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project.html
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<!doctype html>
<html>
<head>
<meta charset="utf-8" />
<meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
<title>CAP 4720 Final Project, By William Brigham</title>
<!-- Notes --
Burning Ship: Things get pixelated when very zoomed due to floating point precision issues.
Henon Map:
Alpha 1.4 Beta .3 = Classical Henon Map
Alpha .2 Beta .7 = Horn-like pattern from two spirals.
Alpha .2 Beta -1 = Single orbital with possibility of escape.
Alpha .9 Beta .4 = Four convergence points that seem to lie on the classical Henon map.
Alpha .6 Beta .9 = Two convergence points with a lot of divergence possibilities.
Alpha .1 Beta .9 = Two spirally convergence points with occasional T shapes in the middle.
Alpha .1 Beta 1.1 = Two orbitals in the corners.
-->
<!-- Fractal Shaders -->
<script type="x-shader/x-fragment" id="raymarched">
uniform float i3DIterations;
const float MAX_ITER = 100.;
float sdf(vec3 p) {
mat2 camRotator = rotate2D(iTime * .2);
p.xz = camRotator * p.xz;
p.yz = camRotator * p.yz;
p.xy = camRotator * p.xy;
float bound = fBox(p, vec3(.1));
float cut = 5.;
vec2 reshape = vec2(1. / cut, cut);
vec3 curBox = vec3(.1);
float sd = 0.;
for (float i = 0.; i < MAX_ITER; i += 1.) {
if (i >= i3DIterations) break;
curBox *= reshape.x;
p += curBox * .5;
p = mod(p, curBox);
p -= curBox * .5;
float crossSD = min(
fBox(p, curBox * reshape.xyx), min(
fBox(p, curBox * reshape.yxx),
fBox(p, curBox * reshape.xxy)));
sd = min(sd, crossSD);
}
return max(-sd, bound);
}
float rayMarching(vec3 ro, vec3 rd, float clipNear, float clipFar) {
float cd = 0.;
for (int i = 0; i < 25; ++i) {
vec3 p = ro + cd * rd;
float d = sdf(p);
cd += d;
}
return cd;
}
void main() {
Setup3D info = init3D(vec3(0.,0.,0.), vec3(0.,0.,.3), .5);
vec3 ro = info.origin;
vec3 rd = info.viewDir;
vec3 bgcolor = vec3(1.,0.97,0.92)*0.15;
const float clipNear = 0.0;
const float clipFar = 4.0;
float dist = rayMarching(ro, rd, clipNear, clipFar );
vec3 sceneColor = vec3(vec3(1.,0.,0.) / (1. + 1000000.*dist*dist*dist));
gl_FragColor = vec4(sceneColor, 1.0);
}
</script>
<script type="x-shader/x-fragment" id="binaryTree">
const float MAX_ITER = 100.;
uniform float iBTLevels;
uniform float iBTAngle;
uniform float iBTBaseLength;
uniform float iBTLengthDecayRatio;
uniform float iBTStartHeight;
void main() {
vec2 p = calculateGraphicalUVs();
p.y -= iBTStartHeight;
mat2 rotator = rotate2D(iBTAngle * PI / -180.);
float d = 100.;
float len = iBTBaseLength;
for (float i = 0.; i < MAX_ITER; i += 1.) {
if (i >= iBTLevels) break;
p.x = abs(p.x);
d = min(d, distanceSegmentPoint(vec2(0.), vec2(0., len), p));
p.y -= len;
p = rotator * p;
len *= iBTLengthDecayRatio;
}
if (abs(d) < .005) {
gl_FragColor = vec4(0.,0.,0.,1.);
} else {
gl_FragColor = vec4(1.);
}
}
</script>
<script type="x-shader/x-fragment" id="burningShip">
const float MAX_ITER = 1000.;
uniform float iShipMaxIterations;
uniform float iShipOffsetX;
uniform float iShipOffsetY;
uniform float iShipScale;
void main() {
vec2 uv = calculateGraphicalUVs();
uv *= pow(10., iShipScale);
uv.x += 1.75;
uv.y += .04;
uv += vec2(iShipOffsetX, iShipOffsetY);
vec2 p = uv, z = vec2(0.);
float iter = 0.;
for (float i = 0.; i < MAX_ITER; i += 1.) {
if (length(z) > 60000. || i >= iShipMaxIterations) break;
z = abs(vec2(z.x * z.x - z.y * z.y - p.x, 2. * z.x * z.y - p.y));
iter += 1.;
}
if (iter == MAX_ITER)
gl_FragColor = vec4(0.,0.,0.,1.);
else {
vec3 col = (iter / iShipMaxIterations) * vec3(1,1,1);
gl_FragColor = vec4(col, 1.);
}
}
</script>
<script type="x-shader/x-fragment" id="quadtree">
uniform float iQuadTreeDepth;
void main() {
vec2 uv = calculateGraphicalUVs();
vec2 testPointCoords = vec2(.1234 + sin(iTime * 2.12 * .5) * .5, .345 + cos(iTime * .5) * .6);
float lightLevel = 0.;
// xy is position, zw is size
vec4 currentRect = vec4(-1., -1., 2., 2.);
for (int i = 0; i < 100; ++i) {
if (float(i) >= iQuadTreeDepth) break;
if (currentRect.x <= uv.x &&
currentRect.y <= uv.y &&
uv.x <= currentRect.x + currentRect.z &&
uv.y <= currentRect.y + currentRect.w) {
++lightLevel;
// modify rect to get next quadtree level
currentRect.zw *= .5;
if (testPointCoords.x >= currentRect.x + currentRect.z) currentRect.x += currentRect.z;
if (testPointCoords.y >= currentRect.y + currentRect.w) currentRect.y += currentRect.w;
} else {
break;
}
}
lightLevel /= iQuadTreeDepth;
gl_FragColor = vec4(vec3(lightLevel), 1.);
}
</script>
<script type="x-shader/x-fragment" id="sierpinski">
uniform float iSierpinskiSides;
uniform float iSierpinskiIterations;
// hacky way that's necessary to do variable iterations
const float MAX_ITER = 100.;
void main() {
vec2 uv = calculateGraphicalUVs();
float triangleSize = .75;
float sierpinskiTest = 1.;
mat2 rotate60 = rotate2D(TAU / 6.);
for (float i = 0.; i < MAX_ITER; i += 1.) {
if (i >= iSierpinskiIterations) break;
uv = pModPolar(uv, TAU / iSierpinskiSides, TAU / 4.);
sierpinskiTest *= step(0., fEquilateralTriangle(rotate60 * uv, triangleSize * .5));
uv.y -= .58 * triangleSize;
triangleSize *= .5;
}
vec3 col = vec3(sierpinskiTest);
gl_FragColor = vec4(col, 1.);
}
</script>
<script type="x-shader/x-fragment" id="renderComputeBuffer">
// literally just renders the double-buffered texture.
void main() { gl_FragColor = texture2D(iComputeBuffer, vUV); }
</script>
<script type="x-shader/x-fragment" id="fragShader">
void main() {
Setup3D info = init3D(vec3(0.,0.,-1.), vec3(0.), .5);
vec3 ro = info.origin;
vec3 rd = info.viewDir;
gl_FragColor = texture2D(iComputeBuffer, vUV);
}
</script>
<!-- Reusable Vertex Shader -->
<script type="x-shader/x-vertex" id="vertShader">
precision highp float;
attribute vec3 position;
attribute vec2 uv;
varying vec2 vUV;
void main() {
vUV = uv;
gl_Position = vec4(position, 1.0);
}
</script>
<!-- Helper Prelude -->
<script type="x-shader/x-fragment" id="helperPrelude">
precision highp float;
varying vec2 vUV;
uniform float iTime;
uniform float iAspectRatio;
uniform sampler2D iComputeBuffer;
struct Setup3D {
vec3 origin;
vec3 viewDir;
};
vec2 calculateGraphicalUVs() {
return (2. * vUV - 1.) * vec2(iAspectRatio, 1.);
}
Setup3D init3D(vec3 camPos, vec3 lookAt, float fieldOfView) {
vec2 scrncoord = calculateGraphicalUVs();
vec3 forward = normalize(lookAt - camPos);
vec3 right = normalize(vec3(forward.z, 0., -forward.x));
vec3 up = normalize(cross(forward, right));
Setup3D outputStruct;
outputStruct.origin = camPos;
outputStruct.viewDir = normalize(forward + fieldOfView * scrncoord.x * right + fieldOfView * scrncoord.y * up);
return outputStruct;
}
#define PI 3.1415926535897932384626433832795
#define TAU 6.283185307179586476925286766559
mat2 rotate2D(float a) {
float s = sin(a), c = cos(a);
return mat2(c, -s, s, c);
}
// raymarching functions (mainly taken from http://mercury.sexy/hg_sdf/ )
float vmax(vec2 v) { return max(v.x, v.y); }
float vmax(vec3 v) { return max(v.x, max(v.y, v.z)); }
float vmax(vec4 v) { return max(max(v.x, v.y), max(v.z, v.w)); }
float vmin(vec2 v) { return min(v.x, v.y); }
float vmin(vec3 v) { return min(v.x, min(v.y, v.z)); }
float vmin(vec4 v) { return min(min(v.x, v.y), min(v.z, v.w)); }
float fSphere(vec3 p, float r) {
return length(p) - r;
}
float fBox(vec3 p, vec3 b) {
vec3 d = abs(p) - b;
return length(max(d, vec3(0))) + vmax(min(d, vec3(0)));
}
// from iq's https://www.shadertoy.com/view/Xl2yDW
float fEquilateralTriangle(vec2 p, float size) {
p /= size;
const float rt3 = sqrt(3.);
p.x = abs(p.x) - 1.;
p.y += 1./rt3;
if (p.x + rt3 * p.y > 0.) p = vec2(p.x - rt3 * p.y, -rt3 * p.x - p.y) * .5;
p.x -= clamp(p.x, -2., 0.);
return -length(p) * sign(p.y);
}
vec2 pModPolar(vec2 p, float angle, float offset) {
float a = atan(p.y, p.x) - offset + angle * .5;
float r = length(p);
float c = floor(a / angle);
a = mod(a, angle) - angle * .5;
a += offset;
return vec2(cos(a), sin(a)) * r;
}
float cross2D(vec2 a, vec2 b) { return a.x * b.y - b.x * a.y; }
float distanceLinePoint(vec2 lp1, vec2 lp2, vec2 q) {
return abs(cross2D(lp2 - lp1, q - lp1)) / length(lp2 - lp1);
}
float distanceSegmentPoint(vec2 sp1, vec2 sp2, vec2 q) {
if (dot(sp2 - sp1, q - sp1) < 0.) return length(q - sp1);
if (dot(sp1 - sp2, q - sp2) < 0.) return length(q - sp2);
return distanceLinePoint(sp1, sp2, q);
}
</script>
<!-- Compute Buffer Shaders -->
<script type="x-shader/x-fragment" id="computeStrangeAttractor">
precision highp float;
precision highp int;
uniform float iTime;
uniform sampler2D iComputeBuffer;
uniform float iSAAlpha;
uniform float iSABeta;
uniform float iSAFade;
uniform float iSASize;
varying vec2 vUV;
vec2 hash23(vec3 p3) {
p3 = fract(p3 * vec3(.1031, .1030, .0973));
p3 += dot(p3, p3.yzx+44.44);
return fract((p3.xx+p3.yz)*p3.zy);
}
void main() {
vec4 particledata = texture2D(iComputeBuffer, vec2(0.));
vec2 p = particledata.xy;
if (gl_FragCoord.x <= 1. && gl_FragCoord.y <= 1.) {
if (mod(abs(iTime), 2.) < .1) {
gl_FragColor = vec4(hash23(vec3(p, iTime)), length(hash23(vec3(iTime, p))), .01);
} else {
p *= vec2(10.);
p -= vec2(5.);
vec2 posnew = vec2(1. - iSAAlpha * p.x * p.x + p.y, iSABeta * p.x);
posnew += vec2(5.);
posnew /= vec2(10.);
gl_FragColor = vec4(fract(posnew),particledata.z, particledata.w * 2.);
}
} else {
if (length(p - vUV) < pow(10., iSASize) * particledata.w) {
gl_FragColor = vec4(particledata.zw,0,1);
} else {
gl_FragColor = texture2D(iComputeBuffer, vUV) * iSAFade;
}
}
}
</script>
<script type="x-shader/x-fragment" id="computeRandomWalk">
precision highp float;
precision highp int;
#define TAU 6.283185307179586476925286766559
uniform float iTime;
uniform sampler2D iComputeBuffer;
varying vec2 vUV;
vec2 hash23(vec3 p3) {
p3 = fract(p3 * vec3(.1031, .1030, .0973));
p3 += dot(p3, p3.yzx+44.44);
return fract((p3.xx+p3.yz)*p3.zy);
}
void main() {
vec4 particledata = texture2D(iComputeBuffer, vec2(0.));
vec2 p = particledata.xy;
if (gl_FragCoord.x <= 1. && gl_FragCoord.y <= 1.) {
if (dot(particledata, particledata) < .0001) {
// uninitialized (black)
gl_FragColor = vec4(.5,.5,0.,1.);
} else {
// compute next position
vec2 heading = hash23(vec3(iTime));
p *= 20.;
p -= 10.;
p += vec2(sin(TAU * heading.x), cos(TAU * heading.x)) * heading.y * .5;
p += 10.;
p /= 20.;
p = fract(p);
gl_FragColor = vec4(p, 0., 1.);
}
} else {
vec4 old = texture2D(iComputeBuffer, vUV);
if (length(vUV - p) < .01) {
old.r += .1;
old.r = clamp(old.r, 0., 1.);
}
gl_FragColor = old;
}
}
</script>
<!-- A "clear-everything" compute shader -->
<script type="x-shader/x-fragment" id="computeClear">
precision highp float;
void main() { gl_FragColor = vec4(0.); }
</script>
<!-- End Shaders -->
<script src="https://threejs.org/build/three.min.js"></script>
<script src="https://threejs.org/examples/js/controls/OrbitControls.js"></script>
</head>
<body>
<div id="container"></div>
<script type="module">
"use strict";
import { GUI } from 'https://threejs.org/examples/jsm/libs/dat.gui.module.js';
let scene, sceneCompute, camera, renderer;
let uniforms, drawplane, computePlane, computeUniforms;
let WIDTH = window.innerWidth, HEIGHT = window.innerHeight;
let rtTexture, rtTexture2, renderingToTex1;
let rtClearRequested = false, activeComputeShader = '';
init();
render();
function init() {
renderingToTex1 = true;
initRenderer();
initComputeScene();
initScene();
window.addEventListener("resize", onWindowResize);
let params = {
iSierpinskiSides: 3,
iSierpinskiIterations: 5,
SwitchToSierpinski: function() { switchShader('sierpinski'); },
iQuadTreeDepth: 5,
SwitchToQuadtree: function() { switchShader('quadtree'); },
iSAAlpha: 1.4,
iSABeta: 0.3,
iSAFade: 0.99,
iSASize: -3,
SwitchToStrangeAttractor: function() { rtClearRequested = true; switchShader('renderComputeBuffer'); switchComputeShader('computeStrangeAttractor'); },
iShipMaxIterations: 37,
iShipScale: -1.3,
iShipOffsetX: 0,
iShipOffsetY: 0,
SwitchToBurningShip: function() { switchShader('burningShip'); },
SwitchToRandomWalker: function() { rtClearRequested = true; switchShader('renderComputeBuffer'); switchComputeShader('computeRandomWalk'); },
iBTLevels: 3,
iBTAngle: 90,
iBTBaseLength: .1,
iBTLengthDecayRatio: .5,
iBTStartHeight: -1,
SwitchToBinaryTree: function() { switchShader('binaryTree'); },
i3DIterations: 1,
SwitchTo3DFractal: function() { switchShader('raymarched'); },
};
let gui = new GUI();
let sierpinskiFolder = gui.addFolder('Sierpinski (IFS)');
sierpinskiFolder.add(params, 'SwitchToSierpinski').name('Switch to');
sierpinskiFolder.add(params, 'iSierpinskiSides').min(3).max(10).step(1).name('Sides').onChange(function(testval) { uniforms['iSierpinskiSides'].value = testval; });
sierpinskiFolder.add(params, 'iSierpinskiIterations').min(1).max(8).step(1).name('Iterations').onChange(function(testval) { uniforms['iSierpinskiIterations'].value = testval; });
let binaryTreeFolder = gui.addFolder('Binary Tree (L-System)');
binaryTreeFolder.add(params, 'SwitchToBinaryTree').name('Switch to');
binaryTreeFolder.add(params, 'iBTLevels').min(1).max(30).step(1).name('Depth').onChange(function(testval) { uniforms['iBTLevels'].value = testval; });
binaryTreeFolder.add(params, 'iBTAngle').min(0).max(180).step(1).name('Angle').onChange(function(testval) { uniforms['iBTAngle'].value = testval; });
binaryTreeFolder.add(params, 'iBTBaseLength').min(0).max(1).step(.05).name('Base Length').onChange(function(testval) { uniforms['iBTBaseLength'].value = testval; });
binaryTreeFolder.add(params, 'iBTLengthDecayRatio').min(0).max(1).step(.05).name('Length Ratio').onChange(function(testval) { uniforms['iBTLengthDecayRatio'].value = testval; });
binaryTreeFolder.add(params, 'iBTStartHeight').min(-1).max(1).step(.05).name('Start Height').onChange(function(testval) { uniforms['iBTStartHeight'].value = testval; });
let strangeAttractorFolder = gui.addFolder('Henon Map (Strange Attractor)');
strangeAttractorFolder.add(params, 'SwitchToStrangeAttractor').name('Switch to');
strangeAttractorFolder.add(params, 'iSAAlpha').min(-4).max(4).step(.1).name('Alpha').onChange(function(testval) { computeUniforms['iSAAlpha'].value = testval; });
strangeAttractorFolder.add(params, 'iSABeta').min(-4).max(4).step(.1).name('Beta').onChange(function(testval) { computeUniforms['iSABeta'].value = testval; });
strangeAttractorFolder.add(params, 'iSAFade').min(0).max(1).step(.01).name('Fade Rate').onChange(function(testval) { computeUniforms['iSAFade'].value = testval; });
strangeAttractorFolder.add(params, 'iSASize').min(-3).max(-2).step(.1).name('Draw Size').onChange(function(testval) { computeUniforms['iSASize'].value = testval; });
let burningShipFolder = gui.addFolder('Burning Ship (Escape-Time)');
burningShipFolder.add(params, 'SwitchToBurningShip').name('Switch to');
burningShipFolder.add(params, 'iShipMaxIterations').min(1).max(200).step(1).name('Max Iterations').onChange(function(testval) { uniforms['iShipMaxIterations'].value = testval; });
burningShipFolder.add(params, 'iShipScale').min(-5).max(2).name('Scale').onChange(function(testval) { uniforms['iShipScale'].value = testval; });
burningShipFolder.add(params, 'iShipOffsetX').min(-3).max(3).name('Offset X').onChange(function(testval) { uniforms['iShipOffsetX'].value = testval; });
burningShipFolder.add(params, 'iShipOffsetY').min(-3).max(3).name('Offset Y').onChange(function(testval) { uniforms['iShipOffsetY'].value = testval; });
let randomWalkFolder = gui.addFolder('Random Walk');
randomWalkFolder.add(params, 'SwitchToRandomWalker').name('Switch to');
let quadtreeFolder = gui.addFolder('Quadtree (FSR)');
quadtreeFolder.add(params, 'SwitchToQuadtree').name('Switch to');
quadtreeFolder.add(params, 'iQuadTreeDepth').min(1).max(20).step(1).name('Depth').onChange(function(testval) { uniforms['iQuadTreeDepth'].value = testval; });
let raymarchedFolder = gui.addFolder('Raymarched (3D)');
raymarchedFolder.add(params, 'SwitchTo3DFractal').name('Switch to');
raymarchedFolder.add(params, 'i3DIterations').min(1).max(6).step(1).name('Iterations').onChange(function(testval) { uniforms['i3DIterations'].value = testval; });
onWindowResize();
}
function initComputeScene() {
sceneCompute = new THREE.Scene();
let renderTargetParams = {
minFilter: THREE.LinearFilter,
stencilBuffer: false,
depthBuffer: false,
};
rtTexture = new THREE.WebGLRenderTarget(window.innerWidth, window.innerHeight, renderTargetParams);
rtTexture2 = new THREE.WebGLRenderTarget(window.innerWidth, window.innerHeight, renderTargetParams);
let plane = new THREE.PlaneBufferGeometry(2,2);
computeUniforms = {
"iTime": { value: 1.0 },
"iComputeBuffer": { value: rtTexture2.texture },
"iSAAlpha": { value: 1.4 },
"iSABeta": { value: 0.3 },
"iSAFade": { value: 0.99 },
"iSASize": { value: -3 },
};
computePlane = new THREE.Mesh(plane);
switchComputeShader('computeClear');
sceneCompute.add(computePlane);
}
function initScene() {
scene = new THREE.Scene();
camera = new THREE.OrthographicCamera(-1,1,1,-1,0,1);
let plane = new THREE.PlaneBufferGeometry(2, 2);
uniforms = {
"iTime": { value: 1.0 },
"iAspectRatio": { value: 1.0 },
"iSierpinskiSides": { value: 3 },
"iSierpinskiIterations": { value: 5 },
"iQuadTreeDepth": { value: 5 },
"iComputeBuffer": { value: rtTexture2.texture },
"iShipScale": { value: -1.3 },
"iShipOffsetX": { value: 0 },
"iShipOffsetY": { value: 0 },
"iShipMaxIterations": { value: 37 },
"iBTLevels": { value: 3 },
"iBTAngle": { value: 90 },
"iBTBaseLength": { value: .1 },
"iBTLengthDecayRatio": { value: .5 },
"iBTStartHeight": { value: -1 },
"i3DIterations": { value: 1 },
};
drawplane = new THREE.Mesh(plane);
switchShader('fragShader');
scene.add(drawplane);
}
function render(timestamp) {
requestAnimationFrame(render);
let t = (Date.now() % 10000000) / 1000;//timestamp / 1000;
uniforms['iTime'].value = t;
computeUniforms['iTime'].value = t;
renderer.clear();
if (renderingToTex1) {
uniforms['iComputeBuffer'].value = rtTexture2.texture;
computeUniforms['iComputeBuffer'].value = rtTexture2.texture;
renderer.setRenderTarget(rtTexture);
} else {
uniforms['iComputeBuffer'].value = rtTexture.texture;
computeUniforms['iComputeBuffer'].value = rtTexture.texture;
renderer.setRenderTarget(rtTexture2);
}
// swap buffers
renderingToTex1 = !renderingToTex1;
renderer.clear();
if (rtClearRequested) {
rtClearRequested = false;
let temp = activeComputeShader;
switchComputeShader('computeClear');
renderer.render(sceneCompute, camera);
switchComputeShader(temp);
} else {
renderer.render(sceneCompute, camera);
}
renderer.setRenderTarget(null);
renderer.render(scene, camera);
}
function initRenderer() {
renderer = new THREE.WebGLRenderer({ antialias: true });
renderer.setPixelRatio(window.devicePixelRatio);
renderer.autoClear = false;
document.getElementById('container').appendChild(renderer.domElement);
}
function switchShader(name) {
drawplane.material = new THREE.RawShaderMaterial({
uniforms: uniforms,
vertexShader: document.getElementById('vertShader').textContent,
fragmentShader: document.getElementById('helperPrelude').textContent + document.getElementById(name).textContent
});
switchComputeShader('computeClear');
}
function switchComputeShader(name) {
activeComputeShader = name;
computePlane.material = new THREE.RawShaderMaterial({
uniforms: computeUniforms,
vertexShader: document.getElementById('vertShader').textContent,
fragmentShader: document.getElementById(name).textContent
});
}
function onWindowResize() {
let w = window.innerWidth, h = window.innerHeight;
let ar = w / h;
renderer.setSize(w * .95, h * .95);
uniforms['iAspectRatio'].value = ar;
}
</script>
</body>
</html>