From d9aaa7e0d729bd06ea3de70bc5ef64917ea4848d Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 19:48:53 -0400 Subject: [PATCH 01/39] added IQ's code which I am annotating for reference. Added some skeleton code and some rotation utils. --- IQ_example_annotated.glsl | 349 ++++++++++++++++++++++++++++++++++++++ raymarch.glsl | 99 ++++++++++- 2 files changed, 446 insertions(+), 2 deletions(-) create mode 100644 IQ_example_annotated.glsl diff --git a/IQ_example_annotated.glsl b/IQ_example_annotated.glsl new file mode 100644 index 0000000..be93e67 --- /dev/null +++ b/IQ_example_annotated.glsl @@ -0,0 +1,349 @@ +// Created by inigo quilez - iq/2013 +// License Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. + +// A list of usefull distance function to simple primitives, and an example on how to +// do some interesting boolean operations, repetition and displacement. +// +// More info here: http://www.iquilezles.org/www/articles/distfunctions/distfunctions.htm + +float sdPlane( vec3 p ) +{ + return p.y; +} + +float sdSphere( vec3 p, float s ) +{ + return length(p)-s; +} + +float sdBox( vec3 p, vec3 b ) +{ + vec3 d = abs(p) - b; + return min(max(d.x,max(d.y,d.z)),0.0) + length(max(d,0.0)); +} + +float sdEllipsoid( in vec3 p, in vec3 r ) +{ + return (length( p/r ) - 1.0) * min(min(r.x,r.y),r.z); +} + +float udRoundBox( vec3 p, vec3 b, float r ) +{ + return length(max(abs(p)-b,0.0))-r; +} + +float sdTorus( vec3 p, vec2 t ) +{ + return length( vec2(length(p.xz)-t.x,p.y) )-t.y; +} + +float sdHexPrism( vec3 p, vec2 h ) +{ + vec3 q = abs(p); +#if 0 + return max(q.z-h.y,max((q.x*0.866025+q.y*0.5),q.y)-h.x); +#else + float d1 = q.z-h.y; + float d2 = max((q.x*0.866025+q.y*0.5),q.y)-h.x; + return length(max(vec2(d1,d2),0.0)) + min(max(d1,d2), 0.); +#endif +} + +float sdCapsule( vec3 p, vec3 a, vec3 b, float r ) +{ + vec3 pa = p-a, ba = b-a; + float h = clamp( dot(pa,ba)/dot(ba,ba), 0.0, 1.0 ); + return length( pa - ba*h ) - r; +} + +float sdTriPrism( vec3 p, vec2 h ) +{ + vec3 q = abs(p); +#if 0 + return max(q.z-h.y,max(q.x*0.866025+p.y*0.5,-p.y)-h.x*0.5); +#else + float d1 = q.z-h.y; + float d2 = max(q.x*0.866025+p.y*0.5,-p.y)-h.x*0.5; + return length(max(vec2(d1,d2),0.0)) + min(max(d1,d2), 0.); +#endif +} + +float sdCylinder( vec3 p, vec2 h ) +{ + vec2 d = abs(vec2(length(p.xz),p.y)) - h; + return min(max(d.x,d.y),0.0) + length(max(d,0.0)); +} + +float sdCone( in vec3 p, in vec3 c ) +{ + vec2 q = vec2( length(p.xz), p.y ); + float d1 = -q.y-c.z; + float d2 = max( dot(q,c.xy), q.y); + return length(max(vec2(d1,d2),0.0)) + min(max(d1,d2), 0.); +} + +float sdConeSection( in vec3 p, in float h, in float r1, in float r2 ) +{ + float d1 = -p.y - h; + float q = p.y - h; + float si = 0.5*(r1-r2)/h; + float d2 = max( sqrt( dot(p.xz,p.xz)*(1.0-si*si)) + q*si - r2, q ); + return length(max(vec2(d1,d2),0.0)) + min(max(d1,d2), 0.); +} + + +float length2( vec2 p ) +{ + return sqrt( p.x*p.x + p.y*p.y ); +} + +float length6( vec2 p ) +{ + p = p*p*p; p = p*p; + return pow( p.x + p.y, 1.0/6.0 ); +} + +float length8( vec2 p ) +{ + p = p*p; p = p*p; p = p*p; + return pow( p.x + p.y, 1.0/8.0 ); +} + +float sdTorus82( vec3 p, vec2 t ) +{ + vec2 q = vec2(length2(p.xz)-t.x,p.y); + return length8(q)-t.y; +} + +float sdTorus88( vec3 p, vec2 t ) +{ + vec2 q = vec2(length8(p.xz)-t.x,p.y); + return length8(q)-t.y; +} + +float sdCylinder6( vec3 p, vec2 h ) +{ + return max( length6(p.xz)-h.x, abs(p.y)-h.y ); +} + +//---------------------------------------------------------------------- + +float opS( float d1, float d2 ) +{ + return max(-d2,d1); +} + +vec2 opU( vec2 d1, vec2 d2 ) +{ + return (d1.x0.0 ) tmax = min( tmax, tp1 ); + float tp2 = (1.6-ro.y)/rd.y; if( tp2>0.0 ) { if( ro.y>1.6 ) tmin = max( tmin, tp2 ); + else tmax = min( tmax, tp2 ); } +#endif + + float precis = 0.002; + float t = tmin; + float m = -1.0; + for( int i=0; i<50; i++ ) + { + vec2 res = map( ro+rd*t ); + if( res.xtmax ) break; + t += res.x; + m = res.y; + } + + if( t>tmax ) m=-1.0; + return vec2( t, m ); +} + + +float softshadow( in vec3 ro, in vec3 rd, in float mint, in float tmax ) +{ + float res = 1.0; + float t = mint; + for( int i=0; i<16; i++ ) + { + float h = map( ro + rd*t ).x; + res = min( res, 8.0*h/t ); + t += clamp( h, 0.02, 0.10 ); + if( h<0.001 || t>tmax ) break; + } + return clamp( res, 0.0, 1.0 ); + +} + +vec3 calcNormal( in vec3 pos ) +{ + vec3 eps = vec3( 0.001, 0.0, 0.0 ); + vec3 nor = vec3( + map(pos+eps.xyy).x - map(pos-eps.xyy).x, + map(pos+eps.yxy).x - map(pos-eps.yxy).x, + map(pos+eps.yyx).x - map(pos-eps.yyx).x ); + return normalize(nor); +} + +float calcAO( in vec3 pos, in vec3 nor ) +{ + float occ = 0.0; + float sca = 1.0; + for( int i=0; i<5; i++ ) + { + float hr = 0.01 + 0.12*float(i)/4.0; + vec3 aopos = nor * hr + pos; + float dd = map( aopos ).x; + occ += -(dd-hr)*sca; + sca *= 0.95; + } + return clamp( 1.0 - 3.0*occ, 0.0, 1.0 ); +} + + + + +vec3 render( in vec3 ro, in vec3 rd ) +{ + vec3 col = vec3(0.8, 0.9, 1.0); + vec2 res = castRay(ro,rd); + float t = res.x; + float m = res.y; + if( m>-0.5 ) + { + vec3 pos = ro + t*rd; + vec3 nor = calcNormal( pos ); + vec3 ref = reflect( rd, nor ); + + // material + col = 0.45 + 0.3*sin( vec3(0.05,0.08,0.10)*(m-1.0) ); + + if( m<1.5 ) + { + + float f = mod( floor(5.0*pos.z) + floor(5.0*pos.x), 2.0); + col = 0.4 + 0.1*f*vec3(1.0); + } + + // lighitng + float occ = calcAO( pos, nor ); + vec3 lig = normalize( vec3(-0.6, 0.7, -0.5) ); + float amb = clamp( 0.5+0.5*nor.y, 0.0, 1.0 ); + float dif = clamp( dot( nor, lig ), 0.0, 1.0 ); + float bac = clamp( dot( nor, normalize(vec3(-lig.x,0.0,-lig.z))), 0.0, 1.0 )*clamp( 1.0-pos.y,0.0,1.0); + float dom = smoothstep( -0.1, 0.1, ref.y ); + float fre = pow( clamp(1.0+dot(nor,rd),0.0,1.0), 2.0 ); + float spe = pow(clamp( dot( ref, lig ), 0.0, 1.0 ),16.0); + + dif *= softshadow( pos, lig, 0.02, 2.5 ); + dom *= softshadow( pos, ref, 0.02, 2.5 ); + + vec3 brdf = vec3(0.0); + brdf += 1.20*dif*vec3(1.00,0.90,0.60); + brdf += 1.20*spe*vec3(1.00,0.90,0.60)*dif; + brdf += 0.30*amb*vec3(0.50,0.70,1.00)*occ; + brdf += 0.40*dom*vec3(0.50,0.70,1.00)*occ; + brdf += 0.30*bac*vec3(0.25,0.25,0.25)*occ; + brdf += 0.40*fre*vec3(1.00,1.00,1.00)*occ; + brdf += 0.02; + col = col*brdf; + + col = mix( col, vec3(0.8,0.9,1.0), 1.0-exp( -0.0005*t*t ) ); + + } + + return vec3( clamp(col,0.0,1.0) ); +} + +mat3 setCamera( in vec3 ro, in vec3 ta, float cr ) +{ + vec3 cw = normalize(ta-ro); + vec3 cp = vec3(sin(cr), cos(cr),0.0); + vec3 cu = normalize( cross(cw,cp) ); + vec3 cv = normalize( cross(cu,cw) ); + return mat3( cu, cv, cw ); +} + +void mainImage( out vec4 fragColor, in vec2 fragCoord ) +{ + vec2 q = fragCoord.xy/iResolution.xy; + vec2 p = -1.0+2.0*q; + p.x *= iResolution.x/iResolution.y; + vec2 mo = iMouse.xy/iResolution.xy; + + float time = 15.0 + iGlobalTime; + + // camera + vec3 ro = vec3( -0.5+3.5*cos(0.1*time + 6.0*mo.x), 0.0, 0.5 + 3.5*sin(0.1*time + 6.0*mo.x) ); // camera position + vec3 ta = vec3( 0, -1, 0 ); // camera aim + + // camera-to-world transformation + mat3 ca = setCamera( ro, ta, 0.0 ); + + // ray direction + vec3 rd = ca * normalize( vec3(p.xy,2.0) ); + + // render + vec3 col = render( ro, rd ); + + col = pow( col, vec3(0.4545) ); + + fragColor=vec4( col, 1.0 ); +} \ No newline at end of file diff --git a/raymarch.glsl b/raymarch.glsl index aac90c8..ec2e4fe 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -1,3 +1,98 @@ +/*utils***********************************************************************/ +mat3 eulerXYZRotationMatrix(in vec3 rotation) { + //https://en.wikipedia.org/wiki/Euler_angles#Rotation_matrix + mat3 eulerXYZ; + float c1 = cos(rotation.x); + float c2 = cos(rotation.y); + float c3 = cos(rotation.z); + float s1 = sin(rotation.x); + float s2 = sin(rotation.y); + float s3 = sin(rotation.z); + + eulerXYZ[0][0] = c2 * c3; + eulerXYZ[0][1] = s1 * s3 + c1 * c3 * c2; + eulerXYZ[0][2] = c3 * s1 * s2 - c1 * s3; + + eulerXYZ[1][0] = -s2; + eulerXYZ[1][1] = c1 * c2; + eulerXYZ[1][2] = c2 * s1; + + eulerXYZ[2][0] = c2 * c3; + eulerXYZ[2][1] = c1 * s2 * s3 - c3 * s1; + eulerXYZ[2][2] = c1 * c3 + s1 * s2 * s3; + + return eulerXYZ; +} + +mat3 eulerZYXRotationMatrix(in vec3 rotation) { + //https://en.wikipedia.org/wiki/Euler_angles#Rotation_matrix + mat3 eulerZYX; + float c1 = cos(rotation.x); + float c2 = cos(rotation.y); + float c3 = cos(rotation.z); + float s1 = sin(rotation.x); + float s2 = sin(rotation.y); + float s3 = sin(rotation.z); + + eulerZYX[0][0] = c1 * c2; + eulerZYX[0][1] = c2 * s2; + eulerZYX[0][2] = -s2; + + eulerZYX[1][0] = c1 * s2 * s3 - c3 * s1; + eulerZYX[1][1] = c1 * c3 + s1 * s2 * s3; + eulerZYX[1][2] = c2 * s3; + + eulerZYX[2][0] = s1 * s3 + c1 * c3 * s2; + eulerZYX[2][1] = c3 * s1 * s2 - c1 * s3; + eulerZYX[2][2] = c2 * c3; + + return eulerXYZ; +} + + +/*primitive distance estimators***********************************************/ +// each takes in transformations and outputs the distance from the point to the +// ray in world space. + + +float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation) { + // transform the point into local coordinates + vec3 localPoint = point; + localPoint -= translation; // untranslate + // unrotate + localPoint /= scale; // unscale + + // compute distance from the unit sphere + + // transform into world distance + // the distance is along the vector point - center, so use that in the scaleback. +} + + + +/*****************************************************************************/ + +// returns the conservative distance to the nearest scene object. +// declare all scene objects in here. +float sceneGraphCheck(in vec3 pos) +{ + +} + +// returns a t along the ray that hits the first intersection. +// uses naive stepping [McGuire 4] +float castRayNaive(in vec3 rayPosition, in vec3 rayDirection) +{ + +} + +// returns a t along the ray that hits the first intersection +// uses spherical stepping [McGuire 6] +float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) +{ + +} + vec3 render(in vec3 ro, in vec3 rd) { // TODO return rd; // camera ray direction debug view @@ -29,8 +124,8 @@ void mainImage(out vec4 fragColor, in vec2 fragCoord) { vec3 ro = vec3( -0.5 + 3.5 * cos(0.1 * time + 6.0 * mo.x), 1.0 + 2.0 * mo.y, - 0.5 + 3.5 * sin(0.1 * time + 6.0 * mo.x)); - vec3 ta = vec3(-0.5, -0.4, 0.5); + 0.5 + 3.5 * sin(0.1 * time + 6.0 * mo.x)); // camera position + vec3 ta = vec3(-0.5, -0.4, 0.5); // camera aim // camera-to-world transformation mat3 ca = setCamera(ro, ta, 0.0); From 4385340a162f4f544e2315772a27c1e0b4113b39 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 20:31:26 -0400 Subject: [PATCH 02/39] producing a crappy sphere. --- raymarch.glsl | 59 +++++++++++++++++++++++++++++++++++++-------------- 1 file changed, 43 insertions(+), 16 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index ec2e4fe..468c81b 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -10,7 +10,7 @@ mat3 eulerXYZRotationMatrix(in vec3 rotation) { float s3 = sin(rotation.z); eulerXYZ[0][0] = c2 * c3; - eulerXYZ[0][1] = s1 * s3 + c1 * c3 * c2; + eulerXYZ[0][1] = s1 * s3 + c1 * c3 * s2; eulerXYZ[0][2] = c3 * s1 * s2 - c1 * s3; eulerXYZ[1][0] = -s2; @@ -35,7 +35,7 @@ mat3 eulerZYXRotationMatrix(in vec3 rotation) { float s3 = sin(rotation.z); eulerZYX[0][0] = c1 * c2; - eulerZYX[0][1] = c2 * s2; + eulerZYX[0][1] = c2 * s1; eulerZYX[0][2] = -s2; eulerZYX[1][0] = c1 * s2 * s3 - c3 * s1; @@ -46,7 +46,7 @@ mat3 eulerZYXRotationMatrix(in vec3 rotation) { eulerZYX[2][1] = c3 * s1 * s2 - c1 * s3; eulerZYX[2][2] = c2 * c3; - return eulerXYZ; + return eulerZYX; } @@ -54,18 +54,25 @@ mat3 eulerZYXRotationMatrix(in vec3 rotation) { // each takes in transformations and outputs the distance from the point to the // ray in world space. - +// unit sphere has radius of 1 float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation) { // transform the point into local coordinates vec3 localPoint = point; localPoint -= translation; // untranslate - // unrotate - localPoint /= scale; // unscale + localPoint = eulerZYXRotationMatrix(-1.0 * rotation) * localPoint; // unrotate + localPoint.x /= scale.x; // unscale + localPoint.y /= scale.y; + localPoint.z /= scale.z; // compute distance from the unit sphere - - // transform into world distance - // the distance is along the vector point - center, so use that in the scaleback. + vec3 localDist = localPoint - normalize(localPoint); + + // transform into world space + // the distance is along the vector point - center, so use that in the scaleback? + localDist.x *= scale.x; + localDist.y *= scale.y; + localDist.z *= scale.z; + return length(localDist); } @@ -74,28 +81,48 @@ float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation // returns the conservative distance to the nearest scene object. // declare all scene objects in here. -float sceneGraphCheck(in vec3 pos) +float sceneGraphCheck(in vec3 point) { - + float sphere1 = sphere(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0), vec3(0.0, 0.0, 0.0)); + return sphere1; } // returns a t along the ray that hits the first intersection. // uses naive stepping [McGuire 4] -float castRayNaive(in vec3 rayPosition, in vec3 rayDirection) +vec2 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) { - + float tmin = 1.0; + float stepSize = 0.01; // 2000 * 0.01 gives us a max distance of 20 + float epsilon = 0.002; + + float t = tmin; + float distance = 1000.0; + float maxedOut = 1.0; // toggle for whether the ray maxed out or not + vec3 point = rayPosition; + for (int i = 0; i < 2000; i++) { + point = rayPosition + rayDirection * t; + distance = sceneGraphCheck(point); + t += stepSize; + if (distance < epsilon) { + maxedOut = -1.0; + } + } + return vec2(t, maxedOut); } // returns a t along the ray that hits the first intersection // uses spherical stepping [McGuire 6] float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) { - + return -1.0; } vec3 render(in vec3 ro, in vec3 rd) { - // TODO - return rd; // camera ray direction debug view + vec2 distanceMaterial = castRayNaive(ro, rd); + if (distanceMaterial[1] < 0.0) { + return vec3(1.0, 1.0, 1.0); + } + return vec3(0.0, 0.0, 0.0); // camera ray direction debug view } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { From a1a505f1d9d09e240b9e5a50649ef384d927ed66 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 20:36:44 -0400 Subject: [PATCH 03/39] circle slightly better --- raymarch.glsl | 1 + 1 file changed, 1 insertion(+) diff --git a/raymarch.glsl b/raymarch.glsl index 468c81b..009216b 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -72,6 +72,7 @@ float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation localDist.x *= scale.x; localDist.y *= scale.y; localDist.z *= scale.z; + if (length(localPoint) < 1.0) return -length(localDist); return length(localDist); } From 9c7d4d36284b59dfe4d316b4ab4ac7b3a06e6146 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 20:43:07 -0400 Subject: [PATCH 04/39] added notes --- notes.txt | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 notes.txt diff --git a/notes.txt b/notes.txt new file mode 100644 index 0000000..ee8b0cf --- /dev/null +++ b/notes.txt @@ -0,0 +1,15 @@ +TODO: +-get a circle working [done] +-add material color return in scenegraph check + -and use it in render +-add union op +-add plane check +-add cube check +-add noirmal +-add light +-add sphere tracing + +-add height-mapped terrain +-add fractal +-add soft shadows +-add ambient occlusion \ No newline at end of file From 7748733a9545b3a8d840be90144c6d79cfbb1558 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 21:19:18 -0400 Subject: [PATCH 05/39] added color spec. need to test union and plane --- raymarch.glsl | 51 ++++++++++++++++++++++++++++++++++++--------------- 1 file changed, 36 insertions(+), 15 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 009216b..33d73e6 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -76,21 +76,44 @@ float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation return length(localDist); } +// unit plane is at 0, 0, 0 and has y up normal +float plane(in vec3 point, in vec3 translation, in vec3 rotation) { + // plane is easier to deal with since there's no scale. yay! + vec3 up = vec3(0.0, 1.0, 0.0); + up = rotation * up; + return dot(point - translation, up); +} + +/*Boolean operations**********************************************************/ + +// for getting the union of two objects +vec4 unionDistance(vec4 d1, vec4 d2) { + float minDistance = min(d1[0], d2[0]); + vec3 color; + if (minDistance != d2[0]) { + color = d1.rgb; + } else { + color = d2.rgb; + } + return vec4(color, minDistance); +} -/*****************************************************************************/ +/*Code************************************************************************/ // returns the conservative distance to the nearest scene object. // declare all scene objects in here. -float sceneGraphCheck(in vec3 point) +// returns (r, g, b, distance) +vec4 sceneGraphCheck(in vec3 point) { float sphere1 = sphere(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0), vec3(0.0, 0.0, 0.0)); - return sphere1; + return vec4(1.0, 0.0, 0.0, sphere1); } // returns a t along the ray that hits the first intersection. // uses naive stepping [McGuire 4] -vec2 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) +// returns (r, g, b, distance), but if distance was maxed out, color is all -1 +vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) { float tmin = 1.0; float stepSize = 0.01; // 2000 * 0.01 gives us a max distance of 20 @@ -98,17 +121,18 @@ vec2 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) float t = tmin; float distance = 1000.0; - float maxedOut = 1.0; // toggle for whether the ray maxed out or not - vec3 point = rayPosition; + bool maxedOut = true; // toggle for whether the ray maxed out or not + vec3 color = vec3(-1.0, -1.0, -1.0); for (int i = 0; i < 2000; i++) { - point = rayPosition + rayDirection * t; - distance = sceneGraphCheck(point); + vec4 colorAndDistance = sceneGraphCheck(rayPosition + rayDirection * t); + distance = colorAndDistance[3]; t += stepSize; if (distance < epsilon) { - maxedOut = -1.0; + maxedOut = false; + color = colorAndDistance.rgb; } } - return vec2(t, maxedOut); + return vec4(color, t); } // returns a t along the ray that hits the first intersection @@ -119,11 +143,8 @@ float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) } vec3 render(in vec3 ro, in vec3 rd) { - vec2 distanceMaterial = castRayNaive(ro, rd); - if (distanceMaterial[1] < 0.0) { - return vec3(1.0, 1.0, 1.0); - } - return vec3(0.0, 0.0, 0.0); // camera ray direction debug view + vec4 materialDistance = castRayNaive(ro, rd); + return materialDistance.rgb; } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { From 8651772c348bb05825f7d716fa08eb9f67d43e96 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 21:27:32 -0400 Subject: [PATCH 06/39] union working --- raymarch.glsl | 19 ++++++++++++------- 1 file changed, 12 insertions(+), 7 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 33d73e6..905ee94 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -88,12 +88,12 @@ float plane(in vec3 point, in vec3 translation, in vec3 rotation) { // for getting the union of two objects vec4 unionDistance(vec4 d1, vec4 d2) { - float minDistance = min(d1[0], d2[0]); - vec3 color; - if (minDistance != d2[0]) { - color = d1.rgb; - } else { + float minDistance = min(d1[3], d2[3]); + vec3 color = vec3(0.0, 0.0, 0.0); + if (minDistance == d2[3]) { color = d2.rgb; + } else { + color = d1.rgb; } return vec4(color, minDistance); } @@ -106,8 +106,13 @@ vec4 unionDistance(vec4 d1, vec4 d2) { // returns (r, g, b, distance) vec4 sceneGraphCheck(in vec3 point) { - float sphere1 = sphere(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0), vec3(0.0, 0.0, 0.0)); - return vec4(1.0, 0.0, 0.0, sphere1); + vec4 sphere0 = vec4(1.0, 0.0, 0.0, -1.0); + sphere0[3] = sphere(point, vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5), vec3(0.0, 0.0, 0.0)); + + vec4 sphere1 = vec4(1.0, 1.0, 0.0, -1.0); + sphere1[3] = sphere(point, vec3(-0.8, 0.2, 0.0), vec3(1.0, 0.5, 1.0), vec3(0.0, 0.0, 0.0)); + + return unionDistance(sphere1, sphere0); } // returns a t along the ray that hits the first intersection. From 0035707af6608e7e59f665fe1ca3a4882287191d Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 22:41:01 -0400 Subject: [PATCH 07/39] something is wrong with union, depth is exactly reversed. --- notes.txt | 10 +++++----- raymarch.glsl | 42 +++++++++++++++++++++++++++--------------- 2 files changed, 32 insertions(+), 20 deletions(-) diff --git a/notes.txt b/notes.txt index ee8b0cf..15f847e 100644 --- a/notes.txt +++ b/notes.txt @@ -1,11 +1,11 @@ TODO: --get a circle working [done] --add material color return in scenegraph check - -and use it in render --add union op +-get a sphere working [done] +-add material color return in scenegraph check [done] + -and use it in render [done] +-add union op [done] -add plane check -add cube check --add noirmal +-add normal -add light -add sphere tracing diff --git a/raymarch.glsl b/raymarch.glsl index 905ee94..b85cdf3 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -52,7 +52,7 @@ mat3 eulerZYXRotationMatrix(in vec3 rotation) { /*primitive distance estimators***********************************************/ // each takes in transformations and outputs the distance from the point to the -// ray in world space. +// primitive in world space. // unit sphere has radius of 1 float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation) { @@ -72,7 +72,7 @@ float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation localDist.x *= scale.x; localDist.y *= scale.y; localDist.z *= scale.z; - if (length(localPoint) < 1.0) return -length(localDist); + if (length(localPoint) < 1.0) return -1.0 * length(localDist); return length(localDist); } @@ -86,14 +86,16 @@ float plane(in vec3 point, in vec3 translation, in vec3 rotation) { /*Boolean operations**********************************************************/ -// for getting the union of two objects +// for getting the union of two objects. the one with the smaller distance. vec4 unionDistance(vec4 d1, vec4 d2) { - float minDistance = min(d1[3], d2[3]); + float minDistance; vec3 color = vec3(0.0, 0.0, 0.0); - if (minDistance == d2[3]) { - color = d2.rgb; - } else { + if (d1[3] < d2[3]) { color = d1.rgb; + minDistance = d1[3]; + } else { + color = d2.rgb; + minDistance = d2[3]; } return vec4(color, minDistance); } @@ -106,13 +108,25 @@ vec4 unionDistance(vec4 d1, vec4 d2) { // returns (r, g, b, distance) vec4 sceneGraphCheck(in vec3 point) { + vec4 returnMe = vec4(0.0, 0.0, 0.0, 22.0); + vec4 sphere0 = vec4(1.0, 0.0, 0.0, -1.0); - sphere0[3] = sphere(point, vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5), vec3(0.0, 0.0, 0.0)); + sphere0[3] = sphere(point, vec3(0.0, 0.6, 0.0), vec3(0.5, 0.5, 0.5), vec3(0.0, 0.0, 0.0)); + returnMe = unionDistance(returnMe, sphere0); + + vec4 sphere1 = vec4(0.0, 1.0, 0.0, -1.0); + sphere1[3] = sphere(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 0.1, 1.0), vec3(0.0, 0.0, 0.0)); + returnMe = unionDistance(returnMe, sphere1); + + vec4 sphere2 = vec4(1.0, 0.0, 1.0, -1.0); + sphere2[3] = sphere(point, vec3(0.6, 0.6, 0.0), vec3(0.5, 0.5, 0.5), vec3(0.0, 0.0, 0.0)); + returnMe = unionDistance(returnMe, sphere2); - vec4 sphere1 = vec4(1.0, 1.0, 0.0, -1.0); - sphere1[3] = sphere(point, vec3(-0.8, 0.2, 0.0), vec3(1.0, 0.5, 1.0), vec3(0.0, 0.0, 0.0)); + vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); + plane0[3] = plane(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0)); + //returnMe = unionDistance(returnMe, plane0); - return unionDistance(sphere1, sphere0); + return returnMe; } // returns a t along the ray that hits the first intersection. @@ -121,19 +135,17 @@ vec4 sceneGraphCheck(in vec3 point) vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) { float tmin = 1.0; - float stepSize = 0.01; // 2000 * 0.01 gives us a max distance of 20 + float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 1.0 float epsilon = 0.002; float t = tmin; float distance = 1000.0; - bool maxedOut = true; // toggle for whether the ray maxed out or not vec3 color = vec3(-1.0, -1.0, -1.0); for (int i = 0; i < 2000; i++) { vec4 colorAndDistance = sceneGraphCheck(rayPosition + rayDirection * t); distance = colorAndDistance[3]; t += stepSize; if (distance < epsilon) { - maxedOut = false; color = colorAndDistance.rgb; } } @@ -149,7 +161,7 @@ float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) vec3 render(in vec3 ro, in vec3 rd) { vec4 materialDistance = castRayNaive(ro, rd); - return materialDistance.rgb; + return materialDistance.rgb * (materialDistance.a / 22.0); } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { From 24b1c218594b995121ec25264a3fb6e984cd37f2 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 22:44:51 -0400 Subject: [PATCH 08/39] problem was just forgetting to break on first thing struck. need to debug plane. --- raymarch.glsl | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/raymarch.glsl b/raymarch.glsl index b85cdf3..3aa362f 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -147,6 +147,7 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) t += stepSize; if (distance < epsilon) { color = colorAndDistance.rgb; + break; } } return vec4(color, t); @@ -161,7 +162,7 @@ float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) vec3 render(in vec3 ro, in vec3 rd) { vec4 materialDistance = castRayNaive(ro, rd); - return materialDistance.rgb * (materialDistance.a / 22.0); + return materialDistance.rgb;// * (materialDistance.a / 22.0); } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { From df6eea03d205adc050f72d22b7fb8c7c0f970733 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 22:47:28 -0400 Subject: [PATCH 09/39] fixed plane --- raymarch.glsl | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 3aa362f..adfd3f2 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -80,7 +80,8 @@ float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation float plane(in vec3 point, in vec3 translation, in vec3 rotation) { // plane is easier to deal with since there's no scale. yay! vec3 up = vec3(0.0, 1.0, 0.0); - up = rotation * up; + mat3 rotationMat = eulerZYXRotationMatrix(rotation); + up = rotationMat * up; return dot(point - translation, up); } @@ -124,7 +125,7 @@ vec4 sceneGraphCheck(in vec3 point) vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); plane0[3] = plane(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0)); - //returnMe = unionDistance(returnMe, plane0); + returnMe = unionDistance(returnMe, plane0); return returnMe; } From d44c4b3a88497b579f767b660bd158ce366d7507 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sat, 17 Oct 2015 23:11:28 -0400 Subject: [PATCH 10/39] cube seems to be working --- notes.txt | 2 +- raymarch.glsl | 24 ++++++++++++++++++++---- 2 files changed, 21 insertions(+), 5 deletions(-) diff --git a/notes.txt b/notes.txt index 15f847e..1aba522 100644 --- a/notes.txt +++ b/notes.txt @@ -3,7 +3,7 @@ TODO: -add material color return in scenegraph check [done] -and use it in render [done] -add union op [done] --add plane check +-add plane check [done] -add cube check -add normal -add light diff --git a/raymarch.glsl b/raymarch.glsl index adfd3f2..93658de 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -55,7 +55,7 @@ mat3 eulerZYXRotationMatrix(in vec3 rotation) { // primitive in world space. // unit sphere has radius of 1 -float sphere(in vec3 point, in vec3 translation, in vec3 scale, in vec3 rotation) { +float sphere(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) { // transform the point into local coordinates vec3 localPoint = point; localPoint -= translation; // untranslate @@ -85,6 +85,18 @@ float plane(in vec3 point, in vec3 translation, in vec3 rotation) { return dot(point - translation, up); } +float cube(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) { + // transform the point into local coordinates + vec3 localPoint = point; + localPoint -= translation; // untranslate + localPoint = eulerZYXRotationMatrix(-1.0 * rotation) * localPoint; // unrotate + // no unscale: we can use the scale to determine the sidelengths of the box + + vec3 firstQuadrantCorner = vec3(scale.x * 0.5, scale.y * 0.5, scale.z * 0.5); + vec3 d = abs(localPoint) - firstQuadrantCorner; + return min(max(max(d.x, d.y), d.z), 0.0) + length(max(d, vec3(0.0, 0.0, 0.0))); +} + /*Boolean operations**********************************************************/ // for getting the union of two objects. the one with the smaller distance. @@ -112,17 +124,21 @@ vec4 sceneGraphCheck(in vec3 point) vec4 returnMe = vec4(0.0, 0.0, 0.0, 22.0); vec4 sphere0 = vec4(1.0, 0.0, 0.0, -1.0); - sphere0[3] = sphere(point, vec3(0.0, 0.6, 0.0), vec3(0.5, 0.5, 0.5), vec3(0.0, 0.0, 0.0)); + sphere0[3] = sphere(point, vec3(0.0, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); returnMe = unionDistance(returnMe, sphere0); vec4 sphere1 = vec4(0.0, 1.0, 0.0, -1.0); - sphere1[3] = sphere(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 0.1, 1.0), vec3(0.0, 0.0, 0.0)); + sphere1[3] = sphere(point, vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.1, 1.0)); returnMe = unionDistance(returnMe, sphere1); vec4 sphere2 = vec4(1.0, 0.0, 1.0, -1.0); - sphere2[3] = sphere(point, vec3(0.6, 0.6, 0.0), vec3(0.5, 0.5, 0.5), vec3(0.0, 0.0, 0.0)); + sphere2[3] = sphere(point, vec3(0.6, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); returnMe = unionDistance(returnMe, sphere2); + vec4 cube0 = vec4(0.0, 1.0, 1.0, -1.0); + cube0[3] = cube(point, vec3(0.8, 1.5, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); + returnMe = unionDistance(returnMe, cube0); + vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); plane0[3] = plane(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0)); returnMe = unionDistance(returnMe, plane0); From 174944f333f8c4a7655b47171bba2d5f3e99c755 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sun, 18 Oct 2015 00:22:24 -0400 Subject: [PATCH 11/39] normals seem to be working --- notes.txt | 2 +- raymarch.glsl | 19 ++++++++++++++++--- 2 files changed, 17 insertions(+), 4 deletions(-) diff --git a/notes.txt b/notes.txt index 1aba522..d5cb937 100644 --- a/notes.txt +++ b/notes.txt @@ -4,7 +4,7 @@ TODO: -and use it in render [done] -add union op [done] -add plane check [done] --add cube check +-add cube check [done] -add normal -add light -add sphere tracing diff --git a/raymarch.glsl b/raymarch.glsl index 93658de..0a2ed16 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -119,7 +119,7 @@ vec4 unionDistance(vec4 d1, vec4 d2) { // returns the conservative distance to the nearest scene object. // declare all scene objects in here. // returns (r, g, b, distance) -vec4 sceneGraphCheck(in vec3 point) +vec4 sceneGraphDistanceFunction(in vec3 point) { vec4 returnMe = vec4(0.0, 0.0, 0.0, 22.0); @@ -146,6 +146,17 @@ vec4 sceneGraphCheck(in vec3 point) return returnMe; } +vec3 computeNormal(in vec3 point) { + // McGuire 8: you can totally use the gradient of the scenegraph distance function. + vec3 epsilon = vec3(0.001, 0.0, 0.0); + vec3 returnMe; + returnMe.x = sceneGraphDistanceFunction(point + epsilon.xyz).a - sceneGraphDistanceFunction(point - epsilon.xyz).a; + returnMe.y = sceneGraphDistanceFunction(point + epsilon.yxz).a - sceneGraphDistanceFunction(point - epsilon.yxz).a; + returnMe.z = sceneGraphDistanceFunction(point + epsilon.yzx).a - sceneGraphDistanceFunction(point - epsilon.yzx).a; + return normalize(returnMe); +} + + // returns a t along the ray that hits the first intersection. // uses naive stepping [McGuire 4] // returns (r, g, b, distance), but if distance was maxed out, color is all -1 @@ -159,7 +170,7 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) float distance = 1000.0; vec3 color = vec3(-1.0, -1.0, -1.0); for (int i = 0; i < 2000; i++) { - vec4 colorAndDistance = sceneGraphCheck(rayPosition + rayDirection * t); + vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; t += stepSize; if (distance < epsilon) { @@ -179,7 +190,9 @@ float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) vec3 render(in vec3 ro, in vec3 rd) { vec4 materialDistance = castRayNaive(ro, rd); - return materialDistance.rgb;// * (materialDistance.a / 22.0); + vec3 position = ro + rd * materialDistance.a; + vec3 norm = computeNormal(position); + return norm;// * (materialDistance.a / 22.0); } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { From d455d4d51a6e02237ac210b7bd2c61f709916e6a Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sun, 18 Oct 2015 00:50:27 -0400 Subject: [PATCH 12/39] added castRaySphere. could maybe use a little more testing --- notes.txt | 2 +- raymarch.glsl | 40 ++++++++++++++++++++++++++++++++-------- 2 files changed, 33 insertions(+), 9 deletions(-) diff --git a/notes.txt b/notes.txt index d5cb937..be411b8 100644 --- a/notes.txt +++ b/notes.txt @@ -5,7 +5,7 @@ TODO: -add union op [done] -add plane check [done] -add cube check [done] --add normal +-add normal [done] -add light -add sphere tracing diff --git a/raymarch.glsl b/raymarch.glsl index 0a2ed16..e33ca46 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -136,7 +136,7 @@ vec4 sceneGraphDistanceFunction(in vec3 point) returnMe = unionDistance(returnMe, sphere2); vec4 cube0 = vec4(0.0, 1.0, 1.0, -1.0); - cube0[3] = cube(point, vec3(0.8, 1.5, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); + cube0[3] = cube(point, vec3(0.8, 1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); returnMe = unionDistance(returnMe, cube0); vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); @@ -183,16 +183,40 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) // returns a t along the ray that hits the first intersection // uses spherical stepping [McGuire 6] -float castRaySphere(in vec3 rayPosition, in vec3 rayDirection) +vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) { - return -1.0; + float tmin = 0.0; + float epsilon = 0.002; + float maxDistance = 20.0; + + float t = tmin; + float distance = 1000.0; + vec3 color = vec3(-1.0, -1.0, -1.0); + for (int i = 0; i < 2000; i++) { + vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); + distance = colorAndDistance[3]; + t += distance; + if (t > maxDistance) { + break; + } + if (distance < epsilon) { + color = colorAndDistance.rgb; + break; + } + } + return vec4(color, t);} + +vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosition, in vec3 sunColor) { + return dot(norm, sunPosition - position) * color * sunColor; } -vec3 render(in vec3 ro, in vec3 rd) { +// takes in ray origin, ray direction, and sun position +vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { vec4 materialDistance = castRayNaive(ro, rd); + //vec4 materialDistance = castRaySphere(ro, rd); vec3 position = ro + rd * materialDistance.a; vec3 norm = computeNormal(position); - return norm;// * (materialDistance.a / 22.0); + return lambertShade(norm, position, materialDistance.rgb, sunPosition, sunColor); } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { @@ -220,9 +244,9 @@ void mainImage(out vec4 fragColor, in vec2 fragCoord) { // camera vec3 ro = vec3( -0.5 + 3.5 * cos(0.1 * time + 6.0 * mo.x), - 1.0 + 2.0 * mo.y, + 2.0 * mo.y, 0.5 + 3.5 * sin(0.1 * time + 6.0 * mo.x)); // camera position - vec3 ta = vec3(-0.5, -0.4, 0.5); // camera aim + vec3 ta = vec3(0.0, 0.0, 0.0); // camera aim // camera-to-world transformation mat3 ca = setCamera(ro, ta, 0.0); @@ -231,7 +255,7 @@ void mainImage(out vec4 fragColor, in vec2 fragCoord) { vec3 rd = ca * normalize(vec3(p.xy, 2.0)); // render - vec3 col = render(ro, rd); + vec3 col = render(ro, rd, vec3(0.0, 10.0, 0.0), vec3(1.0, 1.0, 1.0)); col = pow(col, vec3(0.4545)); From 21b96f5b606cd4415c1c0269469934cd3acdc984 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sun, 18 Oct 2015 00:58:43 -0400 Subject: [PATCH 13/39] added ambient and sky colors for pretty --- raymarch.glsl | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/raymarch.glsl b/raymarch.glsl index e33ca46..d398a35 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -207,7 +207,11 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) return vec4(color, t);} vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosition, in vec3 sunColor) { - return dot(norm, sunPosition - position) * color * sunColor; + vec3 shade = dot(norm, sunPosition - position) * color * sunColor; + if (shade.x <= 0.0 && shade.y <= 0.0 && shade.z <= 0.0) { + shade = color * sunColor * 0.02; // ambient term + } + return shade; } // takes in ray origin, ray direction, and sun position @@ -216,6 +220,9 @@ vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { //vec4 materialDistance = castRaySphere(ro, rd); vec3 position = ro + rd * materialDistance.a; vec3 norm = computeNormal(position); + if (materialDistance.r < 0.0 && materialDistance.g < 0.0 && materialDistance.b < 0.0) { + return vec3(0.9, 1.0, 0.9); + } return lambertShade(norm, position, materialDistance.rgb, sunPosition, sunColor); } From 30cc3b5bb3c0315189e52dc5963b0fab06ff670b Mon Sep 17 00:00:00 2001 From: likangning93 Date: Sun, 18 Oct 2015 20:48:28 -0400 Subject: [PATCH 14/39] something stinks with sphere tracing --- notes.txt | 7 +++++-- raymarch.glsl | 12 ++++++------ 2 files changed, 11 insertions(+), 8 deletions(-) diff --git a/notes.txt b/notes.txt index be411b8..08ab394 100644 --- a/notes.txt +++ b/notes.txt @@ -6,8 +6,11 @@ TODO: -add plane check [done] -add cube check [done] -add normal [done] --add light --add sphere tracing +-add light [done] +-add sphere tracing [buggy] + +-extract and generalize transformation operator. see if it fixes the sphere tracing problem. + -add height-mapped terrain -add fractal diff --git a/raymarch.glsl b/raymarch.glsl index d398a35..07f96be 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -97,7 +97,7 @@ float cube(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) return min(max(max(d.x, d.y), d.z), 0.0) + length(max(d, vec3(0.0, 0.0, 0.0))); } -/*Boolean operations**********************************************************/ +/*Operations******************************************************************/ // for getting the union of two objects. the one with the smaller distance. vec4 unionDistance(vec4 d1, vec4 d2) { @@ -190,19 +190,19 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) float maxDistance = 20.0; float t = tmin; - float distance = 1000.0; + float distance; vec3 color = vec3(-1.0, -1.0, -1.0); for (int i = 0; i < 2000; i++) { vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; t += distance; - if (t > maxDistance) { - break; - } if (distance < epsilon) { color = colorAndDistance.rgb; break; } + if (t > maxDistance) { + break; + } } return vec4(color, t);} @@ -216,7 +216,7 @@ vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosi // takes in ray origin, ray direction, and sun position vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { - vec4 materialDistance = castRayNaive(ro, rd); + vec4 materialDistance = castRaySphere(ro, rd);//castRayNaive(ro, rd); //vec4 materialDistance = castRaySphere(ro, rd); vec3 position = ro + rd * materialDistance.a; vec3 norm = computeNormal(position); From 565056e1cab21c857d779523d3909c75fd364704 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sun, 18 Oct 2015 23:20:24 -0400 Subject: [PATCH 15/39] updated notes --- notes.txt | 14 +++++++++++--- raymarch.glsl | 11 ++++------- 2 files changed, 15 insertions(+), 10 deletions(-) diff --git a/notes.txt b/notes.txt index 08ab394..6e0fc4a 100644 --- a/notes.txt +++ b/notes.txt @@ -9,10 +9,18 @@ TODO: -add light [done] -add sphere tracing [buggy] --extract and generalize transformation operator. see if it fixes the sphere tracing problem. - +-extract and generalize transformation operator. see if it fixes the sphere tracing problem? + -no good. can't generalize transformation op + -besides, it's only a problem with scaled spheres -add height-mapped terrain --add fractal + -add a function that, given an xz coordinate, computes pseudorandom noise + -add a primitive that takes all 3 transforms and does the height mapped thing + +-add fractal menger sponge + -primitive that should take in transforms and an iteration depth + -come up with an iterative method for computing menger depth + -something something something iterate if the point is in some region + -add soft shadows -add ambient occlusion \ No newline at end of file diff --git a/raymarch.glsl b/raymarch.glsl index 07f96be..638781f 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -101,15 +101,11 @@ float cube(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) // for getting the union of two objects. the one with the smaller distance. vec4 unionDistance(vec4 d1, vec4 d2) { - float minDistance; - vec3 color = vec3(0.0, 0.0, 0.0); + float minDistance = d2[3]; + vec3 color = d2.rgb; if (d1[3] < d2[3]) { color = d1.rgb; minDistance = d1[3]; - } else { - color = d2.rgb; - minDistance = d2[3]; - } return vec4(color, minDistance); } @@ -195,7 +191,7 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) for (int i = 0; i < 2000; i++) { vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; - t += distance; + if (distance < epsilon) { color = colorAndDistance.rgb; break; @@ -203,6 +199,7 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) if (t > maxDistance) { break; } + t += distance; } return vec4(color, t);} From 38626fc6610f55831893d489fc5bc69ee4bab8e4 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sun, 18 Oct 2015 23:55:59 -0400 Subject: [PATCH 16/39] basic sins height map seems to be working, but is there something up with the lambert shader? --- notes.txt | 6 +++--- raymarch.glsl | 41 +++++++++++++++++++++++++++++++++++++++-- 2 files changed, 42 insertions(+), 5 deletions(-) diff --git a/notes.txt b/notes.txt index 6e0fc4a..c26919e 100644 --- a/notes.txt +++ b/notes.txt @@ -10,11 +10,11 @@ TODO: -add sphere tracing [buggy] -extract and generalize transformation operator. see if it fixes the sphere tracing problem? - -no good. can't generalize transformation op - -besides, it's only a problem with scaled spheres + -no good. can't generalize transformation op when scale is nonuniform + -besides, it's only a problem with nonuniform scaled spheres -add height-mapped terrain - -add a function that, given an xz coordinate, computes pseudorandom noise + -add a function that, given an xz coordinate, computes pseudorandom noise [done?] -add a primitive that takes all 3 transforms and does the height mapped thing -add fractal menger sponge diff --git a/raymarch.glsl b/raymarch.glsl index 638781f..9b4eb9a 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -49,6 +49,15 @@ mat3 eulerZYXRotationMatrix(in vec3 rotation) { return eulerZYX; } +// for generating a pseudorandom color given a point. +// from http://stackoverflow.com/questions/4200224/random-noise-functions-for-glsl +float pseudoRand(vec2 xz) { + return fract(sin(dot(xz.xy, vec2(12.9898, 78.233))) * 43758.5453); +} + +float sinSin(vec2 xz) { + return sin(xz[0]) * sin(xz[1]); +} /*primitive distance estimators***********************************************/ // each takes in transformations and outputs the distance from the point to the @@ -97,6 +106,29 @@ float cube(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) return min(max(max(d.x, d.y), d.z), 0.0) + length(max(d, vec3(0.0, 0.0, 0.0))); } +float heightFunction(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) { + // transform the point into local coordinates + vec3 localPoint = point; + localPoint -= translation; // untranslate + localPoint = eulerZYXRotationMatrix(-1.0 * rotation) * localPoint; // unrotate + localPoint.x /= scale.x; // unscale + localPoint.y /= scale.y; + localPoint.z /= scale.z; + + // compute a height value + vec3 nearPt = localPoint; + nearPt.y = sinSin(localPoint.xz); + + // get distance vector + vec3 localDist = localPoint - nearPt; + + // scale back + localDist.x *= scale.x; + localDist.y *= scale.y; + localDist.z *= scale.z; + return length(localDist) * localDist.y / abs(localDist.y); +} + /*Operations******************************************************************/ // for getting the union of two objects. the one with the smaller distance. @@ -106,6 +138,7 @@ vec4 unionDistance(vec4 d1, vec4 d2) { if (d1[3] < d2[3]) { color = d1.rgb; minDistance = d1[3]; + } return vec4(color, minDistance); } @@ -136,9 +169,13 @@ vec4 sceneGraphDistanceFunction(in vec3 point) returnMe = unionDistance(returnMe, cube0); vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); - plane0[3] = plane(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0)); + plane0[3] = plane(point, vec3(0.0, 4.0, 0.0), vec3(3.14159, 0.0, 0.0)); returnMe = unionDistance(returnMe, plane0); + vec4 heightMap0 = vec4(0.6, 0.6, 0.6, -1.0); + heightMap0[3] = heightFunction(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); + returnMe = unionDistance(returnMe, heightMap0); + return returnMe; } @@ -213,7 +250,7 @@ vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosi // takes in ray origin, ray direction, and sun position vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { - vec4 materialDistance = castRaySphere(ro, rd);//castRayNaive(ro, rd); + vec4 materialDistance = castRayNaive(ro, rd);//castRaySphere(ro, rd); //vec4 materialDistance = castRaySphere(ro, rd); vec3 position = ro + rd * materialDistance.a; vec3 norm = computeNormal(position); From 012961e3d5b3fa1439a14bd4f5dd6c8fdd0bdfe3 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Sun, 18 Oct 2015 23:59:37 -0400 Subject: [PATCH 17/39] fixed lambert --- raymarch.glsl | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 9b4eb9a..a1378c9 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -161,7 +161,7 @@ vec4 sceneGraphDistanceFunction(in vec3 point) returnMe = unionDistance(returnMe, sphere1); vec4 sphere2 = vec4(1.0, 0.0, 1.0, -1.0); - sphere2[3] = sphere(point, vec3(0.6, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); + sphere2[3] = sphere(point, vec3(1.6, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); returnMe = unionDistance(returnMe, sphere2); vec4 cube0 = vec4(0.0, 1.0, 1.0, -1.0); @@ -241,7 +241,7 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) return vec4(color, t);} vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosition, in vec3 sunColor) { - vec3 shade = dot(norm, sunPosition - position) * color * sunColor; + vec3 shade = dot(normalize(sunPosition - position), norm) * color * sunColor; if (shade.x <= 0.0 && shade.y <= 0.0 && shade.z <= 0.0) { shade = color * sunColor * 0.02; // ambient term } From 617e0af5143e98bfc138055e2db2e43515fa6023 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 00:58:30 -0400 Subject: [PATCH 18/39] added helper and skeleton notes for menger sponge --- notes.txt | 5 +++-- raymarch.glsl | 27 +++++++++++++++++++++++++++ 2 files changed, 30 insertions(+), 2 deletions(-) diff --git a/notes.txt b/notes.txt index c26919e..a5e8325 100644 --- a/notes.txt +++ b/notes.txt @@ -13,9 +13,10 @@ TODO: -no good. can't generalize transformation op when scale is nonuniform -besides, it's only a problem with nonuniform scaled spheres --add height-mapped terrain +-add height-mapped terrain [done. kinda.] -add a function that, given an xz coordinate, computes pseudorandom noise [done?] - -add a primitive that takes all 3 transforms and does the height mapped thing + -just using sin functions for now. perlin noise later? + -add a primitive that takes all 3 transforms and does the height mapped thing [done] -add fractal menger sponge -primitive that should take in transforms and an iteration depth diff --git a/raymarch.glsl b/raymarch.glsl index a1378c9..900d006 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -129,6 +129,30 @@ float heightFunction(in vec3 point, in vec3 translation, in vec3 rotation, in ve return length(localDist) * localDist.y / abs(localDist.y); } +// computes the distance from point to the axis aligned cube defined by min and max. +// helper for menger sponge. +float distInCube(in vec3 point, in vec3 minCorner, in vec3 maxCorner) { + vec3 center = (maxCorner + minCorner) / 2.0; + vec3 d = abs(point - center) - maxCorner; + return min(max(max(d.x, d.y), d.z), 0.0) + length(max(d, vec3(0.0, 0.0, 0.0))); +} + +// menger sponge cube of dimensions in scale of iteration depth at most maxIter +float fractalMenger(in vec3 point, in int maxIter, in vec3 translation, in vec3 rotation, in vec3 scale) { + // transform the point into local coordinates + vec3 localPoint = point; + localPoint -= translation; // untranslate + localPoint = eulerZYXRotationMatrix(-1.0 * rotation) * localPoint; // unrotate + + vec3 firstQuadrantCorner = vec3(scale.x * 0.5, scale.y * 0.5, scale.z * 0.5); + // at each iteration, compute if the point is in any of the 20 subcubes + // if at any point it is not in a subcube, the point is not "inside" the sponge, so break. + for (int i = 0; i < maxIter; i++) { + + } + return 0.0; +} + /*Operations******************************************************************/ // for getting the union of two objects. the one with the smaller distance. @@ -176,6 +200,9 @@ vec4 sceneGraphDistanceFunction(in vec3 point) heightMap0[3] = heightFunction(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); returnMe = unionDistance(returnMe, heightMap0); + returnMe.rgb = vec3(1.0, 1.0, 0.0); + returnMe[3] = distInCube(point, vec3(-1.0, 0.0, -1.0), vec3(1.0, 0.1, 1.0)); + return returnMe; } From 4caf0238d01fd9a65e3549c605de64ee7c7182e7 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 02:26:10 -0400 Subject: [PATCH 19/39] something was wrong with the helper and causing a lot of grief --- raymarch.glsl | 89 ++++++++++++++++++++++++++++++++++++++++++--------- 1 file changed, 73 insertions(+), 16 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 900d006..0b4670f 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -133,30 +133,78 @@ float heightFunction(in vec3 point, in vec3 translation, in vec3 rotation, in ve // helper for menger sponge. float distInCube(in vec3 point, in vec3 minCorner, in vec3 maxCorner) { vec3 center = (maxCorner + minCorner) / 2.0; - vec3 d = abs(point - center) - maxCorner; + vec3 Q1 = maxCorner - center; + vec3 d = abs(point - center) - Q1; return min(max(max(d.x, d.y), d.z), 0.0) + length(max(d, vec3(0.0, 0.0, 0.0))); } -// menger sponge cube of dimensions in scale of iteration depth at most maxIter -float fractalMenger(in vec3 point, in int maxIter, in vec3 translation, in vec3 rotation, in vec3 scale) { +// menger sponge cube of dimensions in scale of iteration depth at most 4 +float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec3 scale) { // transform the point into local coordinates vec3 localPoint = point; localPoint -= translation; // untranslate localPoint = eulerZYXRotationMatrix(-1.0 * rotation) * localPoint; // unrotate - vec3 firstQuadrantCorner = vec3(scale.x * 0.5, scale.y * 0.5, scale.z * 0.5); + vec3 maxCorner = vec3(scale.x * 0.5, scale.y * 0.5, scale.z * 0.5); + vec3 minCorner = -maxCorner; + // at each iteration, compute if the point is in any of the 20 subcubes + // update maxCorner and minCorner. // if at any point it is not in a subcube, the point is not "inside" the sponge, so break. - for (int i = 0; i < maxIter; i++) { + float currDist = 1000.0; + for (int i = 0; i < 4; i++) { + vec3 dimensions = (maxCorner - minCorner) / 3.0; + vec3 currCorner = minCorner; + // bottom 8 + /*********** + * 1 2 3 -> +x + * 8 4 | +z + * 7 6 5 V + ***********/ + // 1 + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 2 + currCorner.x += dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 3 + currCorner.x += dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 4 + currCorner.z += dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 5 + currCorner.z += dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 6 + currCorner.x -= dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 7 + currCorner.x -= dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 8 + currCorner.z -= dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // middle 4 + + + // top 8 } - return 0.0; + return currDist; } /*Operations******************************************************************/ // for getting the union of two objects. the one with the smaller distance. -vec4 unionDistance(vec4 d1, vec4 d2) { +vec4 unionColorDistance(vec4 d1, vec4 d2) { float minDistance = d2[3]; vec3 color = d2.rgb; if (d1[3] < d2[3]) { @@ -166,7 +214,6 @@ vec4 unionDistance(vec4 d1, vec4 d2) { return vec4(color, minDistance); } - /*Code************************************************************************/ // returns the conservative distance to the nearest scene object. @@ -178,30 +225,40 @@ vec4 sceneGraphDistanceFunction(in vec3 point) vec4 sphere0 = vec4(1.0, 0.0, 0.0, -1.0); sphere0[3] = sphere(point, vec3(0.0, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); - returnMe = unionDistance(returnMe, sphere0); + returnMe = unionColorDistance(returnMe, sphere0); vec4 sphere1 = vec4(0.0, 1.0, 0.0, -1.0); sphere1[3] = sphere(point, vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.1, 1.0)); - returnMe = unionDistance(returnMe, sphere1); + returnMe = unionColorDistance(returnMe, sphere1); vec4 sphere2 = vec4(1.0, 0.0, 1.0, -1.0); sphere2[3] = sphere(point, vec3(1.6, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); - returnMe = unionDistance(returnMe, sphere2); + returnMe = unionColorDistance(returnMe, sphere2); vec4 cube0 = vec4(0.0, 1.0, 1.0, -1.0); cube0[3] = cube(point, vec3(0.8, 1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); - returnMe = unionDistance(returnMe, cube0); + returnMe = unionColorDistance(returnMe, cube0); vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); plane0[3] = plane(point, vec3(0.0, 4.0, 0.0), vec3(3.14159, 0.0, 0.0)); - returnMe = unionDistance(returnMe, plane0); + returnMe = unionColorDistance(returnMe, plane0); vec4 heightMap0 = vec4(0.6, 0.6, 0.6, -1.0); heightMap0[3] = heightFunction(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); - returnMe = unionDistance(returnMe, heightMap0); + returnMe = unionColorDistance(returnMe, heightMap0); + + vec4 oneThird = vec4(1.0, 1.0, 0.0, -1.0); + //vec3 corner = vec3(0.5, 0.5, 0.5); + //vec3 dimm = vec3(0.33333, 0.33333, 0.33333); + //oneThird[3] = distInCube(point, corner, corner + dimm); + + //vec4 one = vec4(1.0, 1.0, 0.0, -1.0); + //one[3] = distInCube(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); + + //returnMe = unionColorDistance(one, oneThird); - returnMe.rgb = vec3(1.0, 1.0, 0.0); - returnMe[3] = distInCube(point, vec3(-1.0, 0.0, -1.0), vec3(1.0, 0.1, 1.0)); + returnMe = vec4(1.0, 1.0, 0.0, -1.0); + returnMe[3] = fractalMenger(point, vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); return returnMe; } From e7534cafd9167c555ccc3640748886355195576c Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 02:35:56 -0400 Subject: [PATCH 20/39] a first stage alone is not a fractal --- raymarch.glsl | 59 +++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 59 insertions(+) diff --git a/raymarch.glsl b/raymarch.glsl index 0b4670f..30f3296 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -193,9 +193,68 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); // middle 4 + /*********** + * 1 x 2 -> +x + * x x | +z + * 4 x 3 V + ***********/ + currCorner.y += dimensions.y; + // 1 + currCorner.z -= dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 2 + currCorner.x += dimensions.x + dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 3 + currCorner.z += dimensions.z + dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 4 + currCorner.x -= dimensions.x + dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); // top 8 + /*********** + * 1 2 3 -> +x + * 8 4 | +z + * 7 6 5 V + ***********/ + currCorner.y += dimensions.y; + + // 1 + currCorner.z -= dimensions.z + dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 2 + currCorner.x += dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 3 + currCorner.x += dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 4 + currCorner.z += dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 5 + currCorner.z += dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 6 + currCorner.x -= dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 7 + currCorner.x -= dimensions.x; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + + // 8 + currCorner.z -= dimensions.z; + currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); } return currDist; From 9f0a90234b7ca446a4369be527679c99cca7161a Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 02:47:59 -0400 Subject: [PATCH 21/39] slow fractal is slow BUT SLOW FRACTAL IS STILL A FRACTAL --- raymarch.glsl | 143 ++++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 121 insertions(+), 22 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 30f3296..544fd8c 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -151,8 +151,9 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // at each iteration, compute if the point is in any of the 20 subcubes // update maxCorner and minCorner. // if at any point it is not in a subcube, the point is not "inside" the sponge, so break. + float epsilon = 0.002; float currDist = 1000.0; - for (int i = 0; i < 4; i++) { + for (int i = 3; i > 0; i--) { vec3 dimensions = (maxCorner - minCorner) / 3.0; vec3 currCorner = minCorner; // bottom 8 @@ -163,31 +164,68 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec ***********/ // 1 currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 2 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 3 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 4 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 5 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 6 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 7 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 8 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); @@ -203,19 +241,39 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 1 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 2 currCorner.x += dimensions.x + dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 3 currCorner.z += dimensions.z + dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 4 currCorner.x -= dimensions.x + dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // top 8 /*********** * 1 2 3 -> +x @@ -227,35 +285,76 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 1 currCorner.z -= dimensions.z + dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 2 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 3 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 4 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 5 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 6 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 7 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } // 8 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } + if (currDist > 0.0) break; } return currDist; } @@ -281,7 +380,7 @@ vec4 unionColorDistance(vec4 d1, vec4 d2) { vec4 sceneGraphDistanceFunction(in vec3 point) { vec4 returnMe = vec4(0.0, 0.0, 0.0, 22.0); - +/* vec4 sphere0 = vec4(1.0, 0.0, 0.0, -1.0); sphere0[3] = sphere(point, vec3(0.0, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); returnMe = unionColorDistance(returnMe, sphere0); @@ -304,9 +403,9 @@ vec4 sceneGraphDistanceFunction(in vec3 point) vec4 heightMap0 = vec4(0.6, 0.6, 0.6, -1.0); heightMap0[3] = heightFunction(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); - returnMe = unionColorDistance(returnMe, heightMap0); + returnMe = unionColorDistance(returnMe, heightMap0); */ - vec4 oneThird = vec4(1.0, 1.0, 0.0, -1.0); + //vec4 oneThird = vec4(1.0, 1.0, 0.0, -1.0); //vec3 corner = vec3(0.5, 0.5, 0.5); //vec3 dimm = vec3(0.33333, 0.33333, 0.33333); //oneThird[3] = distInCube(point, corner, corner + dimm); @@ -317,7 +416,7 @@ vec4 sceneGraphDistanceFunction(in vec3 point) //returnMe = unionColorDistance(one, oneThird); returnMe = vec4(1.0, 1.0, 0.0, -1.0); - returnMe[3] = fractalMenger(point, vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); + returnMe[3] = fractalMenger(point, vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(2.0, 2.0, 2.0)); return returnMe; } From 6f60d2d093c78ba54bcf6be7a68d96744c6137bc Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 03:02:08 -0400 Subject: [PATCH 22/39] was missing a chunk of fractal. fixed --- raymarch.glsl | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/raymarch.glsl b/raymarch.glsl index 544fd8c..7a279a8 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -229,7 +229,13 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 8 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - + if (currDist <= epsilon && i > 1) { + minCorner = currCorner; + maxCorner = currCorner + dimensions; + currDist = 1000.0; + continue; + } + // middle 4 /*********** * 1 x 2 -> +x From 72877964402d45f7fd6eef33b9056d43ad8b91f7 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 03:50:07 -0400 Subject: [PATCH 23/39] set up a scene that seems to show a lot of stuff... preparing for shadows --- IQ_example_annotated.glsl | 5 +++-- notes.txt | 11 +++++++++++ raymarch.glsl | 29 ++++++++++------------------- 3 files changed, 24 insertions(+), 21 deletions(-) diff --git a/IQ_example_annotated.glsl b/IQ_example_annotated.glsl index be93e67..619a700 100644 --- a/IQ_example_annotated.glsl +++ b/IQ_example_annotated.glsl @@ -216,7 +216,8 @@ vec2 castRay( in vec3 ro, in vec3 rd ) return vec2( t, m ); } - +// returns a shadow value between 0.0 and 1.0. 1.0 is lit, 0.0 is unlit +// float softshadow( in vec3 ro, in vec3 rd, in float mint, in float tmax ) { float res = 1.0; @@ -225,7 +226,7 @@ float softshadow( in vec3 ro, in vec3 rd, in float mint, in float tmax ) { float h = map( ro + rd*t ).x; res = min( res, 8.0*h/t ); - t += clamp( h, 0.02, 0.10 ); + t += clamp( h, 0.02, 0.10 ); // IQ's version doesn't let you go very far, does it? why? if( h<0.001 || t>tmax ) break; } return clamp( res, 0.0, 1.0 ); diff --git a/notes.txt b/notes.txt index a5e8325..85e86f5 100644 --- a/notes.txt +++ b/notes.txt @@ -24,4 +24,15 @@ TODO: -something something something iterate if the point is in some region -add soft shadows + -intuition from the slides: march towards the light from point + -accumulate distance to the occluder. use that to determine shadow strength + -IQ's slides back this up: use samples of distance to closest geometry along line from surface to light + -also, the reading article source thing + -you can multiply the shadow term right onto the lambert computation. + -may need to move ambient outside of lambert shading + -TODO: + -modify the scene so you'll actually be able to see shadows + -add a hard shadow function. takes in light, ray origin, ray direction. keep epsilon and max consistent! + -add a soft shadow function. + -add ambient occlusion \ No newline at end of file diff --git a/raymarch.glsl b/raymarch.glsl index 7a279a8..93f9f85 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -386,7 +386,7 @@ vec4 unionColorDistance(vec4 d1, vec4 d2) { vec4 sceneGraphDistanceFunction(in vec3 point) { vec4 returnMe = vec4(0.0, 0.0, 0.0, 22.0); -/* + vec4 sphere0 = vec4(1.0, 0.0, 0.0, -1.0); sphere0[3] = sphere(point, vec3(0.0, 0.6, 0.0), vec3(0.0, 0.0, 0.0), vec3(0.5, 0.5, 0.5)); returnMe = unionColorDistance(returnMe, sphere0); @@ -403,26 +403,17 @@ vec4 sceneGraphDistanceFunction(in vec3 point) cube0[3] = cube(point, vec3(0.8, 1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); returnMe = unionColorDistance(returnMe, cube0); - vec4 plane0 = vec4(0.0, 0.0, 1.0, -1.0); - plane0[3] = plane(point, vec3(0.0, 4.0, 0.0), vec3(3.14159, 0.0, 0.0)); + vec4 plane0 = vec4(0.9, 1.0, 0.9, -1.0); + plane0[3] = plane(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0)); returnMe = unionColorDistance(returnMe, plane0); - vec4 heightMap0 = vec4(0.6, 0.6, 0.6, -1.0); - heightMap0[3] = heightFunction(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(1.0, 0.2, 2.0)); - returnMe = unionColorDistance(returnMe, heightMap0); */ - - //vec4 oneThird = vec4(1.0, 1.0, 0.0, -1.0); - //vec3 corner = vec3(0.5, 0.5, 0.5); - //vec3 dimm = vec3(0.33333, 0.33333, 0.33333); - //oneThird[3] = distInCube(point, corner, corner + dimm); - - //vec4 one = vec4(1.0, 1.0, 0.0, -1.0); - //one[3] = distInCube(point, vec3(0.0, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); - - //returnMe = unionColorDistance(one, oneThird); + vec4 heightMap0 = vec4(0.6, 0.6, 0.9, -1.0); + heightMap0[3] = heightFunction(point, vec3(0.0, 5.0, 0.0), vec3(3.14159, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); + returnMe = unionColorDistance(returnMe, heightMap0); - returnMe = vec4(1.0, 1.0, 0.0, -1.0); - returnMe[3] = fractalMenger(point, vec3(0.0, 0.0, 0.0), vec3(0.0, 0.0, 0.0), vec3(2.0, 2.0, 2.0)); + vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); + fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); + returnMe = unionColorDistance(returnMe, fractal0); return returnMe; } @@ -544,7 +535,7 @@ void mainImage(out vec4 fragColor, in vec2 fragCoord) { vec3 rd = ca * normalize(vec3(p.xy, 2.0)); // render - vec3 col = render(ro, rd, vec3(0.0, 10.0, 0.0), vec3(1.0, 1.0, 1.0)); + vec3 col = render(ro, rd, vec3(0.0, 4.0, 0.0), vec3(1.0, 1.0, 1.0)); col = pow(col, vec3(0.4545)); From c1735925c069c7466590138e5489672efe83a5a2 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 04:06:34 -0400 Subject: [PATCH 24/39] added another capping check so we can have fake sky --- notes.txt | 2 +- raymarch.glsl | 45 ++++++++++++++++++++++++++++++++++----------- 2 files changed, 35 insertions(+), 12 deletions(-) diff --git a/notes.txt b/notes.txt index 85e86f5..959441d 100644 --- a/notes.txt +++ b/notes.txt @@ -31,7 +31,7 @@ TODO: -you can multiply the shadow term right onto the lambert computation. -may need to move ambient outside of lambert shading -TODO: - -modify the scene so you'll actually be able to see shadows + -modify the scene so you'll actually be able to see shadows [done] -add a hard shadow function. takes in light, ray origin, ray direction. keep epsilon and max consistent! -add a soft shadow function. diff --git a/raymarch.glsl b/raymarch.glsl index 93f9f85..1b508a9 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -408,12 +408,12 @@ vec4 sceneGraphDistanceFunction(in vec3 point) returnMe = unionColorDistance(returnMe, plane0); vec4 heightMap0 = vec4(0.6, 0.6, 0.9, -1.0); - heightMap0[3] = heightFunction(point, vec3(0.0, 5.0, 0.0), vec3(3.14159, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); + heightMap0[3] = heightFunction(point, vec3(0.0, 6.0, 0.0), vec3(3.14159, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); returnMe = unionColorDistance(returnMe, heightMap0); - vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); - fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); - returnMe = unionColorDistance(returnMe, fractal0); + //vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); + //fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); + //returnMe = unionColorDistance(returnMe, fractal0); return returnMe; } @@ -428,6 +428,22 @@ vec3 computeNormal(in vec3 point) { return normalize(returnMe); } +float hardShadow(in vec3 rayPosition, in vec3 lightPosition) +{ + float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 + float epsilon = 0.002; + float t = epsilon + stepSize + stepSize; + vec3 stepDir = normalize(lightPosition - rayPosition); + float lightDistance = length(lightPosition - rayPosition); + + for (int i = 0; i < 2000; i++){ + float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; + if (dist < epsilon) return 0.0; // shadowed + t += stepSize; + if (t > lightDistance) break; + } + return 1.0; // unshadowed +} // returns a t along the ray that hits the first intersection. // uses naive stepping [McGuire 4] @@ -435,7 +451,7 @@ vec3 computeNormal(in vec3 point) { vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) { float tmin = 1.0; - float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 1.0 + float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 float epsilon = 0.002; float t = tmin; @@ -480,11 +496,7 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) return vec4(color, t);} vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosition, in vec3 sunColor) { - vec3 shade = dot(normalize(sunPosition - position), norm) * color * sunColor; - if (shade.x <= 0.0 && shade.y <= 0.0 && shade.z <= 0.0) { - shade = color * sunColor * 0.02; // ambient term - } - return shade; + return dot(normalize(sunPosition - position), norm) * color * sunColor; } // takes in ray origin, ray direction, and sun position @@ -496,7 +508,18 @@ vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { if (materialDistance.r < 0.0 && materialDistance.g < 0.0 && materialDistance.b < 0.0) { return vec3(0.9, 1.0, 0.9); } - return lambertShade(norm, position, materialDistance.rgb, sunPosition, sunColor); + // lambert term + vec3 shade = lambertShade(norm, position, materialDistance.rgb, sunPosition, sunColor); + + // shadow term + float shadow = hardShadow(position, sunPosition); + shade *= shadow; + + // ambient term + if (shade.x <= 0.0 && shade.y <= 0.0 && shade.z <= 0.0) { + shade = materialDistance.rgb * sunColor * 0.02; // ambient term + } + return shade; } mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { From 8f7ac5872bf7ed3ca01ec241c710e2a67ce1d9d1 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 04:14:24 -0400 Subject: [PATCH 25/39] soft shadows now exist. not as pretty as they could be, but they exist. --- raymarch.glsl | 29 ++++++++++++++++++++++++----- 1 file changed, 24 insertions(+), 5 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 1b508a9..e9182a7 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -411,9 +411,9 @@ vec4 sceneGraphDistanceFunction(in vec3 point) heightMap0[3] = heightFunction(point, vec3(0.0, 6.0, 0.0), vec3(3.14159, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); returnMe = unionColorDistance(returnMe, heightMap0); - //vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); - //fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); - //returnMe = unionColorDistance(returnMe, fractal0); + vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); + fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); + returnMe = unionColorDistance(returnMe, fractal0); return returnMe; } @@ -439,12 +439,31 @@ float hardShadow(in vec3 rayPosition, in vec3 lightPosition) for (int i = 0; i < 2000; i++){ float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; if (dist < epsilon) return 0.0; // shadowed - t += stepSize; if (t > lightDistance) break; + t += stepSize; } return 1.0; // unshadowed } +float softShadow(in vec3 rayPosition, in vec3 lightPosition) +{ + float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 + float epsilon = 0.002; + float t = epsilon + stepSize + stepSize; + vec3 stepDir = normalize(lightPosition - rayPosition); + float lightDistance = length(lightPosition - rayPosition); + float shadowTerm = 1.0; // default to unshadowed + + for (int i = 0; i < 2000; i++){ + float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; + shadowTerm = min(shadowTerm, 6.0 * dist / t); + if (dist < epsilon) break; // shadowed + if (t > lightDistance) break; + t += stepSize; + } + return clamp(shadowTerm, 0.0, 1.0); // unshadowed +} + // returns a t along the ray that hits the first intersection. // uses naive stepping [McGuire 4] // returns (r, g, b, distance), but if distance was maxed out, color is all -1 @@ -512,7 +531,7 @@ vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { vec3 shade = lambertShade(norm, position, materialDistance.rgb, sunPosition, sunColor); // shadow term - float shadow = hardShadow(position, sunPosition); + float shadow = softShadow(position, sunPosition); shade *= shadow; // ambient term From 74186165cd6803aefb6791ac88259e7097cfbae1 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 04:40:35 -0400 Subject: [PATCH 26/39] ambient occlusion is now a thing. not very pretty though. still need to add debugging and profiling tools before feature complete --- IQ_example_annotated.glsl | 8 ++++---- notes.txt | 13 +++++++++---- raymarch.glsl | 24 ++++++++++++++++++++++++ 3 files changed, 37 insertions(+), 8 deletions(-) diff --git a/IQ_example_annotated.glsl b/IQ_example_annotated.glsl index 619a700..64afcfa 100644 --- a/IQ_example_annotated.glsl +++ b/IQ_example_annotated.glsl @@ -249,10 +249,10 @@ float calcAO( in vec3 pos, in vec3 nor ) float sca = 1.0; for( int i=0; i<5; i++ ) { - float hr = 0.01 + 0.12*float(i)/4.0; - vec3 aopos = nor * hr + pos; - float dd = map( aopos ).x; - occ += -(dd-hr)*sca; + float hr = 0.01 + 0.12*float(i)/4.0; // compute a sample distance + vec3 aopos = nor * hr + pos; // compute the sample position + float dd = map( aopos ).x; // get the distance function at the sample position + occ += -(dd-hr)*sca; // occlusion += distance function - sample distance * falloff term sca *= 0.95; } return clamp( 1.0 - 3.0*occ, 0.0, 1.0 ); diff --git a/notes.txt b/notes.txt index 959441d..46e2b4e 100644 --- a/notes.txt +++ b/notes.txt @@ -23,7 +23,7 @@ TODO: -come up with an iterative method for computing menger depth -something something something iterate if the point is in some region --add soft shadows +-add soft shadows [done. but not very pretty] -intuition from the slides: march towards the light from point -accumulate distance to the occluder. use that to determine shadow strength -IQ's slides back this up: use samples of distance to closest geometry along line from surface to light @@ -32,7 +32,12 @@ TODO: -may need to move ambient outside of lambert shading -TODO: -modify the scene so you'll actually be able to see shadows [done] - -add a hard shadow function. takes in light, ray origin, ray direction. keep epsilon and max consistent! - -add a soft shadow function. + -add a hard shadow function. takes in light, ray origin, ray direction. keep epsilon and max consistent! [done] + -add a soft shadow function. [done] --add ambient occlusion \ No newline at end of file +-add ambient occlusion [done. but not very pretty] + -intuition from IQ's slides: + -sample nearest points along the point normal + -compare these to camera -> point distance + -overall intuition: + -use distance function to estimate if other things are close to the point to be shaded \ No newline at end of file diff --git a/raymarch.glsl b/raymarch.glsl index e9182a7..68bc09b 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -464,6 +464,26 @@ float softShadow(in vec3 rayPosition, in vec3 lightPosition) return clamp(shadowTerm, 0.0, 1.0); // unshadowed } +// based heavily off of IQ's calcAO function +// intuition: sample along the point's normal for proximity to other objects +// the closer other things are, the stronger the AO term. +// not sure 100% why IQ calculates sample points how he does, +// why he has a falloff, why some of his coefficients exist... +// but hey! it's IQ! +float ambientOcclusion(in vec3 position, in vec3 normal) { + float occlusionFactor = 0.0; + float decayFactor = 1.0; + float epsilon = 0.002; + float stepSize = 0.01; + for (int i = 0; i < 5; i++) { + float sampleT = stepSize + epsilon + 0.12 * float(i) / 4.0; + float sampleDistance = sceneGraphDistanceFunction(position + normal * sampleT)[3]; + occlusionFactor += -(sampleDistance - sampleT) * decayFactor; + decayFactor *= 0.95; + } + return clamp(1.0 - 3.0 * occlusionFactor, 0.0, 1.0); +} + // returns a t along the ray that hits the first intersection. // uses naive stepping [McGuire 4] // returns (r, g, b, distance), but if distance was maxed out, color is all -1 @@ -534,6 +554,10 @@ vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { float shadow = softShadow(position, sunPosition); shade *= shadow; + // AO term + float ao = ambientOcclusion(position, norm); + shade *= ao; + // ambient term if (shade.x <= 0.0 && shade.y <= 0.0 && shade.z <= 0.0) { shade = materialDistance.rgb * sunColor * 0.02; // ambient term From 4fdb08c6d3d0f02dafd601cdafd1f05e0f033d2a Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 09:47:02 -0400 Subject: [PATCH 27/39] starting to use defines for stuff like epsilon and max depth --- notes.txt | 8 +++++- raymarch.glsl | 79 +++++++++++++++++++++++++++------------------------ 2 files changed, 49 insertions(+), 38 deletions(-) diff --git a/notes.txt b/notes.txt index 46e2b4e..4895472 100644 --- a/notes.txt +++ b/notes.txt @@ -40,4 +40,10 @@ TODO: -sample nearest points along the point normal -compare these to camera -> point distance -overall intuition: - -use distance function to estimate if other things are close to the point to be shaded \ No newline at end of file + -use distance function to estimate if other things are close to the point to be shaded + +-add debugging and do some profiling + +-distance to surface (depth basically?) + +-ray march iterations \ No newline at end of file diff --git a/raymarch.glsl b/raymarch.glsl index 68bc09b..4333f47 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -1,4 +1,7 @@ /*utils***********************************************************************/ +#define EPSILON 0.002 +#define MAXDISTANCE 20.0 + mat3 eulerXYZRotationMatrix(in vec3 rotation) { //https://en.wikipedia.org/wiki/Euler_angles#Rotation_matrix mat3 eulerXYZ; @@ -151,7 +154,6 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // at each iteration, compute if the point is in any of the 20 subcubes // update maxCorner and minCorner. // if at any point it is not in a subcube, the point is not "inside" the sponge, so break. - float epsilon = 0.002; float currDist = 1000.0; for (int i = 3; i > 0; i--) { vec3 dimensions = (maxCorner - minCorner) / 3.0; @@ -164,7 +166,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec ***********/ // 1 currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -174,7 +176,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 2 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -183,7 +185,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 3 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -193,7 +195,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 4 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -202,7 +204,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 5 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -211,7 +213,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 6 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -220,7 +222,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 7 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -229,7 +231,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 8 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -247,7 +249,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 1 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -256,7 +258,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 2 currCorner.x += dimensions.x + dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -265,7 +267,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 3 currCorner.z += dimensions.z + dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -274,7 +276,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 4 currCorner.x -= dimensions.x + dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -291,7 +293,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 1 currCorner.z -= dimensions.z + dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -300,7 +302,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 2 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -309,7 +311,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 3 currCorner.x += dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -318,7 +320,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 4 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -327,7 +329,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 5 currCorner.z += dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -336,7 +338,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 6 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -345,7 +347,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 7 currCorner.x -= dimensions.x; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -354,7 +356,7 @@ float fractalMenger(in vec3 point, in vec3 translation, in vec3 rotation, in vec // 8 currCorner.z -= dimensions.z; currDist = min(distInCube(localPoint, currCorner, currCorner + dimensions), currDist); - if (currDist <= epsilon && i > 1) { + if (currDist <= EPSILON && i > 1) { minCorner = currCorner; maxCorner = currCorner + dimensions; currDist = 1000.0; @@ -420,7 +422,7 @@ vec4 sceneGraphDistanceFunction(in vec3 point) vec3 computeNormal(in vec3 point) { // McGuire 8: you can totally use the gradient of the scenegraph distance function. - vec3 epsilon = vec3(0.001, 0.0, 0.0); + vec3 epsilon = vec3(EPSILON, 0.0, 0.0); vec3 returnMe; returnMe.x = sceneGraphDistanceFunction(point + epsilon.xyz).a - sceneGraphDistanceFunction(point - epsilon.xyz).a; returnMe.y = sceneGraphDistanceFunction(point + epsilon.yxz).a - sceneGraphDistanceFunction(point - epsilon.yxz).a; @@ -431,15 +433,17 @@ vec3 computeNormal(in vec3 point) { float hardShadow(in vec3 rayPosition, in vec3 lightPosition) { float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 - float epsilon = 0.002; - float t = epsilon + stepSize + stepSize; + float t = EPSILON + stepSize + stepSize; vec3 stepDir = normalize(lightPosition - rayPosition); float lightDistance = length(lightPosition - rayPosition); for (int i = 0; i < 2000; i++){ float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; - if (dist < epsilon) return 0.0; // shadowed + if (dist < EPSILON) return 0.0; // shadowed if (t > lightDistance) break; + if (t > MAXDISTANCE) { + break; + } t += stepSize; } return 1.0; // unshadowed @@ -448,8 +452,7 @@ float hardShadow(in vec3 rayPosition, in vec3 lightPosition) float softShadow(in vec3 rayPosition, in vec3 lightPosition) { float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 - float epsilon = 0.002; - float t = epsilon + stepSize + stepSize; + float t = EPSILON + stepSize + stepSize; vec3 stepDir = normalize(lightPosition - rayPosition); float lightDistance = length(lightPosition - rayPosition); float shadowTerm = 1.0; // default to unshadowed @@ -457,8 +460,11 @@ float softShadow(in vec3 rayPosition, in vec3 lightPosition) for (int i = 0; i < 2000; i++){ float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; shadowTerm = min(shadowTerm, 6.0 * dist / t); - if (dist < epsilon) break; // shadowed + if (dist < EPSILON) break; // shadowed if (t > lightDistance) break; + if (t > MAXDISTANCE) { + break; + } t += stepSize; } return clamp(shadowTerm, 0.0, 1.0); // unshadowed @@ -473,10 +479,9 @@ float softShadow(in vec3 rayPosition, in vec3 lightPosition) float ambientOcclusion(in vec3 position, in vec3 normal) { float occlusionFactor = 0.0; float decayFactor = 1.0; - float epsilon = 0.002; float stepSize = 0.01; for (int i = 0; i < 5; i++) { - float sampleT = stepSize + epsilon + 0.12 * float(i) / 4.0; + float sampleT = stepSize + EPSILON + 0.12 * float(i) / 4.0; float sampleDistance = sceneGraphDistanceFunction(position + normal * sampleT)[3]; occlusionFactor += -(sampleDistance - sampleT) * decayFactor; decayFactor *= 0.95; @@ -491,7 +496,6 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) { float tmin = 1.0; float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 - float epsilon = 0.002; float t = tmin; float distance = 1000.0; @@ -499,11 +503,14 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) for (int i = 0; i < 2000; i++) { vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; - t += stepSize; - if (distance < epsilon) { + if (distance < EPSILON) { color = colorAndDistance.rgb; break; } + if (t > MAXDISTANCE) { + break; + } + t += stepSize; } return vec4(color, t); } @@ -513,8 +520,6 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) { float tmin = 0.0; - float epsilon = 0.002; - float maxDistance = 20.0; float t = tmin; float distance; @@ -523,11 +528,11 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; - if (distance < epsilon) { + if (distance < EPSILON) { color = colorAndDistance.rgb; break; } - if (t > maxDistance) { + if (t > MAXDISTANCE) { break; } t += distance; From b5ebc8002d36885aa513a55fbae6aad4e81b748c Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 10:03:50 -0400 Subject: [PATCH 28/39] added a buttload of new defines and configurability. also added depth debugging --- raymarch.glsl | 64 ++++++++++++++++++++++++++++++++++++++++----------- 1 file changed, 51 insertions(+), 13 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 4333f47..3c93bbd 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -2,6 +2,21 @@ #define EPSILON 0.002 #define MAXDISTANCE 20.0 +// debug rendering +#define DEBUGDISTANCE 0 +#define DEBUGSTEPS 0 +#define DEBUGNORMALS 0 + +// render options +#define LAMBERT 1 +#define SOFTSHADOW 1 +#define AMBIENTOCCLUSION 1 + +// advanced distsance functions and stepping method +#define RENDERFRACTAL 1 +#define RENDERHEIGHTFUNCTION 1 +#define SPHERESTEP 0 + mat3 eulerXYZRotationMatrix(in vec3 rotation) { //https://en.wikipedia.org/wiki/Euler_angles#Rotation_matrix mat3 eulerXYZ; @@ -409,13 +424,17 @@ vec4 sceneGraphDistanceFunction(in vec3 point) plane0[3] = plane(point, vec3(0.0, -1.0, 0.0), vec3(0.0, 0.0, 0.0)); returnMe = unionColorDistance(returnMe, plane0); - vec4 heightMap0 = vec4(0.6, 0.6, 0.9, -1.0); - heightMap0[3] = heightFunction(point, vec3(0.0, 6.0, 0.0), vec3(3.14159, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); - returnMe = unionColorDistance(returnMe, heightMap0); + #if RENDERHEIGHTFUNCTION + vec4 heightMap0 = vec4(0.6, 0.6, 0.9, -1.0); + heightMap0[3] = heightFunction(point, vec3(0.0, 6.0, 0.0), vec3(3.14159, 0.0, 0.0), vec3(1.0, 1.0, 1.0)); + returnMe = unionColorDistance(returnMe, heightMap0); + #endif - vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); - fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); - returnMe = unionColorDistance(returnMe, fractal0); + #if RENDERFRACTAL + vec4 fractal0 = vec4(1.0, 1.0, 0.0, -1.0); + fractal0[3] = fractalMenger(point, vec3(1.0, 0.0, 1.0), vec3(0.0, 0.0, 0.0), vec3(1.5, 1.5, 1.5)); + returnMe = unionColorDistance(returnMe, fractal0); + #endif return returnMe; } @@ -545,23 +564,42 @@ vec3 lambertShade(in vec3 norm, in vec3 position, in vec3 color, in vec3 sunPosi // takes in ray origin, ray direction, and sun position vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { - vec4 materialDistance = castRayNaive(ro, rd);//castRaySphere(ro, rd); - //vec4 materialDistance = castRaySphere(ro, rd); + vec4 materialDistance; + #if SPHERESTEP + materialDistance = castRaySphere(ro, rd); + #else + materialDistance = castRayNaive(ro, rd); + #endif + vec3 position = ro + rd * materialDistance.a; vec3 norm = computeNormal(position); + + #if DEBUGNORMALS + return norm; + #elif DEBUGDISTANCE + return vec3(1.0 - materialDistance.a / MAXDISTANCE); + #endif + if (materialDistance.r < 0.0 && materialDistance.g < 0.0 && materialDistance.b < 0.0) { return vec3(0.9, 1.0, 0.9); } // lambert term vec3 shade = lambertShade(norm, position, materialDistance.rgb, sunPosition, sunColor); - // shadow term - float shadow = softShadow(position, sunPosition); - shade *= shadow; + #if !LAMBERT + shade = vec3(1.0); + #endif + // shadow term + #if SOFTSHADOW + float shadow = softShadow(position, sunPosition); + shade *= shadow; + #endif // AO term - float ao = ambientOcclusion(position, norm); - shade *= ao; + #if AMBIENTOCCLUSION + float ao = ambientOcclusion(position, norm); + shade *= ao; + #endif // ambient term if (shade.x <= 0.0 && shade.y <= 0.0 && shade.z <= 0.0) { From beede46f3954e800d4589c532773d972d8069036 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 10:14:49 -0400 Subject: [PATCH 29/39] added step debugging --- raymarch.glsl | 21 ++++++++++++++++++++- 1 file changed, 20 insertions(+), 1 deletion(-) diff --git a/raymarch.glsl b/raymarch.glsl index 3c93bbd..400e2fe 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -5,6 +5,7 @@ // debug rendering #define DEBUGDISTANCE 0 #define DEBUGSTEPS 0 +#define DEBUGSTEPSRANGE 2000.0 #define DEBUGNORMALS 0 // render options @@ -494,7 +495,8 @@ float softShadow(in vec3 rayPosition, in vec3 lightPosition) // the closer other things are, the stronger the AO term. // not sure 100% why IQ calculates sample points how he does, // why he has a falloff, why some of his coefficients exist... -// but hey! it's IQ! +// I know these things influence the shape of the AO, but I'm +// not sure exactly how. float ambientOcclusion(in vec3 position, in vec3 normal) { float occlusionFactor = 0.0; float decayFactor = 1.0; @@ -522,11 +524,19 @@ vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) for (int i = 0; i < 2000; i++) { vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; + if (distance < EPSILON) { + #if DEBUGSTEPS + color = vec3(float(i)); + break; + #endif color = colorAndDistance.rgb; break; } if (t > MAXDISTANCE) { + #if DEBUGSTEPS + color = vec3(float(i)); + #endif break; } t += stepSize; @@ -548,10 +558,17 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) distance = colorAndDistance[3]; if (distance < EPSILON) { + #if DEBUGSTEPS + color = vec3(float(i)); + break; + #endif color = colorAndDistance.rgb; break; } if (t > MAXDISTANCE) { + #if DEBUGSTEPS + color = vec3(float(i)); + #endif break; } t += distance; @@ -578,6 +595,8 @@ vec3 render(in vec3 ro, in vec3 rd, in vec3 sunPosition, in vec3 sunColor) { return norm; #elif DEBUGDISTANCE return vec3(1.0 - materialDistance.a / MAXDISTANCE); + #elif DEBUGSTEPS + return vec3(materialDistance / DEBUGSTEPSRANGE); #endif if (materialDistance.r < 0.0 && materialDistance.g < 0.0 && materialDistance.b < 0.0) { From fa1a06c220c23a97db703b81e765e8a049e119db Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 11:19:40 -0400 Subject: [PATCH 30/39] added pictures --- img/ao.png | Bin 0 -> 110960 bytes img/ao_soft_shadows.png | Bin 0 -> 182655 bytes img/distance.png | Bin 0 -> 26457 bytes img/far.png | Bin 0 -> 679175 bytes img/lambert.png | Bin 0 -> 90417 bytes img/near.png | Bin 0 -> 716344 bytes img/normals.png | Bin 0 -> 98364 bytes img/steps_naive.png | Bin 0 -> 26094 bytes img/steps_sphere.png | Bin 0 -> 43396 bytes img/thumb.png | Bin 876 -> 170823 bytes notes.txt | 27 ++++++++++++++++++++++++--- 11 files changed, 24 insertions(+), 3 deletions(-) create mode 100644 img/ao.png create mode 100644 img/ao_soft_shadows.png create mode 100644 img/distance.png create mode 100644 img/far.png create mode 100644 img/lambert.png create mode 100644 img/near.png create mode 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4895472..bbbe04f 100644 --- a/notes.txt +++ b/notes.txt @@ -42,8 +42,29 @@ TODO: -overall intuition: -use distance function to estimate if other things are close to the point to be shaded --add debugging and do some profiling +-add debugging [done] and do some profiling --distance to surface (depth basically?) +-distance to surface (depth basically?) [done] --ray march iterations \ No newline at end of file +-ray march iterations [done] + +DATA + +javascript:(function(){var script=document.createElement('script');script.onload=function(){var stats=new Stats();stats.setMode( 1);stats.domElement.style.cssText='position:fixed;left:0;top:0;z-index:10000';document.body.appendChild(stats.domElement);requestAnimationFrame(function loop(){stats.update();requestAnimationFrame(loop)});};script.src='//rawgit.com/mrdoob/stats.js/master/build/stats.min.js';document.head.appendChild(script);})() + +-oddly, the menger sponge works with sphere mode and it's FAST + +NAIVE RAY MARCHING VS SPHERE TRACING +-naive: around 170 ms per frame in a full circle pass +-sphere: around 60 ms per frame in a full circle pass + +TIME SPENT RAY MARCHING VS SHADING/LIGHTING +-pure lambert: around 120 ms per frame in a full circle pass + +-shadow: about 150 ms per frame in a full circle pass + +-AO: about 130 ms per frame in a full circle pass + +-shadow + AO: about 170 ms per frame in a full circle pass + +BRANCH DIVERGENCE \ No newline at end of file From 12f3183baf098f10232fef8f1ecf98a1903d2828 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 11:35:15 -0400 Subject: [PATCH 31/39] added acknowledgement and charts --- README.md | 25 +++++++++++++++++++------ img/charts/stage_time.csv | 5 +++++ img/charts/stage_time.pdf | Bin 0 -> 32161 bytes img/charts/stage_time.png | Bin 0 -> 66956 bytes 4 files changed, 24 insertions(+), 6 deletions(-) create mode 100644 img/charts/stage_time.csv create mode 100644 img/charts/stage_time.pdf create mode 100644 img/charts/stage_time.png diff --git a/README.md b/README.md index 02a82bc..e4f2e95 100644 --- a/README.md +++ b/README.md @@ -4,19 +4,32 @@ **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 5** -* (TODO) YOUR NAME HERE -* Tested on: (TODO) **Google Chrome 222.2** on - Windows 22, i7-2222 @ 2.22GHz 22GB, GTX 222 222MB (Moore 2222 Lab) +* Kangning Li +* Tested on: Google Chrome 46.0.2490.71 m on +* Windows 10, i7-4790 @ 3.6GHz 16GB, GTX 970 4096MB -### Live on Shadertoy (TODO) +### Live on Shadertoy [![](img/thumb.png)](https://www.shadertoy.com/view/TODO) ### Acknowledgements This Shadertoy uses material from the following resources: - -* TODO +* Morgan McGuire, Williams College. + *Numerical Methods for Ray Tracing Implicitly Defined Surfaces* (2014). + [PDF](http://graphics.cs.williams.edu/courses/cs371/f14/reading/implicit.pdf) +* Iñigo Quílez. + *Raymarching Primitives* (2013). + [Shadertoy](https://www.shadertoy.com/view/Xds3zN) +* Iñigo Quílez. + *Terrain Raymarching* (2007). + [Article](http://www.iquilezles.org/www/articles/terrainmarching/terrainmarching.htm) +* Iñigo Quílez. + *Rendering Worlds with Two Triangles with raytracing on the GPU* (2008). + [Slides](http://www.iquilezles.org/www/material/nvscene2008/rwwtt.pdf) +* Lukasz Jaroslaw Tomczak, Technical University of Denmark. + *GPU Ray Marching of Distance Fields* (2012). + [PDF](http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf) ### (TODO: Your README) diff --git a/img/charts/stage_time.csv b/img/charts/stage_time.csv new file mode 100644 index 0000000..dd616c7 --- /dev/null +++ b/img/charts/stage_time.csv @@ -0,0 +1,5 @@ +"";"naive marching + lambert";"ambient occlusion";"soft shadow" +"pure lambert";"120";"0";"0" +"lambert + AO";"120";"30";"20" +"lambert + shadow";"120";"0";"20" +"lambert + AO + shadow";"120";"30";"20" diff --git a/img/charts/stage_time.pdf b/img/charts/stage_time.pdf new file mode 100644 index 0000000000000000000000000000000000000000..34586766cd89a7994a03ebd0c48bb09a7129032f GIT binary patch literal 32161 zcmeFacU;q1w>}EPhz-QCPz6+)NK>lPq9UMz(xrod^d{14L==@GA_~$$dXV0vC0GFI z9i&ETXd%?lQtl2;k@BANx%YGLea|_+Gk?rz^3BfPYd`B*&sux!42SY{IlhbhLWhJ- zUpQ@VY;{OdQb67Pf$3=hWg~ObL*U;JP3@dcUj*-}9uiPBb+mVWXkzMkTJYx!GWK>( z;C;u_!lb`TOCK_|yH6U0^w&Q}le4sOGJSYjK+eX<$@IFZiT!;rxT2|@xs%0d(F@=s 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zSSz)%#rXKo%4u8($(_cP9I=tYr+hQh^lSS`v)^Zh{Ja->{jw1kSmU?Gy$A@+&bMpc z;1^bEyx>Sf(iR`za>ohS9!Meh;iK)!VN{XNtS8C{=X2ou&EZoX3R& z&g;qsahqqsxtxzZ3We+4B2M;)^Mt>}e#2iy?0yd>|NmbKccT8EU5%uc&I2{vx9pbd Rm?|v8{MkBM7iO+-|6jHl!OZ{w literal 0 HcmV?d00001 From e04cbf530df1213d9b8f4e4943c14675d981007c Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 11:55:27 -0400 Subject: [PATCH 32/39] more readme. --- README.md | 178 ++++-------------------------------------------------- 1 file changed, 11 insertions(+), 167 deletions(-) diff --git a/README.md b/README.md index e4f2e95..f960248 100644 --- a/README.md +++ b/README.md @@ -5,12 +5,11 @@ **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 5** * Kangning Li -* Tested on: Google Chrome 46.0.2490.71 m on -* Windows 10, i7-4790 @ 3.6GHz 16GB, GTX 970 4096MB +* Tested on: Google Chrome 46.0.2490.71 m on Windows 10, i7-4790 @ 3.6GHz 16GB, GTX 970 4096MB ### Live on Shadertoy -[![](img/thumb.png)](https://www.shadertoy.com/view/TODO) +[![](img/thumb.png)](https://www.shadertoy.com/view/XlBSzc) ### Acknowledgements @@ -31,172 +30,17 @@ This Shadertoy uses material from the following resources: *GPU Ray Marching of Distance Fields* (2012). [PDF](http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf) -### (TODO: Your README) +### Overview - -Instructions (delete me) -======================== - -This is due at midnight on the evening of Monday, October 19. - -**Summary:** In this project, you'll see yet another way in which GPU -parallelism and compute-efficiency can be used to render scenes. -You'll write a program in the popular online shader editor -[Shadertoy](http://www.shadertoy.com/). -Your goal will be to implement and show off different features in a cool and -interesting demo. See Shadertoy for inspiration - and get creative! - -Ray marching is an iterative ray casting method in which objects are -represented as implicit surfaces defined by signed distance functions (SDFs). This -method is widely used in the Shadertoy community to render complex scenes which -are defined in the fragment shader code executed for each pixel. - -**Important Notes:** -* Even though you will be coding in Shadertoy, it is important as always to - save versions of your code so that you do not lose progress! Commit often! -* A significant portion of this project will be in write-up and performance - analysis - don't save it for later. - -**Provided Code:** -The provided code in `raymarch.glsl` is straight from iq's Raymarching -Primitives; see {iq-prim}. It just sets up a simple starter camera. +This shadertoy is an introductory exercise to raytracing by ray marching against signed distance functions. It features: +-support for cubes, spheres, infinite planes, height functions, and menger sponges +-transformations and union for each "primitive" type +-lambert shading with soft/hard shadows and ambient occlusion +-an option to switch between naive ray marching and spherical distance ray marching +-a handful of debugging features ### Features -All features must be visible in your final demo for full credit. - -**Required Features:** - -* Two ray marching methods (comparative analysis required) - * Naive ray marching (fixed step size) {McGuire 4} - * Sphere tracing (step size varies based on signed distance field) {McGuire 6} -* 3 different distance estimators {McGuire 7} {iq-prim} - * With normal computation {McGuire 8} -* One simple lighting computation (e.g. Lambert or Blinn-Phong). -* Union operator {McGuire 11.1} - * Necessary for rendering multiple objects -* Transformation operator {McGuire 11.5} -* Debug views (preferably easily toggleable, e.g. with `#define`/`#if`) - * Distance to surface for each pixel - * Number of ray march iterations used for each pixel - -**Extra Features:** - -You must do at least 10 points worth of extra features. - -* (0.25pt each, up to 1pt) Other basic distance estimators/operations {McGuire 7/11} -* Advanced distance estimators - * (3pts) Height-mapped terrain rendering {iq-terr} - * (3pts) Fractal rendering (e.g. Menger sponge or Mandelbulb {McGuire 13.1}) - * **Note** that these require naive ray marching, if there is no definable - SDF. They may be optimized using bounding spheres (see below). -* Lighting effects - * (3pts) Soft shadowing using secondary rays {iq-prim} {iq-rwwtt p55} - * (3pts) Ambient occlusion (see 565 slides for another reference) {iq-prim} -* Optimizations (comparative analysis required!) - * (3pts) Over-relaxation method of sphere tracing {McGuire 12.1} - * (2pts) Analytical bounding spheres on objects in the scene {McGuire 12.2/12.3} - * (1pts) Analytical infinite planes {McGuire 12.3} - -This extra feature list is not comprehensive. If you have a particular idea -that you would like to implement, please **contact us first** (preferably on -the mailing list). - -## Write-up - -For each feature (required or extra), include a screenshot which clearly -shows that feature in action. Briefly describe the feature and mention which -reference(s) you used. - -### Analysis - -* Provide an analysis comparing naive ray marching with sphere tracing - * In addition to FPS, implement a debug view which shows the "most expensive" - fragments by number of iterations required for each pixel. Compare these. -* Compare time spent ray marching vs. time spent shading/lighting - * This can be done by taking measurements with different parts of your code - enabled (e.g. raymarching, raymarching+shadow, raymarching+shadow+AO). - * Plot this analysis using pie charts or a 100% stacked bar chart. -* For each feature (required or extra), estimate whether branch divergence - plays a role in its performance characteristics, and, if so, point out the - branch in question. - (Like in CUDA, if threads diverge within a warp, performance takes a hit.) -* For each optimization feature, compare performance with and without the - optimization. Describe and demo the types of scenes which benefit from the - optimization. - -**Tips:** - -* To avoid computing frame times given FPS, you can use the - [stats.js bookmarklet](https://github.com/mrdoob/stats.js/#bookmarklet) - to measure frame times in ms. - -### Resources - -You **must** acknowledge any resources you use, including, but not limited to, -the links below. **Do not copy non-trivial code verbatim.** Instead, use the -references to understand the methods. - -For any code/material in the 565 -[slides](http://cis565-fall-2015.github.io/lectures/12-Ray-Marching.pptx), -please reference the source found at the bottom of the slide. - -* {McGuire} - Morgan McGuire, Williams College. - *Numerical Methods for Ray Tracing Implicitly Defined Surfaces* (2014). - [PDF](http://graphics.cs.williams.edu/courses/cs371/f14/reading/implicit.pdf) - * You may credit and use code from this reference. -* {iq-prim} - Iñigo Quílez. - *Raymarching Primitives* (2013). - [Shadertoy](https://www.shadertoy.com/view/Xds3zN) -* {iq-terr} - Iñigo Quílez. - *Terrain Raymarching* (2007). - [Article](http://www.iquilezles.org/www/articles/terrainmarching/terrainmarching.htm) - * You may credit and use code from this reference. -* {iq-rwwtt} - Iñigo Quílez. - *Rendering Worlds with Two Triangles with raytracing on the GPU* (2008). - [Slides](http://www.iquilezles.org/www/material/nvscene2008/rwwtt.pdf) -* {Ashima} - Ashima Arts, Ian McEwan, Stefan Gustavson. - *webgl-noise*. - [GitHub](https://github.com/ashima/webgl-noise) - * You may use this code under the MIT-expat license. - - -## Submit - -### Post on Shadertoy - -Post your shader on Shadertoy (preferably *public*; *draft* will not work). -For your title, come up with your own demo title and use the format -`[CIS565 2015F] YOUR TITLE HERE` (also add this to the top of your README). - -In the Shadertoy description, include the following: - -* A link to your GitHub repository with the Shadertoy code. -* **IMPORTANT:** A copy of the *Acknowledgements* section from above. - * Remember, this is public - strangers will want to know where you got your - material. - -Add a screenshot of your result to `img/thumb.png` -(right click rendering -> Save Image As), and put the link to your -Shadertoy at the top of your README. - -### Pull Request - -**Even though your code is on Shadertoy, make sure it is also on GitHub!** +### Debugging -1. Open a GitHub pull request so that we can see that you have finished. - The title should be "Submission: YOUR NAME". - * **ADDITIONALLY:** - In the body of the pull request, include a link to your repository. -2. Send an email to the TA (gmail: kainino1+cis565@) with: - * **Subject**: in the form of `[CIS565] Project N: PENNKEY`. - * Direct link to your pull request on GitHub. - * Estimate the amount of time you spent on the project. - * If there were any outstanding problems, or if you did any extra - work, *briefly* explain. - * Feedback on the project itself, if any. +### Analysis \ No newline at end of file From 7c3b71d99eeec81bd573643779974d95cd92661f Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 12:15:33 -0400 Subject: [PATCH 33/39] added more explanation for features --- README.md | 55 +++++++++++++++++++++++++++++++++++++++++++++++++------ 1 file changed, 49 insertions(+), 6 deletions(-) diff --git a/README.md b/README.md index f960248..e2e912a 100644 --- a/README.md +++ b/README.md @@ -33,14 +33,57 @@ This Shadertoy uses material from the following resources: ### Overview This shadertoy is an introductory exercise to raytracing by ray marching against signed distance functions. It features: --support for cubes, spheres, infinite planes, height functions, and menger sponges --transformations and union for each "primitive" type --lambert shading with soft/hard shadows and ambient occlusion --an option to switch between naive ray marching and spherical distance ray marching --a handful of debugging features +*support for cubes, spheres, infinite planes, height/terrain functions, and menger sponges +*transformations and union for each "primitive" type +*lambert shading with soft/hard shadows and ambient occlusion +*an option to switch between naive ray marching and spherical distance ray marching +*a handful of debugging features -### Features +### Modeling Features + +## cubes, spheres, infinite planes, and modeling transformations +These are referenced from Morgan McGuire's *Numerical Methods for Ray Tracing Implicitly Defined Surfaces* +Each potential function evaluator has been modified to take in modeling transformations along with the point whose distance is being computed. Transformations supported include translation, euler angle rotation, and non-uniform scaling. + +## height/terrain function +The height/terrain function draws from Iñigo Quílez's article *Terrain Raymarching.* At the moment it uses a sine function over the x and z coordinates of the point instead of a perlin noise function as a compact proof of concept. The same transformations are supported. + +## menger sponge +The menger sponge function iteratively computes a distance for a menger sponge to the 3rd iteration. +The same transformations are supported. + +### Lighting Features + +## Lambert shading +![](img/lambert.png) +A single light is supported. Lambert shading is computationally very cheap. + +## Ambient Occlusion +![](img/ao.png) +Given a point that needs to be shaded, the shadertoy approximates ambient occlusion by sampling the distance function at points along the surface point's normal direction. This is heavily based on the ambient occlusion method described in Lukasz Jaroslaw Tomczak's *GPU Ray Marching of Distance Fields* and implemented in Iñigo Quílez's *Raymarching Primitives.* + +## Soft Shadows +![](img/ao_soft_shadows.png) +Given a point that needs to be shaded, the shadertoy approximates soft shadows by raymarching towards the light and using the point's distance from an occluding object to "soften" the shadow. This is heavily based on the soft shadow method described in Lukasz Jaroslaw Tomczak's *GPU Ray Marching of Distance Fields* and implemented in Iñigo Quílez's *Raymarching Primitives.* + +## Spherical Ray Marching +![](img/sphere_menger.png) +Spherical ray marching attempts to speed up the ray marching by taking larger steps bounded by a distance function evaluation at each step. However, this can lead to unusual results with the terrain function and spheres with extreme nonuniform scale. +Based on the description in Morgan McGuire's *Numerical Methods for Ray Tracing Implicitly Defined Surfaces.* ### Debugging +This raymarcher includes numerous debugging features, all of which can be toggled from the defines at the top of the file. + +## normals +![](img/normals.png) + +## distance +![](img/distance.png) +Distance is similar to a depth test. + +## Steps +![](img/steps_naive.png) +Steps visualizes the number of steps the ray marching method took to reach each rendered point. The scale can be modified to change the contrast. + ### Analysis \ No newline at end of file From 00024bae3bf84531dfde917852258e1b83a4727a Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 12:17:19 -0400 Subject: [PATCH 34/39] played with header sizes? --- README.md | 18 +++++++++--------- 1 file changed, 9 insertions(+), 9 deletions(-) diff --git a/README.md b/README.md index e2e912a..d6ecc18 100644 --- a/README.md +++ b/README.md @@ -41,14 +41,14 @@ This shadertoy is an introductory exercise to raytracing by ray marching against ### Modeling Features -## cubes, spheres, infinite planes, and modeling transformations +#### cubes, spheres, infinite planes, and modeling transformations These are referenced from Morgan McGuire's *Numerical Methods for Ray Tracing Implicitly Defined Surfaces* Each potential function evaluator has been modified to take in modeling transformations along with the point whose distance is being computed. Transformations supported include translation, euler angle rotation, and non-uniform scaling. -## height/terrain function +#### height/terrain function The height/terrain function draws from Iñigo Quílez's article *Terrain Raymarching.* At the moment it uses a sine function over the x and z coordinates of the point instead of a perlin noise function as a compact proof of concept. The same transformations are supported. -## menger sponge +#### menger sponge The menger sponge function iteratively computes a distance for a menger sponge to the 3rd iteration. The same transformations are supported. @@ -58,15 +58,15 @@ The same transformations are supported. ![](img/lambert.png) A single light is supported. Lambert shading is computationally very cheap. -## Ambient Occlusion +#### Ambient Occlusion ![](img/ao.png) Given a point that needs to be shaded, the shadertoy approximates ambient occlusion by sampling the distance function at points along the surface point's normal direction. This is heavily based on the ambient occlusion method described in Lukasz Jaroslaw Tomczak's *GPU Ray Marching of Distance Fields* and implemented in Iñigo Quílez's *Raymarching Primitives.* -## Soft Shadows +#### Soft Shadows ![](img/ao_soft_shadows.png) Given a point that needs to be shaded, the shadertoy approximates soft shadows by raymarching towards the light and using the point's distance from an occluding object to "soften" the shadow. This is heavily based on the soft shadow method described in Lukasz Jaroslaw Tomczak's *GPU Ray Marching of Distance Fields* and implemented in Iñigo Quílez's *Raymarching Primitives.* -## Spherical Ray Marching +#### Spherical Ray Marching ![](img/sphere_menger.png) Spherical ray marching attempts to speed up the ray marching by taking larger steps bounded by a distance function evaluation at each step. However, this can lead to unusual results with the terrain function and spheres with extreme nonuniform scale. Based on the description in Morgan McGuire's *Numerical Methods for Ray Tracing Implicitly Defined Surfaces.* @@ -75,14 +75,14 @@ Based on the description in Morgan McGuire's *Numerical Methods for Ray Tracing This raymarcher includes numerous debugging features, all of which can be toggled from the defines at the top of the file. -## normals +#### Normals ![](img/normals.png) -## distance +#### Distance ![](img/distance.png) Distance is similar to a depth test. -## Steps +#### Steps ![](img/steps_naive.png) Steps visualizes the number of steps the ray marching method took to reach each rendered point. The scale can be modified to change the contrast. From 415af99e11ed3bca18ec419943d56fefaa174177 Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 12:18:21 -0400 Subject: [PATCH 35/39] added a missing photo --- README.md | 2 +- img/sphere_menger.png | Bin 0 -> 58388 bytes 2 files changed, 1 insertion(+), 1 deletion(-) create mode 100644 img/sphere_menger.png diff --git a/README.md b/README.md index d6ecc18..8061038 100644 --- a/README.md +++ b/README.md @@ -54,7 +54,7 @@ The same transformations are supported. ### Lighting Features -## Lambert shading +#### Lambert shading ![](img/lambert.png) A single light is supported. 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z(QmfYdD{ zIHH2sgdHOg5EOiTXbyKX+Lt4+e-2uK5f3Ha9EXj1gbrid%8dr1<`avzt(rSgOTyr$9dyLel2o z2qJ?*yxkr7Hh}>s2oa#e3Os<1&>1UC_mMEzRCHMX<{k(oScE-PDMLt_7%l{n?Jy$q z503y&fD9AZaD)yu@HhoN2;#>8K&B4$Ywqu>^{|kKkUs@t>fM{7buaH!ekp9bp^~jE z!2qP#!-b8|3&Uq!=6X!RhaBvL=lf0oAa=>f=5x87rC5^?k|6xm-HDYuyY=TNb44B{mrHT02InHNLwLl3 z^;irZR`9XK{eT+^nB%j{?JG;LRQoX~LC(}T(-4v-9FyD-M-V9$-@@()U;=2^=79}s zquS_j+IcXA525JhKt{&uE?{)`|{aS&jL6BGB$}e zNAO6Sx5C{MWB8zCiRc56MR~VFKzE9CAY^6^<$}HuL|Vjk_@627k}iM(U?>Ae>l!LI zI|M%J$Ltsjn0l<$n;z%30v6m$r4AMYs~{v{?>ILJY;Od(07!mGWI)P6a3KI3?$DtM z9(M3S9DN2`en$7PhX%3740000 Date: Mon, 19 Oct 2015 12:40:41 -0400 Subject: [PATCH 36/39] added up to menger sponge analyis for branch divergence --- README.md | 23 ++++++++++++++++++++++- 1 file changed, 22 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 8061038..f337f6a 100644 --- a/README.md +++ b/README.md @@ -86,4 +86,25 @@ Distance is similar to a depth test. ![](img/steps_naive.png) Steps visualizes the number of steps the ray marching method took to reach each rendered point. The scale can be modified to change the contrast. -### Analysis \ No newline at end of file +### Analysis + +#### Naive Ray Marching vs. Spherical Tracing +In the default scene provided, with all lighting settings enabled, spherical tracing was considerably faster than naive ray marching, averaging around 60 ms per frame in a full circle pass as opposed to the naive method's 170 ms per frame on average. + +For both marching methods, computation time substantially decreased the closer the camera got to the scene objects, presumably because each ray march was "bottoming out" sooner. + +![](img/near.png) +![](img/far.png) + +The "steps" debugging setting also yields some interesting observations. While the difference in brightness clearly indicates that the spherical method takes significantly fewer steps per ray, it also indicates from the light 'haze' around the edges of objects that rays marching near edges of objects tend to "decelerate" as they approach the object, taking more steps than rays passing objects from further away. + +#### Time spent raymarching vs. Time spent on lighting computation +![](img/charts/stage_time.png) + +When using naive raymarching the vast majority of time per frame is spent on raymarching. Ambient occlusion and soft shadows are both relatively inexpensive. Since both computations perform a variant on the naive raymarch, however, each may also be influenced by the scene configuration. Ambient occlusion, for example, only addresses samples marching along a point's normal out to a hardcoded number of samples. Shadows, meanwhile, march towards the light until the ray march reaches the light or strikes an occluding object. Thus, unoccluded points very far from the light source have more expensive shadow computations. + +#### Branch Divergence Estimates + +Two of the above features are likely to demonstrate branch divergence performance hits: shadowing, and the distance function for the menger sponge. Soft shadowing breaks out of the ray march towards the light depending on the point in the scene. Threads computing points close to each other in the scene (and close to each other in screen space) should have less divergence the closer they are together, with the most divergence in the "soft shadow" region. + +The menger sponge, on the other hand, features branch divergence in a much more extreme way that likely explains its computational expense. The sponge is computed at each iteration by assessing the bounding box of the sponge iteration and checking against each of the 22 sub-iteration boxes within this iteration's box. This check determines the bounding box of the next iteration that must be computed. \ No newline at end of file From f86d2625d7798b41246d464c69d4b1560c1d7aed Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 12:47:08 -0400 Subject: [PATCH 37/39] submission ready? --- README.md | 6 ++++-- img/sine_height.png | Bin 0 -> 107237 bytes img/sponge.png | Bin 0 -> 71833 bytes 3 files changed, 4 insertions(+), 2 deletions(-) create mode 100644 img/sine_height.png create mode 100644 img/sponge.png diff --git a/README.md b/README.md index f337f6a..0b9247a 100644 --- a/README.md +++ b/README.md @@ -46,10 +46,12 @@ These are referenced from Morgan McGuire's *Numerical Methods for Ray Tracing Im Each potential function evaluator has been modified to take in modeling transformations along with the point whose distance is being computed. Transformations supported include translation, euler angle rotation, and non-uniform scaling. #### height/terrain function +![](img/sine_height.png) The height/terrain function draws from Iñigo Quílez's article *Terrain Raymarching.* At the moment it uses a sine function over the x and z coordinates of the point instead of a perlin noise function as a compact proof of concept. The same transformations are supported. #### menger sponge -The menger sponge function iteratively computes a distance for a menger sponge to the 3rd iteration. +![](img/sponge.png) +The menger sponge function iteratively computes a distance for a menger sponge. The default computation is only to the 3rd iteration. The same transformations are supported. ### Lighting Features @@ -107,4 +109,4 @@ When using naive raymarching the vast majority of time per frame is spent on ray Two of the above features are likely to demonstrate branch divergence performance hits: shadowing, and the distance function for the menger sponge. Soft shadowing breaks out of the ray march towards the light depending on the point in the scene. Threads computing points close to each other in the scene (and close to each other in screen space) should have less divergence the closer they are together, with the most divergence in the "soft shadow" region. -The menger sponge, on the other hand, features branch divergence in a much more extreme way that likely explains its computational expense. The sponge is computed at each iteration by assessing the bounding box of the sponge iteration and checking against each of the 22 sub-iteration boxes within this iteration's box. This check determines the bounding box of the next iteration that must be computed. \ No newline at end of file +The menger sponge, on the other hand, features branch divergence in a much more extreme way that likely contributes to its computational expense. The sponge is computed at each iteration by assessing the bounding box of the sponge iteration and checking against each of the 22 sub-iteration boxes within this iteration's box. 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zjhKr4&j{1>H1+*s13_L4ie8}|WQ_-Y`l%cb^Sv?%4zth^&g=IjltzwW?rRavvq6Sp zY5-B2NyrurFr%o-lvn_?kKkjltIT&(LDFvk*vs58$i#h`7#Xdf)8v93Fa@LSk+!hz ze1*6B1F1FoZq`;y`cYuY6ZV>=nM5$yDD8}_n91aD8oK= z*i0NaG%sHu(@SqBCnlR=qrU0Vj54`RNy6cayqM+WfUov&+=dexNSW)%+s`fbwDG@c zTkOcQ&TNw}j@0z_bq}>Lr(P(L@8@I?2b^MuhY@JQ|7UfOIu^O%UuiQ7C-3i|(obl$ zVWMvrpJO~Y$EW!fvuvH?m4S*Pzd9C36(HzYa4QEXBUQy{4@A!+ zb-;vz;uHK2k&SBFuUH6ZeoO&A!q|7;8nB16P!Bz|9zq`*^Fl4Br~A-1^E$DA6;s!5 s#2s?^sVxzMIvrI~_XCLcx}LADM@+LP{=9^D0$&F?QE23Hl6Tzy09lcOR{#J2 literal 0 HcmV?d00001 From 209ee9c7a92f445a71b2e4c6564240bb6f6dc12b Mon Sep 17 00:00:00 2001 From: Kangning Li Date: Mon, 19 Oct 2015 12:48:21 -0400 Subject: [PATCH 38/39] added some more diagrams --- README.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/README.md b/README.md index 0b9247a..a0af1ba 100644 --- a/README.md +++ b/README.md @@ -100,6 +100,9 @@ For both marching methods, computation time substantially decreased the closer t The "steps" debugging setting also yields some interesting observations. While the difference in brightness clearly indicates that the spherical method takes significantly fewer steps per ray, it also indicates from the light 'haze' around the edges of objects that rays marching near edges of objects tend to "decelerate" as they approach the object, taking more steps than rays passing objects from further away. +![](img/steps_sphere.png) +![](img/steps_naive.png) + #### Time spent raymarching vs. Time spent on lighting computation ![](img/charts/stage_time.png) From ca6d4176865fc3ec2248346f43d900b487c9d735 Mon Sep 17 00:00:00 2001 From: likangning93 Date: Mon, 19 Oct 2015 18:32:35 -0400 Subject: [PATCH 39/39] fixed readme something. also iq took my shader offline b/c it was crashing? --- README.md | 4 +--- raymarch.glsl | 16 ++++++++-------- 2 files changed, 9 insertions(+), 11 deletions(-) diff --git a/README.md b/README.md index a0af1ba..0e1e97c 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,4 @@ -# [CIS565 2015F] YOUR TITLE HERE - -**GLSL Ray Marching** +# [CIS565 2015F] GLSL Ray Marching **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 5** diff --git a/raymarch.glsl b/raymarch.glsl index 400e2fe..42fc0ab 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -16,7 +16,7 @@ // advanced distsance functions and stepping method #define RENDERFRACTAL 1 #define RENDERHEIGHTFUNCTION 1 -#define SPHERESTEP 0 +#define SPHERESTEP 1 mat3 eulerXYZRotationMatrix(in vec3 rotation) { //https://en.wikipedia.org/wiki/Euler_angles#Rotation_matrix @@ -452,12 +452,12 @@ vec3 computeNormal(in vec3 point) { float hardShadow(in vec3 rayPosition, in vec3 lightPosition) { - float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 + float stepSize = 0.01; float t = EPSILON + stepSize + stepSize; vec3 stepDir = normalize(lightPosition - rayPosition); float lightDistance = length(lightPosition - rayPosition); - for (int i = 0; i < 2000; i++){ + for (int i = 0; i < 1000; i++){ float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; if (dist < EPSILON) return 0.0; // shadowed if (t > lightDistance) break; @@ -471,13 +471,13 @@ float hardShadow(in vec3 rayPosition, in vec3 lightPosition) float softShadow(in vec3 rayPosition, in vec3 lightPosition) { - float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 + float stepSize = 0.05; // 100 * 0.1 + 1.0 gives us a max distance of 20.0 float t = EPSILON + stepSize + stepSize; vec3 stepDir = normalize(lightPosition - rayPosition); float lightDistance = length(lightPosition - rayPosition); float shadowTerm = 1.0; // default to unshadowed - for (int i = 0; i < 2000; i++){ + for (int i = 0; i < 1000; i++){ float dist = sceneGraphDistanceFunction(rayPosition + stepDir * t)[3]; shadowTerm = min(shadowTerm, 6.0 * dist / t); if (dist < EPSILON) break; // shadowed @@ -516,12 +516,12 @@ float ambientOcclusion(in vec3 position, in vec3 normal) { vec4 castRayNaive(in vec3 rayPosition, in vec3 rayDirection) { float tmin = 1.0; - float stepSize = 0.01; // 2000 * 0.01 + 1.0 gives us a max distance of 20.0 + float stepSize = 0.01; // 100 * 0.1 + 1.0 gives us a max distance of 10.0 float t = tmin; float distance = 1000.0; vec3 color = vec3(-1.0, -1.0, -1.0); - for (int i = 0; i < 2000; i++) { + for (int i = 0; i < 1000; i++) { vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3]; @@ -553,7 +553,7 @@ vec4 castRaySphere(in vec3 rayPosition, in vec3 rayDirection) float t = tmin; float distance; vec3 color = vec3(-1.0, -1.0, -1.0); - for (int i = 0; i < 2000; i++) { + for (int i = 0; i < 100; i++) { vec4 colorAndDistance = sceneGraphDistanceFunction(rayPosition + rayDirection * t); distance = colorAndDistance[3];

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