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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Vertex Pass</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/OrbitControls.js"
></script>
<!--
- a minified version mathbox.min.js is also available;
- recommend using a specific version (not @latest) in public sites
-->
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/mathbox@latest/build/bundle/mathbox.js"
></script>
<link
rel="stylesheet"
href="https://cdn.jsdelivr.net/npm/mathbox@latest/build/mathbox.css"
/>
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script type="application/glsl" id="vertex-warp">
uniform float time;
uniform float intensity;
vec4 warpVertex(vec4 xyzw, inout vec4 stpq) {
xyzw += 0.2 * intensity * (sin(xyzw.yzwx * 1.91 + time + sin(xyzw.wxyz * 1.74 + time)));
xyzw += 0.1 * intensity * (sin(xyzw.yzwx * 4.03 + time + sin(xyzw.wxyz * 2.74 + time)));
xyzw += 0.05 * intensity * (sin(xyzw.yzwx * 8.39 + time + sin(xyzw.wxyz * 4.18 + time)));
xyzw += 0.025 * intensity * (sin(xyzw.yzwx * 15.1 + time + sin(xyzw.wxyz * 9.18 + time)));
return xyzw;
}
</script>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
var three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
function pingpong(t) {
return -Math.cos(t / 4);
}
mathbox.set({
scale: 600,
focus: 3,
});
var warpShader = mathbox.shader(
{
code: "#vertex-warp",
},
{
time: function (t) {
return t / 4;
},
intensity: function (t) {
t = t / 4;
intensity = 0.5 + 0.5 * Math.cos(t / 3);
intensity = 1.0 - Math.pow(intensity, 4);
return intensity;
},
}
);
var transition = mathbox.reveal(
{
stagger: [10, 0, 0, 0],
},
{
enter: function (t) {
return 1.0 - Math.pow(1.0 - Math.min(1, (1 + pingpong(t)) * 2), 2);
},
exit: function (t) {
return 1.0 - Math.pow(1.0 - Math.min(1, (1 - pingpong(t)) * 2), 2);
},
}
);
var view = transition
.vertex({
pass: "view",
})
.polar({
bend: 0.25,
range: [
[-MathBox.π, MathBox.π],
[0, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view
.transform({
position: [0, 0.5, 0],
})
.axis({
detail: 512,
})
.scale({
divide: 10,
unit: MathBox.π,
base: 2,
})
.ticks({
width: 3,
classes: ["foo", "bar"],
})
.scale({
divide: 5,
unit: MathBox.π,
base: 2,
})
.format({
expr: function (x) {
return x ? (x / MathBox.π).toPrecision(2) + "π" : 0;
},
})
.label({
depth: 0.5,
zIndex: 1,
});
view.axis({
axis: 2,
detail: 128,
crossed: true,
});
view
.transform({
position: [MathBox.π / 2, 0, 0],
})
.axis({
axis: 2,
detail: 128,
crossed: true,
});
view
.transform({
position: [-MathBox.π / 2, 0, 0],
})
.axis({
axis: 2,
detail: 128,
crossed: true,
});
view
.interval({
id: "sampler",
width: 512,
expr: function (emit, x, i, t) {
emit(
x,
0.5 +
0.25 * Math.sin(x + t) +
0.25 * Math.sin(x * 1.91 + t * 1.81)
);
},
channels: 2,
})
.grid({
divideX: 40,
detailX: 512,
divideY: 20,
detailY: 128,
width: 1,
opacity: 0.5,
unitX: MathBox.π,
baseX: 2,
zBias: -5,
})
.line({
points: "#sampler",
color: 0x3090ff,
width: 5,
});
</script>
</body>
</html>