From 3c9a2426154b526e02ce9be0c609b15bc4b7801f Mon Sep 17 00:00:00 2001 From: rpdome Date: Sun, 25 Oct 2015 11:46:47 -0400 Subject: [PATCH 01/12] Update README.md --- README.md | 176 ++---------------------------------------------------- 1 file changed, 4 insertions(+), 172 deletions(-) diff --git a/README.md b/README.md index 02a82bc..73df575 100644 --- a/README.md +++ b/README.md @@ -4,13 +4,13 @@ **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) +* Ratchpak (Dome) Pongmongkol +* Tested on: **Google Chrome 46.0.2490.71 (64-bit)** on + OSX El Capitan, 2.4 GHz Intel Core i7, 16 GB 1600 MHz DDR3, NVIDIA GeForce GT 650M 1024 MB (rMBP 15" 2013) ### Live on Shadertoy (TODO) -[![](img/thumb.png)](https://www.shadertoy.com/view/TODO) +[![](img/thumb.png)](https://www.shadertoy.com/view/MtSXRt) ### Acknowledgements @@ -19,171 +19,3 @@ This Shadertoy uses material from the following resources: * TODO ### (TODO: Your README) - - -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. - -### 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!** - -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. From a6654dc9cd3b875108e38a540baf248482c65195 Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 00:20:58 -0400 Subject: [PATCH 02/12] Update README.md --- README.md | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index 73df575..d9cbb40 100644 --- a/README.md +++ b/README.md @@ -8,7 +8,7 @@ * Tested on: **Google Chrome 46.0.2490.71 (64-bit)** on OSX El Capitan, 2.4 GHz Intel Core i7, 16 GB 1600 MHz DDR3, NVIDIA GeForce GT 650M 1024 MB (rMBP 15" 2013) -### Live on Shadertoy (TODO) +### Live on Shadertoy [![](img/thumb.png)](https://www.shadertoy.com/view/MtSXRt) @@ -16,6 +16,8 @@ This Shadertoy uses material from the following resources: -* TODO +# http://www.iquilezles.org/www/material/nvscene2008/rwwtt.pdf +# http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf +# https://github.com/dsheets/gloc/blob/master/stdlib/matrix.glsl -### (TODO: Your README) +### Features From 27bc59939afa6daae08bace5c05e3cb65c81c2f0 Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 00:21:14 -0400 Subject: [PATCH 03/12] Update README.md --- README.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/README.md b/README.md index d9cbb40..bda72a5 100644 --- a/README.md +++ b/README.md @@ -16,8 +16,8 @@ This Shadertoy uses material from the following resources: -# http://www.iquilezles.org/www/material/nvscene2008/rwwtt.pdf -# http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf -# https://github.com/dsheets/gloc/blob/master/stdlib/matrix.glsl +* http://www.iquilezles.org/www/material/nvscene2008/rwwtt.pdf +* http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf +* https://github.com/dsheets/gloc/blob/master/stdlib/matrix.glsl ### Features From 6f26c6359e7191b7ab6aed6600365ed6fa3d5c0b Mon Sep 17 00:00:00 2001 From: Dome P Date: Mon, 26 Oct 2015 14:44:13 -0400 Subject: [PATCH 04/12] img --- 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zcH)a^P@c=!D8f#WeHe!UX7x^@fOsvtFxzFsRLt~ex_XEr_IafN??6jF;J8c*qC!ij zN3iOLT=wuv1hkJn2eM6DL$nZ4cCYybmv<&So`N7q@$~x=wj@%uDAk4M=34*k%?|&i z^@wG;SIAPLMS=b2qZYs6(eK9d#yN5mC)cULOh|t7Y}`B-vo%4|NkN0`j4|`Ll8k*uARY$Bz`s!nmv&jBR>4g z6L9j@>_Wa30{Cd?hua_b4pGeiP~#0v3Dgt&{*NMug#ks9ESx@BRANa6Uhr`OMke0B-@Mak1$@8M`o(swHyMcKG5B{Kcxo?_dm*F1 z5B{s!%-?u*MK)g;UvI$H-89FN3@;8$4J=2USbqm3mJEVk5GPLxvCFKo%EB-{rseNj zM;b6|TZJ>YMs|_p-Jz7-{ zu-c%P<~wsJ&6&SOtGaUDMr41okaP`SIJpXlO0e1NIh6TlpXz#a!yjjL43Yrk6U4JT zfht@cvnhN6aJWD~(o6sb9xZN)-c;?|cZ{sYHZ8mgg|UuE7hhp~9<@xWx*ETG{gW~s zoe5UAs_TleA@&3m>6EZP;}nm@&5plNRNpC literal 0 HcmV?d00001 diff --git a/raymarch.glsl b/raymarch.glsl index aac90c8..4a0ad71 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -1,8 +1,103 @@ +#define maxObj 10 +#define step 0.1 +#define maxDist 1e10 +#define maxIter 50 +#define epsilon 0.001 + +#define FIXED_STEP + +struct Material{ + vec3 clr; +}; + +struct Object{ + Material m; + float sd; +}; + +///////////////////////////////////////////////////////////////////////////////////////////// + +float sphereDist(vec3 p, vec3 c, float r){ + return length(p-c) - r; +} + +float planeDist(vec3 p, vec3 c, vec3 n){ + return dot((p-c),n); +} + +Object opUnion(Object a, Object b){ + if(a.sd < b.sd) + return a; + else + return b; +} + +Object intersects(in vec3 p){ + + Material rDiffuse; + rDiffuse.clr = vec3(1.0, 0.0, 0.0); + + Object plane1; + plane1.m = rDiffuse; + plane1.sd = planeDist(p, vec3(0.0), vec3(0.0, 1.0, 0.0)); + + + Object obj; + obj.sd = -1.0; + + obj = opUnion(obj, plane1); + + return obj; +} + +//from inigo quilez's code +vec3 calcNormal(in vec3 pos) +{ + vec3 eps = vec3( 0.001, 0.0, 0.0 ); + vec3 nor = vec3( + intersects(pos+eps.xyy).sd - intersects(pos-eps.xyy).sd, + intersects(pos+eps.yxy).sd - intersects(pos-eps.yxy).sd, + intersects(pos+eps.yyx).sd - intersects(pos-eps.yyx).sd ); + return normalize(nor); +} + + +vec3 getLambertClr(in vec3 p, in Material m){ + vec3 lpos = vec3(2.0, 2.0, 2.0); + vec3 lcol = vec3(1.0, 1.0, 1.0); + + vec3 n = calcNormal(p); + vec3 ldir = lpos - p; + return clamp(dot(ldir, n), 0.0, 1.0) * m.clr * lcol; +} + + +float getStep(){ + return step; +} + vec3 render(in vec3 ro, in vec3 rd) { - // TODO - return rd; // camera ray direction debug view + float t = 0.0; + vec3 p; + Object obj; + + for(int i = 0; i < maxIter; i++) + { + t += getStep(); + if(t > maxDist) break; + + p = ro + (rd * t); + obj = intersects(p); + if(obj.sd > 0.0 && obj.sd < epsilon){ + return getLambertClr(p, obj.m); + } + } + + return vec3(0,0,0); } +///////////////////////////////////////////////////////////////////////////////////////////// + mat3 setCamera(in vec3 ro, in vec3 ta, float cr) { // Starter code from iq's Raymarching Primitives // https://www.shadertoy.com/view/Xds3zN From 7e5904066ec0b9cb2d1640157defeadb803c383a Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 14:44:59 -0400 Subject: [PATCH 05/12] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index bda72a5..206dcdf 100644 --- a/README.md +++ b/README.md @@ -10,7 +10,7 @@ ### Live on Shadertoy -[![](img/thumb.png)](https://www.shadertoy.com/view/MtSXRt) +[![](img/src.png)](https://www.shadertoy.com/view/MtSXRt) ### Acknowledgements From 684a980042fad5239a91f896bdc6c23eb25f99ca Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 14:47:56 -0400 Subject: [PATCH 06/12] Update README.md --- README.md | 6 ++---- 1 file changed, 2 insertions(+), 4 deletions(-) diff --git a/README.md b/README.md index 206dcdf..9f22728 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,4 @@ -# [CIS565 2015F] YOUR TITLE HERE - -**GLSL Ray Marching** +# GLSL Ray Marching **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 5** @@ -10,7 +8,7 @@ ### Live on Shadertoy -[![](img/src.png)](https://www.shadertoy.com/view/MtSXRt) + ### Acknowledgements From ae53c38912288d8b265a0e31459c851ff3892448 Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 15:55:10 -0400 Subject: [PATCH 07/12] Update README.md --- README.md | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/README.md b/README.md index 9f22728..166f88a 100644 --- a/README.md +++ b/README.md @@ -19,3 +19,13 @@ This Shadertoy uses material from the following resources: * https://github.com/dsheets/gloc/blob/master/stdlib/matrix.glsl ### Features +- Soft Shadow +- Ambient Occlusion +- Naive ray marching (fixed step size) & Sphere tracing (step size varies based on signed distance field) + - Over-relaxation method of sphere tracing +- 7 distance estimators. +- Blinn phong lighting +- Union Operator +- Transformation Operator +- Debug Views +- From 4f3ff52af7179b9cab9612262a4c2a2f988cba28 Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 15:55:30 -0400 Subject: [PATCH 08/12] Update README.md --- README.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 166f88a..d6b742b 100644 --- a/README.md +++ b/README.md @@ -28,4 +28,5 @@ This Shadertoy uses material from the following resources: - Union Operator - Transformation Operator - Debug Views -- + +## Performance Analysis From bdf32c76d51d08d829d2d0c44f57248e79e4ecce Mon Sep 17 00:00:00 2001 From: Dome P Date: Mon, 26 Oct 2015 16:01:41 -0400 Subject: [PATCH 09/12] code --- raymarch.glsl | 386 ++++++++++++++++++++++++++++++++++++++++++++------ 1 file changed, 342 insertions(+), 44 deletions(-) diff --git a/raymarch.glsl b/raymarch.glsl index 4a0ad71..d841f89 100644 --- a/raymarch.glsl +++ b/raymarch.glsl @@ -1,99 +1,397 @@ -#define maxObj 10 -#define step 0.1 -#define maxDist 1e10 -#define maxIter 50 -#define epsilon 0.001 +#define maxObj 7 +#define maxDist 20.0 +#define epsilon 0.00001 +#define diffuseCoeff 0.5 +#define ambientCoeff 0.3 +#define specularCoeff 0.2 +#define shadowSample 16 +#define shadowScale 8.0 +#define minStep 0.0001 +#define step 0.01 + +#define ADAPTIVE_STEP + +//displaying 1.0 - t/maxdist +//#define DEBUG_DISTANCE + +//displaying 1.0 - i/maxIter +//#define DEBUG_MARCHITERATION + +//#define OVERRELAXATION + +#ifdef FIXED_STEP + #define maxIter 5000 +#endif + +#ifdef ADAPTIVE_STEP + #define maxIter 500 +#endif -#define FIXED_STEP struct Material{ vec3 clr; + float specPwr; }; struct Object{ Material m; + + // 0 - sphere, 1 - plane, 2 - box, 3 - roundedBox, 4 - Torus, 5 - Cylinder, 6 - Wheel + int type; + + mat4 invT; + float det; + + //these are properties needed for calculating SD + float r; + float R; + vec3 v; +}; + +struct Intersection{ + Material m; float sd; }; -///////////////////////////////////////////////////////////////////////////////////////////// +Object obj[maxObj]; -float sphereDist(vec3 p, vec3 c, float r){ - return length(p-c) - r; -} -float planeDist(vec3 p, vec3 c, vec3 n){ - return dot((p-c),n); -} +//determinant from https://github.com/dsheets/gloc/blob/master/stdlib/matrix.glsl +float determinant(mat2 m) { + return m[0][0]*m[1][1] - m[1][0]*m[0][1] ; + } -Object opUnion(Object a, Object b){ - if(a.sd < b.sd) - return a; - else - return b; +float determinant(mat4 m) { + mat2 a = mat2(m); + mat2 b = mat2(m[2].xy,m[3].xy); + mat2 c = mat2(m[0].zw,m[1].zw); + mat2 d = mat2(m[2].zw,m[3].zw); + float s = determinant(a); + return s*determinant(d-(1.0/s)*c*mat2(a[1][1],-a[0][1],-a[1][0],a[0][0])*b); } -Object intersects(in vec3 p){ +void calcInvTAndDet(out mat4 invT, out float det, in vec3 translate, in vec3 scale){ + mat4 s = mat4(1.0); + mat4 t = mat4(1.0); + + //translate + t[3][0] = translate.x; + t[3][1] = translate.y; + t[3][2] = translate.z; + + //scale + s[0][0] = scale.x; + s[1][1] = scale.y; + s[2][2] = scale.z; + det = determinant(t * s); + + //translate + t[3][0] = -translate.x; + t[3][1] = -translate.y; + t[3][2] = -translate.z; + + //scale + s[0][0] = 1.0/scale.x; + s[1][1] = 1.0/scale.y; + s[2][2] = 1.0/scale.z; + + invT = s * t; +} + +void initScene(){ + //declare material & objects here Material rDiffuse; rDiffuse.clr = vec3(1.0, 0.0, 0.0); + rDiffuse.specPwr = 0.0; + + Material gDiffuse; + gDiffuse.clr = vec3(0.0, 1.0, 0.0); + gDiffuse.specPwr = 10.0; + + Material shinyOrange; + shinyOrange.clr = vec3(1.0, 0.64, 0.0); + shinyOrange.specPwr = 300.0; + + Material wDiffuse; + wDiffuse.clr = vec3(1.0, 1.0, 1.0); + wDiffuse.specPwr = 0.0; Object plane1; + plane1.type = 1; plane1.m = rDiffuse; - plane1.sd = planeDist(p, vec3(0.0), vec3(0.0, 1.0, 0.0)); + plane1.v = vec3(0.0, 1.0, 0.0); + calcInvTAndDet(plane1.invT, plane1.det, vec3(0.0), vec3(1.0)); + + Object sphere1; + sphere1.type = 0; + sphere1.m = shinyOrange; + sphere1.r = 0.25; + calcInvTAndDet(sphere1.invT, sphere1.det, vec3(1.0,0.25,-1.0), vec3(1.0)); + + Object box1; + box1.type = 2; + box1.m = gDiffuse; + box1.v = vec3(0.5, 0.25, 0.25); + calcInvTAndDet(box1.invT, box1.det, vec3(-1.0,0.5,-1.0), vec3(1.0)); + + Object box2; + box2.type = 3; + box2.m = shinyOrange; + box2.v = vec3(0.5, 0.25, 0.25); + box2.r = 0.25; + calcInvTAndDet(box2.invT, box2.det, vec3(-1.0,0.5,1.0), vec3(0.5)); + + Object torus1; + torus1.type = 4; + torus1.m = shinyOrange; + torus1.r = 0.1; + torus1.R = 0.3; + calcInvTAndDet(torus1.invT, torus1.det, vec3(1.0,0.3,1.0), vec3(1.0)); + + Object cylinder1; + cylinder1.type = 5; + cylinder1.m = shinyOrange; + cylinder1.r = 0.2; + cylinder1.R = 0.3; + calcInvTAndDet(cylinder1.invT, cylinder1.det, vec3(0.0,0.5,0.0), vec3(1.0)); + + Object wheel1; + wheel1.type = 6; + wheel1.m = wDiffuse; + wheel1.r = 0.1; + wheel1.R = 0.2; + calcInvTAndDet(wheel1.invT, wheel1.det, vec3(2.0,0.25,0.0), vec3(1.0)); + + obj[0] = plane1; + obj[1] = sphere1; + obj[2] = box1; + obj[3] = box2; + obj[4] = torus1; + obj[5] = cylinder1; + obj[6] = wheel1; +} + +vec3 MultiplyMat(mat4 m, vec3 v){ + return vec3(m * vec4(v, 1)); +} + +///////////////////////////////////////////////////////////////////////////////////////////// + +float sphereDist(vec3 p, float r){ + return length(p) - r; +} - Object obj; - obj.sd = -1.0; +float planeDist(vec3 p, vec3 n){ + return dot(p,n); +} - obj = opUnion(obj, plane1); +float boxDist(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)); +} - return obj; +float roundedBoxDist(vec3 p, vec3 b, float r){ + return length(max(abs(p)-b,0.0))-r; } -//from inigo quilez's code -vec3 calcNormal(in vec3 pos) -{ - vec3 eps = vec3( 0.001, 0.0, 0.0 ); +float torusDist(vec3 p, float r, float R) { + return length(vec2(length(p.xz) - R, p.y)) - r; +} + + +float cylinderDist(vec3 p, float r, float e) { + vec2 d = abs(vec2(length(p.xz), p.y)) - vec2(r, e); + return min(max(d.x,d.y), 0.0) + length(max(d, vec2(0.0, 0.0))); +} + +float length8(vec2 v) { + v *= v; v *= v; v *= v; + return pow(v.x + v.y, 1.0 / 8.0); +} + +float wheelDist(vec3 p, float r, float R) { + return length8(vec2(length(p.xz) - R, p.y)) - r; +} + + +///////////////////////////////////////////////////////////////////////////////////////////// + +Intersection opUnion(Intersection a, Intersection b){ + if(a.sd < b.sd) + return a; + else + return b; +} + +Intersection findClosestSD(in vec3 p){ + //union to get the result + Intersection isx; + isx.sd = maxDist; + + + for(int i = 0; i < maxObj; i++){ + Intersection tmp; + tmp.m = obj[i].m; + + vec3 tP = MultiplyMat(obj[i].invT, p); + + if(obj[i].type == 0) + tmp.sd = sphereDist(tP, obj[i].r) * obj[i].det; + else if(obj[i].type == 1) + tmp.sd = planeDist(tP, obj[i].v) * obj[i].det; + else if(obj[i].type == 2) + tmp.sd = boxDist(tP, obj[i].v) * obj[i].det; + else if(obj[i].type == 3) + tmp.sd = roundedBoxDist(tP, obj[i].v, obj[i].r) * obj[i].det; + else if(obj[i].type == 4) + tmp.sd = torusDist(tP, obj[i].r, obj[i].R) * obj[i].det; + else if(obj[i].type == 5) + tmp.sd = cylinderDist(tP, obj[i].r, obj[i].R) * obj[i].det; + else if(obj[i].type == 6) + tmp.sd = wheelDist(tP, obj[i].r, obj[i].R) * obj[i].det; + + isx = opUnion(isx, tmp); + } + + return isx; +} + +vec3 getNormal(vec3 pos){ + vec3 evec = vec3( epsilon, 0.0, 0.0 ); vec3 nor = vec3( - intersects(pos+eps.xyy).sd - intersects(pos-eps.xyy).sd, - intersects(pos+eps.yxy).sd - intersects(pos-eps.yxy).sd, - intersects(pos+eps.yyx).sd - intersects(pos-eps.yyx).sd ); + findClosestSD(pos+evec.xyy).sd, + findClosestSD(pos+evec.yxy).sd, + findClosestSD(pos+evec.yyx).sd); + nor -= findClosestSD(pos).sd; + nor /= epsilon; + return normalize(nor); } +//from http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf +float softShadow(vec3 ro, vec3 rd){ + float shadow = 1.0; + float t = step; + for(int i = 0; i < shadowSample; i++) + { + float d = findClosestSD(ro + rd*t).sd; + if(d < epsilon) return 0.0; + shadow = min(shadow, shadowScale*d/t); + t += clamp(t, 0.0, 0.05); + } + return clamp(shadow, 0.0, 1.0); +} + +//from http://www2.compute.dtu.dk/pubdb/views/edoc_download.php/6392/pdf/imm6392.pdf +float ambientOcclusion(vec3 p, vec3 n){ + float d = 0.0; + float occlusion = 0.0; + float denom = 0.5; + + for(int i = 0; i < 5; i++){ + float k = float(i); + float d = findClosestSD(p + n*k).sd; + occlusion += (k*step - d) * denom; + denom *= 0.5; + } + return 1.0 - clamp(occlusion, 0.0, 1.0); +} -vec3 getLambertClr(in vec3 p, in Material m){ +vec3 getColor(in vec3 p, in vec3 view, in Material m){ vec3 lpos = vec3(2.0, 2.0, 2.0); vec3 lcol = vec3(1.0, 1.0, 1.0); - vec3 n = calcNormal(p); - vec3 ldir = lpos - p; - return clamp(dot(ldir, n), 0.0, 1.0) * m.clr * lcol; + vec3 n = getNormal(p); + vec3 ldir = normalize(lpos - p); + vec3 vdir = normalize(view - p); + + //blinn phong + //diffuse + float diffuse = clamp(dot(ldir, n), 0.0, 1.0); + diffuse *= softShadow(p, ldir); + diffuse *= ambientOcclusion(p, n); + + //specular + float specular = 0.0; + if(m.specPwr > 0.0){ + vec3 hdir = normalize(ldir + vdir); + float specAngle = max(dot(hdir, n), 0.0); + specular = pow(specAngle, m.specPwr); + } + + return diffuseCoeff * diffuse * m.clr * lcol + + specularCoeff * specular * lcol + + ambientCoeff * m.clr; } -float getStep(){ +float getStep(vec3 p){ + +#ifdef FIXED_STEP return step; +#endif + +#ifdef ADAPTIVE_STEP + return max(findClosestSD(p).sd, minStep); +#endif + } vec3 render(in vec3 ro, in vec3 rd) { float t = 0.0; + float dt = 0.0; vec3 p; - Object obj; + Intersection isx; + +#ifdef OVERRELAXATION + float k = 1.2; + float prevdt = k * getStep(ro); +#endif + + initScene(); for(int i = 0; i < maxIter; i++) { - t += getStep(); - if(t > maxDist) break; + dt = getStep(p); + +#ifdef OVERRELAXATION + k = dt > prevdt ? k : 1.0; + prevdt = k * dt; + t += k * dt; +#endif + +#ifndef OVERRELAXATION + t += dt; +#endif + + if(t > maxDist || dt < epsilon) break; p = ro + (rd * t); - obj = intersects(p); - if(obj.sd > 0.0 && obj.sd < epsilon){ - return getLambertClr(p, obj.m); + isx = findClosestSD(p); + if(isx.sd < epsilon){ +#ifdef DEBUG_DISTANCE + return vec3(1.0 - t/maxDist); +#endif + +#ifdef DEBUG_MARCHITERATION + return vec3(1.0 - float(i)/float(maxIter)); +#endif + + return getColor(p, ro, isx.m); } } - return vec3(0,0,0); + #ifdef DEBUG_DISTANCE + return vec3(0.0); + #endif + + #ifdef DEBUG_MARCHITERATION + return vec3(0.0); + #endif + + return vec3(0.8, 0.9, 1.0); // Sky color } ///////////////////////////////////////////////////////////////////////////////////////////// @@ -136,7 +434,7 @@ void mainImage(out vec4 fragColor, in vec2 fragCoord) { // render vec3 col = render(ro, rd); - col = pow(col, vec3(0.4545)); + //col = pow(col, vec3(0.4545)); fragColor = vec4(col, 1.0); } From 4ba3be5a0130ea0a1e88e304f699a4ec34d5cace Mon Sep 17 00:00:00 2001 From: Dome P Date: Mon, 26 Oct 2015 16:10:20 -0400 Subject: [PATCH 10/12] img --- img/Adaptive.png | Bin 0 -> 79490 bytes img/Fixed.png | Bin 0 -> 104957 bytes 2 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 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znQT8G^)0vhQtTLeu!C69P%dUy<{(r(gB$FS+u^!zmr`rn#7(Oai{pfcCkn{1ID6f} z3QQb`jC)DbP0m4&sI3yU=?;hd;trl<3=ZzIFMO;ktvf9|}iWn#J7X$^@O^1=eli)b(-* z2Ns{I2$Jwhj{PEaM~E+e-d*|R+~pW;xL+2fWr_J>mtVXm_bUfL(|Nkz)IfKl^>yEI zcT}|bU7l}J96C@HH;o4wE|&;qX>vfh6J0IVL&?{M=*YRnr5T4HiCJQd;8D|0?XCz9 zX5a3a;%*g9%@1^tb~=iEUV)I~l)P&6w=2x+evcz4M^UGqt^vQJheAJRe0J{I{{WjI B4ut>! literal 0 HcmV?d00001 From a188cea7d11a4d5412b31ee4f949a04333aedbe0 Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 16:21:59 -0400 Subject: [PATCH 11/12] Update README.md --- README.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/README.md b/README.md index d6b742b..54def28 100644 --- a/README.md +++ b/README.md @@ -30,3 +30,6 @@ This Shadertoy uses material from the following resources: - Debug Views ## Performance Analysis +#Fixed step size Vs Sphere tracing + +These images are displayed in debug mode to display the number of iterations, from white (requires less iterations) to black (requires more iterations). It is noticable that with fixed step size (Left), the screen is mostly black-gray, meaning it requires more iteration to reach the object. Meanwhile, even sphere tracing requires less iteration, it is noticable that the algorithm is expensive around the edges of the object. From 6e2657f6f7db39a0d869acc46a238bedb1153ff3 Mon Sep 17 00:00:00 2001 From: rpdome Date: Mon, 26 Oct 2015 17:08:23 -0400 Subject: [PATCH 12/12] Update README.md --- README.md | 5 ++++- 1 file changed, 4 insertions(+), 1 deletion(-) diff --git a/README.md b/README.md index 54def28..325d504 100644 --- a/README.md +++ b/README.md @@ -30,6 +30,9 @@ This Shadertoy uses material from the following resources: - Debug Views ## Performance Analysis -#Fixed step size Vs Sphere tracing +###Fixed step size Vs Sphere tracing These images are displayed in debug mode to display the number of iterations, from white (requires less iterations) to black (requires more iterations). It is noticable that with fixed step size (Left), the screen is mostly black-gray, meaning it requires more iteration to reach the object. Meanwhile, even sphere tracing requires less iteration, it is noticable that the algorithm is expensive around the edges of the object. + +#### Over-relaxation method +Unexpectedly, over-relaxation (with k = 1.2) does not speed up the program much (The different is around 2-5 fps, from 30 fps). I suspect that this is due to the branch divergence that is caused by its condition checking.