EAAI,EAC9B,EA8rBCmC,WACAoC,MACAkD,QAhpBF,SAA+CtB,EAAYmF,EAAwBrK,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EAEZlF,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACP+M,EAAK/M,EAAE,GAEP/C,EAAK1D,KAAKiF,IAAIwN,GACdE,EAAK3S,KAAKgF,IAAIyN,GAOpB,OALArR,EAAO,GAAKsF,EAAKiM,EAAKa,EAAK9P,EAC3BtC,EAAO,GAAKuF,EAAKgM,EAAK/L,EAAKlD,EAC3BtC,EAAO,GAAKwF,EAAK+L,EAAKhM,EAAKjD,EAC3BtC,EAAO,GAAKoS,EAAKb,EAAKjM,EAAKhD,EAEpBtC,CACR,EA8nBC8G,QArnBF,SAA+CzB,EAAYmF,EAAwBrK,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EAEZlF,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACP+M,EAAK/M,EAAE,GAEP9C,EAAK3D,KAAKiF,IAAIwN,GACdE,EAAK3S,KAAKgF,IAAIyN,GAOpB,OALArR,EAAO,GAAKsF,EAAKiM,EAAK/L,EAAKjD,EAC3BvC,EAAO,GAAKuF,EAAKgM,EAAKa,EAAK7P,EAC3BvC,EAAO,GAAKwF,EAAK+L,EAAKjM,EAAK/C,EAC3BvC,EAAO,GAAKoS,EAAKb,EAAKhM,EAAKhD,EAEpBvC,CACR,EAmmBC+G,QA1lBF,SAA+C1B,EAAYmF,EAAwBrK,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EAEZlF,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACP+M,EAAK/M,EAAE,GAEPP,EAAKlG,KAAKiF,IAAIwN,GACdE,EAAK3S,KAAKgF,IAAIyN,GAOpB,OALArR,EAAO,GAAKsF,EAAKiM,EAAKhM,EAAKT,EAC3B9E,EAAO,GAAKuF,EAAKgM,EAAKjM,EAAKR,EAC3B9E,EAAO,GAAKwF,EAAK+L,EAAKa,EAAKtN,EAC3B9E,EAAO,GAAKoS,EAAKb,EAAK/L,EAAKV,EAEpB9E,CACR,EAwkBCwR,QACAjR,QA5gBF,SAA+C8E,EAAYlF,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2S,EAAKhN,EAAE,GACPiN,EAAKjN,EAAE,GACPkN,EAAKlN,EAAE,GACPmN,EAAKnN,EAAE,GAEP7E,EAAM6R,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EACzCC,EAASjS,EAAM,EAAIA,EAAM,EAO/B,OALAR,EAAO,IAAMqS,EAAKI,EAClBzS,EAAO,IAAMsS,EAAKG,EAClBzS,EAAO,IAAMuS,EAAKE,EAClBzS,EAAO,GAAMwS,EAAKC,EAEXzS,CACR,EA4fC0S,UAjfF,SAAiDrN,EAAYlF,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMqF,EAAE,GACfrF,EAAO,IAAMqF,EAAE,GACfrF,EAAO,IAAMqF,EAAE,GACfrF,EAAO,GAAMqF,EAAE,GAERrF,CACR,EAyeC2S,QA9dF,SAA+C5T,EAAsBoB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAc1BkT,EAAQ7T,EAAE,GAAKA,EAAE,GAAKA,EAAE,IAE9B,GAAI6T,EAAQ,EAAK,CAEf,MAAMC,EAAOjU,KAAKgC,KAAKgS,EAAQ,GAC/B5S,EAAO,GAAK,GAAM6S,EAClB,MAAMC,EAAU,GAAMD,EAEtB7S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM+T,EAC5B9S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM+T,EAC5B9S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM+T,CAC7B,KAAM,CAEL,IAAIC,EAAI,EAEJhU,EAAE,GAAKA,EAAE,KACXgU,EAAI,GAEFhU,EAAE,IAAMA,EAAM,EAAJgU,EAAQA,KACpBA,EAAI,GAGN,MAAMC,GAAKD,EAAI,GAAK,EACdzS,GAAKyS,EAAI,GAAK,EAEdF,EAAOjU,KAAKgC,KAAK7B,EAAM,EAAJgU,EAAQA,GAAKhU,EAAM,EAAJiU,EAAQA,GAAKjU,EAAM,EAAJuB,EAAQA,GAAK,GACpEN,EAAO+S,GAAK,GAAMF,EAElB,MAAMC,EAAU,GAAMD,EAEtB7S,EAAO,IAAMjB,EAAM,EAAJiU,EAAQ1S,GAAKvB,EAAM,EAAJuB,EAAQ0S,IAAMF,EAC5C9S,EAAOgT,IAAMjU,EAAM,EAAJiU,EAAQD,GAAKhU,EAAM,EAAJgU,EAAQC,IAAMF,EAC5C9S,EAAOM,IAAMvB,EAAM,EAAJuB,EAAQyS,GAAKhU,EAAM,EAAJgU,EAAQzS,IAAMwS,CAC7C,CAED,OAAO9S,CACR,EA4aCiT,UAhaF,SACIC,EACAC,EACAC,EACAC,EACAlT,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B4T,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EAEbK,EAAK7U,KAAKiF,IAAIyP,GACdI,EAAK9U,KAAKgF,IAAI0P,GACdK,EAAK/U,KAAKiF,IAAI0P,GACdK,EAAKhV,KAAKgF,IAAI2P,GACdM,EAAKjV,KAAKiF,IAAI2P,GACdM,EAAKlV,KAAKgF,IAAI4P,GAEpB,OAAQH,GACN,IAAK,MACHrT,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,QACE,MAAM,IAAIE,MAAM,2BAA2BV,KAG/C,OAAOrT,CACR,EA8VCoB,OACAoC,QACAxB,IA5TF,SAA2C5D,EAAYY,EAAYmB,GACjE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EAoTCE,WACAyC,MACAtC,YACA6B,QACAc,UAzPF,SAAiD/D,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAiPCQ,MACAJ,KA5NF,SAA4ChC,EAAYY,EAAYI,EAAWe,GAC7E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,EAoNCS,SACAU,MACAN,WACAuC,QACAlC,YACA0B,oBA3IF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAuICC,OA/HF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA8HCoI,SAvHF,SAAgDjH,GAC9C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA+GCgU,WAjGF,SAAkDC,EAAgBC,EAAgB/T,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1Bc,EAAM0G,EAAK1G,IAAIyT,EAAOC,GAC5B,OAAI1T,GAAO,SACT0G,EAAKhE,MAAM6O,EAAWkC,EAAOnC,GACzB5K,EAAK/F,IAAI2Q,GAAY,MACvB5K,EAAKhE,MAAM8O,EAAWiC,EAAOnC,GAG/B5K,EAAKhG,UAAU4Q,EAAUA,GACzBV,EAAcU,EAAUlT,KAAKC,GAAImB,GAE1BA,GACEQ,EAAM,SACfR,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,IAEPkH,EAAKhE,MAAM+Q,EAAOC,EAAOpC,GAEzB9R,EAAO,GAAK8R,EAAS,GACrB9R,EAAO,GAAK8R,EAAS,GACrB9R,EAAO,GAAK8R,EAAS,GACrB9R,EAAO,GAAK,EAAIQ,EAETU,EAAUlB,EAAQA,GAE5B,EAmECmU,OApDF,SACI/V,EACAY,EACAyL,EACAvL,EACAE,EACAe,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJA8R,EAAMpT,EAAGc,EAAGE,EAAG6S,GACfT,EAAMxS,EAAGyL,EAAGrL,EAAG8S,GACfV,EAAMS,EAAWC,EAAW,EAAI9S,GAAK,EAAIA,GAAIY,GAEtCA,CACR,EAyCD,CA+BU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCnKA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAlvBJ,SAA4DD,GAU5D,SAASG,EAAOC,EAAYC,EAAYoD,EAAY+B,GAClD,MAAMlF,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANiF,IACFlF,EAAO,GAAKkF,MAKblF,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAsED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAmCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAyBD,SAASS,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,EACrD,CAcD,SAASpI,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,CAC3C,CAeD,SAASnI,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACdoV,EAAKhW,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,EAAKwP,EAAKA,EACrD,CAgBD,SAASnT,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACdoV,EAAKhW,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,EAAKwP,EAAKA,CAC3C,CAgBD,SAASlT,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,GAczD,OAZI9H,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK2E,EAAKxD,EACjBnB,EAAO,GAAKiJ,EAAK9H,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CA0BD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4DD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WApoBiB3B,EAqoBjB4B,IAxnBF,SAA0C3B,EAAWC,EAAWoD,EAAW+B,EAAW/E,GACpF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKkF,EAELlF,CACR,EAgnBC0B,KAxmBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAgmBC2B,MAxlBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EAglBC4B,MAxkBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EAgkBC6B,MAtjBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA8iBCgC,IAriBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6hBCiC,UAnhBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA2gBCE,WACAyC,IAjfUzC,EAkfV0C,oBA1eF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAseCC,OA9dF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA6dCoB,OACA2C,MA7bF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAqbC+B,IA1aF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAkaC8B,IAvZF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA+YCK,YACA6B,MArXY7B,EAsXZ2C,UA7WF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAqWCO,UACA0C,OA7Ua1C,EA8UbC,IAtUF,SAAapC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,EAqUCyB,SACAU,IAlTUV,EAmTVI,WACAuC,MAhSYvC,EAiSZC,WACAuC,KA5QWvC,EA6QXG,aACAqC,OAxParC,EAyPbC,YACAqC,OApNF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA4MCoB,OACAoC,MAlLYpC,EAmLZC,WACAoC,IAvJUpC,EAwJVC,SACAoC,IA5HUpC,EA6HVwC,KAtHF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA8GC+D,cApGF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNiG,EAAIjG,EAAE,GAOZ,OALAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMmG,EACtDlF,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMmG,EACtDlF,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMmG,EACtDlF,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMmG,EAE/ClF,CACR,EAuFCuB,YACAgD,SAjEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA0DCyE,SAjDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAgDD,CA+BUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC3tBA,SAAS0U,EAQLC,EACAC,EACAC,EACAC,EACAC,EACAC,GAEF,MAAO,CAELC,KAAMC,EAAiBP,GAEvBQ,KAAMC,EAAiBR,GAEvBS,KAAMC,EAAiBT,GAEvBxN,KAAMC,EAAiBwN,GAEvBvN,KAAMC,EAAiBuN,GAEvBQ,KAAMC,EAAiBR,GAE3B,CAEa,MAAAC,KAKXA,EAAIE,KAKJA,EAAIE,KAKJA,EAAIhO,KAKJA,EAAIE,KAKJA,EAAIgO,KAKJA,GACEb,EAEAe,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxER,KAAMS,EAKNP,KAAMQ,EAKNN,KAAMO,EAKNvO,KAAMwO,EAKNtO,KAAMuO,EAKNP,KAAMQ,GACJrB,EAEAsB,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxEf,KAAMgB,EAKNd,KAAMe,EAKNb,KAAMc,EAKN9O,KAAM+O,EAKN7O,KAAM8O,EAKNd,KAAMe,GACJ5B,EAEApW,EAAWiY,MAAOA,MAAOA,MAAOA,MAAOA"} \ No newline at end of file diff --git a/dist/3.x/wgpu-matrix.module.js b/dist/3.x/wgpu-matrix.module.js index a6c0e49..cdecacb 100644 --- a/dist/3.x/wgpu-matrix.module.js +++ b/dist/3.x/wgpu-matrix.module.js @@ -1,4 +1,4 @@ -/* wgpu-matrix@3.0.3, license MIT */ +/* wgpu-matrix@3.1.0, license MIT */ function wrapConstructor(OriginalConstructor, modifier) { return class extends OriginalConstructor { constructor(...args) { @@ -824,1405 +824,1378 @@ function getAPI$5(Ctor) { * DEALINGS IN THE SOFTWARE. */ /** - * Generates a typed API for Mat3 + * Generates am typed API for Vec3 * */ function getAPIImpl$4(Ctor) { - const vec2 = getAPI$5(Ctor); /** - * Create a Mat3 from values - * - * Note: Since passing in a raw JavaScript array - * is valid in all circumstances, if you want to - * force a JavaScript array into a Mat3's specified type - * it would be faster to use - * - * ``` - * const m = mat3.clone(someJSArray); - * ``` - * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @returns matrix created from values. + * Creates a vec3; may be called with x, y, z to set initial values. + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector */ - function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { - const newDst = new Ctor(12); - // to make the array homogenous - newDst[3] = 0; - newDst[7] = 0; - newDst[11] = 0; - if (v0 !== undefined) { - newDst[0] = v0; - if (v1 !== undefined) { - newDst[1] = v1; - if (v2 !== undefined) { - newDst[2] = v2; - if (v3 !== undefined) { - newDst[4] = v3; - if (v4 !== undefined) { - newDst[5] = v4; - if (v5 !== undefined) { - newDst[6] = v5; - if (v6 !== undefined) { - newDst[8] = v6; - if (v7 !== undefined) { - newDst[9] = v7; - if (v8 !== undefined) { - newDst[10] = v8; - } - } - } - } - } - } + function create(x, y, z) { + const newDst = new Ctor(3); + if (x !== undefined) { + newDst[0] = x; + if (y !== undefined) { + newDst[1] = y; + if (z !== undefined) { + newDst[2] = z; } } } return newDst; } /** - * Sets the values of a Mat3 - * Also see {@link mat3.create} and {@link mat3.copy} + * Creates a vec3; may be called with x, y, z to set initial values. (same as create) + * @param x - Initial x value. + * @param y - Initial y value. + * @param z - Initial z value. + * @returns the created vector + */ + const fromValues = create; + /** + * Sets the values of a Vec3 + * Also see {@link vec3.create} and {@link vec3.copy} * - * @param v0 - value for element 0 - * @param v1 - value for element 1 - * @param v2 - value for element 2 - * @param v3 - value for element 3 - * @param v4 - value for element 4 - * @param v5 - value for element 5 - * @param v6 - value for element 6 - * @param v7 - value for element 7 - * @param v8 - value for element 8 - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 set from values. + * @param x first value + * @param y second value + * @param z third value + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector with its elements set. */ - function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = v0; - newDst[1] = v1; - newDst[2] = v2; - newDst[3] = 0; - newDst[4] = v3; - newDst[5] = v4; - newDst[6] = v5; - newDst[7] = 0; - newDst[8] = v6; - newDst[9] = v7; - newDst[10] = v8; - newDst[11] = 0; + function set(x, y, z, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = x; + newDst[1] = y; + newDst[2] = z; return newDst; } /** - * Creates a Mat3 from the upper left 3x3 part of a Mat4 - * @param m4 - source matrix - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 made from m4 + * Applies Math.ceil to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the ceil of each element of v. */ - function fromMat4(m4, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = m4[0]; - newDst[1] = m4[1]; - newDst[2] = m4[2]; - newDst[3] = 0; - newDst[4] = m4[4]; - newDst[5] = m4[5]; - newDst[6] = m4[6]; - newDst[7] = 0; - newDst[8] = m4[8]; - newDst[9] = m4[9]; - newDst[10] = m4[10]; - newDst[11] = 0; + function ceil(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.ceil(v[0]); + newDst[1] = Math.ceil(v[1]); + newDst[2] = Math.ceil(v[2]); return newDst; } /** - * Creates a Mat3 rotation matrix from a quaternion - * @param q - quaternion to create matrix from - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns Mat3 made from q + * Applies Math.floor to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the floor of each element of v. */ - function fromQuat(q, dst) { - const newDst = (dst ?? new Ctor(12)); - const x = q[0]; - const y = q[1]; - const z = q[2]; - const w = q[3]; - const x2 = x + x; - const y2 = y + y; - const z2 = z + z; - const xx = x * x2; - const yx = y * x2; - const yy = y * y2; - const zx = z * x2; - const zy = z * y2; - const zz = z * z2; - const wx = w * x2; - const wy = w * y2; - const wz = w * z2; - newDst[0] = 1 - yy - zz; - newDst[1] = yx + wz; - newDst[2] = zx - wy; - newDst[3] = 0; - newDst[4] = yx - wz; - newDst[5] = 1 - xx - zz; - newDst[6] = zy + wx; - newDst[7] = 0; - newDst[8] = zx + wy; - newDst[9] = zy - wx; - newDst[10] = 1 - xx - yy; - newDst[11] = 0; + function floor(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.floor(v[0]); + newDst[1] = Math.floor(v[1]); + newDst[2] = Math.floor(v[2]); return newDst; } /** - * Negates a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns -m. + * Applies Math.round to each element of vector + * @param v - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the round of each element of v. */ - function negate(m, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = -m[0]; - newDst[1] = -m[1]; - newDst[2] = -m[2]; - newDst[4] = -m[4]; - newDst[5] = -m[5]; - newDst[6] = -m[6]; - newDst[8] = -m[8]; - newDst[9] = -m[9]; - newDst[10] = -m[10]; + function round(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.round(v[0]); + newDst[1] = Math.round(v[1]); + newDst[2] = Math.round(v[2]); return newDst; } /** - * Copies a matrix. (same as {@link mat3.clone}) - * Also see {@link mat3.create} and {@link mat3.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. + * Clamp each element of vector between min and max + * @param v - Operand vector. + * @param max - Min value, default 0 + * @param min - Max value, default 1 + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that the clamped value of each element of v. */ - function copy(m, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = m[0]; - newDst[1] = m[1]; - newDst[2] = m[2]; - newDst[4] = m[4]; - newDst[5] = m[5]; - newDst[6] = m[6]; - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; + function clamp(v, min = 0, max = 1, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(max, Math.max(min, v[0])); + newDst[1] = Math.min(max, Math.max(min, v[1])); + newDst[2] = Math.min(max, Math.max(min, v[2])); return newDst; } /** - * Copies a matrix (same as {@link mat3.copy}) - * Also see {@link mat3.create} and {@link mat3.set} - * @param m - The matrix. - * @param dst - The matrix. If not passed a new one is created. - * @returns A copy of m. + * Adds two vectors; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a and b. */ - const clone = copy; + function add(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0]; + newDst[1] = a[1] + b[1]; + newDst[2] = a[2] + b[2]; + return newDst; + } /** - * Check if 2 matrices are approximately equal - * @param a Operand matrix. - * @param b Operand matrix. - * @returns true if matrices are approximately equal + * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * @param a - Operand vector. + * @param b - Operand vector. + * @param scale - Amount to scale b + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the sum of a + b * scale. + */ + function addScaled(a, b, scale, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + b[0] * scale; + newDst[1] = a[1] + b[1] * scale; + newDst[2] = a[2] + b[2] * scale; + return newDst; + } + /** + * Returns the angle in radians between two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns The angle in radians between the 2 vectors. + */ + function angle(a, b) { + const ax = a[0]; + const ay = a[1]; + const az = a[2]; + const bx = b[0]; + const by = b[1]; + const bz = b[2]; + const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); + const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); + const mag = mag1 * mag2; + const cosine = mag && dot(a, b) / mag; + return Math.acos(cosine); + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + function subtract(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] - b[0]; + newDst[1] = a[1] - b[1]; + newDst[2] = a[2] - b[2]; + return newDst; + } + /** + * Subtracts two vectors. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns A vector that is the difference of a and b. + */ + const sub = subtract; + /** + * Check if 2 vectors are approximately equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are approximately equal */ function equalsApproximately(a, b) { return Math.abs(a[0] - b[0]) < EPSILON && Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON && - Math.abs(a[4] - b[4]) < EPSILON && - Math.abs(a[5] - b[5]) < EPSILON && - Math.abs(a[6] - b[6]) < EPSILON && - Math.abs(a[8] - b[8]) < EPSILON && - Math.abs(a[9] - b[9]) < EPSILON && - Math.abs(a[10] - b[10]) < EPSILON; + Math.abs(a[2] - b[2]) < EPSILON; } /** - * Check if 2 matrices are exactly equal - * @param a Operand matrix. - * @param b Operand matrix. - * @returns true if matrices are exactly equal + * Check if 2 vectors are exactly equal + * @param a - Operand vector. + * @param b - Operand vector. + * @returns true if vectors are exactly equal */ function equals(a, b) { - return a[0] === b[0] && - a[1] === b[1] && - a[2] === b[2] && - a[4] === b[4] && - a[5] === b[5] && - a[6] === b[6] && - a[8] === b[8] && - a[9] === b[9] && - a[10] === b[10]; + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; } /** - * Creates a 3-by-3 identity matrix. - * - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns A 3-by-3 identity matrix. + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficient. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The linear interpolated result. */ - function identity(dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = 1; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = 1; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; + function lerp(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t * (b[0] - a[0]); + newDst[1] = a[1] + t * (b[1] - a[1]); + newDst[2] = a[2] + t * (b[2] - a[2]); return newDst; } /** - * Takes the transpose of a matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The transpose of m. + * Performs linear interpolation on two vectors. + * Given vectors a and b and interpolation coefficient vector t, returns + * a + t * (b - a). + * @param a - Operand vector. + * @param b - Operand vector. + * @param t - Interpolation coefficients vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns the linear interpolated result. */ - function transpose(m, dst) { - const newDst = (dst ?? new Ctor(12)); - if (newDst === m) { - let t; - // 0 1 2 - // 4 5 6 - // 8 9 10 - t = m[1]; - m[1] = m[4]; - m[4] = t; - t = m[2]; - m[2] = m[8]; - m[8] = t; - t = m[6]; - m[6] = m[9]; - m[9] = t; - return newDst; - } - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - newDst[0] = m00; - newDst[1] = m10; - newDst[2] = m20; - newDst[4] = m01; - newDst[5] = m11; - newDst[6] = m21; - newDst[8] = m02; - newDst[9] = m12; - newDst[10] = m22; + function lerpV(a, b, t, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = a[0] + t[0] * (b[0] - a[0]); + newDst[1] = a[1] + t[1] * (b[1] - a[1]); + newDst[2] = a[2] + t[2] * (b[2] - a[2]); return newDst; } /** - * Computes the inverse of a 3-by-3 matrix. - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. + * Return max values of two vectors. + * Given vectors a and b returns + * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The max components vector. */ - function inverse(m, dst) { - const newDst = (dst ?? new Ctor(12)); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - const b01 = m22 * m11 - m12 * m21; - const b11 = -m22 * m10 + m12 * m20; - const b21 = m21 * m10 - m11 * m20; - const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); - newDst[0] = b01 * invDet; - newDst[1] = (-m22 * m01 + m02 * m21) * invDet; - newDst[2] = (m12 * m01 - m02 * m11) * invDet; - newDst[4] = b11 * invDet; - newDst[5] = (m22 * m00 - m02 * m20) * invDet; - newDst[6] = (-m12 * m00 + m02 * m10) * invDet; - newDst[8] = b21 * invDet; - newDst[9] = (-m21 * m00 + m01 * m20) * invDet; - newDst[10] = (m11 * m00 - m01 * m10) * invDet; + function max(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.max(a[0], b[0]); + newDst[1] = Math.max(a[1], b[1]); + newDst[2] = Math.max(a[2], b[2]); return newDst; } /** - * Compute the determinant of a matrix - * @param m - the matrix - * @returns the determinant + * Return min values of two vectors. + * Given vectors a and b returns + * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The min components vector. */ - function determinant(m) { - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - return m00 * (m11 * m22 - m21 * m12) - - m10 * (m01 * m22 - m21 * m02) + - m20 * (m01 * m12 - m11 * m02); + function min(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = Math.min(a[0], b[0]); + newDst[1] = Math.min(a[1], b[1]); + newDst[2] = Math.min(a[2], b[2]); + return newDst; } /** - * Computes the inverse of a 3-by-3 matrix. (same as inverse) - * @param m - The matrix. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The inverse of m. + * Multiplies a vector by a scalar. + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. */ - const invert = inverse; + function mulScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] * k; + newDst[1] = v[1] * k; + newDst[2] = v[2] * k; + return newDst; + } /** - * Multiplies two 3-by-3 matrices with a on the left and b on the right - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. - */ - function multiply(a, b, dst) { - const newDst = (dst ?? new Ctor(12)); - const a00 = a[0]; - const a01 = a[1]; - const a02 = a[2]; - const a10 = a[4 + 0]; - const a11 = a[4 + 1]; - const a12 = a[4 + 2]; - const a20 = a[8 + 0]; - const a21 = a[8 + 1]; - const a22 = a[8 + 2]; - const b00 = b[0]; - const b01 = b[1]; - const b02 = b[2]; - const b10 = b[4 + 0]; - const b11 = b[4 + 1]; - const b12 = b[4 + 2]; - const b20 = b[8 + 0]; - const b21 = b[8 + 1]; - const b22 = b[8 + 2]; - newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; - newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; - newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; - newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; - newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; - newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; - newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; - newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; - newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; - return newDst; - } - /** - * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) - * @param a - The matrix on the left. - * @param b - The matrix on the right. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix product of a and b. + * Multiplies a vector by a scalar. (same as mulScalar) + * @param v - The vector. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. */ - const mul = multiply; + const scale = mulScalar; /** - * Sets the translation component of a 3-by-3 matrix to the given - * vector. - * @param a - The matrix. + * Divides a vector by a scalar. * @param v - The vector. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The matrix with translation set. + * @param k - The scalar. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The scaled vector. */ - function setTranslation(a, v, dst) { - const newDst = (dst ?? identity()); - if (a !== newDst) { - newDst[0] = a[0]; - newDst[1] = a[1]; - newDst[2] = a[2]; - newDst[4] = a[4]; - newDst[5] = a[5]; - newDst[6] = a[6]; - } - newDst[8] = v[0]; - newDst[9] = v[1]; - newDst[10] = 1; + function divScalar(v, k, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = v[0] / k; + newDst[1] = v[1] / k; + newDst[2] = v[2] / k; return newDst; } /** - * Returns the translation component of a 3-by-3 matrix as a vector with 3 - * entries. - * @param m - The matrix. - * @param dst - vector to hold result. If not passed a new one is created. - * @returns The translation component of m. + * Inverse a vector. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. */ - function getTranslation(m, dst) { - const newDst = (dst ?? vec2.create()); - newDst[0] = m[8]; - newDst[1] = m[9]; + function inverse(v, dst) { + const newDst = (dst ?? new Ctor(3)); + newDst[0] = 1 / v[0]; + newDst[1] = 1 / v[1]; + newDst[2] = 1 / v[2]; return newDst; } /** - * Returns an axis of a 3x3 matrix as a vector with 2 entries - * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, - * @returns The axis component of m. + * Invert a vector. (same as inverse) + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The inverted vector. */ - function getAxis(m, axis, dst) { - const newDst = (dst ?? vec2.create()); - const off = axis * 4; - newDst[0] = m[off + 0]; - newDst[1] = m[off + 1]; - return newDst; - } + const invert = inverse; /** - * Sets an axis of a 3x3 matrix as a vector with 2 entries - * @param m - The matrix. - * @param v - the axis vector - * @param axis - The axis 0 = x, 1 = y; - * @param dst - The matrix to set. If not passed a new one is created. - * @returns The matrix with axis set. + * Computes the cross product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The vector of a cross b. */ - function setAxis(m, v, axis, dst) { - const newDst = (dst === m ? m : copy(m, dst)); - const off = axis * 4; - newDst[off + 0] = v[0]; - newDst[off + 1] = v[1]; - return newDst; - } - ///** - // * Returns the scaling component of the matrix - // * @param m - The Matrix - // * @param dst - The vector to set. If not passed a new one is created. - // */ - function getScaling(m, dst) { - const newDst = (dst ?? vec2.create()); - const xx = m[0]; - const xy = m[1]; - const yx = m[4]; - const yy = m[5]; - newDst[0] = Math.sqrt(xx * xx + xy * xy); - newDst[1] = Math.sqrt(yx * yx + yy * yy); + function cross(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + const t1 = a[2] * b[0] - a[0] * b[2]; + const t2 = a[0] * b[1] - a[1] * b[0]; + newDst[0] = a[1] * b[2] - a[2] * b[1]; + newDst[1] = t1; + newDst[2] = t2; return newDst; } /** - * Creates a 3-by-3 matrix which translates by the given vector v. - * @param v - The vector by which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translation matrix. + * Computes the dot product of two vectors; assumes both vectors have + * three entries. + * @param a - Operand vector. + * @param b - Operand vector. + * @returns dot product */ - function translation(v, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = 1; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = 1; - newDst[6] = 0; - newDst[8] = v[0]; - newDst[9] = v[1]; - newDst[10] = 1; - return newDst; + function dot(a, b) { + return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); } /** - * Translates the given 3-by-3 matrix by the given vector v. - * @param m - The matrix. - * @param v - The vector by which to translate. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The translated matrix. + * Computes the length of vector + * @param v - vector. + * @returns length of vector. */ - function translate(m, v, dst) { - const newDst = (dst ?? new Ctor(12)); + function length(v) { const v0 = v[0]; const v1 = v[1]; - const m00 = m[0]; - const m01 = m[1]; - const m02 = m[2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const m20 = m[2 * 4 + 0]; - const m21 = m[2 * 4 + 1]; - const m22 = m[2 * 4 + 2]; - if (m !== newDst) { - newDst[0] = m00; - newDst[1] = m01; - newDst[2] = m02; - newDst[4] = m10; - newDst[5] = m11; - newDst[6] = m12; - } - newDst[8] = m00 * v0 + m10 * v1 + m20; - newDst[9] = m01 * v0 + m11 * v1 + m21; - newDst[10] = m02 * v0 + m12 * v1 + m22; - return newDst; + const v2 = v[2]; + return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); } /** - * Creates a 3-by-3 matrix which rotates by the given angle. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotation matrix. + * Computes the length of vector (same as length) + * @param v - vector. + * @returns length of vector. */ - function rotation(angleInRadians, dst) { - const newDst = (dst ?? new Ctor(12)); - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - newDst[0] = c; - newDst[1] = s; - newDst[2] = 0; - newDst[4] = -s; - newDst[5] = c; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; - return newDst; + const len = length; + /** + * Computes the square of the length of vector + * @param v - vector. + * @returns square of the length of vector. + */ + function lengthSq(v) { + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + return v0 * v0 + v1 * v1 + v2 * v2; } /** - * Rotates the given 3-by-3 matrix by the given angle. - * @param m - The matrix. - * @param angleInRadians - The angle by which to rotate (in radians). - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The rotated matrix. + * Computes the square of the length of vector (same as lengthSq) + * @param v - vector. + * @returns square of the length of vector. */ - function rotate(m, angleInRadians, dst) { - const newDst = (dst ?? new Ctor(12)); - const m00 = m[0 * 4 + 0]; - const m01 = m[0 * 4 + 1]; - const m02 = m[0 * 4 + 2]; - const m10 = m[1 * 4 + 0]; - const m11 = m[1 * 4 + 1]; - const m12 = m[1 * 4 + 2]; - const c = Math.cos(angleInRadians); - const s = Math.sin(angleInRadians); - newDst[0] = c * m00 + s * m10; - newDst[1] = c * m01 + s * m11; - newDst[2] = c * m02 + s * m12; - newDst[4] = c * m10 - s * m00; - newDst[5] = c * m11 - s * m01; - newDst[6] = c * m12 - s * m02; - if (m !== newDst) { - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; - } - return newDst; - } + const lenSq = lengthSq; /** - * Creates a 3-by-3 matrix which scales in each dimension by an amount given by - * the corresponding entry in the given vector; assumes the vector has three - * entries. - * @param v - A vector of - * 2 entries specifying the factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * Computes the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns distance between a and b */ - function scaling(v, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = v[0]; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = v[1]; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; - return newDst; + function distance(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return Math.sqrt(dx * dx + dy * dy + dz * dz); } /** - * Scales the given 3-by-3 matrix in each dimension by an amount - * given by the corresponding entry in the given vector; assumes the vector has - * three entries. - * @param m - The matrix to be modified. - * @param v - A vector of 2 entries specifying the - * factor by which to scale in each dimension. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Computes the distance between 2 points (same as distance) + * @param a - vector. + * @param b - vector. + * @returns distance between a and b */ - function scale(m, v, dst) { - const newDst = (dst ?? new Ctor(12)); - const v0 = v[0]; - const v1 = v[1]; - newDst[0] = v0 * m[0 * 4 + 0]; - newDst[1] = v0 * m[0 * 4 + 1]; - newDst[2] = v0 * m[0 * 4 + 2]; - newDst[4] = v1 * m[1 * 4 + 0]; - newDst[5] = v1 * m[1 * 4 + 1]; - newDst[6] = v1 * m[1 * 4 + 2]; - if (m !== newDst) { - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; - } - return newDst; - } + const dist = distance; /** - * Creates a 3-by-3 matrix which scales uniformly in each dimension - * @param s - Amount to scale - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaling matrix. + * Computes the square of the distance between 2 points + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b */ - function uniformScaling(s, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = s; - newDst[1] = 0; - newDst[2] = 0; - newDst[4] = 0; - newDst[5] = s; - newDst[6] = 0; - newDst[8] = 0; - newDst[9] = 0; - newDst[10] = 1; - return newDst; + function distanceSq(a, b) { + const dx = a[0] - b[0]; + const dy = a[1] - b[1]; + const dz = a[2] - b[2]; + return dx * dx + dy * dy + dz * dz; } /** - * Scales the given 3-by-3 matrix in each dimension by an amount - * given. - * @param m - The matrix to be modified. - * @param s - Amount to scale. - * @param dst - matrix to hold result. If not passed a new one is created. - * @returns The scaled matrix. + * Computes the square of the distance between 2 points (same as distanceSq) + * @param a - vector. + * @param b - vector. + * @returns square of the distance between a and b */ - function uniformScale(m, s, dst) { - const newDst = (dst ?? new Ctor(12)); - newDst[0] = s * m[0 * 4 + 0]; - newDst[1] = s * m[0 * 4 + 1]; - newDst[2] = s * m[0 * 4 + 2]; - newDst[4] = s * m[1 * 4 + 0]; - newDst[5] = s * m[1 * 4 + 1]; - newDst[6] = s * m[1 * 4 + 2]; - if (m !== newDst) { - newDst[8] = m[8]; - newDst[9] = m[9]; - newDst[10] = m[10]; - } - return newDst; - } - return { - clone, - create, - set, - fromMat4, - fromQuat, - negate, - copy, - equalsApproximately, - equals, - identity, - transpose, - inverse, - invert, - determinant, - mul, - multiply, - setTranslation, - getTranslation, - getAxis, - setAxis, - getScaling, - translation, - translate, - rotation, - rotate, - scaling, - scale, - uniformScaling, - uniformScale, - }; -} -const cache$4 = new Map(); -function getAPI$4(Ctor) { - let api = cache$4.get(Ctor); - if (!api) { - api = getAPIImpl$4(Ctor); - cache$4.set(Ctor, api); - } - return api; -} - -/* - * Copyright 2022 Gregg Tavares - * - * Permission is hereby granted, free of charge, to any person obtaining a - * copy of this software and associated documentation files (the "Software"), - * to deal in the Software without restriction, including without limitation - * the rights to use, copy, modify, merge, publish, distribute, sublicense, - * and/or sell copies of the Software, and to permit persons to whom the - * Software is furnished to do so, subject to the following conditions: - * - * The above copyright notice and this permission notice shall be included in - * all copies or substantial portions of the Software. - * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL - * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER - * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING - * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER - * DEALINGS IN THE SOFTWARE. - */ -/** - * Generates am typed API for Vec3 - * */ -function getAPIImpl$3(Ctor) { + const distSq = distanceSq; /** - * Creates a vec3; may be called with x, y, z to set initial values. - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector + * Divides a vector by its Euclidean length and returns the quotient. + * @param v - The vector. + * @param dst - vector to hold result. If not passed in a new one is created. + * @returns The normalized vector. */ - function create(x, y, z) { - const newDst = new Ctor(3); - if (x !== undefined) { - newDst[0] = x; - if (y !== undefined) { - newDst[1] = y; - if (z !== undefined) { - newDst[2] = z; - } - } + function normalize(v, dst) { + const newDst = (dst ?? new Ctor(3)); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + if (len > 0.00001) { + newDst[0] = v0 / len; + newDst[1] = v1 / len; + newDst[2] = v2 / len; + } + else { + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; } return newDst; } /** - * Creates a vec3; may be called with x, y, z to set initial values. (same as create) - * @param x - Initial x value. - * @param y - Initial y value. - * @param z - Initial z value. - * @returns the created vector - */ - const fromValues = create; - /** - * Sets the values of a Vec3 - * Also see {@link vec3.create} and {@link vec3.copy} - * - * @param x first value - * @param y second value - * @param z third value + * Negates a vector. + * @param v - The vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector with its elements set. + * @returns -v. */ - function set(x, y, z, dst) { + function negate(v, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = x; - newDst[1] = y; - newDst[2] = z; + newDst[0] = -v[0]; + newDst[1] = -v[1]; + newDst[2] = -v[2]; return newDst; } /** - * Applies Math.ceil to each element of vector - * @param v - Operand vector. + * Copies a vector. (same as {@link vec3.clone}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the ceil of each element of v. + * @returns A copy of v. */ - function ceil(v, dst) { + function copy(v, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.ceil(v[0]); - newDst[1] = Math.ceil(v[1]); - newDst[2] = Math.ceil(v[2]); - return newDst; - } - /** - * Applies Math.floor to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the floor of each element of v. - */ - function floor(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.floor(v[0]); - newDst[1] = Math.floor(v[1]); - newDst[2] = Math.floor(v[2]); - return newDst; - } - /** - * Applies Math.round to each element of vector - * @param v - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the round of each element of v. - */ - function round(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.round(v[0]); - newDst[1] = Math.round(v[1]); - newDst[2] = Math.round(v[2]); + newDst[0] = v[0]; + newDst[1] = v[1]; + newDst[2] = v[2]; return newDst; } /** - * Clamp each element of vector between min and max - * @param v - Operand vector. - * @param max - Min value, default 0 - * @param min - Max value, default 1 + * Clones a vector. (same as {@link vec3.copy}) + * Also see {@link vec3.create} and {@link vec3.set} + * @param v - The vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that the clamped value of each element of v. + * @returns A copy of v. */ - function clamp(v, min = 0, max = 1, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.min(max, Math.max(min, v[0])); - newDst[1] = Math.min(max, Math.max(min, v[1])); - newDst[2] = Math.min(max, Math.max(min, v[2])); - return newDst; - } + const clone = copy; /** - * Adds two vectors; assumes a and b have the same dimension. + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. * @param a - Operand vector. * @param b - Operand vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a and b. + * @returns The vector of products of entries of a and b. */ - function add(a, b, dst) { + function multiply(a, b, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + b[0]; - newDst[1] = a[1] + b[1]; - newDst[2] = a[2] + b[2]; + newDst[0] = a[0] * b[0]; + newDst[1] = a[1] * b[1]; + newDst[2] = a[2] * b[2]; return newDst; } /** - * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension. + * Multiplies a vector by another vector (component-wise); assumes a and + * b have the same length. (same as mul) * @param a - Operand vector. * @param b - Operand vector. - * @param scale - Amount to scale b * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the sum of a + b * scale. - */ - function addScaled(a, b, scale, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + b[0] * scale; - newDst[1] = a[1] + b[1] * scale; - newDst[2] = a[2] + b[2] * scale; - return newDst; - } - /** - * Returns the angle in radians between two vectors. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns The angle in radians between the 2 vectors. + * @returns The vector of products of entries of a and b. */ - function angle(a, b) { - const ax = a[0]; - const ay = a[1]; - const az = a[2]; - const bx = b[0]; - const by = b[1]; - const bz = b[2]; - const mag1 = Math.sqrt(ax * ax + ay * ay + az * az); - const mag2 = Math.sqrt(bx * bx + by * by + bz * bz); - const mag = mag1 * mag2; - const cosine = mag && dot(a, b) / mag; - return Math.acos(cosine); - } + const mul = multiply; /** - * Subtracts two vectors. + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. * @param a - Operand vector. * @param b - Operand vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. + * @returns The vector of quotients of entries of a and b. */ - function subtract(a, b, dst) { + function divide(a, b, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] - b[0]; - newDst[1] = a[1] - b[1]; - newDst[2] = a[2] - b[2]; + newDst[0] = a[0] / b[0]; + newDst[1] = a[1] / b[1]; + newDst[2] = a[2] / b[2]; return newDst; } /** - * Subtracts two vectors. + * Divides a vector by another vector (component-wise); assumes a and + * b have the same length. (same as divide) * @param a - Operand vector. * @param b - Operand vector. * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A vector that is the difference of a and b. - */ - const sub = subtract; - /** - * Check if 2 vectors are approximately equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are approximately equal - */ - function equalsApproximately(a, b) { - return Math.abs(a[0] - b[0]) < EPSILON && - Math.abs(a[1] - b[1]) < EPSILON && - Math.abs(a[2] - b[2]) < EPSILON; - } - /** - * Check if 2 vectors are exactly equal - * @param a - Operand vector. - * @param b - Operand vector. - * @returns true if vectors are exactly equal + * @returns The vector of quotients of entries of a and b. */ - function equals(a, b) { - return a[0] === b[0] && a[1] === b[1] && a[2] === b[2]; - } + const div = divide; /** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficient. + * Creates a random vector + * @param scale - Default 1 * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The linear interpolated result. + * @returns The random vector. */ - function lerp(a, b, t, dst) { + function random(scale = 1, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + t * (b[0] - a[0]); - newDst[1] = a[1] + t * (b[1] - a[1]); - newDst[2] = a[2] + t * (b[2] - a[2]); + const angle = Math.random() * 2 * Math.PI; + const z = Math.random() * 2 - 1; + const zScale = Math.sqrt(1 - z * z) * scale; + newDst[0] = Math.cos(angle) * zScale; + newDst[1] = Math.sin(angle) * zScale; + newDst[2] = z * scale; return newDst; } /** - * Performs linear interpolation on two vectors. - * Given vectors a and b and interpolation coefficient vector t, returns - * a + t * (b - a). - * @param a - Operand vector. - * @param b - Operand vector. - * @param t - Interpolation coefficients vector. + * Zero's a vector * @param dst - vector to hold result. If not passed in a new one is created. - * @returns the linear interpolated result. + * @returns The zeroed vector. */ - function lerpV(a, b, t, dst) { + function zero(dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] + t[0] * (b[0] - a[0]); - newDst[1] = a[1] + t[1] * (b[1] - a[1]); - newDst[2] = a[2] + t[2] * (b[2] - a[2]); + newDst[0] = 0; + newDst[1] = 0; + newDst[2] = 0; return newDst; } /** - * Return max values of two vectors. - * Given vectors a and b returns - * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The max components vector. + * transform vec3 by 4x4 matrix + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector */ - function max(a, b, dst) { + function transformMat4(v, m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.max(a[0], b[0]); - newDst[1] = Math.max(a[1], b[1]); - newDst[2] = Math.max(a[2], b[2]); + const x = v[0]; + const y = v[1]; + const z = v[2]; + const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; + newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; + newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; + newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; return newDst; } /** - * Return min values of two vectors. - * Given vectors a and b returns - * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])]. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The min components vector. + * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. + * @param v - The direction. + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns The transformed vector. */ - function min(a, b, dst) { + function transformMat4Upper3x3(v, m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = Math.min(a[0], b[0]); - newDst[1] = Math.min(a[1], b[1]); - newDst[2] = Math.min(a[2], b[2]); + const v0 = v[0]; + const v1 = v[1]; + const v2 = v[2]; + newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; return newDst; } /** - * Multiplies a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. + * Transforms vec3 by 3x3 matrix + * + * @param v - the vector + * @param m - The matrix. + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed vector */ - function mulScalar(v, k, dst) { + function transformMat3(v, m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = v[0] * k; - newDst[1] = v[1] * k; - newDst[2] = v[2] * k; + const x = v[0]; + const y = v[1]; + const z = v[2]; + newDst[0] = x * m[0] + y * m[4] + z * m[8]; + newDst[1] = x * m[1] + y * m[5] + z * m[9]; + newDst[2] = x * m[2] + y * m[6] + z * m[10]; return newDst; } /** - * Multiplies a vector by a scalar. (same as mulScalar) - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. + * Transforms vec3 by Quaternion + * @param v - the vector to transform + * @param q - the quaternion to transform by + * @param dst - optional vec3 to store result. If not passed a new one is created. + * @returns the transformed */ - const scale = mulScalar; - /** - * Divides a vector by a scalar. - * @param v - The vector. - * @param k - The scalar. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The scaled vector. - */ - function divScalar(v, k, dst) { + function transformQuat(v, q, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = v[0] / k; - newDst[1] = v[1] / k; - newDst[2] = v[2] / k; + const qx = q[0]; + const qy = q[1]; + const qz = q[2]; + const w2 = q[3] * 2; + const x = v[0]; + const y = v[1]; + const z = v[2]; + const uvX = qy * z - qz * y; + const uvY = qz * x - qx * z; + const uvZ = qx * y - qy * x; + newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; + newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; + newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; return newDst; } /** - * Inverse a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. + * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * entries. + * @param m - The matrix. + * @param dst - vector to hold result. If not passed a new one is created. + * @returns The translation component of m. */ - function inverse(v, dst) { + function getTranslation(m, dst) { const newDst = (dst ?? new Ctor(3)); - newDst[0] = 1 / v[0]; - newDst[1] = 1 / v[1]; - newDst[2] = 1 / v[2]; + newDst[0] = m[12]; + newDst[1] = m[13]; + newDst[2] = m[14]; return newDst; } /** - * Invert a vector. (same as inverse) - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The inverted vector. + * Returns an axis of a 4x4 matrix as a vector with 3 entries + * @param m - The matrix. + * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @returns The axis component of m. */ - const invert = inverse; + function getAxis(m, axis, dst) { + const newDst = (dst ?? new Ctor(3)); + const off = axis * 4; + newDst[0] = m[off + 0]; + newDst[1] = m[off + 1]; + newDst[2] = m[off + 2]; + return newDst; + } /** - * Computes the cross product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of a cross b. + * Returns the scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. */ - function cross(a, b, dst) { + function getScaling(m, dst) { const newDst = (dst ?? new Ctor(3)); - const t1 = a[2] * b[0] - a[0] * b[2]; - const t2 = a[0] * b[1] - a[1] * b[0]; - newDst[0] = a[1] * b[2] - a[2] * b[1]; - newDst[1] = t1; - newDst[2] = t2; + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); return newDst; } /** - * Computes the dot product of two vectors; assumes both vectors have - * three entries. - * @param a - Operand vector. - * @param b - Operand vector. - * @returns dot product + * Rotate a 3D vector around the x-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector */ - function dot(a, b) { - return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]); + function rotateX(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + //Translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + //perform rotation + r[0] = p[0]; + r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); + r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); + //translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; } /** - * Computes the length of vector - * @param v - vector. - * @returns length of vector. + * Rotate a 3D vector around the y-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns the rotated vector */ - function length(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); + function rotateY(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); + r[1] = p[1]; + r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; } /** - * Computes the length of vector (same as length) - * @param v - vector. - * @returns length of vector. + * Rotate a 3D vector around the z-axis + * + * @param {ReadonlyVec3} a The vec3 point to rotate + * @param {ReadonlyVec3} b The origin of the rotation + * @param {Number} rad The angle of rotation in radians + * @param dst - The vector to set. If not passed a new one is created. + * @returns {vec3} out */ - const len = length; + function rotateZ(a, b, rad, dst) { + const newDst = (dst ?? new Ctor(3)); + const p = []; + const r = []; + // translate point to the origin + p[0] = a[0] - b[0]; + p[1] = a[1] - b[1]; + p[2] = a[2] - b[2]; + // perform rotation + r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); + r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); + r[2] = p[2]; + // translate to correct position + newDst[0] = r[0] + b[0]; + newDst[1] = r[1] + b[1]; + newDst[2] = r[2] + b[2]; + return newDst; + } /** - * Computes the square of the length of vector - * @param v - vector. - * @returns square of the length of vector. + * Treat a 3D vector as a direction and set it's length + * + * @param a The vec3 to lengthen + * @param len The length of the resulting vector + * @returns The lengthened vector */ - function lengthSq(v) { - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - return v0 * v0 + v1 * v1 + v2 * v2; + function setLength(a, len, dst) { + const newDst = (dst ?? new Ctor(3)); + normalize(a, newDst); + return mulScalar(newDst, len, newDst); } /** - * Computes the square of the length of vector (same as lengthSq) - * @param v - vector. - * @returns square of the length of vector. + * Ensure a vector is not longer than a max length + * + * @param a The vec3 to limit + * @param maxLen The longest length of the resulting vector + * @returns The vector, shortened to maxLen if it's too long */ - const lenSq = lengthSq; + function truncate(a, maxLen, dst) { + const newDst = (dst ?? new Ctor(3)); + if (length(a) > maxLen) { + return setLength(a, maxLen, newDst); + } + return copy(a, newDst); + } /** - * Computes the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns distance between a and b + * Return the vector exactly between 2 endpoint vectors + * + * @param a Endpoint 1 + * @param b Endpoint 2 + * @returns The vector exactly residing between endpoints 1 and 2 */ - function distance(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return Math.sqrt(dx * dx + dy * dy + dz * dz); + function midpoint(a, b, dst) { + const newDst = (dst ?? new Ctor(3)); + return lerp(a, b, 0.5, newDst); } + return { + create, + fromValues, + set, + ceil, + floor, + round, + clamp, + add, + addScaled, + angle, + subtract, + sub, + equalsApproximately, + equals, + lerp, + lerpV, + max, + min, + mulScalar, + scale, + divScalar, + inverse, + invert, + cross, + dot, + length, + len, + lengthSq, + lenSq, + distance, + dist, + distanceSq, + distSq, + normalize, + negate, + copy, + clone, + multiply, + mul, + divide, + div, + random, + zero, + transformMat4, + transformMat4Upper3x3, + transformMat3, + transformQuat, + getTranslation, + getAxis, + getScaling, + rotateX, + rotateY, + rotateZ, + setLength, + truncate, + midpoint, + }; +} +const cache$4 = new Map(); +function getAPI$4(Ctor) { + let api = cache$4.get(Ctor); + if (!api) { + api = getAPIImpl$4(Ctor); + cache$4.set(Ctor, api); + } + return api; +} + +/* + * Copyright 2022 Gregg Tavares + * + * Permission is hereby granted, free of charge, to any person obtaining a + * copy of this software and associated documentation files (the "Software"), + * to deal in the Software without restriction, including without limitation + * the rights to use, copy, modify, merge, publish, distribute, sublicense, + * and/or sell copies of the Software, and to permit persons to whom the + * Software is furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL + * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING + * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER + * DEALINGS IN THE SOFTWARE. + */ +/** + * Generates a typed API for Mat3 + * */ +function getAPIImpl$3(Ctor) { + const vec2 = getAPI$5(Ctor); + const vec3 = getAPI$4(Ctor); /** - * Computes the distance between 2 points (same as distance) - * @param a - vector. - * @param b - vector. - * @returns distance between a and b + * Create a Mat3 from values + * + * Note: Since passing in a raw JavaScript array + * is valid in all circumstances, if you want to + * force a JavaScript array into a Mat3's specified type + * it would be faster to use + * + * ``` + * const m = mat3.clone(someJSArray); + * ``` + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @returns matrix created from values. */ - const dist = distance; + function create(v0, v1, v2, v3, v4, v5, v6, v7, v8) { + const newDst = new Ctor(12); + // to make the array homogenous + newDst[3] = 0; + newDst[7] = 0; + newDst[11] = 0; + if (v0 !== undefined) { + newDst[0] = v0; + if (v1 !== undefined) { + newDst[1] = v1; + if (v2 !== undefined) { + newDst[2] = v2; + if (v3 !== undefined) { + newDst[4] = v3; + if (v4 !== undefined) { + newDst[5] = v4; + if (v5 !== undefined) { + newDst[6] = v5; + if (v6 !== undefined) { + newDst[8] = v6; + if (v7 !== undefined) { + newDst[9] = v7; + if (v8 !== undefined) { + newDst[10] = v8; + } + } + } + } + } + } + } + } + } + return newDst; + } /** - * Computes the square of the distance between 2 points - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b + * Sets the values of a Mat3 + * Also see {@link mat3.create} and {@link mat3.copy} + * + * @param v0 - value for element 0 + * @param v1 - value for element 1 + * @param v2 - value for element 2 + * @param v3 - value for element 3 + * @param v4 - value for element 4 + * @param v5 - value for element 5 + * @param v6 - value for element 6 + * @param v7 - value for element 7 + * @param v8 - value for element 8 + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 set from values. */ - function distanceSq(a, b) { - const dx = a[0] - b[0]; - const dy = a[1] - b[1]; - const dz = a[2] - b[2]; - return dx * dx + dy * dy + dz * dz; + function set(v0, v1, v2, v3, v4, v5, v6, v7, v8, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v0; + newDst[1] = v1; + newDst[2] = v2; + newDst[3] = 0; + newDst[4] = v3; + newDst[5] = v4; + newDst[6] = v5; + newDst[7] = 0; + newDst[8] = v6; + newDst[9] = v7; + newDst[10] = v8; + newDst[11] = 0; + return newDst; } /** - * Computes the square of the distance between 2 points (same as distanceSq) - * @param a - vector. - * @param b - vector. - * @returns square of the distance between a and b + * Creates a Mat3 from the upper left 3x3 part of a Mat4 + * @param m4 - source matrix + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from m4 */ - const distSq = distanceSq; + function fromMat4(m4, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m4[0]; + newDst[1] = m4[1]; + newDst[2] = m4[2]; + newDst[3] = 0; + newDst[4] = m4[4]; + newDst[5] = m4[5]; + newDst[6] = m4[6]; + newDst[7] = 0; + newDst[8] = m4[8]; + newDst[9] = m4[9]; + newDst[10] = m4[10]; + newDst[11] = 0; + return newDst; + } /** - * Divides a vector by its Euclidean length and returns the quotient. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The normalized vector. + * Creates a Mat3 rotation matrix from a quaternion + * @param q - quaternion to create matrix from + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns Mat3 made from q */ - function normalize(v, dst) { - const newDst = (dst ?? new Ctor(3)); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2); - if (len > 0.00001) { - newDst[0] = v0 / len; - newDst[1] = v1 / len; - newDst[2] = v2 / len; - } - else { - newDst[0] = 0; - newDst[1] = 0; - newDst[2] = 0; - } + function fromQuat(q, dst) { + const newDst = (dst ?? new Ctor(12)); + const x = q[0]; + const y = q[1]; + const z = q[2]; + const w = q[3]; + const x2 = x + x; + const y2 = y + y; + const z2 = z + z; + const xx = x * x2; + const yx = y * x2; + const yy = y * y2; + const zx = z * x2; + const zy = z * y2; + const zz = z * z2; + const wx = w * x2; + const wy = w * y2; + const wz = w * z2; + newDst[0] = 1 - yy - zz; + newDst[1] = yx + wz; + newDst[2] = zx - wy; + newDst[3] = 0; + newDst[4] = yx - wz; + newDst[5] = 1 - xx - zz; + newDst[6] = zy + wx; + newDst[7] = 0; + newDst[8] = zx + wy; + newDst[9] = zy - wx; + newDst[10] = 1 - xx - yy; + newDst[11] = 0; return newDst; } /** - * Negates a vector. - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns -v. + * Negates a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns -m. */ - function negate(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = -v[0]; - newDst[1] = -v[1]; - newDst[2] = -v[2]; + function negate(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = -m[0]; + newDst[1] = -m[1]; + newDst[2] = -m[2]; + newDst[4] = -m[4]; + newDst[5] = -m[5]; + newDst[6] = -m[6]; + newDst[8] = -m[8]; + newDst[9] = -m[9]; + newDst[10] = -m[10]; return newDst; } /** - * Copies a vector. (same as {@link vec3.clone}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. + * Copies a matrix. (same as {@link mat3.clone}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. */ - function copy(v, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = v[0]; - newDst[1] = v[1]; - newDst[2] = v[2]; + function copy(m, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = m[0]; + newDst[1] = m[1]; + newDst[2] = m[2]; + newDst[4] = m[4]; + newDst[5] = m[5]; + newDst[6] = m[6]; + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; return newDst; } /** - * Clones a vector. (same as {@link vec3.copy}) - * Also see {@link vec3.create} and {@link vec3.set} - * @param v - The vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns A copy of v. + * Copies a matrix (same as {@link mat3.copy}) + * Also see {@link mat3.create} and {@link mat3.set} + * @param m - The matrix. + * @param dst - The matrix. If not passed a new one is created. + * @returns A copy of m. */ const clone = copy; /** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. + * Check if 2 matrices are approximately equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are approximately equal */ - function multiply(a, b, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] * b[0]; - newDst[1] = a[1] * b[1]; - newDst[2] = a[2] * b[2]; - return newDst; + function equalsApproximately(a, b) { + return Math.abs(a[0] - b[0]) < EPSILON && + Math.abs(a[1] - b[1]) < EPSILON && + Math.abs(a[2] - b[2]) < EPSILON && + Math.abs(a[4] - b[4]) < EPSILON && + Math.abs(a[5] - b[5]) < EPSILON && + Math.abs(a[6] - b[6]) < EPSILON && + Math.abs(a[8] - b[8]) < EPSILON && + Math.abs(a[9] - b[9]) < EPSILON && + Math.abs(a[10] - b[10]) < EPSILON; } /** - * Multiplies a vector by another vector (component-wise); assumes a and - * b have the same length. (same as mul) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of products of entries of a and b. + * Check if 2 matrices are exactly equal + * @param a Operand matrix. + * @param b Operand matrix. + * @returns true if matrices are exactly equal */ - const mul = multiply; + function equals(a, b) { + return a[0] === b[0] && + a[1] === b[1] && + a[2] === b[2] && + a[4] === b[4] && + a[5] === b[5] && + a[6] === b[6] && + a[8] === b[8] && + a[9] === b[9] && + a[10] === b[10]; + } /** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. + * Creates a 3-by-3 identity matrix. + * + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns A 3-by-3 identity matrix. */ - function divide(a, b, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = a[0] / b[0]; - newDst[1] = a[1] / b[1]; - newDst[2] = a[2] / b[2]; + function identity(dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; return newDst; } /** - * Divides a vector by another vector (component-wise); assumes a and - * b have the same length. (same as divide) - * @param a - Operand vector. - * @param b - Operand vector. - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The vector of quotients of entries of a and b. - */ - const div = divide; - /** - * Creates a random vector - * @param scale - Default 1 - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The random vector. + * Takes the transpose of a matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The transpose of m. */ - function random(scale = 1, dst) { - const newDst = (dst ?? new Ctor(3)); - const angle = Math.random() * 2 * Math.PI; - const z = Math.random() * 2 - 1; - const zScale = Math.sqrt(1 - z * z) * scale; - newDst[0] = Math.cos(angle) * zScale; - newDst[1] = Math.sin(angle) * zScale; - newDst[2] = z * scale; + function transpose(m, dst) { + const newDst = (dst ?? new Ctor(12)); + if (newDst === m) { + let t; + // 0 1 2 + // 4 5 6 + // 8 9 10 + t = m[1]; + m[1] = m[4]; + m[4] = t; + t = m[2]; + m[2] = m[8]; + m[8] = t; + t = m[6]; + m[6] = m[9]; + m[9] = t; + return newDst; + } + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + newDst[0] = m00; + newDst[1] = m10; + newDst[2] = m20; + newDst[4] = m01; + newDst[5] = m11; + newDst[6] = m21; + newDst[8] = m02; + newDst[9] = m12; + newDst[10] = m22; return newDst; } /** - * Zero's a vector - * @param dst - vector to hold result. If not passed in a new one is created. - * @returns The zeroed vector. + * Computes the inverse of a 3-by-3 matrix. + * @param m - The matrix. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. */ - function zero(dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = 0; - newDst[1] = 0; - newDst[2] = 0; + function inverse(m, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + const b01 = m22 * m11 - m12 * m21; + const b11 = -m22 * m10 + m12 * m20; + const b21 = m21 * m10 - m11 * m20; + const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21); + newDst[0] = b01 * invDet; + newDst[1] = (-m22 * m01 + m02 * m21) * invDet; + newDst[2] = (m12 * m01 - m02 * m11) * invDet; + newDst[4] = b11 * invDet; + newDst[5] = (m22 * m00 - m02 * m20) * invDet; + newDst[6] = (-m12 * m00 + m02 * m10) * invDet; + newDst[8] = b21 * invDet; + newDst[9] = (-m21 * m00 + m01 * m20) * invDet; + newDst[10] = (m11 * m00 - m01 * m10) * invDet; return newDst; } /** - * transform vec3 by 4x4 matrix - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector + * Compute the determinant of a matrix + * @param m - the matrix + * @returns the determinant */ - function transformMat4(v, m, dst) { - const newDst = (dst ?? new Ctor(3)); - const x = v[0]; - const y = v[1]; - const z = v[2]; - const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1; - newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w; - newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w; - newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w; - return newDst; + function determinant(m) { + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + return m00 * (m11 * m22 - m21 * m12) - + m10 * (m01 * m22 - m21 * m02) + + m20 * (m01 * m12 - m11 * m02); } /** - * Transform vec3 by upper 3x3 matrix inside 4x4 matrix. - * @param v - The direction. + * Computes the inverse of a 3-by-3 matrix. (same as inverse) * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns The transformed vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The inverse of m. */ - function transformMat4Upper3x3(v, m, dst) { - const newDst = (dst ?? new Ctor(3)); - const v0 = v[0]; - const v1 = v[1]; - const v2 = v[2]; - newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0]; - newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1]; - newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2]; - return newDst; - } + const invert = inverse; /** - * Transforms vec3 by 3x3 matrix - * - * @param v - the vector - * @param m - The matrix. - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed vector + * Multiplies two 3-by-3 matrices with a on the left and b on the right + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. */ - function transformMat3(v, m, dst) { - const newDst = (dst ?? new Ctor(3)); - const x = v[0]; - const y = v[1]; - const z = v[2]; - newDst[0] = x * m[0] + y * m[4] + z * m[8]; - newDst[1] = x * m[1] + y * m[5] + z * m[9]; - newDst[2] = x * m[2] + y * m[6] + z * m[10]; + function multiply(a, b, dst) { + const newDst = (dst ?? new Ctor(12)); + const a00 = a[0]; + const a01 = a[1]; + const a02 = a[2]; + const a10 = a[4 + 0]; + const a11 = a[4 + 1]; + const a12 = a[4 + 2]; + const a20 = a[8 + 0]; + const a21 = a[8 + 1]; + const a22 = a[8 + 2]; + const b00 = b[0]; + const b01 = b[1]; + const b02 = b[2]; + const b10 = b[4 + 0]; + const b11 = b[4 + 1]; + const b12 = b[4 + 2]; + const b20 = b[8 + 0]; + const b21 = b[8 + 1]; + const b22 = b[8 + 2]; + newDst[0] = a00 * b00 + a10 * b01 + a20 * b02; + newDst[1] = a01 * b00 + a11 * b01 + a21 * b02; + newDst[2] = a02 * b00 + a12 * b01 + a22 * b02; + newDst[4] = a00 * b10 + a10 * b11 + a20 * b12; + newDst[5] = a01 * b10 + a11 * b11 + a21 * b12; + newDst[6] = a02 * b10 + a12 * b11 + a22 * b12; + newDst[8] = a00 * b20 + a10 * b21 + a20 * b22; + newDst[9] = a01 * b20 + a11 * b21 + a21 * b22; + newDst[10] = a02 * b20 + a12 * b21 + a22 * b22; return newDst; } /** - * Transforms vec3 by Quaternion - * @param v - the vector to transform - * @param q - the quaternion to transform by - * @param dst - optional vec3 to store result. If not passed a new one is created. - * @returns the transformed + * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply) + * @param a - The matrix on the left. + * @param b - The matrix on the right. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix product of a and b. */ - function transformQuat(v, q, dst) { - const newDst = (dst ?? new Ctor(3)); - const qx = q[0]; - const qy = q[1]; - const qz = q[2]; - const w2 = q[3] * 2; - const x = v[0]; - const y = v[1]; - const z = v[2]; - const uvX = qy * z - qz * y; - const uvY = qz * x - qx * z; - const uvZ = qx * y - qy * x; - newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2; - newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2; - newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2; + const mul = multiply; + /** + * Sets the translation component of a 3-by-3 matrix to the given + * vector. + * @param a - The matrix. + * @param v - The vector. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The matrix with translation set. + */ + function setTranslation(a, v, dst) { + const newDst = (dst ?? identity()); + if (a !== newDst) { + newDst[0] = a[0]; + newDst[1] = a[1]; + newDst[2] = a[2]; + newDst[4] = a[4]; + newDst[5] = a[5]; + newDst[6] = a[6]; + } + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; return newDst; } /** - * Returns the translation component of a 4-by-4 matrix as a vector with 3 + * Returns the translation component of a 3-by-3 matrix as a vector with 3 * entries. * @param m - The matrix. * @param dst - vector to hold result. If not passed a new one is created. * @returns The translation component of m. */ function getTranslation(m, dst) { - const newDst = (dst ?? new Ctor(3)); - newDst[0] = m[12]; - newDst[1] = m[13]; - newDst[2] = m[14]; + const newDst = (dst ?? vec2.create()); + newDst[0] = m[8]; + newDst[1] = m[9]; return newDst; } /** - * Returns an axis of a 4x4 matrix as a vector with 3 entries + * Returns an axis of a 3x3 matrix as a vector with 2 entries * @param m - The matrix. - * @param axis - The axis 0 = x, 1 = y, 2 = z; + * @param axis - The axis 0 = x, 1 = y, * @returns The axis component of m. */ function getAxis(m, axis, dst) { - const newDst = (dst ?? new Ctor(3)); + const newDst = (dst ?? vec2.create()); const off = axis * 4; newDst[0] = m[off + 0]; newDst[1] = m[off + 1]; - newDst[2] = m[off + 2]; return newDst; } /** - * Returns the scaling component of the matrix + * Sets an axis of a 3x3 matrix as a vector with 2 entries + * @param m - The matrix. + * @param v - the axis vector + * @param axis - The axis 0 = x, 1 = y; + * @param dst - The matrix to set. If not passed a new one is created. + * @returns The matrix with axis set. + */ + function setAxis(m, v, axis, dst) { + const newDst = (dst === m ? m : copy(m, dst)); + const off = axis * 4; + newDst[off + 0] = v[0]; + newDst[off + 1] = v[1]; + return newDst; + } + /** + * Returns the "2d" scaling component of the matrix * @param m - The Matrix * @param dst - The vector to set. If not passed a new one is created. */ function getScaling(m, dst) { - const newDst = (dst ?? new Ctor(3)); + const newDst = (dst ?? vec2.create()); + const xx = m[0]; + const xy = m[1]; + const yx = m[4]; + const yy = m[5]; + newDst[0] = Math.sqrt(xx * xx + xy * xy); + newDst[1] = Math.sqrt(yx * yx + yy * yy); + return newDst; + } + /** + * Returns the "3d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ + function get3DScaling(m, dst) { + const newDst = (dst ?? vec3.create()); const xx = m[0]; const xy = m[1]; const xz = m[2]; @@ -2238,180 +2211,230 @@ function getAPIImpl$3(Ctor) { return newDst; } /** - * Rotate a 3D vector around the x-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector + * Creates a 3-by-3 matrix which translates by the given vector v. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translation matrix. */ - function rotateX(a, b, rad, dst) { - const newDst = (dst ?? new Ctor(3)); - const p = []; - const r = []; - //Translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - //perform rotation - r[0] = p[0]; - r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad); - r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); - //translate to correct position - newDst[0] = r[0] + b[0]; - newDst[1] = r[1] + b[1]; - newDst[2] = r[2] + b[2]; + function translation(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = 1; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = 1; + newDst[6] = 0; + newDst[8] = v[0]; + newDst[9] = v[1]; + newDst[10] = 1; + return newDst; + } + /** + * Translates the given 3-by-3 matrix by the given vector v. + * @param m - The matrix. + * @param v - The vector by which to translate. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The translated matrix. + */ + function translate(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + const m00 = m[0]; + const m01 = m[1]; + const m02 = m[2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const m20 = m[2 * 4 + 0]; + const m21 = m[2 * 4 + 1]; + const m22 = m[2 * 4 + 2]; + if (m !== newDst) { + newDst[0] = m00; + newDst[1] = m01; + newDst[2] = m02; + newDst[4] = m10; + newDst[5] = m11; + newDst[6] = m12; + } + newDst[8] = m00 * v0 + m10 * v1 + m20; + newDst[9] = m01 * v0 + m11 * v1 + m21; + newDst[10] = m02 * v0 + m12 * v1 + m22; + return newDst; + } + /** + * Creates a 3-by-3 matrix which rotates by the given angle. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotation matrix. + */ + function rotation(angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c; + newDst[1] = s; + newDst[2] = 0; + newDst[4] = -s; + newDst[5] = c; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; return newDst; } /** - * Rotate a 3D vector around the y-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns the rotated vector + * Rotates the given 3-by-3 matrix by the given angle. + * @param m - The matrix. + * @param angleInRadians - The angle by which to rotate (in radians). + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The rotated matrix. */ - function rotateY(a, b, rad, dst) { - const newDst = (dst ?? new Ctor(3)); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad); - r[1] = p[1]; - r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); - // translate to correct position - newDst[0] = r[0] + b[0]; - newDst[1] = r[1] + b[1]; - newDst[2] = r[2] + b[2]; + function rotate(m, angleInRadians, dst) { + const newDst = (dst ?? new Ctor(12)); + const m00 = m[0 * 4 + 0]; + const m01 = m[0 * 4 + 1]; + const m02 = m[0 * 4 + 2]; + const m10 = m[1 * 4 + 0]; + const m11 = m[1 * 4 + 1]; + const m12 = m[1 * 4 + 2]; + const c = Math.cos(angleInRadians); + const s = Math.sin(angleInRadians); + newDst[0] = c * m00 + s * m10; + newDst[1] = c * m01 + s * m11; + newDst[2] = c * m02 + s * m12; + newDst[4] = c * m10 - s * m00; + newDst[5] = c * m11 - s * m01; + newDst[6] = c * m12 - s * m02; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } return newDst; } /** - * Rotate a 3D vector around the z-axis - * - * @param {ReadonlyVec3} a The vec3 point to rotate - * @param {ReadonlyVec3} b The origin of the rotation - * @param {Number} rad The angle of rotation in radians - * @param dst - The vector to set. If not passed a new one is created. - * @returns {vec3} out + * Creates a 3-by-3 matrix which scales in each dimension by an amount given by + * the corresponding entry in the given vector; assumes the vector has three + * entries. + * @param v - A vector of + * 2 entries specifying the factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. */ - function rotateZ(a, b, rad, dst) { - const newDst = (dst ?? new Ctor(3)); - const p = []; - const r = []; - // translate point to the origin - p[0] = a[0] - b[0]; - p[1] = a[1] - b[1]; - p[2] = a[2] - b[2]; - // perform rotation - r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad); - r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad); - r[2] = p[2]; - // translate to correct position - newDst[0] = r[0] + b[0]; - newDst[1] = r[1] + b[1]; - newDst[2] = r[2] + b[2]; + function scaling(v, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = v[0]; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = v[1]; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; return newDst; } /** - * Treat a 3D vector as a direction and set it's length - * - * @param a The vec3 to lengthen - * @param len The length of the resulting vector - * @returns The lengthened vector + * Scales the given 3-by-3 matrix in each dimension by an amount + * given by the corresponding entry in the given vector; assumes the vector has + * three entries. + * @param m - The matrix to be modified. + * @param v - A vector of 2 entries specifying the + * factor by which to scale in each dimension. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. */ - function setLength(a, len, dst) { - const newDst = (dst ?? new Ctor(3)); - normalize(a, newDst); - return mulScalar(newDst, len, newDst); + function scale(m, v, dst) { + const newDst = (dst ?? new Ctor(12)); + const v0 = v[0]; + const v1 = v[1]; + newDst[0] = v0 * m[0 * 4 + 0]; + newDst[1] = v0 * m[0 * 4 + 1]; + newDst[2] = v0 * m[0 * 4 + 2]; + newDst[4] = v1 * m[1 * 4 + 0]; + newDst[5] = v1 * m[1 * 4 + 1]; + newDst[6] = v1 * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } /** - * Ensure a vector is not longer than a max length - * - * @param a The vec3 to limit - * @param maxLen The longest length of the resulting vector - * @returns The vector, shortened to maxLen if it's too long + * Creates a 3-by-3 matrix which scales uniformly in each dimension + * @param s - Amount to scale + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaling matrix. */ - function truncate(a, maxLen, dst) { - const newDst = (dst ?? new Ctor(3)); - if (length(a) > maxLen) { - return setLength(a, maxLen, newDst); - } - return copy(a, newDst); + function uniformScaling(s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s; + newDst[1] = 0; + newDst[2] = 0; + newDst[4] = 0; + newDst[5] = s; + newDst[6] = 0; + newDst[8] = 0; + newDst[9] = 0; + newDst[10] = 1; + return newDst; } /** - * Return the vector exactly between 2 endpoint vectors - * - * @param a Endpoint 1 - * @param b Endpoint 2 - * @returns The vector exactly residing between endpoints 1 and 2 + * Scales the given 3-by-3 matrix in each dimension by an amount + * given. + * @param m - The matrix to be modified. + * @param s - Amount to scale. + * @param dst - matrix to hold result. If not passed a new one is created. + * @returns The scaled matrix. */ - function midpoint(a, b, dst) { - const newDst = (dst ?? new Ctor(3)); - return lerp(a, b, 0.5, newDst); + function uniformScale(m, s, dst) { + const newDst = (dst ?? new Ctor(12)); + newDst[0] = s * m[0 * 4 + 0]; + newDst[1] = s * m[0 * 4 + 1]; + newDst[2] = s * m[0 * 4 + 2]; + newDst[4] = s * m[1 * 4 + 0]; + newDst[5] = s * m[1 * 4 + 1]; + newDst[6] = s * m[1 * 4 + 2]; + if (m !== newDst) { + newDst[8] = m[8]; + newDst[9] = m[9]; + newDst[10] = m[10]; + } + return newDst; } return { + clone, create, - fromValues, set, - ceil, - floor, - round, - clamp, - add, - addScaled, - angle, - subtract, - sub, + fromMat4, + fromQuat, + negate, + copy, equalsApproximately, equals, - lerp, - lerpV, - max, - min, - mulScalar, - scale, - divScalar, + identity, + transpose, inverse, invert, - cross, - dot, - length, - len, - lengthSq, - lenSq, - distance, - dist, - distanceSq, - distSq, - normalize, - negate, - copy, - clone, - multiply, + determinant, mul, - divide, - div, - random, - zero, - transformMat4, - transformMat4Upper3x3, - transformMat3, - transformQuat, + multiply, + setTranslation, getTranslation, getAxis, + setAxis, getScaling, - rotateX, - rotateY, - rotateZ, - setLength, - truncate, - midpoint, + get3DScaling, + translation, + translate, + rotation, + rotate, + scaling, + scale, + uniformScaling, + uniformScale, }; } const cache$3 = new Map(); @@ -2428,7 +2451,7 @@ function getAPI$3(Ctor) { * Generates a typed API for Mat4 * */ function getAPIImpl$2(Ctor) { - const vec3 = getAPI$3(Ctor); + const vec3 = getAPI$4(Ctor); /** * 4x4 Matrix math math functions. * @@ -3123,11 +3146,11 @@ function getAPIImpl$2(Ctor) { newDst[off + 2] = v[2]; return newDst; } - ///** - // * Returns the scaling component of the matrix - // * @param m - The Matrix - // * @param dst - The vector to set. If not passed a new one is created. - // */ + /** + * Returns the "3d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ function getScaling(m, dst) { const newDst = (dst ?? vec3.create()); const xx = m[0]; @@ -4093,7 +4116,7 @@ function getAPI$2(Ctor) { * Generates am typed API for Qud * */ function getAPIImpl$1(Ctor) { - const vec3 = getAPI$3(Ctor); + const vec3 = getAPI$4(Ctor); /** * Creates a quat4; may be called with x, y, z to set initial values. * @param x - Initial x value. @@ -5541,7 +5564,7 @@ function getAPI(Ctor) { function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Ctor) { return { /** @namespace mat3 */ - mat3: getAPI$4(Mat3Ctor), + mat3: getAPI$3(Mat3Ctor), /** @namespace mat4 */ mat4: getAPI$2(Mat4Ctor), /** @namespace quat */ @@ -5549,7 +5572,7 @@ function wgpuMatrixAPI(Mat3Ctor, Mat4Ctor, QuatCtor, Vec2Ctor, Vec3Ctor, Vec4Cto /** @namespace vec2 */ vec2: getAPI$5(Vec2Ctor), /** @namespace vec3 */ - vec3: getAPI$3(Vec3Ctor), + vec3: getAPI$4(Vec3Ctor), /** @namespace vec4 */ vec4: getAPI(Vec4Ctor), }; diff --git a/dist/3.x/wgpu-matrix.module.js.map b/dist/3.x/wgpu-matrix.module.js.map index a12bd49..7fa2bd8 100644 --- a/dist/3.x/wgpu-matrix.module.js.map +++ b/dist/3.x/wgpu-matrix.module.js.map @@ -1 +1 @@ -{"version":3,"file":"wgpu-matrix.module.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/mat3-impl.ts","../../../src/vec3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["getAPIImpl","utils.EPSILON","cache","getAPI","getVec2API","getVec3API","getMat3API","getMat4API","getQuatAPI","getVec4API"],"mappings":";AAMA,SAAS,eAAe,CACtB,mBAAsB,EACtB,QAA6C,EAAA;IAE7C,OAAO,cAAc,mBAAmB,CAAA;AACtC,QAAA,WAAA,CAAY,GAAG,IAAW,EAAA;AACxB,YAAA,KAAK,CAAC,GAAG,IAAI,CAAC,CAAC;YACf,QAAQ,CAAC,IAAuB,CAAC,CAAC;SACnC;AACG,KAAA,CAAC;AACT,CAAC;AAEM,MAAM,SAAS,GAAG,eAAe,EAAC,KAAa,GAAE,CAAC,IAAI,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC;;AClBvE;;;;;;;;;;;;;;;;;;;;AAoBG;AAEI,IAAI,OAAO,GAAG,QAAQ,CAAC;AAE9B;;;;AAIG;AACG,SAAU,UAAU,CAAC,CAAS,EAAA;IAClC,MAAM,GAAG,GAAG,OAAO,CAAC;IACpB,OAAO,GAAG,CAAC,CAAC;AACZ,IAAA,OAAO,GAAG,CAAC;AACb,CAAC;AAED;;;;AAIG;AACG,SAAU,QAAQ,CAAC,OAAe,EAAA;AACtC,IAAA,OAAO,OAAO,GAAG,IAAI,CAAC,EAAE,GAAG,GAAG,CAAC;AACjC,CAAC;AAED;;;;AAIG;AACG,SAAU,QAAQ,CAAC,OAAe,EAAA;AACtC,IAAA,OAAO,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC,EAAE,CAAC;AACjC,CAAC;AAED;;;;;;AAMG;SACa,IAAI,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;IAClD,OAAO,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;AACzB,CAAC;AAED;;;;;;;;AAQG;SACa,WAAW,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;AACzD,IAAA,MAAM,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;IAChB,OAAO,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,OAAO;AAC9B,UAAE,CAAC;UACD,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;AACnB,CAAC;AAED;;;;;;;;;;;;;;AAcG;AACa,SAAA,eAAe,CAAC,CAAS,EAAE,CAAS,EAAA;IAClD,OAAO,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,CAAC,CAAC;AAC3B;;;;;;;;;;;;;ACjGA;;;;;;;;;;;;;;;;;;;;AAoBG;AAYH;;AAEG;AACH,SAASA,YAAU,CAAyC,IAAuB,EAAA;AAEnF;;;;;;;;;;;;;;;AAeG;IACH,SAAS,MAAM,CAAC,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC,EAAA;AAC1B,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE5B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE/C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;AACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAC1C,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAC1C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;AACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;KAC1B;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACvC;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;AACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;KAClC;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACrC;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC1B;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;QACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACrC;AAED;;;;;AAKG;IACH,MAAM,IAAI,GAAG,QAAQ,CAAC;AAEtB;;;;;AAKG;AACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;QACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC1B;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEzC,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;AAC1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;AACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;AAEpC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,IAAI,CAA8B,GAAO,EAAA;QAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEvC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;;QAGzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3B,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;AAG3B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEzC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;QACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KACvC;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;YACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;SACrC;AAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;KACxB;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KAChC;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,IAAI;QACJ,KAAK;QACL,KAAK;QACL,KAAK;QACL,GAAG;QACH,SAAS;QACT,KAAK;QACL,QAAQ;QACR,GAAG;QACH,mBAAmB;QACnB,MAAM;QACN,IAAI;QACJ,KAAK;QACL,GAAG;QACH,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,OAAO;QACP,MAAM;QACN,KAAK;QACL,GAAG;QACH,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,QAAQ;QACR,IAAI;QACJ,UAAU;QACV,MAAM;QACN,SAAS;QACT,MAAM;QACN,IAAI;QACJ,KAAK;QACL,QAAQ;QACR,GAAG;QACH,MAAM;QACN,GAAG;QACH,MAAM;QACN,IAAI;QACJ,aAAa;QACb,aAAa;QACb,MAAM;QACN,SAAS;QACT,QAAQ;QACR,QAAQ;KACT,CAAC;AACF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;AC1yBA;;;;;;;;;;;;;;;;;;;;AAoBG;AAcH;;AAEK;AACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;AACjF,IAAA,MAAM,IAAI,GAAGI,QAAU,CAAU,IAAI,CAAC,CAAC;AAEzC;;;;;;;;;;;;;;;;;;;;;;AAsBG;AACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EAAA;AACvC,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;;AAE5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4CAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;yCACjB;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;SACF;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;AAeG;IACH,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,GAAO,EAAA;QAC7C,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAC1C,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAC7E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;QAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEhG,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;AAEhE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAE7D,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGH,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;KAChD;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;QACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;YACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;KACxB;AAED;;;;;AAKG;IACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;QACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEjD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;AAChB,YAAA,IAAI,CAAS,CAAC;;;;AAMd,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,OAAO,MAAM,CAAC;SACf;QAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAEvD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAEzB,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;QACnC,MAAM,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;QACnC,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAEnC,QAAA,MAAM,MAAM,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;AAEv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f;AAED;;;;AAIG;IACH,SAAS,WAAW,CAAC,CAAU,EAAA;QAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAEzB,OAAO,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;KACtC;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAE/C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;AACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;SACpB;QACD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;QACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;AAC3C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QACzF,MAAM,MAAM,IAAI,GAAG,KAAK,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAM,CAAC;AAEnD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;;;;;;AAOD,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;AAEtC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEzC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;QACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACvD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEvD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;AAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;SAClB;AAED,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AACvC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AACvC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAEvC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAElD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACtF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAE/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAG/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEvD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEh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hB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;QACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEjD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAE9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;IAED,OAAO;QACL,KAAK;QACL,MAAM;QACN,GAAG;QACH,QAAQ;QACR,QAAQ;QACR,MAAM;QACN,IAAI;QACJ,mBAAmB;QACnB,MAAM;QACN,QAAQ;QACR,SAAS;QACT,OAAO;QACP,MAAM;QACN,WAAW;QACX,GAAG;QACH,QAAQ;QACR,cAAc;QACd,cAAc;QACd,OAAO;QACP,OAAO;QACP,UAAU;QACV,WAAW;QACX,SAAS;QACT,QAAQ;QACR,MAAM;QACN,OAAO;QACP,KAAK;QACL,cAAc;QACd,YAAY;KACb,CAAC;AAEF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;ACvwBA;;;;;;;;;;;;;;;;;;;;AAoBG;AAYH;;AAEK;AACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;AAEnF;;;;;;AAMG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;AAChD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;iBACf;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;;AASG;IACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE5B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE/C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;AACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACpD,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACpD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;AACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;KAC1B;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACxD;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACtC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;AACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;KACtD;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KAC/C;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KACpC;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;QACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KAC/C;AAED;;;;;AAKG;IACH,MAAM,IAAI,GAAG,QAAQ,CAAC;AAEtB;;;;;AAKG;AACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;QACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KACpC;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEnD,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAGD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;QAC1C,MAAM,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAChC,QAAA,MAAM,MAAM,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC;AAC5C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;AACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;AACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,KAAK,CAAC;AAEtB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,IAAI,CAA8B,GAAO,EAAA;QAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC;AAEzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;AACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;AACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;AAE1D,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,qBAAqB,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEtE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAE5C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEpB,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;QAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;QAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;QAE5B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;QACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;QACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;AAErD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;QACpE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,OAAO,MAAM,CAAC;KACjB;AACD;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QAC3E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACjB;AACD;;;;AAIG;AACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACnD,QAAA,OAAO,MAAM,CAAC;KACjB;AAED;;;;;;;;AAQG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,EAAE,CAAC;QACb,MAAM,CAAC,GAAG,EAAE,CAAC;;AAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;QAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;AAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,EAAE,CAAC;QACb,MAAM,CAAC,GAAG,EAAE,CAAC;;AAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;QAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;AAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,EAAE,CAAC;QACb,MAAM,CAAC,GAAG,EAAE,CAAC;;AAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;QAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;AAGZ,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;QACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KACvC;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;YACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;SACrC;AAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;KACxB;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KAChC;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,IAAI;QACJ,KAAK;QACL,KAAK;QACL,KAAK;QACL,GAAG;QACH,SAAS;QACT,KAAK;QACL,QAAQ;QACR,GAAG;QACH,mBAAmB;QACnB,MAAM;QACN,IAAI;QACJ,KAAK;QACL,GAAG;QACH,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,OAAO;QACP,MAAM;QACN,KAAK;QACL,GAAG;QACH,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,QAAQ;QACR,IAAI;QACJ,UAAU;QACV,MAAM;QACN,SAAS;QACT,MAAM;QACN,IAAI;QACJ,KAAK;QACL,QAAQ;QACR,GAAG;QACH,MAAM;QACN,GAAG;QACH,MAAM;QACN,IAAI;QACJ,aAAa;QACb,qBAAqB;QACrB,aAAa;QACb,aAAa;QACb,cAAc;QACd,OAAO;QACP,UAAU;QACV,OAAO;QACP,OAAO;QACP,OAAO;QACP,SAAS;QACT,QAAQ;QACR,QAAQ;KACT,CAAC;AAEF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;ACx/BA;;AAEK;AACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;AACjF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAU,IAAI,CAAC,CAAC;AAEzC;;;;;;;;;;;;;;;;;;;;;;AAsBG;AAGH;;;;;;;;;;;;;;;;;;;;;;;;;;;;;AA6BG;AACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,GAAY,EAAE,GAAY,EACpD,GAAY,EAAE,GAAY,EAAE,GAAY,EAAE,GAAY,EAAA;AACxD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;AAC5B,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4CAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,4CAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gDAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,oDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,oDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,wDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,wDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,4DAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,4DAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,gEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,gEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,oEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,oEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,wEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;qEAClB;iEACF;6DACF;yDACF;qDACF;iDACF;6CACF;yCACF;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;;;;;;AAsBG;AACH,IAAA,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,GAAW,EAAE,GAAW,EAChD,GAAW,EAAE,GAAW,EAAE,GAAW,EAAE,GAAW,EAClD,GAAO,EAAA;QACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAC1E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAE1E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAC/E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAO,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAE/E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;QAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEhG,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QACtF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;AAEtF,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAElF,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGJ,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;KAChD;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;QACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;YACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;KACxB;AAED;;;;;AAKG;IACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;QACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAElE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;AAChB,YAAA,IAAI,CAAC,CAAC;AAEN,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEV,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEV,YAAA,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACV,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AACd,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACV,YAAA,OAAO,MAAM,CAAC;SACf;QAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEz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f;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AACzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;QAE5C,MAAM,CAAC,GAAG,CAAC,IAAI,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC,CAAC;AAE1D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;AAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;AAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AAEnD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,WAAW,CAAC,CAAU,EAAA;QAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;AACnD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;AAEnD,QAAA,OAAO,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC;KAClD;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;AACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;AAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAE3D,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;AACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;QACD,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,OAAO,MAAM,CAAC;KACf;;;;;;;;AASD,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;QACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;AACtC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAM,EAAA;QACxF,MAAM,MAAM,GAAG,CAAC,GAAG,KAAK,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC;AAEhD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;;;;;;AAOD,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;AAE3C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAEjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEnD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;;;;;;;;AAwBG;IACH,SAAS,WAAW,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAY,EAAE,GAAO,EAAA;QACnI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,IAAI,CAAC,EAAE,GAAG,GAAG,GAAG,GAAG,GAAG,qBAAqB,CAAC,CAAC;AAEhE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,MAAM,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,MAAM,CAAC,QAAQ,CAAC,IAAI,CAAC,EAAE;YACzB,MAAM,QAAQ,GAAG,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;YAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;SACtC;aAAM;AACL,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAChB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,CAAC;SACrB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;;;;AAoBG,QAAA,SAAS,mBAAmB,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAI,GAAG,QAAQ,EAAE,GAAO,EAAA;QACjJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,qBAAqB,GAAG,GAAG,CAAC,CAAC;AAEpD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC;AACxB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,IAAI,KAAK,QAAQ,EAAE;AACrB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC;SACpB;aAAM;YACL,MAAM,QAAQ,GAAG,CAAC,IAAI,IAAI,GAAG,KAAK,CAAC,CAAC;AACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,GAAG,QAAQ,CAAC;YAC9B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;SACtC;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;AAcG;AACH,IAAA,SAAS,KAAK,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;QACtI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;QACf,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;QACf,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,GAAG,IAAI,KAAK,IAAI,GAAG,KAAK,CAAC,CAAC;AAC7C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,KAAK,MAAM,GAAG,GAAG,CAAC,CAAC;QAC7C,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;AAiBG;AACH,IAAA,SAAS,OAAO,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;QACxI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;AAC1B,QAAA,MAAM,EAAE,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;QAExB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;QACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;AACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,CAAC;AACtB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,GAAG,GAAG,EAAE,CAAC;AAC7B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;AAiBG;AACH,IAAA,SAAS,eAAe,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAG,GAAG,QAAQ,EAAE,GAAO,EAAA;QACnJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;QAE1B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;QACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;AACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,GAAG,KAAK,QAAQ,EAAE;AACpB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,CAAC;SACnB;aAAM;YACL,MAAM,QAAQ,GAAG,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC;AAClC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;YAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,IAAI,GAAG,QAAQ,CAAC;SACpC;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAE5B;;;;;;;;;;;;;AAaG;IACH,SAAS,GAAG,CAA8B,QAAiB,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;QAChG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,MAAM,EAAE,QAAQ,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AAC9D,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;QAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEhG,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;AAaG;IACH,SAAS,SAAS,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;QACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;QAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEjF,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;AAWG;IACH,SAAS,MAAM,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;QAC9F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;QAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEv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f,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;QACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QAC3E,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAE3E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;AAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;SAClB;AAED,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAElD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;AACH,IAAA,SAAS,YAAY,CAA8B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;QAC/F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAC3C,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;AACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;QACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAE7B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAC/B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,MAAM,QAAQ,GAAG,YAAY,CAAC;AAE9B;;;;;;;;;AASG;IACH,SAAS,UAAU,CAA8B,CAAU,EAAE,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;QACzG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAC3C,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;AACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;QACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAE7B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;QAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;QAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAE9B,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAElB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAE/C,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;;;;AAQG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAAK,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAE3E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEh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hB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;QACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAElE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;IAED,OAAO;QACL,MAAM;QACN,GAAG;QACH,QAAQ;QACR,QAAQ;QACR,MAAM;QACN,IAAI;QACJ,KAAK;QACL,mBAAmB;QACnB,MAAM;QACN,QAAQ;QACR,SAAS;QACT,OAAO;QACP,WAAW;QACX,MAAM;QACN,QAAQ;QACR,GAAG;QACH,cAAc;QACd,cAAc;QACd,OAAO;QACP,OAAO;QACP,UAAU;QACV,WAAW;QACX,mBAAmB;QACnB,KAAK;QACL,OAAO;QACP,eAAe;QACf,GAAG;QACH,SAAS;QACT,MAAM;QACN,WAAW;QACX,SAAS;QACT,SAAS;QACT,OAAO;QACP,SAAS;QACT,OAAO;QACP,SAAS;QACT,OAAO;QACP,YAAY;QACZ,QAAQ;QACR,UAAU;QACV,MAAM;QACN,OAAO;QACP,KAAK;QACL,cAAc;QACd,YAAY;KACb,CAAC;AAEF,CAAC;AAKD,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;AC1mDA;;;;;;;;;;;;;;;;;;;;AAoBG;AAeH;;AAEK;AACL,SAASF,YAAU,CAA0C,IAAwB,EAAA;AACnF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAW,IAAI,CAAC,CAAC;AAE1C;;;;;;;AAOG;IACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;AAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;qBACf;iBACF;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;;;AAUG;IACH,SAAS,GAAG,CAA+B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQI;AACJ,IAAA,SAAS,aAAa,CAA+B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;QACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;QACvC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE9B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;QACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;QACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;QACxB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,WAAW,CAA+B,CAAU,EAAE,GAAO,EAAA;AACpE,QAAA,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,CAAC,CAAC,CAAC,CAAM,CAAC;AAE5C,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QAClC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,GAAG,GAAG,CAAC,CAAC;AAChC,QAAA,IAAI,CAAC,GAAGJ,OAAa,EAAE;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,EAAE,KAAK,EAAE,IAAI,EAAE,MAAM,EAAE,CAAC;KAChC;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;QACnC,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC;AACpB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;KACjC;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAElD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;AAMG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;AAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAE9B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;AAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAE9B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;AAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAE9B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;IACH,SAAS,KAAK,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEd,QAAA,IAAI,QAAQ,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAErD,QAAA,IAAI,QAAQ,GAAG,CAAC,EAAE;YAChB,QAAQ,GAAG,CAAC,QAAQ,CAAC;YACrB,EAAE,GAAG,CAAC,EAAE,CAAC;YACT,EAAE,GAAG,CAAC,EAAE,CAAC;YACT,EAAE,GAAG,CAAC,EAAE,CAAC;YACT,EAAE,GAAG,CAAC,EAAE,CAAC;SACV;AAED,QAAA,IAAI,MAAM,CAAC;AACX,QAAA,IAAI,MAAM,CAAC;QAEX,IAAI,GAAG,GAAG,QAAQ,GAAGA,OAAa,EAAE;YAClC,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,QAAQ,CAAC,CAAC;YAClC,MAAM,QAAQ,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,CAAC;AACjC,YAAA,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,KAAK,CAAC,GAAG,QAAQ,CAAC;YAC9C,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC,GAAG,QAAQ,CAAC;SACzC;aAAM;AACL,YAAA,MAAM,GAAG,GAAG,GAAG,CAAC,CAAC;YACjB,MAAM,GAAG,CAAC,CAAC;SACZ;QAED,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;QACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;QACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;QACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;AAEtC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,GAAG,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,MAAM,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,CAAC;QAEjC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;QACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;QACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;AACzB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,EAAE,GAAG,MAAM,CAAC;AAEzB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAoB,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC;;;;;;;;AAQG;;;AAIH,QAAA,MAAM,KAAK,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAElC,QAAA,IAAI,KAAK,GAAG,GAAG,EAAE;;AAEf,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,KAAK,GAAG,CAAC,CAAC,CAAC;AAClC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;AACvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;AAE3B,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;AACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;AACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;SACrC;aAAM;;YAEL,IAAI,CAAC,GAAG,CAAC,CAAC;YAEV,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,EAAE;gBACf,CAAC,GAAG,CAAC,CAAC;aACP;AACD,YAAA,IAAI,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE;gBACxB,CAAC,GAAG,CAAC,CAAC;aACP;YAED,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;YACtB,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;AAEtB,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC;AACzE,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;AAEvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;YAE3B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;YACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;YACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;SACrD;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,SAAS,CACd,eAAuB,EACvB,eAAuB,EACvB,eAAuB,EACvB,KAAoB,EACpB,GAAO,EAAA;QACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;AACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;AACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;QAEzC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAEhC,QAAQ,KAAK;AACX,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA;AACE,gBAAA,MAAM,IAAI,KAAK,CAAC,2BAA2B,KAAK,CAAA,CAAE,CAAC,CAAC;SACvD;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA+B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACxE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;QACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;KACtE;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACpF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACzD;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC9C;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACzE;AAED;;;;AAIG;IACH,SAAS,QAAQ,CAA+B,GAAO,EAAA;QACrD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED,IAAA,MAAM,QAAQ,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAC/B,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAChC,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAEhC;;;;;;;AAOG;AACH,IAAA,SAAS,UAAU,CAA+B,KAAc,EAAE,KAAc,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,GAAG,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,EAAE,KAAK,CAAC,CAAC;AACnC,QAAA,IAAI,GAAG,GAAG,CAAC,QAAQ,EAAE;YACnB,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;YACvC,IAAI,IAAI,CAAC,GAAG,CAAC,QAAQ,CAAC,GAAG,QAAQ,EAAE;gBACjC,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;aACxC;AAED,YAAA,IAAI,CAAC,SAAS,CAAC,QAAQ,EAAE,QAAQ,CAAC,CAAC;YACnC,aAAa,CAAC,QAAQ,EAAE,IAAI,CAAC,EAAE,EAAE,MAAM,CAAC,CAAC;AAEzC,YAAA,OAAO,MAAM,CAAC;SACf;AAAM,aAAA,IAAI,GAAG,GAAG,QAAQ,EAAE;AACzB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,YAAA,OAAO,MAAM,CAAC;SACf;aAAM;YACL,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;YAEnC,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;AACxB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,CAAC;AAEpB,YAAA,OAAO,SAAS,CAAC,MAAM,EAAE,MAAM,CAAC,CAAC;SAClC;KACF;AAED,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC9B,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAE9B;;;;;;;;;AASG;AACH,IAAA,SAAS,MAAM,CACX,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAS,EACT,GAAO,EAAA;QACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;QAC1B,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;AAC1B,QAAA,KAAK,CAAC,SAAS,EAAE,SAAS,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;AAErD,QAAA,OAAO,MAAM,CAAC;KACf;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,aAAa;QACb,WAAW;QACX,KAAK;QACL,QAAQ;QACR,GAAG;QACH,OAAO;QACP,OAAO;QACP,OAAO;QACP,KAAK;QACL,OAAO;QACP,SAAS;QACT,OAAO;QACP,SAAS;QACT,IAAI;QACJ,KAAK;QACL,GAAG;QACH,QAAQ;QACR,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,GAAG;QACH,IAAI;QACJ,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,SAAS;QACT,mBAAmB;QACnB,MAAM;QACN,QAAQ;QACR,UAAU;QACV,MAAM;KACP,CAAC;AAEF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAExB;;;;;;;;;;;;;;;;;;;;;AAqBG;AACG,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;AC35BA;;;;;;;;;;;;;;;;;;;;AAoBG;AAUH;;AAEK;AACL,SAAS,UAAU,CAAyC,IAAuB,EAAA;AAEnF;;;;;;;AAOG;IACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;AAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;qBACf;iBACF;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;;;AAUG;IACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QAC3F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE5B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEz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f;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGD,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACzE;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;QACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;KACtE;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACzD;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC9C;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;QACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACzD;AAED;;;;;AAKG;IACH,MAAM,IAAI,GAAG,QAAQ,CAAC;AAEtB;;;;;AAKG;AACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;QACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC9C;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,IAAI,CAA8B,GAAO,EAAA;QAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAExD,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;QACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KACvC;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;YACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;SACrC;AAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;KACxB;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KAChC;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,IAAI;QACJ,KAAK;QACL,KAAK;QACL,KAAK;QACL,GAAG;QACH,SAAS;QACT,QAAQ;QACR,GAAG;QACH,mBAAmB;QACnB,MAAM;QACN,IAAI;QACJ,KAAK;QACL,GAAG;QACH,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,OAAO;QACP,MAAM;QACN,GAAG;QACH,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,QAAQ;QACR,IAAI;QACJ,UAAU;QACV,MAAM;QACN,SAAS;QACT,MAAM;QACN,IAAI;QACJ,KAAK;QACL,QAAQ;QACR,GAAG;QACH,MAAM;QACN,GAAG;QACH,IAAI;QACJ,aAAa;QACb,SAAS;QACT,QAAQ;QACR,QAAQ;KACT,CAAC;AACF,CAAC;AAID,MAAM,KAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAExB;;;;;;;;;;;;;;;;;;;;;AAqBG;AACG,SAAU,MAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAG,KAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAG,UAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAA,KAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;ACvxBA;;;AAGG;AAsDH;;AAEG;AACH,SAAS,aAAa,CAQlB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EAAA;IAE1B,OAAO;;AAEL,QAAA,IAAI,EAAEK,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEJ,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEI,MAAU,CAAO,QAAQ,CAAC;KACjC,CAAC;AACJ,CAAC;AAEY,MAAA;AACX;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI,GACL,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,MAAA;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,MAAA;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,SAAS,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK;;;;"} \ No newline at end of file +{"version":3,"file":"wgpu-matrix.module.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/vec3-impl.ts","../../../src/mat3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n const vec3 = getVec3API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n/**\n * Returns the \"2d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction get3DScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec3.create());\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n get3DScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["getAPIImpl","utils.EPSILON","cache","getAPI","getVec2API","getVec3API","getMat3API","getMat4API","getQuatAPI","getVec4API"],"mappings":";AAMA,SAAS,eAAe,CACtB,mBAAsB,EACtB,QAA6C,EAAA;IAE7C,OAAO,cAAc,mBAAmB,CAAA;AACtC,QAAA,WAAA,CAAY,GAAG,IAAW,EAAA;AACxB,YAAA,KAAK,CAAC,GAAG,IAAI,CAAC,CAAC;YACf,QAAQ,CAAC,IAAuB,CAAC,CAAC;SACnC;AACG,KAAA,CAAC;AACT,CAAC;AAEM,MAAM,SAAS,GAAG,eAAe,EAAC,KAAa,GAAE,CAAC,IAAI,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC;;AClBvE;;;;;;;;;;;;;;;;;;;;AAoBG;AAEI,IAAI,OAAO,GAAG,QAAQ,CAAC;AAE9B;;;;AAIG;AACG,SAAU,UAAU,CAAC,CAAS,EAAA;IAClC,MAAM,GAAG,GAAG,OAAO,CAAC;IACpB,OAAO,GAAG,CAAC,CAAC;AACZ,IAAA,OAAO,GAAG,CAAC;AACb,CAAC;AAED;;;;AAIG;AACG,SAAU,QAAQ,CAAC,OAAe,EAAA;AACtC,IAAA,OAAO,OAAO,GAAG,IAAI,CAAC,EAAE,GAAG,GAAG,CAAC;AACjC,CAAC;AAED;;;;AAIG;AACG,SAAU,QAAQ,CAAC,OAAe,EAAA;AACtC,IAAA,OAAO,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC,EAAE,CAAC;AACjC,CAAC;AAED;;;;;;AAMG;SACa,IAAI,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;IAClD,OAAO,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;AACzB,CAAC;AAED;;;;;;;;AAQG;SACa,WAAW,CAAC,CAAS,EAAE,CAAS,EAAE,CAAS,EAAA;AACzD,IAAA,MAAM,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;IAChB,OAAO,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,OAAO;AAC9B,UAAE,CAAC;UACD,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;AACnB,CAAC;AAED;;;;;;;;;;;;;;AAcG;AACa,SAAA,eAAe,CAAC,CAAS,EAAE,CAAS,EAAA;IAClD,OAAO,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,CAAC,CAAC;AAC3B;;;;;;;;;;;;;ACjGA;;;;;;;;;;;;;;;;;;;;AAoBG;AAYH;;AAEG;AACH,SAASA,YAAU,CAAyC,IAAuB,EAAA;AAEnF;;;;;;;;;;;;;;;AAeG;IACH,SAAS,MAAM,CAAC,CAAC,GAAG,CAAC,EAAE,CAAC,GAAG,CAAC,EAAA;AAC1B,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;aACf;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE5B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE/C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;AACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAC1C,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAC1C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;AACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;KAC1B;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACvC;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;AACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;KAClC;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACrC;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC1B;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;QACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACrC;AAED;;;;;AAKG;IACH,MAAM,IAAI,GAAG,QAAQ,CAAC;AAEtB;;;;;AAKG;AACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;QACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC1B;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEzC,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;AAC1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;AACpC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,KAAK,CAAC;AAEpC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,IAAI,CAA8B,GAAO,EAAA;QAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEvC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;;QAGzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3B,MAAM,IAAI,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;AAG3B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,IAAI,GAAG,EAAE,GAAG,IAAI,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEzC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;QACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KACvC;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;YACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;SACrC;AAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;KACxB;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KAChC;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,IAAI;QACJ,KAAK;QACL,KAAK;QACL,KAAK;QACL,GAAG;QACH,SAAS;QACT,KAAK;QACL,QAAQ;QACR,GAAG;QACH,mBAAmB;QACnB,MAAM;QACN,IAAI;QACJ,KAAK;QACL,GAAG;QACH,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,OAAO;QACP,MAAM;QACN,KAAK;QACL,GAAG;QACH,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,QAAQ;QACR,IAAI;QACJ,UAAU;QACV,MAAM;QACN,SAAS;QACT,MAAM;QACN,IAAI;QACJ,KAAK;QACL,QAAQ;QACR,GAAG;QACH,MAAM;QACN,GAAG;QACH,MAAM;QACN,IAAI;QACJ,aAAa;QACb,aAAa;QACb,MAAM;QACN,SAAS;QACT,QAAQ;QACR,QAAQ;KACT,CAAC;AACF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;AC1yBA;;;;;;;;;;;;;;;;;;;;AAoBG;AAYH;;AAEK;AACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;AAEnF;;;;;;AAMG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;AAChD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;iBACf;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;;AASG;IACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE5B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAC/C,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,IAAI,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE/C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;AACnC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACpD,QAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACpD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,IAAI,CAAC;AACxB,QAAA,MAAM,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACtC,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,MAAM,CAAC,CAAC;KAC1B;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGC,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACxD;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACtC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;AACjC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;KACtD;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KAC/C;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KACpC;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;QACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KAC/C;AAED;;;;;AAKG;IACH,MAAM,IAAI,GAAG,QAAQ,CAAC;AAEtB;;;;;AAKG;AACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;QACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KACpC;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEnD,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAGD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,KAAK,GAAG,CAAC,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,IAAI,CAAC,EAAE,CAAC;QAC1C,MAAM,CAAC,GAAG,IAAI,CAAC,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAChC,QAAA,MAAM,MAAM,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC;AAC5C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;AACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,GAAG,MAAM,CAAC;AACrC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,KAAK,CAAC;AAEtB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,IAAI,CAA8B,GAAO,EAAA;QAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC;AAEzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;AACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;AACzD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,IAAI,CAAC,CAAC;AAE1D,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,qBAAqB,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AACtE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEtE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAE5C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEpB,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEf,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;QAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;QAC5B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC;QAE5B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;QACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;QACrD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,CAAC,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,IAAI,CAAC,CAAC;AAErD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;QACpE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,OAAO,MAAM,CAAC;KACjB;AACD;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QAC3E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACjB;AACD;;;;AAIG;AACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACnD,QAAA,OAAO,MAAM,CAAC;KACjB;AAED;;;;;;;;AAQG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,EAAE,CAAC;QACb,MAAM,CAAC,GAAG,EAAE,CAAC;;AAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;QAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;AAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,EAAE,CAAC;QACb,MAAM,CAAC,GAAG,EAAE,CAAC;;AAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;QAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACZ,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;;AAGnD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,MAAM,CAAC,GAAG,EAAE,CAAC;QACb,MAAM,CAAC,GAAG,EAAE,CAAC;;AAGb,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACnB,QAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;QAGnB,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC;QACnD,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;;AAGZ,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;QACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KACvC;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;YACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;SACrC;AAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;KACxB;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KAChC;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,IAAI;QACJ,KAAK;QACL,KAAK;QACL,KAAK;QACL,GAAG;QACH,SAAS;QACT,KAAK;QACL,QAAQ;QACR,GAAG;QACH,mBAAmB;QACnB,MAAM;QACN,IAAI;QACJ,KAAK;QACL,GAAG;QACH,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,OAAO;QACP,MAAM;QACN,KAAK;QACL,GAAG;QACH,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,QAAQ;QACR,IAAI;QACJ,UAAU;QACV,MAAM;QACN,SAAS;QACT,MAAM;QACN,IAAI;QACJ,KAAK;QACL,QAAQ;QACR,GAAG;QACH,MAAM;QACN,GAAG;QACH,MAAM;QACN,IAAI;QACJ,aAAa;QACb,qBAAqB;QACrB,aAAa;QACb,aAAa;QACb,cAAc;QACd,OAAO;QACP,UAAU;QACV,OAAO;QACP,OAAO;QACP,OAAO;QACP,SAAS;QACT,QAAQ;QACR,QAAQ;KACT,CAAC;AAEF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;ACpgCA;;;;;;;;;;;;;;;;;;;;AAoBG;AAgBH;;AAEK;AACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;AACjF,IAAA,MAAM,IAAI,GAAGI,QAAU,CAAU,IAAI,CAAC,CAAC;AACvC,IAAA,MAAM,IAAI,GAAGC,QAAU,CAAU,IAAI,CAAC,CAAC;AAEzC;;;;;;;;;;;;;;;;;;;;;;AAsBG;AACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EACrC,EAAW,EAAE,EAAW,EAAE,EAAW,EAAA;AACvC,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;;AAE5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4CAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;yCACjB;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;SACF;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;AAeG;IACH,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAClC,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,GAAO,EAAA;QAC7C,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAC1C,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC7E,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAC7E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;QAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEhG,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAChE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;AAEhE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAC7D,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAE7D,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGJ,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;KAChD;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;QACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;YACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;KACxB;AAED;;;;;AAKG;IACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;QACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEjD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;AAChB,YAAA,IAAI,CAAS,CAAC;;;;AAMd,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,OAAO,MAAM,CAAC;SACf;QAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAEvD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAEzB,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;QACnC,MAAM,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;QACnC,MAAM,GAAG,GAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAEnC,QAAA,MAAM,MAAM,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;AAEv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f;AAED;;;;AAIG;IACH,SAAS,WAAW,CAAC,CAAU,EAAA;QAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAEzB,OAAO,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;YAC7B,GAAG,IAAI,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC,CAAC;KACtC;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAE/C,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;AACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;SACpB;QACD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;QACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;AAC3C,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QACzF,MAAM,MAAM,IAAI,GAAG,KAAK,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAM,CAAC;AAEnD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;AACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;AAEtC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AACzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEzC,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;AAIG;AACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,GAAO,EAAA;QACpE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;AAEtC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAEjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEnD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;QACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACvD,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEvD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;AAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;SAClB;AAED,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AACvC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AACvC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAEvC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAElD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACtF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAE/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAG/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACvD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEvD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEh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hB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;QACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEjD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAE9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;IAED,OAAO;QACL,KAAK;QACL,MAAM;QACN,GAAG;QACH,QAAQ;QACR,QAAQ;QACR,MAAM;QACN,IAAI;QACJ,mBAAmB;QACnB,MAAM;QACN,QAAQ;QACR,SAAS;QACT,OAAO;QACP,MAAM;QACN,WAAW;QACX,GAAG;QACH,QAAQ;QACR,cAAc;QACd,cAAc;QACd,OAAO;QACP,OAAO;QACP,UAAU;QACV,YAAY;QACZ,WAAW;QACX,SAAS;QACT,QAAQ;QACR,MAAM;QACN,OAAO;QACP,KAAK;QACL,cAAc;QACd,YAAY;KACb,CAAC;AAEF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;ACzxBA;;AAEK;AACL,SAASF,YAAU,CAAyC,IAAuB,EAAA;AACjF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAU,IAAI,CAAC,CAAC;AAEzC;;;;;;;;;;;;;;;;;;;;;;AAsBG;AAGH;;;;;;;;;;;;;;;;;;;;;;;;;;;;;AA6BG;AACH,IAAA,SAAS,MAAM,CACX,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,EAAW,EAAE,EAAW,EAClD,EAAW,EAAE,EAAW,EAAE,GAAY,EAAE,GAAY,EACpD,GAAY,EAAE,GAAY,EAAE,GAAY,EAAE,GAAY,EAAA;AACxD,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,EAAE,CAAC,CAAC;AAC5B,QAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,YAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wBAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4BAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,4BAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,oCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,oCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,wCAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,wCAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,4CAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,4CAAA,IAAI,EAAE,KAAK,SAAS,EAAE;AACpB,gDAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,CAAC;AACf,gDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,oDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,oDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,wDAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,wDAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,4DAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,4DAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,gEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,gEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,oEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,oEAAA,IAAI,GAAG,KAAK,SAAS,EAAE;AACrB,wEAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;qEAClB;iEACF;6DACF;yDACF;qDACF;iDACF;6CACF;yCACF;qCACF;iCACF;6BACF;yBACF;qBACF;iBACF;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;;;;;;AAsBG;AACH,IAAA,SAAS,GAAG,CACR,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,EAAU,EAAE,EAAU,EAC9C,EAAU,EAAE,EAAU,EAAE,GAAW,EAAE,GAAW,EAChD,GAAW,EAAE,GAAW,EAAE,GAAW,EAAE,GAAW,EAClD,GAAO,EAAA;QACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AACzE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC;AAAG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAC1E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AAE1E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,EAAW,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAE,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAC/E,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,CAAC,EAAE,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAC/E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAM,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAO,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAE/E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAC/D,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAAC,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AAErD,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;AAClB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,EAAE,CAAC;QAElB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAM,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;QAAM,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,EAAE,GAAG,EAAE,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAChG,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAY,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEhG,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QACtF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QACtF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC;AAEtF,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAClF,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClF,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAElF,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGJ,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa;AACvC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,GAAGA,OAAa,CAAC;KAChD;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;QACpC,OAAO,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAE,CAAC,CAAC,KAAK,CAAC,CAAE,CAAC,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;AACf,YAAA,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC;YACf,CAAC,CAAC,EAAE,CAAC,KAAK,CAAC,CAAC,EAAE,CAAC,CAAC;KACxB;AAED;;;;;AAKG;IACH,SAAS,QAAQ,CAA8B,GAAO,EAAA;QACpD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAElE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAC1C,QAAA,IAAI,MAAM,KAAK,CAAC,EAAE;AAChB,YAAA,IAAI,CAAC,CAAC;AAEN,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEV,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACZ,YAAA,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAET,YAAA,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;YACT,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AACb,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEV,YAAA,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACV,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AACd,YAAA,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACV,YAAA,OAAO,MAAM,CAAC;SACf;QAED,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEz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f;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AACzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC5C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAC3C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAC7C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;QAE5C,MAAM,CAAC,GAAG,CAAC,IAAI,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC,CAAC;AAE1D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,EAAE,CAAC;AACpB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;AAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AAC/C,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC,CAAC;AAChD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAChD,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACjD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AACnD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AAClD,aAAC,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC,CAAC;AAEnD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,WAAW,CAAC,CAAU,EAAA;QAC7B,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,IAAI,GAAI,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AACxB,QAAA,MAAM,KAAK,GAAG,GAAG,GAAG,GAAG,CAAC;AAExB,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG;AACrC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,CAAC,CAAC;AAClD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;AACnD,QAAA,MAAM,EAAE,GAAG,CAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG;AACtC,aAAC,IAAI,GAAG,GAAG,GAAG,IAAI,GAAG,GAAG,GAAG,KAAK,GAAG,GAAG,CAAC,CAAC;AAEnD,QAAA,OAAO,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,CAAC;KAClD;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;AACtB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAE,CAAC,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;QACtB,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC,CAAC;AAEtB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC3D,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAE3D,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAClF,MAAM,MAAM,IAAI,GAAG,IAAI,QAAQ,EAAE,CAAM,CAAC;AACxC,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;QACD,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAClB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,OAAO,MAAM,CAAC;KACf;;;;;;;;AASD,IAAA,SAAS,cAAc,CAA8B,CAAU,EAAE,GAAO,EAAA;QACtE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;QAC3C,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,IAAY,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAC,CAAC;AACtC,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,OAAO,CAA8B,CAAU,EAAE,CAAU,EAAE,IAAY,EAAE,GAAM,EAAA;QACxF,MAAM,MAAM,GAAG,CAAC,GAAG,KAAK,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC,EAAE,GAAG,CAAC,CAAC;AAEhD,QAAA,MAAM,GAAG,GAAG,IAAI,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;AACH,IAAA,SAAS,UAAU,CAA8B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,EAAE,CAAM,CAAC;AAE3C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAEjB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;QACnD,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAEnD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;;;;;;;;AAwBG;IACH,SAAS,WAAW,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAY,EAAE,GAAO,EAAA;QACnI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,IAAI,CAAC,EAAE,GAAG,GAAG,GAAG,GAAG,GAAG,qBAAqB,CAAC,CAAC;AAEhE,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,MAAM,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,MAAM,CAAC,QAAQ,CAAC,IAAI,CAAC,EAAE;YACzB,MAAM,QAAQ,GAAG,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;YAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;SACtC;aAAM;AACL,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAChB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,CAAC;SACrB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;;;;AAoBG,QAAA,SAAS,mBAAmB,CAA8B,qBAA6B,EAAE,MAAc,EAAE,KAAa,EAAE,IAAI,GAAG,QAAQ,EAAE,GAAO,EAAA;QACjJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,qBAAqB,GAAG,GAAG,CAAC,CAAC;AAEpD,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,MAAM,CAAC;AACxB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,IAAI,KAAK,QAAQ,EAAE;AACrB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC;SACpB;aAAM;YACL,MAAM,QAAQ,GAAG,CAAC,IAAI,IAAI,GAAG,KAAK,CAAC,CAAC;AACpC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,GAAG,QAAQ,CAAC;YAC9B,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,KAAK,GAAG,QAAQ,CAAC;SACtC;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;AAcG;AACH,IAAA,SAAS,KAAK,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;QACtI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;QACf,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC;QACf,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,KAAK,GAAG,IAAI,KAAK,IAAI,GAAG,KAAK,CAAC,CAAC;AAC7C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,KAAK,MAAM,GAAG,GAAG,CAAC,CAAC;QAC7C,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;AAiBG;AACH,IAAA,SAAS,OAAO,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAW,EAAE,GAAO,EAAA;QACxI,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;AAC1B,QAAA,MAAM,EAAE,IAAI,IAAI,GAAG,GAAG,CAAC,CAAC;QAExB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;QACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;AACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,CAAC;AACtB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,GAAG,GAAG,EAAE,CAAC;AAC7B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;;;;;AAiBG;AACH,IAAA,SAAS,eAAe,CAA8B,IAAY,EAAE,KAAa,EAAE,MAAc,EAAE,GAAW,EAAE,IAAY,EAAE,GAAG,GAAG,QAAQ,EAAE,GAAO,EAAA;QACnJ,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,IAAI,KAAK,GAAG,IAAI,CAAC,CAAC;AAC1B,QAAA,MAAM,EAAE,IAAI,GAAG,GAAG,MAAM,CAAC,CAAC;QAE1B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,GAAG,EAAE,CAAC;AAC3B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACf,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,IAAI,GAAG,KAAK,IAAI,EAAE,CAAC;QACjC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,MAAM,IAAI,EAAE,CAAC;AACjC,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,IAAI,GAAG,KAAK,QAAQ,EAAE;AACpB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,CAAC;SACnB;aAAM;YACL,MAAM,QAAQ,GAAG,CAAC,IAAI,GAAG,GAAG,IAAI,CAAC,CAAC;AAClC,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,IAAI,GAAG,QAAQ,CAAC;YAC7B,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,IAAI,GAAG,QAAQ,CAAC;SACpC;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAC5B,IAAA,MAAM,KAAK,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAE5B;;;;;;;;;;;;;AAaG;IACH,SAAS,GAAG,CAA8B,QAAiB,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;QAChG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,MAAM,EAAE,QAAQ,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AAC9D,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;QAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEhG,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;;;AAaG;IACH,SAAS,SAAS,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;QACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;QAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAK,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QAChG,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEjF,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;;;AAWG;IACH,SAAS,MAAM,CAA8B,GAAY,EAAE,MAAe,EAAE,EAAW,EAAE,GAAO,EAAA;QAC9F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,QAAQ,CAAC,GAAG,EAAE,MAAM,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACzD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,EAAE,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;AACpD,QAAA,IAAI,CAAC,SAAS,CAAC,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,KAAK,CAAC,EAAE,KAAK,CAAC,CAAC;QAEvD,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QACvF,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAE,CAAC,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,KAAK,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEv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f,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,WAAW,CAA8B,CAAU,EAAE,GAAO,EAAA;QACnE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;QAC3E,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAAE,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAE3E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAEzB,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;AAChB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;AACjB,YAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,CAAC;SAClB;AAED,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAClD,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,GAAG,EAAE,GAAG,GAAG,CAAC;AAElD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;QAClB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,cAAsB,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AAEnC,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACnE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAI,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEnE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QACzB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QAEnC,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;QAC/B,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,CAAC;AAE/B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;AACH,IAAA,SAAS,YAAY,CAA8B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;QAC/F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAC3C,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;AACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;QACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAE7B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAC/B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;AAC5C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAC/B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAEf,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,MAAM,QAAQ,GAAG,YAAY,CAAC;AAE9B;;;;;;;;;AASG;IACH,SAAS,UAAU,CAA8B,CAAU,EAAE,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;QACzG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,IAAI,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;QAC3C,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;QACP,CAAC,IAAI,CAAC,CAAC;AACP,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;AACjB,QAAA,MAAM,EAAE,GAAG,CAAC,GAAG,CAAC,CAAC;QACjB,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;QACnC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,cAAc,CAAC,CAAC;AACnC,QAAA,MAAM,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAE7B,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;QAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;QAC9B,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,CAAC,GAAG,CAAC,GAAG,cAAc,GAAG,CAAC,GAAG,CAAC,CAAC;QAC3C,MAAM,GAAG,GAAG,EAAE,GAAG,CAAC,CAAC,GAAG,EAAE,IAAI,CAAC,CAAC;AAE9B,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACjB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAClB,QAAA,MAAM,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAElB,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAC/C,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,GAAG,CAAC;AAE/C,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;;;;AAQG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;QAE1C,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAAK,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;QAAK,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAC3E,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAK,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAE3E,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACzE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEh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hB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,cAAc,CAA8B,CAAS,EAAE,GAAO,EAAA;QACrE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAClE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAAE,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAElE,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,YAAY,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,EAAE,CAAC,CAAM,CAAC;AAE1C,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAC9B,QAAA,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;AAE9B,QAAA,IAAI,CAAC,KAAK,MAAM,EAAE;YAChB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;YACnB,MAAM,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;SACpB;AAED,QAAA,OAAO,MAAM,CAAC;KACf;IAED,OAAO;QACL,MAAM;QACN,GAAG;QACH,QAAQ;QACR,QAAQ;QACR,MAAM;QACN,IAAI;QACJ,KAAK;QACL,mBAAmB;QACnB,MAAM;QACN,QAAQ;QACR,SAAS;QACT,OAAO;QACP,WAAW;QACX,MAAM;QACN,QAAQ;QACR,GAAG;QACH,cAAc;QACd,cAAc;QACd,OAAO;QACP,OAAO;QACP,UAAU;QACV,WAAW;QACX,mBAAmB;QACnB,KAAK;QACL,OAAO;QACP,eAAe;QACf,GAAG;QACH,SAAS;QACT,MAAM;QACN,WAAW;QACX,SAAS;QACT,SAAS;QACT,OAAO;QACP,SAAS;QACT,OAAO;QACP,SAAS;QACT,OAAO;QACP,YAAY;QACZ,QAAQ;QACR,UAAU;QACV,MAAM;QACN,OAAO;QACP,KAAK;QACL,cAAc;QACd,YAAY;KACb,CAAC;AAEF,CAAC;AAKD,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAElB,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;AC1mDA;;;;;;;;;;;;;;;;;;;;AAoBG;AAeH;;AAEK;AACL,SAASF,YAAU,CAA0C,IAAwB,EAAA;AACnF,IAAA,MAAM,IAAI,GAAGK,QAAU,CAAW,IAAI,CAAC,CAAC;AAE1C;;;;;;;AAOG;IACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;AAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;qBACf;iBACF;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;;;AAUG;IACH,SAAS,GAAG,CAA+B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQI;AACJ,IAAA,SAAS,aAAa,CAA+B,IAAa,EAAE,cAAsB,EAAE,GAAO,EAAA;QACjG,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;QACvC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE9B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;QACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;QACxB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,IAAI,CAAC,CAAC,CAAC,CAAC;QACxB,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,WAAW,CAA+B,CAAU,EAAE,GAAO,EAAA;AACpE,QAAA,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,CAAC,MAAM,CAAC,CAAC,CAAC,CAAM,CAAC;AAE5C,QAAA,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QAClC,MAAM,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,GAAG,GAAG,CAAC,CAAC;AAChC,QAAA,IAAI,CAAC,GAAGJ,OAAa,EAAE;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;YACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,EAAE,KAAK,EAAE,IAAI,EAAE,MAAM,EAAE,CAAC;KAChC;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAAC,CAAU,EAAE,CAAU,EAAA;QACnC,MAAM,CAAC,GAAG,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC;AACpB,QAAA,OAAO,IAAI,CAAC,IAAI,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC;KACjC;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAElD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;AAMG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;AAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAE9B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;AAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAE9B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,cAAsB,EAAE,GAAO,EAAA;QACxF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,SAAS,GAAG,cAAc,GAAG,GAAG,CAAC;AAEvC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAEhB,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAC/B,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,SAAS,CAAC,CAAC;QAE/B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;QAC9B,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAE9B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;IACH,SAAS,KAAK,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACd,QAAA,IAAI,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEd,QAAA,IAAI,QAAQ,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAErD,QAAA,IAAI,QAAQ,GAAG,CAAC,EAAE;YAChB,QAAQ,GAAG,CAAC,QAAQ,CAAC;YACrB,EAAE,GAAG,CAAC,EAAE,CAAC;YACT,EAAE,GAAG,CAAC,EAAE,CAAC;YACT,EAAE,GAAG,CAAC,EAAE,CAAC;YACT,EAAE,GAAG,CAAC,EAAE,CAAC;SACV;AAED,QAAA,IAAI,MAAM,CAAC;AACX,QAAA,IAAI,MAAM,CAAC;QAEX,IAAI,GAAG,GAAG,QAAQ,GAAGA,OAAa,EAAE;YAClC,MAAM,KAAK,GAAG,IAAI,CAAC,IAAI,CAAC,QAAQ,CAAC,CAAC;YAClC,MAAM,QAAQ,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,CAAC,CAAC;AACjC,YAAA,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,KAAK,CAAC,GAAG,QAAQ,CAAC;YAC9C,MAAM,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,GAAG,KAAK,CAAC,GAAG,QAAQ,CAAC;SACzC;aAAM;AACL,YAAA,MAAM,GAAG,GAAG,GAAG,CAAC,CAAC;YACjB,MAAM,GAAG,CAAC,CAAC;SACZ;QAED,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;QACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;QACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;QACtC,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,GAAG,EAAE,GAAG,MAAM,GAAG,EAAE,CAAC;AAEtC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAU,EAAE,GAAO,EAAA;QAChE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEhB,QAAA,MAAM,GAAG,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AAClD,QAAA,MAAM,MAAM,GAAG,GAAG,GAAG,CAAC,GAAG,GAAG,GAAG,CAAC,CAAC;QAEjC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;QACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;QACzB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,EAAE,GAAG,MAAM,CAAC;AACzB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAI,EAAE,GAAG,MAAM,CAAC;AAEzB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAI,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,OAAO,CAA+B,CAAoB,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC;;;;;;;;AAQG;;;AAIH,QAAA,MAAM,KAAK,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,CAAC;AAElC,QAAA,IAAI,KAAK,GAAG,GAAG,EAAE;;AAEf,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,KAAK,GAAG,CAAC,CAAC,CAAC;AAClC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;AACvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;AAE3B,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;AACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;AACpC,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,OAAO,CAAC;SACrC;aAAM;;YAEL,IAAI,CAAC,GAAG,CAAC,CAAC;YAEV,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,EAAE;gBACf,CAAC,GAAG,CAAC,CAAC;aACP;AACD,YAAA,IAAI,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE;gBACxB,CAAC,GAAG,CAAC,CAAC;aACP;YAED,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;YACtB,MAAM,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;AAEtB,YAAA,MAAM,IAAI,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,GAAG,CAAC,CAAC;AACzE,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,GAAG,GAAG,IAAI,CAAC;AAEvB,YAAA,MAAM,OAAO,GAAG,GAAG,GAAG,IAAI,CAAC;YAE3B,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;YACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;YACpD,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,IAAI,OAAO,CAAC;SACrD;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,SAAS,CACd,eAAuB,EACvB,eAAuB,EACvB,eAAuB,EACvB,KAAoB,EACpB,GAAO,EAAA;QACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;AACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;AACzC,QAAA,MAAM,UAAU,GAAG,eAAe,GAAG,GAAG,CAAC;QAEzC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAChC,MAAM,EAAE,GAAG,IAAI,CAAC,GAAG,CAAC,UAAU,CAAC,CAAC;QAEhC,QAAQ,KAAK;AACX,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA,KAAK,KAAK;AACR,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;AACxC,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;gBACxC,MAAM;AAER,YAAA;AACE,gBAAA,MAAM,IAAI,KAAK,CAAC,2BAA2B,KAAK,CAAA,CAAE,CAAC,CAAC;SACvD;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA+B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACxE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA+B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC7E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;QACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;KACtE;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA+B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACpF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACzD;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC9C;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA+B,CAAU,EAAE,GAAO,EAAA;QAClE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACzE;AAED;;;;AAIG;IACH,SAAS,QAAQ,CAA+B,GAAO,EAAA;QACrD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED,IAAA,MAAM,QAAQ,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAC/B,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAChC,IAAA,MAAM,SAAS,GAAG,IAAI,CAAC,MAAM,EAAE,CAAC;AAEhC;;;;;;;AAOG;AACH,IAAA,SAAS,UAAU,CAA+B,KAAc,EAAE,KAAc,EAAE,GAAO,EAAA;QACvF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,GAAG,GAAG,IAAI,CAAC,GAAG,CAAC,KAAK,EAAE,KAAK,CAAC,CAAC;AACnC,QAAA,IAAI,GAAG,GAAG,CAAC,QAAQ,EAAE;YACnB,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;YACvC,IAAI,IAAI,CAAC,GAAG,CAAC,QAAQ,CAAC,GAAG,QAAQ,EAAE;gBACjC,IAAI,CAAC,KAAK,CAAC,SAAS,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;aACxC;AAED,YAAA,IAAI,CAAC,SAAS,CAAC,QAAQ,EAAE,QAAQ,CAAC,CAAC;YACnC,aAAa,CAAC,QAAQ,EAAE,IAAI,CAAC,EAAE,EAAE,MAAM,CAAC,CAAC;AAEzC,YAAA,OAAO,MAAM,CAAC;SACf;AAAM,aAAA,IAAI,GAAG,GAAG,QAAQ,EAAE;AACzB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,YAAA,OAAO,MAAM,CAAC;SACf;aAAM;YACL,IAAI,CAAC,KAAK,CAAC,KAAK,EAAE,KAAK,EAAE,QAAQ,CAAC,CAAC;YAEnC,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;YACxB,MAAM,CAAC,CAAC,CAAC,GAAG,QAAQ,CAAC,CAAC,CAAC,CAAC;AACxB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,GAAG,CAAC;AAEpB,YAAA,OAAO,SAAS,CAAC,MAAM,EAAE,MAAM,CAAC,CAAC;SAClC;KACF;AAED,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC9B,IAAA,MAAM,SAAS,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAE9B;;;;;;;;;AASG;AACH,IAAA,SAAS,MAAM,CACX,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAU,EACV,CAAS,EACT,GAAO,EAAA;QACT,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;QAC1B,KAAK,CAAC,CAAC,EAAE,CAAC,EAAE,CAAC,EAAE,SAAS,CAAC,CAAC;AAC1B,QAAA,KAAK,CAAC,SAAS,EAAE,SAAS,EAAE,CAAC,GAAG,CAAC,IAAI,CAAC,GAAG,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;AAErD,QAAA,OAAO,MAAM,CAAC;KACf;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,aAAa;QACb,WAAW;QACX,KAAK;QACL,QAAQ;QACR,GAAG;QACH,OAAO;QACP,OAAO;QACP,OAAO;QACP,KAAK;QACL,OAAO;QACP,SAAS;QACT,OAAO;QACP,SAAS;QACT,IAAI;QACJ,KAAK;QACL,GAAG;QACH,QAAQ;QACR,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,GAAG;QACH,IAAI;QACJ,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,SAAS;QACT,mBAAmB;QACnB,MAAM;QACN,QAAQ;QACR,UAAU;QACV,MAAM;KACP,CAAC;AAEF,CAAC;AAID,MAAMC,OAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAExB;;;;;;;;;;;;;;;;;;;;;AAqBG;AACG,SAAUC,QAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAGD,OAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAGF,YAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAAE,OAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;AC35BA;;;;;;;;;;;;;;;;;;;;AAoBG;AAUH;;AAEK;AACL,SAAS,UAAU,CAAyC,IAAuB,EAAA;AAEnF;;;;;;;AAOG;IACH,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,CAAU,EAAA;AAC5D,QAAA,MAAM,MAAM,GAAG,IAAI,IAAI,CAAC,CAAC,CAAC,CAAC;AAC3B,QAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,gBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,gBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,oBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,oBAAA,IAAI,CAAC,KAAK,SAAS,EAAE;AACnB,wBAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;qBACf;iBACF;aACF;SACF;AACD,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,UAAU,GAAG,MAAM,CAAC;AAE1B;;;;;;;;;;AAUG;IACH,SAAS,GAAG,CAA8B,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,CAAS,EAAE,GAAO,EAAA;QAC3F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC5B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE5B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC7D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAC7B,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAE7B,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;AACH,IAAA,SAAS,KAAK,CAA8B,CAAU,EAAE,GAAG,GAAG,CAAC,EAAE,GAAG,GAAG,CAAC,EAAE,GAAO,EAAA;QAC/E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEz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f;AAED;;;;;;AAMG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAU,EAAE,KAAa,EAAE,GAAO,EAAA;QAC5F,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAChC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,KAAK,CAAC;AAEhC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;AAKG;AACH,IAAA,SAAS,mBAAmB,CAAC,CAAU,EAAE,CAAU,EAAA;AACjD,QAAA,OAAO,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGD,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa;AACrC,YAAA,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,GAAGA,OAAa,CAAC;KAC9C;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAAC,CAAU,EAAE,CAAU,EAAA;AACpC,QAAA,OAAO,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,CAAC;KACzE;AAED;;;;;;;;;AASG;IACH,SAAS,IAAI,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QACnF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACrC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAErC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;;AASG;IACH,SAAS,KAAK,CAA8B,CAAU,EAAE,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACrF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QACxC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAExC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;;AAQG;AACH,IAAA,SAAS,GAAG,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACvE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AACjC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,IAAI,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,EAAE,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjC,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,SAAS,CAAC;AAExB;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,CAAS,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,OAAO,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC/D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACrB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAErB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,OAAO,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,GAAG,CAAC,CAAU,EAAE,CAAU,EAAA;QACjC,OAAO,CAAC,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,KAAK,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,IAAI,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;KACtE;AAED;;;;AAIG;IACH,SAAS,MAAM,CAAC,CAAU,EAAA;AACxB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACzD;AAED;;;;AAIG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,QAAQ,CAAC,CAAU,EAAA;AAC1B,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC9C;AAED;;;;AAIG;IACH,MAAM,KAAK,GAAG,QAAQ,CAAC;AAEvB;;;;;AAKG;AACH,IAAA,SAAS,QAAQ,CAAC,CAAU,EAAE,CAAU,EAAA;QACtC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,OAAO,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;KACzD;AAED;;;;;AAKG;IACH,MAAM,IAAI,GAAG,QAAQ,CAAC;AAEtB;;;;;AAKG;AACH,IAAA,SAAS,UAAU,CAAC,CAAU,EAAE,CAAU,EAAA;QACxC,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACvB,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACvB,QAAA,OAAO,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC;KAC9C;AAED;;;;;AAKG;IACH,MAAM,MAAM,GAAG,UAAU,CAAC;AAE1B;;;;;AAKG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAO,EAAA;QACjE,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAChB,QAAA,MAAM,EAAE,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QAChB,MAAM,GAAG,GAAG,IAAI,CAAC,IAAI,CAAC,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,GAAG,EAAE,CAAC,CAAC;AAE7D,QAAA,IAAI,GAAG,GAAG,OAAO,EAAE;AACjB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;AACrB,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,EAAE,GAAG,GAAG,CAAC;SACtB;aAAM;AACL,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,YAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;SACf;AAED,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;AAKG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC9D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;QAClB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC,CAAC;AAElB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;AACH,IAAA,SAAS,IAAI,CAA8B,CAAU,EAAE,GAAO,EAAA;QAC5D,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QAEzC,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;QACjB,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEjB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;AAMG;IACH,MAAM,KAAK,GAAG,IAAI,CAAC;AAEnB;;;;;;;AAOG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,QAAQ,CAAC;AAErB;;;;;;;AAOG;AACH,IAAA,SAAS,MAAM,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC1E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACxB,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAExB,QAAA,OAAO,MAAM,CAAC;KACf;AAED;;;;;;;AAOG;IACH,MAAM,GAAG,GAAG,MAAM,CAAC;AAEnB;;;;AAIG;IACH,SAAS,IAAI,CAA8B,GAAO,EAAA;QAChD,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AACd,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC;AAEd,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,aAAa,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QACjF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AACf,QAAA,MAAM,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,CAAC;AAEf,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAE,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AACxD,QAAA,MAAM,CAAC,CAAC,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,CAAC,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,GAAG,CAAC,CAAC,EAAE,CAAC,GAAG,CAAC,CAAC;AAExD,QAAA,OAAO,MAAM,CAAC;KACf;AAGD;;;;;;AAMG;AACH,IAAA,SAAS,SAAS,CAA8B,CAAU,EAAE,GAAW,EAAE,GAAO,EAAA;QAC9E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AACzC,QAAA,SAAS,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;QACrB,OAAO,SAAS,CAAC,MAAM,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KACvC;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,MAAc,EAAE,GAAO,EAAA;QAChF,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;AAEzC,QAAA,IAAI,MAAM,CAAC,CAAC,CAAC,GAAG,MAAM,EAAE;YACtB,OAAO,SAAS,CAAC,CAAC,EAAE,MAAM,EAAE,MAAM,CAAC,CAAC;SACrC;AAED,QAAA,OAAO,IAAI,CAAC,CAAC,EAAE,MAAM,CAAC,CAAC;KACxB;AAED;;;;;;AAMG;AACH,IAAA,SAAS,QAAQ,CAA8B,CAAU,EAAE,CAAU,EAAE,GAAO,EAAA;QAC5E,MAAM,MAAM,IAAI,GAAG,IAAI,IAAI,IAAI,CAAC,CAAC,CAAC,CAAM,CAAC;QACzC,OAAO,IAAI,CAAC,CAAC,EAAE,CAAC,EAAE,GAAG,EAAE,MAAM,CAAC,CAAC;KAChC;IAED,OAAO;QACL,MAAM;QACN,UAAU;QACV,GAAG;QACH,IAAI;QACJ,KAAK;QACL,KAAK;QACL,KAAK;QACL,GAAG;QACH,SAAS;QACT,QAAQ;QACR,GAAG;QACH,mBAAmB;QACnB,MAAM;QACN,IAAI;QACJ,KAAK;QACL,GAAG;QACH,GAAG;QACH,SAAS;QACT,KAAK;QACL,SAAS;QACT,OAAO;QACP,MAAM;QACN,GAAG;QACH,MAAM;QACN,GAAG;QACH,QAAQ;QACR,KAAK;QACL,QAAQ;QACR,IAAI;QACJ,UAAU;QACV,MAAM;QACN,SAAS;QACT,MAAM;QACN,IAAI;QACJ,KAAK;QACL,QAAQ;QACR,GAAG;QACH,MAAM;QACN,GAAG;QACH,IAAI;QACJ,aAAa;QACb,SAAS;QACT,QAAQ;QACR,QAAQ;KACT,CAAC;AACF,CAAC;AAID,MAAM,KAAK,GAAG,IAAI,GAAG,EAAE,CAAC;AAExB;;;;;;;;;;;;;;;;;;;;;AAqBG;AACG,SAAU,MAAM,CAAmC,IAAiB,EAAA;IACxE,IAAI,GAAG,GAAG,KAAK,CAAC,GAAG,CAAC,IAAI,CAAC,CAAC;IAC1B,IAAI,CAAC,GAAG,EAAE;AACR,QAAA,GAAG,GAAG,UAAU,CAAI,IAAI,CAAC,CAAC;AAC1B,QAAA,KAAK,CAAC,GAAG,CAAC,IAAI,EAAE,GAAG,CAAC,CAAC;KACtB;AACD,IAAA,OAAO,GAAa,CAAC;AACvB;;ACvxBA;;;AAGG;AAsDH;;AAEG;AACH,SAAS,aAAa,CAQlB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EACxB,QAAwB,EAAA;IAE1B,OAAO;;AAEL,QAAA,IAAI,EAAEK,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEJ,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEC,QAAU,CAAO,QAAQ,CAAC;;AAEhC,QAAA,IAAI,EAAEI,MAAU,CAAO,QAAQ,CAAC;KACjC,CAAC;AACJ,CAAC;AAEY,MAAA;AACX;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI;AACJ;;;AAGG;AACH,IAAI,GACL,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,MAAA;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE,YAAY,EAAE;AAE3E,MAAA;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK;AACX;;;AAGG;AACH,IAAI,EAAE,KAAK,GACZ,GAAG,aAAa,CAEb,SAAS,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK,EAAE,KAAK;;;;"} \ No newline at end of file diff --git a/dist/3.x/wgpu-matrix.module.min.js b/dist/3.x/wgpu-matrix.module.min.js index bd31313..7a02009 100644 --- a/dist/3.x/wgpu-matrix.module.min.js +++ b/dist/3.x/wgpu-matrix.module.min.js @@ -1,2 +1,2 @@ -const n=(t=Array,r=n=>n.fill(0),class extends t{constructor(...n){super(...n),r(this)}});var t,r;let e=1e-6;var o={__proto__:null,get EPSILON(){return e},degToRad:function(n){return n*Math.PI/180},euclideanModulo:function(n,t){return(n%t+t)%t},inverseLerp:function(n,t,r){const o=t-n;return Math.abs(t-n)1e-5?(e[0]=o/u,e[1]=c/u):(e[0]=0,e[1]=0),e}function l(t,r){const e=r??new n(2);return e[0]=t[0],e[1]=t[1],e}function w(t,r,e){const o=e??new n(2);return o[0]=t[0]*r[0],o[1]=t[1]*r[1],o}function m(t,r,e){const o=e??new n(2);return o[0]=t[0]/r[0],o[1]=t[1]/r[1],o}function d(t,r,e){const o=e??new n(2);return h(t,o),c(o,r,o)}return{create:t,fromValues:t,set:function(t,r,e){const o=e??new n(2);return o[0]=t,o[1]=r,o},ceil:function(t,r){const e=r??new n(2);return e[0]=Math.ceil(t[0]),e[1]=Math.ceil(t[1]),e},floor:function(t,r){const e=r??new n(2);return e[0]=Math.floor(t[0]),e[1]=Math.floor(t[1]),e},round:function(t,r){const e=r??new n(2);return e[0]=Math.round(t[0]),e[1]=Math.round(t[1]),e},clamp:function(t,r=0,e=1,o){const c=o??new n(2);return c[0]=Math.min(e,Math.max(r,t[0])),c[1]=Math.min(e,Math.max(r,t[1])),c},add:function(t,r,e){const o=e??new n(2);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o},addScaled:function(t,r,e,o){const c=o??new n(2);return c[0]=t[0]+r[0]*e,c[1]=t[1]+r[1]*e,c},angle:function(n,t){const r=n[0],e=n[1],o=t[0],c=t[1],u=Math.sqrt(r*r+e*e)*Math.sqrt(o*o+c*c),s=u&&a(n,t)/u;return Math.acos(s)},subtract:r,sub:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])r?d(t,r,o):l(t,o)},midpoint:function(t,r,e){return o(t,r,.5,e??new n(2))}}}(n),c.set(n,t)),t}const a=new Map;function s(n){let t=a.get(n);return t||(t=function(n){const t=u(n);function r(t,r){const e=r??new n(12);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[4]=t[4],e[5]=t[5],e[6]=t[6],e[8]=t[8],e[9]=t[9],e[10]=t[10],e}function o(t){const r=t??new n(12);return r[0]=1,r[1]=0,r[2]=0,r[4]=0,r[5]=1,r[6]=0,r[8]=0,r[9]=0,r[10]=1,r}function c(t,r){const e=r??new n(12),o=t[0],c=t[1],u=t[2],a=t[4],s=t[5],i=t[6],f=t[8],M=t[9],h=t[10],l=h*s-i*M,w=-h*a+i*f,m=M*a-s*f,d=1/(o*l+c*w+u*m);return e[0]=l*d,e[1]=(-h*c+u*M)*d,e[2]=(i*c-u*s)*d,e[4]=w*d,e[5]=(h*o-u*f)*d,e[6]=(-i*o+u*a)*d,e[8]=m*d,e[9]=(-M*o+c*f)*d,e[10]=(s*o-c*a)*d,e}function a(t,r,e){const o=e??new n(12),c=t[0],u=t[1],a=t[2],s=t[4],i=t[5],f=t[6],M=t[8],h=t[9],l=t[10],w=r[0],m=r[1],d=r[2],v=r[4],p=r[5],q=r[6],b=r[8],g=r[9],x=r[10];return o[0]=c*w+s*m+M*d,o[1]=u*w+i*m+h*d,o[2]=a*w+f*m+l*d,o[4]=c*v+s*p+M*q,o[5]=u*v+i*p+h*q,o[6]=a*v+f*p+l*q,o[8]=c*b+s*g+M*x,o[9]=u*b+i*g+h*x,o[10]=a*b+f*g+l*x,o}return{clone:r,create:function(t,r,e,o,c,u,a,s,i){const f=new n(12);return f[3]=0,f[7]=0,f[11]=0,void 0!==t&&(f[0]=t,void 0!==r&&(f[1]=r,void 0!==e&&(f[2]=e,void 0!==o&&(f[4]=o,void 0!==c&&(f[5]=c,void 0!==u&&(f[6]=u,void 0!==a&&(f[8]=a,void 0!==s&&(f[9]=s,void 0!==i&&(f[10]=i))))))))),f},set:function(t,r,e,o,c,u,a,s,i,f){const M=f??new n(12);return M[0]=t,M[1]=r,M[2]=e,M[3]=0,M[4]=o,M[5]=c,M[6]=u,M[7]=0,M[8]=a,M[9]=s,M[10]=i,M[11]=0,M},fromMat4:function(t,r){const e=r??new n(12);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=0,e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=0,e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=0,e},fromQuat:function(t,r){const e=r??new n(12),o=t[0],c=t[1],u=t[2],a=t[3],s=o+o,i=c+c,f=u+u,M=o*s,h=c*s,l=c*i,w=u*s,m=u*i,d=u*f,v=a*s,p=a*i,q=a*f;return e[0]=1-l-d,e[1]=h+q,e[2]=w-p,e[3]=0,e[4]=h-q,e[5]=1-M-d,e[6]=m+v,e[7]=0,e[8]=w+p,e[9]=m-v,e[10]=1-M-l,e[11]=0,e},negate:function(t,r){const e=r??new n(12);return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[4]=-t[4],e[5]=-t[5],e[6]=-t[6],e[8]=-t[8],e[9]=-t[9],e[10]=-t[10],e},copy:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])1e-5?(e[0]=o/a,e[1]=c/a,e[2]=u/a):(e[0]=0,e[1]=0,e[2]=0),e}function l(t,r){const e=r??new n(3);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e}function w(t,r,e){const o=e??new n(3);return o[0]=t[0]*r[0],o[1]=t[1]*r[1],o[2]=t[2]*r[2],o}function m(t,r,e){const o=e??new n(3);return o[0]=t[0]/r[0],o[1]=t[1]/r[1],o[2]=t[2]/r[2],o}function d(t,r,e){const o=e??new n(3);return h(t,o),c(o,r,o)}return{create:t,fromValues:t,set:function(t,r,e,o){const c=o??new n(3);return c[0]=t,c[1]=r,c[2]=e,c},ceil:function(t,r){const e=r??new n(3);return e[0]=Math.ceil(t[0]),e[1]=Math.ceil(t[1]),e[2]=Math.ceil(t[2]),e},floor:function(t,r){const e=r??new n(3);return e[0]=Math.floor(t[0]),e[1]=Math.floor(t[1]),e[2]=Math.floor(t[2]),e},round:function(t,r){const e=r??new n(3);return e[0]=Math.round(t[0]),e[1]=Math.round(t[1]),e[2]=Math.round(t[2]),e},clamp:function(t,r=0,e=1,o){const c=o??new n(3);return c[0]=Math.min(e,Math.max(r,t[0])),c[1]=Math.min(e,Math.max(r,t[1])),c[2]=Math.min(e,Math.max(r,t[2])),c},add:function(t,r,e){const o=e??new n(3);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o[2]=t[2]+r[2],o},addScaled:function(t,r,e,o){const c=o??new n(3);return c[0]=t[0]+r[0]*e,c[1]=t[1]+r[1]*e,c[2]=t[2]+r[2]*e,c},angle:function(n,t){const r=n[0],e=n[1],o=n[2],c=t[0],u=t[1],s=t[2],i=Math.sqrt(r*r+e*e+o*o)*Math.sqrt(c*c+u*u+s*s),f=i&&a(n,t)/i;return Math.acos(f)},subtract:r,sub:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])r?d(t,r,o):l(t,o)},midpoint:function(t,r,e){return o(t,r,.5,e??new n(3))}}}(n),i.set(n,t)),t}const M=new Map;function h(n){let t=M.get(n);return t||(t=function(n){const t=f(n);function r(t,r){const e=r??new n(16);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=t[7],e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=t[11],e[12]=t[12],e[13]=t[13],e[14]=t[14],e[15]=t[15],e}const o=r;function c(t){const r=t??new n(16);return r[0]=1,r[1]=0,r[2]=0,r[3]=0,r[4]=0,r[5]=1,r[6]=0,r[7]=0,r[8]=0,r[9]=0,r[10]=1,r[11]=0,r[12]=0,r[13]=0,r[14]=0,r[15]=1,r}function u(t,r){const e=r??new n(16),o=t[0],c=t[1],u=t[2],a=t[3],s=t[4],i=t[5],f=t[6],M=t[7],h=t[8],l=t[9],w=t[10],m=t[11],d=t[12],v=t[13],p=t[14],q=t[15],b=w*q,g=p*m,x=f*q,y=p*M,A=f*m,S=w*M,z=u*q,F=p*a,k=u*m,T=w*a,I=u*M,P=f*a,V=h*v,Z=d*l,L=s*v,R=d*i,E=s*l,X=h*i,Y=o*v,_=d*c,Q=o*l,N=h*c,U=o*i,j=s*c,D=b*i+y*l+A*v-(g*i+x*l+S*v),O=g*c+z*l+T*v-(b*c+F*l+k*v),$=x*c+F*i+I*v-(y*c+z*i+P*v),B=S*c+k*i+P*l-(A*c+T*i+I*l),C=1/(o*D+s*O+h*$+d*B);return e[0]=C*D,e[1]=C*O,e[2]=C*$,e[3]=C*B,e[4]=C*(g*s+x*h+S*d-(b*s+y*h+A*d)),e[5]=C*(b*o+F*h+k*d-(g*o+z*h+T*d)),e[6]=C*(y*o+z*s+P*d-(x*o+F*s+I*d)),e[7]=C*(A*o+T*s+I*h-(S*o+k*s+P*h)),e[8]=C*(V*M+R*m+E*q-(Z*M+L*m+X*q)),e[9]=C*(Z*a+Y*m+N*q-(V*a+_*m+Q*q)),e[10]=C*(L*a+_*M+U*q-(R*a+Y*M+j*q)),e[11]=C*(X*a+Q*M+j*m-(E*a+N*M+U*m)),e[12]=C*(L*w+X*p+Z*f-(E*p+V*f+R*w)),e[13]=C*(Q*p+V*u+_*w-(Y*w+N*p+Z*u)),e[14]=C*(Y*f+j*p+R*u-(U*p+L*u+_*f)),e[15]=C*(U*w+E*u+N*f-(Q*f+j*w+X*u)),e}const a=u;function s(t,r,e){const o=e??new n(16),c=t[0],u=t[1],a=t[2],s=t[3],i=t[4],f=t[5],M=t[6],h=t[7],l=t[8],w=t[9],m=t[10],d=t[11],v=t[12],p=t[13],q=t[14],b=t[15],g=r[0],x=r[1],y=r[2],A=r[3],S=r[4],z=r[5],F=r[6],k=r[7],T=r[8],I=r[9],P=r[10],V=r[11],Z=r[12],L=r[13],R=r[14],E=r[15];return o[0]=c*g+i*x+l*y+v*A,o[1]=u*g+f*x+w*y+p*A,o[2]=a*g+M*x+m*y+q*A,o[3]=s*g+h*x+d*y+b*A,o[4]=c*S+i*z+l*F+v*k,o[5]=u*S+f*z+w*F+p*k,o[6]=a*S+M*z+m*F+q*k,o[7]=s*S+h*z+d*F+b*k,o[8]=c*T+i*I+l*P+v*V,o[9]=u*T+f*I+w*P+p*V,o[10]=a*T+M*I+m*P+q*V,o[11]=s*T+h*I+d*P+b*V,o[12]=c*Z+i*L+l*R+v*E,o[13]=u*Z+f*L+w*R+p*E,o[14]=a*Z+M*L+m*R+q*E,o[15]=s*Z+h*L+d*R+b*E,o}const i=s,M=t.create(),h=t.create(),l=t.create();function w(t,r,e){const o=e??new n(16);let c=t[0],u=t[1],a=t[2];const s=Math.sqrt(c*c+u*u+a*a);c/=s,u/=s,a/=s;const i=c*c,f=u*u,M=a*a,h=Math.cos(r),l=Math.sin(r),w=1-h;return o[0]=i+(1-i)*h,o[1]=c*u*w+a*l,o[2]=c*a*w-u*l,o[3]=0,o[4]=c*u*w-a*l,o[5]=f+(1-f)*h,o[6]=u*a*w+c*l,o[7]=0,o[8]=c*a*w+u*l,o[9]=u*a*w-c*l,o[10]=M+(1-M)*h,o[11]=0,o[12]=0,o[13]=0,o[14]=0,o[15]=1,o}function m(t,r,e,o){const c=o??new n(16);let u=r[0],a=r[1],s=r[2];const i=Math.sqrt(u*u+a*a+s*s);u/=i,a/=i,s/=i;const f=u*u,M=a*a,h=s*s,l=Math.cos(e),w=Math.sin(e),m=1-l,d=f+(1-f)*l,v=u*a*m+s*w,p=u*s*m-a*w,q=u*a*m-s*w,b=M+(1-M)*l,g=a*s*m+u*w,x=u*s*m+a*w,y=a*s*m-u*w,A=h+(1-h)*l,S=t[0],z=t[1],F=t[2],k=t[3],T=t[4],I=t[5],P=t[6],V=t[7],Z=t[8],L=t[9],R=t[10],E=t[11];return c[0]=d*S+v*T+p*Z,c[1]=d*z+v*I+p*L,c[2]=d*F+v*P+p*R,c[3]=d*k+v*V+p*E,c[4]=q*S+b*T+g*Z,c[5]=q*z+b*I+g*L,c[6]=q*F+b*P+g*R,c[7]=q*k+b*V+g*E,c[8]=x*S+y*T+A*Z,c[9]=x*z+y*I+A*L,c[10]=x*F+y*P+A*R,c[11]=x*k+y*V+A*E,t!==c&&(c[12]=t[12],c[13]=t[13],c[14]=t[14],c[15]=t[15]),c}return{create:function(t,r,e,o,c,u,a,s,i,f,M,h,l,w,m,d){const v=new n(16);return void 0!==t&&(v[0]=t,void 0!==r&&(v[1]=r,void 0!==e&&(v[2]=e,void 0!==o&&(v[3]=o,void 0!==c&&(v[4]=c,void 0!==u&&(v[5]=u,void 0!==a&&(v[6]=a,void 0!==s&&(v[7]=s,void 0!==i&&(v[8]=i,void 0!==f&&(v[9]=f,void 0!==M&&(v[10]=M,void 0!==h&&(v[11]=h,void 0!==l&&(v[12]=l,void 0!==w&&(v[13]=w,void 0!==m&&(v[14]=m,void 0!==d&&(v[15]=d)))))))))))))))),v},set:function(t,r,e,o,c,u,a,s,i,f,M,h,l,w,m,d,v){const p=v??new n(16);return p[0]=t,p[1]=r,p[2]=e,p[3]=o,p[4]=c,p[5]=u,p[6]=a,p[7]=s,p[8]=i,p[9]=f,p[10]=M,p[11]=h,p[12]=l,p[13]=w,p[14]=m,p[15]=d,p},fromMat3:function(t,r){const e=r??new n(16);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=0,e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=0,e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=0,e[12]=0,e[13]=0,e[14]=0,e[15]=1,e},fromQuat:function(t,r){const e=r??new n(16),o=t[0],c=t[1],u=t[2],a=t[3],s=o+o,i=c+c,f=u+u,M=o*s,h=c*s,l=c*i,w=u*s,m=u*i,d=u*f,v=a*s,p=a*i,q=a*f;return e[0]=1-l-d,e[1]=h+q,e[2]=w-p,e[3]=0,e[4]=h-q,e[5]=1-M-d,e[6]=m+v,e[7]=0,e[8]=w+p,e[9]=m-v,e[10]=1-M-l,e[11]=0,e[12]=0,e[13]=0,e[14]=0,e[15]=1,e},negate:function(t,r){const e=r??new n(16);return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[3]=-t[3],e[4]=-t[4],e[5]=-t[5],e[6]=-t[6],e[7]=-t[7],e[8]=-t[8],e[9]=-t[9],e[10]=-t[10],e[11]=-t[11],e[12]=-t[12],e[13]=-t[13],e[14]=-t[14],e[15]=-t[15],e},copy:r,clone:o,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e){const n=Math.acos(v),t=Math.sin(n);M=Math.sin((1-o)*n)/t,h=Math.sin(o*n)/t}else M=1-o,h=o;return u[0]=M*a+h*l,u[1]=M*s+h*w,u[2]=M*i+h*m,u[3]=M*f+h*d,u}function i(t,r){const e=r??new n(4);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e}const M=i;function h(t,r,e){const o=e??new n(4);return o[0]=t[0]-r[0],o[1]=t[1]-r[1],o[2]=t[2]-r[2],o[3]=t[3]-r[3],o}const l=h;function w(t,r,e){const o=e??new n(4);return o[0]=t[0]*r,o[1]=t[1]*r,o[2]=t[2]*r,o[3]=t[3]*r,o}const m=w;function d(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]+n[3]*t[3]}function v(n){const t=n[0],r=n[1],e=n[2],o=n[3];return Math.sqrt(t*t+r*r+e*e+o*o)}const p=v;function q(n){const t=n[0],r=n[1],e=n[2],o=n[3];return t*t+r*r+e*e+o*o}const b=q;function g(t,r){const e=r??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(e[0]=o/s,e[1]=c/s,e[2]=u/s,e[3]=a/s):(e[0]=0,e[1]=0,e[2]=0,e[3]=1),e}const x=t.create(),y=t.create(),A=t.create(),S=new n(4),z=new n(4);return{create:r,fromValues:o,set:function(t,r,e,o,c){const u=c??new n(4);return u[0]=t,u[1]=r,u[2]=e,u[3]=o,u},fromAxisAngle:c,toAxisAngle:function(n,r){const o=r??t.create(3),c=2*Math.acos(n[3]),u=Math.sin(.5*c);return u>e?(o[0]=n[0]/u,o[1]=n[1]/u,o[2]=n[2]/u):(o[0]=1,o[1]=0,o[2]=0),{angle:c,axis:o}},angle:function(n,t){const r=d(n,t);return Math.acos(2*r*r-1)},multiply:u,mul:a,rotateX:function(t,r,e){const o=e??new n(4),c=.5*r,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),M=Math.cos(c);return o[0]=u*M+i*f,o[1]=a*M+s*f,o[2]=s*M-a*f,o[3]=i*M-u*f,o},rotateY:function(t,r,e){const o=e??new n(4),c=.5*r,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),M=Math.cos(c);return o[0]=u*M-s*f,o[1]=a*M+i*f,o[2]=s*M+u*f,o[3]=i*M-a*f,o},rotateZ:function(t,r,e){const o=e??new n(4),c=.5*r,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),M=Math.cos(c);return o[0]=u*M+a*f,o[1]=a*M-u*f,o[2]=s*M+i*f,o[3]=i*M-s*f,o},slerp:s,inverse:function(t,r){const e=r??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=o*o+c*c+u*u+a*a,i=s?1/s:0;return e[0]=-o*i,e[1]=-c*i,e[2]=-u*i,e[3]=a*i,e},conjugate:function(t,r){const e=r??new n(4);return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[3]=t[3],e},fromMat:function(t,r){const e=r??new n(4),o=t[0]+t[5]+t[10];if(o>0){const n=Math.sqrt(o+1);e[3]=.5*n;const r=.5/n;e[0]=(t[6]-t[9])*r,e[1]=(t[8]-t[2])*r,e[2]=(t[1]-t[4])*r}else{let n=0;t[5]>t[0]&&(n=1),t[10]>t[4*n+n]&&(n=2);const r=(n+1)%3,o=(n+2)%3,c=Math.sqrt(t[4*n+n]-t[4*r+r]-t[4*o+o]+1);e[n]=.5*c;const u=.5/c;e[3]=(t[4*r+o]-t[4*o+r])*u,e[r]=(t[4*r+n]+t[4*n+r])*u,e[o]=(t[4*o+n]+t[4*n+o])*u}return e},fromEuler:function(t,r,e,o,c){const u=c??new n(4),a=.5*t,s=.5*r,i=.5*e,f=Math.sin(a),M=Math.cos(a),h=Math.sin(s),l=Math.cos(s),w=Math.sin(i),m=Math.cos(i);switch(o){case"xyz":u[0]=f*l*m+M*h*w,u[1]=M*h*m-f*l*w,u[2]=M*l*w+f*h*m,u[3]=M*l*m-f*h*w;break;case"xzy":u[0]=f*l*m-M*h*w,u[1]=M*h*m-f*l*w,u[2]=M*l*w+f*h*m,u[3]=M*l*m+f*h*w;break;case"yxz":u[0]=f*l*m+M*h*w,u[1]=M*h*m-f*l*w,u[2]=M*l*w-f*h*m,u[3]=M*l*m+f*h*w;break;case"yzx":u[0]=f*l*m+M*h*w,u[1]=M*h*m+f*l*w,u[2]=M*l*w-f*h*m,u[3]=M*l*m-f*h*w;break;case"zxy":u[0]=f*l*m-M*h*w,u[1]=M*h*m+f*l*w,u[2]=M*l*w+f*h*m,u[3]=M*l*m-f*h*w;break;case"zyx":u[0]=f*l*m-M*h*w,u[1]=M*h*m+f*l*w,u[2]=M*l*w-f*h*m,u[3]=M*l*m+f*h*w;break;default:throw new Error(`Unknown rotation order: ${o}`)}return u},copy:i,clone:M,add:function(t,r,e){const o=e??new n(4);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o[2]=t[2]+r[2],o[3]=t[3]+r[3],o},subtract:h,sub:l,mulScalar:w,scale:m,divScalar:function(t,r,e){const o=e??new n(4);return o[0]=t[0]/r,o[1]=t[1]/r,o[2]=t[2]/r,o[3]=t[3]/r,o},dot:d,lerp:function(t,r,e,o){const c=o??new n(4);return c[0]=t[0]+e*(r[0]-t[0]),c[1]=t[1]+e*(r[1]-t[1]),c[2]=t[2]+e*(r[2]-t[2]),c[3]=t[3]+e*(r[3]-t[3]),c},length:v,len:p,lengthSq:q,lenSq:b,normalize:g,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0]).999999?(u[0]=0,u[1]=0,u[2]=0,u[3]=1,u):(t.cross(r,e,x),u[0]=x[0],u[1]=x[1],u[2]=x[2],u[3]=1+a,g(u,u))},sqlerp:function(t,r,e,o,c,u){const a=u??new n(4);return s(t,o,c,S),s(r,e,c,z),s(S,z,2*c*(1-c),a),a}}}(n),l.set(n,t)),t}const m=new Map;function d(n){let t=m.get(n);return t||(t=function(n){function t(t,r,e,o){const c=new n(4);return void 0!==t&&(c[0]=t,void 0!==r&&(c[1]=r,void 0!==e&&(c[2]=e,void 0!==o&&(c[3]=o)))),c}function r(t,r,e){const o=e??new n(4);return o[0]=t[0]-r[0],o[1]=t[1]-r[1],o[2]=t[2]-r[2],o[3]=t[3]-r[3],o}function o(t,r,e,o){const c=o??new n(4);return c[0]=t[0]+e*(r[0]-t[0]),c[1]=t[1]+e*(r[1]-t[1]),c[2]=t[2]+e*(r[2]-t[2]),c[3]=t[3]+e*(r[3]-t[3]),c}function c(t,r,e){const o=e??new n(4);return o[0]=t[0]*r,o[1]=t[1]*r,o[2]=t[2]*r,o[3]=t[3]*r,o}function u(t,r){const e=r??new n(4);return e[0]=1/t[0],e[1]=1/t[1],e[2]=1/t[2],e[3]=1/t[3],e}function a(n){const t=n[0],r=n[1],e=n[2],o=n[3];return Math.sqrt(t*t+r*r+e*e+o*o)}function s(n){const t=n[0],r=n[1],e=n[2],o=n[3];return t*t+r*r+e*e+o*o}function i(n,t){const r=n[0]-t[0],e=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return Math.sqrt(r*r+e*e+o*o+c*c)}function f(n,t){const r=n[0]-t[0],e=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return r*r+e*e+o*o+c*c}function M(t,r){const e=r??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(e[0]=o/s,e[1]=c/s,e[2]=u/s,e[3]=a/s):(e[0]=0,e[1]=0,e[2]=0,e[3]=0),e}function h(t,r){const e=r??new n(4);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e}function l(t,r,e){const o=e??new n(4);return o[0]=t[0]*r[0],o[1]=t[1]*r[1],o[2]=t[2]*r[2],o[3]=t[3]*r[3],o}function w(t,r,e){const o=e??new n(4);return o[0]=t[0]/r[0],o[1]=t[1]/r[1],o[2]=t[2]/r[2],o[3]=t[3]/r[3],o}function m(t,r,e){const o=e??new n(4);return M(t,o),c(o,r,o)}return{create:t,fromValues:t,set:function(t,r,e,o,c){const u=c??new n(4);return u[0]=t,u[1]=r,u[2]=e,u[3]=o,u},ceil:function(t,r){const e=r??new n(4);return e[0]=Math.ceil(t[0]),e[1]=Math.ceil(t[1]),e[2]=Math.ceil(t[2]),e[3]=Math.ceil(t[3]),e},floor:function(t,r){const e=r??new n(4);return e[0]=Math.floor(t[0]),e[1]=Math.floor(t[1]),e[2]=Math.floor(t[2]),e[3]=Math.floor(t[3]),e},round:function(t,r){const e=r??new n(4);return e[0]=Math.round(t[0]),e[1]=Math.round(t[1]),e[2]=Math.round(t[2]),e[3]=Math.round(t[3]),e},clamp:function(t,r=0,e=1,o){const c=o??new n(4);return c[0]=Math.min(e,Math.max(r,t[0])),c[1]=Math.min(e,Math.max(r,t[1])),c[2]=Math.min(e,Math.max(r,t[2])),c[3]=Math.min(e,Math.max(r,t[3])),c},add:function(t,r,e){const o=e??new n(4);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o[2]=t[2]+r[2],o[3]=t[3]+r[3],o},addScaled:function(t,r,e,o){const c=o??new n(4);return c[0]=t[0]+r[0]*e,c[1]=t[1]+r[1]*e,c[2]=t[2]+r[2]*e,c[3]=t[3]+r[3]*e,c},subtract:r,sub:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])r?m(t,r,o):h(t,o)},midpoint:function(t,r,e){return o(t,r,.5,e??new n(4))}}}(n),m.set(n,t)),t}function v(n,t,r,e,o,c){return{mat3:s(n),mat4:h(t),quat:w(r),vec2:u(e),vec3:f(o),vec4:d(c)}}const{mat3:p,mat4:q,quat:b,vec2:g,vec3:x,vec4:y}=v(Float32Array,Float32Array,Float32Array,Float32Array,Float32Array,Float32Array),{mat3:A,mat4:S,quat:z,vec2:F,vec3:k,vec4:T}=v(Float64Array,Float64Array,Float64Array,Float64Array,Float64Array,Float64Array),{mat3:I,mat4:P,quat:V,vec2:Z,vec3:L,vec4:R}=v(n,Array,Array,Array,Array,Array);export{p as mat3,A as mat3d,I as mat3n,q as mat4,S as mat4d,P as mat4n,b as quat,z as quatd,V as quatn,o as utils,g as vec2,F as vec2d,Z as vec2n,x as vec3,k as vec3d,L as vec3n,y as vec4,T as vec4d,R as vec4n}; +const n=(t=Array,r=n=>n.fill(0),class extends t{constructor(...n){super(...n),r(this)}});var t,r;let e=1e-6;var o={__proto__:null,get EPSILON(){return e},degToRad:function(n){return n*Math.PI/180},euclideanModulo:function(n,t){return(n%t+t)%t},inverseLerp:function(n,t,r){const o=t-n;return Math.abs(t-n)1e-5?(e[0]=o/u,e[1]=c/u):(e[0]=0,e[1]=0),e}function l(t,r){const e=r??new n(2);return e[0]=t[0],e[1]=t[1],e}function w(t,r,e){const o=e??new n(2);return o[0]=t[0]*r[0],o[1]=t[1]*r[1],o}function m(t,r,e){const o=e??new n(2);return o[0]=t[0]/r[0],o[1]=t[1]/r[1],o}function d(t,r,e){const o=e??new n(2);return h(t,o),c(o,r,o)}return{create:t,fromValues:t,set:function(t,r,e){const o=e??new n(2);return o[0]=t,o[1]=r,o},ceil:function(t,r){const e=r??new n(2);return e[0]=Math.ceil(t[0]),e[1]=Math.ceil(t[1]),e},floor:function(t,r){const e=r??new n(2);return e[0]=Math.floor(t[0]),e[1]=Math.floor(t[1]),e},round:function(t,r){const e=r??new n(2);return e[0]=Math.round(t[0]),e[1]=Math.round(t[1]),e},clamp:function(t,r=0,e=1,o){const c=o??new n(2);return c[0]=Math.min(e,Math.max(r,t[0])),c[1]=Math.min(e,Math.max(r,t[1])),c},add:function(t,r,e){const o=e??new n(2);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o},addScaled:function(t,r,e,o){const c=o??new n(2);return c[0]=t[0]+r[0]*e,c[1]=t[1]+r[1]*e,c},angle:function(n,t){const r=n[0],e=n[1],o=t[0],c=t[1],u=Math.sqrt(r*r+e*e)*Math.sqrt(o*o+c*c),s=u&&a(n,t)/u;return Math.acos(s)},subtract:r,sub:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])r?d(t,r,o):l(t,o)},midpoint:function(t,r,e){return o(t,r,.5,e??new n(2))}}}(n),c.set(n,t)),t}const a=new Map;function s(n){let t=a.get(n);return t||(t=function(n){function t(t,r,e){const o=new n(3);return void 0!==t&&(o[0]=t,void 0!==r&&(o[1]=r,void 0!==e&&(o[2]=e))),o}function r(t,r,e){const o=e??new n(3);return o[0]=t[0]-r[0],o[1]=t[1]-r[1],o[2]=t[2]-r[2],o}function o(t,r,e,o){const c=o??new n(3);return c[0]=t[0]+e*(r[0]-t[0]),c[1]=t[1]+e*(r[1]-t[1]),c[2]=t[2]+e*(r[2]-t[2]),c}function c(t,r,e){const o=e??new n(3);return o[0]=t[0]*r,o[1]=t[1]*r,o[2]=t[2]*r,o}function u(t,r){const e=r??new n(3);return e[0]=1/t[0],e[1]=1/t[1],e[2]=1/t[2],e}function a(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]}function s(n){const t=n[0],r=n[1],e=n[2];return Math.sqrt(t*t+r*r+e*e)}function i(n){const t=n[0],r=n[1],e=n[2];return t*t+r*r+e*e}function f(n,t){const r=n[0]-t[0],e=n[1]-t[1],o=n[2]-t[2];return Math.sqrt(r*r+e*e+o*o)}function M(n,t){const r=n[0]-t[0],e=n[1]-t[1],o=n[2]-t[2];return r*r+e*e+o*o}function h(t,r){const e=r??new n(3),o=t[0],c=t[1],u=t[2],a=Math.sqrt(o*o+c*c+u*u);return a>1e-5?(e[0]=o/a,e[1]=c/a,e[2]=u/a):(e[0]=0,e[1]=0,e[2]=0),e}function l(t,r){const e=r??new n(3);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e}function w(t,r,e){const o=e??new n(3);return o[0]=t[0]*r[0],o[1]=t[1]*r[1],o[2]=t[2]*r[2],o}function m(t,r,e){const o=e??new n(3);return o[0]=t[0]/r[0],o[1]=t[1]/r[1],o[2]=t[2]/r[2],o}function d(t,r,e){const o=e??new n(3);return h(t,o),c(o,r,o)}return{create:t,fromValues:t,set:function(t,r,e,o){const c=o??new n(3);return c[0]=t,c[1]=r,c[2]=e,c},ceil:function(t,r){const e=r??new n(3);return e[0]=Math.ceil(t[0]),e[1]=Math.ceil(t[1]),e[2]=Math.ceil(t[2]),e},floor:function(t,r){const e=r??new n(3);return e[0]=Math.floor(t[0]),e[1]=Math.floor(t[1]),e[2]=Math.floor(t[2]),e},round:function(t,r){const e=r??new n(3);return e[0]=Math.round(t[0]),e[1]=Math.round(t[1]),e[2]=Math.round(t[2]),e},clamp:function(t,r=0,e=1,o){const c=o??new n(3);return c[0]=Math.min(e,Math.max(r,t[0])),c[1]=Math.min(e,Math.max(r,t[1])),c[2]=Math.min(e,Math.max(r,t[2])),c},add:function(t,r,e){const o=e??new n(3);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o[2]=t[2]+r[2],o},addScaled:function(t,r,e,o){const c=o??new n(3);return c[0]=t[0]+r[0]*e,c[1]=t[1]+r[1]*e,c[2]=t[2]+r[2]*e,c},angle:function(n,t){const r=n[0],e=n[1],o=n[2],c=t[0],u=t[1],s=t[2],i=Math.sqrt(r*r+e*e+o*o)*Math.sqrt(c*c+u*u+s*s),f=i&&a(n,t)/i;return Math.acos(f)},subtract:r,sub:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])r?d(t,r,o):l(t,o)},midpoint:function(t,r,e){return o(t,r,.5,e??new n(3))}}}(n),a.set(n,t)),t}const i=new Map;function f(n){let t=i.get(n);return t||(t=function(n){const t=u(n),r=s(n);function o(t,r){const e=r??new n(12);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[4]=t[4],e[5]=t[5],e[6]=t[6],e[8]=t[8],e[9]=t[9],e[10]=t[10],e}function c(t){const r=t??new n(12);return r[0]=1,r[1]=0,r[2]=0,r[4]=0,r[5]=1,r[6]=0,r[8]=0,r[9]=0,r[10]=1,r}function a(t,r){const e=r??new n(12),o=t[0],c=t[1],u=t[2],a=t[4],s=t[5],i=t[6],f=t[8],M=t[9],h=t[10],l=h*s-i*M,w=-h*a+i*f,m=M*a-s*f,d=1/(o*l+c*w+u*m);return e[0]=l*d,e[1]=(-h*c+u*M)*d,e[2]=(i*c-u*s)*d,e[4]=w*d,e[5]=(h*o-u*f)*d,e[6]=(-i*o+u*a)*d,e[8]=m*d,e[9]=(-M*o+c*f)*d,e[10]=(s*o-c*a)*d,e}function i(t,r,e){const o=e??new n(12),c=t[0],u=t[1],a=t[2],s=t[4],i=t[5],f=t[6],M=t[8],h=t[9],l=t[10],w=r[0],m=r[1],d=r[2],v=r[4],q=r[5],p=r[6],b=r[8],g=r[9],x=r[10];return o[0]=c*w+s*m+M*d,o[1]=u*w+i*m+h*d,o[2]=a*w+f*m+l*d,o[4]=c*v+s*q+M*p,o[5]=u*v+i*q+h*p,o[6]=a*v+f*q+l*p,o[8]=c*b+s*g+M*x,o[9]=u*b+i*g+h*x,o[10]=a*b+f*g+l*x,o}return{clone:o,create:function(t,r,e,o,c,u,a,s,i){const f=new n(12);return f[3]=0,f[7]=0,f[11]=0,void 0!==t&&(f[0]=t,void 0!==r&&(f[1]=r,void 0!==e&&(f[2]=e,void 0!==o&&(f[4]=o,void 0!==c&&(f[5]=c,void 0!==u&&(f[6]=u,void 0!==a&&(f[8]=a,void 0!==s&&(f[9]=s,void 0!==i&&(f[10]=i))))))))),f},set:function(t,r,e,o,c,u,a,s,i,f){const M=f??new n(12);return M[0]=t,M[1]=r,M[2]=e,M[3]=0,M[4]=o,M[5]=c,M[6]=u,M[7]=0,M[8]=a,M[9]=s,M[10]=i,M[11]=0,M},fromMat4:function(t,r){const e=r??new n(12);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=0,e[4]=t[4],e[5]=t[5],e[6]=t[6],e[7]=0,e[8]=t[8],e[9]=t[9],e[10]=t[10],e[11]=0,e},fromQuat:function(t,r){const e=r??new n(12),o=t[0],c=t[1],u=t[2],a=t[3],s=o+o,i=c+c,f=u+u,M=o*s,h=c*s,l=c*i,w=u*s,m=u*i,d=u*f,v=a*s,q=a*i,p=a*f;return e[0]=1-l-d,e[1]=h+p,e[2]=w-q,e[3]=0,e[4]=h-p,e[5]=1-M-d,e[6]=m+v,e[7]=0,e[8]=w+q,e[9]=m-v,e[10]=1-M-l,e[11]=0,e},negate:function(t,r){const e=r??new n(12);return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[4]=-t[4],e[5]=-t[5],e[6]=-t[6],e[8]=-t[8],e[9]=-t[9],e[10]=-t[10],e},copy:o,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])e){const n=Math.acos(v),t=Math.sin(n);M=Math.sin((1-o)*n)/t,h=Math.sin(o*n)/t}else M=1-o,h=o;return u[0]=M*a+h*l,u[1]=M*s+h*w,u[2]=M*i+h*m,u[3]=M*f+h*d,u}function f(t,r){const e=r??new n(4);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e}const M=f;function h(t,r,e){const o=e??new n(4);return o[0]=t[0]-r[0],o[1]=t[1]-r[1],o[2]=t[2]-r[2],o[3]=t[3]-r[3],o}const l=h;function w(t,r,e){const o=e??new n(4);return o[0]=t[0]*r,o[1]=t[1]*r,o[2]=t[2]*r,o[3]=t[3]*r,o}const m=w;function d(n,t){return n[0]*t[0]+n[1]*t[1]+n[2]*t[2]+n[3]*t[3]}function v(n){const t=n[0],r=n[1],e=n[2],o=n[3];return Math.sqrt(t*t+r*r+e*e+o*o)}const q=v;function p(n){const t=n[0],r=n[1],e=n[2],o=n[3];return t*t+r*r+e*e+o*o}const b=p;function g(t,r){const e=r??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(e[0]=o/s,e[1]=c/s,e[2]=u/s,e[3]=a/s):(e[0]=0,e[1]=0,e[2]=0,e[3]=1),e}const x=t.create(),y=t.create(),A=t.create(),S=new n(4),z=new n(4);return{create:r,fromValues:o,set:function(t,r,e,o,c){const u=c??new n(4);return u[0]=t,u[1]=r,u[2]=e,u[3]=o,u},fromAxisAngle:c,toAxisAngle:function(n,r){const o=r??t.create(3),c=2*Math.acos(n[3]),u=Math.sin(.5*c);return u>e?(o[0]=n[0]/u,o[1]=n[1]/u,o[2]=n[2]/u):(o[0]=1,o[1]=0,o[2]=0),{angle:c,axis:o}},angle:function(n,t){const r=d(n,t);return Math.acos(2*r*r-1)},multiply:u,mul:a,rotateX:function(t,r,e){const o=e??new n(4),c=.5*r,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),M=Math.cos(c);return o[0]=u*M+i*f,o[1]=a*M+s*f,o[2]=s*M-a*f,o[3]=i*M-u*f,o},rotateY:function(t,r,e){const o=e??new n(4),c=.5*r,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),M=Math.cos(c);return o[0]=u*M-s*f,o[1]=a*M+i*f,o[2]=s*M+u*f,o[3]=i*M-a*f,o},rotateZ:function(t,r,e){const o=e??new n(4),c=.5*r,u=t[0],a=t[1],s=t[2],i=t[3],f=Math.sin(c),M=Math.cos(c);return o[0]=u*M+a*f,o[1]=a*M-u*f,o[2]=s*M+i*f,o[3]=i*M-s*f,o},slerp:i,inverse:function(t,r){const e=r??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=o*o+c*c+u*u+a*a,i=s?1/s:0;return e[0]=-o*i,e[1]=-c*i,e[2]=-u*i,e[3]=a*i,e},conjugate:function(t,r){const e=r??new n(4);return e[0]=-t[0],e[1]=-t[1],e[2]=-t[2],e[3]=t[3],e},fromMat:function(t,r){const e=r??new n(4),o=t[0]+t[5]+t[10];if(o>0){const n=Math.sqrt(o+1);e[3]=.5*n;const r=.5/n;e[0]=(t[6]-t[9])*r,e[1]=(t[8]-t[2])*r,e[2]=(t[1]-t[4])*r}else{let n=0;t[5]>t[0]&&(n=1),t[10]>t[4*n+n]&&(n=2);const r=(n+1)%3,o=(n+2)%3,c=Math.sqrt(t[4*n+n]-t[4*r+r]-t[4*o+o]+1);e[n]=.5*c;const u=.5/c;e[3]=(t[4*r+o]-t[4*o+r])*u,e[r]=(t[4*r+n]+t[4*n+r])*u,e[o]=(t[4*o+n]+t[4*n+o])*u}return e},fromEuler:function(t,r,e,o,c){const u=c??new n(4),a=.5*t,s=.5*r,i=.5*e,f=Math.sin(a),M=Math.cos(a),h=Math.sin(s),l=Math.cos(s),w=Math.sin(i),m=Math.cos(i);switch(o){case"xyz":u[0]=f*l*m+M*h*w,u[1]=M*h*m-f*l*w,u[2]=M*l*w+f*h*m,u[3]=M*l*m-f*h*w;break;case"xzy":u[0]=f*l*m-M*h*w,u[1]=M*h*m-f*l*w,u[2]=M*l*w+f*h*m,u[3]=M*l*m+f*h*w;break;case"yxz":u[0]=f*l*m+M*h*w,u[1]=M*h*m-f*l*w,u[2]=M*l*w-f*h*m,u[3]=M*l*m+f*h*w;break;case"yzx":u[0]=f*l*m+M*h*w,u[1]=M*h*m+f*l*w,u[2]=M*l*w-f*h*m,u[3]=M*l*m-f*h*w;break;case"zxy":u[0]=f*l*m-M*h*w,u[1]=M*h*m+f*l*w,u[2]=M*l*w+f*h*m,u[3]=M*l*m-f*h*w;break;case"zyx":u[0]=f*l*m-M*h*w,u[1]=M*h*m+f*l*w,u[2]=M*l*w-f*h*m,u[3]=M*l*m+f*h*w;break;default:throw new Error(`Unknown rotation order: ${o}`)}return u},copy:f,clone:M,add:function(t,r,e){const o=e??new n(4);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o[2]=t[2]+r[2],o[3]=t[3]+r[3],o},subtract:h,sub:l,mulScalar:w,scale:m,divScalar:function(t,r,e){const o=e??new n(4);return o[0]=t[0]/r,o[1]=t[1]/r,o[2]=t[2]/r,o[3]=t[3]/r,o},dot:d,lerp:function(t,r,e,o){const c=o??new n(4);return c[0]=t[0]+e*(r[0]-t[0]),c[1]=t[1]+e*(r[1]-t[1]),c[2]=t[2]+e*(r[2]-t[2]),c[3]=t[3]+e*(r[3]-t[3]),c},length:v,len:q,lengthSq:p,lenSq:b,normalize:g,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0]).999999?(u[0]=0,u[1]=0,u[2]=0,u[3]=1,u):(t.cross(r,e,x),u[0]=x[0],u[1]=x[1],u[2]=x[2],u[3]=1+a,g(u,u))},sqlerp:function(t,r,e,o,c,u){const a=u??new n(4);return i(t,o,c,S),i(r,e,c,z),i(S,z,2*c*(1-c),a),a}}}(n),l.set(n,t)),t}const m=new Map;function d(n){let t=m.get(n);return t||(t=function(n){function t(t,r,e,o){const c=new n(4);return void 0!==t&&(c[0]=t,void 0!==r&&(c[1]=r,void 0!==e&&(c[2]=e,void 0!==o&&(c[3]=o)))),c}function r(t,r,e){const o=e??new n(4);return o[0]=t[0]-r[0],o[1]=t[1]-r[1],o[2]=t[2]-r[2],o[3]=t[3]-r[3],o}function o(t,r,e,o){const c=o??new n(4);return c[0]=t[0]+e*(r[0]-t[0]),c[1]=t[1]+e*(r[1]-t[1]),c[2]=t[2]+e*(r[2]-t[2]),c[3]=t[3]+e*(r[3]-t[3]),c}function c(t,r,e){const o=e??new n(4);return o[0]=t[0]*r,o[1]=t[1]*r,o[2]=t[2]*r,o[3]=t[3]*r,o}function u(t,r){const e=r??new n(4);return e[0]=1/t[0],e[1]=1/t[1],e[2]=1/t[2],e[3]=1/t[3],e}function a(n){const t=n[0],r=n[1],e=n[2],o=n[3];return Math.sqrt(t*t+r*r+e*e+o*o)}function s(n){const t=n[0],r=n[1],e=n[2],o=n[3];return t*t+r*r+e*e+o*o}function i(n,t){const r=n[0]-t[0],e=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return Math.sqrt(r*r+e*e+o*o+c*c)}function f(n,t){const r=n[0]-t[0],e=n[1]-t[1],o=n[2]-t[2],c=n[3]-t[3];return r*r+e*e+o*o+c*c}function M(t,r){const e=r??new n(4),o=t[0],c=t[1],u=t[2],a=t[3],s=Math.sqrt(o*o+c*c+u*u+a*a);return s>1e-5?(e[0]=o/s,e[1]=c/s,e[2]=u/s,e[3]=a/s):(e[0]=0,e[1]=0,e[2]=0,e[3]=0),e}function h(t,r){const e=r??new n(4);return e[0]=t[0],e[1]=t[1],e[2]=t[2],e[3]=t[3],e}function l(t,r,e){const o=e??new n(4);return o[0]=t[0]*r[0],o[1]=t[1]*r[1],o[2]=t[2]*r[2],o[3]=t[3]*r[3],o}function w(t,r,e){const o=e??new n(4);return o[0]=t[0]/r[0],o[1]=t[1]/r[1],o[2]=t[2]/r[2],o[3]=t[3]/r[3],o}function m(t,r,e){const o=e??new n(4);return M(t,o),c(o,r,o)}return{create:t,fromValues:t,set:function(t,r,e,o,c){const u=c??new n(4);return u[0]=t,u[1]=r,u[2]=e,u[3]=o,u},ceil:function(t,r){const e=r??new n(4);return e[0]=Math.ceil(t[0]),e[1]=Math.ceil(t[1]),e[2]=Math.ceil(t[2]),e[3]=Math.ceil(t[3]),e},floor:function(t,r){const e=r??new n(4);return e[0]=Math.floor(t[0]),e[1]=Math.floor(t[1]),e[2]=Math.floor(t[2]),e[3]=Math.floor(t[3]),e},round:function(t,r){const e=r??new n(4);return e[0]=Math.round(t[0]),e[1]=Math.round(t[1]),e[2]=Math.round(t[2]),e[3]=Math.round(t[3]),e},clamp:function(t,r=0,e=1,o){const c=o??new n(4);return c[0]=Math.min(e,Math.max(r,t[0])),c[1]=Math.min(e,Math.max(r,t[1])),c[2]=Math.min(e,Math.max(r,t[2])),c[3]=Math.min(e,Math.max(r,t[3])),c},add:function(t,r,e){const o=e??new n(4);return o[0]=t[0]+r[0],o[1]=t[1]+r[1],o[2]=t[2]+r[2],o[3]=t[3]+r[3],o},addScaled:function(t,r,e,o){const c=o??new n(4);return c[0]=t[0]+r[0]*e,c[1]=t[1]+r[1]*e,c[2]=t[2]+r[2]*e,c[3]=t[3]+r[3]*e,c},subtract:r,sub:r,equalsApproximately:function(n,t){return Math.abs(n[0]-t[0])r?m(t,r,o):h(t,o)},midpoint:function(t,r,e){return o(t,r,.5,e??new n(4))}}}(n),m.set(n,t)),t}function v(n,t,r,e,o,c){return{mat3:f(n),mat4:h(t),quat:w(r),vec2:u(e),vec3:s(o),vec4:d(c)}}const{mat3:q,mat4:p,quat:b,vec2:g,vec3:x,vec4:y}=v(Float32Array,Float32Array,Float32Array,Float32Array,Float32Array,Float32Array),{mat3:A,mat4:S,quat:z,vec2:F,vec3:k,vec4:T}=v(Float64Array,Float64Array,Float64Array,Float64Array,Float64Array,Float64Array),{mat3:I,mat4:P,quat:V,vec2:Z,vec3:L,vec4:R}=v(n,Array,Array,Array,Array,Array);export{q as mat3,A as mat3d,I as mat3n,p as mat4,S as mat4d,P as mat4n,b as quat,z as quatd,V as quatn,o as utils,g as vec2,F as vec2d,Z as vec2n,x as vec3,k as vec3d,L as vec3n,y as vec4,T as vec4d,R as vec4n}; //# sourceMappingURL=wgpu-matrix.module.min.js.map diff --git a/dist/3.x/wgpu-matrix.module.min.js.map b/dist/3.x/wgpu-matrix.module.min.js.map index 685e076..c2d1801 100644 --- a/dist/3.x/wgpu-matrix.module.min.js.map +++ b/dist/3.x/wgpu-matrix.module.min.js.map @@ -1 +1 @@ -{"version":3,"file":"wgpu-matrix.module.min.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/mat3-impl.ts","../../../src/vec3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n///**\n// * Returns the scaling component of the matrix\n// * @param m - The Matrix\n// * @param dst - The vector to set. If not passed a new one is created.\n// */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["ZeroArray","OriginalConstructor","modifier","a","fill","constructor","args","super","this","EPSILON","degrees","Math","PI","n","m","b","v","d","abs","t","radians","old","cache","Map","getAPI","Ctor","api","get","create","x","y","newDst","undefined","subtract","dst","lerp","mulScalar","k","inverse","dot","length","v0","v1","sqrt","lengthSq","distance","dx","dy","distanceSq","normalize","len","copy","multiply","divide","setLength","fromValues","set","ceil","floor","round","clamp","min","max","add","addScaled","scale","angle","ax","ay","bx","by","mag","cosine","acos","sub","equalsApproximately","utils.EPSILON","equals","lerpV","divScalar","invert","cross","z","lenSq","dist","distSq","negate","clone","mul","div","random","cos","sin","zero","transformMat4","transformMat3","rotate","rad","p0","p1","sinC","cosC","truncate","maxLen","midpoint","getAPIImpl","vec2","getVec2API","identity","m00","m01","m02","m10","m11","m12","m20","m21","m22","b01","b11","b21","invDet","a00","a01","a02","a10","a11","a12","a20","a21","a22","b00","b02","b10","b12","b20","b22","v2","v3","v4","v5","v6","v7","v8","fromMat4","m4","fromQuat","q","w","x2","y2","z2","xx","yx","yy","zx","zy","zz","wx","wy","wz","transpose","determinant","setTranslation","getTranslation","getAxis","axis","off","setAxis","getScaling","xy","translation","translate","rotation","angleInRadians","c","s","scaling","uniformScaling","uniformScale","dz","az","bz","t1","t2","zScale","transformMat4Upper3x3","transformQuat","qx","qy","qz","w2","uvX","uvY","uvZ","xz","yz","rotateX","p","r","rotateY","rotateZ","vec3","getVec3API","m03","m13","m23","m30","m31","m32","m33","tmp0","tmp1","tmp2","tmp3","tmp4","tmp5","tmp6","tmp7","tmp8","tmp9","tmp10","tmp11","tmp12","tmp13","tmp14","tmp15","tmp16","tmp17","tmp18","tmp19","tmp20","tmp21","tmp22","tmp23","t0","t3","a03","a13","a23","a30","a31","a32","a33","b03","b13","b23","b30","b31","b32","b33","xAxis","yAxis","zAxis","axisRotation","oneMinusCosine","axisRotate","r00","r01","r02","r10","r11","r12","r20","r21","r22","v9","v10","v11","v12","v13","v14","v15","fromMat3","m3","perspective","fieldOfViewYInRadians","aspect","zNear","zFar","f","tan","Number","isFinite","rangeInv","perspectiveReverseZ","Infinity","ortho","left","right","bottom","top","near","far","frustum","frustumReverseZ","aim","position","target","up","cameraAim","eye","lookAt","rotationX","rotationY","rotationZ","fromAxisAngle","halfAngle","aw","bw","slerp","scale0","scale1","cosOmega","omega","sinOmega","tempVec3","xUnitVec3","yUnitVec3","tempQuat1","tempQuat2","toAxisAngle","qw","a0","a1","a2","a3","invDot","conjugate","fromMat","trace","root","invRoot","i","j","fromEuler","xAngleInRadians","yAngleInRadians","zAngleInRadians","order","xHalfAngle","yHalfAngle","zHalfAngle","sx","cx","sy","cy","sz","cz","Error","rotationTo","aUnit","bUnit","sqlerp","dw","wgpuMatrixAPI","Mat3Ctor","Mat4Ctor","QuatCtor","Vec2Ctor","Vec3Ctor","Vec4Ctor","mat3","getMat3API","mat4","getMat4API","quat","getQuatAPI","vec4","getVec4API","Float32Array","mat3d","mat4d","quatd","vec2d","vec3d","vec4d","Float64Array","mat3n","mat4n","quatn","vec2n","vec3n","vec4n","Array"],"mappings":"AAkBO,MAAMA,GAXXC,EAWsC,MAVtCC,EAUsDC,GAAKA,EAAEC,KAAK,GAR3D,cAAcH,EACnB,WAAAI,IAAeC,GACbC,SAASD,GACTJ,EAASM,KACV,IARL,IACEP,EACAC,ECcK,IAAIO,EAAU,4DAkBf,SAAmBC,GACvB,OAAOA,EAAUC,KAAKC,GAAK,GAC7B,kBAqDgB,SAAgBC,EAAWC,GACzC,OAASD,EAAIC,EAAKA,GAAKA,CACzB,uBAxB4BX,EAAWY,EAAWC,GAChD,MAAMC,EAAIF,EAAIZ,EACd,OAAQQ,KAAKO,IAAIH,EAAIZ,GAAKM,EACrBN,GACCa,EAAIb,GAAKc,CACjB,gBAlBqBd,EAAWY,EAAWI,GACzC,OAAOhB,GAAKY,EAAIZ,GAAKgB,CACvB,WAbM,SAAmBC,GACvB,OAAiB,IAAVA,EAAgBT,KAAKC,EAC9B,aAtBM,SAAqBI,GACzB,MAAMK,EAAMZ,EAEZ,OADAA,EAAUO,EACHK,CACT,GCgwBA,MAAMC,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAnwBJ,SAA4DD,GAkB5D,SAASG,EAAOC,EAAI,EAAGC,EAAI,GACzB,MAAMC,EAAS,IAAIN,EAAK,GAOxB,YANUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,IAGTC,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA0CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAgED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAiCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAmCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAOZ,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,EAC/B,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EACjC,CAcD,SAASE,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,CACvB,CAeD,SAASG,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EACjC,CAgBD,SAASC,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,CACvB,CAgBD,SAASE,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,GAUrC,OARIQ,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAwBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAiHD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WAtqBiB3B,EAuqBjB4B,IA5pBF,SAA0C3B,EAAWC,EAAWI,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EAELC,CACR,EAspBC0B,KA9oBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAwoBC2B,MAhoBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA0nBC4B,MAlnBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA4mBC6B,MAlmBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA4lBCgC,IAnlBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6kBCiC,UAnkBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA6jBCmC,MArjBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,GACzBzD,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,GAEhCE,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EA4iBCvC,WACAyC,IAphBUzC,EAqhBV0C,oBA7gBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EA2gBCC,OAngBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACpC,EAkgBCoB,OACA2C,MApeF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EA8dC+B,IAndF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA6cC8B,IAlcF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA4bCK,YACA6B,MApaY7B,EAqaZ2C,UA5ZF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAsZCO,UACA0C,OAhYa1C,EAiYb2C,MAvXF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1ByD,EAAI/E,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKjC,OAJAgB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAKmD,EAELnD,CACR,EAgXCQ,MACAC,SACAU,IArVUV,EAsVVI,WACAuC,MArUYvC,EAsUZC,WACAuC,KAnTWvC,EAoTXG,aACAqC,OAjSarC,EAkSbC,YACAqC,OAnQF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA6PCoB,OACAoC,MArOYpC,EAsOZC,WACAoC,IA5MUpC,EA6MVC,SACAoC,IAnLUpC,EAoLVqC,OA5KF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GAIvC,OAHAmB,EAAO,GAAKpB,KAAKgF,IAAIzB,GAASD,EAC9BlC,EAAO,GAAKpB,KAAKiF,IAAI1B,GAASD,EAEvBlC,CACR,EAqKC8D,KA9JF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EAwJC+D,cA9IF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IACpCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IAE7BiB,CACR,EAqICgE,cA3HF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GACpCiB,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAE7BiB,CACR,EAkHCiE,OAxGF,SAA6C7F,EAAYY,EAAYkF,EAAa/D,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAG1ByE,EAAK/F,EAAE,GAAKY,EAAE,GACdoF,EAAKhG,EAAE,GAAKY,EAAE,GACdqF,EAAOzF,KAAKiF,IAAIK,GAChBI,EAAO1F,KAAKgF,IAAIM,GAMtB,OAHAlE,EAAO,GAAKmE,EAAKG,EAAOF,EAAKC,EAAOrF,EAAE,GACtCgB,EAAO,GAAKmE,EAAKE,EAAOD,EAAKE,EAAOtF,EAAE,GAE/BgB,CACR,EA2FCuB,YACAgD,SAtEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA+DCyE,SAtDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAqDD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC5CA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA9tBJ,SAA4DD,GAC1D,MAAMiF,EAAOC,EAAoBlF,GAiKnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAElDiB,CACR,CAqDD,SAAS6E,EAAsC1E,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,CAuDD,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAERwG,EAAOD,EAAMJ,EAAMC,EAAME,EACzBG,GAAOF,EAAML,EAAME,EAAMC,EACzBK,EAAOJ,EAAMJ,EAAMC,EAAME,EAEzBM,EAAS,GAAKZ,EAAMS,EAAMR,EAAMS,EAAMR,EAAMS,GAYlD,OAVAzF,EAAQ,GAAKuF,EAAMG,EACnB1F,EAAQ,KAAOsF,EAAMP,EAAMC,EAAMK,GAAOK,EACxC1F,EAAQ,IAAOmF,EAAMJ,EAAMC,EAAME,GAAOQ,EACxC1F,EAAQ,GAAKwF,EAAME,EACnB1F,EAAQ,IAAOsF,EAAMR,EAAME,EAAMI,GAAOM,EACxC1F,EAAQ,KAAOmF,EAAML,EAAME,EAAMC,GAAOS,EACxC1F,EAAQ,GAAKyF,EAAMC,EACnB1F,EAAQ,KAAOqF,EAAMP,EAAMC,EAAMK,GAAOM,EACxC1F,EAAO,KAAQkF,EAAMJ,EAAMC,EAAME,GAAOS,EAEjC1F,CACR,CAsCD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BiG,EAAMvH,EAAE,GACRwH,EAAMxH,EAAE,GACRyH,EAAMzH,EAAE,GACR0H,EAAM1H,EAAG,GACT2H,EAAM3H,EAAG,GACT4H,EAAM5H,EAAG,GACT6H,EAAM7H,EAAG,GACT8H,EAAM9H,EAAG,GACT+H,EAAM/H,EAAG,IACTgI,EAAMpH,EAAE,GACRuG,EAAMvG,EAAE,GACRqH,EAAMrH,EAAE,GACRsH,EAAMtH,EAAG,GACTwG,EAAMxG,EAAG,GACTuH,EAAMvH,EAAG,GACTwH,EAAMxH,EAAG,GACTyG,EAAMzG,EAAG,GACTyH,EAAMzH,EAAG,IAYf,OAVAgB,EAAQ,GAAK2F,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAC3CrG,EAAQ,GAAK4F,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAC3CrG,EAAQ,GAAK6F,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAC3CrG,EAAQ,GAAK2F,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAC3CvG,EAAQ,GAAK4F,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAC3CvG,EAAQ,GAAK6F,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAC3CvG,EAAQ,GAAK2F,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAC3CzG,EAAQ,GAAK4F,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAC3CzG,EAAO,IAAM6F,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAEpCzG,CACR,CAkTD,MAAO,CACLwD,MAngBYpC,EAogBZvB,OA7pBF,SACIa,EAAaC,EAAa+F,EAC1BC,EAAaC,EAAaC,EAC1BC,EAAaC,EAAaC,GAC5B,MAAMhH,EAAS,IAAIN,EAAK,IAkCxB,OAhCAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,IAAM,OAEFC,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAPyG,IACF1G,EAAO,GAAK0G,OACDzG,IAAP0G,IACF3G,EAAO,GAAK2G,OACD1G,IAAP2G,IACF5G,EAAO,GAAK4G,OACD3G,IAAP4G,IACF7G,EAAO,GAAK6G,OACD5G,IAAP6G,IACF9G,EAAO,GAAK8G,OACD7G,IAAP8G,IACF/G,EAAO,GAAK+G,OACD9G,IAAP+G,IACFhH,EAAO,IAAMgH,WAWxBhH,CACR,EAunBCyB,IArmBF,SACIf,EAAYC,EAAY+F,EACxBC,EAAYC,EAAYC,EACxBC,EAAYC,EAAYC,EAAY7G,GACtC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAO,GAAKU,EAAKV,EAAO,GAAKW,EAAKX,EAAQ,GAAK0G,EAAK1G,EAAQ,GAAK,EACjEA,EAAO,GAAK2G,EAAK3G,EAAO,GAAK4G,EAAK5G,EAAQ,GAAK6G,EAAK7G,EAAQ,GAAK,EACjEA,EAAO,GAAK8G,EAAK9G,EAAO,GAAK+G,EAAK/G,EAAO,IAAMgH,EAAKhH,EAAO,IAAM,EAE1DA,CACR,EA2lBCiH,SAnlBF,SAA+CC,EAAa/G,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAIhC,OAHAM,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,GAAKkH,EAAG,GAAKlH,EAAQ,GAAKkH,EAAI,GAAKlH,EAAQ,GAAK,EAC3EA,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,GAAKkH,EAAG,GAAKlH,EAAQ,GAAKkH,EAAI,GAAKlH,EAAQ,GAAK,EAC3EA,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,GAAKkH,EAAG,GAAKlH,EAAO,IAAMkH,EAAG,IAAMlH,EAAO,IAAM,EACpEA,CACR,EA8kBCmH,SAtkBF,SAA+CC,EAAYjH,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIsH,EAAE,GAAUrH,EAAIqH,EAAE,GAAUjE,EAAIiE,EAAE,GAAUC,EAAID,EAAE,GACtDE,EAAKxH,EAAIA,EAASyH,EAAKxH,EAAIA,EAASyH,EAAKrE,EAAIA,EAE7CsE,EAAK3H,EAAIwH,EACTI,EAAK3H,EAAIuH,EACTK,EAAK5H,EAAIwH,EACTK,EAAKzE,EAAImE,EACTO,EAAK1E,EAAIoE,EACTO,EAAK3E,EAAIqE,EACTO,EAAKV,EAAIC,EACTU,EAAKX,EAAIE,EACTU,EAAKZ,EAAIG,EAMf,OAJAxH,EAAQ,GAAK,EAAI2H,EAAKG,EAAK9H,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK,EAC9FA,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK,EAAIyH,EAAKK,EAAK9H,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAQ,GAAK,EAC9FA,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAO,IAAM,EAAIyH,EAAKE,EAAK3H,EAAO,IAAM,EAEvFA,CACR,EAkjBCuD,OA1iBF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAErDiB,CACR,EAmiBCoB,OACAwB,oBAlgBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EAyfCC,OAjfF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,GACpB,EAweC6F,WACAqD,UAjdF,SAAgDnJ,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAkBJ,OAZAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEAY,CACR,CAED,MAAM8E,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAMd,OAJAiB,EAAQ,GAAK8E,EAAM9E,EAAQ,GAAKiF,EAAMjF,EAAQ,GAAKoF,EACnDpF,EAAQ,GAAK+E,EAAM/E,EAAQ,GAAKkF,EAAMlF,EAAQ,GAAKqF,EACnDrF,EAAQ,GAAKgF,EAAMhF,EAAQ,GAAKmF,EAAMnF,EAAO,IAAMsF,EAE5CtF,CACR,EA2aCO,UACA0C,OAzWa1C,EA0Wb4H,YAhYF,SAAqBpJ,GACnB,MAAM+F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAEd,OAAO+F,GAAOI,EAAMI,EAAMD,EAAMF,GACzBF,GAAOF,EAAMO,EAAMD,EAAML,GACzBI,GAAOL,EAAMI,EAAMD,EAAMF,EACjC,EAmXCvB,IAxTUpC,EAyTVA,WACA+G,eAhTF,SAAqDhK,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAO0E,IAYvB,OAXIzG,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,IAElB4B,EAAQ,GAAKf,EAAE,GACfe,EAAQ,GAAKf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EAmSCqI,eA1RF,SAAqDtJ,EAAYoB,GAC/D,MAAMH,EAAUG,GAAOwE,EAAK9E,SAG5B,OAFAG,EAAO,GAAKjB,EAAE,GACdiB,EAAO,GAAKjB,EAAE,GACPiB,CACR,EAsRCsI,QA9QF,SAA8CvJ,EAAYwJ,EAAcpI,GACtE,MAAMH,EAAUG,GAAOwE,EAAK9E,SACtB2I,EAAa,EAAPD,EAGZ,OAFAvI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACbxI,CACR,EAyQCyI,QA/PF,SAA8C1J,EAAYE,EAAYsJ,EAAcpI,GAClF,MAAMH,EAAUG,IAAQpB,EAAIA,EAAIqC,EAAKrC,EAAGoB,GAElCqI,EAAa,EAAPD,EAGZ,OAFAvI,EAAOwI,EAAM,GAAKvJ,EAAE,GACpBe,EAAOwI,EAAM,GAAKvJ,EAAE,GACbe,CACR,EAyPC0I,WAlPF,SAAiD3J,EAAYoB,GAC3D,MAAMH,EAAUG,GAAOwE,EAAK9E,SAEtB4H,EAAK1I,EAAE,GACP4J,EAAK5J,EAAE,GACP2I,EAAK3I,EAAE,GACP4I,EAAK5I,EAAE,GAKb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAK6G,EAAKA,EAAKkB,EAAKA,GACrC3I,EAAO,GAAKpB,KAAKgC,KAAK8G,EAAKA,EAAKC,EAAKA,GAE9B3H,CACR,EAuOC4I,YA/NF,SAAkD3J,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAKf,EAAE,GAAKe,EAAO,IAAM,EAE9CA,CACR,EAwNC6I,UA/MF,SAAgD9J,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAEP6F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IAed,OAbIA,IAAMiB,IACRA,EAAQ,GAAK8E,EACb9E,EAAQ,GAAK+E,EACb/E,EAAQ,GAAKgF,EACbhF,EAAQ,GAAKiF,EACbjF,EAAQ,GAAKkF,EACblF,EAAQ,GAAKmF,GAGfnF,EAAQ,GAAK8E,EAAMpE,EAAKuE,EAAMtE,EAAKyE,EACnCpF,EAAQ,GAAK+E,EAAMrE,EAAKwE,EAAMvE,EAAK0E,EACnCrF,EAAO,IAAMgF,EAAMtE,EAAKyE,EAAMxE,EAAK2E,EAE5BtF,CACR,EAkLC8I,SA1KF,SAA+CC,EAAwB5I,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAMnB,OAJA/I,EAAQ,GAAMgJ,EAAIhJ,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAChDA,EAAQ,IAAMiJ,EAAIjJ,EAAQ,GAAKgJ,EAAIhJ,EAAQ,GAAK,EAChDA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAEzCA,CACR,EAgKCiE,OAvJF,SAA6ClF,EAAYgK,EAAwB5I,GAC/E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAiBnB,OAfA/I,EAAQ,GAAKgJ,EAAIlE,EAAMmE,EAAIhE,EAC3BjF,EAAQ,GAAKgJ,EAAIjE,EAAMkE,EAAI/D,EAC3BlF,EAAQ,GAAKgJ,EAAIhE,EAAMiE,EAAI9D,EAE3BnF,EAAQ,GAAKgJ,EAAI/D,EAAMgE,EAAInE,EAC3B9E,EAAQ,GAAKgJ,EAAI9D,EAAM+D,EAAIlE,EAC3B/E,EAAQ,GAAKgJ,EAAI7D,EAAM8D,EAAIjE,EAGvBjG,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA4HCkJ,QAjHF,SAA8CjK,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAE9CA,CACR,EA0GCkC,MA9FF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAgBb,OAdAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GAEpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GAEhBA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA0ECmJ,eAlEF,SAAqDF,EAAW9I,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,EA2DCoJ,aAjDF,SAAmDrK,EAAYkK,EAAW9I,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAgBhC,OAdAM,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GAEnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GAEfA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAkCD,CASU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCoPA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA79BJ,SAA4DD,GAS5D,SAASG,EAAOC,EAAYC,EAAYoD,GACtC,MAAMnD,EAAS,IAAIN,EAAK,GAUxB,YATUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,KAIXnD,CACR,CA+JD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA2CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAmED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAkCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAqCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClD,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAC3C,CAcD,SAAS7F,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,CACjC,CAeD,SAAS5F,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,EAC3C,CAgBD,SAASpI,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,CACjC,CAgBD,SAASnI,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,GAa/C,OAXIvF,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK0G,EAAKvF,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAIPA,CACR,CAyBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAuSD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WA73BiB3B,EA83BjB4B,IAl3BF,SAA0C3B,EAAWC,EAAWoD,EAAWhD,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EAELnD,CACR,EA22BC0B,KAn2BF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EA41BC2B,MAp1BF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA60BC4B,MAr0BF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA8zBC6B,MApzBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA6yBCgC,IApyBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6xBCiC,UAnxBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA4wBCmC,MApwBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkL,EAAKlL,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACPuK,EAAKvK,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,EAAKiH,EAAKA,GACnC1K,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,EAAKgH,EAAKA,GAE1C9G,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EAyvBCvC,WACAyC,IAhuBUzC,EAiuBV0C,oBAztBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAstBCC,OA9sBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACrD,EA6sBCoB,OACA2C,MA9qBF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAuqBC+B,IA5pBF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAqpBC8B,IA1oBF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAmoBCK,YACA6B,MA1mBY7B,EA2mBZ2C,UAlmBF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EA2lBCO,UACA0C,OApkBa1C,EAqkBb2C,MA3jBF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B8J,EAAKpL,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAC5ByK,EAAKrL,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKlC,OAJAgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GACnCgB,EAAO,GAAKwJ,EACZxJ,EAAO,GAAKyJ,EAELzJ,CACR,EAkjBCQ,MACAC,SACAU,IAthBUV,EAuhBVI,WACAuC,MArgBYvC,EAsgBZC,WACAuC,KAlfWvC,EAmfXG,aACAqC,OA/darC,EAgebC,YACAqC,OA7bF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EAsbCoB,OACAoC,MA7ZYpC,EA8ZZC,WACAoC,IAnYUpC,EAoYVC,SACAoC,IAzWUpC,EA0WVqC,OAlWF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GACjCsE,EAAoB,EAAhBvE,KAAK+E,SAAe,EACxB+F,EAAS9K,KAAKgC,KAAK,EAAIuC,EAAIA,GAAKjB,EAKtC,OAJAlC,EAAO,GAAKpB,KAAKgF,IAAIzB,GAASuH,EAC9B1J,EAAO,GAAKpB,KAAKiF,IAAI1B,GAASuH,EAC9B1J,EAAO,GAAKmD,EAAIjB,EAETlC,CACR,EAwVC8D,KAjVF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA0UC+D,cAhUF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNoI,EAAKtI,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAQ,EAMvD,OAJAiB,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOsI,EACvDrH,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOsI,EACvDrH,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAOsI,EAEjDrH,CACR,EAoTC2J,sBA3SF,SAA4D1K,EAAYF,EAAYoB,GAClF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GAMb,OAJAe,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa2H,EAAK3H,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa2H,EAAK3H,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa2H,EAAK3H,EAAE,IAEpDiB,CACR,EAgSCgE,cAtRF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAMZ,OAJAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,IAEjCiB,CACR,EA2QC4J,cAlQF,SAAoD3K,EAAYmI,EAAYjH,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BmK,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP4C,EAAY,EAAP5C,EAAE,GAEPtH,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAENgL,EAAMH,EAAK3G,EAAI4G,EAAKhK,EACpBmK,EAAMH,EAAKjK,EAAI+J,EAAK1G,EACpBgH,EAAMN,EAAK9J,EAAI+J,EAAKhK,EAM1B,OAJAE,EAAO,GAAKF,EAAImK,EAAMD,EAA6B,GAAvBF,EAAKK,EAAMJ,EAAKG,GAC5ClK,EAAO,GAAKD,EAAImK,EAAMF,EAA6B,GAAvBD,EAAKE,EAAMJ,EAAKM,GAC5CnK,EAAO,GAAKmD,EAAIgH,EAAMH,EAA6B,GAAvBH,EAAKK,EAAMJ,EAAKG,GAErCjK,CACR,EA8OCqI,eArOF,SAAqDtJ,EAAYoB,GAC7D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAIhC,OAHAM,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACV,EAgOCsI,QAzNF,SAA8CvJ,EAAYwJ,EAAcpI,GACpE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B8I,EAAa,EAAPD,EAIZ,OAHAvI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACbxI,CACV,EAmNC0I,WA7MF,SAAiD3J,EAAYoB,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B+H,EAAK1I,EAAE,GACP4J,EAAK5J,EAAE,GACPqL,EAAKrL,EAAE,GACP2I,EAAK3I,EAAE,GACP4I,EAAK5I,EAAE,GACPsL,EAAKtL,EAAE,GACP6I,EAAK7I,EAAE,GACP8I,EAAK9I,EAAE,GACP+I,EAAK/I,EAAE,IAIb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAK6G,EAAKA,EAAKkB,EAAKA,EAAKyB,EAAKA,GAC/CpK,EAAO,GAAKpB,KAAKgC,KAAK8G,EAAKA,EAAKC,EAAKA,EAAK0C,EAAKA,GAC/CrK,EAAO,GAAKpB,KAAKgC,KAAKgH,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GACxC9H,CACV,EA+LCsK,QApLF,SAA8ClM,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B6K,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAGhBwL,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAK3L,KAAKgF,IAAIM,GAAOqG,EAAE,GAAK3L,KAAKiF,IAAIK,GAC9CsG,EAAE,GAAKD,EAAE,GAAK3L,KAAKiF,IAAIK,GAAOqG,EAAE,GAAK3L,KAAKgF,IAAIM,GAG9ClE,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GAEdgB,CACR,EAgKCyK,QArJF,SAA8CrM,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B6K,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAGhBwL,EAAE,GAAKD,EAAE,GAAK3L,KAAKiF,IAAIK,GAAOqG,EAAE,GAAK3L,KAAKgF,IAAIM,GAC9CsG,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAK3L,KAAKgF,IAAIM,GAAOqG,EAAE,GAAK3L,KAAKiF,IAAIK,GAG9ClE,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GAEdgB,CACR,EAiIC0K,QAtHF,SAA8CtM,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1B6K,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAChBuL,EAAE,GAAKnM,EAAE,GAAKY,EAAE,GAGhBwL,EAAE,GAAKD,EAAE,GAAK3L,KAAKgF,IAAIM,GAAOqG,EAAE,GAAK3L,KAAKiF,IAAIK,GAC9CsG,EAAE,GAAKD,EAAE,GAAK3L,KAAKiF,IAAIK,GAAOqG,EAAE,GAAK3L,KAAKgF,IAAIM,GAC9CsG,EAAE,GAAKD,EAAE,GAGTvK,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GACrBgB,EAAO,GAAKwK,EAAE,GAAKxL,EAAE,GAEdgB,CACR,EAkGCuB,YACAgD,SA7EF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EAsECyE,SA7DF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EA6DD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC6lBA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAvlDJ,SAA4DD,GAC1D,MAAMiL,EAAOC,EAAoBlL,GAgOnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAC9EiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAEvEiB,CACR,CASD,MAAMwD,EAAQpC,EA0Dd,SAASyD,EAAsC1E,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,CAsED,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAQ9F,EAAM6F,EACdE,EAAQH,EAAMH,EACdO,EAAQnG,EAAMgG,EACdI,EAAQL,EAAMJ,EACdU,EAAQrG,EAAM4F,EACdU,EAAQnG,EAAMwF,EACdY,EAAQ1G,EAAMmG,EACdQ,EAAQT,EAAML,EACde,EAAQ5G,EAAM+F,EACdc,EAAQvG,EAAMuF,EACdiB,EAAQ9G,EAAM8F,EACdiB,EAAQ5G,EAAM0F,EACdmB,EAAQ5G,EAAM6F,EACdgB,EAAQjB,EAAM3F,EACd6G,EAAQjH,EAAMgG,EACdkB,EAAQnB,EAAM9F,EACdkH,EAAQnH,EAAMI,EACdgH,EAAQjH,EAAMF,EACdoH,EAAQxH,EAAMmG,EACdsB,EAAQvB,EAAMjG,EACdyH,EAAQ1H,EAAMO,EACdoH,EAAQrH,EAAML,EACd2H,EAAQ5H,EAAMI,EACdyH,EAAQ1H,EAAMF,EAEd6H,EAAMxB,EAAOlG,EAAMqG,EAAOlG,EAAMmG,EAAOP,GACxCI,EAAOnG,EAAMoG,EAAOjG,EAAMoG,EAAOR,GAChCzB,EAAM6B,EAAOtG,EAAM2G,EAAOrG,EAAMwG,EAAOZ,GACxCG,EAAOrG,EAAM4G,EAAOtG,EAAMuG,EAAOX,GAChCxB,EAAM6B,EAAOvG,EAAM4G,EAAOzG,EAAM4G,EAAQb,GACzCM,EAAOxG,EAAM2G,EAAOxG,EAAM6G,EAAQd,GACjC4B,EAAMpB,EAAO1G,EAAM6G,EAAO1G,EAAM6G,EAAQ1G,GACzCmG,EAAOzG,EAAM8G,EAAO3G,EAAM4G,EAAQzG,GAEjCnG,EAAI,GAAK4F,EAAM8H,EAAK3H,EAAMuE,EAAKpE,EAAMqE,EAAKuB,EAAM6B,GA+BtD,OA7BA7M,EAAQ,GAAKd,EAAI0N,EACjB5M,EAAQ,GAAKd,EAAIsK,EACjBxJ,EAAQ,GAAKd,EAAIuK,EACjBzJ,EAAQ,GAAKd,EAAI2N,EACjB7M,EAAQ,GAAKd,GAAMmM,EAAOpG,EAAMqG,EAAOlG,EAAMqG,EAAOT,GAC3CI,EAAOnG,EAAMsG,EAAOnG,EAAMoG,EAAOR,IAC1ChL,EAAQ,GAAKd,GAAMkM,EAAOtG,EAAM6G,EAAOvG,EAAMwG,EAAOZ,GAC3CK,EAAOvG,EAAM4G,EAAOtG,EAAMyG,EAAOb,IAC1ChL,EAAQ,GAAKd,GAAMqM,EAAOzG,EAAM4G,EAAOzG,EAAM8G,EAAQf,GAC5CM,EAAOxG,EAAM6G,EAAO1G,EAAM6G,EAAQd,IAC3ChL,EAAQ,GAAKd,GAAMsM,EAAO1G,EAAM+G,EAAO5G,EAAM6G,EAAQ1G,GAC5CqG,EAAO3G,EAAM8G,EAAO3G,EAAM8G,EAAQ3G,IAC3CpF,EAAQ,GAAKd,GAAM8M,EAAQlB,EAAMqB,EAAQpB,EAAMqB,EAAQjB,GAC9Cc,EAAQnB,EAAMoB,EAAQnB,EAAMsB,EAAQlB,IAC7CnL,EAAQ,GAAKd,GAAM+M,EAAQpB,EAAMyB,EAAQvB,EAAM0B,EAAQtB,GAC9Ca,EAAQnB,EAAM0B,EAAQxB,EAAMyB,EAAQrB,IAC7CnL,EAAO,IAAMd,GAAMgN,EAAQrB,EAAM0B,EAAQzB,EAAM4B,EAAQvB,GAC9CgB,EAAQtB,EAAMyB,EAAQxB,EAAM6B,EAAQxB,IAC7CnL,EAAO,IAAMd,GAAMmN,EAAQxB,EAAM2B,EAAQ1B,EAAM6B,EAAQ5B,GAC9CqB,EAAQvB,EAAM4B,EAAQ3B,EAAM4B,EAAQ3B,IAC7C/K,EAAO,IAAMd,GAAMgN,EAAQ5G,EAAM+G,EAAQnB,EAAMe,EAAQ9G,GAC9CiH,EAAQlB,EAAMc,EAAQ7G,EAAMgH,EAAQ7G,IAC7CtF,EAAO,IAAMd,GAAMsN,EAAQtB,EAAMc,EAAQhH,EAAMuH,EAAQjH,GAC9CgH,EAAQhH,EAAMmH,EAAQvB,EAAMe,EAAQjH,IAC7ChF,EAAO,IAAMd,GAAMoN,EAAQnH,EAAMwH,EAAQzB,EAAMiB,EAAQnH,GAC9C0H,EAAQxB,EAAMgB,EAAQlH,EAAMuH,EAAQpH,IAC7CnF,EAAO,IAAMd,GAAMwN,EAAQpH,EAAM8G,EAAQpH,EAAMyH,EAAQtH,GAC9CqH,EAAQrH,EAAMwH,EAAQrH,EAAM+G,EAAQrH,IAEtChF,CACR,CAwDD,MAAMiD,EAAS1C,EASf,SAASc,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BiG,EAAMvH,EAAE,GACRwH,EAAMxH,EAAE,GACRyH,EAAMzH,EAAE,GACR0O,EAAM1O,EAAE,GACR0H,EAAM1H,EAAG,GACT2H,EAAM3H,EAAG,GACT4H,EAAM5H,EAAG,GACT2O,EAAM3O,EAAG,GACT6H,EAAM7H,EAAG,GACT8H,EAAM9H,EAAG,GACT+H,EAAM/H,EAAG,IACT4O,EAAM5O,EAAG,IACT6O,EAAM7O,EAAE,IACR8O,EAAM9O,EAAE,IACR+O,EAAM/O,EAAE,IACRgP,EAAMhP,EAAE,IACRgI,EAAMpH,EAAE,GACRuG,EAAMvG,EAAE,GACRqH,EAAMrH,EAAE,GACRqO,EAAMrO,EAAE,GACRsH,EAAMtH,EAAG,GACTwG,EAAMxG,EAAG,GACTuH,EAAMvH,EAAG,GACTsO,EAAMtO,EAAG,GACTwH,EAAMxH,EAAG,GACTyG,EAAMzG,EAAG,GACTyH,EAAMzH,EAAG,IACTuO,EAAMvO,EAAG,IACTwO,EAAMxO,EAAE,IACRyO,EAAMzO,EAAE,IACR0O,EAAM1O,EAAE,IACR2O,EAAM3O,EAAE,IAmBd,OAjBAgB,EAAQ,GAAK2F,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAAM4G,EAAMI,EACvDrN,EAAQ,GAAK4F,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAAM6G,EAAMG,EACvDrN,EAAQ,GAAK6F,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAAM8G,EAAME,EACvDrN,EAAQ,GAAK8M,EAAM1G,EAAM2G,EAAMxH,EAAMyH,EAAM3G,EAAM+G,EAAMC,EACvDrN,EAAQ,GAAK2F,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAAM0G,EAAMK,EACvDtN,EAAQ,GAAK4F,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAAM2G,EAAMI,EACvDtN,EAAQ,GAAK6F,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAAM4G,EAAMG,EACvDtN,EAAQ,GAAK8M,EAAMxG,EAAMyG,EAAMvH,EAAMwH,EAAMzG,EAAM6G,EAAME,EACvDtN,EAAQ,GAAK2F,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAAMwG,EAAMM,EACvDvN,EAAQ,GAAK4F,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAAMyG,EAAMK,EACvDvN,EAAO,IAAM6F,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAAM0G,EAAMI,EACvDvN,EAAO,IAAM8M,EAAMtG,EAAMuG,EAAMtH,EAAMuH,EAAMvG,EAAM2G,EAAMG,EACvDvN,EAAO,IAAM2F,EAAM6H,EAAM1H,EAAM2H,EAAMxH,EAAMyH,EAAMT,EAAMU,EACvD3N,EAAO,IAAM4F,EAAM4H,EAAMzH,EAAM0H,EAAMvH,EAAMwH,EAAMR,EAAMS,EACvD3N,EAAO,IAAM6F,EAAM2H,EAAMxH,EAAMyH,EAAMtH,EAAMuH,EAAMP,EAAMQ,EACvD3N,EAAO,IAAM8M,EAAMU,EAAMT,EAAMU,EAAMT,EAAMU,EAAMN,EAAMO,EAEhD3N,CACR,CASD,MAAMyD,EAAMpC,EAsWNuM,EAAQjD,EAAK9K,SACbgO,EAAQlD,EAAK9K,SACbiO,EAAQnD,EAAK9K,SAgXnB,SAASkO,EAA0CxF,EAAeQ,EAAwB5I,GACxF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIyI,EAAK,GACTxI,EAAIwI,EAAK,GACTpF,EAAIoF,EAAK,GACb,MAAMzJ,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAM2I,EAAK3H,EAAIA,EACT6H,EAAK5H,EAAIA,EACT+H,EAAK3E,EAAIA,EACT6F,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GACbiF,EAAiB,EAAIhF,EAmB3B,OAjBAhJ,EAAQ,GAAKyH,GAAM,EAAIA,GAAMuB,EAC7BhJ,EAAQ,GAAKF,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EAC1CjJ,EAAQ,GAAKF,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EAC1CjJ,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EAC1CjJ,EAAQ,GAAK2H,GAAM,EAAIA,GAAMqB,EAC7BhJ,EAAQ,GAAKD,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EAC1CjJ,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EAC1CjJ,EAAQ,GAAKD,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EAC1CjJ,EAAO,IAAM8H,GAAM,EAAIA,GAAMkB,EAC7BhJ,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAENA,CACR,CAwBD,SAASiO,EAAwClP,EAAYwJ,EAAeQ,EAAwB5I,GAClG,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIyI,EAAK,GACTxI,EAAIwI,EAAK,GACTpF,EAAIoF,EAAK,GACb,MAAMzJ,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAM2I,EAAK3H,EAAIA,EACT6H,EAAK5H,EAAIA,EACT+H,EAAK3E,EAAIA,EACT6F,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GACbiF,EAAiB,EAAIhF,EAErBkF,EAAMzG,GAAM,EAAIA,GAAMuB,EACtBmF,EAAMrO,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EACnCmF,EAAMtO,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EACnCoF,EAAMvO,EAAIC,EAAIiO,EAAiB7K,EAAI8F,EACnCqF,EAAM3G,GAAM,EAAIA,GAAMqB,EACtBuF,EAAMxO,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EACnCuF,EAAM1O,EAAIqD,EAAI6K,EAAiBjO,EAAIkJ,EACnCwF,EAAM1O,EAAIoD,EAAI6K,EAAiBlO,EAAImJ,EACnCyF,EAAM5G,GAAM,EAAIA,GAAMkB,EAEtBlE,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IAsBd,OApBAiB,EAAQ,GAAKkO,EAAMpJ,EAAMqJ,EAAMlJ,EAAMmJ,EAAMhJ,EAC3CpF,EAAQ,GAAKkO,EAAMnJ,EAAMoJ,EAAMjJ,EAAMkJ,EAAM/I,EAC3CrF,EAAQ,GAAKkO,EAAMlJ,EAAMmJ,EAAMhJ,EAAMiJ,EAAM9I,EAC3CtF,EAAQ,GAAKkO,EAAMrD,EAAMsD,EAAMrD,EAAMsD,EAAMrD,EAC3C/K,EAAQ,GAAKqO,EAAMvJ,EAAMwJ,EAAMrJ,EAAMsJ,EAAMnJ,EAC3CpF,EAAQ,GAAKqO,EAAMtJ,EAAMuJ,EAAMpJ,EAAMqJ,EAAMlJ,EAC3CrF,EAAQ,GAAKqO,EAAMrJ,EAAMsJ,EAAMnJ,EAAMoJ,EAAMjJ,EAC3CtF,EAAQ,GAAKqO,EAAMxD,EAAMyD,EAAMxD,EAAMyD,EAAMxD,EAC3C/K,EAAQ,GAAKwO,EAAM1J,EAAM2J,EAAMxJ,EAAMyJ,EAAMtJ,EAC3CpF,EAAQ,GAAKwO,EAAMzJ,EAAM0J,EAAMvJ,EAAMwJ,EAAMrJ,EAC3CrF,EAAO,IAAMwO,EAAMxJ,EAAMyJ,EAAMtJ,EAAMuJ,EAAMpJ,EAC3CtF,EAAO,IAAMwO,EAAM3D,EAAM4D,EAAM3D,EAAM4D,EAAM3D,EAEvChM,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,CA4HD,MAAO,CACLH,OAp+CF,SACIa,EAAaC,EAAa+F,EAAaC,EACvCC,EAAaC,EAAaC,EAAaC,EACvCC,EAAa2H,EAAaC,EAAcC,EACxCC,EAAcC,EAAcC,EAAcC,GAC5C,MAAMjP,EAAS,IAAIN,EAAK,IAiDxB,YAhDWO,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAPyG,IACF1G,EAAO,GAAK0G,OACDzG,IAAP0G,IACF3G,EAAO,GAAK2G,OACD1G,IAAP2G,IACF5G,EAAO,GAAK4G,OACD3G,IAAP4G,IACF7G,EAAO,GAAK6G,OACD5G,IAAP6G,IACF9G,EAAO,GAAK8G,OACD7G,IAAP8G,IACF/G,EAAO,GAAK+G,OACD9G,IAAP+G,IACFhH,EAAO,GAAKgH,OACD/G,IAAP0O,IACF3O,EAAO,GAAK2O,OACA1O,IAAR2O,IACF5O,EAAO,IAAM4O,OACD3O,IAAR4O,IACF7O,EAAO,IAAM6O,OACD5O,IAAR6O,IACF9O,EAAO,IAAM8O,OACD7O,IAAR8O,IACF/O,EAAO,IAAM+O,OACD9O,IAAR+O,IACFhP,EAAO,IAAMgP,OACD/O,IAARgP,IACFjP,EAAO,IAAMiP,kBAiBtCjP,CACR,EA86CCyB,IAr5CF,SACIf,EAAYC,EAAY+F,EAAYC,EACpCC,EAAYC,EAAYC,EAAYC,EACpCC,EAAY2H,EAAYC,EAAaC,EACrCC,EAAaC,EAAaC,EAAaC,EACvC9O,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKU,EAAMV,EAAQ,GAAKW,EAAMX,EAAQ,GAAK0G,EAAM1G,EAAQ,GAAK2G,EACtE3G,EAAQ,GAAK4G,EAAM5G,EAAQ,GAAK6G,EAAM7G,EAAQ,GAAK8G,EAAM9G,EAAQ,GAAK+G,EACtE/G,EAAQ,GAAKgH,EAAMhH,EAAQ,GAAK2O,EAAM3O,EAAO,IAAM4O,EAAM5O,EAAO,IAAM6O,EACtE7O,EAAO,IAAM8O,EAAM9O,EAAO,IAAM+O,EAAM/O,EAAO,IAAMgP,EAAMhP,EAAO,IAAMiP,EAE/DjP,CACR,EAw4CCkP,SAh4CF,SAA+CC,EAAahP,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAI,GAAKnP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAI,GAAKnP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKmP,EAAG,GAAKnP,EAAQ,GAAKmP,EAAG,GAAKnP,EAAO,IAAMmP,EAAG,IAAMnP,EAAO,IAAM,EAC7EA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAASA,EAAO,IAAM,EAEtEA,CACR,EAw3CCmH,SAh3CF,SAA+CC,EAAYjH,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIsH,EAAE,GAAUrH,EAAIqH,EAAE,GAAUjE,EAAIiE,EAAE,GAAUC,EAAID,EAAE,GACtDE,EAAKxH,EAAIA,EAASyH,EAAKxH,EAAIA,EAASyH,EAAKrE,EAAIA,EAE7CsE,EAAK3H,EAAIwH,EACTI,EAAK3H,EAAIuH,EACTK,EAAK5H,EAAIwH,EACTK,EAAKzE,EAAImE,EACTO,EAAK1E,EAAIoE,EACTO,EAAK3E,EAAIqE,EACTO,EAAKV,EAAIC,EACTU,EAAKX,EAAIE,EACTU,EAAKZ,EAAIG,EAOf,OALAxH,EAAQ,GAAK,EAAI2H,EAAKG,EAAK9H,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK,EAC9FA,EAAQ,GAAK0H,EAAKO,EAASjI,EAAQ,GAAK,EAAIyH,EAAKK,EAAK9H,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAQ,GAAK,EAC9FA,EAAQ,GAAK4H,EAAKI,EAAShI,EAAQ,GAAK6H,EAAKE,EAAS/H,EAAO,IAAM,EAAIyH,EAAKE,EAAK3H,EAAO,IAAM,EAC9FA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAEvFA,CACR,EA21CCuD,OAn1CF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAClFiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAE3EiB,CACR,EA20CCoB,OACAoC,QACAZ,oBA1yCF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EA0xCCC,OAlxCF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,GACpB,EAkwCC6F,WACAqD,UA1uCF,SAAgDnJ,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAyBJ,OAvBAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,IACNA,EAAE,IAAMA,EAAE,IACVA,EAAE,IAAMK,EACDY,CACR,CAED,MAAM8E,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IAOd,OALAiB,EAAQ,GAAK8E,EAAM9E,EAAQ,GAAKiF,EAAMjF,EAAQ,GAAKoF,EAAMpF,EAAQ,GAAKgL,EACtEhL,EAAQ,GAAK+E,EAAM/E,EAAQ,GAAKkF,EAAMlF,EAAQ,GAAKqF,EAAMrF,EAAQ,GAAKiL,EACtEjL,EAAQ,GAAKgF,EAAMhF,EAAQ,GAAKmF,EAAMnF,EAAO,IAAMsF,EAAMtF,EAAO,IAAMkL,EACtElL,EAAO,IAAM6K,EAAM7K,EAAO,IAAM8K,EAAM9K,EAAO,IAAM+K,EAAM/K,EAAO,IAAMmL,EAE/DnL,CACR,EAqrCCO,UACA4H,YAllCF,SAAqBpJ,GACnB,MAAM+F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IAERqM,EAAQ9F,EAAM6F,EACdE,EAAQH,EAAMH,EACdO,EAAQnG,EAAMgG,EACdI,EAAQL,EAAMJ,EACdU,EAAQrG,EAAM4F,EACdU,EAAQnG,EAAMwF,EACdY,EAAQ1G,EAAMmG,EACdQ,EAAQT,EAAML,EACde,EAAQ5G,EAAM+F,EACdc,EAAQvG,EAAMuF,EACdiB,EAAQ9G,EAAM8F,EACdiB,EAAQ5G,EAAM0F,EAWpB,OAAO/F,GATKsG,EAAOlG,EAAMqG,EAAOlG,EAAMmG,EAAOP,GACjCI,EAAOnG,EAAMoG,EAAOjG,EAAMoG,EAAOR,IAQ3BhG,GAPNoG,EAAOtG,EAAM2G,EAAOrG,EAAMwG,EAAOZ,GACjCG,EAAOrG,EAAM4G,EAAOtG,EAAMuG,EAAOX,IAMhB7F,GALjBkG,EAAOvG,EAAM4G,EAAOzG,EAAM4G,EAAQb,GAClCM,EAAOxG,EAAM2G,EAAOxG,EAAM6G,EAAQd,IAIND,GAH5BS,EAAO1G,EAAM6G,EAAO1G,EAAM6G,EAAQ1G,GAClCmG,EAAOzG,EAAM8G,EAAO3G,EAAM4G,EAAQzG,GAG/C,EA0iCCpC,SACA5B,WACAoC,MACA2E,eAn9BF,SAAqDhK,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAO0E,IAmBvB,OAlBIzG,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAO,IAAM5B,EAAE,IACf4B,EAAO,IAAM5B,EAAE,KAEjB4B,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EA+7BCqI,eAt7BF,SAAqDtJ,EAAYoB,GAC/D,MAAMH,EAAUG,GAAOwK,EAAK9K,SAI5B,OAHAG,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACR,EAi7BCsI,QAz6BF,SAA8CvJ,EAAYwJ,EAAcpI,GACtE,MAAMH,EAAUG,GAAOwK,EAAK9K,SACtB2I,EAAa,EAAPD,EAIZ,OAHAvI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACpBxI,EAAO,GAAKjB,EAAEyJ,EAAM,GACbxI,CACR,EAm6BCyI,QAz5BF,SAA8C1J,EAAYE,EAAYsJ,EAAcpI,GAClF,MAAMH,EAAUG,IAAQpB,EAAKoB,EAAMiB,EAAKrC,EAAGoB,GAErCqI,EAAa,EAAPD,EAIZ,OAHAvI,EAAOwI,EAAM,GAAKvJ,EAAE,GACpBe,EAAOwI,EAAM,GAAKvJ,EAAE,GACpBe,EAAOwI,EAAM,GAAKvJ,EAAE,GACbe,CACR,EAk5BC0I,WA34BF,SAAiD3J,EAAYoB,GAC3D,MAAMH,EAAUG,GAAOwK,EAAK9K,SAEtB4H,EAAK1I,EAAE,GACP4J,EAAK5J,EAAE,GACPqL,EAAKrL,EAAE,GACP2I,EAAK3I,EAAE,GACP4I,EAAK5I,EAAE,GACPsL,EAAKtL,EAAE,GACP6I,EAAK7I,EAAE,GACP8I,EAAK9I,EAAE,GACP+I,EAAK/I,EAAE,IAMb,OAJAiB,EAAO,GAAKpB,KAAKgC,KAAK6G,EAAKA,EAAKkB,EAAKA,EAAKyB,EAAKA,GAC/CpK,EAAO,GAAKpB,KAAKgC,KAAK8G,EAAKA,EAAKC,EAAKA,EAAK0C,EAAKA,GAC/CrK,EAAO,GAAKpB,KAAKgC,KAAKgH,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAExC9H,CACR,EA03BCoP,YA/1BF,SAAkDC,EAA+BC,EAAgBC,EAAeC,EAAcrP,GAC5H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+P,EAAI7Q,KAAK8Q,IAAc,GAAV9Q,KAAKC,GAAW,GAAMwQ,GAoBzC,GAlBArP,EAAO,GAAMyP,EAAIH,EACjBtP,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAMyP,EACbzP,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAET2P,OAAOC,SAASJ,GAAO,CACzB,MAAMK,EAAW,GAAKN,EAAQC,GAC9BxP,EAAO,IAAMwP,EAAOK,EACpB7P,EAAO,IAAMwP,EAAOD,EAAQM,CAC7B,MACC7P,EAAO,KAAO,EACdA,EAAO,KAAOuP,EAGhB,OAAOvP,CACR,EA+zBC8P,oBAzyBC,SAA0DT,EAA+BC,EAAgBC,EAAeC,EAAOO,IAAU5P,GAC1I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+P,EAAI,EAAI7Q,KAAK8Q,IAA4B,GAAxBL,GAoBvB,GAlBArP,EAAQ,GAAKyP,EAAIH,EACjBtP,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAKyP,EACbzP,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETwP,IAASO,IACX/P,EAAO,IAAM,EACbA,EAAO,IAAMuP,MACR,CACL,MAAMM,EAAW,GAAKL,EAAOD,GAC7BvP,EAAO,IAAMuP,EAAQM,EACrB7P,EAAO,IAAMwP,EAAOD,EAAQM,CAC7B,CAED,OAAO7P,CACR,EAywBCgQ,MAxvBF,SAA4CC,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAanQ,GAC/H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAO,GAAM,GAAKkQ,EAAQD,GAC1BjQ,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,GAAKoQ,EAAMD,GACxBnQ,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,IAAM,GAAKqQ,EAAOC,GACzBtQ,EAAO,IAAM,EAEbA,EAAO,KAAOkQ,EAAQD,IAASA,EAAOC,GACtClQ,EAAO,KAAOoQ,EAAMD,IAAWA,EAASC,GACxCpQ,EAAO,IAAMqQ,GAAQA,EAAOC,GAC5BtQ,EAAO,IAAM,EAENA,CACR,EAiuBCuQ,QA7sBF,SAA8CN,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAanQ,GACjI,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMmP,EAAQD,EACdjP,EAAMoP,EAAMD,EACZ9G,EAAMgH,EAAOC,EAmBnB,OAjBAtQ,EAAQ,GAAK,EAAIqQ,EAAOtP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIqQ,EAAOrP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMiQ,EAAOC,GAASnP,EAC9Bf,EAAQ,IAAMoQ,EAAMD,GAAUnP,EAC9BhB,EAAO,IAAMsQ,EAAMjH,EACnBrJ,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAMqQ,EAAOC,EAAMjH,EAC1BrJ,EAAO,IAAM,EAENA,CACR,EAqrBCwQ,gBAjqBF,SAAsDP,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAMP,IAAU5P,GAC5I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMmP,EAAQD,EACdjP,EAAMoP,EAAMD,EAiBlB,GAfAnQ,EAAQ,GAAK,EAAIqQ,EAAOtP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIqQ,EAAOrP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMiQ,EAAOC,GAASnP,EAC9Bf,EAAQ,IAAMoQ,EAAMD,GAAUnP,EAC9BhB,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETsQ,IAAQP,IACV/P,EAAO,IAAM,EACbA,EAAO,IAAMqQ,MACR,CACL,MAAMR,EAAW,GAAKS,EAAMD,GAC5BrQ,EAAO,IAAMqQ,EAAOR,EACpB7P,EAAO,IAAMsQ,EAAMD,EAAOR,CAC3B,CAED,OAAO7P,CACR,EAmoBCyQ,IA/mBF,SAA0CC,EAAmBC,EAAiBC,EAAazQ,GACzF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAiL,EAAKzJ,UAAUyJ,EAAKzK,SAASyQ,EAAQD,EAAU5C,GAAQA,GACvDnD,EAAKzJ,UAAUyJ,EAAKzH,MAAM0N,EAAI9C,EAAOF,GAAQA,GAC7CjD,EAAKzJ,UAAUyJ,EAAKzH,MAAM4K,EAAOF,EAAOC,GAAQA,GAEhD7N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAO,IAAM8N,EAAM,GAAQ9N,EAAO,IAAM,EAC9FA,EAAO,IAAM0Q,EAAS,GAAK1Q,EAAO,IAAM0Q,EAAS,GAAK1Q,EAAO,IAAM0Q,EAAS,GAAK1Q,EAAO,IAAM,EAEvFA,CACR,EAmmBC6Q,UAnlBF,SAAgDC,EAAcH,EAAiBC,EAAazQ,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAiL,EAAKzJ,UAAUyJ,EAAKzK,SAAS4Q,EAAKH,EAAQ7C,GAAQA,GAClDnD,EAAKzJ,UAAUyJ,EAAKzH,MAAM0N,EAAI9C,EAAOF,GAAQA,GAC7CjD,EAAKzJ,UAAUyJ,EAAKzH,MAAM4K,EAAOF,EAAOC,GAAQA,GAEhD7N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK4N,EAAM,GAAQ5N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAO,IAAM8N,EAAM,GAAQ9N,EAAO,IAAM,EAC9FA,EAAO,IAAM8Q,EAAI,GAAK9Q,EAAO,IAAM8Q,EAAI,GAAK9Q,EAAO,IAAM8Q,EAAI,GAAK9Q,EAAO,IAAM,EAExEA,CACR,EAukBC+Q,OAzjBF,SAA6CD,EAAcH,EAAiBC,EAAazQ,GACvF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAehC,OAbAiL,EAAKzJ,UAAUyJ,EAAKzK,SAAS4Q,EAAKH,EAAQ7C,GAAQA,GAClDnD,EAAKzJ,UAAUyJ,EAAKzH,MAAM0N,EAAI9C,EAAOF,GAAQA,GAC7CjD,EAAKzJ,UAAUyJ,EAAKzH,MAAM4K,EAAOF,EAAOC,GAAQA,GAEhD7N,EAAQ,GAAK4N,EAAM,GAAK5N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK,EACrFA,EAAQ,GAAK4N,EAAM,GAAK5N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK,EACrFA,EAAQ,GAAK4N,EAAM,GAAK5N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAO,IAAM8N,EAAM,GAAK9N,EAAO,IAAM,EAErFA,EAAO,MAAQ4N,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,IACtE9Q,EAAO,MAAQ6N,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,IACtE9Q,EAAO,MAAQ8N,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,IACtE9Q,EAAO,IAAM,EAENA,CACR,EAyiBC4I,YAhiBF,SAAkD3J,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EACzEA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EAElEA,CACR,EAwhBC6I,UA9gBF,SAAgD9J,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP6F,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IAsBd,OApBIA,IAAMiB,IACRA,EAAQ,GAAK8E,EACb9E,EAAQ,GAAK+E,EACb/E,EAAQ,GAAKgF,EACbhF,EAAQ,GAAK6K,EACb7K,EAAQ,GAAKiF,EACbjF,EAAQ,GAAKkF,EACblF,EAAQ,GAAKmF,EACbnF,EAAQ,GAAK8K,EACb9K,EAAQ,GAAKoF,EACbpF,EAAQ,GAAKqF,EACbrF,EAAO,IAAMsF,EACbtF,EAAO,IAAM+K,GAGf/K,EAAO,IAAM8E,EAAMpE,EAAKuE,EAAMtE,EAAKyE,EAAMsB,EAAKsE,EAC9ChL,EAAO,IAAM+E,EAAMrE,EAAKwE,EAAMvE,EAAK0E,EAAMqB,EAAKuE,EAC9CjL,EAAO,IAAMgF,EAAMtE,EAAKyE,EAAMxE,EAAK2E,EAAMoB,EAAKwE,EAC9ClL,EAAO,IAAM6K,EAAMnK,EAAKoK,EAAMnK,EAAKoK,EAAMrE,EAAKyE,EAEvCnL,CACR,EAmeCgR,UA3dF,SAAgDjI,EAAwB5I,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAOnB,OALA/I,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAMgJ,EAAIhJ,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,IAAMiJ,EAAIjJ,EAAO,IAAMgJ,EAAIhJ,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAgdCsK,QAtcF,SAA8CvL,EAAYgK,EAAwB5I,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BuF,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAsBnB,OApBA/I,EAAO,GAAMgJ,EAAI/D,EAAMgE,EAAI7D,EAC3BpF,EAAO,GAAMgJ,EAAI9D,EAAM+D,EAAI5D,EAC3BrF,EAAO,GAAMgJ,EAAI7D,EAAM8D,EAAI3D,EAC3BtF,EAAO,GAAMgJ,EAAI8B,EAAM7B,EAAI8B,EAC3B/K,EAAO,GAAMgJ,EAAI5D,EAAM6D,EAAIhE,EAC3BjF,EAAO,GAAMgJ,EAAI3D,EAAM4D,EAAI/D,EAC3BlF,EAAO,IAAMgJ,EAAI1D,EAAM2D,EAAI9D,EAC3BnF,EAAO,IAAMgJ,EAAI+B,EAAM9B,EAAI6B,EAEvB/L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAoaCiR,UA5ZF,SAAgDlI,EAAwB5I,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAOnB,OALA/I,EAAQ,GAAKgJ,EAAIhJ,EAAQ,GAAK,EAAIA,EAAQ,IAAMiJ,EAAIjJ,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAO,IAAOgJ,EAAIhJ,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAiZCyK,QAvYF,SAA8C1L,EAAYgK,EAAwB5I,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRqG,EAAMrG,EAAE,GACRsG,EAAMtG,EAAE,GACRuG,EAAMvG,EAAE,IACRgM,EAAMhM,EAAE,IACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAsBnB,OApBA/I,EAAQ,GAAKgJ,EAAIlE,EAAMmE,EAAI7D,EAC3BpF,EAAQ,GAAKgJ,EAAIjE,EAAMkE,EAAI5D,EAC3BrF,EAAQ,GAAKgJ,EAAIhE,EAAMiE,EAAI3D,EAC3BtF,EAAQ,GAAKgJ,EAAI6B,EAAM5B,EAAI8B,EAC3B/K,EAAQ,GAAKgJ,EAAI5D,EAAM6D,EAAInE,EAC3B9E,EAAQ,GAAKgJ,EAAI3D,EAAM4D,EAAIlE,EAC3B/E,EAAO,IAAMgJ,EAAI1D,EAAM2D,EAAIjE,EAC3BhF,EAAO,IAAMgJ,EAAI+B,EAAM9B,EAAI4B,EAEvB9L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAqWCkR,UA7VF,SAAgDnI,EAAwB5I,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BsJ,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAOnB,OALA/I,EAAQ,GAAMgJ,EAAIhJ,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,IAAMiJ,EAAIjJ,EAAQ,GAAKgJ,EAAIhJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EACjEA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAkVC0K,QAxUF,SAA8C3L,EAAYgK,EAAwB5I,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BoF,EAAM/F,EAAE,GACRgG,EAAMhG,EAAE,GACRiG,EAAMjG,EAAE,GACR8L,EAAM9L,EAAE,GACRkG,EAAMlG,EAAE,GACRmG,EAAMnG,EAAE,GACRoG,EAAMpG,EAAE,GACR+L,EAAM/L,EAAE,GACRiK,EAAIpK,KAAKgF,IAAImF,GACbE,EAAIrK,KAAKiF,IAAIkF,GAsBnB,OApBA/I,EAAQ,GAAKgJ,EAAIlE,EAAMmE,EAAIhE,EAC3BjF,EAAQ,GAAKgJ,EAAIjE,EAAMkE,EAAI/D,EAC3BlF,EAAQ,GAAKgJ,EAAIhE,EAAMiE,EAAI9D,EAC3BnF,EAAQ,GAAKgJ,EAAI6B,EAAM5B,EAAI6B,EAC3B9K,EAAQ,GAAKgJ,EAAI/D,EAAMgE,EAAInE,EAC3B9E,EAAQ,GAAKgJ,EAAI9D,EAAM+D,EAAIlE,EAC3B/E,EAAQ,GAAKgJ,EAAI7D,EAAM8D,EAAIjE,EAC3BhF,EAAQ,GAAKgJ,EAAI8B,EAAM7B,EAAI4B,EAEvB9L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAsSC+N,eACAjF,SA5OeiF,EA6OfE,aACAhK,OAzJagK,EA0Jb/E,QA/IF,SAA8CjK,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EACzEA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAElEA,CACR,EAuICkC,MA3HF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GAsBb,OApBAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAK0G,EAAK3H,EAAE,GACpBiB,EAAQ,GAAK0G,EAAK3H,EAAE,GACpBiB,EAAO,IAAM0G,EAAK3H,EAAE,IACpBiB,EAAO,IAAM0G,EAAK3H,EAAE,IAEhBA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAgGCmJ,eAxFF,SAAqDF,EAAW9I,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAKiJ,EAAIjJ,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAMiJ,EAAIjJ,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,EAgFCoJ,aAvEF,SAAmDrK,EAAYkK,EAAW9I,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAQ,GAAKiJ,EAAIlK,EAAE,GACnBiB,EAAO,IAAMiJ,EAAIlK,EAAE,IACnBiB,EAAO,IAAMiJ,EAAIlK,EAAE,IAEfA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAkDD,CAUU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC9uBA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAj3BJ,SAA6DD,GAC3D,MAAMiL,EAAOC,EAAqBlL,GAUpC,SAASG,EAAOC,EAAYC,EAAYoD,EAAYkE,GAClD,MAAMrH,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANoH,IACFrH,EAAO,GAAKqH,MAKbrH,CACR,CAUD,MAAMwB,EAAa3B,EAiCnB,SAASsR,EAA4C5I,EAAeQ,EAAwB5I,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EACZE,EAAIrK,KAAKiF,IAAIuN,GAOnB,OALApR,EAAO,GAAKiJ,EAAIV,EAAK,GACrBvI,EAAO,GAAKiJ,EAAIV,EAAK,GACrBvI,EAAO,GAAKiJ,EAAIV,EAAK,GACrBvI,EAAO,GAAKpB,KAAKgF,IAAIwN,GAEdpR,CACR,CA6CD,SAASqB,EAAuCjD,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkL,EAAKlL,EAAE,GACPiT,EAAKjT,EAAE,GAEPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACPuK,EAAKvK,EAAE,GACPsS,EAAKtS,EAAE,GAOb,OALAgB,EAAO,GAAKoC,EAAKkP,EAAKD,EAAK/O,EAAKD,EAAKkH,EAAKD,EAAK/G,EAC/CvC,EAAO,GAAKqC,EAAKiP,EAAKD,EAAK9O,EAAK+G,EAAKhH,EAAKF,EAAKmH,EAC/CvJ,EAAO,GAAKsJ,EAAKgI,EAAKD,EAAK9H,EAAKnH,EAAKG,EAAKF,EAAKC,EAC/CtC,EAAO,GAAKqR,EAAKC,EAAKlP,EAAKE,EAAKD,EAAKE,EAAK+G,EAAKC,EAExCvJ,CACR,CAUD,MAAMyD,EAAMpC,EA+FZ,SAASkQ,EAAoCnT,EAAYY,EAAYI,EAAWe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkL,EAAKlL,EAAE,GACPiT,EAAKjT,EAAE,GAEb,IAeIoT,EACAC,EAhBAnP,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACPuK,EAAKvK,EAAE,GACPsS,EAAKtS,EAAE,GAEP0S,EAAWtP,EAAKE,EAAKD,EAAKE,EAAK+G,EAAKC,EAAK8H,EAAKC,EAalD,GAXII,EAAW,IACbA,GAAYA,EACZpP,GAAMA,EACNC,GAAMA,EACNgH,GAAMA,EACN+H,GAAMA,GAMJ,EAAMI,EAAW7O,EAAe,CAClC,MAAM8O,EAAQ/S,KAAK8D,KAAKgP,GAClBE,EAAWhT,KAAKiF,IAAI8N,GAC1BH,EAAS5S,KAAKiF,KAAK,EAAIzE,GAAKuS,GAASC,EACrCH,EAAS7S,KAAKiF,IAAIzE,EAAIuS,GAASC,CAChC,MACCJ,EAAS,EAAMpS,EACfqS,EAASrS,EAQX,OALAY,EAAO,GAAKwR,EAASpP,EAAKqP,EAASnP,EACnCtC,EAAO,GAAKwR,EAASnP,EAAKoP,EAASlP,EACnCvC,EAAO,GAAKwR,EAASlI,EAAKmI,EAASlI,EACnCvJ,EAAO,GAAKwR,EAASH,EAAKI,EAASH,EAE5BtR,CACR,CAmMD,SAASoB,EAAmCgG,EAAYjH,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKoH,EAAE,GACdpH,EAAO,GAAKoH,EAAE,GACdpH,EAAO,GAAKoH,EAAE,GACdpH,EAAO,GAAKoH,EAAE,GAEPpH,CACR,CASD,MAAMwD,EAAQpC,EA2Bd,SAASlB,EAAuC9B,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CASD,MAAM2C,EAAMzC,EASZ,SAASG,EAAwCpB,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CASD,MAAMkC,EAAQ7B,EA0Bd,SAASG,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,CA4BD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,EACrD,CAOD,MAAMxF,EAAMV,EAOZ,SAASI,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,CAC3C,CAOD,MAAMvD,EAAQvC,EAQd,SAASK,EAAwCjC,EAAYkB,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,GAczD,OAZIxF,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK0G,EAAKvF,EACjBnB,EAAO,GAAK2G,EAAKxF,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAyCD,MAAM6R,EAAWlH,EAAK9K,SAChBiS,EAAYnH,EAAK9K,SACjBkS,EAAYpH,EAAK9K,SA2CjBmS,EAAY,IAAItS,EAAK,GACrBuS,EAAY,IAAIvS,EAAK,GA4B3B,MAAO,CACLG,SACA2B,aACAC,IA7vBF,SAA2C3B,EAAWC,EAAWoD,EAAWkE,EAAWlH,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKqH,EAELrH,CACR,EAqvBCmR,gBACAe,YAvtBF,SAAmD9K,EAAYjH,GAC7D,MAAMH,EAAUG,GAAOwK,EAAK9K,OAAO,GAE7BsC,EAA0B,EAAlBvD,KAAK8D,KAAK0E,EAAE,IACpB6B,EAAIrK,KAAKiF,IAAY,GAAR1B,GAWnB,OAVI8G,EAAIpG,GACN7C,EAAO,GAAKoH,EAAE,GAAK6B,EACnBjJ,EAAO,GAAKoH,EAAE,GAAK6B,EACnBjJ,EAAO,GAAKoH,EAAE,GAAK6B,IAEnBjJ,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGP,CAAEmC,QAAOoG,KAAMvI,EACvB,EAwsBCmC,MAhsBF,SAAe/D,EAAYY,GACzB,MAAME,EAAIsB,EAAIpC,EAAGY,GACjB,OAAOJ,KAAK8D,KAAK,EAAIxD,EAAIA,EAAI,EAC9B,EA8rBCmC,WACAoC,MACA6G,QAhpBF,SAA+ClD,EAAY2B,EAAwB5I,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EAEZc,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP+K,EAAK/K,EAAE,GAEP9E,EAAK1D,KAAKiF,IAAIuN,GACdE,EAAK1S,KAAKgF,IAAIwN,GAOpB,OALApR,EAAO,GAAK6J,EAAKyH,EAAKa,EAAK7P,EAC3BtC,EAAO,GAAK8J,EAAKwH,EAAKvH,EAAKzH,EAC3BtC,EAAO,GAAK+J,EAAKuH,EAAKxH,EAAKxH,EAC3BtC,EAAO,GAAKmS,EAAKb,EAAKzH,EAAKvH,EAEpBtC,CACR,EA8nBCyK,QArnBF,SAA+CrD,EAAY2B,EAAwB5I,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EAEZc,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP+K,EAAK/K,EAAE,GAEP7E,EAAK3D,KAAKiF,IAAIuN,GACdE,EAAK1S,KAAKgF,IAAIwN,GAOpB,OALApR,EAAO,GAAK6J,EAAKyH,EAAKvH,EAAKxH,EAC3BvC,EAAO,GAAK8J,EAAKwH,EAAKa,EAAK5P,EAC3BvC,EAAO,GAAK+J,EAAKuH,EAAKzH,EAAKtH,EAC3BvC,EAAO,GAAKmS,EAAKb,EAAKxH,EAAKvH,EAEpBvC,CACR,EAmmBC0K,QA1lBF,SAA+CtD,EAAY2B,EAAwB5I,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0R,EAA6B,GAAjBrI,EAEZc,EAAKzC,EAAE,GACP0C,EAAK1C,EAAE,GACP2C,EAAK3C,EAAE,GACP+K,EAAK/K,EAAE,GAEPmC,EAAK3K,KAAKiF,IAAIuN,GACdE,EAAK1S,KAAKgF,IAAIwN,GAOpB,OALApR,EAAO,GAAK6J,EAAKyH,EAAKxH,EAAKP,EAC3BvJ,EAAO,GAAK8J,EAAKwH,EAAKzH,EAAKN,EAC3BvJ,EAAO,GAAK+J,EAAKuH,EAAKa,EAAK5I,EAC3BvJ,EAAO,GAAKmS,EAAKb,EAAKvH,EAAKR,EAEpBvJ,CACR,EAwkBCuR,QACAhR,QA5gBF,SAA+C6G,EAAYjH,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0S,EAAKhL,EAAE,GACPiL,EAAKjL,EAAE,GACPkL,EAAKlL,EAAE,GACPmL,EAAKnL,EAAE,GAEP5G,EAAM4R,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EACzCC,EAAShS,EAAM,EAAIA,EAAM,EAO/B,OALAR,EAAO,IAAMoS,EAAKI,EAClBxS,EAAO,IAAMqS,EAAKG,EAClBxS,EAAO,IAAMsS,EAAKE,EAClBxS,EAAO,GAAMuS,EAAKC,EAEXxS,CACR,EA4fCyS,UAjfF,SAAiDrL,EAAYjH,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMoH,EAAE,GACfpH,EAAO,IAAMoH,EAAE,GACfpH,EAAO,IAAMoH,EAAE,GACfpH,EAAO,GAAMoH,EAAE,GAERpH,CACR,EAyeC0S,QA9dF,SAA+C3T,EAAsBoB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAc1BiT,EAAQ5T,EAAE,GAAKA,EAAE,GAAKA,EAAE,IAE9B,GAAI4T,EAAQ,EAAK,CAEf,MAAMC,EAAOhU,KAAKgC,KAAK+R,EAAQ,GAC/B3S,EAAO,GAAK,GAAM4S,EAClB,MAAMC,EAAU,GAAMD,EAEtB5S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM8T,EAC5B7S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM8T,EAC5B7S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM8T,CAC7B,KAAM,CAEL,IAAIC,EAAI,EAEJ/T,EAAE,GAAKA,EAAE,KACX+T,EAAI,GAEF/T,EAAE,IAAMA,EAAM,EAAJ+T,EAAQA,KACpBA,EAAI,GAGN,MAAMC,GAAKD,EAAI,GAAK,EACdxS,GAAKwS,EAAI,GAAK,EAEdF,EAAOhU,KAAKgC,KAAK7B,EAAM,EAAJ+T,EAAQA,GAAK/T,EAAM,EAAJgU,EAAQA,GAAKhU,EAAM,EAAJuB,EAAQA,GAAK,GACpEN,EAAO8S,GAAK,GAAMF,EAElB,MAAMC,EAAU,GAAMD,EAEtB5S,EAAO,IAAMjB,EAAM,EAAJgU,EAAQzS,GAAKvB,EAAM,EAAJuB,EAAQyS,IAAMF,EAC5C7S,EAAO+S,IAAMhU,EAAM,EAAJgU,EAAQD,GAAK/T,EAAM,EAAJ+T,EAAQC,IAAMF,EAC5C7S,EAAOM,IAAMvB,EAAM,EAAJuB,EAAQwS,GAAK/T,EAAM,EAAJ+T,EAAQxS,IAAMuS,CAC7C,CAED,OAAO7S,CACR,EA4aCgT,UAhaF,SACIC,EACAC,EACAC,EACAC,EACAjT,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2T,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EAEbK,EAAK5U,KAAKiF,IAAIwP,GACdI,EAAK7U,KAAKgF,IAAIyP,GACdK,EAAK9U,KAAKiF,IAAIyP,GACdK,EAAK/U,KAAKgF,IAAI0P,GACdM,EAAKhV,KAAKiF,IAAI0P,GACdM,EAAKjV,KAAKgF,IAAI2P,GAEpB,OAAQH,GACN,IAAK,MACHpT,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH5T,EAAO,GAAKwT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC5T,EAAO,GAAKyT,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC5T,EAAO,GAAKyT,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC7T,EAAO,GAAKyT,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,QACE,MAAM,IAAIE,MAAM,2BAA2BV,KAG/C,OAAOpT,CACR,EA8VCoB,OACAoC,QACAxB,IA5TF,SAA2C5D,EAAYY,EAAYmB,GACjE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EAoTCE,WACAyC,MACAtC,YACA6B,QACAc,UAzPF,SAAiD/D,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAiPCQ,MACAJ,KA5NF,SAA4ChC,EAAYY,EAAYI,EAAWe,GAC7E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,EAoNCS,SACAU,MACAN,WACAuC,QACAlC,YACA0B,oBA3IF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAuICC,OA/HF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA8HC6F,SAvHF,SAAgD1E,GAC9C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA+GC+T,WAjGF,SAAkDC,EAAgBC,EAAgB9T,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1Bc,EAAMmK,EAAKnK,IAAIwT,EAAOC,GAC5B,OAAIzT,GAAO,SACTmK,EAAKzH,MAAM4O,EAAWkC,EAAOnC,GACzBlH,EAAKxJ,IAAI0Q,GAAY,MACvBlH,EAAKzH,MAAM6O,EAAWiC,EAAOnC,GAG/BlH,EAAKzJ,UAAU2Q,EAAUA,GACzBV,EAAcU,EAAUjT,KAAKC,GAAImB,GAE1BA,GACEQ,EAAM,SACfR,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,IAEP2K,EAAKzH,MAAM8Q,EAAOC,EAAOpC,GAEzB7R,EAAO,GAAK6R,EAAS,GACrB7R,EAAO,GAAK6R,EAAS,GACrB7R,EAAO,GAAK6R,EAAS,GACrB7R,EAAO,GAAK,EAAIQ,EAETU,EAAUlB,EAAQA,GAE5B,EAmECkU,OApDF,SACI9V,EACAY,EACAgK,EACA9J,EACAE,EACAe,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJA6R,EAAMnT,EAAGc,EAAGE,EAAG4S,GACfT,EAAMvS,EAAGgK,EAAG5J,EAAG6S,GACfV,EAAMS,EAAWC,EAAW,EAAI7S,GAAK,EAAIA,GAAIY,GAEtCA,CACR,EAyCD,CA+BU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCnKA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAlvBJ,SAA4DD,GAU5D,SAASG,EAAOC,EAAYC,EAAYoD,EAAYkE,GAClD,MAAMrH,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANoH,IACFrH,EAAO,GAAKqH,MAKbrH,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAsED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAmCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAyBD,SAASS,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,EACrD,CAcD,SAAS9F,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,CAC3C,CAeD,SAAS7F,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACdmV,EAAK/V,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,EAAK8K,EAAKA,EACrD,CAgBD,SAASlT,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACdqK,EAAKjL,EAAE,GAAKY,EAAE,GACdmV,EAAK/V,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAKqI,EAAKA,EAAK8K,EAAKA,CAC3C,CAgBD,SAASjT,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAK+F,EAAKA,EAAKC,EAAKA,GAczD,OAZIxF,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK0G,EAAKvF,EACjBnB,EAAO,GAAK2G,EAAKxF,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CA0BD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4DD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WApoBiB3B,EAqoBjB4B,IAxnBF,SAA0C3B,EAAWC,EAAWoD,EAAWkE,EAAWlH,GACpF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKqH,EAELrH,CACR,EAgnBC0B,KAxmBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAgmBC2B,MAxlBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EAglBC4B,MAxkBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EAgkBC6B,MAtjBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA8iBCgC,IAriBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6hBCiC,UAnhBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA2gBCE,WACAyC,IAjfUzC,EAkfV0C,oBA1eF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAseCC,OA9dF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA6dCoB,OACA2C,MA7bF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAqbC+B,IA1aF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAkaC8B,IAvZF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA+YCK,YACA6B,MArXY7B,EAsXZ2C,UA7WF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAqWCO,UACA0C,OA7Ua1C,EA8UbC,IAtUF,SAAapC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,EAqUCyB,SACAU,IAlTUV,EAmTVI,WACAuC,MAhSYvC,EAiSZC,WACAuC,KA5QWvC,EA6QXG,aACAqC,OAxParC,EAyPbC,YACAqC,OApNF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA4MCoB,OACAoC,MAlLYpC,EAmLZC,WACAoC,IAvJUpC,EAwJVC,SACAoC,IA5HUpC,EA6HVwC,KAtHF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA8GC+D,cApGF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNoI,EAAIpI,EAAE,GAOZ,OALAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMsI,EACtDrH,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMsI,EACtDrH,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMsI,EACtDrH,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMsI,EAE/CrH,CACR,EAuFCuB,YACAgD,SAjEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA0DCyE,SAjDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAgDD,CA+BUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC3tBA,SAASyU,EAQLC,EACAC,EACAC,EACAC,EACAC,EACAC,GAEF,MAAO,CAELC,KAAMC,EAAiBP,GAEvBQ,KAAMC,EAAiBR,GAEvBS,KAAMC,EAAiBT,GAEvB5P,KAAMC,EAAiB4P,GAEvB7J,KAAMC,EAAiB6J,GAEvBQ,KAAMC,EAAiBR,GAE3B,CAEa,MAAAC,KAKXA,EAAIE,KAKJA,EAAIE,KAKJA,EAAIpQ,KAKJA,EAAIgG,KAKJA,EAAIsK,KAKJA,GACEb,EAEAe,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxER,KAAMS,EAKNP,KAAMQ,EAKNN,KAAMO,EAKN3Q,KAAM4Q,EAKN5K,KAAM6K,EAKNP,KAAMQ,GACJrB,EAEAsB,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxEf,KAAMgB,EAKNd,KAAMe,EAKNb,KAAMc,EAKNlR,KAAMmR,EAKNnL,KAAMoL,EAKNd,KAAMe,GACJ5B,EAEAnW,EAAWgY,MAAOA,MAAOA,MAAOA,MAAOA"} \ No newline at end of file +{"version":3,"file":"wgpu-matrix.module.min.js","sources":["../../../src/types.ts","../../../src/utils.ts","../../../src/vec2-impl.ts","../../../src/vec3-impl.ts","../../../src/mat3-impl.ts","../../../src/mat4-impl.ts","../../../src/quat-impl.ts","../../../src/vec4-impl.ts","../../../src/wgpu-matrix.ts"],"sourcesContent":["/**\n * The types you can pass to most functions that take an\n * array of numbers.\n */\nexport type BaseArgType = Float32Array | Float64Array | number[];\n\nfunction wrapConstructor any>(\n OriginalConstructor: T,\n modifier: (instance: InstanceType) => void\n): T {\n return class extends OriginalConstructor {\n constructor(...args: any[]) {\n super(...args);\n modifier(this as InstanceType);\n }\n } as T; // Type assertion is necessary here\n}\n\nexport const ZeroArray = wrapConstructor(Array, a => a.fill(0));\n\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nexport let EPSILON = 0.000001;\n\n/**\n * Set the value for EPSILON for various checks\n * @param v - Value to use for EPSILON.\n * @returns previous value of EPSILON;\n */\nexport function setEpsilon(v: number): number {\n const old = EPSILON;\n EPSILON = v;\n return old;\n}\n\n/**\n * Convert degrees to radians\n * @param degrees - Angle in degrees\n * @returns angle converted to radians\n */\nexport function degToRad(degrees: number): number {\n return degrees * Math.PI / 180;\n}\n\n/**\n * Convert radians to degrees\n * @param radians - Angle in radians\n * @returns angle converted to degrees\n */\nexport function radToDeg(radians: number): number {\n return radians * 180 / Math.PI;\n}\n\n/**\n * Lerps between a and b via t\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @returns a + (b - a) * t\n */\nexport function lerp(a: number, b: number, t: number): number {\n return a + (b - a) * t;\n}\n\n/**\n * Compute the opposite of lerp. Given a and b and a value between\n * a and b returns a value between 0 and 1. 0 if a, 1 if b.\n * Note: no clamping is done.\n * @param a - start value\n * @param b - end value\n * @param v - value between a and b\n * @returns (v - a) / (b - a)\n */\nexport function inverseLerp(a: number, b: number, v: number): number {\n const d = b - a;\n return (Math.abs(b - a) < EPSILON)\n ? a\n : (v - a) / d;\n}\n\n/**\n * Compute the euclidean modulo\n *\n * ```\n * // table for n / 3\n * -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 <- n\n * ------------------------------------\n * -2 -1 -0 -2 -1 0, 1, 2, 0, 1, 2 <- n % 3\n * 1 2 0 1 2 0, 1, 2, 0, 1, 2 <- euclideanModule(n, 3)\n * ```\n *\n * @param n - dividend\n * @param m - divisor\n * @returns the euclidean modulo of n / m\n */\nexport function euclideanModulo(n: number, m: number) {\n return ((n % m) + m) % m;\n}","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg, Vec2Type } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { BaseArgType } from './types';\n\nexport { Vec2Arg, Vec2Type };\n\ntype Vec2Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n */\nfunction getAPIImpl(Ctor: Vec2Ctor) {\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values.\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Vec2's specified type\n * it would be faster to use\n *\n * ```\n * const v = vec2.clone(someJSArray);\n * ```\n *\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nfunction create(x = 0, y = 0) {\n const newDst = new Ctor(2);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Vec2; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec2\n * Also see {@link vec2.create} and {@link vec2.copy}\n *\n * @param x first value\n * @param y second value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec2Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec2Arg, b: Vec2Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec2Arg, b: Vec2Arg): number {\n const ax = a[0];\n const ay = a[1];\n const bx = b[0];\n const by = b[1];\n const mag1 = Math.sqrt(ax * ax + ay * ay);\n const mag2 = Math.sqrt(bx * bx + by * by);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec2Arg, b: Vec2Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec2Arg, b: Vec2Arg): boolean {\n return a[0] === b[0] && a[1] === b[1];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec2Arg, b: Vec2Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec2Arg, b: Vec2Arg, t: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec2Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const z = a[0] * b[1] - a[1] * b[0];\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec2Arg, b: Vec2Arg): number {\n return a[0] * b[0] + a[1] * b[1];\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return Math.sqrt(v0 * v0 + v1 * v1);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec2Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n return v0 * v0 + v1 * v1;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return Math.sqrt(dx * dx + dy * dy);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec2Arg, b: Vec2Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n return dx * dx + dy * dy;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const len = Math.sqrt(v0 * v0 + v1 * v1);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec2.clone})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec2.copy})\n * Also see {@link vec2.create} and {@link vec2.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random unit vector * scale\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n newDst[0] = Math.cos(angle) * scale;\n newDst[1] = Math.sin(angle) * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform Vec2 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec2Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = x * m[0] + y * m[4] + m[12];\n newDst[1] = x * m[1] + y * m[5] + m[13];\n\n return newDst;\n}\n\n/**\n * Transforms vec4 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional Vec2 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec2Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n const x = v[0];\n const y = v[1];\n\n newDst[0] = m[0] * x + m[4] * y + m[8];\n newDst[1] = m[1] * x + m[5] * y + m[9];\n\n return newDst;\n}\n\n/**\n * Rotate a 2D vector\n *\n * @param a The vec2 point to rotate\n * @param b The origin of the rotation\n * @param rad The angle of rotation in radians\n * @returns the rotated vector\n */\nfunction rotate(a: Vec2Arg, b: Vec2Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n // Translate point to the origin\n const p0 = a[0] - b[0];\n const p1 = a[1] - b[1];\n const sinC = Math.sin(rad);\n const cosC = Math.cos(rad);\n\n //perform rotation and translate to correct position\n newDst[0] = p0 * cosC - p1 * sinC + b[0];\n newDst[1] = p0 * sinC + p1 * cosC + b[1];\n\n return newDst;\n}\n\n/**\n * Treat a 2D vector as a direction and set it's length\n *\n * @param a The vec2 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec2Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec2 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec2Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec2Arg, b: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(2)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat3,\n rotate,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec2Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec3Arg, Vec3Type } from './vec3';\nimport { Mat3Arg } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { QuatArg } from './quat';\nimport { BaseArgType } from './types';\n\nexport { Vec3Arg, Vec3Type };\n\ntype Vec3Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec3\n * */\nfunction getAPIImpl(Ctor: Vec3Ctor) {\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number) {\n const newDst = new Ctor(3);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec3; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec3\n * Also see {@link vec3.create} and {@link vec3.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec3Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec3Arg, b: Vec3Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n\n return newDst;\n}\n\n/**\n * Returns the angle in radians between two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns The angle in radians between the 2 vectors.\n */\nfunction angle(a: Vec3Arg, b: Vec3Arg): number {\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const mag1 = Math.sqrt(ax * ax + ay * ay + az * az);\n const mag2 = Math.sqrt(bx * bx + by * by + bz * bz);\n const mag = mag1 * mag2;\n const cosine = mag && dot(a, b) / mag;\n return Math.acos(cosine);\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec3Arg, b: Vec3Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec3Arg, b: Vec3Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec3Arg, b: Vec3Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec3Arg, b: Vec3Arg, t: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec3Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the cross product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of a cross b.\n */\nfunction cross(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const t1 = a[2] * b[0] - a[0] * b[2];\n const t2 = a[0] * b[1] - a[1] * b[0];\n newDst[0] = a[1] * b[2] - a[2] * b[1];\n newDst[1] = t1;\n newDst[2] = t2;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two vectors; assumes both vectors have\n * three entries.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec3Arg, b: Vec3Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec3Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n return v0 * v0 + v1 * v1 + v2 * v2;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return Math.sqrt(dx * dx + dy * dy + dz * dz);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec3Arg, b: Vec3Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n return dx * dx + dy * dy + dz * dz;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec3.clone})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec3.copy})\n * Also see {@link vec3.create} and {@link vec3.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Creates a random vector\n * @param scale - Default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The random vector.\n */\nfunction random(scale = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const angle = Math.random() * 2 * Math.PI;\n const z = Math.random() * 2 - 1;\n const zScale = Math.sqrt(1 - z * z) * scale;\n newDst[0] = Math.cos(angle) * zScale;\n newDst[1] = Math.sin(angle) * zScale;\n newDst[2] = z * scale;\n\n return newDst;\n}\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec3 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = (m[3] * x + m[7] * y + m[11] * z + m[15]) || 1;\n\n newDst[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n newDst[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n newDst[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n\n return newDst;\n}\n\n/**\n * Transform vec3 by upper 3x3 matrix inside 4x4 matrix.\n * @param v - The direction.\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns The transformed vector.\n */\nfunction transformMat4Upper3x3(v: Vec3Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];\n newDst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];\n newDst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by 3x3 matrix\n *\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat3(v: Vec3Arg, m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n newDst[0] = x * m[0] + y * m[4] + z * m[8];\n newDst[1] = x * m[1] + y * m[5] + z * m[9];\n newDst[2] = x * m[2] + y * m[6] + z * m[10];\n\n return newDst;\n}\n\n/**\n * Transforms vec3 by Quaternion\n * @param v - the vector to transform\n * @param q - the quaternion to transform by\n * @param dst - optional vec3 to store result. If not passed a new one is created.\n * @returns the transformed\n */\nfunction transformQuat(v: Vec3Arg, q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const w2 = q[3] * 2;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n\n const uvX = qy * z - qz * y;\n const uvY = qz * x - qx * z;\n const uvZ = qx * y - qy * x;\n\n newDst[0] = x + uvX * w2 + (qy * uvZ - qz * uvY) * 2;\n newDst[1] = y + uvY * w2 + (qz * uvX - qx * uvZ) * 2;\n newDst[2] = z + uvZ * w2 + (qx * uvY - qy * uvX) * 2;\n\n return newDst;\n}\n\n/**\n * Returns the translation component of a 4-by-4 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n/**\n * Returns the scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the x-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateX(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n //Translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n //perform rotation\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad);\n\n //translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the y-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns the rotated vector\n */\nfunction rotateY(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad);\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Rotate a 3D vector around the z-axis\n *\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @param dst - The vector to set. If not passed a new one is created.\n * @returns {vec3} out\n */\nfunction rotateZ(a: Vec3Arg, b: Vec3Arg, rad: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n const p = [];\n const r = [];\n\n // translate point to the origin\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2];\n\n // perform rotation\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2];\n\n // translate to correct position\n newDst[0] = r[0] + b[0];\n newDst[1] = r[1] + b[1];\n newDst[2] = r[2] + b[2];\n\n return newDst;\n}\n\n/**\n * Treat a 3D vector as a direction and set it's length\n *\n * @param a The vec3 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec3Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec3 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec3Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec3Arg, b: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(3)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n angle,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n cross,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n random,\n zero,\n transformMat4,\n transformMat4Upper3x3,\n transformMat3,\n transformQuat,\n getTranslation,\n getAxis,\n getScaling,\n rotateX,\n rotateY,\n rotateZ,\n setLength,\n truncate,\n midpoint,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Vec3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\n\nimport * as utils from './utils.js';\nimport { QuatArg } from './quat';\nimport { Mat3Arg, Mat3Type } from './mat3';\nimport { Mat4Arg } from './mat4';\nimport { Vec2Arg } from './vec2';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec2API } from './vec2-impl';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { Mat3Arg, Mat3Type };\n\ntype Mat3Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat3\n * */\nfunction getAPIImpl(Ctor: Mat3Ctor) {\n const vec2 = getVec2API(Ctor);\n const vec3 = getVec3API(Ctor);\n\n/**\n * Create a Mat3 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat3's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat3.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @returns matrix created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number,\n v3?: number, v4?: number, v5?: number,\n v6?: number, v7?: number, v8?: number) {\n const newDst = new Ctor(12);\n // to make the array homogenous\n newDst[3] = 0;\n newDst[7] = 0;\n newDst[11] = 0;\n\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[4] = v3;\n if (v4 !== undefined) {\n newDst[5] = v4;\n if (v5 !== undefined) {\n newDst[6] = v5;\n if (v6 !== undefined) {\n newDst[8] = v6;\n if (v7 !== undefined) {\n newDst[9] = v7;\n if (v8 !== undefined) {\n newDst[10] = v8;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n\n return newDst;\n}\n\n/**\n * Sets the values of a Mat3\n * Also see {@link mat3.create} and {@link mat3.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 set from values.\n */\nfunction set(\n v0: number, v1: number, v2: number,\n v3: number, v4: number, v5: number,\n v6: number, v7: number, v8: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[0] = v0; newDst[1] = v1; newDst[ 2] = v2; newDst[ 3] = 0;\n newDst[4] = v3; newDst[5] = v4; newDst[ 6] = v5; newDst[ 7] = 0;\n newDst[8] = v6; newDst[9] = v7; newDst[10] = v8; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Creates a Mat3 from the upper left 3x3 part of a Mat4\n * @param m4 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from m4\n */\nfunction fromMat4(m4: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n newDst[0] = m4[0]; newDst[1] = m4[1]; newDst[ 2] = m4[ 2]; newDst[ 3] = 0;\n newDst[4] = m4[4]; newDst[5] = m4[5]; newDst[ 6] = m4[ 6]; newDst[ 7] = 0;\n newDst[8] = m4[8]; newDst[9] = m4[9]; newDst[10] = m4[10]; newDst[11] = 0;\n return newDst;\n}\n\n/**\n * Creates a Mat3 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat3 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat3.clone})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat3.copy})\n * Also see {@link mat3.create} and {@link mat3.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat3Arg, b: Mat3Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a Operand matrix.\n * @param b Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat3Arg, b: Mat3Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10];\n}\n\n/**\n * Creates a 3-by-3 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 3-by-3 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n if (newDst === m) {\n let t: number;\n\n // 0 1 2\n // 4 5 6\n // 8 9 10\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n const b01 = m22 * m11 - m12 * m21;\n const b11 = -m22 * m10 + m12 * m20;\n const b21 = m21 * m10 - m11 * m20;\n\n const invDet = 1 / (m00 * b01 + m01 * b11 + m02 * b21);\n\n newDst[ 0] = b01 * invDet;\n newDst[ 1] = (-m22 * m01 + m02 * m21) * invDet;\n newDst[ 2] = ( m12 * m01 - m02 * m11) * invDet;\n newDst[ 4] = b11 * invDet;\n newDst[ 5] = ( m22 * m00 - m02 * m20) * invDet;\n newDst[ 6] = (-m12 * m00 + m02 * m10) * invDet;\n newDst[ 8] = b21 * invDet;\n newDst[ 9] = (-m21 * m00 + m01 * m20) * invDet;\n newDst[10] = ( m11 * m00 - m01 * m10) * invDet;\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat3Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n return m00 * (m11 * m22 - m21 * m12) -\n m10 * (m01 * m22 - m21 * m02) +\n m20 * (m01 * m12 - m11 * m02);\n}\n\n/**\n * Computes the inverse of a 3-by-3 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat3Arg, b: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22;\n\n return newDst;\n}\n\n/**\n * Multiplies two 3-by-3 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 3-by-3 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n }\n newDst[ 8] = v[0];\n newDst[ 9] = v[1];\n newDst[10] = 1;\n return newDst;\n}\n\n/**\n * Returns the translation component of a 3-by-3 matrix as a vector with 3\n * entries.\n * @param m - The matrix.\n * @param dst - vector to hold result. If not passed a new one is created.\n * @returns The translation component of m.\n */\nfunction getTranslation(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n newDst[0] = m[8];\n newDst[1] = m[9];\n return newDst;\n}\n\n/**\n * Returns an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y,\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat3Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec2.create()) as T;\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n return newDst;\n}\n\n/**\n * Sets an axis of a 3x3 matrix as a vector with 2 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat3Arg, v: Vec2Arg, axis: number, dst?: T) {\n const newDst = (dst === m ? m : copy(m, dst)) as T;\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n return newDst;\n}\n\n/**\n * Returns the \"2d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec2.create());\n\n const xx = m[0];\n const xy = m[1];\n const yx = m[4];\n const yy = m[5];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy);\n newDst[1] = Math.sqrt(yx * yx + yy * yy);\n\n return newDst;\n}\n\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction get3DScaling(m: Mat3Arg, dst?: T) {\n const newDst = (dst ?? vec3.create());\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which translates by the given vector v.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0;\n newDst[ 8] = v[0]; newDst[ 9] = v[1]; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 3-by-3 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n }\n\n newDst[ 8] = m00 * v0 + m10 * v1 + m20;\n newDst[ 9] = m01 * v0 + m11 * v1 + m21;\n newDst[10] = m02 * v0 + m12 * v1 + m22;\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which rotates by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotation(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 3-by-3 matrix by the given angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotate(m: Mat3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * 2 entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of 2 entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat3Arg, v: Vec2Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 3-by-3 matrix which scales uniformly in each dimension\n * @param s - Amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 3-by-3 matrix in each dimension by an amount\n * given.\n * @param m - The matrix to be modified.\n * @param s - Amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat3Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(12)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n }\n\n return newDst;\n}\n\nreturn {\n clone,\n create,\n set,\n fromMat4,\n fromQuat,\n negate,\n copy,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n invert,\n determinant,\n mul,\n multiply,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n get3DScaling,\n translation,\n translate,\n rotation,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat3Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","import { Mat4Arg, Mat4Type } from './mat4';\nimport { Mat3Arg } from './mat3';\nimport { QuatArg } from './quat';\nimport { Vec3Arg } from './vec3';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\nimport * as utils from './utils';\n\nexport { Mat4Arg, Mat4Type };\n\ntype Mat4Ctor = new (n: number) => T;\n\n/**\n * Generates a typed API for Mat4\n * */\nfunction getAPIImpl(Ctor: Mat4Ctor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * 4x4 Matrix math math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new matrix. In other words you can do this\n *\n * const mat = mat4.translation([1, 2, 3]); // Creates a new translation matrix\n *\n * or\n *\n * const mat = mat4.create();\n * mat4.translation([1, 2, 3], mat); // Puts translation matrix in mat.\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always save to pass any matrix as the destination. So for example\n *\n * const mat = mat4.identity();\n * const trans = mat4.translation([1, 2, 3]);\n * mat4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.\n *\n */\n\n\n/**\n * Create a Mat4 from values\n *\n * Note: Since passing in a raw JavaScript array\n * is valid in all circumstances, if you want to\n * force a JavaScript array into a Mat4's specified type\n * it would be faster to use\n *\n * ```\n * const m = mat4.clone(someJSArray);\n * ```\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @returns created from values.\n */\nfunction create(\n v0?: number, v1?: number, v2?: number, v3?: number,\n v4?: number, v5?: number, v6?: number, v7?: number,\n v8?: number, v9?: number, v10?: number, v11?: number,\n v12?: number, v13?: number, v14?: number, v15?: number) {\n const newDst = new Ctor(16);\n if (v0 !== undefined) {\n newDst[0] = v0;\n if (v1 !== undefined) {\n newDst[1] = v1;\n if (v2 !== undefined) {\n newDst[2] = v2;\n if (v3 !== undefined) {\n newDst[3] = v3;\n if (v4 !== undefined) {\n newDst[4] = v4;\n if (v5 !== undefined) {\n newDst[5] = v5;\n if (v6 !== undefined) {\n newDst[6] = v6;\n if (v7 !== undefined) {\n newDst[7] = v7;\n if (v8 !== undefined) {\n newDst[8] = v8;\n if (v9 !== undefined) {\n newDst[9] = v9;\n if (v10 !== undefined) {\n newDst[10] = v10;\n if (v11 !== undefined) {\n newDst[11] = v11;\n if (v12 !== undefined) {\n newDst[12] = v12;\n if (v13 !== undefined) {\n newDst[13] = v13;\n if (v14 !== undefined) {\n newDst[14] = v14;\n if (v15 !== undefined) {\n newDst[15] = v15;\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Sets the values of a Mat4\n * Also see {@link mat4.create} and {@link mat4.copy}\n *\n * @param v0 - value for element 0\n * @param v1 - value for element 1\n * @param v2 - value for element 2\n * @param v3 - value for element 3\n * @param v4 - value for element 4\n * @param v5 - value for element 5\n * @param v6 - value for element 6\n * @param v7 - value for element 7\n * @param v8 - value for element 8\n * @param v9 - value for element 9\n * @param v10 - value for element 10\n * @param v11 - value for element 11\n * @param v12 - value for element 12\n * @param v13 - value for element 13\n * @param v14 - value for element 14\n * @param v15 - value for element 15\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 created from values.\n */\nfunction set(\n v0: number, v1: number, v2: number, v3: number,\n v4: number, v5: number, v6: number, v7: number,\n v8: number, v9: number, v10: number, v11: number,\n v12: number, v13: number, v14: number, v15: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v0; newDst[ 1] = v1; newDst[ 2] = v2; newDst[ 3] = v3;\n newDst[ 4] = v4; newDst[ 5] = v5; newDst[ 6] = v6; newDst[ 7] = v7;\n newDst[ 8] = v8; newDst[ 9] = v9; newDst[10] = v10; newDst[11] = v11;\n newDst[12] = v12; newDst[13] = v13; newDst[14] = v14; newDst[15] = v15;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 from a Mat3\n * @param m3 - source matrix\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from m3\n */\nfunction fromMat3(m3: Mat3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m3[0]; newDst[ 1] = m3[1]; newDst[ 2] = m3[ 2]; newDst[ 3] = 0;\n newDst[ 4] = m3[4]; newDst[ 5] = m3[5]; newDst[ 6] = m3[ 6]; newDst[ 7] = 0;\n newDst[ 8] = m3[8]; newDst[ 9] = m3[9]; newDst[10] = m3[10]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a Mat4 rotation matrix from a quaternion\n * @param q - quaternion to create matrix from\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns Mat4 made from q\n */\nfunction fromQuat(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const x = q[0]; const y = q[1]; const z = q[2]; const w = q[3];\n const x2 = x + x; const y2 = y + y; const z2 = z + z;\n\n const xx = x * x2;\n const yx = y * x2;\n const yy = y * y2;\n const zx = z * x2;\n const zy = z * y2;\n const zz = z * z2;\n const wx = w * x2;\n const wy = w * y2;\n const wz = w * z2;\n\n newDst[ 0] = 1 - yy - zz; newDst[ 1] = yx + wz; newDst[ 2] = zx - wy; newDst[ 3] = 0;\n newDst[ 4] = yx - wz; newDst[ 5] = 1 - xx - zz; newDst[ 6] = zy + wx; newDst[ 7] = 0;\n newDst[ 8] = zx + wy; newDst[ 9] = zy - wx; newDst[10] = 1 - xx - yy; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Negates a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns -m.\n */\nfunction negate(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = -m[ 0]; newDst[ 1] = -m[ 1]; newDst[ 2] = -m[ 2]; newDst[ 3] = -m[ 3];\n newDst[ 4] = -m[ 4]; newDst[ 5] = -m[ 5]; newDst[ 6] = -m[ 6]; newDst[ 7] = -m[ 7];\n newDst[ 8] = -m[ 8]; newDst[ 9] = -m[ 9]; newDst[10] = -m[10]; newDst[11] = -m[11];\n newDst[12] = -m[12]; newDst[13] = -m[13]; newDst[14] = -m[14]; newDst[15] = -m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix. (same as {@link mat4.clone})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nfunction copy(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = m[ 0]; newDst[ 1] = m[ 1]; newDst[ 2] = m[ 2]; newDst[ 3] = m[ 3];\n newDst[ 4] = m[ 4]; newDst[ 5] = m[ 5]; newDst[ 6] = m[ 6]; newDst[ 7] = m[ 7];\n newDst[ 8] = m[ 8]; newDst[ 9] = m[ 9]; newDst[10] = m[10]; newDst[11] = m[11];\n newDst[12] = m[12]; newDst[13] = m[13]; newDst[14] = m[14]; newDst[15] = m[15];\n\n return newDst;\n}\n\n/**\n * Copies a matrix (same as {@link mat4.copy})\n * Also see {@link mat4.create} and {@link mat4.set}\n * @param m - The matrix.\n * @param dst - The matrix. If not passed a new one is created.\n * @returns A copy of m.\n */\nconst clone = copy;\n\n/**\n * Check if 2 matrices are approximately equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are approximately equal\n */\nfunction equalsApproximately(a: Mat4Arg, b: Mat4Arg): boolean {\n return Math.abs(a[ 0] - b[ 0]) < utils.EPSILON &&\n Math.abs(a[ 1] - b[ 1]) < utils.EPSILON &&\n Math.abs(a[ 2] - b[ 2]) < utils.EPSILON &&\n Math.abs(a[ 3] - b[ 3]) < utils.EPSILON &&\n Math.abs(a[ 4] - b[ 4]) < utils.EPSILON &&\n Math.abs(a[ 5] - b[ 5]) < utils.EPSILON &&\n Math.abs(a[ 6] - b[ 6]) < utils.EPSILON &&\n Math.abs(a[ 7] - b[ 7]) < utils.EPSILON &&\n Math.abs(a[ 8] - b[ 8]) < utils.EPSILON &&\n Math.abs(a[ 9] - b[ 9]) < utils.EPSILON &&\n Math.abs(a[10] - b[10]) < utils.EPSILON &&\n Math.abs(a[11] - b[11]) < utils.EPSILON &&\n Math.abs(a[12] - b[12]) < utils.EPSILON &&\n Math.abs(a[13] - b[13]) < utils.EPSILON &&\n Math.abs(a[14] - b[14]) < utils.EPSILON &&\n Math.abs(a[15] - b[15]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 matrices are exactly equal\n * @param a - Operand matrix.\n * @param b - Operand matrix.\n * @returns true if matrices are exactly equal\n */\nfunction equals(a: Mat4Arg, b: Mat4Arg): boolean {\n return a[ 0] === b[ 0] &&\n a[ 1] === b[ 1] &&\n a[ 2] === b[ 2] &&\n a[ 3] === b[ 3] &&\n a[ 4] === b[ 4] &&\n a[ 5] === b[ 5] &&\n a[ 6] === b[ 6] &&\n a[ 7] === b[ 7] &&\n a[ 8] === b[ 8] &&\n a[ 9] === b[ 9] &&\n a[10] === b[10] &&\n a[11] === b[11] &&\n a[12] === b[12] &&\n a[13] === b[13] &&\n a[14] === b[14] &&\n a[15] === b[15];\n}\n\n/**\n * Creates a 4-by-4 identity matrix.\n *\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A 4-by-4 identity matrix.\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Takes the transpose of a matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The transpose of m.\n */\nfunction transpose(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n if (newDst === m) {\n let t;\n\n t = m[1];\n m[1] = m[4];\n m[4] = t;\n\n t = m[2];\n m[2] = m[8];\n m[8] = t;\n\n t = m[3];\n m[3] = m[12];\n m[12] = t;\n\n t = m[6];\n m[6] = m[9];\n m[9] = t;\n\n t = m[7];\n m[7] = m[13];\n m[13] = t;\n\n t = m[11];\n m[11] = m[14];\n m[14] = t;\n return newDst;\n }\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n newDst[ 0] = m00; newDst[ 1] = m10; newDst[ 2] = m20; newDst[ 3] = m30;\n newDst[ 4] = m01; newDst[ 5] = m11; newDst[ 6] = m21; newDst[ 7] = m31;\n newDst[ 8] = m02; newDst[ 9] = m12; newDst[10] = m22; newDst[11] = m32;\n newDst[12] = m03; newDst[13] = m13; newDst[14] = m23; newDst[15] = m33;\n\n return newDst;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix.\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nfunction inverse(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n const tmp12 = m20 * m31;\n const tmp13 = m30 * m21;\n const tmp14 = m10 * m31;\n const tmp15 = m30 * m11;\n const tmp16 = m10 * m21;\n const tmp17 = m20 * m11;\n const tmp18 = m00 * m31;\n const tmp19 = m30 * m01;\n const tmp20 = m00 * m21;\n const tmp21 = m20 * m01;\n const tmp22 = m00 * m11;\n const tmp23 = m10 * m01;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n const d = 1 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);\n\n newDst[ 0] = d * t0;\n newDst[ 1] = d * t1;\n newDst[ 2] = d * t2;\n newDst[ 3] = d * t3;\n newDst[ 4] = d * ((tmp1 * m10 + tmp2 * m20 + tmp5 * m30) -\n (tmp0 * m10 + tmp3 * m20 + tmp4 * m30));\n newDst[ 5] = d * ((tmp0 * m00 + tmp7 * m20 + tmp8 * m30) -\n (tmp1 * m00 + tmp6 * m20 + tmp9 * m30));\n newDst[ 6] = d * ((tmp3 * m00 + tmp6 * m10 + tmp11 * m30) -\n (tmp2 * m00 + tmp7 * m10 + tmp10 * m30));\n newDst[ 7] = d * ((tmp4 * m00 + tmp9 * m10 + tmp10 * m20) -\n (tmp5 * m00 + tmp8 * m10 + tmp11 * m20));\n newDst[ 8] = d * ((tmp12 * m13 + tmp15 * m23 + tmp16 * m33) -\n (tmp13 * m13 + tmp14 * m23 + tmp17 * m33));\n newDst[ 9] = d * ((tmp13 * m03 + tmp18 * m23 + tmp21 * m33) -\n (tmp12 * m03 + tmp19 * m23 + tmp20 * m33));\n newDst[10] = d * ((tmp14 * m03 + tmp19 * m13 + tmp22 * m33) -\n (tmp15 * m03 + tmp18 * m13 + tmp23 * m33));\n newDst[11] = d * ((tmp17 * m03 + tmp20 * m13 + tmp23 * m23) -\n (tmp16 * m03 + tmp21 * m13 + tmp22 * m23));\n newDst[12] = d * ((tmp14 * m22 + tmp17 * m32 + tmp13 * m12) -\n (tmp16 * m32 + tmp12 * m12 + tmp15 * m22));\n newDst[13] = d * ((tmp20 * m32 + tmp12 * m02 + tmp19 * m22) -\n (tmp18 * m22 + tmp21 * m32 + tmp13 * m02));\n newDst[14] = d * ((tmp18 * m12 + tmp23 * m32 + tmp15 * m02) -\n (tmp22 * m32 + tmp14 * m02 + tmp19 * m12));\n newDst[15] = d * ((tmp22 * m22 + tmp16 * m02 + tmp21 * m12) -\n (tmp20 * m12 + tmp23 * m22 + tmp17 * m02));\n\n return newDst;\n}\n\n/**\n * Compute the determinant of a matrix\n * @param m - the matrix\n * @returns the determinant\n */\nfunction determinant(m: Mat4Arg): number {\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n const tmp0 = m22 * m33;\n const tmp1 = m32 * m23;\n const tmp2 = m12 * m33;\n const tmp3 = m32 * m13;\n const tmp4 = m12 * m23;\n const tmp5 = m22 * m13;\n const tmp6 = m02 * m33;\n const tmp7 = m32 * m03;\n const tmp8 = m02 * m23;\n const tmp9 = m22 * m03;\n const tmp10 = m02 * m13;\n const tmp11 = m12 * m03;\n\n const t0 = (tmp0 * m11 + tmp3 * m21 + tmp4 * m31) -\n (tmp1 * m11 + tmp2 * m21 + tmp5 * m31);\n const t1 = (tmp1 * m01 + tmp6 * m21 + tmp9 * m31) -\n (tmp0 * m01 + tmp7 * m21 + tmp8 * m31);\n const t2 = (tmp2 * m01 + tmp7 * m11 + tmp10 * m31) -\n (tmp3 * m01 + tmp6 * m11 + tmp11 * m31);\n const t3 = (tmp5 * m01 + tmp8 * m11 + tmp11 * m21) -\n (tmp4 * m01 + tmp9 * m11 + tmp10 * m21);\n\n return m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3;\n}\n\n/**\n * Computes the inverse of a 4-by-4 matrix. (same as inverse)\n * @param m - The matrix.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The inverse of m.\n */\nconst invert = inverse;\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nfunction multiply(a: Mat4Arg, b: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const a00 = a[0];\n const a01 = a[1];\n const a02 = a[2];\n const a03 = a[3];\n const a10 = a[ 4 + 0];\n const a11 = a[ 4 + 1];\n const a12 = a[ 4 + 2];\n const a13 = a[ 4 + 3];\n const a20 = a[ 8 + 0];\n const a21 = a[ 8 + 1];\n const a22 = a[ 8 + 2];\n const a23 = a[ 8 + 3];\n const a30 = a[12 + 0];\n const a31 = a[12 + 1];\n const a32 = a[12 + 2];\n const a33 = a[12 + 3];\n const b00 = b[0];\n const b01 = b[1];\n const b02 = b[2];\n const b03 = b[3];\n const b10 = b[ 4 + 0];\n const b11 = b[ 4 + 1];\n const b12 = b[ 4 + 2];\n const b13 = b[ 4 + 3];\n const b20 = b[ 8 + 0];\n const b21 = b[ 8 + 1];\n const b22 = b[ 8 + 2];\n const b23 = b[ 8 + 3];\n const b30 = b[12 + 0];\n const b31 = b[12 + 1];\n const b32 = b[12 + 2];\n const b33 = b[12 + 3];\n\n newDst[ 0] = a00 * b00 + a10 * b01 + a20 * b02 + a30 * b03;\n newDst[ 1] = a01 * b00 + a11 * b01 + a21 * b02 + a31 * b03;\n newDst[ 2] = a02 * b00 + a12 * b01 + a22 * b02 + a32 * b03;\n newDst[ 3] = a03 * b00 + a13 * b01 + a23 * b02 + a33 * b03;\n newDst[ 4] = a00 * b10 + a10 * b11 + a20 * b12 + a30 * b13;\n newDst[ 5] = a01 * b10 + a11 * b11 + a21 * b12 + a31 * b13;\n newDst[ 6] = a02 * b10 + a12 * b11 + a22 * b12 + a32 * b13;\n newDst[ 7] = a03 * b10 + a13 * b11 + a23 * b12 + a33 * b13;\n newDst[ 8] = a00 * b20 + a10 * b21 + a20 * b22 + a30 * b23;\n newDst[ 9] = a01 * b20 + a11 * b21 + a21 * b22 + a31 * b23;\n newDst[10] = a02 * b20 + a12 * b21 + a22 * b22 + a32 * b23;\n newDst[11] = a03 * b20 + a13 * b21 + a23 * b22 + a33 * b23;\n newDst[12] = a00 * b30 + a10 * b31 + a20 * b32 + a30 * b33;\n newDst[13] = a01 * b30 + a11 * b31 + a21 * b32 + a31 * b33;\n newDst[14] = a02 * b30 + a12 * b31 + a22 * b32 + a32 * b33;\n newDst[15] = a03 * b30 + a13 * b31 + a23 * b32 + a33 * b33;\n\n return newDst;\n}\n\n/**\n * Multiplies two 4-by-4 matrices with a on the left and b on the right (same as multiply)\n * @param a - The matrix on the left.\n * @param b - The matrix on the right.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix product of a and b.\n */\nconst mul = multiply;\n\n/**\n * Sets the translation component of a 4-by-4 matrix to the given\n * vector.\n * @param a - The matrix.\n * @param v - The vector.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The matrix with translation set.\n */\nfunction setTranslation(a: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? identity()) as T;\n if (a !== newDst) {\n newDst[ 0] = a[ 0];\n newDst[ 1] = a[ 1];\n newDst[ 2] = a[ 2];\n newDst[ 3] = a[ 3];\n newDst[ 4] = a[ 4];\n newDst[ 5] = a[ 5];\n newDst[ 6] = a[ 6];\n newDst[ 7] = a[ 7];\n newDst[ 8] = a[ 8];\n newDst[ 9] = a[ 9];\n newDst[10] = a[10];\n newDst[11] = a[11];\n }\n newDst[12] = v[0];\n newDst[13] = v[1];\n newDst[14] = v[2];\n newDst[15] = 1;\n return newDst;\n}\n\n///**\n// * Returns the translation component of a 4-by-4 matrix as a vector with 3\n// * entries.\n// * @param m - The matrix.\n// * @param dst - vector to hold result. If not passed a new one is created.\n// * @returns The translation component of m.\n// */\nfunction getTranslation(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n newDst[0] = m[12];\n newDst[1] = m[13];\n newDst[2] = m[14];\n return newDst;\n}\n\n/**\n * Returns an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @returns The axis component of m.\n */\nfunction getAxis(m: Mat4Arg, axis: number, dst?: T) {\n const newDst = (dst ?? vec3.create());\n const off = axis * 4;\n newDst[0] = m[off + 0];\n newDst[1] = m[off + 1];\n newDst[2] = m[off + 2];\n return newDst;\n}\n\n/**\n * Sets an axis of a 4x4 matrix as a vector with 3 entries\n * @param m - The matrix.\n * @param v - the axis vector\n * @param axis - The axis 0 = x, 1 = y, 2 = z;\n * @param dst - The matrix to set. If not passed a new one is created.\n * @returns The matrix with axis set.\n */\nfunction setAxis(m: Mat4Arg, v: Vec3Arg, axis: number, dst: T) {\n const newDst = (dst === m) ? dst : copy(m, dst);\n\n const off = axis * 4;\n newDst[off + 0] = v[0];\n newDst[off + 1] = v[1];\n newDst[off + 2] = v[2];\n return newDst;\n}\n\n/**\n * Returns the \"3d\" scaling component of the matrix\n * @param m - The Matrix\n * @param dst - The vector to set. If not passed a new one is created.\n */\nfunction getScaling(m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? vec3.create()) as T;\n\n const xx = m[0];\n const xy = m[1];\n const xz = m[2];\n const yx = m[4];\n const yy = m[5];\n const yz = m[6];\n const zx = m[8];\n const zy = m[9];\n const zz = m[10];\n\n newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz);\n newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz);\n newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz);\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 0 to 1 in the z dimension.\n *\n * Note: If you pass `Infinity` for zFar then it will produce a projection matrix\n * returns -Infinity for Z when transforming coordinates with Z <= 0 and +Infinity for Z\n * otherwise.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */\nfunction perspective(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewYInRadians);\n\n newDst[0] = f / aspect;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = f;\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (Number.isFinite(zFar)) {\n const rangeInv = 1 / (zNear - zFar);\n newDst[10] = zFar * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n } else {\n newDst[10] = -1;\n newDst[14] = -zNear;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the angular height\n * of the frustum, the aspect ratio, and the near and far clipping planes. The\n * arguments define a frustum extending in the negative z direction. The given\n * angle is the vertical angle of the frustum, and the horizontal angle is\n * determined to produce the given aspect ratio. The arguments near and far are\n * the distances to the near and far clipping planes. Note that near and far\n * are not z coordinates, but rather they are distances along the negative\n * z-axis. The matrix generated sends the viewing frustum to the unit box.\n * We assume a unit box extending from -1 to 1 in the x and y dimensions and\n * from 1 (at -zNear) to 0 (at -zFar) in the z dimension.\n *\n * @param fieldOfViewYInRadians - The camera angle from top to bottom (in radians).\n * @param aspect - The aspect ratio width / height.\n * @param zNear - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param zFar - The depth (negative z coordinate)\n * of the far clipping plane. (default = Infinity)\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The perspective matrix.\n */function perspectiveReverseZ(fieldOfViewYInRadians: number, aspect: number, zNear: number, zFar = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const f = 1 / Math.tan(fieldOfViewYInRadians * 0.5);\n\n newDst[ 0] = f / aspect;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n\n newDst[ 4] = 0;\n newDst[ 5] = f;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n\n newDst[ 8] = 0;\n newDst[ 9] = 0;\n newDst[11] = -1;\n\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (zFar === Infinity) {\n newDst[10] = 0;\n newDst[14] = zNear;\n } else {\n const rangeInv = 1 / (zFar - zNear);\n newDst[10] = zNear * rangeInv;\n newDst[14] = zFar * zNear * rangeInv;\n }\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 orthogonal transformation matrix that transforms from\n * the given the left, right, bottom, and top dimensions to -1 +1 in x, and y\n * and 0 to +1 in z.\n * @param left - Left side of the near clipping plane viewport.\n * @param right - Right side of the near clipping plane viewport.\n * @param bottom - Bottom of the near clipping plane viewport.\n * @param top - Top of the near clipping plane viewport.\n * @param near - The depth (negative z coordinate)\n * of the near clipping plane.\n * @param far - The depth (negative z coordinate)\n * of the far clipping plane.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The orthographic projection matrix.\n */\nfunction ortho(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[0] = 2 / (right - left);\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n newDst[4] = 0;\n newDst[5] = 2 / (top - bottom);\n newDst[6] = 0;\n newDst[7] = 0;\n\n newDst[8] = 0;\n newDst[9] = 0;\n newDst[10] = 1 / (near - far);\n newDst[11] = 0;\n\n newDst[12] = (right + left) / (left - right);\n newDst[13] = (top + bottom) / (bottom - top);\n newDst[14] = near / (near - far);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustum(left: number, right: number, bottom: number, top: number, near: number, far: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n const dz = (near - far);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[10] = far / dz;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = near * far / dz;\n newDst[15] = 0;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 reverse-z perspective transformation matrix given the left, right,\n * top, bottom, near and far clipping planes. The arguments define a frustum\n * extending in the negative z direction. The arguments near and far are the\n * distances to the near and far clipping planes. Note that near and far are not\n * z coordinates, but rather they are distances along the negative z-axis. The\n * matrix generated sends the viewing frustum to the unit box. We assume a unit\n * box extending from -1 to 1 in the x and y dimensions and from 1 (-near) to 0 (-far) in the z\n * dimension.\n * @param left - The x coordinate of the left plane of the box.\n * @param right - The x coordinate of the right plane of the box.\n * @param bottom - The y coordinate of the bottom plane of the box.\n * @param top - The y coordinate of the right plane of the box.\n * @param near - The negative z coordinate of the near plane of the box.\n * @param far - The negative z coordinate of the far plane of the box.\n * @param dst - Output matrix. If not passed a new one is created.\n * @returns The perspective projection matrix.\n */\nfunction frustumReverseZ(left: number, right: number, bottom: number, top: number, near: number, far = Infinity, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const dx = (right - left);\n const dy = (top - bottom);\n\n newDst[ 0] = 2 * near / dx;\n newDst[ 1] = 0;\n newDst[ 2] = 0;\n newDst[ 3] = 0;\n newDst[ 4] = 0;\n newDst[ 5] = 2 * near / dy;\n newDst[ 6] = 0;\n newDst[ 7] = 0;\n newDst[ 8] = (left + right) / dx;\n newDst[ 9] = (top + bottom) / dy;\n newDst[11] = -1;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[15] = 0;\n\n if (far === Infinity) {\n newDst[10] = 0;\n newDst[14] = near;\n } else {\n const rangeInv = 1 / (far - near);\n newDst[10] = near * rangeInv;\n newDst[14] = far * near * rangeInv;\n }\n\n return newDst;\n}\n\nconst xAxis = vec3.create();\nconst yAxis = vec3.create();\nconst zAxis = vec3.create();\n\n/**\n * Computes a 4-by-4 aim transformation.\n *\n * This is a matrix which positions an object aiming down positive Z.\n * toward the target.\n *\n * Note: this is **NOT** the inverse of lookAt as lookAt looks at negative Z.\n *\n * @param position - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction aim(position: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(target, position, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = position[0]; newDst[13] = position[1]; newDst[14] = position[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 camera aim transformation.\n *\n * This is a matrix which positions an object aiming down negative Z.\n * toward the target.\n *\n * Note: this is the inverse of `lookAt`\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The aim matrix.\n */\nfunction cameraAim(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = xAxis[1]; newDst[ 2] = xAxis[2]; newDst[ 3] = 0;\n newDst[ 4] = yAxis[0]; newDst[ 5] = yAxis[1]; newDst[ 6] = yAxis[2]; newDst[ 7] = 0;\n newDst[ 8] = zAxis[0]; newDst[ 9] = zAxis[1]; newDst[10] = zAxis[2]; newDst[11] = 0;\n newDst[12] = eye[0]; newDst[13] = eye[1]; newDst[14] = eye[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Computes a 4-by-4 view transformation.\n *\n * This is a view matrix which transforms all other objects\n * to be in the space of the view defined by the parameters.\n *\n * @param eye - The position of the object.\n * @param target - The position meant to be aimed at.\n * @param up - A vector pointing up.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The look-at matrix.\n */\nfunction lookAt(eye: Vec3Arg, target: Vec3Arg, up: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n vec3.normalize(vec3.subtract(eye, target, zAxis), zAxis);\n vec3.normalize(vec3.cross(up, zAxis, xAxis), xAxis);\n vec3.normalize(vec3.cross(zAxis, xAxis, yAxis), yAxis);\n\n newDst[ 0] = xAxis[0]; newDst[ 1] = yAxis[0]; newDst[ 2] = zAxis[0]; newDst[ 3] = 0;\n newDst[ 4] = xAxis[1]; newDst[ 5] = yAxis[1]; newDst[ 6] = zAxis[1]; newDst[ 7] = 0;\n newDst[ 8] = xAxis[2]; newDst[ 9] = yAxis[2]; newDst[10] = zAxis[2]; newDst[11] = 0;\n\n newDst[12] = -(xAxis[0] * eye[0] + xAxis[1] * eye[1] + xAxis[2] * eye[2]);\n newDst[13] = -(yAxis[0] * eye[0] + yAxis[1] * eye[1] + yAxis[2] * eye[2]);\n newDst[14] = -(zAxis[0] * eye[0] + zAxis[1] * eye[1] + zAxis[2] * eye[2]);\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which translates by the given vector v.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translation matrix.\n */\nfunction translation(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = v[0]; newDst[13] = v[1]; newDst[14] = v[2]; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Translates the given 4-by-4 matrix by the given vector v.\n * @param m - The matrix.\n * @param v - The vector by\n * which to translate.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The translated matrix.\n */\nfunction translate(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const m30 = m[3 * 4 + 0];\n const m31 = m[3 * 4 + 1];\n const m32 = m[3 * 4 + 2];\n const m33 = m[3 * 4 + 3];\n\n if (m !== newDst) {\n newDst[ 0] = m00;\n newDst[ 1] = m01;\n newDst[ 2] = m02;\n newDst[ 3] = m03;\n newDst[ 4] = m10;\n newDst[ 5] = m11;\n newDst[ 6] = m12;\n newDst[ 7] = m13;\n newDst[ 8] = m20;\n newDst[ 9] = m21;\n newDst[10] = m22;\n newDst[11] = m23;\n }\n\n newDst[12] = m00 * v0 + m10 * v1 + m20 * v2 + m30;\n newDst[13] = m01 * v0 + m11 * v1 + m21 * v2 + m31;\n newDst[14] = m02 * v0 + m12 * v1 + m22 * v2 + m32;\n newDst[15] = m03 * v0 + m13 * v1 + m23 * v2 + m33;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationX(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = 1; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = c; newDst[ 6] = s; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = -s; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the x-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateX(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[4] = c * m10 + s * m20;\n newDst[5] = c * m11 + s * m21;\n newDst[6] = c * m12 + s * m22;\n newDst[7] = c * m13 + s * m23;\n newDst[8] = c * m20 - s * m10;\n newDst[9] = c * m21 - s * m11;\n newDst[10] = c * m22 - s * m12;\n newDst[11] = c * m23 - s * m13;\n\n if (m !== newDst) {\n newDst[ 0] = m[ 0];\n newDst[ 1] = m[ 1];\n newDst[ 2] = m[ 2];\n newDst[ 3] = m[ 3];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationY(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = 0; newDst[ 2] = -s; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = 1; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = s; newDst[ 9] = 0; newDst[10] = c; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the y-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateY(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m20 = m[2 * 4 + 0];\n const m21 = m[2 * 4 + 1];\n const m22 = m[2 * 4 + 2];\n const m23 = m[2 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 - s * m20;\n newDst[ 1] = c * m01 - s * m21;\n newDst[ 2] = c * m02 - s * m22;\n newDst[ 3] = c * m03 - s * m23;\n newDst[ 8] = c * m20 + s * m00;\n newDst[ 9] = c * m21 + s * m01;\n newDst[10] = c * m22 + s * m02;\n newDst[11] = c * m23 + s * m03;\n\n if (m !== newDst) {\n newDst[ 4] = m[ 4];\n newDst[ 5] = m[ 5];\n newDst[ 6] = m[ 6];\n newDst[ 7] = m[ 7];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotation matrix.\n */\nfunction rotationZ(angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c; newDst[ 1] = s; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = -s; newDst[ 5] = c; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = 1; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the z-axis by the given\n * angle.\n * @param m - The matrix.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction rotateZ(m: Mat4Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const m00 = m[0 * 4 + 0];\n const m01 = m[0 * 4 + 1];\n const m02 = m[0 * 4 + 2];\n const m03 = m[0 * 4 + 3];\n const m10 = m[1 * 4 + 0];\n const m11 = m[1 * 4 + 1];\n const m12 = m[1 * 4 + 2];\n const m13 = m[1 * 4 + 3];\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n\n newDst[ 0] = c * m00 + s * m10;\n newDst[ 1] = c * m01 + s * m11;\n newDst[ 2] = c * m02 + s * m12;\n newDst[ 3] = c * m03 + s * m13;\n newDst[ 4] = c * m10 - s * m00;\n newDst[ 5] = c * m11 - s * m01;\n newDst[ 6] = c * m12 - s * m02;\n newDst[ 7] = c * m13 - s * m03;\n\n if (m !== newDst) {\n newDst[ 8] = m[ 8];\n newDst[ 9] = m[ 9];\n newDst[10] = m[10];\n newDst[11] = m[11];\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nfunction axisRotation(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n newDst[ 0] = xx + (1 - xx) * c;\n newDst[ 1] = x * y * oneMinusCosine + z * s;\n newDst[ 2] = x * z * oneMinusCosine - y * s;\n newDst[ 3] = 0;\n newDst[ 4] = x * y * oneMinusCosine - z * s;\n newDst[ 5] = yy + (1 - yy) * c;\n newDst[ 6] = y * z * oneMinusCosine + x * s;\n newDst[ 7] = 0;\n newDst[ 8] = x * z * oneMinusCosine + y * s;\n newDst[ 9] = y * z * oneMinusCosine - x * s;\n newDst[10] = zz + (1 - zz) * c;\n newDst[11] = 0;\n newDst[12] = 0;\n newDst[13] = 0;\n newDst[14] = 0;\n newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which rotates around the given axis by the given\n * angle. (same as axisRotation)\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns A matrix which rotates angle radians\n * around the axis.\n */\nconst rotation = axisRotation;\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle.\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nfunction axisRotate(m: Mat4Arg, axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n let x = axis[0];\n let y = axis[1];\n let z = axis[2];\n const n = Math.sqrt(x * x + y * y + z * z);\n x /= n;\n y /= n;\n z /= n;\n const xx = x * x;\n const yy = y * y;\n const zz = z * z;\n const c = Math.cos(angleInRadians);\n const s = Math.sin(angleInRadians);\n const oneMinusCosine = 1 - c;\n\n const r00 = xx + (1 - xx) * c;\n const r01 = x * y * oneMinusCosine + z * s;\n const r02 = x * z * oneMinusCosine - y * s;\n const r10 = x * y * oneMinusCosine - z * s;\n const r11 = yy + (1 - yy) * c;\n const r12 = y * z * oneMinusCosine + x * s;\n const r20 = x * z * oneMinusCosine + y * s;\n const r21 = y * z * oneMinusCosine - x * s;\n const r22 = zz + (1 - zz) * c;\n\n const m00 = m[0];\n const m01 = m[1];\n const m02 = m[2];\n const m03 = m[3];\n const m10 = m[4];\n const m11 = m[5];\n const m12 = m[6];\n const m13 = m[7];\n const m20 = m[8];\n const m21 = m[9];\n const m22 = m[10];\n const m23 = m[11];\n\n newDst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;\n newDst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;\n newDst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;\n newDst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;\n newDst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;\n newDst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;\n newDst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;\n newDst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;\n newDst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;\n newDst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;\n newDst[10] = r20 * m02 + r21 * m12 + r22 * m22;\n newDst[11] = r20 * m03 + r21 * m13 + r22 * m23;\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Rotates the given 4-by-4 matrix around the given axis by the\n * given angle. (same as rotate)\n * @param m - The matrix.\n * @param axis - The axis\n * about which to rotate.\n * @param angleInRadians - The angle by which to rotate (in radians).\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The rotated matrix.\n */\nconst rotate = axisRotate;\n\n/**\n * Creates a 4-by-4 matrix which scales in each dimension by an amount given by\n * the corresponding entry in the given vector; assumes the vector has three\n * entries.\n * @param v - A vector of\n * three entries specifying the factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction scaling(v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = v[0]; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = v[1]; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = v[2]; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by an amount\n * given by the corresponding entry in the given vector; assumes the vector has\n * three entries.\n * @param m - The matrix to be modified.\n * @param v - A vector of three entries specifying the\n * factor by which to scale in each dimension.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction scale(m: Mat4Arg, v: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n\n newDst[ 0] = v0 * m[0 * 4 + 0];\n newDst[ 1] = v0 * m[0 * 4 + 1];\n newDst[ 2] = v0 * m[0 * 4 + 2];\n newDst[ 3] = v0 * m[0 * 4 + 3];\n newDst[ 4] = v1 * m[1 * 4 + 0];\n newDst[ 5] = v1 * m[1 * 4 + 1];\n newDst[ 6] = v1 * m[1 * 4 + 2];\n newDst[ 7] = v1 * m[1 * 4 + 3];\n newDst[ 8] = v2 * m[2 * 4 + 0];\n newDst[ 9] = v2 * m[2 * 4 + 1];\n newDst[10] = v2 * m[2 * 4 + 2];\n newDst[11] = v2 * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\n/**\n * Creates a 4-by-4 matrix which scales a uniform amount in each dimension.\n * @param s - the amount to scale\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaling matrix.\n */\nfunction uniformScaling(s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s; newDst[ 1] = 0; newDst[ 2] = 0; newDst[ 3] = 0;\n newDst[ 4] = 0; newDst[ 5] = s; newDst[ 6] = 0; newDst[ 7] = 0;\n newDst[ 8] = 0; newDst[ 9] = 0; newDst[10] = s; newDst[11] = 0;\n newDst[12] = 0; newDst[13] = 0; newDst[14] = 0; newDst[15] = 1;\n\n return newDst;\n}\n\n/**\n * Scales the given 4-by-4 matrix in each dimension by a uniform scale.\n * @param m - The matrix to be modified.\n * @param s - The amount to scale.\n * @param dst - matrix to hold result. If not passed a new one is created.\n * @returns The scaled matrix.\n */\nfunction uniformScale(m: Mat4Arg, s: number, dst?: T) {\n const newDst = (dst ?? new Ctor(16)) as T;\n\n newDst[ 0] = s * m[0 * 4 + 0];\n newDst[ 1] = s * m[0 * 4 + 1];\n newDst[ 2] = s * m[0 * 4 + 2];\n newDst[ 3] = s * m[0 * 4 + 3];\n newDst[ 4] = s * m[1 * 4 + 0];\n newDst[ 5] = s * m[1 * 4 + 1];\n newDst[ 6] = s * m[1 * 4 + 2];\n newDst[ 7] = s * m[1 * 4 + 3];\n newDst[ 8] = s * m[2 * 4 + 0];\n newDst[ 9] = s * m[2 * 4 + 1];\n newDst[10] = s * m[2 * 4 + 2];\n newDst[11] = s * m[2 * 4 + 3];\n\n if (m !== newDst) {\n newDst[12] = m[12];\n newDst[13] = m[13];\n newDst[14] = m[14];\n newDst[15] = m[15];\n }\n\n return newDst;\n}\n\nreturn {\n create,\n set,\n fromMat3,\n fromQuat,\n negate,\n copy,\n clone,\n equalsApproximately,\n equals,\n identity,\n transpose,\n inverse,\n determinant,\n invert,\n multiply,\n mul,\n setTranslation,\n getTranslation,\n getAxis,\n setAxis,\n getScaling,\n perspective,\n perspectiveReverseZ,\n ortho,\n frustum,\n frustumReverseZ,\n aim,\n cameraAim,\n lookAt,\n translation,\n translate,\n rotationX,\n rotateX,\n rotationY,\n rotateY,\n rotationZ,\n rotateZ,\n axisRotation,\n rotation,\n axisRotate,\n rotate,\n scaling,\n scale,\n uniformScaling,\n uniformScale,\n};\n\n}\n\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\nexport function getAPI(Ctor: Mat4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { QuatArg, QuatType } from './quat';\nimport { Mat3Arg } from './mat3.js';\nimport { Mat4Arg } from './mat4.js';\nimport { Vec3Arg } from './vec3.js';\nimport { getAPI as getVec3API } from './vec3-impl';\nimport { BaseArgType } from './types';\n\nexport { QuatArg, QuatType };\n\ntype QuatCtor = new (n: number) => T;\n\nexport type RotationOrder = 'xyz' | 'xzy' | 'yxz' | 'yzx' | 'zxy' | 'zyx';\n\n/**\n * Generates am typed API for Qud\n * */\nfunction getAPIImpl(Ctor: QuatCtor) {\n const vec3 = getVec3API(Ctor);\n\n/**\n * Creates a quat4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a Quat; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Quat\n * Also see {@link quat.create} and {@link quat.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Sets a quaternion from the given angle and axis,\n * then returns it.\n *\n * @param axis - the axis to rotate around\n * @param angleInRadians - the angle\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The quaternion that represents the given axis and angle\n **/\nfunction fromAxisAngle(axis: Vec3Arg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n const s = Math.sin(halfAngle);\n\n newDst[0] = s * axis[0];\n newDst[1] = s * axis[1];\n newDst[2] = s * axis[2];\n newDst[3] = Math.cos(halfAngle);\n\n return newDst;\n}\n\n/**\n * Gets the rotation axis and angle\n * @param q - quaternion to compute from\n * @param dst - Vec3 to hold result. If not passed in a new one is created.\n * @return angle and axis\n */\nfunction toAxisAngle(q: QuatArg, dst?: T): { angle: number, axis: T } {\n const newDst = (dst ?? vec3.create(3)) as T;\n\n const angle = Math.acos(q[3]) * 2;\n const s = Math.sin(angle * 0.5);\n if (s > utils.EPSILON) {\n newDst[0] = q[0] / s;\n newDst[1] = q[1] / s;\n newDst[2] = q[2] / s;\n } else {\n newDst[0] = 1;\n newDst[1] = 0;\n newDst[2] = 0;\n }\n\n return { angle, axis: newDst };\n}\n\n/**\n * Returns the angle in degrees between two rotations a and b.\n * @param a - quaternion a\n * @param b - quaternion b\n * @return angle in radians between the two quaternions\n */\nfunction angle(a: QuatArg, b: QuatArg) {\n const d = dot(a, b);\n return Math.acos(2 * d * d - 1);\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction multiply(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n const bx = b[0];\n const by = b[1];\n const bz = b[2];\n const bw = b[3];\n\n newDst[0] = ax * bw + aw * bx + ay * bz - az * by;\n newDst[1] = ay * bw + aw * by + az * bx - ax * bz;\n newDst[2] = az * bw + aw * bz + ax * by - ay * bx;\n newDst[3] = aw * bw - ax * bx - ay * by - az * bz;\n\n return newDst;\n}\n\n/**\n * Multiplies two quaternions\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nconst mul = multiply;\n\n/**\n * Rotates the given quaternion around the X axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateX(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bx = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qw * bx;\n newDst[1] = qy * bw + qz * bx;\n newDst[2] = qz * bw - qy * bx;\n newDst[3] = qw * bw - qx * bx;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Y axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateY(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const by = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw - qz * by;\n newDst[1] = qy * bw + qw * by;\n newDst[2] = qz * bw + qx * by;\n newDst[3] = qw * bw - qy * by;\n\n return newDst;\n}\n\n/**\n * Rotates the given quaternion around the Z axis by the given angle.\n * @param q - quaternion to rotate\n * @param angleInRadians - The angle by which to rotate\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction rotateZ(q: QuatArg, angleInRadians: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const halfAngle = angleInRadians * 0.5;\n\n const qx = q[0];\n const qy = q[1];\n const qz = q[2];\n const qw = q[3];\n\n const bz = Math.sin(halfAngle);\n const bw = Math.cos(halfAngle);\n\n newDst[0] = qx * bw + qy * bz;\n newDst[1] = qy * bw - qx * bz;\n newDst[2] = qz * bw + qw * bz;\n newDst[3] = qw * bw - qz * bz;\n\n return newDst;\n}\n\n/**\n * Spherically linear interpolate between two quaternions\n *\n * @param a - starting value\n * @param b - ending value\n * @param t - value where 0 = a and 1 = b\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the result of a * b\n */\nfunction slerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const ax = a[0];\n const ay = a[1];\n const az = a[2];\n const aw = a[3];\n\n let bx = b[0];\n let by = b[1];\n let bz = b[2];\n let bw = b[3];\n\n let cosOmega = ax * bx + ay * by + az * bz + aw * bw;\n\n if (cosOmega < 0) {\n cosOmega = -cosOmega;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n }\n\n let scale0;\n let scale1;\n\n if (1.0 - cosOmega > utils.EPSILON) {\n const omega = Math.acos(cosOmega);\n const sinOmega = Math.sin(omega);\n scale0 = Math.sin((1 - t) * omega) / sinOmega;\n scale1 = Math.sin(t * omega) / sinOmega;\n } else {\n scale0 = 1.0 - t;\n scale1 = t;\n }\n\n newDst[0] = scale0 * ax + scale1 * bx;\n newDst[1] = scale0 * ay + scale1 * by;\n newDst[2] = scale0 * az + scale1 * bz;\n newDst[3] = scale0 * aw + scale1 * bw;\n\n return newDst;\n}\n\n/**\n * Compute the inverse of a quaternion\n *\n * @param q - quaternion to compute the inverse of\n * @returns A quaternion that is the result of a * b\n */\nfunction inverse(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const a0 = q[0];\n const a1 = q[1];\n const a2 = q[2];\n const a3 = q[3];\n\n const dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n const invDot = dot ? 1 / dot : 0;\n\n newDst[0] = -a0 * invDot;\n newDst[1] = -a1 * invDot;\n newDst[2] = -a2 * invDot;\n newDst[3] = a3 * invDot;\n\n return newDst;\n}\n\n/**\n * Compute the conjugate of a quaternion\n * For quaternions with a magnitude of 1 (a unit quaternion)\n * this returns the same as the inverse but is faster to calculate.\n *\n * @param q - quaternion to compute the conjugate of.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The conjugate of q\n */\nfunction conjugate(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -q[0];\n newDst[1] = -q[1];\n newDst[2] = -q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given rotation matrix.\n *\n * The created quaternion is not normalized.\n *\n * @param m - rotation matrix\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction fromMat(m: Mat3Arg | Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n /*\n 0 1 2\n 3 4 5\n 6 7 8\n\n 0 1 2\n 4 5 6\n 8 9 10\n */\n\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n const trace = m[0] + m[5] + m[10];\n\n if (trace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n const root = Math.sqrt(trace + 1); // 2w\n newDst[3] = 0.5 * root;\n const invRoot = 0.5 / root; // 1/(4w)\n\n newDst[0] = (m[6] - m[9]) * invRoot;\n newDst[1] = (m[8] - m[2]) * invRoot;\n newDst[2] = (m[1] - m[4]) * invRoot;\n } else {\n // |w| <= 1/2\n let i = 0;\n\n if (m[5] > m[0]) {\n i = 1;\n }\n if (m[10] > m[i * 4 + i]) {\n i = 2;\n }\n\n const j = (i + 1) % 3;\n const k = (i + 2) % 3;\n\n const root = Math.sqrt(m[i * 4 + i] - m[j * 4 + j] - m[k * 4 + k] + 1.0);\n newDst[i] = 0.5 * root;\n\n const invRoot = 0.5 / root;\n\n newDst[3] = (m[j * 4 + k] - m[k * 4 + j]) * invRoot;\n newDst[j] = (m[j * 4 + i] + m[i * 4 + j]) * invRoot;\n newDst[k] = (m[k * 4 + i] + m[i * 4 + k]) * invRoot;\n }\n\n return newDst;\n}\n\n/**\n * Creates a quaternion from the given euler angle x, y, z using the provided intrinsic order for the conversion.\n *\n * @param xAngleInRadians - angle to rotate around X axis in radians.\n * @param yAngleInRadians - angle to rotate around Y axis in radians.\n * @param zAngleInRadians - angle to rotate around Z axis in radians.\n * @param order - order to apply euler angles\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion representing the same rotation as the euler angles applied in the given order\n */\nfunction fromEuler(\n xAngleInRadians: number,\n yAngleInRadians: number,\n zAngleInRadians: number,\n order: RotationOrder,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const xHalfAngle = xAngleInRadians * 0.5;\n const yHalfAngle = yAngleInRadians * 0.5;\n const zHalfAngle = zAngleInRadians * 0.5;\n\n const sx = Math.sin(xHalfAngle);\n const cx = Math.cos(xHalfAngle);\n const sy = Math.sin(yHalfAngle);\n const cy = Math.cos(yHalfAngle);\n const sz = Math.sin(zHalfAngle);\n const cz = Math.cos(zHalfAngle);\n\n switch (order) {\n case 'xyz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'xzy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yxz':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz - sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n case 'yzx':\n newDst[0] = sx * cy * cz + cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zxy':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz + sx * sy * cz;\n newDst[3] = cx * cy * cz - sx * sy * sz;\n break;\n\n case 'zyx':\n newDst[0] = sx * cy * cz - cx * sy * sz;\n newDst[1] = cx * sy * cz + sx * cy * sz;\n newDst[2] = cx * cy * sz - sx * sy * cz;\n newDst[3] = cx * cy * cz + sx * sy * sz;\n break;\n\n default:\n throw new Error(`Unknown rotation order: ${order}`);\n }\n\n return newDst;\n}\n\n/**\n * Copies a quaternion. (same as {@link quat.clone})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is a copy of q\n */\nfunction copy(q: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = q[0];\n newDst[1] = q[1];\n newDst[2] = q[2];\n newDst[3] = q[3];\n\n return newDst;\n}\n\n/**\n * Clones a quaternion. (same as {@link quat.copy})\n * Also see {@link quat.create} and {@link quat.set}\n * @param q - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A copy of q.\n */\nconst clone = copy;\n\n/**\n * Adds two quaternions; assumes a and b have the same dimension.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the sum of a and b.\n */\nfunction add(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nfunction subtract(a: QuatArg, b: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two quaternions.\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns A quaternion that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Multiplies a quaternion by a scalar.\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction mulScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a quaternion by a scalar. (same as mulScalar)\n * @param v - The quaternion.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The scaled quaternion.\n */\nfunction divScalar(v: QuatArg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Computes the dot product of two quaternions\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns dot product\n */\nfunction dot(a: QuatArg, b: QuatArg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Performs linear interpolation on two quaternions.\n * Given quaternions a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @param t - Interpolation coefficient.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: QuatArg, b: QuatArg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Computes the length of quaternion\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nfunction length(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of quaternion (same as length)\n * @param v - quaternion.\n * @returns length of quaternion.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of quaternion\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nfunction lengthSq(v: QuatArg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of quaternion (same as lengthSq)\n * @param v - quaternion.\n * @returns square of the length of quaternion.\n */\nconst lenSq = lengthSq;\n\n/**\n * Divides a quaternion by its Euclidean length and returns the quotient.\n * @param v - The quaternion.\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns The normalized quaternion.\n */\nfunction normalize(v: QuatArg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n }\n\n return newDst;\n}\n\n/**\n * Check if 2 quaternions are approximately equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are approximately equal\n */\nfunction equalsApproximately(a: QuatArg, b: QuatArg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 quaternions are exactly equal\n * @param a - Operand quaternion.\n * @param b - Operand quaternion.\n * @returns true if quaternions are exactly equal\n */\nfunction equals(a: QuatArg, b: QuatArg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Creates an identity quaternion\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns an identity quaternion\n */\nfunction identity(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n}\n\nconst tempVec3 = vec3.create();\nconst xUnitVec3 = vec3.create();\nconst yUnitVec3 = vec3.create();\n\n/**\n * Computes a quaternion to represent the shortest rotation from one vector to another.\n *\n * @param aUnit - the start vector\n * @param bUnit - the end vector\n * @param dst - quaternion to hold result. If not passed in a new one is created.\n * @returns the result\n */\nfunction rotationTo(aUnit: Vec3Arg, bUnit: Vec3Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const dot = vec3.dot(aUnit, bUnit);\n if (dot < -0.999999) {\n vec3.cross(xUnitVec3, aUnit, tempVec3);\n if (vec3.len(tempVec3) < 0.000001) {\n vec3.cross(yUnitVec3, aUnit, tempVec3);\n }\n\n vec3.normalize(tempVec3, tempVec3);\n fromAxisAngle(tempVec3, Math.PI, newDst);\n\n return newDst;\n } else if (dot > 0.999999) {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 1;\n\n return newDst;\n } else {\n vec3.cross(aUnit, bUnit, tempVec3);\n\n newDst[0] = tempVec3[0];\n newDst[1] = tempVec3[1];\n newDst[2] = tempVec3[2];\n newDst[3] = 1 + dot;\n\n return normalize(newDst, newDst);\n }\n}\n\nconst tempQuat1 = new Ctor(4);\nconst tempQuat2 = new Ctor(4);\n\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param a - the first quaternion\n * @param b - the second quaternion\n * @param c - the third quaternion\n * @param d - the fourth quaternion\n * @param t - Interpolation coefficient 0 to 1\n * @returns result\n */\nfunction sqlerp(\n a: QuatArg,\n b: QuatArg,\n c: QuatArg,\n d: QuatArg,\n t: number,\n dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n slerp(a, d, t, tempQuat1);\n slerp(b, c, t, tempQuat2);\n slerp(tempQuat1, tempQuat2, 2 * t * (1 - t), newDst);\n\n return newDst;\n}\n\nreturn {\n create,\n fromValues,\n set,\n fromAxisAngle,\n toAxisAngle,\n angle,\n multiply,\n mul,\n rotateX,\n rotateY,\n rotateZ,\n slerp,\n inverse,\n conjugate,\n fromMat,\n fromEuler,\n copy,\n clone,\n add,\n subtract,\n sub,\n mulScalar,\n scale,\n divScalar,\n dot,\n lerp,\n length,\n len,\n lengthSq,\n lenSq,\n normalize,\n equalsApproximately,\n equals,\n identity,\n rotationTo,\n sqlerp,\n};\n\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Quat4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Quat4`. In other words you can do this\n *\n * const v = quat4.cross(v1, v2); // Creates a new Quat4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = quat4.create();\n * quat4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * quat4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: QuatCtor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n","/*\n * Copyright 2022 Gregg Tavares\n *\n * Permission is hereby granted, free of charge, to any person obtaining a\n * copy of this software and associated documentation files (the \"Software\"),\n * to deal in the Software without restriction, including without limitation\n * the rights to use, copy, modify, merge, publish, distribute, sublicense,\n * and/or sell copies of the Software, and to permit persons to whom the\n * Software is furnished to do so, subject to the following conditions:\n *\n * The above copyright notice and this permission notice shall be included in\n * all copies or substantial portions of the Software.\n *\n * THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL\n * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING\n * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER\n * DEALINGS IN THE SOFTWARE.\n */\nimport * as utils from './utils.js';\nimport { Vec4Arg, Vec4Type } from './vec4';\nimport { Mat4Arg } from './mat4';\nimport { BaseArgType } from './types';\n\nexport { Vec4Arg, Vec4Type };\n\ntype Vec4Ctor = new (n: number) => T;\n\n/**\n * Generates am typed API for Vec4\n * */\nfunction getAPIImpl(Ctor: Vec4Ctor) {\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values.\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param w - Initial w value.\n * @returns the created vector\n */\nfunction create(x?: number, y?: number, z?: number, w?: number) {\n const newDst = new Ctor(4);\n if (x !== undefined) {\n newDst[0] = x;\n if (y !== undefined) {\n newDst[1] = y;\n if (z !== undefined) {\n newDst[2] = z;\n if (w !== undefined) {\n newDst[3] = w;\n }\n }\n }\n }\n return newDst;\n}\n\n/**\n * Creates a vec4; may be called with x, y, z to set initial values. (same as create)\n * @param x - Initial x value.\n * @param y - Initial y value.\n * @param z - Initial z value.\n * @param z - Initial w value.\n * @returns the created vector\n */\nconst fromValues = create;\n\n/**\n * Sets the values of a Vec4\n * Also see {@link vec4.create} and {@link vec4.copy}\n *\n * @param x first value\n * @param y second value\n * @param z third value\n * @param w fourth value\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector with its elements set.\n */\nfunction set(x: number, y: number, z: number, w: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = x;\n newDst[1] = y;\n newDst[2] = z;\n newDst[3] = w;\n\n return newDst;\n}\n\n/**\n * Applies Math.ceil to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the ceil of each element of v.\n */\nfunction ceil(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.ceil(v[0]);\n newDst[1] = Math.ceil(v[1]);\n newDst[2] = Math.ceil(v[2]);\n newDst[3] = Math.ceil(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.floor to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the floor of each element of v.\n */\nfunction floor(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.floor(v[0]);\n newDst[1] = Math.floor(v[1]);\n newDst[2] = Math.floor(v[2]);\n newDst[3] = Math.floor(v[3]);\n\n return newDst;\n}\n\n/**\n * Applies Math.round to each element of vector\n * @param v - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the round of each element of v.\n */\nfunction round(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.round(v[0]);\n newDst[1] = Math.round(v[1]);\n newDst[2] = Math.round(v[2]);\n newDst[3] = Math.round(v[3]);\n\n return newDst;\n}\n\n/**\n * Clamp each element of vector between min and max\n * @param v - Operand vector.\n * @param max - Min value, default 0\n * @param min - Max value, default 1\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that the clamped value of each element of v.\n */\nfunction clamp(v: Vec4Arg, min = 0, max = 1, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(max, Math.max(min, v[0]));\n newDst[1] = Math.min(max, Math.max(min, v[1]));\n newDst[2] = Math.min(max, Math.max(min, v[2]));\n newDst[3] = Math.min(max, Math.max(min, v[3]));\n\n return newDst;\n}\n\n/**\n * Adds two vectors; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a and b.\n */\nfunction add(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0];\n newDst[1] = a[1] + b[1];\n newDst[2] = a[2] + b[2];\n newDst[3] = a[3] + b[3];\n\n return newDst;\n}\n\n/**\n * Adds two vectors, scaling the 2nd; assumes a and b have the same dimension.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param scale - Amount to scale b\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the sum of a + b * scale.\n */\nfunction addScaled(a: Vec4Arg, b: Vec4Arg, scale: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + b[0] * scale;\n newDst[1] = a[1] + b[1] * scale;\n newDst[2] = a[2] + b[2] * scale;\n newDst[3] = a[3] + b[3] * scale;\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nfunction subtract(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] - b[0];\n newDst[1] = a[1] - b[1];\n newDst[2] = a[2] - b[2];\n newDst[3] = a[3] - b[3];\n\n return newDst;\n}\n\n/**\n * Subtracts two vectors.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A vector that is the difference of a and b.\n */\nconst sub = subtract;\n\n/**\n * Check if 2 vectors are approximately equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are approximately equal\n */\nfunction equalsApproximately(a: Vec4Arg, b: Vec4Arg): boolean {\n return Math.abs(a[0] - b[0]) < utils.EPSILON &&\n Math.abs(a[1] - b[1]) < utils.EPSILON &&\n Math.abs(a[2] - b[2]) < utils.EPSILON &&\n Math.abs(a[3] - b[3]) < utils.EPSILON;\n}\n\n/**\n * Check if 2 vectors are exactly equal\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns true if vectors are exactly equal\n */\nfunction equals(a: Vec4Arg, b: Vec4Arg): boolean {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3];\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficient.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The linear interpolated result.\n */\nfunction lerp(a: Vec4Arg, b: Vec4Arg, t: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t * (b[0] - a[0]);\n newDst[1] = a[1] + t * (b[1] - a[1]);\n newDst[2] = a[2] + t * (b[2] - a[2]);\n newDst[3] = a[3] + t * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Performs linear interpolation on two vectors.\n * Given vectors a and b and interpolation coefficient vector t, returns\n * a + t * (b - a).\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param t - Interpolation coefficients vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns the linear interpolated result.\n */\nfunction lerpV(a: Vec4Arg, b: Vec4Arg, t: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] + t[0] * (b[0] - a[0]);\n newDst[1] = a[1] + t[1] * (b[1] - a[1]);\n newDst[2] = a[2] + t[2] * (b[2] - a[2]);\n newDst[3] = a[3] + t[3] * (b[3] - a[3]);\n\n return newDst;\n}\n\n/**\n * Return max values of two vectors.\n * Given vectors a and b returns\n * [max(a[0], b[0]), max(a[1], b[1]), max(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The max components vector.\n */\nfunction max(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.max(a[0], b[0]);\n newDst[1] = Math.max(a[1], b[1]);\n newDst[2] = Math.max(a[2], b[2]);\n newDst[3] = Math.max(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Return min values of two vectors.\n * Given vectors a and b returns\n * [min(a[0], b[0]), min(a[1], b[1]), min(a[2], b[2])].\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The min components vector.\n */\nfunction min(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = Math.min(a[0], b[0]);\n newDst[1] = Math.min(a[1], b[1]);\n newDst[2] = Math.min(a[2], b[2]);\n newDst[3] = Math.min(a[3], b[3]);\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction mulScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] * k;\n newDst[1] = v[1] * k;\n newDst[2] = v[2] * k;\n newDst[3] = v[3] * k;\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by a scalar. (same as mulScalar)\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nconst scale = mulScalar;\n\n/**\n * Divides a vector by a scalar.\n * @param v - The vector.\n * @param k - The scalar.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The scaled vector.\n */\nfunction divScalar(v: Vec4Arg, k: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0] / k;\n newDst[1] = v[1] / k;\n newDst[2] = v[2] / k;\n newDst[3] = v[3] / k;\n\n return newDst;\n}\n\n/**\n * Inverse a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nfunction inverse(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 1 / v[0];\n newDst[1] = 1 / v[1];\n newDst[2] = 1 / v[2];\n newDst[3] = 1 / v[3];\n\n return newDst;\n}\n\n/**\n * Invert a vector. (same as inverse)\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The inverted vector.\n */\nconst invert = inverse;\n\n/**\n * Computes the dot product of two vectors\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @returns dot product\n */\nfunction dot(a: Vec4Arg, b: Vec4Arg): number {\n return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]) + (a[3] * b[3]);\n}\n\n/**\n * Computes the length of vector\n * @param v - vector.\n * @returns length of vector.\n */\nfunction length(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n}\n\n/**\n * Computes the length of vector (same as length)\n * @param v - vector.\n * @returns length of vector.\n */\nconst len = length;\n\n/**\n * Computes the square of the length of vector\n * @param v - vector.\n * @returns square of the length of vector.\n */\nfunction lengthSq(v: Vec4Arg): number {\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n return v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3;\n}\n\n/**\n * Computes the square of the length of vector (same as lengthSq)\n * @param v - vector.\n * @returns square of the length of vector.\n */\nconst lenSq = lengthSq;\n\n/**\n * Computes the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nfunction distance(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return Math.sqrt(dx * dx + dy * dy + dz * dz + dw * dw);\n}\n\n/**\n * Computes the distance between 2 points (same as distance)\n * @param a - vector.\n * @param b - vector.\n * @returns distance between a and b\n */\nconst dist = distance;\n\n/**\n * Computes the square of the distance between 2 points\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nfunction distanceSq(a: Vec4Arg, b: Vec4Arg): number {\n const dx = a[0] - b[0];\n const dy = a[1] - b[1];\n const dz = a[2] - b[2];\n const dw = a[3] - b[3];\n return dx * dx + dy * dy + dz * dz + dw * dw;\n}\n\n/**\n * Computes the square of the distance between 2 points (same as distanceSq)\n * @param a - vector.\n * @param b - vector.\n * @returns square of the distance between a and b\n */\nconst distSq = distanceSq;\n\n/**\n * Divides a vector by its Euclidean length and returns the quotient.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The normalized vector.\n */\nfunction normalize(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const v0 = v[0];\n const v1 = v[1];\n const v2 = v[2];\n const v3 = v[3];\n const len = Math.sqrt(v0 * v0 + v1 * v1 + v2 * v2 + v3 * v3);\n\n if (len > 0.00001) {\n newDst[0] = v0 / len;\n newDst[1] = v1 / len;\n newDst[2] = v2 / len;\n newDst[3] = v3 / len;\n } else {\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n }\n\n return newDst;\n}\n\n/**\n * Negates a vector.\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns -v.\n */\nfunction negate(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = -v[0];\n newDst[1] = -v[1];\n newDst[2] = -v[2];\n newDst[3] = -v[3];\n\n return newDst;\n}\n\n/**\n * Copies a vector. (same as {@link vec4.clone})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nfunction copy(v: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = v[0];\n newDst[1] = v[1];\n newDst[2] = v[2];\n newDst[3] = v[3];\n\n return newDst;\n}\n\n/**\n * Clones a vector. (same as {@link vec4.copy})\n * Also see {@link vec4.create} and {@link vec4.set}\n * @param v - The vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns A copy of v.\n */\nconst clone = copy;\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nfunction multiply(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] * b[0];\n newDst[1] = a[1] * b[1];\n newDst[2] = a[2] * b[2];\n newDst[3] = a[3] * b[3];\n\n return newDst;\n}\n\n/**\n * Multiplies a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as mul)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of products of entries of a and b.\n */\nconst mul = multiply;\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length.\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nfunction divide(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = a[0] / b[0];\n newDst[1] = a[1] / b[1];\n newDst[2] = a[2] / b[2];\n newDst[3] = a[3] / b[3];\n\n return newDst;\n}\n\n/**\n * Divides a vector by another vector (component-wise); assumes a and\n * b have the same length. (same as divide)\n * @param a - Operand vector.\n * @param b - Operand vector.\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The vector of quotients of entries of a and b.\n */\nconst div = divide;\n\n/**\n * Zero's a vector\n * @param dst - vector to hold result. If not passed in a new one is created.\n * @returns The zeroed vector.\n */\nfunction zero(dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n newDst[0] = 0;\n newDst[1] = 0;\n newDst[2] = 0;\n newDst[3] = 0;\n\n return newDst;\n}\n\n\n/**\n * transform vec4 by 4x4 matrix\n * @param v - the vector\n * @param m - The matrix.\n * @param dst - optional vec4 to store result. If not passed a new one is created.\n * @returns the transformed vector\n */\nfunction transformMat4(v: Vec4Arg, m: Mat4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n const x = v[0];\n const y = v[1];\n const z = v[2];\n const w = v[3];\n\n newDst[0] = m[0] * x + m[4] * y + m[ 8] * z + m[12] * w;\n newDst[1] = m[1] * x + m[5] * y + m[ 9] * z + m[13] * w;\n newDst[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w;\n newDst[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w;\n\n return newDst;\n}\n\n\n/**\n * Treat a 4D vector as a direction and set it's length\n *\n * @param a The vec4 to lengthen\n * @param len The length of the resulting vector\n * @returns The lengthened vector\n */\nfunction setLength(a: Vec4Arg, len: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n normalize(a, newDst);\n return mulScalar(newDst, len, newDst);\n}\n\n/**\n * Ensure a vector is not longer than a max length\n *\n * @param a The vec4 to limit\n * @param maxLen The longest length of the resulting vector\n * @returns The vector, shortened to maxLen if it's too long\n */\nfunction truncate(a: Vec4Arg, maxLen: number, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n\n if (length(a) > maxLen) {\n return setLength(a, maxLen, newDst);\n }\n\n return copy(a, newDst);\n}\n\n/**\n * Return the vector exactly between 2 endpoint vectors\n *\n * @param a Endpoint 1\n * @param b Endpoint 2\n * @returns The vector exactly residing between endpoints 1 and 2\n */\nfunction midpoint(a: Vec4Arg, b: Vec4Arg, dst?: T) {\n const newDst = (dst ?? new Ctor(4)) as T;\n return lerp(a, b, 0.5, newDst);\n}\n\nreturn {\n create,\n fromValues,\n set,\n ceil,\n floor,\n round,\n clamp,\n add,\n addScaled,\n subtract,\n sub,\n equalsApproximately,\n equals,\n lerp,\n lerpV,\n max,\n min,\n mulScalar,\n scale,\n divScalar,\n inverse,\n invert,\n dot,\n length,\n len,\n lengthSq,\n lenSq,\n distance,\n dist,\n distanceSq,\n distSq,\n normalize,\n negate,\n copy,\n clone,\n multiply,\n mul,\n divide,\n div,\n zero,\n transformMat4,\n setLength,\n truncate,\n midpoint,\n};\n}\n\ntype API = ReturnType>;\n\nconst cache = new Map();\n\n/**\n *\n * Vec4 math functions.\n *\n * Almost all functions take an optional `newDst` argument. If it is not passed in the\n * functions will create a new `Vec4`. In other words you can do this\n *\n * const v = vec4.cross(v1, v2); // Creates a new Vec4 with the cross product of v1 x v2.\n *\n * or\n *\n * const v = vec4.create();\n * vec4.cross(v1, v2, v); // Puts the cross product of v1 x v2 in v\n *\n * The first style is often easier but depending on where it's used it generates garbage where\n * as there is almost never allocation with the second style.\n *\n * It is always safe to pass any vector as the destination. So for example\n *\n * vec4.cross(v1, v2, v1); // Puts the cross product of v1 x v2 in v1\n *\n */\nexport function getAPI(Ctor: Vec4Ctor) {\n let api = cache.get(Ctor);\n if (!api) {\n api = getAPIImpl(Ctor);\n cache.set(Ctor, api);\n }\n return api as API;\n}\n\n","/**\n * Some docs\n * @namespace wgpu-matrix\n */\nimport {BaseArgType, ZeroArray} from './types';\nimport {Mat3Arg, Mat3Type, getAPI as getMat3API} from './mat3-impl';\nimport {Mat4Arg, Mat4Type, getAPI as getMat4API} from './mat4-impl';\nimport {QuatArg, QuatType, getAPI as getQuatAPI, RotationOrder} from './quat-impl';\nimport {Vec2Arg, Vec2Type, getAPI as getVec2API} from './vec2-impl';\nimport {Vec3Arg, Vec3Type, getAPI as getVec3API} from './vec3-impl';\nimport {Vec4Arg, Vec4Type, getAPI as getVec4API} from './vec4-impl';\nimport * as utils from './utils';\n\nexport {\n RotationOrder,\n utils,\n\n BaseArgType,\n\n Mat3Arg,\n Mat4Arg,\n QuatArg,\n Vec2Arg,\n Vec3Arg,\n Vec4Arg,\n\n Mat3Type,\n Mat4Type,\n QuatType,\n Vec2Type,\n Vec3Type,\n Vec4Type,\n};\n\nexport type BaseCtor = new (n: number) => T;\n\nexport type Mat3 = Mat3Type;\nexport type Mat4 = Mat4Type;\nexport type Quat = QuatType;\nexport type Vec2 = Vec2Type;\nexport type Vec3 = Vec3Type;\nexport type Vec4 = Vec4Type;\n\nexport type Mat3d = Mat3Type;\nexport type Mat4d = Mat4Type;\nexport type Quatd = QuatType;\nexport type Vec2d = Vec2Type;\nexport type Vec3d = Vec3Type;\nexport type Vec4d = Vec4Type;\n\nexport type Mat3n = Mat3Type;\nexport type Mat4n = Mat4Type;\nexport type Quatn = QuatType;\nexport type Vec2n = Vec2Type;\nexport type Vec3n = Vec3Type;\nexport type Vec4n = Vec4Type;\n\n/**\n * Generate wgpu-matrix API for type\n */\nfunction wgpuMatrixAPI<\n Mat3 extends BaseArgType,\n Mat4 extends BaseArgType,\n Quat extends BaseArgType,\n Vec2 extends BaseArgType,\n Vec3 extends BaseArgType,\n Vec4 extends BaseArgType,\n>(\n Mat3Ctor: BaseCtor,\n Mat4Ctor: BaseCtor,\n QuatCtor: BaseCtor,\n Vec2Ctor: BaseCtor,\n Vec3Ctor: BaseCtor,\n Vec4Ctor: BaseCtor,\n) {\n return {\n /** @namespace mat3 */\n mat3: getMat3API(Mat3Ctor),\n /** @namespace mat4 */\n mat4: getMat4API(Mat4Ctor),\n /** @namespace quat */\n quat: getQuatAPI(QuatCtor),\n /** @namespace vec2 */\n vec2: getVec2API(Vec2Ctor),\n /** @namespace vec3 */\n vec3: getVec3API(Vec3Ctor),\n /** @namespace vec4 */\n vec4: getVec4API(Vec4Ctor),\n };\n}\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat3,\n /**\n * 4x4 Matrix functions that default to returning `Float32Array`\n * @namespace\n */\n mat4,\n /**\n * Quaternion functions that default to returning `Float32Array`\n * @namespace\n */\n quat,\n /**\n * Vec2 functions that default to returning `Float32Array`\n * @namespace\n */\n vec2,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec3,\n /**\n * Vec3 functions that default to returning `Float32Array`\n * @namespace\n */\n vec4,\n} = wgpuMatrixAPI<\n Mat3, Mat4, Quat, Vec2, Vec3, Vec4>(\n Float32Array, Float32Array, Float32Array, Float32Array, Float32Array, Float32Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat3: mat3d,\n /**\n * 4x4 Matrix functions that default to returning `Float64Array`\n * @namespace\n */\n mat4: mat4d,\n /**\n * Quaternion functions that default to returning `Float64Array`\n * @namespace\n */\n quat: quatd,\n /**\n * Vec2 functions that default to returning `Float64Array`\n * @namespace\n */\n vec2: vec2d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec3: vec3d,\n /**\n * Vec3 functions that default to returning `Float64Array`\n * @namespace\n */\n vec4: vec4d,\n} = wgpuMatrixAPI<\n Mat3d, Mat4d, Quatd, Vec2d, Vec3d, Vec4d>(\n Float64Array, Float64Array, Float64Array, Float64Array, Float64Array, Float64Array);\n\nexport const {\n /**\n * 3x3 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat3: mat3n,\n /**\n * 4x4 Matrix functions that default to returning `number[]`\n * @namespace\n */\n mat4: mat4n,\n /**\n * Quaternion functions that default to returning `number[]`\n * @namespace\n */\n quat: quatn,\n /**\n * Vec2 functions that default to returning `number[]`\n * @namespace\n */\n vec2: vec2n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec3: vec3n,\n /**\n * Vec3 functions that default to returning `number[]`\n * @namespace\n */\n vec4: vec4n,\n} = wgpuMatrixAPI<\n Mat3n, Mat4n, Quatn, Vec2n, Vec3n, Vec4n>(\n ZeroArray, Array, Array, Array, Array, Array);\n"],"names":["ZeroArray","OriginalConstructor","modifier","a","fill","constructor","args","super","this","EPSILON","degrees","Math","PI","n","m","b","v","d","abs","t","radians","old","cache","Map","getAPI","Ctor","api","get","create","x","y","newDst","undefined","subtract","dst","lerp","mulScalar","k","inverse","dot","length","v0","v1","sqrt","lengthSq","distance","dx","dy","distanceSq","normalize","len","copy","multiply","divide","setLength","fromValues","set","ceil","floor","round","clamp","min","max","add","addScaled","scale","angle","ax","ay","bx","by","mag","cosine","acos","sub","equalsApproximately","utils.EPSILON","equals","lerpV","divScalar","invert","cross","z","lenSq","dist","distSq","negate","clone","mul","div","random","cos","sin","zero","transformMat4","transformMat3","rotate","rad","p0","p1","sinC","cosC","truncate","maxLen","midpoint","getAPIImpl","v2","dz","az","bz","t1","t2","zScale","w","transformMat4Upper3x3","transformQuat","q","qx","qy","qz","w2","uvX","uvY","uvZ","getTranslation","getAxis","axis","off","getScaling","xx","xy","xz","yx","yy","yz","zx","zy","zz","rotateX","p","r","rotateY","rotateZ","vec2","getVec2API","vec3","getVec3API","identity","m00","m01","m02","m10","m11","m12","m20","m21","m22","b01","b11","b21","invDet","a00","a01","a02","a10","a11","a12","a20","a21","a22","b00","b02","b10","b12","b20","b22","v3","v4","v5","v6","v7","v8","fromMat4","m4","fromQuat","x2","y2","z2","wx","wy","wz","transpose","determinant","setTranslation","setAxis","get3DScaling","translation","translate","rotation","angleInRadians","c","s","scaling","uniformScaling","uniformScale","m03","m13","m23","m30","m31","m32","m33","tmp0","tmp1","tmp2","tmp3","tmp4","tmp5","tmp6","tmp7","tmp8","tmp9","tmp10","tmp11","tmp12","tmp13","tmp14","tmp15","tmp16","tmp17","tmp18","tmp19","tmp20","tmp21","tmp22","tmp23","t0","t3","a03","a13","a23","a30","a31","a32","a33","b03","b13","b23","b30","b31","b32","b33","xAxis","yAxis","zAxis","axisRotation","oneMinusCosine","axisRotate","r00","r01","r02","r10","r11","r12","r20","r21","r22","v9","v10","v11","v12","v13","v14","v15","fromMat3","m3","perspective","fieldOfViewYInRadians","aspect","zNear","zFar","f","tan","Number","isFinite","rangeInv","perspectiveReverseZ","Infinity","ortho","left","right","bottom","top","near","far","frustum","frustumReverseZ","aim","position","target","up","cameraAim","eye","lookAt","rotationX","rotationY","rotationZ","fromAxisAngle","halfAngle","aw","bw","slerp","scale0","scale1","cosOmega","omega","sinOmega","tempVec3","xUnitVec3","yUnitVec3","tempQuat1","tempQuat2","toAxisAngle","qw","a0","a1","a2","a3","invDot","conjugate","fromMat","trace","root","invRoot","i","j","fromEuler","xAngleInRadians","yAngleInRadians","zAngleInRadians","order","xHalfAngle","yHalfAngle","zHalfAngle","sx","cx","sy","cy","sz","cz","Error","rotationTo","aUnit","bUnit","sqlerp","dw","wgpuMatrixAPI","Mat3Ctor","Mat4Ctor","QuatCtor","Vec2Ctor","Vec3Ctor","Vec4Ctor","mat3","getMat3API","mat4","getMat4API","quat","getQuatAPI","vec4","getVec4API","Float32Array","mat3d","mat4d","quatd","vec2d","vec3d","vec4d","Float64Array","mat3n","mat4n","quatn","vec2n","vec3n","vec4n","Array"],"mappings":"AAkBO,MAAMA,GAXXC,EAWsC,MAVtCC,EAUsDC,GAAKA,EAAEC,KAAK,GAR3D,cAAcH,EACnB,WAAAI,IAAeC,GACbC,SAASD,GACTJ,EAASM,KACV,IARL,IACEP,EACAC,ECcK,IAAIO,EAAU,4DAkBf,SAAmBC,GACvB,OAAOA,EAAUC,KAAKC,GAAK,GAC7B,kBAqDgB,SAAgBC,EAAWC,GACzC,OAASD,EAAIC,EAAKA,GAAKA,CACzB,uBAxB4BX,EAAWY,EAAWC,GAChD,MAAMC,EAAIF,EAAIZ,EACd,OAAQQ,KAAKO,IAAIH,EAAIZ,GAAKM,EACrBN,GACCa,EAAIb,GAAKc,CACjB,gBAlBqBd,EAAWY,EAAWI,GACzC,OAAOhB,GAAKY,EAAIZ,GAAKgB,CACvB,WAbM,SAAmBC,GACvB,OAAiB,IAAVA,EAAgBT,KAAKC,EAC9B,aAtBM,SAAqBI,GACzB,MAAMK,EAAMZ,EAEZ,OADAA,EAAUO,EACHK,CACT,GCgwBA,MAAMC,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAnwBJ,SAA4DD,GAkB5D,SAASG,EAAOC,EAAI,EAAGC,EAAI,GACzB,MAAMC,EAAS,IAAIN,EAAK,GAOxB,YANUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,IAGTC,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA0CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAgED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAiCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAmCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAOZ,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,EAC/B,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EACjC,CAcD,SAASE,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,CACvB,CAeD,SAASG,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EACjC,CAgBD,SAASC,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,CACvB,CAgBD,SAASE,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,GAUrC,OARIQ,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAwBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAiHD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WAtqBiB3B,EAuqBjB4B,IA5pBF,SAA0C3B,EAAWC,EAAWI,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EAELC,CACR,EAspBC0B,KA9oBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAwoBC2B,MAhoBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA0nBC4B,MAlnBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA4mBC6B,MAlmBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA4lBCgC,IAnlBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6kBCiC,UAnkBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA6jBCmC,MArjBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,GACzBzD,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,GAEhCE,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EA4iBCvC,WACAyC,IAphBUzC,EAqhBV0C,oBA7gBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EA2gBCC,OAngBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACpC,EAkgBCoB,OACA2C,MApeF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EA8dC+B,IAndF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA6cC8B,IAlcF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA4bCK,YACA6B,MApaY7B,EAqaZ2C,UA5ZF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAsZCO,UACA0C,OAhYa1C,EAiYb2C,MAvXF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1ByD,EAAI/E,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKjC,OAJAgB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAKmD,EAELnD,CACR,EAgXCQ,MACAC,SACAU,IArVUV,EAsVVI,WACAuC,MArUYvC,EAsUZC,WACAuC,KAnTWvC,EAoTXG,aACAqC,OAjSarC,EAkSbC,YACAqC,OAnQF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA6PCoB,OACAoC,MArOYpC,EAsOZC,WACAoC,IA5MUpC,EA6MVC,SACAoC,IAnLUpC,EAoLVqC,OA5KF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GAIvC,OAHAmB,EAAO,GAAKpB,KAAKgF,IAAIzB,GAASD,EAC9BlC,EAAO,GAAKpB,KAAKiF,IAAI1B,GAASD,EAEvBlC,CACR,EAqKC8D,KA9JF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAKhC,OAHAM,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EAwJC+D,cA9IF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IACpCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKA,EAAE,IAE7BiB,CACR,EAqICgE,cA3HF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GAKZ,OAHAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GACpCiB,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAE7BiB,CACR,EAkHCiE,OAxGF,SAA6C7F,EAAYY,EAAYkF,EAAa/D,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAG1ByE,EAAK/F,EAAE,GAAKY,EAAE,GACdoF,EAAKhG,EAAE,GAAKY,EAAE,GACdqF,EAAOzF,KAAKiF,IAAIK,GAChBI,EAAO1F,KAAKgF,IAAIM,GAMtB,OAHAlE,EAAO,GAAKmE,EAAKG,EAAOF,EAAKC,EAAOrF,EAAE,GACtCgB,EAAO,GAAKmE,EAAKE,EAAOD,EAAKE,EAAOtF,EAAE,GAE/BgB,CACR,EA2FCuB,YACAgD,SAtEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA+DCyE,SAtDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAqDD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCiNA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA79BJ,SAA4DD,GAS5D,SAASG,EAAOC,EAAYC,EAAYoD,GACtC,MAAMnD,EAAS,IAAIN,EAAK,GAUxB,YATUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,KAIXnD,CACR,CA+JD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA2CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAmED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAkCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAqCD,SAASQ,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClD,CAOD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAC3C,CAcD,SAAS9D,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,CACjC,CAeD,SAAS7D,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,EAC3C,CAgBD,SAAS3D,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,CACjC,CAgBD,SAAS1D,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,GAa/C,OAXIxD,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK2E,EAAKxD,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAIPA,CACR,CAyBD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAuSD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WA73BiB3B,EA83BjB4B,IAl3BF,SAA0C3B,EAAWC,EAAWoD,EAAWhD,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EAELnD,CACR,EA22BC0B,KAn2BF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EA41BC2B,MAp1BF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EA60BC4B,MAr0BF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EA8zBC6B,MApzBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA6yBCgC,IApyBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6xBCiC,UAnxBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA4wBCmC,MApwBF,SAAe/D,EAAYY,GACzB,MAAMoD,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPyG,EAAKzG,EAAE,GACPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACP8F,EAAK9F,EAAE,GAGPwD,EAFO5D,KAAKgC,KAAKwB,EAAKA,EAAKC,EAAKA,EAAKwC,EAAKA,GACnCjG,KAAKgC,KAAK0B,EAAKA,EAAKC,EAAKA,EAAKuC,EAAKA,GAE1CrC,EAASD,GAAOhC,EAAIpC,EAAGY,GAAKwD,EAClC,OAAO5D,KAAK8D,KAAKD,EAClB,EAyvBCvC,WACAyC,IAhuBUzC,EAiuBV0C,oBAztBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAstBCC,OA9sBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACrD,EA6sBCoB,OACA2C,MA9qBF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAuqBC+B,IA5pBF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAqpBC8B,IA1oBF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAmoBCK,YACA6B,MA1mBY7B,EA2mBZ2C,UAlmBF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EA2lBCO,UACA0C,OApkBa1C,EAqkBb2C,MA3jBF,SAA4C9E,EAAYY,EAAYmB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BqF,EAAK3G,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAC5BgG,EAAK5G,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GAKlC,OAJAgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKZ,EAAE,GAAKY,EAAE,GACnCgB,EAAO,GAAK+E,EACZ/E,EAAO,GAAKgF,EAELhF,CACR,EAkjBCQ,MACAC,SACAU,IAthBUV,EAuhBVI,WACAuC,MArgBYvC,EAsgBZC,WACAuC,KAlfWvC,EAmfXG,aACAqC,OA/darC,EAgebC,YACAqC,OA7bF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EAsbCoB,OACAoC,MA7ZYpC,EA8ZZC,WACAoC,IAnYUpC,EAoYVC,SACAoC,IAzWUpC,EA0WVqC,OAlWF,SAA6CzB,EAAQ,EAAG/B,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1ByC,EAAwB,EAAhBvD,KAAK+E,SAAe/E,KAAKC,GACjCsE,EAAoB,EAAhBvE,KAAK+E,SAAe,EACxBsB,EAASrG,KAAKgC,KAAK,EAAIuC,EAAIA,GAAKjB,EAKtC,OAJAlC,EAAO,GAAKpB,KAAKgF,IAAIzB,GAAS8C,EAC9BjF,EAAO,GAAKpB,KAAKiF,IAAI1B,GAAS8C,EAC9BjF,EAAO,GAAKmD,EAAIjB,EAETlC,CACR,EAwVC8D,KAjVF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA0UC+D,cAhUF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNiG,EAAKnG,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAQ,EAMvD,OAJAiB,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOmG,EACvDlF,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,KAAOmG,EACvDlF,EAAO,IAAMjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,KAAOmG,EAEjDlF,CACR,EAoTCmF,sBA3SF,SAA4DlG,EAAYF,EAAYoB,GAClF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GAMb,OAJAe,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa4F,EAAK5F,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa4F,EAAK5F,EAAE,GAC3DiB,EAAO,GAAKU,EAAK3B,EAAE,GAAa4B,EAAK5B,EAAE,GAAa4F,EAAK5F,EAAE,IAEpDiB,CACR,EAgSCgE,cAtRF,SAAoD/E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAMZ,OAJAe,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,GACxCiB,EAAO,GAAKF,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,GAAKoE,EAAIpE,EAAE,IAEjCiB,CACR,EA2QCoF,cAlQF,SAAoDnG,EAAYoG,EAAYlF,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B4F,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACPI,EAAY,EAAPJ,EAAE,GAEPvF,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GAENyG,EAAMH,EAAKpC,EAAIqC,EAAKzF,EACpB4F,EAAMH,EAAK1F,EAAIwF,EAAKnC,EACpByC,EAAMN,EAAKvF,EAAIwF,EAAKzF,EAM1B,OAJAE,EAAO,GAAKF,EAAI4F,EAAMD,EAA6B,GAAvBF,EAAKK,EAAMJ,EAAKG,GAC5C3F,EAAO,GAAKD,EAAI4F,EAAMF,EAA6B,GAAvBD,EAAKE,EAAMJ,EAAKM,GAC5C5F,EAAO,GAAKmD,EAAIyC,EAAMH,EAA6B,GAAvBH,EAAKK,EAAMJ,EAAKG,GAErC1F,CACR,EA8OC6F,eArOF,SAAqD9G,EAAYoB,GAC7D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAIhC,OAHAM,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACV,EAgOC8F,QAzNF,SAA8C/G,EAAYgH,EAAc5F,GACpE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BsG,EAAa,EAAPD,EAIZ,OAHA/F,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACbhG,CACV,EAmNCiG,WA7MF,SAAiDlH,EAAYoB,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BwG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPqH,EAAKrH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GACPwH,EAAKxH,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACP2H,EAAK3H,EAAE,IAIb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CpG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CvG,EAAO,GAAKpB,KAAKgC,KAAK4F,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GACxC1G,CACV,EA+LC2G,QApLF,SAA8CvI,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BkH,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAGhB6H,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAKhI,KAAKgF,IAAIM,GAAO0C,EAAE,GAAKhI,KAAKiF,IAAIK,GAC9C2C,EAAE,GAAKD,EAAE,GAAKhI,KAAKiF,IAAIK,GAAO0C,EAAE,GAAKhI,KAAKgF,IAAIM,GAG9ClE,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GAEdgB,CACR,EAgKC8G,QArJF,SAA8C1I,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BkH,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAGhB6H,EAAE,GAAKD,EAAE,GAAKhI,KAAKiF,IAAIK,GAAO0C,EAAE,GAAKhI,KAAKgF,IAAIM,GAC9C2C,EAAE,GAAKD,EAAE,GACTC,EAAE,GAAKD,EAAE,GAAKhI,KAAKgF,IAAIM,GAAO0C,EAAE,GAAKhI,KAAKiF,IAAIK,GAG9ClE,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GAEdgB,CACR,EAiIC+G,QAtHF,SAA8C3I,EAAYY,EAAYkF,EAAa/D,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAC1BkH,EAAI,GACJC,EAAI,GAiBV,OAdAD,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAChB4H,EAAE,GAAKxI,EAAE,GAAKY,EAAE,GAGhB6H,EAAE,GAAKD,EAAE,GAAKhI,KAAKgF,IAAIM,GAAO0C,EAAE,GAAKhI,KAAKiF,IAAIK,GAC9C2C,EAAE,GAAKD,EAAE,GAAKhI,KAAKiF,IAAIK,GAAO0C,EAAE,GAAKhI,KAAKgF,IAAIM,GAC9C2C,EAAE,GAAKD,EAAE,GAGT5G,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GACrBgB,EAAO,GAAK6G,EAAE,GAAK7H,EAAE,GAEdgB,CACR,EAkGCuB,YACAgD,SA7EF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EAsECyE,SA7DF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EA6DD,CASUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCxOA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EA1vBJ,SAA4DD,GAC1D,MAAMsH,EAAOC,EAAoBvH,GAC3BwH,EAAOC,EAAoBzH,GAiKnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC1DiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAElDiB,CACR,CAqDD,SAASoH,EAAsCjH,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,CAuDD,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAER+I,EAAOD,EAAMJ,EAAMC,EAAME,EACzBG,GAAOF,EAAML,EAAME,EAAMC,EACzBK,EAAOJ,EAAMJ,EAAMC,EAAME,EAEzBM,EAAS,GAAKZ,EAAMS,EAAMR,EAAMS,EAAMR,EAAMS,GAYlD,OAVAhI,EAAQ,GAAK8H,EAAMG,EACnBjI,EAAQ,KAAO6H,EAAMP,EAAMC,EAAMK,GAAOK,EACxCjI,EAAQ,IAAO0H,EAAMJ,EAAMC,EAAME,GAAOQ,EACxCjI,EAAQ,GAAK+H,EAAME,EACnBjI,EAAQ,IAAO6H,EAAMR,EAAME,EAAMI,GAAOM,EACxCjI,EAAQ,KAAO0H,EAAML,EAAME,EAAMC,GAAOS,EACxCjI,EAAQ,GAAKgI,EAAMC,EACnBjI,EAAQ,KAAO4H,EAAMP,EAAMC,EAAMK,GAAOM,EACxCjI,EAAO,KAAQyH,EAAMJ,EAAMC,EAAME,GAAOS,EAEjCjI,CACR,CAsCD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BwI,EAAM9J,EAAE,GACR+J,EAAM/J,EAAE,GACRgK,EAAMhK,EAAE,GACRiK,EAAMjK,EAAG,GACTkK,EAAMlK,EAAG,GACTmK,EAAMnK,EAAG,GACToK,EAAMpK,EAAG,GACTqK,EAAMrK,EAAG,GACTsK,EAAMtK,EAAG,IACTuK,EAAM3J,EAAE,GACR8I,EAAM9I,EAAE,GACR4J,EAAM5J,EAAE,GACR6J,EAAM7J,EAAG,GACT+I,EAAM/I,EAAG,GACT8J,EAAM9J,EAAG,GACT+J,EAAM/J,EAAG,GACTgJ,EAAMhJ,EAAG,GACTgK,EAAMhK,EAAG,IAYf,OAVAgB,EAAQ,GAAKkI,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAC3C5I,EAAQ,GAAKmI,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAC3C5I,EAAQ,GAAKoI,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAC3C5I,EAAQ,GAAKkI,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAC3C9I,EAAQ,GAAKmI,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAC3C9I,EAAQ,GAAKoI,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAC3C9I,EAAQ,GAAKkI,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAC3ChJ,EAAQ,GAAKmI,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAC3ChJ,EAAO,IAAMoI,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAEpChJ,CACR,CA4UD,MAAO,CACLwD,MA7hBYpC,EA8hBZvB,OAvrBF,SACIa,EAAaC,EAAagE,EAC1BsE,EAAaC,EAAaC,EAC1BC,EAAaC,EAAaC,GAC5B,MAAMtJ,EAAS,IAAIN,EAAK,IAkCxB,OAhCAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,IAAM,OAEFC,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAP0E,IACF3E,EAAO,GAAK2E,OACD1E,IAAPgJ,IACFjJ,EAAO,GAAKiJ,OACDhJ,IAAPiJ,IACFlJ,EAAO,GAAKkJ,OACDjJ,IAAPkJ,IACFnJ,EAAO,GAAKmJ,OACDlJ,IAAPmJ,IACFpJ,EAAO,GAAKoJ,OACDnJ,IAAPoJ,IACFrJ,EAAO,GAAKqJ,OACDpJ,IAAPqJ,IACFtJ,EAAO,IAAMsJ,WAWxBtJ,CACR,EAipBCyB,IA/nBF,SACIf,EAAYC,EAAYgE,EACxBsE,EAAYC,EAAYC,EACxBC,EAAYC,EAAYC,EAAYnJ,GACtC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAO,GAAKU,EAAKV,EAAO,GAAKW,EAAKX,EAAQ,GAAK2E,EAAK3E,EAAQ,GAAK,EACjEA,EAAO,GAAKiJ,EAAKjJ,EAAO,GAAKkJ,EAAKlJ,EAAQ,GAAKmJ,EAAKnJ,EAAQ,GAAK,EACjEA,EAAO,GAAKoJ,EAAKpJ,EAAO,GAAKqJ,EAAKrJ,EAAO,IAAMsJ,EAAKtJ,EAAO,IAAM,EAE1DA,CACR,EAqnBCuJ,SA7mBF,SAA+CC,EAAarJ,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAIhC,OAHAM,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAQ,GAAKwJ,EAAI,GAAKxJ,EAAQ,GAAK,EAC3EA,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAQ,GAAKwJ,EAAI,GAAKxJ,EAAQ,GAAK,EAC3EA,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,GAAKwJ,EAAG,GAAKxJ,EAAO,IAAMwJ,EAAG,IAAMxJ,EAAO,IAAM,EACpEA,CACR,EAwmBCyJ,SAhmBF,SAA+CpE,EAAYlF,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIuF,EAAE,GAAUtF,EAAIsF,EAAE,GAAUlC,EAAIkC,EAAE,GAAUH,EAAIG,EAAE,GACtDqE,EAAK5J,EAAIA,EAAS6J,EAAK5J,EAAIA,EAAS6J,EAAKzG,EAAIA,EAE7C+C,EAAKpG,EAAI4J,EACTrD,EAAKtG,EAAI2J,EACTpD,EAAKvG,EAAI4J,EACTnD,EAAKrD,EAAIuG,EACTjD,EAAKtD,EAAIwG,EACTjD,EAAKvD,EAAIyG,EACTC,EAAK3E,EAAIwE,EACTI,EAAK5E,EAAIyE,EACTI,EAAK7E,EAAI0E,EAMf,OAJA5J,EAAQ,GAAK,EAAIsG,EAAKI,EAAK1G,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAK,EAAIkG,EAAKQ,EAAK1G,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAO,IAAM,EAAIkG,EAAKI,EAAKtG,EAAO,IAAM,EAEvFA,CACR,EA4kBCuD,OApkBF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAC7DiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAErDiB,CACR,EA6jBCoB,OACAwB,oBA5hBF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EAmhBCC,OA3gBF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,GACpB,EAkgBCoI,WACA4C,UA3eF,SAAgDjL,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAkBJ,OAZAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEAY,CACR,CAED,MAAMqH,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAMd,OAJAiB,EAAQ,GAAKqH,EAAMrH,EAAQ,GAAKwH,EAAMxH,EAAQ,GAAK2H,EACnD3H,EAAQ,GAAKsH,EAAMtH,EAAQ,GAAKyH,EAAMzH,EAAQ,GAAK4H,EACnD5H,EAAQ,GAAKuH,EAAMvH,EAAQ,GAAK0H,EAAM1H,EAAO,IAAM6H,EAE5C7H,CACR,EAqcCO,UACA0C,OAnYa1C,EAoYb0J,YA1ZF,SAAqBlL,GACnB,MAAMsI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAEd,OAAOsI,GAAOI,EAAMI,EAAMD,EAAMF,GACzBF,GAAOF,EAAMO,EAAMD,EAAML,GACzBI,GAAOL,EAAMI,EAAMD,EAAMF,EACjC,EA6YC9D,IAlVUpC,EAmVVA,WACA6I,eA1UF,SAAqD9L,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAOiH,IAYvB,OAXIhJ,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,IAElB4B,EAAQ,GAAKf,EAAE,GACfe,EAAQ,GAAKf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EA6TC6F,eApTF,SAAqD9G,EAAYoB,GAC/D,MAAMH,EAAUG,GAAO6G,EAAKnH,SAG5B,OAFAG,EAAO,GAAKjB,EAAE,GACdiB,EAAO,GAAKjB,EAAE,GACPiB,CACR,EAgTC8F,QAxSF,SAA8C/G,EAAYgH,EAAc5F,GACtE,MAAMH,EAAUG,GAAO6G,EAAKnH,SACtBmG,EAAa,EAAPD,EAGZ,OAFA/F,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACbhG,CACR,EAmSCmK,QAzRF,SAA8CpL,EAAYE,EAAY8G,EAAc5F,GAClF,MAAMH,EAAUG,IAAQpB,EAAIA,EAAIqC,EAAKrC,EAAGoB,GAElC6F,EAAa,EAAPD,EAGZ,OAFA/F,EAAOgG,EAAM,GAAK/G,EAAE,GACpBe,EAAOgG,EAAM,GAAK/G,EAAE,GACbe,CACR,EAmRCiG,WA5QF,SAAiDlH,EAAYoB,GAC3D,MAAMH,EAAUG,GAAO6G,EAAKnH,SAEtBqG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GAKb,OAHAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,GACrCnG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,GAE9BtG,CACR,EAiQCoK,aAzPF,SAAmDrL,EAAYoB,GAC7D,MAAMH,EAAUG,GAAO+G,EAAKrH,SAEtBqG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPqH,EAAKrH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GACPwH,EAAKxH,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACP2H,EAAK3H,EAAE,IAMb,OAJAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CpG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CvG,EAAO,GAAKpB,KAAKgC,KAAK4F,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAExC1G,CACR,EAwOCqK,YAhOF,SAAkDpL,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAKf,EAAE,GAAKe,EAAO,IAAM,EAE9CA,CACR,EAyNCsK,UAhNF,SAAgDvL,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAEPoI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IAed,OAbIA,IAAMiB,IACRA,EAAQ,GAAKqH,EACbrH,EAAQ,GAAKsH,EACbtH,EAAQ,GAAKuH,EACbvH,EAAQ,GAAKwH,EACbxH,EAAQ,GAAKyH,EACbzH,EAAQ,GAAK0H,GAGf1H,EAAQ,GAAKqH,EAAM3G,EAAK8G,EAAM7G,EAAKgH,EACnC3H,EAAQ,GAAKsH,EAAM5G,EAAK+G,EAAM9G,EAAKiH,EACnC5H,EAAO,IAAMuH,EAAM7G,EAAKgH,EAAM/G,EAAKkH,EAE5B7H,CACR,EAmLCuK,SA3KF,SAA+CC,EAAwBrK,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAMnB,OAJAxK,EAAQ,GAAMyK,EAAIzK,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAChDA,EAAQ,IAAM0K,EAAI1K,EAAQ,GAAKyK,EAAIzK,EAAQ,GAAK,EAChDA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAEzCA,CACR,EAiKCiE,OAxJF,SAA6ClF,EAAYyL,EAAwBrK,GAC/E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAiBnB,OAfAxK,EAAQ,GAAKyK,EAAIpD,EAAMqD,EAAIlD,EAC3BxH,EAAQ,GAAKyK,EAAInD,EAAMoD,EAAIjD,EAC3BzH,EAAQ,GAAKyK,EAAIlD,EAAMmD,EAAIhD,EAE3B1H,EAAQ,GAAKyK,EAAIjD,EAAMkD,EAAIrD,EAC3BrH,EAAQ,GAAKyK,EAAIhD,EAAMiD,EAAIpD,EAC3BtH,EAAQ,GAAKyK,EAAI/C,EAAMgD,EAAInD,EAGvBxI,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA6HC2K,QAlHF,SAA8C1L,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EACrDA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAE9CA,CACR,EA2GCkC,MA/FF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GAgBb,OAdAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GAEpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GAEhBA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EA2EC4K,eAnEF,SAAqDF,EAAWvK,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAMhC,OAJAM,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAC/CA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAExCA,CACR,EA4DC6K,aAlDF,SAAmD9L,EAAY2L,EAAWvK,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAgBhC,OAdAM,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GAEnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GAEfA,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAmCD,CASU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC4zBA,MAAMJ,EAAQ,IAAIC,IAEZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAvlDJ,SAA4DD,GAC1D,MAAMwH,EAAOC,EAAoBzH,GAgOnC,SAAS0B,EAAkCrC,EAAYoB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAC/EiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAQ,GAAKjB,EAAG,GAAKiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAC9EiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAAMiB,EAAO,IAAMjB,EAAE,IAEvEiB,CACR,CASD,MAAMwD,EAAQpC,EA0Dd,SAASgG,EAAsCjH,GAC7C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,CAsED,SAASO,EAAqCxB,EAAYoB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IACRsM,EAAQxD,EAAMuD,EACdE,EAAQH,EAAMH,EACdO,EAAQ7D,EAAM0D,EACdI,EAAQL,EAAMJ,EACdU,EAAQ/D,EAAMsD,EACdU,EAAQ7D,EAAMkD,EACdY,EAAQpE,EAAM6D,EACdQ,EAAQT,EAAML,EACde,EAAQtE,EAAMyD,EACdc,EAAQjE,EAAMiD,EACdiB,EAAQxE,EAAMwD,EACdiB,EAAQtE,EAAMoD,EACdmB,EAAQtE,EAAMuD,EACdgB,EAAQjB,EAAMrD,EACduE,EAAQ3E,EAAM0D,EACdkB,EAAQnB,EAAMxD,EACd4E,EAAQ7E,EAAMI,EACd0E,EAAQ3E,EAAMF,EACd8E,EAAQlF,EAAM6D,EACdsB,EAAQvB,EAAM3D,EACdmF,EAAQpF,EAAMO,EACd8E,EAAQ/E,EAAML,EACdqF,EAAQtF,EAAMI,EACdmF,EAAQpF,EAAMF,EAEduF,EAAMxB,EAAO5D,EAAM+D,EAAO5D,EAAM6D,EAAOP,GACxCI,EAAO7D,EAAM8D,EAAO3D,EAAM8D,EAAOR,GAChCnG,EAAMuG,EAAOhE,EAAMqE,EAAO/D,EAAMkE,EAAOZ,GACxCG,EAAO/D,EAAMsE,EAAOhE,EAAMiE,EAAOX,GAChClG,EAAMuG,EAAOjE,EAAMsE,EAAOnE,EAAMsE,EAAQb,GACzCM,EAAOlE,EAAMqE,EAAOlE,EAAMuE,EAAQd,GACjC4B,EAAMpB,EAAOpE,EAAMuE,EAAOpE,EAAMuE,EAAQpE,GACzC6D,EAAOnE,EAAMwE,EAAOrE,EAAMsE,EAAQnE,GAEjC1I,EAAI,GAAKmI,EAAMwF,EAAKrF,EAAMzC,EAAK4C,EAAM3C,EAAKiG,EAAM6B,GA+BtD,OA7BA9M,EAAQ,GAAKd,EAAI2N,EACjB7M,EAAQ,GAAKd,EAAI6F,EACjB/E,EAAQ,GAAKd,EAAI8F,EACjBhF,EAAQ,GAAKd,EAAI4N,EACjB9M,EAAQ,GAAKd,GAAMoM,EAAO9D,EAAM+D,EAAO5D,EAAM+D,EAAOT,GAC3CI,EAAO7D,EAAMgE,EAAO7D,EAAM8D,EAAOR,IAC1CjL,EAAQ,GAAKd,GAAMmM,EAAOhE,EAAMuE,EAAOjE,EAAMkE,EAAOZ,GAC3CK,EAAOjE,EAAMsE,EAAOhE,EAAMmE,EAAOb,IAC1CjL,EAAQ,GAAKd,GAAMsM,EAAOnE,EAAMsE,EAAOnE,EAAMwE,EAAQf,GAC5CM,EAAOlE,EAAMuE,EAAOpE,EAAMuE,EAAQd,IAC3CjL,EAAQ,GAAKd,GAAMuM,EAAOpE,EAAMyE,EAAOtE,EAAMuE,EAAQpE,GAC5C+D,EAAOrE,EAAMwE,EAAOrE,EAAMwE,EAAQrE,IAC3C3H,EAAQ,GAAKd,GAAM+M,EAAQlB,EAAMqB,EAAQpB,EAAMqB,EAAQjB,GAC9Cc,EAAQnB,EAAMoB,EAAQnB,EAAMsB,EAAQlB,IAC7CpL,EAAQ,GAAKd,GAAMgN,EAAQpB,EAAMyB,EAAQvB,EAAM0B,EAAQtB,GAC9Ca,EAAQnB,EAAM0B,EAAQxB,EAAMyB,EAAQrB,IAC7CpL,EAAO,IAAMd,GAAMiN,EAAQrB,EAAM0B,EAAQzB,EAAM4B,EAAQvB,GAC9CgB,EAAQtB,EAAMyB,EAAQxB,EAAM6B,EAAQxB,IAC7CpL,EAAO,IAAMd,GAAMoN,EAAQxB,EAAM2B,EAAQ1B,EAAM6B,EAAQ5B,GAC9CqB,EAAQvB,EAAM4B,EAAQ3B,EAAM4B,EAAQ3B,IAC7ChL,EAAO,IAAMd,GAAMiN,EAAQtE,EAAMyE,EAAQnB,EAAMe,EAAQxE,GAC9C2E,EAAQlB,EAAMc,EAAQvE,EAAM0E,EAAQvE,IAC7C7H,EAAO,IAAMd,GAAMuN,EAAQtB,EAAMc,EAAQ1E,EAAMiF,EAAQ3E,GAC9C0E,EAAQ1E,EAAM6E,EAAQvB,EAAMe,EAAQ3E,IAC7CvH,EAAO,IAAMd,GAAMqN,EAAQ7E,EAAMkF,EAAQzB,EAAMiB,EAAQ7E,GAC9CoF,EAAQxB,EAAMgB,EAAQ5E,EAAMiF,EAAQ9E,IAC7C1H,EAAO,IAAMd,GAAMyN,EAAQ9E,EAAMwE,EAAQ9E,EAAMmF,EAAQhF,GAC9C+E,EAAQ/E,EAAMkF,EAAQ/E,EAAMyE,EAAQ/E,IAEtCvH,CACR,CAwDD,MAAMiD,EAAS1C,EASf,SAASc,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BwI,EAAM9J,EAAE,GACR+J,EAAM/J,EAAE,GACRgK,EAAMhK,EAAE,GACR2O,EAAM3O,EAAE,GACRiK,EAAMjK,EAAG,GACTkK,EAAMlK,EAAG,GACTmK,EAAMnK,EAAG,GACT4O,EAAM5O,EAAG,GACToK,EAAMpK,EAAG,GACTqK,EAAMrK,EAAG,GACTsK,EAAMtK,EAAG,IACT6O,EAAM7O,EAAG,IACT8O,EAAM9O,EAAE,IACR+O,EAAM/O,EAAE,IACRgP,EAAMhP,EAAE,IACRiP,EAAMjP,EAAE,IACRuK,EAAM3J,EAAE,GACR8I,EAAM9I,EAAE,GACR4J,EAAM5J,EAAE,GACRsO,EAAMtO,EAAE,GACR6J,EAAM7J,EAAG,GACT+I,EAAM/I,EAAG,GACT8J,EAAM9J,EAAG,GACTuO,EAAMvO,EAAG,GACT+J,EAAM/J,EAAG,GACTgJ,EAAMhJ,EAAG,GACTgK,EAAMhK,EAAG,IACTwO,EAAMxO,EAAG,IACTyO,EAAMzO,EAAE,IACR0O,EAAM1O,EAAE,IACR2O,EAAM3O,EAAE,IACR4O,EAAM5O,EAAE,IAmBd,OAjBAgB,EAAQ,GAAKkI,EAAMS,EAAMN,EAAMP,EAAMU,EAAMI,EAAMsE,EAAMI,EACvDtN,EAAQ,GAAKmI,EAAMQ,EAAML,EAAMR,EAAMW,EAAMG,EAAMuE,EAAMG,EACvDtN,EAAQ,GAAKoI,EAAMO,EAAMJ,EAAMT,EAAMY,EAAME,EAAMwE,EAAME,EACvDtN,EAAQ,GAAK+M,EAAMpE,EAAMqE,EAAMlF,EAAMmF,EAAMrE,EAAMyE,EAAMC,EACvDtN,EAAQ,GAAKkI,EAAMW,EAAMR,EAAMN,EAAMS,EAAMM,EAAMoE,EAAMK,EACvDvN,EAAQ,GAAKmI,EAAMU,EAAMP,EAAMP,EAAMU,EAAMK,EAAMqE,EAAMI,EACvDvN,EAAQ,GAAKoI,EAAMS,EAAMN,EAAMR,EAAMW,EAAMI,EAAMsE,EAAMG,EACvDvN,EAAQ,GAAK+M,EAAMlE,EAAMmE,EAAMjF,EAAMkF,EAAMnE,EAAMuE,EAAME,EACvDvN,EAAQ,GAAKkI,EAAMa,EAAMV,EAAML,EAAMQ,EAAMQ,EAAMkE,EAAMM,EACvDxN,EAAQ,GAAKmI,EAAMY,EAAMT,EAAMN,EAAMS,EAAMO,EAAMmE,EAAMK,EACvDxN,EAAO,IAAMoI,EAAMW,EAAMR,EAAMP,EAAMU,EAAMM,EAAMoE,EAAMI,EACvDxN,EAAO,IAAM+M,EAAMhE,EAAMiE,EAAMhF,EAAMiF,EAAMjE,EAAMqE,EAAMG,EACvDxN,EAAO,IAAMkI,EAAMuF,EAAMpF,EAAMqF,EAAMlF,EAAMmF,EAAMT,EAAMU,EACvD5N,EAAO,IAAMmI,EAAMsF,EAAMnF,EAAMoF,EAAMjF,EAAMkF,EAAMR,EAAMS,EACvD5N,EAAO,IAAMoI,EAAMqF,EAAMlF,EAAMmF,EAAMhF,EAAMiF,EAAMP,EAAMQ,EACvD5N,EAAO,IAAM+M,EAAMU,EAAMT,EAAMU,EAAMT,EAAMU,EAAMN,EAAMO,EAEhD5N,CACR,CASD,MAAMyD,EAAMpC,EAsWNwM,EAAQ3G,EAAKrH,SACbiO,EAAQ5G,EAAKrH,SACbkO,EAAQ7G,EAAKrH,SAgXnB,SAASmO,EAA0CjI,EAAeyE,EAAwBrK,GACxF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIiG,EAAK,GACThG,EAAIgG,EAAK,GACT5C,EAAI4C,EAAK,GACb,MAAMjH,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAMoH,EAAKpG,EAAIA,EACTwG,EAAKvG,EAAIA,EACT2G,EAAKvD,EAAIA,EACTsH,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GACbyD,EAAiB,EAAIxD,EAmB3B,OAjBAzK,EAAQ,GAAKkG,GAAM,EAAIA,GAAMuE,EAC7BzK,EAAQ,GAAKF,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EAC1C1K,EAAQ,GAAKF,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EAC1C1K,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EAC1C1K,EAAQ,GAAKsG,GAAM,EAAIA,GAAMmE,EAC7BzK,EAAQ,GAAKD,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EAC1C1K,EAAQ,GAAK,EACbA,EAAQ,GAAKF,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EAC1C1K,EAAQ,GAAKD,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EAC1C1K,EAAO,IAAM0G,GAAM,EAAIA,GAAM+D,EAC7BzK,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAENA,CACR,CAwBD,SAASkO,EAAwCnP,EAAYgH,EAAeyE,EAAwBrK,GAClG,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAEhC,IAAII,EAAIiG,EAAK,GACThG,EAAIgG,EAAK,GACT5C,EAAI4C,EAAK,GACb,MAAMjH,EAAIF,KAAKgC,KAAKd,EAAIA,EAAIC,EAAIA,EAAIoD,EAAIA,GACxCrD,GAAKhB,EACLiB,GAAKjB,EACLqE,GAAKrE,EACL,MAAMoH,EAAKpG,EAAIA,EACTwG,EAAKvG,EAAIA,EACT2G,EAAKvD,EAAIA,EACTsH,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GACbyD,EAAiB,EAAIxD,EAErB0D,EAAMjI,GAAM,EAAIA,GAAMuE,EACtB2D,EAAMtO,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EACnC2D,EAAMvO,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EACnC4D,EAAMxO,EAAIC,EAAIkO,EAAiB9K,EAAIuH,EACnC6D,EAAMjI,GAAM,EAAIA,GAAMmE,EACtB+D,EAAMzO,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EACnC+D,EAAM3O,EAAIqD,EAAI8K,EAAiBlO,EAAI2K,EACnCgE,EAAM3O,EAAIoD,EAAI8K,EAAiBnO,EAAI4K,EACnCiE,EAAMjI,GAAM,EAAIA,GAAM+D,EAEtBpD,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IAsBd,OApBAiB,EAAQ,GAAKmO,EAAM9G,EAAM+G,EAAM5G,EAAM6G,EAAM1G,EAC3C3H,EAAQ,GAAKmO,EAAM7G,EAAM8G,EAAM3G,EAAM4G,EAAMzG,EAC3C5H,EAAQ,GAAKmO,EAAM5G,EAAM6G,EAAM1G,EAAM2G,EAAMxG,EAC3C7H,EAAQ,GAAKmO,EAAMrD,EAAMsD,EAAMrD,EAAMsD,EAAMrD,EAC3ChL,EAAQ,GAAKsO,EAAMjH,EAAMkH,EAAM/G,EAAMgH,EAAM7G,EAC3C3H,EAAQ,GAAKsO,EAAMhH,EAAMiH,EAAM9G,EAAM+G,EAAM5G,EAC3C5H,EAAQ,GAAKsO,EAAM/G,EAAMgH,EAAM7G,EAAM8G,EAAM3G,EAC3C7H,EAAQ,GAAKsO,EAAMxD,EAAMyD,EAAMxD,EAAMyD,EAAMxD,EAC3ChL,EAAQ,GAAKyO,EAAMpH,EAAMqH,EAAMlH,EAAMmH,EAAMhH,EAC3C3H,EAAQ,GAAKyO,EAAMnH,EAAMoH,EAAMjH,EAAMkH,EAAM/G,EAC3C5H,EAAO,IAAMyO,EAAMlH,EAAMmH,EAAMhH,EAAMiH,EAAM9G,EAC3C7H,EAAO,IAAMyO,EAAM3D,EAAM4D,EAAM3D,EAAM4D,EAAM3D,EAEvCjM,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,CA4HD,MAAO,CACLH,OAp+CF,SACIa,EAAaC,EAAagE,EAAasE,EACvCC,EAAaC,EAAaC,EAAaC,EACvCC,EAAasF,EAAaC,EAAcC,EACxCC,EAAcC,EAAcC,EAAcC,GAC5C,MAAMlP,EAAS,IAAIN,EAAK,IAiDxB,YAhDWO,IAAPS,IACFV,EAAO,GAAKU,OACDT,IAAPU,IACFX,EAAO,GAAKW,OACDV,IAAP0E,IACF3E,EAAO,GAAK2E,OACD1E,IAAPgJ,IACFjJ,EAAO,GAAKiJ,OACDhJ,IAAPiJ,IACFlJ,EAAO,GAAKkJ,OACDjJ,IAAPkJ,IACFnJ,EAAO,GAAKmJ,OACDlJ,IAAPmJ,IACFpJ,EAAO,GAAKoJ,OACDnJ,IAAPoJ,IACFrJ,EAAO,GAAKqJ,OACDpJ,IAAPqJ,IACFtJ,EAAO,GAAKsJ,OACDrJ,IAAP2O,IACF5O,EAAO,GAAK4O,OACA3O,IAAR4O,IACF7O,EAAO,IAAM6O,OACD5O,IAAR6O,IACF9O,EAAO,IAAM8O,OACD7O,IAAR8O,IACF/O,EAAO,IAAM+O,OACD9O,IAAR+O,IACFhP,EAAO,IAAMgP,OACD/O,IAARgP,IACFjP,EAAO,IAAMiP,OACDhP,IAARiP,IACFlP,EAAO,IAAMkP,kBAiBtClP,CACR,EA86CCyB,IAr5CF,SACIf,EAAYC,EAAYgE,EAAYsE,EACpCC,EAAYC,EAAYC,EAAYC,EACpCC,EAAYsF,EAAYC,EAAaC,EACrCC,EAAaC,EAAaC,EAAaC,EACvC/O,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKU,EAAMV,EAAQ,GAAKW,EAAMX,EAAQ,GAAK2E,EAAM3E,EAAQ,GAAKiJ,EACtEjJ,EAAQ,GAAKkJ,EAAMlJ,EAAQ,GAAKmJ,EAAMnJ,EAAQ,GAAKoJ,EAAMpJ,EAAQ,GAAKqJ,EACtErJ,EAAQ,GAAKsJ,EAAMtJ,EAAQ,GAAK4O,EAAM5O,EAAO,IAAM6O,EAAM7O,EAAO,IAAM8O,EACtE9O,EAAO,IAAM+O,EAAM/O,EAAO,IAAMgP,EAAMhP,EAAO,IAAMiP,EAAMjP,EAAO,IAAMkP,EAE/DlP,CACR,EAw4CCmP,SAh4CF,SAA+CC,EAAajP,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAI,GAAKpP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAI,GAAKpP,EAAQ,GAAK,EAC7EA,EAAQ,GAAKoP,EAAG,GAAKpP,EAAQ,GAAKoP,EAAG,GAAKpP,EAAO,IAAMoP,EAAG,IAAMpP,EAAO,IAAM,EAC7EA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAAQA,EAAO,IAAM,EAASA,EAAO,IAAM,EAEtEA,CACR,EAw3CCyJ,SAh3CF,SAA+CpE,EAAYlF,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BI,EAAIuF,EAAE,GAAUtF,EAAIsF,EAAE,GAAUlC,EAAIkC,EAAE,GAAUH,EAAIG,EAAE,GACtDqE,EAAK5J,EAAIA,EAAS6J,EAAK5J,EAAIA,EAAS6J,EAAKzG,EAAIA,EAE7C+C,EAAKpG,EAAI4J,EACTrD,EAAKtG,EAAI2J,EACTpD,EAAKvG,EAAI4J,EACTnD,EAAKrD,EAAIuG,EACTjD,EAAKtD,EAAIwG,EACTjD,EAAKvD,EAAIyG,EACTC,EAAK3E,EAAIwE,EACTI,EAAK5E,EAAIyE,EACTI,EAAK7E,EAAI0E,EAOf,OALA5J,EAAQ,GAAK,EAAIsG,EAAKI,EAAK1G,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKqG,EAAK0D,EAAS/J,EAAQ,GAAK,EAAIkG,EAAKQ,EAAK1G,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAQ,GAAK,EAC9FA,EAAQ,GAAKwG,EAAKsD,EAAS9J,EAAQ,GAAKyG,EAAKoD,EAAS7J,EAAO,IAAM,EAAIkG,EAAKI,EAAKtG,EAAO,IAAM,EAC9FA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAAcA,EAAO,IAAM,EAEvFA,CACR,EA21CCuD,OAn1CF,SAA6CxE,EAAYoB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GACnFiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAQ,IAAMjB,EAAG,GAAKiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAClFiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAAMiB,EAAO,KAAOjB,EAAE,IAE3EiB,CACR,EA20CCoB,OACAoC,QACAZ,oBA1yCF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAG,GAAKY,EAAG,IAAM6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,GAC1BjE,KAAKO,IAAIf,EAAE,IAAMY,EAAE,KAAO6D,CAClC,EA0xCCC,OAlxCF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAG,KAAOY,EAAG,IACbZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,KACZZ,EAAE,MAAQY,EAAE,GACpB,EAkwCCoI,WACA4C,UA1uCF,SAAgDjL,EAAYoB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAChC,GAAIM,IAAWjB,EAAG,CAChB,IAAIK,EAyBJ,OAvBAA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,GACTA,EAAE,GAAKK,EAEPA,EAAIL,EAAE,GACNA,EAAE,GAAKA,EAAE,IACTA,EAAE,IAAMK,EAERA,EAAIL,EAAE,IACNA,EAAE,IAAMA,EAAE,IACVA,EAAE,IAAMK,EACDY,CACR,CAED,MAAMqH,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IAOd,OALAiB,EAAQ,GAAKqH,EAAMrH,EAAQ,GAAKwH,EAAMxH,EAAQ,GAAK2H,EAAM3H,EAAQ,GAAKiL,EACtEjL,EAAQ,GAAKsH,EAAMtH,EAAQ,GAAKyH,EAAMzH,EAAQ,GAAK4H,EAAM5H,EAAQ,GAAKkL,EACtElL,EAAQ,GAAKuH,EAAMvH,EAAQ,GAAK0H,EAAM1H,EAAO,IAAM6H,EAAM7H,EAAO,IAAMmL,EACtEnL,EAAO,IAAM8K,EAAM9K,EAAO,IAAM+K,EAAM/K,EAAO,IAAMgL,EAAMhL,EAAO,IAAMoL,EAE/DpL,CACR,EAqrCCO,UACA0J,YAllCF,SAAqBlL,GACnB,MAAMsI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IAERsM,EAAQxD,EAAMuD,EACdE,EAAQH,EAAMH,EACdO,EAAQ7D,EAAM0D,EACdI,EAAQL,EAAMJ,EACdU,EAAQ/D,EAAMsD,EACdU,EAAQ7D,EAAMkD,EACdY,EAAQpE,EAAM6D,EACdQ,EAAQT,EAAML,EACde,EAAQtE,EAAMyD,EACdc,EAAQjE,EAAMiD,EACdiB,EAAQxE,EAAMwD,EACdiB,EAAQtE,EAAMoD,EAWpB,OAAOzD,GATKgE,EAAO5D,EAAM+D,EAAO5D,EAAM6D,EAAOP,GACjCI,EAAO7D,EAAM8D,EAAO3D,EAAM8D,EAAOR,IAQ3B1D,GAPN8D,EAAOhE,EAAMqE,EAAO/D,EAAMkE,EAAOZ,GACjCG,EAAO/D,EAAMsE,EAAOhE,EAAMiE,EAAOX,IAMhBvD,GALjB4D,EAAOjE,EAAMsE,EAAOnE,EAAMsE,EAAQb,GAClCM,EAAOlE,EAAMqE,EAAOlE,EAAMuE,EAAQd,IAIND,GAH5BS,EAAOpE,EAAMuE,EAAOpE,EAAMuE,EAAQpE,GAClC6D,EAAOnE,EAAMwE,EAAOrE,EAAMsE,EAAQnE,GAG/C,EA0iCC3E,SACA5B,WACAoC,MACAyG,eAn9BF,SAAqD9L,EAAYa,EAAYkB,GAC3E,MAAMH,EAAUG,GAAOiH,IAmBvB,OAlBIhJ,IAAM4B,IACRA,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAQ,GAAK5B,EAAG,GAChB4B,EAAO,IAAM5B,EAAE,IACf4B,EAAO,IAAM5B,EAAE,KAEjB4B,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAM,EACNA,CACR,EA+7BC6F,eAt7BF,SAAqD9G,EAAYoB,GAC/D,MAAMH,EAAUG,GAAO+G,EAAKrH,SAI5B,OAHAG,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACdiB,EAAO,GAAKjB,EAAE,IACPiB,CACR,EAi7BC8F,QAz6BF,SAA8C/G,EAAYgH,EAAc5F,GACtE,MAAMH,EAAUG,GAAO+G,EAAKrH,SACtBmG,EAAa,EAAPD,EAIZ,OAHA/F,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACpBhG,EAAO,GAAKjB,EAAEiH,EAAM,GACbhG,CACR,EAm6BCmK,QAz5BF,SAA8CpL,EAAYE,EAAY8G,EAAc5F,GAClF,MAAMH,EAAUG,IAAQpB,EAAKoB,EAAMiB,EAAKrC,EAAGoB,GAErC6F,EAAa,EAAPD,EAIZ,OAHA/F,EAAOgG,EAAM,GAAK/G,EAAE,GACpBe,EAAOgG,EAAM,GAAK/G,EAAE,GACpBe,EAAOgG,EAAM,GAAK/G,EAAE,GACbe,CACR,EAk5BCiG,WA34BF,SAAiDlH,EAAYoB,GAC3D,MAAMH,EAAUG,GAAO+G,EAAKrH,SAEtBqG,EAAKnH,EAAE,GACPoH,EAAKpH,EAAE,GACPqH,EAAKrH,EAAE,GACPsH,EAAKtH,EAAE,GACPuH,EAAKvH,EAAE,GACPwH,EAAKxH,EAAE,GACPyH,EAAKzH,EAAE,GACP0H,EAAK1H,EAAE,GACP2H,EAAK3H,EAAE,IAMb,OAJAiB,EAAO,GAAKpB,KAAKgC,KAAKsF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CpG,EAAO,GAAKpB,KAAKgC,KAAKyF,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAC/CvG,EAAO,GAAKpB,KAAKgC,KAAK4F,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,GAExC1G,CACR,EA03BCqP,YA/1BF,SAAkDC,EAA+BC,EAAgBC,EAAeC,EAActP,GAC5H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgQ,EAAI9Q,KAAK+Q,IAAc,GAAV/Q,KAAKC,GAAW,GAAMyQ,GAoBzC,GAlBAtP,EAAO,GAAM0P,EAAIH,EACjBvP,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM0P,EACb1P,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAET4P,OAAOC,SAASJ,GAAO,CACzB,MAAMK,EAAW,GAAKN,EAAQC,GAC9BzP,EAAO,IAAMyP,EAAOK,EACpB9P,EAAO,IAAMyP,EAAOD,EAAQM,CAC7B,MACC9P,EAAO,KAAO,EACdA,EAAO,KAAOwP,EAGhB,OAAOxP,CACR,EA+zBC+P,oBAzyBC,SAA0DT,EAA+BC,EAAgBC,EAAeC,EAAOO,IAAU7P,GAC1I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgQ,EAAI,EAAI9Q,KAAK+Q,IAA4B,GAAxBL,GAoBvB,GAlBAtP,EAAQ,GAAK0P,EAAIH,EACjBvP,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAK0P,EACb1P,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAEbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAO,KAAO,EAEdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETyP,IAASO,IACXhQ,EAAO,IAAM,EACbA,EAAO,IAAMwP,MACR,CACL,MAAMM,EAAW,GAAKL,EAAOD,GAC7BxP,EAAO,IAAMwP,EAAQM,EACrB9P,EAAO,IAAMyP,EAAOD,EAAQM,CAC7B,CAED,OAAO9P,CACR,EAywBCiQ,MAxvBF,SAA4CC,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAapQ,GAC/H,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAO,GAAM,GAAKmQ,EAAQD,GAC1BlQ,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,GAAKqQ,EAAMD,GACxBpQ,EAAO,GAAM,EACbA,EAAO,GAAM,EAEbA,EAAO,GAAM,EACbA,EAAO,GAAM,EACbA,EAAO,IAAM,GAAKsQ,EAAOC,GACzBvQ,EAAO,IAAM,EAEbA,EAAO,KAAOmQ,EAAQD,IAASA,EAAOC,GACtCnQ,EAAO,KAAOqQ,EAAMD,IAAWA,EAASC,GACxCrQ,EAAO,IAAMsQ,GAAQA,EAAOC,GAC5BvQ,EAAO,IAAM,EAENA,CACR,EAiuBCwQ,QA7sBF,SAA8CN,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAapQ,GACjI,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMoP,EAAQD,EACdlP,EAAMqP,EAAMD,EACZxL,EAAM0L,EAAOC,EAmBnB,OAjBAvQ,EAAQ,GAAK,EAAIsQ,EAAOvP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIsQ,EAAOtP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMkQ,EAAOC,GAASpP,EAC9Bf,EAAQ,IAAMqQ,EAAMD,GAAUpP,EAC9BhB,EAAO,IAAMuQ,EAAM3L,EACnB5E,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAMsQ,EAAOC,EAAM3L,EAC1B5E,EAAO,IAAM,EAENA,CACR,EAqrBCyQ,gBAjqBF,SAAsDP,EAAcC,EAAeC,EAAgBC,EAAaC,EAAcC,EAAMP,IAAU7P,GAC5I,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BqB,EAAMoP,EAAQD,EACdlP,EAAMqP,EAAMD,EAiBlB,GAfApQ,EAAQ,GAAK,EAAIsQ,EAAOvP,EACxBf,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,GAAK,EAAIsQ,EAAOtP,EACxBhB,EAAQ,GAAK,EACbA,EAAQ,GAAK,EACbA,EAAQ,IAAMkQ,EAAOC,GAASpP,EAC9Bf,EAAQ,IAAMqQ,EAAMD,GAAUpP,EAC9BhB,EAAO,KAAO,EACdA,EAAO,IAAM,EACbA,EAAO,IAAM,EACbA,EAAO,IAAM,EAETuQ,IAAQP,IACVhQ,EAAO,IAAM,EACbA,EAAO,IAAMsQ,MACR,CACL,MAAMR,EAAW,GAAKS,EAAMD,GAC5BtQ,EAAO,IAAMsQ,EAAOR,EACpB9P,EAAO,IAAMuQ,EAAMD,EAAOR,CAC3B,CAED,OAAO9P,CACR,EAmoBC0Q,IA/mBF,SAA0CC,EAAmBC,EAAiBC,EAAa1Q,GACzF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAwH,EAAKhG,UAAUgG,EAAKhH,SAAS0Q,EAAQD,EAAU5C,GAAQA,GACvD7G,EAAKhG,UAAUgG,EAAKhE,MAAM2N,EAAI9C,EAAOF,GAAQA,GAC7C3G,EAAKhG,UAAUgG,EAAKhE,MAAM6K,EAAOF,EAAOC,GAAQA,GAEhD9N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAO,IAAM+N,EAAM,GAAQ/N,EAAO,IAAM,EAC9FA,EAAO,IAAM2Q,EAAS,GAAK3Q,EAAO,IAAM2Q,EAAS,GAAK3Q,EAAO,IAAM2Q,EAAS,GAAK3Q,EAAO,IAAM,EAEvFA,CACR,EAmmBC8Q,UAnlBF,SAAgDC,EAAcH,EAAiBC,EAAa1Q,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAWhC,OATAwH,EAAKhG,UAAUgG,EAAKhH,SAAS6Q,EAAKH,EAAQ7C,GAAQA,GAClD7G,EAAKhG,UAAUgG,EAAKhE,MAAM2N,EAAI9C,EAAOF,GAAQA,GAC7C3G,EAAKhG,UAAUgG,EAAKhE,MAAM6K,EAAOF,EAAOC,GAAQA,GAEhD9N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK6N,EAAM,GAAQ7N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK8N,EAAM,GAAQ9N,EAAQ,GAAK,EAC9FA,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAQ,GAAK+N,EAAM,GAAQ/N,EAAO,IAAM+N,EAAM,GAAQ/N,EAAO,IAAM,EAC9FA,EAAO,IAAM+Q,EAAI,GAAK/Q,EAAO,IAAM+Q,EAAI,GAAK/Q,EAAO,IAAM+Q,EAAI,GAAK/Q,EAAO,IAAM,EAExEA,CACR,EAukBCgR,OAzjBF,SAA6CD,EAAcH,EAAiBC,EAAa1Q,GACvF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAehC,OAbAwH,EAAKhG,UAAUgG,EAAKhH,SAAS6Q,EAAKH,EAAQ7C,GAAQA,GAClD7G,EAAKhG,UAAUgG,EAAKhE,MAAM2N,EAAI9C,EAAOF,GAAQA,GAC7C3G,EAAKhG,UAAUgG,EAAKhE,MAAM6K,EAAOF,EAAOC,GAAQA,GAEhD9N,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK+N,EAAM,GAAK/N,EAAQ,GAAK,EACrFA,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAQ,GAAK+N,EAAM,GAAK/N,EAAQ,GAAK,EACrFA,EAAQ,GAAK6N,EAAM,GAAK7N,EAAQ,GAAK8N,EAAM,GAAK9N,EAAO,IAAM+N,EAAM,GAAK/N,EAAO,IAAM,EAErFA,EAAO,MAAQ6N,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,GAAKlD,EAAM,GAAKkD,EAAI,IACtE/Q,EAAO,MAAQ8N,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,GAAKjD,EAAM,GAAKiD,EAAI,IACtE/Q,EAAO,MAAQ+N,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,GAAKhD,EAAM,GAAKgD,EAAI,IACtE/Q,EAAO,IAAM,EAENA,CACR,EAyiBCqK,YAhiBF,SAAkDpL,EAAYkB,GAC5D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EACzEA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EAElEA,CACR,EAwhBCsK,UA9gBF,SAAgDvL,EAAYE,EAAYkB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPoI,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACRkM,EAAMlM,EAAE,IACRmM,EAAMnM,EAAE,IACRoM,EAAMpM,EAAE,IACRqM,EAAMrM,EAAE,IAsBd,OApBIA,IAAMiB,IACRA,EAAQ,GAAKqH,EACbrH,EAAQ,GAAKsH,EACbtH,EAAQ,GAAKuH,EACbvH,EAAQ,GAAK8K,EACb9K,EAAQ,GAAKwH,EACbxH,EAAQ,GAAKyH,EACbzH,EAAQ,GAAK0H,EACb1H,EAAQ,GAAK+K,EACb/K,EAAQ,GAAK2H,EACb3H,EAAQ,GAAK4H,EACb5H,EAAO,IAAM6H,EACb7H,EAAO,IAAMgL,GAGfhL,EAAO,IAAMqH,EAAM3G,EAAK8G,EAAM7G,EAAKgH,EAAMhD,EAAKsG,EAC9CjL,EAAO,IAAMsH,EAAM5G,EAAK+G,EAAM9G,EAAKiH,EAAMjD,EAAKuG,EAC9ClL,EAAO,IAAMuH,EAAM7G,EAAKgH,EAAM/G,EAAKkH,EAAMlD,EAAKwG,EAC9CnL,EAAO,IAAM8K,EAAMpK,EAAKqK,EAAMpK,EAAKqK,EAAMrG,EAAKyG,EAEvCpL,CACR,EAmeCiR,UA3dF,SAAgDzG,EAAwBrK,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAOnB,OALAxK,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAMyK,EAAIzK,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,IAAM0K,EAAI1K,EAAO,IAAMyK,EAAIzK,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAgdC2G,QAtcF,SAA8C5H,EAAYyL,EAAwBrK,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B8H,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAsBnB,OApBAxK,EAAO,GAAMyK,EAAIjD,EAAMkD,EAAI/C,EAC3B3H,EAAO,GAAMyK,EAAIhD,EAAMiD,EAAI9C,EAC3B5H,EAAO,GAAMyK,EAAI/C,EAAMgD,EAAI7C,EAC3B7H,EAAO,GAAMyK,EAAIM,EAAML,EAAIM,EAC3BhL,EAAO,GAAMyK,EAAI9C,EAAM+C,EAAIlD,EAC3BxH,EAAO,GAAMyK,EAAI7C,EAAM8C,EAAIjD,EAC3BzH,EAAO,IAAMyK,EAAI5C,EAAM6C,EAAIhD,EAC3B1H,EAAO,IAAMyK,EAAIO,EAAMN,EAAIK,EAEvBhM,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAoaCkR,UA5ZF,SAAgD1G,EAAwBrK,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAOnB,OALAxK,EAAQ,GAAKyK,EAAIzK,EAAQ,GAAK,EAAIA,EAAQ,IAAM0K,EAAI1K,EAAQ,GAAK,EACjEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAO,IAAOyK,EAAIzK,EAAO,IAAM,EACjEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAiZC8G,QAvYF,SAA8C/H,EAAYyL,EAAwBrK,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACR4I,EAAM5I,EAAE,GACR6I,EAAM7I,EAAE,GACR8I,EAAM9I,EAAE,IACRiM,EAAMjM,EAAE,IACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAsBnB,OApBAxK,EAAQ,GAAKyK,EAAIpD,EAAMqD,EAAI/C,EAC3B3H,EAAQ,GAAKyK,EAAInD,EAAMoD,EAAI9C,EAC3B5H,EAAQ,GAAKyK,EAAIlD,EAAMmD,EAAI7C,EAC3B7H,EAAQ,GAAKyK,EAAIK,EAAMJ,EAAIM,EAC3BhL,EAAQ,GAAKyK,EAAI9C,EAAM+C,EAAIrD,EAC3BrH,EAAQ,GAAKyK,EAAI7C,EAAM8C,EAAIpD,EAC3BtH,EAAO,IAAMyK,EAAI5C,EAAM6C,EAAInD,EAC3BvH,EAAO,IAAMyK,EAAIO,EAAMN,EAAII,EAEvB/L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAqWCmR,UA7VF,SAAgD3G,EAAwBrK,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B+K,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAOnB,OALAxK,EAAQ,GAAMyK,EAAIzK,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,IAAM0K,EAAI1K,EAAQ,GAAKyK,EAAIzK,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EACjEA,EAAQ,GAAM,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EACjEA,EAAO,IAAO,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAE1DA,CACR,EAkVC+G,QAxUF,SAA8ChI,EAAYyL,EAAwBrK,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1B2H,EAAMtI,EAAE,GACRuI,EAAMvI,EAAE,GACRwI,EAAMxI,EAAE,GACR+L,EAAM/L,EAAE,GACRyI,EAAMzI,EAAE,GACR0I,EAAM1I,EAAE,GACR2I,EAAM3I,EAAE,GACRgM,EAAMhM,EAAE,GACR0L,EAAI7L,KAAKgF,IAAI4G,GACbE,EAAI9L,KAAKiF,IAAI2G,GAsBnB,OApBAxK,EAAQ,GAAKyK,EAAIpD,EAAMqD,EAAIlD,EAC3BxH,EAAQ,GAAKyK,EAAInD,EAAMoD,EAAIjD,EAC3BzH,EAAQ,GAAKyK,EAAIlD,EAAMmD,EAAIhD,EAC3B1H,EAAQ,GAAKyK,EAAIK,EAAMJ,EAAIK,EAC3B/K,EAAQ,GAAKyK,EAAIjD,EAAMkD,EAAIrD,EAC3BrH,EAAQ,GAAKyK,EAAIhD,EAAMiD,EAAIpD,EAC3BtH,EAAQ,GAAKyK,EAAI/C,EAAMgD,EAAInD,EAC3BvH,EAAQ,GAAKyK,EAAIM,EAAML,EAAII,EAEvB/L,IAAMiB,IACRA,EAAQ,GAAKjB,EAAG,GAChBiB,EAAQ,GAAKjB,EAAG,GAChBiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAsSCgO,eACAzD,SA5OeyD,EA6OfE,aACAjK,OAzJaiK,EA0JbvD,QA/IF,SAA8C1L,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAKf,EAAE,GAAKe,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EACzEA,EAAQ,GAAK,EAAOA,EAAQ,GAAK,EAAOA,EAAO,IAAMf,EAAE,GAAKe,EAAO,IAAM,EACzEA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAAOA,EAAO,IAAM,EAElEA,CACR,EAuICkC,MA3HF,SAA4CnD,EAAYE,EAAYkB,GAClE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GAsBb,OApBAe,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKU,EAAK3B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAKW,EAAK5B,EAAE,GACpBiB,EAAQ,GAAK2E,EAAK5F,EAAE,GACpBiB,EAAQ,GAAK2E,EAAK5F,EAAE,GACpBiB,EAAO,IAAM2E,EAAK5F,EAAE,IACpBiB,EAAO,IAAM2E,EAAK5F,EAAE,IAEhBA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAgGC4K,eAxFF,SAAqDF,EAAWvK,GAC9D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAOhC,OALAM,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK0K,EAAI1K,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAChEA,EAAQ,GAAK,EAAIA,EAAQ,GAAK,EAAIA,EAAO,IAAM0K,EAAI1K,EAAO,IAAM,EAChEA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAAIA,EAAO,IAAM,EAEzDA,CACR,EAgFC6K,aAvEF,SAAmD9L,EAAY2L,EAAWvK,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,IAsBhC,OApBAM,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAQ,GAAK0K,EAAI3L,EAAE,GACnBiB,EAAO,IAAM0K,EAAI3L,EAAE,IACnBiB,EAAO,IAAM0K,EAAI3L,EAAE,IAEfA,IAAMiB,IACRA,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,IACfiB,EAAO,IAAMjB,EAAE,KAGViB,CACR,EAkDD,CAUU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC9uBA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAj3BJ,SAA6DD,GAC3D,MAAMwH,EAAOC,EAAqBzH,GAUpC,SAASG,EAAOC,EAAYC,EAAYoD,EAAY+B,GAClD,MAAMlF,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANiF,IACFlF,EAAO,GAAKkF,MAKblF,CACR,CAUD,MAAMwB,EAAa3B,EAiCnB,SAASuR,EAA4CrL,EAAeyE,EAAwBrK,GAC1F,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EACZE,EAAI9L,KAAKiF,IAAIwN,GAOnB,OALArR,EAAO,GAAK0K,EAAI3E,EAAK,GACrB/F,EAAO,GAAK0K,EAAI3E,EAAK,GACrB/F,EAAO,GAAK0K,EAAI3E,EAAK,GACrB/F,EAAO,GAAKpB,KAAKgF,IAAIyN,GAEdrR,CACR,CA6CD,SAASqB,EAAuCjD,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPyG,EAAKzG,EAAE,GACPkT,EAAKlT,EAAE,GAEPkE,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACP8F,EAAK9F,EAAE,GACPuS,EAAKvS,EAAE,GAOb,OALAgB,EAAO,GAAKoC,EAAKmP,EAAKD,EAAKhP,EAAKD,EAAKyC,EAAKD,EAAKtC,EAC/CvC,EAAO,GAAKqC,EAAKkP,EAAKD,EAAK/O,EAAKsC,EAAKvC,EAAKF,EAAK0C,EAC/C9E,EAAO,GAAK6E,EAAK0M,EAAKD,EAAKxM,EAAK1C,EAAKG,EAAKF,EAAKC,EAC/CtC,EAAO,GAAKsR,EAAKC,EAAKnP,EAAKE,EAAKD,EAAKE,EAAKsC,EAAKC,EAExC9E,CACR,CAUD,MAAMyD,EAAMpC,EA+FZ,SAASmQ,EAAoCpT,EAAYY,EAAYI,EAAWe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B0C,EAAKhE,EAAE,GACPiE,EAAKjE,EAAE,GACPyG,EAAKzG,EAAE,GACPkT,EAAKlT,EAAE,GAEb,IAeIqT,EACAC,EAhBApP,EAAKtD,EAAE,GACPuD,EAAKvD,EAAE,GACP8F,EAAK9F,EAAE,GACPuS,EAAKvS,EAAE,GAEP2S,EAAWvP,EAAKE,EAAKD,EAAKE,EAAKsC,EAAKC,EAAKwM,EAAKC,EAalD,GAXII,EAAW,IACbA,GAAYA,EACZrP,GAAMA,EACNC,GAAMA,EACNuC,GAAMA,EACNyM,GAAMA,GAMJ,EAAMI,EAAW9O,EAAe,CAClC,MAAM+O,EAAQhT,KAAK8D,KAAKiP,GAClBE,EAAWjT,KAAKiF,IAAI+N,GAC1BH,EAAS7S,KAAKiF,KAAK,EAAIzE,GAAKwS,GAASC,EACrCH,EAAS9S,KAAKiF,IAAIzE,EAAIwS,GAASC,CAChC,MACCJ,EAAS,EAAMrS,EACfsS,EAAStS,EAQX,OALAY,EAAO,GAAKyR,EAASrP,EAAKsP,EAASpP,EACnCtC,EAAO,GAAKyR,EAASpP,EAAKqP,EAASnP,EACnCvC,EAAO,GAAKyR,EAAS5M,EAAK6M,EAAS5M,EACnC9E,EAAO,GAAKyR,EAASH,EAAKI,EAASH,EAE5BvR,CACR,CAmMD,SAASoB,EAAmCiE,EAAYlF,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKqF,EAAE,GACdrF,EAAO,GAAKqF,EAAE,GACdrF,EAAO,GAAKqF,EAAE,GACdrF,EAAO,GAAKqF,EAAE,GAEPrF,CACR,CASD,MAAMwD,EAAQpC,EA2Bd,SAASlB,EAAuC9B,EAAYY,EAAYmB,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CASD,MAAM2C,EAAMzC,EASZ,SAASG,EAAwCpB,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CASD,MAAMkC,EAAQ7B,EA0Bd,SAASG,EAAIpC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,CA4BD,SAASyB,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,EACrD,CAOD,MAAM9H,EAAMV,EAOZ,SAASI,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,CAC3C,CAOD,MAAM7F,EAAQvC,EAQd,SAASK,EAAwCjC,EAAYkB,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,GAczD,OAZI9H,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK2E,EAAKxD,EACjBnB,EAAO,GAAKiJ,EAAK9H,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CAyCD,MAAM8R,EAAW5K,EAAKrH,SAChBkS,EAAY7K,EAAKrH,SACjBmS,EAAY9K,EAAKrH,SA2CjBoS,EAAY,IAAIvS,EAAK,GACrBwS,EAAY,IAAIxS,EAAK,GA4B3B,MAAO,CACLG,SACA2B,aACAC,IA7vBF,SAA2C3B,EAAWC,EAAWoD,EAAW+B,EAAW/E,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKkF,EAELlF,CACR,EAqvBCoR,gBACAe,YAvtBF,SAAmD9M,EAAYlF,GAC7D,MAAMH,EAAUG,GAAO+G,EAAKrH,OAAO,GAE7BsC,EAA0B,EAAlBvD,KAAK8D,KAAK2C,EAAE,IACpBqF,EAAI9L,KAAKiF,IAAY,GAAR1B,GAWnB,OAVIuI,EAAI7H,GACN7C,EAAO,GAAKqF,EAAE,GAAKqF,EACnB1K,EAAO,GAAKqF,EAAE,GAAKqF,EACnB1K,EAAO,GAAKqF,EAAE,GAAKqF,IAEnB1K,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGP,CAAEmC,QAAO4D,KAAM/F,EACvB,EAwsBCmC,MAhsBF,SAAe/D,EAAYY,GACzB,MAAME,EAAIsB,EAAIpC,EAAGY,GACjB,OAAOJ,KAAK8D,KAAK,EAAIxD,EAAIA,EAAI,EAC9B,EA8rBCmC,WACAoC,MACAkD,QAhpBF,SAA+CtB,EAAYmF,EAAwBrK,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EAEZlF,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACP+M,EAAK/M,EAAE,GAEP/C,EAAK1D,KAAKiF,IAAIwN,GACdE,EAAK3S,KAAKgF,IAAIyN,GAOpB,OALArR,EAAO,GAAKsF,EAAKiM,EAAKa,EAAK9P,EAC3BtC,EAAO,GAAKuF,EAAKgM,EAAK/L,EAAKlD,EAC3BtC,EAAO,GAAKwF,EAAK+L,EAAKhM,EAAKjD,EAC3BtC,EAAO,GAAKoS,EAAKb,EAAKjM,EAAKhD,EAEpBtC,CACR,EA8nBC8G,QArnBF,SAA+CzB,EAAYmF,EAAwBrK,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EAEZlF,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACP+M,EAAK/M,EAAE,GAEP9C,EAAK3D,KAAKiF,IAAIwN,GACdE,EAAK3S,KAAKgF,IAAIyN,GAOpB,OALArR,EAAO,GAAKsF,EAAKiM,EAAK/L,EAAKjD,EAC3BvC,EAAO,GAAKuF,EAAKgM,EAAKa,EAAK7P,EAC3BvC,EAAO,GAAKwF,EAAK+L,EAAKjM,EAAK/C,EAC3BvC,EAAO,GAAKoS,EAAKb,EAAKhM,EAAKhD,EAEpBvC,CACR,EAmmBC+G,QA1lBF,SAA+C1B,EAAYmF,EAAwBrK,GACjF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2R,EAA6B,GAAjB7G,EAEZlF,EAAKD,EAAE,GACPE,EAAKF,EAAE,GACPG,EAAKH,EAAE,GACP+M,EAAK/M,EAAE,GAEPP,EAAKlG,KAAKiF,IAAIwN,GACdE,EAAK3S,KAAKgF,IAAIyN,GAOpB,OALArR,EAAO,GAAKsF,EAAKiM,EAAKhM,EAAKT,EAC3B9E,EAAO,GAAKuF,EAAKgM,EAAKjM,EAAKR,EAC3B9E,EAAO,GAAKwF,EAAK+L,EAAKa,EAAKtN,EAC3B9E,EAAO,GAAKoS,EAAKb,EAAK/L,EAAKV,EAEpB9E,CACR,EAwkBCwR,QACAjR,QA5gBF,SAA+C8E,EAAYlF,GACzD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B2S,EAAKhN,EAAE,GACPiN,EAAKjN,EAAE,GACPkN,EAAKlN,EAAE,GACPmN,EAAKnN,EAAE,GAEP7E,EAAM6R,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EAAKC,EAAKA,EACzCC,EAASjS,EAAM,EAAIA,EAAM,EAO/B,OALAR,EAAO,IAAMqS,EAAKI,EAClBzS,EAAO,IAAMsS,EAAKG,EAClBzS,EAAO,IAAMuS,EAAKE,EAClBzS,EAAO,GAAMwS,EAAKC,EAEXzS,CACR,EA4fC0S,UAjfF,SAAiDrN,EAAYlF,GAC3D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMqF,EAAE,GACfrF,EAAO,IAAMqF,EAAE,GACfrF,EAAO,IAAMqF,EAAE,GACfrF,EAAO,GAAMqF,EAAE,GAERrF,CACR,EAyeC2S,QA9dF,SAA+C5T,EAAsBoB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAc1BkT,EAAQ7T,EAAE,GAAKA,EAAE,GAAKA,EAAE,IAE9B,GAAI6T,EAAQ,EAAK,CAEf,MAAMC,EAAOjU,KAAKgC,KAAKgS,EAAQ,GAC/B5S,EAAO,GAAK,GAAM6S,EAClB,MAAMC,EAAU,GAAMD,EAEtB7S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM+T,EAC5B9S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM+T,EAC5B9S,EAAO,IAAMjB,EAAE,GAAKA,EAAE,IAAM+T,CAC7B,KAAM,CAEL,IAAIC,EAAI,EAEJhU,EAAE,GAAKA,EAAE,KACXgU,EAAI,GAEFhU,EAAE,IAAMA,EAAM,EAAJgU,EAAQA,KACpBA,EAAI,GAGN,MAAMC,GAAKD,EAAI,GAAK,EACdzS,GAAKyS,EAAI,GAAK,EAEdF,EAAOjU,KAAKgC,KAAK7B,EAAM,EAAJgU,EAAQA,GAAKhU,EAAM,EAAJiU,EAAQA,GAAKjU,EAAM,EAAJuB,EAAQA,GAAK,GACpEN,EAAO+S,GAAK,GAAMF,EAElB,MAAMC,EAAU,GAAMD,EAEtB7S,EAAO,IAAMjB,EAAM,EAAJiU,EAAQ1S,GAAKvB,EAAM,EAAJuB,EAAQ0S,IAAMF,EAC5C9S,EAAOgT,IAAMjU,EAAM,EAAJiU,EAAQD,GAAKhU,EAAM,EAAJgU,EAAQC,IAAMF,EAC5C9S,EAAOM,IAAMvB,EAAM,EAAJuB,EAAQyS,GAAKhU,EAAM,EAAJgU,EAAQzS,IAAMwS,CAC7C,CAED,OAAO9S,CACR,EA4aCiT,UAhaF,SACIC,EACAC,EACAC,EACAC,EACAlT,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1B4T,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EACbK,EAA+B,GAAlBJ,EAEbK,EAAK7U,KAAKiF,IAAIyP,GACdI,EAAK9U,KAAKgF,IAAI0P,GACdK,EAAK/U,KAAKiF,IAAI0P,GACdK,EAAKhV,KAAKgF,IAAI2P,GACdM,EAAKjV,KAAKiF,IAAI2P,GACdM,EAAKlV,KAAKgF,IAAI4P,GAEpB,OAAQH,GACN,IAAK,MACHrT,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,IAAK,MACH7T,EAAO,GAAKyT,EAAKG,EAAKE,EAAKJ,EAAKC,EAAKE,EACrC7T,EAAO,GAAK0T,EAAKC,EAAKG,EAAKL,EAAKG,EAAKC,EACrC7T,EAAO,GAAK0T,EAAKE,EAAKC,EAAKJ,EAAKE,EAAKG,EACrC9T,EAAO,GAAK0T,EAAKE,EAAKE,EAAKL,EAAKE,EAAKE,EACrC,MAEF,QACE,MAAM,IAAIE,MAAM,2BAA2BV,KAG/C,OAAOrT,CACR,EA8VCoB,OACAoC,QACAxB,IA5TF,SAA2C5D,EAAYY,EAAYmB,GACjE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EAoTCE,WACAyC,MACAtC,YACA6B,QACAc,UAzPF,SAAiD/D,EAAYqB,EAAWH,GACtE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAiPCQ,MACAJ,KA5NF,SAA4ChC,EAAYY,EAAYI,EAAWe,GAC7E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,EAoNCS,SACAU,MACAN,WACAuC,QACAlC,YACA0B,oBA3IF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAuICC,OA/HF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA8HCoI,SAvHF,SAAgDjH,GAC9C,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA+GCgU,WAjGF,SAAkDC,EAAgBC,EAAgB/T,GAChF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1Bc,EAAM0G,EAAK1G,IAAIyT,EAAOC,GAC5B,OAAI1T,GAAO,SACT0G,EAAKhE,MAAM6O,EAAWkC,EAAOnC,GACzB5K,EAAK/F,IAAI2Q,GAAY,MACvB5K,EAAKhE,MAAM8O,EAAWiC,EAAOnC,GAG/B5K,EAAKhG,UAAU4Q,EAAUA,GACzBV,EAAcU,EAAUlT,KAAKC,GAAImB,GAE1BA,GACEQ,EAAM,SACfR,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,IAEPkH,EAAKhE,MAAM+Q,EAAOC,EAAOpC,GAEzB9R,EAAO,GAAK8R,EAAS,GACrB9R,EAAO,GAAK8R,EAAS,GACrB9R,EAAO,GAAK8R,EAAS,GACrB9R,EAAO,GAAK,EAAIQ,EAETU,EAAUlB,EAAQA,GAE5B,EAmECmU,OApDF,SACI/V,EACAY,EACAyL,EACAvL,EACAE,EACAe,GACF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAMhC,OAJA8R,EAAMpT,EAAGc,EAAGE,EAAG6S,GACfT,EAAMxS,EAAGyL,EAAGrL,EAAG8S,GACfV,EAAMS,EAAWC,EAAW,EAAI9S,GAAK,EAAIA,GAAIY,GAEtCA,CACR,EAyCD,CA+BU0E,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CCnKA,MAAMJ,EAAQ,IAAIC,IAwBZ,SAAUC,EAAyCC,GACvD,IAAIC,EAAMJ,EAAMK,IAAIF,GAKpB,OAJKC,IACHA,EAlvBJ,SAA4DD,GAU5D,SAASG,EAAOC,EAAYC,EAAYoD,EAAY+B,GAClD,MAAMlF,EAAS,IAAIN,EAAK,GAaxB,YAZUO,IAANH,IACFE,EAAO,GAAKF,OACFG,IAANF,IACFC,EAAO,GAAKD,OACFE,IAANkD,IACFnD,EAAO,GAAKmD,OACFlD,IAANiF,IACFlF,EAAO,GAAKkF,MAKblF,CACR,CAoJD,SAASE,EAAsC9B,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4CD,SAASI,EAAkChC,EAAYY,EAAYI,EAAWe,GAC5E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IACjC4B,EAAO,GAAK5B,EAAE,GAAKgB,GAAKJ,EAAE,GAAKZ,EAAE,IAE1B4B,CACR,CAsED,SAASK,EAAuCpB,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,CAmCD,SAASO,EAAqCtB,EAAYkB,GACxD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAClBe,EAAO,GAAK,EAAIf,EAAE,GAEXe,CACR,CAyBD,SAASS,EAAOxB,GACd,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOL,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,EACrD,CAcD,SAASpI,EAAS5B,GAChB,MAAMyB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACb,OAAOyB,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,CAC3C,CAeD,SAASnI,EAAS1C,EAAYY,GAC5B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACdoV,EAAKhW,EAAE,GAAKY,EAAE,GACpB,OAAOJ,KAAKgC,KAAKG,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,EAAKwP,EAAKA,EACrD,CAgBD,SAASnT,EAAW7C,EAAYY,GAC9B,MAAM+B,EAAK3C,EAAE,GAAKY,EAAE,GACdgC,EAAK5C,EAAE,GAAKY,EAAE,GACd4F,EAAKxG,EAAE,GAAKY,EAAE,GACdoV,EAAKhW,EAAE,GAAKY,EAAE,GACpB,OAAO+B,EAAKA,EAAKC,EAAKA,EAAK4D,EAAKA,EAAKwP,EAAKA,CAC3C,CAgBD,SAASlT,EAAuCjC,EAAYkB,GAC1D,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BgB,EAAKzB,EAAE,GACP0B,EAAK1B,EAAE,GACP0F,EAAK1F,EAAE,GACPgK,EAAKhK,EAAE,GACPkC,EAAMvC,KAAKgC,KAAKF,EAAKA,EAAKC,EAAKA,EAAKgE,EAAKA,EAAKsE,EAAKA,GAczD,OAZI9H,EAAM,MACRnB,EAAO,GAAKU,EAAKS,EACjBnB,EAAO,GAAKW,EAAKQ,EACjBnB,EAAO,GAAK2E,EAAKxD,EACjBnB,EAAO,GAAKiJ,EAAK9H,IAEjBnB,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,GAGPA,CACR,CA0BD,SAASoB,EAAkCnC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GACde,EAAO,GAAKf,EAAE,GAEPe,CACR,CAmBD,SAASqB,EAAsCjD,EAAYY,EAAYmB,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CAoBD,SAASsB,EAAoClD,EAAYY,EAAYmB,GACnE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,CA4DD,SAASuB,EAAuCnD,EAAY+C,EAAahB,GACvE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OADAwB,EAAU9C,EAAG4B,GACNK,EAAUL,EAAQmB,EAAKnB,EAC/B,CA+BD,MAAO,CACLH,SACA2B,WApoBiB3B,EAqoBjB4B,IAxnBF,SAA0C3B,EAAWC,EAAWoD,EAAW+B,EAAW/E,GACpF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKF,EACZE,EAAO,GAAKD,EACZC,EAAO,GAAKmD,EACZnD,EAAO,GAAKkF,EAELlF,CACR,EAgnBC0B,KAxmBF,SAA2CzC,EAAYkB,GACrD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IACxBe,EAAO,GAAKpB,KAAK8C,KAAKzC,EAAE,IAEjBe,CACR,EAgmBC2B,MAxlBF,SAA4C1C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IACzBe,EAAO,GAAKpB,KAAK+C,MAAM1C,EAAE,IAElBe,CACR,EAglBC4B,MAxkBF,SAA4C3C,EAAYkB,GACtD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IACzBe,EAAO,GAAKpB,KAAKgD,MAAM3C,EAAE,IAElBe,CACR,EAgkBC6B,MAtjBF,SAA4C5C,EAAY6C,EAAM,EAAGC,EAAM,EAAG5B,GACxE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAC1Ce,EAAO,GAAKpB,KAAKkD,IAAIC,EAAKnD,KAAKmD,IAAID,EAAK7C,EAAE,KAEnCe,CACR,EA8iBCgC,IAriBF,SAA0C5D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GACrBgB,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAEdgB,CACR,EA6hBCiC,UAnhBF,SAAgD7D,EAAYY,EAAYkD,EAAe/B,GACrF,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAC1BlC,EAAO,GAAK5B,EAAE,GAAKY,EAAE,GAAKkD,EAEnBlC,CACR,EA2gBCE,WACAyC,IAjfUzC,EAkfV0C,oBA1eF,SAA6BxE,EAAYY,GACvC,OAAOJ,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,GACxBjE,KAAKO,IAAIf,EAAE,GAAKY,EAAE,IAAM6D,CAChC,EAseCC,OA9dF,SAAgB1E,EAAYY,GAC1B,OAAOZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,IAAMZ,EAAE,KAAOY,EAAE,EACtE,EA6dCoB,OACA2C,MA7bF,SAA4C3E,EAAYY,EAAYI,EAAYe,GAC9E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IACpC4B,EAAO,GAAK5B,EAAE,GAAKgB,EAAE,IAAMJ,EAAE,GAAKZ,EAAE,IAE7B4B,CACR,EAqbC+B,IA1aF,SAA0C3D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKmD,IAAI3D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EAkaC8B,IAvZF,SAA0C1D,EAAYY,EAAYmB,GAChE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAC7BgB,EAAO,GAAKpB,KAAKkD,IAAI1D,EAAE,GAAIY,EAAE,IAEtBgB,CACR,EA+YCK,YACA6B,MArXY7B,EAsXZ2C,UA7WF,SAAgD/D,EAAYqB,EAAWH,GACrE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EACnBN,EAAO,GAAKf,EAAE,GAAKqB,EAEZN,CACR,EAqWCO,UACA0C,OA7Ua1C,EA8UbC,IAtUF,SAAapC,EAAYY,GACvB,OAAQZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,GAAOZ,EAAE,GAAKY,EAAE,EAClE,EAqUCyB,SACAU,IAlTUV,EAmTVI,WACAuC,MAhSYvC,EAiSZC,WACAuC,KA5QWvC,EA6QXG,aACAqC,OAxParC,EAyPbC,YACAqC,OApNF,SAA6CtE,EAAYkB,GACvD,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GACfe,EAAO,IAAMf,EAAE,GAERe,CACR,EA4MCoB,OACAoC,MAlLYpC,EAmLZC,WACAoC,IAvJUpC,EAwJVC,SACAoC,IA5HUpC,EA6HVwC,KAtHF,SAA2C3D,GACzC,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAOhC,OALAM,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EACZA,EAAO,GAAK,EAELA,CACR,EA8GC+D,cApGF,SAAoD9E,EAAYF,EAAYoB,GAC1E,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAE1BI,EAAIb,EAAE,GACNc,EAAId,EAAE,GACNkE,EAAIlE,EAAE,GACNiG,EAAIjG,EAAE,GAOZ,OALAe,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMmG,EACtDlF,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAG,GAAKoE,EAAIpE,EAAE,IAAMmG,EACtDlF,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMmG,EACtDlF,EAAO,GAAKjB,EAAE,GAAKe,EAAIf,EAAE,GAAKgB,EAAIhB,EAAE,IAAMoE,EAAIpE,EAAE,IAAMmG,EAE/ClF,CACR,EAuFCuB,YACAgD,SAjEF,SAA+CnG,EAAYoG,EAAgBrE,GACzE,MAAMH,EAAUG,GAAO,IAAIT,EAAK,GAEhC,OAAIe,EAAOrC,GAAKoG,EACPjD,EAAUnD,EAAGoG,EAAQxE,GAGvBoB,EAAKhD,EAAG4B,EAChB,EA0DCyE,SAjDF,SAA+CrG,EAAYY,EAAYmB,GAErE,OAAOC,EAAKhC,EAAGY,EAAG,GADFmB,GAAO,IAAIT,EAAK,GAEjC,EAgDD,CA+BUgF,CAAchF,GACpBH,EAAMkC,IAAI/B,EAAMC,IAEXA,CACT,CC3tBA,SAAS0U,EAQLC,EACAC,EACAC,EACAC,EACAC,EACAC,GAEF,MAAO,CAELC,KAAMC,EAAiBP,GAEvBQ,KAAMC,EAAiBR,GAEvBS,KAAMC,EAAiBT,GAEvBxN,KAAMC,EAAiBwN,GAEvBvN,KAAMC,EAAiBuN,GAEvBQ,KAAMC,EAAiBR,GAE3B,CAEa,MAAAC,KAKXA,EAAIE,KAKJA,EAAIE,KAKJA,EAAIhO,KAKJA,EAAIE,KAKJA,EAAIgO,KAKJA,GACEb,EAEAe,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxER,KAAMS,EAKNP,KAAMQ,EAKNN,KAAMO,EAKNvO,KAAMwO,EAKNtO,KAAMuO,EAKNP,KAAMQ,GACJrB,EAEAsB,aAAcA,aAAcA,aAAcA,aAAcA,aAAcA,eAOxEf,KAAMgB,EAKNd,KAAMe,EAKNb,KAAMc,EAKN9O,KAAM+O,EAKN7O,KAAM8O,EAKNd,KAAMe,GACJ5B,EAEApW,EAAWiY,MAAOA,MAAOA,MAAOA,MAAOA"} \ No newline at end of file diff --git a/docs/assets/navigation.js b/docs/assets/navigation.js index 4fc2484..65ff8c5 100644 --- a/docs/assets/navigation.js +++ b/docs/assets/navigation.js @@ -1 +1 @@ -window.navigationData = "data:application/octet-stream;base64,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" \ No newline at end of file +window.navigationData = "data:application/octet-stream;base64,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" \ No newline at end of file diff --git a/docs/assets/search.js b/docs/assets/search.js index 8be40f5..d0c956c 100644 --- a/docs/assets/search.js +++ b/docs/assets/search.js @@ -1 +1 @@ -window.searchData = "data:application/octet-stream;base64,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"; \ No newline at end of file +window.searchData = "data:application/octet-stream;base64,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"; \ No newline at end of file diff --git a/docs/functions/mat3.get3DScaling.html b/docs/functions/mat3.get3DScaling.html new file mode 100644 index 0000000..149b90e --- /dev/null +++ b/docs/functions/mat3.get3DScaling.html @@ -0,0 +1,4 @@ +get3DScaling | wgpu-matrix

Function get3DScaling

  • get3DScaling<T>(m, dst?): Float32Array | T

  • Returns the "3d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns Float32Array | T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat3.getScaling.html b/docs/functions/mat3.getScaling.html index 3e0046b..284b76d 100644 --- a/docs/functions/mat3.getScaling.html +++ b/docs/functions/mat3.getScaling.html @@ -1 +1,4 @@ -getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): Float32Array | T

  • Type Parameters

    Parameters

    Returns Float32Array | T

Settings

Member Visibility
\ No newline at end of file +getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): Float32Array | T

  • Returns the "2d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns Float32Array | T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat3d.get3DScaling.html b/docs/functions/mat3d.get3DScaling.html new file mode 100644 index 0000000..9b9e2bb --- /dev/null +++ b/docs/functions/mat3d.get3DScaling.html @@ -0,0 +1,4 @@ +get3DScaling | wgpu-matrix

Function get3DScaling

  • get3DScaling<T>(m, dst?): Float64Array | T

  • Returns the "3d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns Float64Array | T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat3d.getScaling.html b/docs/functions/mat3d.getScaling.html index 40c6969..a294b87 100644 --- a/docs/functions/mat3d.getScaling.html +++ b/docs/functions/mat3d.getScaling.html @@ -1 +1,4 @@ -getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): Float64Array | T

  • Type Parameters

    Parameters

    Returns Float64Array | T

Settings

Member Visibility
\ No newline at end of file +getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): Float64Array | T

  • Returns the "2d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns Float64Array | T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat3n.get3DScaling.html b/docs/functions/mat3n.get3DScaling.html new file mode 100644 index 0000000..fb7eb0c --- /dev/null +++ b/docs/functions/mat3n.get3DScaling.html @@ -0,0 +1,4 @@ +get3DScaling | wgpu-matrix

Function get3DScaling

  • get3DScaling<T>(m, dst?): number[] | T

  • Returns the "3d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns number[] | T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat3n.getScaling.html b/docs/functions/mat3n.getScaling.html index ab4d506..cbbde21 100644 --- a/docs/functions/mat3n.getScaling.html +++ b/docs/functions/mat3n.getScaling.html @@ -1 +1,4 @@ -getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): number[] | T

  • Type Parameters

    Parameters

    Returns number[] | T

Settings

Member Visibility
\ No newline at end of file +getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): number[] | T

  • Returns the "2d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns number[] | T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat4.getScaling.html b/docs/functions/mat4.getScaling.html index 62864ed..be46de1 100644 --- a/docs/functions/mat4.getScaling.html +++ b/docs/functions/mat4.getScaling.html @@ -1 +1,4 @@ -getScaling | wgpu-matrix

Function getScaling

Settings

Member Visibility
\ No newline at end of file +getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): T

  • Returns the "3d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat4d.getScaling.html b/docs/functions/mat4d.getScaling.html index 753d45e..aec7d9f 100644 --- a/docs/functions/mat4d.getScaling.html +++ b/docs/functions/mat4d.getScaling.html @@ -1 +1,4 @@ -getScaling | wgpu-matrix

Function getScaling

Settings

Member Visibility
\ No newline at end of file +getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): T

  • Returns the "3d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/functions/mat4n.getScaling.html b/docs/functions/mat4n.getScaling.html index a599af7..0bf2787 100644 --- a/docs/functions/mat4n.getScaling.html +++ b/docs/functions/mat4n.getScaling.html @@ -1 +1,4 @@ -getScaling | wgpu-matrix

Function getScaling

Settings

Member Visibility
\ No newline at end of file +getScaling | wgpu-matrix

Function getScaling

  • getScaling<T>(m, dst?): T

  • Returns the "3d" scaling component of the matrix

    +

    Type Parameters

    Parameters

    • m: BaseArgType

      The Matrix

      +
    • Optional dst: T

      The vector to set. If not passed a new one is created.

      +

    Returns T

Settings

Member Visibility
\ No newline at end of file diff --git a/docs/modules/mat3.html b/docs/modules/mat3.html index 4c9acd3..473f8e9 100644 --- a/docs/modules/mat3.html +++ b/docs/modules/mat3.html @@ -7,6 +7,7 @@ equalsApproximately fromMat4 fromQuat +get3DScaling getAxis getScaling getTranslation diff --git a/docs/modules/mat3d.html b/docs/modules/mat3d.html index 29b9d70..7460727 100644 --- a/docs/modules/mat3d.html +++ b/docs/modules/mat3d.html @@ -7,6 +7,7 @@ equalsApproximately fromMat4 fromQuat +get3DScaling getAxis getScaling getTranslation diff --git a/docs/modules/mat3n.html b/docs/modules/mat3n.html index dc40657..cf9360c 100644 --- a/docs/modules/mat3n.html +++ b/docs/modules/mat3n.html @@ -7,6 +7,7 @@ equalsApproximately fromMat4 fromQuat +get3DScaling getAxis getScaling getTranslation diff --git a/package-lock.json b/package-lock.json index 6d8d13b..d3fb832 100644 --- a/package-lock.json +++ b/package-lock.json @@ -1,12 +1,12 @@ { "name": "wgpu-matrix", - "version": "3.0.3", + "version": "3.1.0", "lockfileVersion": 3, "requires": true, "packages": { "": { "name": "wgpu-matrix", - "version": "3.0.3", + "version": "3.1.0", "license": "MIT", "devDependencies": { "@rollup/plugin-terser": "^0.4.4", diff --git a/package.json b/package.json index f0b26a0..d688327 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "wgpu-matrix", - "version": "3.0.3", + "version": "3.1.0", "description": "fast matrix math library for WebGPU", "main": "dist/3.x/wgpu-matrix.module.js", "module": "dist/3.x/wgpu-matrix.module.js", diff --git a/src/mat3-impl.ts b/src/mat3-impl.ts index 4b1db03..40c935e 100644 --- a/src/mat3-impl.ts +++ b/src/mat3-impl.ts @@ -25,7 +25,9 @@ import { QuatArg } from './quat'; import { Mat3Arg, Mat3Type } from './mat3'; import { Mat4Arg } from './mat4'; import { Vec2Arg } from './vec2'; +import { Vec3Arg } from './vec3'; import { getAPI as getVec2API } from './vec2-impl'; +import { getAPI as getVec3API } from './vec3-impl'; import { BaseArgType } from './types'; export { Mat3Arg, Mat3Type }; @@ -37,6 +39,7 @@ type Mat3Ctor = new (n: number) => T; * */ function getAPIImpl(Ctor: Mat3Ctor) { const vec2 = getVec2API(Ctor); + const vec3 = getVec3API(Ctor); /** * Create a Mat3 from values @@ -502,11 +505,11 @@ function setAxis(m: Mat3Arg, v: Vec2Arg, axis: numb return newDst; } -///** -// * Returns the scaling component of the matrix -// * @param m - The Matrix -// * @param dst - The vector to set. If not passed a new one is created. -// */ +/** + * Returns the "2d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ function getScaling(m: Mat3Arg, dst?: T) { const newDst = (dst ?? vec2.create()); @@ -521,6 +524,32 @@ function getScaling(m: Mat3Arg, dst?: T) { return newDst; } + +/** + * Returns the "3d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ +function get3DScaling(m: Mat3Arg, dst?: T) { + const newDst = (dst ?? vec3.create()); + + const xx = m[0]; + const xy = m[1]; + const xz = m[2]; + const yx = m[4]; + const yy = m[5]; + const yz = m[6]; + const zx = m[8]; + const zy = m[9]; + const zz = m[10]; + + newDst[0] = Math.sqrt(xx * xx + xy * xy + xz * xz); + newDst[1] = Math.sqrt(yx * yx + yy * yy + yz * yz); + newDst[2] = Math.sqrt(zx * zx + zy * zy + zz * zz); + + return newDst; +} + /** * Creates a 3-by-3 matrix which translates by the given vector v. * @param v - The vector by which to translate. @@ -750,6 +779,7 @@ return { getAxis, setAxis, getScaling, + get3DScaling, translation, translate, rotation, diff --git a/src/mat4-impl.ts b/src/mat4-impl.ts index 6822b02..4d954b9 100644 --- a/src/mat4-impl.ts +++ b/src/mat4-impl.ts @@ -687,11 +687,11 @@ function setAxis(m: Mat4Arg, v: Vec3Arg, axis: numb return newDst; } -///** -// * Returns the scaling component of the matrix -// * @param m - The Matrix -// * @param dst - The vector to set. If not passed a new one is created. -// */ +/** + * Returns the "3d" scaling component of the matrix + * @param m - The Matrix + * @param dst - The vector to set. If not passed a new one is created. + */ function getScaling(m: Mat4Arg, dst?: T) { const newDst = (dst ?? vec3.create()) as T; diff --git a/test/tests/mat3-test.js b/test/tests/mat3-test.js index a93df57..3ccde0c 100644 --- a/test/tests/mat3-test.js +++ b/test/tests/mat3-test.js @@ -70,6 +70,24 @@ function check(mat3, Type) { testV2WithDest(func, expected); } + function testV3WithoutDest(func, expected) { + const d = func(); + assertEqual(d, expected); + } + + function testV3WithDest(func, expected) { + const d = new Type(3).fill(0); + const c = func(d); + assertStrictEqual(c, d); + assertEqual(c, expected); + } + + function testVec3WithAndWithoutDest(func, expected) { + expected = createCopyOfType(expected); + testV3WithoutDest(func, expected); + testV3WithDest(func, expected); + } + it('should create', () => { const tests = [ {e: [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], args: []}, @@ -365,6 +383,23 @@ function check(mat3, Type) { }, expected); }); + it('should get 3D scaling', () => { + const m = [ + 1, 2, 3, 4, + 5, 6, 7, 8, + 9, 10, 11, 12, + 13, 14, 15, 16, + ]; + const expected = [ + Math.sqrt(1 * 1 + 2 * 2 + 3 * 3), + Math.sqrt(5 * 5 + 6 * 6 + 7 * 7), + Math.sqrt(9 * 9 + 10 * 10 + 11 * 11), + ]; + testVec3WithAndWithoutDest((newDst) => { + return mat3.get3DScaling(m, newDst); + }, expected); + }); + it('should make translation matrix', () => { const expected = [ 1, 0, 0, 0, diff --git a/test/tests/mat4-test.js b/test/tests/mat4-test.js index ce79fbc..467875f 100644 --- a/test/tests/mat4-test.js +++ b/test/tests/mat4-test.js @@ -20,23 +20,24 @@ function check(mat4, Type) { 12, 13, 14, 15, ]; + function createCopyOfType(v) { + return Type === Array ? new Type(...v) : new Type(v); + } + function testMat4WithoutDest(func, expected, ...args) { const d = func(...args); assertEqualApproximately(d, expected); } function testMat4WithDest(func, expected, ...args) { - expected = new Float32Array(expected); - const d = new Float32Array(16); + expected = createCopyOfType(expected); + const d = new Type(16).fill(0); const c = func(...args, d); assertStrictEqual(c, d); assertEqualApproximately(c, expected); } function testMat4WithAndWithoutDest(func, expected, ...args) { - if (mat4.identity() instanceof Float32Array) { - //expected = new Float32Array(expected); - } testMat4WithoutDest(func, expected, ...args); testMat4WithDest(func, expected, ...args); } @@ -47,14 +48,14 @@ function check(mat4, Type) { } function testVec3WithDest(func, expected) { - const d = new Float32Array(3); + const d = new Type(3).fill(0); const c = func(d); assertStrictEqual(c, d); assertEqualApproximately(c, expected, 2e7); } function testVec3WithAndWithoutDest(func, expected) { - expected = new Float32Array(expected); + expected = createCopyOfType(expected); testVec3WithoutDest(func, expected); testVec3WithDest(func, expected); } @@ -361,7 +362,7 @@ function check(mat4, Type) { Math.sqrt(1 * 1 + 2 * 2 + 3 * 3), Math.sqrt(5 * 5 + 6 * 6 + 7 * 7), Math.sqrt(9 * 9 + 10 * 10 + 11 * 11), - ].map(v => new Type([v])[0]); + ]; testVec3WithAndWithoutDest((newDst) => { return mat4.getScaling(m, newDst); }, expected);