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index.htm
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>MathBox - IDP color categorization</title>
<script type="text/javascript" charset="utf-8" src="mathbox/domready.js"></script>
<script type="text/javascript" charset="utf-8" src="mathbox/mathbox.js"></script>
<script type="text/javascript" charset="utf-8">
DomReady.ready(function () {
if (location.href.match(/^file:/)) {
document.getElementById('info').style.opacity = 1;
document.getElementById('info').innerHTML = "Sorry. This example does not work when accessed using file://. Please use an http:// host and try again.";
}
});
</script>
<script type="text/javascript" charset="utf-8">
var brown = 0x924000,
orangered = 0xc03000,
red = 0xc02050,
green = 0x50c020,
inside = 0xf9ffe8,
darkgreen = 0x509000,
darkergreen = 0x284800,
blue = 0x3080ff,
lightblue = 0x8bb8ff,
darkblue = 0x17408f,
surfacered = 0xdf5000,
darkpurple = 0xd040b0,
darkpurple = 0x95227c,
royal = 0x5528A0,
gold = 0xefc040,
slate = 0x5070A0,
darkslate = 0x45628d,
cyan = 0x30A0B0,
darkcyan = 0x24876f,
lightgray = 0xe0e0e0;
gray = 0xc0c0c0;
darkgray = 0xa0a0a0,
orange = 0xFF9703,
darkorange = 0xc46a02,
white = 0xffffff,
black = 0x404040;
var standardNormal = function(z) {
return 1 / Math.sqrt(2*π) * Math.exp(-z*z / 2)
};
var normal = function(μ, σ2) {
// σ2 = 4*σ2
var σ = Math.sqrt(σ2);
var res = function(x) {
return standardNormal((x - μ) / σ) / σ;
};
res.μ = μ;
res.σ2 = σ2;
return res;
};
var normal2D = function(n1, n2, cov) {
// cov = 4*cov
var det_Σ = (n1.σ2 * n2.σ2 - cov*cov);
return function(x1, x2) {
x1 -= n1.μ;
x2 -= n2.μ;
var r_squared = ((x1*x1*n2.σ2) + (x2*x2*n1.σ2) - 2*(x2*x1*cov)) / det_Σ;
return standardNormal(Math.sqrt(r_squared)) / Math.sqrt(det_Σ * 2*π);
}
}
var noneRedNormal = normal(68.9, 1.67368421053);
var noneBlueNormal = normal(94.95, 0.997368421053);
var noneNormal = normal2D(noneRedNormal, noneBlueNormal, 0.573684210526);
var whiteRedNormal = normal(100.7, 36.0);
var whiteBlueNormal = normal(149.3, 10.8);
var whiteNormal = normal2D(whiteRedNormal, whiteBlueNormal, 16);
var brownRedNormal = normal(85.55, 71.1);
var brownBlueNormal = normal(122.15, 21.0);
var brownNormal = normal2D(brownRedNormal, brownBlueNormal, 38);
var tastyRedNormal = normal(73.05, 32.3657894737);
var tastyBlueNormal = normal(115.0, 34.4210526316);
var tastyNormal = normal2D(tastyRedNormal, tastyBlueNormal, 6);
var fixClip = function(d) {
if(d.brown > d.white && d.brown > d.tasty) {
d.white = d.tasty = -0.0002;
}
else if(d.white > d.tasty && d.white > d.brown) {
d.tasty = d.brown = -0.0002;
}
else if(d.tasty > d.brown && d.tasty > d.white) {
d.brown = d.white = -0.0002;
}
return d;
}
var allNorms = function(r, b) {
return fixClip({
brown: brownNormal(r, b),
white: whiteNormal(r, b),
tasty: tastyNormal(r, b),
});
}
var allNormsNoCo = function(r, b) {
return fixClip({
brown: brownRedNormal(r) * brownBlueNormal(b),
white: whiteRedNormal(r) * whiteBlueNormal(b),
tasty: tastyRedNormal(r) * tastyBlueNormal(b),
});
}
function mathboxSetup() {
// Viewport camera/setup
mathbox
// Cartesian viewport
.viewport({
type: 'cartesian',
range: [[0, 256], [0, 0.1], [0, 256]],
scale: [1.5, 1, 1.5],
})
.camera({
orbit: 2.5,
phi: τ/4,
theta: 0,
})
.transition(300)
}
var all_domain = [[0, 256], [0, 256]];
var small_domain = [[32, 128], [64, 160]];
window.mathboxScript = [
// Nothing
[
['add', 'axis', {
axis: 0,
color: darkgray,
lineWidth: 2,
size: .05,
ticks: 4,
tickUnit: 64,
tickScale: 2,
labels: true,
decimals: 3
}],
['add', 'axis', {
id: 'vert-axis',
axis: 1,
color: darkgray,
lineWidth: 2,
size: .05
}]
],
[
['add', 'curve', {
id: 'brown-l',
color: brown,
domain: [0, 255],
n: 256,
expression: function(x) {
return [x, brownRedNormal(x), 0];
}
}]
],
[
['add', 'curve', {
id: 'white-l',
color: gray,
domain: [0, 255],
n: 256,
expression: function(x) {
return [x, whiteRedNormal(x), 0];
}
}],
['add', 'curve', {
id: 'tasty-l',
color: darkpurple,
domain: [0, 255],
n: 256,
expression: function(x) {
return [x, tastyRedNormal(x), 0];
}
}]
],
[
['add', 'axis', {
axis: 2,
color: darkgray,
lineWidth: 2,
size: .05,
tickUnit: 64,
tickScale: 2,
ticks: 4,
labels: true,
decimals: 3
}],
['animate', 'camera', {
orbit: 6,
phi: τ/4 - τ/16,
theta: τ/16,
lookAt: [0, -0.5, 0]
}, {
duration: 2000,
}],
['add', 'curve', {
id: 'brown-lb',
color: brown,
domain: [0, 0],
n: 256,
expression: function(x) {
return [0, brownBlueNormal(x), x];
}
}],
['add', 'curve', {
id: 'white-lb',
color: gray,
domain: [0, 0],
n: 256,
expression: function(x) {
return [0, whiteBlueNormal(x), x];
}
}],
['add', 'curve', {
id: 'tasty-lb',
color: darkpurple,
domain: [0, 0],
n: 256,
expression: function(x) {
return [0, tastyBlueNormal(x), x];
}
}],
['animate', '#brown-lb', {domain: [0, 255]}, {duration: 2000}],
['animate', '#white-lb', {domain: [0, 255]}, {duration: 2000}],
['animate', '#tasty-lb', {domain: [0, 255]}, {duration: 2000}],
],
[
['add', 'surface', {
opacity: 0.75,
line: true,
id: 'brown-s',
color: brown,
domain: [all_domain[0], [0, 0]],
n: [64, 64],
expression: function(u, v) {
return [u, allNormsNoCo(u, v).brown, v];
}
}],
['add', 'surface', {
opacity: 0.75,
line: true,
id: 'white-s',
color: gray,
domain: [all_domain[0], [0, 0]],
n: [64, 64],
expression: function(u, v) {
return [u, allNormsNoCo(u, v).white, v];
}
}],
['add', 'surface', {
opacity: 0.75,
line: true,
id: 'tasty-s',
color: darkpurple,
domain: [all_domain[0], [0, 0]],
n: [64, 64],
expression: function(u, v) {
return [u, allNormsNoCo(u, v).tasty, v];
}
}],
['animate', '#brown-s', {domain: all_domain}],
['animate', '#white-s', {domain: all_domain}],
['animate', '#tasty-s', {domain: all_domain}],
],
[
['remove', '#brown-l'],
['remove', '#white-l'],
['remove', '#tasty-l'],
['remove', '#brown-lb'],
['remove', '#white-lb'],
['remove', '#tasty-lb'],
['animate', '#brown-s', {
expression: function(u, v) {
return [u, allNorms(u, v).brown, v];
}
}],
['animate', '#none-s', {
expression: function(u, v) {
return [u, allNorms(u, v).none, v];
}
}],
['animate', '#white-s', {
expression: function(u, v) {
return [u, allNorms(u, v).white, v];
}
}],
['animate', '#tasty-s', {
expression: function(u, v) {
return [u, allNorms(u, v).tasty, v];
}
}],
['animate', 'viewport', {
range: [all_domain[0], [0, 0.1], all_domain[1]],
}]
],
[
['remove', '#vert-axis'],
['animate', 'camera', {
orbit: 5,
phi: τ / 2,
theta: τ/4,
}, {
duration: 3000,
}],
]
]
/**
* Bootstrap
*/
DomReady.ready(function() {
ThreeBox.preload([
'mathbox/snippets.glsl.html',
], function (){
// MathBox boilerplate
var mathbox = window.mathbox = mathBox({
cameraControls: false,
cursor: true,
controlClass: ThreeBox.OrbitControls,
elementResize: true,
fullscreen: true,
screenshot: true,
stats: false,
scale: 1,
});
// mathbox.world().loop().hookPreRender(function() {
// window.thetas = getThetas();
// });
mathbox.start();
// Set up director
var script = window.mathboxScript;
var director = window.director = new MathBox.Director(mathbox, script);
if(false && window.top != window) {
window.addEventListener("message", function(e) {
var d = e.data;
if(d.type == 'step') {
director.go(d.step);
}
}, false);
}
else {
// Arrow controls
// Controls for stand-alone
window.addEventListener('keydown', function (e) {
if (e.keyCode == 38 || e.keyCode == 37) director.back();
else if (e.keyCode == 40 || e.keyCode == 39) director.forward();
else {
return;
}
document.getElementById('info').style.opacity = '0';
});
}
if(window.top == window) {
document.getElementById('border').style.visibility = 'visible';
}
mathboxSetup(mathbox);
});
});
</script>
<style type="text/css" media="screen">
html, body { height: 100%; }
body { margin: 0;
background-color: transparent;
padding: 0;
}
canvas { display: block }
#border {
position: absolute;
top: 0;
left: 0;
right: 0;
bottom: 0;
border-left: 20px solid #3f2f88;
border-right: 20px solid #ef4524;
z-index: 1;
visibility: hidden;
}
#info {
position: absolute;
left: 50%;
bottom: 50px;
z-index: 20;
width: 300px;
margin-left: -150px;
padding: 25px;
background: rgba(0, 0, 0, .5);
color: #fff;
font-family: "Lucida Grande", sans-serif;
font-size: 16px;
text-align: center;
border-radius: 3px;
text-shadow: 0px 1px 0px rgba(0, 0, 0, .4);
/*opacity: 0;*/
}
#info kbd {
background: #aaa;
box-shadow: 0px 1px 1px rgba(0, 0, 0, .3);
border-radius: 3px;
padding: 3px;
margin: 3px;
font-family: inherit;
}
</style>
</head>
<body>
<div id="border"></div>
<div id="info">Press the <kbd>→</kbd> key to step through.</div>
</body>
</html>