code stringlengths 0 56.1M | repo_name stringlengths 3 57 | path stringlengths 2 176 | language stringclasses 672 values | license stringclasses 8 values | size int64 0 56.8M |
|---|---|---|---|---|---|
# Custom GLSL shaders in MathBox
MathBox offloads most of its computations onto the GPU. As it assembles shaders on the fly, you can easily insert your own pieces of shader code. This is either as part of the usual vertex/fragment shader, or as a (re)sampler, which processes pure data, whether it's values, colors, sprites, weights, and so on.
The `<shader>` node lets you add a GLSL shader you have written into Mathbox. The specific form of the shader will depend on the operator that uses the shader (`<resample>`, `<retext>`, `<mask>`, `<vertex>` or `<fragment>`). By default, they will link up with a preceding `<shader>`, but you can select any shader node using the `shader` prop.
The shader snippet it references will look something like this:
<script type="application/glsl" id="map-temporal-blur">
uniform float intensity;
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
vec4 color = (
getSample(xyz) +
getSample(xyz + vec3(0.0, 0.0, 1.0)) +
getSample(xyz + vec3(0.0, 0.0, 2.0)) +
getSample(xyz + vec3(0.0, 0.0, 3.0))
) / 4.0;
float v = (color.x + color.y + color.z) * intensity;
return vec4(vec3(v * v) / 8.0, 1.0);
}
</script>
* The names of the functions are not relevant outside the `<script>` block. The functions are considered anonymous lambdas. The name that matters is the id in the script tag.
* These scripts have type `application/glsl` and use different conventions from JavaScript.
* The script shown here has random access to inputs using `getSample()`. Here it is accessing four different values.
* Global parameters are defined as `uniforms` and can be set like any other prop on the `<shader>` node, e.g. `.shader({ code: "...", intensity: 2 })`.
## Multiple Sources
Shaders are not limited to sampling from one (implied) source. You can specify an array of additional `sources` as a prop. This can be an array of selectors and/or nodes. Note you can also pass the code inline instead of via a `<script>` tag, though this is awkward without multi-line strings in classic JavaScript.
For example, for a `.shader({ code: "#multi-shader", sources: ["#array1", "#array2"] })`, the GLSL code would look like this:
<script type="application/glsl" id="multi-shader">
// External sources
vec4 getArray1Sample(vec4 xyzw);
vec4 getArray2Sample(vec4 xyzw);
// Source being resampled
vec4 getSample(vec4 xyzw);
vec4 getFramesSample(vec4 xyzw) {
return (getArray1Sample(xyzw) + getArray2Sample(xyzw)) * getSample(xyzw);
}
</script>
This samples both arrays and combines it with the third (implied) source. The order of the function definitions is matched with the array, their names are ignored. Note that external sources always have the signature `vec4 function(vec4)`, unlike implied sources, which depend on use (see below).
## Resample
This will take a data array and produce a new one, of the same or different size.
The callback signature depends on both indices and channels, mapping to float/vec2/vec3/vec4. Indices specifies the type of the argument, channels the return type. The example below is `{indices: 3, channels: 4}`:
<script type="application/glsl" id="resample-shader">
uniform vec3 dataResolution; // inverse dimensions (sample-adjusted)
uniform vec3 dataSize; // dimensions
uniform vec3 targetResolution; //
uniform vec3 targetSize; //
vec4 getSample(vec3 xyz); // indices 3, channels 4
vec4 getFramesSample(vec3 xyz) { //
return getSample(xyz); //
}
</script>
Used e.g. as
mathbox
.matrix({ ... })
.shader({
code: "#resample-shader"
})
.resample({
indices: 3,
channels: 4,
});
Resample has a plethora of options, including the choice of centered vs uncentered sampling on each axis (e.g. `centeredX: false`). Uncentered sampling places the data on the corners, on coordinates 0...N-1 in each dimension. Centered sampling places the data in the middle, on coordinates [0.5...N-0.5].
Uncentered (default) sampling is appropriate for raw data, like an array of points being reduced to the even items. Centered sampling is appropriate for continuous/lerped data, like an image being resampled with bilinear filtering.
## Retext
This will take a GL text array and produce a new one, of the same or different size.
To render text, MathBox will produce a 2D text atlas, i.e. a bunch of text sprites packed into rows and columns in one big image. Each "data point" is then an (x,y,w,h) vec4, describing the XY offset and Width/Height of a sprite in the atlas.
So when you "retext", you are basically taking an input set of text sprites, and producing a new output set of sprites. This can be an arbitrary selection/permutation/repetition and can be larger or smaller.
Retext is easiest to understand with an example. Suppose you want to take an array of colors and render them as RGB strings, i.e. "0" to "255". You first emit text for the strings "0" to "255":
mathbox
.text({
width: 256,
weight: 'bold',
expr: function (emit, i) { emit(i); },
});
Now you can take your array of source data, `#colors`, and retext your strings to produce the matching sprite per data point, e.g. for the red channel:
<script type="application/glsl" id="retext-shader">
vec4 getColorSample(vec4 xyzw);
vec4 getTextSample(vec4 xyzw);
vec4 resample(vec4 xyzw) {
vec4 rgba = getColorSample(xyzw);
float i = floor(rgba.r * 255.0 + .5);
return getTextSample(vec4(i, 0, 0, 0));
}
</script>
mathbox
.shader({
sources: ["#colors"],
code: "#retext-shader"
.retext({
sample: 'absolute', // sample absolute source instead of relative to target
width: WIDTH,
height: HEIGHT,
})
.label({
points: "#points", // e.g.
color: 'red',
})
## Mask
Mask is a specialized vertex + fragment shader for transparency masking. It takes 4D UV coordinates (stpq) and produces a floating point mask value.
While the result will be clamped to 0...1 and applied in the fragment shader, the per-vertex value is unbounded. This allows for transitions that are sharper than the underlying geometry. For example, if one vertex has mask 2 and the next has -1, then the actual transition from 0..1 will be in the middle, half as wide as the vertex spacing. This is what allows e.g. the `stagger` option on `.reveal()` to work even on low-res geometry.
The coordinates `stpq` passed in are in the range 0...1 across the source data, e.g.:
<script type="application/glsl" id="mask-shader">
float getMask(vec4 stpq) {
vec2 sines = sin(stpq.st * 10.0);
return (sines.x * sines.y);
}
</script>
mathbox
.shader({
code: "#mask-shader",
})
.mask()
// masked shapes
.end()
## Vertex
Vertex is a raw vertex shader stage (per vertex/point). It takes a position (xyzw) and 4D UV coordinates (stpq) and produces new ones.
<script type="application/glsl" id="vertex-shader">
vec4 vertexShader(vec4 xyzw, inout vec4 stpq) {
return xyzw;
}
</script>
mathbox
.shader({
code: "#vertex-shader",
})
.vertex()
// vertex shaded shapes
.end()
* You can control when your shader is applied using the `pass` property:
- `data` operates on the original source data, before any views are applied.
- `view` (default), works like any other view, e.g. `<polar>`.
- `world` is applied after all the views.
- `eye` is applied in eye space, i.e. relative to the current view.
* If you wish for the modified STPQ value to be passed to a custom fragment shader, add a `#define POSITION_STPQ` to both.
* Custom `varyings` will not work as expected, as a shader may call this snippet for neighbouring data points as well.
# Fragment
Fragment is a raw fragment shader stage (per pixel/sample). It takes a color (rgba) and 4D UV coordinates (stpq) and produces new ones.
<script type="application/glsl" id="vertex-shader">
vec4 fragmentShader(vec4 rgba, inout vec4 stpq) {
return rgba;
}
</script>
mathbox
.shader({
code: "#fragment-shader",
})
.fragment()
// Fragment shaded shapes
.end()
* Colors outside the range 0...1 may be used in a floating point render-to-texture.
* Set `.fragment({ gamma: false })` to operate directly in linear RGB rather than sRGB.
* Applying a fragment shader will disable the built-in shader for surfaces.
## GLSL shaders for Javascript Programmers
* Color format is RGBA. Each component is a float (0.0 to 1.0) and A is 1.0 for full opacity.
* Write such constants as `1.0` rather than `1`. The floating point nature matters and is not converted automatically.
* Values outside the range 0.0..1.0 will not be clamped automatically. `clamp()` is your friend.
* `vec4( v.yx, 0.5, 1.0 )` is shorthand for `vec4( v.y, v.x, 0.5, 1.0 )`
* `vec3( 7.0 )` is shorthand for `vec3( 7.0, 7.0, 7.0 )`
* Your shader does not need to call `getSample()` if it can compute its results just from the coordinates passed in to it.
| cchudzicki/mathbox | docs/shaders.md | Markdown | mit | 9,314 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Scatterplot</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
// 3D Scatterplot by Max Goldstein, CC-BY
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.controls.maxDistance = 5;
three.renderer.setClearColor(new THREE.Color(0xfafaf8), 1.0);
var view = mathbox.cartesian({
range: [
[0, 2],
[0, 1],
[0, 1],
],
scale: [2, 1, 1],
});
var dataMaximums = [7.9, 4.4, 6.9, 2.5];
var dataMinimums = [4.3, 2, 1, 0.1];
var dataRanges = [0, 1, 2, 3].map(function (i) {
return dataMaximums[i] - dataMinimums[i];
});
var dataScaledMinimums = [0, 1, 2, 3].map(function (i) {
return dataMinimums[i] / dataRanges[i];
});
var colors = {
x: 0xff4136, // red
y: 0xffdc00, // yellow
z: 0x0074d9, // blue
xy: 0xff851b, // orange
xz: 0xb10dc9, // purple
yz: 0x2ecc40, // green
xyz: 0x654321, // brown
};
function interpolate(lo, hi, n) {
n--; // go to end of range
var vals = [];
for (var i = 0; i <= n; i++) {
vals.push(Math.round(10 * (lo + (hi - lo) * (i / n))) / 10);
}
return vals;
}
view
.scale({
divide: 5,
origin: [0, 0, 1, 0],
axis: "x",
})
.text({
live: false,
data: interpolate(dataMinimums[0], dataMaximums[0], 5),
})
.label({
color: colors.x,
});
view
.scale({
divide: 3,
origin: [0, 0, 1, 0],
axis: "y",
})
.text({
live: false,
data: interpolate(dataMinimums[1], dataMaximums[1], 3),
})
.label({
color: colors.y,
offset: [-16, 0],
});
view
.scale({
divide: 3,
origin: [2, 0, 0, 0],
axis: "z",
})
.text({
live: false,
data: interpolate(dataMinimums[2], dataMaximums[2], 3),
})
.label({
color: colors.z,
offset: [16, 0],
});
view
.grid({
axes: "xy",
divideX: 3,
divideY: 3,
})
.grid({
axes: "xz",
divideX: 3,
divideY: 3,
})
.grid({
axes: "yz",
divideX: 3,
divideY: 3,
});
view
.array({
items: 1,
channels: 4,
live: false,
id: "data",
// data: is set below
})
.swizzle({
order: "xyz",
})
.transform({
scale: dataRanges.slice(0, 3).map(function (d, i) {
return i ? 1 / d : 2 / d;
}),
position: dataScaledMinimums.slice(0, 3).map(function (d, i) {
return i ? -d : -2 * d;
}),
})
.point({
color: 0x222222,
size: 12,
})
.transform({
scale: [1, 1, 0],
position: [0, 0, dataMinimums[2]],
})
.point({
color: colors.xy,
size: 7,
})
.end()
.transform({
scale: [1, 0, 1],
position: [0, dataMinimums[1], 0],
})
.point({
color: colors.xz,
size: 7,
})
.end()
.transform({
scale: [0, 1, 1],
position: [dataMinimums[0], 0, 0],
})
.point({
color: colors.yz,
size: 7,
})
.end()
.transform({
position: [0, dataMaximums[1], dataMinimums[2]],
scale: [1, 0.001, 0],
})
.repeat({
items: 2,
})
.spread({
unit: "absolute",
alignItems: "first",
items: [0, 100, 0, 0],
})
.vector({
color: colors.x,
})
.end()
.transform({
position: [dataMaximums[0], 0, dataMinimums[2]],
scale: [0.001, 1, 0],
})
.repeat({
items: 2,
})
.spread({
unit: "absolute",
alignItems: "first",
items: [100, 0, 0, 0],
})
.vector({
color: colors.y,
})
.end()
.transform({
position: [dataMinimums[0], dataMaximums[1], 0],
scale: [0, 0.001, 1],
})
.repeat({
items: 2,
})
.spread({
unit: "absolute",
alignItems: "first",
items: [0, 100, 0, 0],
})
.vector({
color: colors.z,
})
.end();
view.select("#data").set("data", [
// http://archive.ics.uci.edu/ml/machine-learning-databases/iris/iris.data
[5.1, 3.5, 1.4, 0.2],
[4.9, 3.0, 1.4, 0.2],
[4.7, 3.2, 1.3, 0.2],
[4.6, 3.1, 1.5, 0.2],
[5.0, 3.6, 1.4, 0.2],
[5.4, 3.9, 1.7, 0.4],
[4.6, 3.4, 1.4, 0.3],
[5.0, 3.4, 1.5, 0.2],
[4.4, 2.9, 1.4, 0.2],
[4.9, 3.1, 1.5, 0.1],
[5.4, 3.7, 1.5, 0.2],
[4.8, 3.4, 1.6, 0.2],
[4.8, 3.0, 1.4, 0.1],
[4.3, 3.0, 1.1, 0.1],
[5.8, 4.0, 1.2, 0.2],
[5.7, 4.4, 1.5, 0.4],
[5.4, 3.9, 1.3, 0.4],
[5.1, 3.5, 1.4, 0.3],
[5.7, 3.8, 1.7, 0.3],
[5.1, 3.8, 1.5, 0.3],
[5.4, 3.4, 1.7, 0.2],
[5.1, 3.7, 1.5, 0.4],
[4.6, 3.6, 1.0, 0.2],
[5.1, 3.3, 1.7, 0.5],
[4.8, 3.4, 1.9, 0.2],
[5.0, 3.0, 1.6, 0.2],
[5.0, 3.4, 1.6, 0.4],
[5.2, 3.5, 1.5, 0.2],
[5.2, 3.4, 1.4, 0.2],
[4.7, 3.2, 1.6, 0.2],
[4.8, 3.1, 1.6, 0.2],
[5.4, 3.4, 1.5, 0.4],
[5.2, 4.1, 1.5, 0.1],
[5.5, 4.2, 1.4, 0.2],
[4.9, 3.1, 1.5, 0.1],
[5.0, 3.2, 1.2, 0.2],
[5.5, 3.5, 1.3, 0.2],
[4.9, 3.1, 1.5, 0.1],
[4.4, 3.0, 1.3, 0.2],
[5.1, 3.4, 1.5, 0.2],
[5.0, 3.5, 1.3, 0.3],
[4.5, 2.3, 1.3, 0.3],
[4.4, 3.2, 1.3, 0.2],
[5.0, 3.5, 1.6, 0.6],
[5.1, 3.8, 1.9, 0.4],
[4.8, 3.0, 1.4, 0.3],
[5.1, 3.8, 1.6, 0.2],
[4.6, 3.2, 1.4, 0.2],
[5.3, 3.7, 1.5, 0.2],
[5.0, 3.3, 1.4, 0.2],
[7.0, 3.2, 4.7, 1.4],
[6.4, 3.2, 4.5, 1.5],
[6.9, 3.1, 4.9, 1.5],
[5.5, 2.3, 4.0, 1.3],
[6.5, 2.8, 4.6, 1.5],
[5.7, 2.8, 4.5, 1.3],
[6.3, 3.3, 4.7, 1.6],
[4.9, 2.4, 3.3, 1.0],
[6.6, 2.9, 4.6, 1.3],
[5.2, 2.7, 3.9, 1.4],
[5.0, 2.0, 3.5, 1.0],
[5.9, 3.0, 4.2, 1.5],
[6.0, 2.2, 4.0, 1.0],
[6.1, 2.9, 4.7, 1.4],
[5.6, 2.9, 3.6, 1.3],
[6.7, 3.1, 4.4, 1.4],
[5.6, 3.0, 4.5, 1.5],
[5.8, 2.7, 4.1, 1.0],
[6.2, 2.2, 4.5, 1.5],
[5.6, 2.5, 3.9, 1.1],
[5.9, 3.2, 4.8, 1.8],
[6.1, 2.8, 4.0, 1.3],
[6.3, 2.5, 4.9, 1.5],
[6.1, 2.8, 4.7, 1.2],
[6.4, 2.9, 4.3, 1.3],
[6.6, 3.0, 4.4, 1.4],
[6.8, 2.8, 4.8, 1.4],
[6.7, 3.0, 5.0, 1.7],
[6.0, 2.9, 4.5, 1.5],
[5.7, 2.6, 3.5, 1.0],
[5.5, 2.4, 3.8, 1.1],
[5.5, 2.4, 3.7, 1.0],
[5.8, 2.7, 3.9, 1.2],
[6.0, 2.7, 5.1, 1.6],
[5.4, 3.0, 4.5, 1.5],
[6.0, 3.4, 4.5, 1.6],
[6.7, 3.1, 4.7, 1.5],
[6.3, 2.3, 4.4, 1.3],
[5.6, 3.0, 4.1, 1.3],
[5.5, 2.5, 4.0, 1.3],
[5.5, 2.6, 4.4, 1.2],
[6.1, 3.0, 4.6, 1.4],
[5.8, 2.6, 4.0, 1.2],
[5.0, 2.3, 3.3, 1.0],
[5.6, 2.7, 4.2, 1.3],
[5.7, 3.0, 4.2, 1.2],
[5.7, 2.9, 4.2, 1.3],
[6.2, 2.9, 4.3, 1.3],
[5.1, 2.5, 3.0, 1.1],
[5.7, 2.8, 4.1, 1.3],
[6.3, 3.3, 6.0, 2.5],
[5.8, 2.7, 5.1, 1.9],
[7.1, 3.0, 5.9, 2.1],
[6.3, 2.9, 5.6, 1.8],
[6.5, 3.0, 5.8, 2.2],
[7.6, 3.0, 6.6, 2.1],
[4.9, 2.5, 4.5, 1.7],
[7.3, 2.9, 6.3, 1.8],
[6.7, 2.5, 5.8, 1.8],
[7.2, 3.6, 6.1, 2.5],
[6.5, 3.2, 5.1, 2.0],
[6.4, 2.7, 5.3, 1.9],
[6.8, 3.0, 5.5, 2.1],
[5.7, 2.5, 5.0, 2.0],
[5.8, 2.8, 5.1, 2.4],
[6.4, 3.2, 5.3, 2.3],
[6.5, 3.0, 5.5, 1.8],
[7.7, 3.8, 6.7, 2.2],
[7.7, 2.6, 6.9, 2.3],
[6.0, 2.2, 5.0, 1.5],
[6.9, 3.2, 5.7, 2.3],
[5.6, 2.8, 4.9, 2.0],
[7.7, 2.8, 6.7, 2.0],
[6.3, 2.7, 4.9, 1.8],
[6.7, 3.3, 5.7, 2.1],
[7.2, 3.2, 6.0, 1.8],
[6.2, 2.8, 4.8, 1.8],
[6.1, 3.0, 4.9, 1.8],
[6.4, 2.8, 5.6, 2.1],
[7.2, 3.0, 5.8, 1.6],
[7.4, 2.8, 6.1, 1.9],
[7.9, 3.8, 6.4, 2.0],
[6.4, 2.8, 5.6, 2.2],
[6.3, 2.8, 5.1, 1.5],
[6.1, 2.6, 5.6, 1.4],
[7.7, 3.0, 6.1, 2.3],
[6.3, 3.4, 5.6, 2.4],
[6.4, 3.1, 5.5, 1.8],
[6.0, 3.0, 4.8, 1.8],
[6.9, 3.1, 5.4, 2.1],
[6.7, 3.1, 5.6, 2.4],
[6.9, 3.1, 5.1, 2.3],
[5.8, 2.7, 5.1, 1.9],
[6.8, 3.2, 5.9, 2.3],
[6.7, 3.3, 5.7, 2.5],
[6.7, 3.0, 5.2, 2.3],
[6.3, 2.5, 5.0, 1.9],
[6.5, 3.0, 5.2, 2.0],
[6.2, 3.4, 5.4, 2.3],
[5.9, 3.0, 5.1, 1.8],
]);
</script>
</body>
</html>
| cchudzicki/mathbox | examples/dataviz/scatter.html | HTML | mit | 10,085 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - 133.7 FM</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/TrackballControls.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<script type="application/glsl" id="map-rotate">
uniform vec3 dataResolution;
uniform vec3 dataSize;
const float COS = .995;
const float SIN = .01;
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
vec2 pos = xyz.xy * dataResolution.xy - .5;
pos = ((pos * vec2(16.0, 9.0)) * mat2(COS, SIN, -SIN, COS) * .98) / vec2(16.0, 9.0);
xyz.xy = (pos + .5) * dataSize.xy;
return getSample(xyz) - .01;
}
</script>
<script type="application/glsl" id="map-temporal-blur">
uniform float time;
uniform float modulate;
uniform float pattern;
uniform float warp;
uniform float shift;
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
// Convolve 4 last buffers
vec4 color = (
getSample(xyz) +
getSample(xyz + vec3(0.0, 0.0, 1.0)) +
getSample(xyz + vec3(0.0, 0.0, 2.0)) +
getSample(xyz + vec3(0.0, 0.0, 3.0))
) / 4.0;
// Grayscale
float v = color.x + color.y + color.z;
// Warp effect
vec2 xy = xyz.xy;
xy = xy + warp * sin(vec2(xy.y, xy.x) / 16.0) * 8.0;
// Calculate shift bias
float d = shift * sin((xy.x + xy.y) / 16.0 + time / 4.0) * 4.0;
// Radial and tiled pattern
float r = length(xy - vec2(64.0, 36.0));
float m = abs(fract((r + time) / 32.0) - .5);
// Map with warped signed distance + bias
vec2 sxy = abs(fract(vec2(xy + time) / vec2(32.0, 32.0)) - .5);
m = mix(min(sxy.x, sxy.y), m, pattern);
float s = mix(1.0, 2.0 * clamp(32.0 * m - 8.0 + d, 0.0, 1.0), modulate);
return vec4(vec3(v * v) / 8.0 * s, 1.0);
}
</script>
<script type="application/glsl" id="map-xy-to-xyz">
vec3 getSample(vec3 xyz);
vec3 getFramesSample(vec3 xyz) {
vec3 c = getSample(xyz);
vec2 uv = (xyz.xy - vec2(64.0, 36.0)) / vec2(64.0, 36.0) * vec2(16.0 / 9.0, 1.0);
float f = xyz.z * 2.0 - 1.0;
return vec3(uv, (c.x + c.y + c.z) * .1 * f);
}
</script>
<script type="application/glsl" id="map-z-to-color">
uniform float modulate1;
uniform float modulate2;
uniform float modulate3;
uniform float modulate4;
uniform float modulate5;
vec4 getSample(vec2 xy);
vec4 getFramesSample(vec2 xy) {
vec3 c = getSample(xy).xyz;
c = c.z * vec3(c.z * vec2(c.z, 1.0), 1.0);
c = mix(c, mix(c.yzx, c.zxy, modulate1), modulate2);
c = mix(c, mix(abs(sin(c.yxz * 2.0)), c.zyx, modulate3), modulate4);
c = mix(c, mix(c.yzx * c.yzx, c.zxy * c.zxy, modulate1), modulate5);
return vec4(c, 1.0);
}
</script>
<script type="application/glsl" id="map-z-to-color-2">
uniform float modulate1;
uniform float modulate2;
uniform float modulate3;
uniform float modulate4;
uniform float modulate5;
vec4 getSample(vec2 xy);
vec4 getFramesSample(vec2 xy) {
vec3 c = getSample(xy).xyz;
c = vec3(.01) + sqrt(c.z * vec3(c.z * vec2(c.z, 1.0), 1.0));
c = mix(c, mix(c.yzx, c.zxy, modulate1), modulate2);
c = mix(c, mix(abs(sin(c.yxz * 2.0)), c.zyx, modulate3), modulate4);
c = mix(c, mix(c.yzx * c.yzx, c.zxy * c.zxy, modulate1), modulate5);
return vec4(c, 1.0);
}
</script>
<body>
<div id="browser" style="display: none">
Note: Web audio support required.<br />Try Chrome or Firefox.
</div>
<div id="about"></div>
<div id="pause" class="playerbutton">
<div><div></div></div>
</div>
<div id="play" class="playerbutton">
<div><div></div></div>
</div>
<div id="loading" class="playerbutton">
<div><div></div></div>
</div>
<script>
window.onload = function () {
setTimeout(function () {
play.style.display = "block";
pause.style.display = "block";
}, 500);
var audioSupport = window.AudioContext || window.webkitAudioContext;
var safari =
navigator.userAgent.match(/Safari/) &&
!navigator.userAgent.match(/Chrome/);
if (safari || !audioSupport) {
document.querySelector("#browser").style.display = "block";
}
};
// Play/pause
var play = document.querySelector("#play");
play.onclick = function () {
loadAudio();
play.style.display = "none";
};
var pause = document.querySelector("#pause");
pause.onclick = function () {
if (audio) audio.pause();
play.style.display = "block";
};
// Song info (experimental)
var songTimer = null;
var songInfo = "http://fm.acko.net/status-json.xsl";
var infoEl = document.querySelector("#about");
var trackSongInfo = function () {
if (!songTimer) {
songTimer = setTimeout(pingSong, 20000);
pingSong();
}
};
var untrackSongInfo = function () {
if (songTimer) clearTimeout(songTimer);
songTimer = null;
infoEl.style.opacity = 0;
};
var pingSong = function () {
fetch(songInfo, "json", function (err, xhr) {
if (
xhr.response &&
xhr.response.icestats &&
xhr.response.icestats.source
) {
var song = xhr.response.icestats.source.title;
infoEl.textContent = "♫ " + song;
infoEl.style.opacity = 1;
if (songTimer) clearTimeout(songTimer);
songTimer = setTimeout(pingSong, 20000);
}
});
};
var fetch = function (url, type, callback) {
var xhr = new XMLHttpRequest();
xhr.open("GET", url, true);
xhr.responseType = type;
xhr.addEventListener("load", function () {
callback(xhr.status == 404, xhr);
});
xhr.send();
};
// Load audio
var audio;
var loadAudio = function (url) {
if (!audio) {
audio = new Audio();
var sources = [["audio/mpeg", "http://fm.acko.net/1337.mp3"]];
sources.forEach(function (source) {
if (!url && audio.canPlayType(source[0])) {
url = source[1];
}
});
audio.oncanplay = function () {
if (!audioHandler) {
makeAudioPipe(audio);
}
};
audio.oncanplaythrough = function () {
loading.style.display = "none";
audio.play();
};
if (!url) {
alert("Browser MP3 support required.");
throw "Browser MP3 support required.";
}
audio.onplaying = function () {
trackSongInfo();
};
audio.onended = function () {
play.style.display = "block";
};
loading.style.display = "block";
audio.crossOrigin = "anonymous";
audio.src = url;
} else {
audio.play();
}
};
// Audio analyzer
var audioHandler, audioCurrentTime;
var makeAudioPipe = function (element) {
window.AudioContext = window.AudioContext || window.webkitAudioContext;
var ctx = new AudioContext();
var source = ctx.createMediaElementSource(element);
var analyser = ctx.createAnalyser();
analyser.fftSize = 1024;
var scratchTime = new Float32Array(analyser.fftSize);
var bufferFreq = new Float32Array(analyser.frequencyBinCount);
var bufferTime = new Float32Array(analyser.fftSize);
three.on(
"update",
(audioHandler = function () {
analyser.getFloatFrequencyData(bufferFreq);
// Web Audio support is spotty
if (analyser.getFloatTimeDomainData) {
analyser.getFloatTimeDomainData(bufferTime);
} else {
analyser.getByteTimeDomainData(scratchTime);
for (var i = 0; i < analyser.fftSize; ++i) {
bufferTime[i] = scratchTime[i];
}
}
})
);
mathbox.select("#audioFreq").set("data", bufferFreq);
mathbox.select("#audioTime").set("data", bufferTime);
source.connect(analyser);
analyser.connect(ctx.destination);
};
const π = Math.PI;
// Mathbox
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "fullscreen", "ui"],
renderer: {
parameters: {
antialias: false,
},
},
controls: {
klass: THREE.TrackballControls,
parameters: {
noZoom: true,
},
},
size: {
maxRenderWidth: 1920,
maxRenderHeight: 1080,
},
loop: {
start: window == top.window,
},
});
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
var seed1 = Math.random();
var seed2 = Math.random();
// Mathbox DOM
mathbox
.set({
scale: 720,
})
.camera({
proxy: true,
position: [0.3, 0.1, 2],
})
.group()
.array({
id: "audioTime",
data: [],
width: 1024,
channels: 1,
})
.array({
id: "audioFreq",
data: [],
width: 512,
channels: 1,
});
mathbox
.rtt({
id: "render",
width: 64 * 4,
height: 36 * 4,
type: "unsignedByte",
minFilter: "nearest",
magFilter: "nearest",
})
.camera({
position: [0, 0, 2.5],
})
.group()
.swizzle({
source: "#audioTime",
order: "yx",
})
.spread({
width: [3.6, 0, 0, 0],
})
.shader({
code: [
"vec4 getSample(vec4 xyzw);",
"vec4 getColor(vec4 xyzw) {",
" float h = (getSample(xyzw).y);",
" return vec4(vec3(h), 1.0);",
"}",
].join("\n"),
})
.resample({})
.transform({
scale: [1, 1, 1],
})
.line({
points: "<<",
colors: "<",
width: 7,
color: 0xffffff,
opacity: 0.4,
blending: "add",
})
.end()
.end()
.cartesian(
{
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [π / 2, 1 / 4, 1 / 4],
},
{
quaternion: function (t) {
c = Math.cos(t / 3 + seed2);
s = Math.sin(t / 3 + seed2);
c2 = Math.cos(t / 8.71 + seed1);
s2 = Math.sin(t / 8.71 + seed1);
return [s * s2, s * c2, 0.2, c];
},
}
)
.grid({
divideX: 4,
divideY: 4,
zBias: 10,
opacity: 0.1,
color: 0xffdfe0,
width: 6,
})
.end()
.end()
.rtt({
id: "rtt1",
history: 4,
width: 64 * 4,
height: 36 * 4,
type: "unsignedByte",
})
.shader({
code: "#map-rotate",
})
.resample({
id: "resample1",
indices: 3,
channels: 4,
})
.compose({
color: "#ffffff",
zWrite: false,
})
.compose({
source: "#render",
blending: "add",
color: "#ffffff",
zWrite: false,
})
.end();
var modulate = 0;
var warp = 0;
var pattern = 0;
mathbox
.rtt({
id: "rtt2",
width: 64 * 4,
height: 36 * 4,
type: "float",
})
.camera({
position: [0, 0, 2.5],
})
.clock(
{},
{
seek: function (t) {
return audio ? audio.currentTime : t;
},
}
)
.shader(
{
code: "#map-temporal-blur",
},
{
time: function (t) {
return t * 16.0;
},
modulate: function (t) {
var bang = Math.max(
0,
Math.sin(t * 0.1 - 1 + seed1 + Math.sin(t * 0.0311)) * 3 - 2
);
modulate = bang * bang;
return modulate;
},
pattern: function (t) {
var bang = Math.max(
0,
Math.sin(t * 0.134 + 1 + seed2 + Math.sin(t * 0.0471)) * 0.5 +
0.5
);
pattern = bang * bang;
return pattern;
},
warp: function (t) {
var bang = Math.sin(t * 0.119 + 1 + Math.sin(t * 0.0771));
warp = bang * bang;
return warp;
},
shift: function (t) {
var bang = Math.max(
0,
Math.sin(t * 0.116 + Math.sin(t * 0.0631)) * 3 - 2
);
shift = bang * bang;
return shift;
},
}
)
.resample({
id: "resample2",
source: "#rtt1",
indices: 3,
channels: 4,
})
.compose({
color: "#fff",
zWrite: false,
})
.end()
.transform({
scale: [1, 0.35, 1],
})
.swizzle({
source: "#audioTime",
order: "yx",
})
.spread({
width: [3.444, 0, 0, 0],
})
.shader({
code: [
"vec4 getSample(vec4 xyzw);",
"vec4 getColor(vec4 xyzw) {",
" float h = getSample(xyzw).y;",
" return vec4(vec3(h) * .2, 1.0);",
"}",
].join("\n"),
})
.resample({})
.line({
points: "<<",
colors: "<",
width: 50,
color: 0xffffff,
opacity: 1,
blending: "add",
})
.end()
.end()
.resample({
width: 129,
height: 73,
})
.repeat({
depth: 2,
id: "lerp",
})
.shader({
code: "#map-xy-to-xyz",
})
.resample({
indices: 3,
channels: 3,
})
.transpose({
order: "xywz",
id: "transpose",
})
.transpose({
source: "#lerp",
order: "xywz",
id: "color",
})
.clock(
{},
{
seek: function (t) {
return audio ? audio.currentTime : t;
},
}
)
.clock(
{
id: "disco",
},
{
speed: function (t) {
var bang = Math.max(
0,
Math.sin(t * 0.081 - 1 + Math.sin(t * 0.0211)) * 5 - 4
);
return bang > 0 ? 1 : 0.2;
},
}
)
.shader(
{
code: "#map-z-to-color",
},
{
modulate1: function (t) {
return Math.cos((t + 1) * 0.417 + seed2 * 5) * 0.5 + 0.5;
},
modulate2: function (t) {
return (
Math.cos((t + 1) * 0.617 + seed1 + Math.sin(t * 0.133)) * 0.5 +
0.5
);
},
modulate3: function (t) {
return Math.cos((t + 1) * 0.217 + seed2 + 2.0) * 0.5 + 0.5;
},
modulate4: function (t) {
return (
Math.cos(
(t + 1) * 0.117 + seed2 * 3 + 3.0 + Math.sin(t * 0.133)
) *
0.5 +
0.5
);
},
modulate5: function (t) {
return (
Math.cos(
(t + 1) * 0.017 + seed1 * 5 + 2.0 + Math.sin(t * 0.033)
) *
0.5 +
0.5
);
},
}
)
.resample({
source: "#lerp",
id: "color1",
indices: 2,
channels: 4,
})
.shader(
{
code: "#map-z-to-color-2",
},
{
modulate1: function (t) {
return Math.cos((t + 1) * 0.417 + seed2 * 5) * 0.5 + 0.5;
},
modulate2: function (t) {
return (
Math.cos((t + 1) * 0.617 + seed1 + Math.sin(t * 0.133)) * 0.5 +
0.5
);
},
modulate3: function (t) {
return Math.cos((t + 1) * 0.217 + seed2 + 2.0) * 0.5 + 0.5;
},
modulate4: function (t) {
return (
Math.cos(
(t + 1) * 0.117 + seed2 * 3 + 3.0 + Math.sin(t * 0.133)
) *
0.5 +
0.5
);
},
modulate5: function (t) {
return (
Math.cos(
(t + 1) * 0.017 + seed1 * 4 + 2.0 + Math.sin(t * 0.033)
) *
0.5 +
0.5
);
},
}
)
.resample({
source: "#lerp",
id: "color2",
indices: 2,
channels: 4,
})
.end()
.polar(
{
bend: 1,
},
{
quaternion: function (t) {
t = t / 3;
c = Math.cos(t / 4 + seed1);
s = Math.sin(t / 4 + seed1);
c2 = Math.cos(t / 11.71 + seed2) * 1.71;
s2 = Math.sin(t / 11.71 + seed2) * 1.71;
return [s * s2, s * c2, -0.2, c];
},
}
)
.cartesian({
range: [
[-16 / 9 - 0.001, 16 / 9 + 0.001],
[-1, 1],
[-1, 1],
],
scale: [π, (π * 9) / 16, (π * 9) / 16],
rotation: [π / 2, 0, 0],
position: [0, 1, 0],
})
.play({
pace: 1,
loop: true,
to: 233,
script: {
100: { props: { quaternion: [0, 0, 0, 1] } },
115: {
expr: {
quaternion: function (t) {
return [
0.4 + 0.3 * Math.cos(t * 0.00117),
0.5 + 0.3 * Math.sin(t * 0.001),
0.1,
0,
];
},
},
},
145: {
expr: {
quaternion: function (t) {
return [
0.3,
0.6 * Math.sin(t * 0.00103),
0.2 * Math.sin(t * 0.00107),
-1,
];
},
},
},
160: { props: { quaternion: [0, 0, 0, -1] } },
},
})
.lerp({
source: "#transpose",
width: 33,
height: 19,
})
.lerp({
source: "#color2",
width: 33,
height: 19,
})
.transform()
.line({
points: "<<",
colors: "<",
color: "#ffffff",
width: 2,
zBias: 5,
})
.line({
points: "<<",
colors: "<",
color: "#ffffff",
width: 4,
opacity: 0.5,
zBias: 6,
zWrite: false,
})
.end()
.play({
to: 160,
loop: true,
script: {
19: { position: [0, 0, 0] },
39: { position: [0, 0, 2] },
57: { position: [0, 0, 0] },
},
})
.transpose({
source: "<<",
order: "yxzw",
})
.transpose({
source: "<<",
order: "yxzw",
})
.transform()
.line({
points: "<<",
colors: "<",
color: "#ffffff",
width: 2,
zBias: 5,
})
.line({
points: "<<",
colors: "<",
color: "#ffffff",
width: 4,
opacity: 0.5,
zBias: 6,
zWrite: false,
})
.end()
.play({
to: 160,
loop: true,
script: {
19: { position: [0, 0, 0] },
39: { position: [0, 0, -2] },
57: { position: [0, 0, 0] },
},
})
.transform()
.point({
points: "<<",
colors: "<",
color: "#ffffff",
size: 10,
zBias: 5,
zOrder: -1,
blending: "add",
zWrite: false,
})
.end()
.play({
to: 160,
loop: true,
script: {
19: { position: [0, 0, 0] },
39: { position: [0, 0, -1] },
57: { position: [0, 0, 0] },
},
})
.transform()
.point({
points: "#transpose",
colors: "#color2",
color: "#ffffff",
size: 5,
zBias: 5,
zOrder: -1,
blending: "add",
zWrite: false,
})
.end()
.play({
to: 160,
loop: true,
script: {
19: { position: [0, 0, 0] },
39: { position: [0, 0, 1] },
57: { position: [0, 0, 0] },
},
})
.vector({
points: "#transpose",
colors: "#color1",
color: "#ffffff",
start: false,
end: false,
width: 40,
opacity: 0.03,
blending: "add",
zWrite: false,
zOrder: 2,
});
</script>
<style type="text/css">
body {
font-size: 16px;
line-height: 28px;
font-weight: normal;
font-style: normal;
}
body * {
box-sizing: content-box;
}
.playerbutton {
position: absolute;
z-index: 10001;
left: 50%;
top: 50%;
margin-left: -100px;
margin-top: -100px;
width: 200px;
height: 200px;
cursor: pointer;
}
.playerbutton > div {
margin: 50px auto;
width: 100px;
height: 100px;
border-radius: 50% 50%;
background: rgb(120, 139, 149);
color: #fff;
overflow: hidden;
}
#play div div,
#loading div div {
margin: 30px 30px 0 30px;
width: 0px;
border-top: 20px solid transparent;
border-left: 40px solid #fff;
border-bottom: 20px solid transparent;
}
#pause div div {
margin: 30px 30px 0 30px;
display: block;
width: 10px;
height: 40px;
border-left: 15px solid #fff;
border-right: 15px solid #fff;
}
#pause {
opacity: 0;
-webkit-transition: opacity 0.25s ease-in-out;
transition: opacity 0.25s ease-in-out;
}
#pause:hover {
opacity: 1;
}
#loading {
display: none;
cursor: wait;
}
#loading > div {
-webkit-animation: load 1.4s infinite linear;
animation: load 1.4s infinite linear;
}
#play,
#pause {
display: none;
}
#about {
opacity: 0;
-webkit-transition: opacity 0.5s ease-in-out;
transition: opacity 0.5s ease-in-out;
position: absolute;
bottom: 10px;
left: 10px;
border-radius: 2px;
background: rgba(0, 0, 0, 0.25);
color: #fff;
padding: 5px 10px;
text-align: center;
font-size: 12px;
}
#browser {
display: none;
position: absolute;
top: 10px;
left: 50%;
-webkit-transform: translate(-50%, 0);
transform: translate(-50%, 0);
border-radius: 2px;
background: rgba(0, 0, 0, 0.25);
color: #fff;
padding: 5px 10px;
text-align: center;
font-size: 12px;
font-weight: bold;
}
@-webkit-keyframes load {
0% {
-webkit-transform: rotate(0deg);
transform: rotate(0deg);
}
100% {
-webkit-transform: rotate(360deg);
transform: rotate(360deg);
}
}
@keyframes load {
0% {
-webkit-transform: rotate(0deg);
transform: rotate(0deg);
}
100% {
-webkit-transform: rotate(360deg);
transform: rotate(360deg);
}
}
</style>
</body>
</html>
| cchudzicki/mathbox | examples/demo/audio-visualizer.html | HTML | mit | 25,455 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Cylindrical Stream</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
const π = Math.PI;
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
var three = mathbox.three;
three.camera.position.set(5.5, 0.5, -2.3);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
var objs = null;
var time = 0;
three.on("update", function () {
clock = three.Time.frames / 60;
time = clock;
t = Math.max(clock, 0) / 2;
t = t < 0.5 ? t * t : t - 0.25;
f = t / 8;
c = Math.cos(f);
s = Math.sin(f);
view.set("quaternion", [0, -s, 0, c]);
t = Math.max(clock - 4, 0) / 2;
t = t < 0.5 ? t * t : t - 0.25;
f = t / 3.71;
c = Math.cos(f);
s = Math.sin(f);
if (objs) objs.set("quaternion", [-s, 0, 0, c]);
});
var view = mathbox
.unit({
scale: 720,
focus: 4,
})
.polar({
range: [
[-π, π],
[0, 1],
[-1, 1],
],
scale: [2, 2, 2],
});
view
.transform({
position: [0, 0.5, 0],
})
.grid({
unitX: π / 6,
baseX: 2,
zWrite: false,
detailX: 81,
divideX: 6,
divideY: 10,
axes: "xz",
blending: "add",
color: 0x00f0b0,
opacity: 0.2,
});
view
.transform({
position: [0, 0.5, 0],
})
.grid({
unitX: π / 3,
baseX: 2,
zWrite: false,
detailX: 81,
divideX: 3,
divideY: 3,
axes: "xz",
blending: "add",
color: 0x00f0b0,
opacity: 0.2,
});
view
.transform({
position: [0, 1, 0],
})
.grid({
unitX: π / 3,
baseX: 2,
zWrite: false,
detailX: 81,
divideX: 3,
divideY: 3,
axes: "xz",
blending: "add",
color: 0x00f0b0,
opacity: 0.36,
});
view.interval({
centered: true,
axis: "z",
width: 512,
history: 64,
fps: 60,
expr: function (emit, x, i, t) {
j = Math.floor(i / 2);
theta = (t / 2) * (1 + Math.sin(j * j * j + j) * 0.5) * 4;
rad =
Math.sin(j * 12 + j * j) * 0.5 +
Math.sin(((j * 0.018 + 1 + Math.sin(j) * 0.3) * t) / 2);
emit(theta, rad * 0.5, x / π);
},
channels: 3,
});
view.split({
axis: "width",
length: 2,
});
view.spread({
unit: "absolute",
width: [0, 0, 0.02, 0],
depth: [0, 0, 0.01, 0],
id: "split",
});
view.transpose({
order: "xzyw",
id: "strips",
});
view
.transform({
classes: ["surface"],
position: [0, 0.75, 0],
scale: [1, 1, π],
})
.surface({
width: 1.5,
zBias: 2,
color: 0x3070ff,
points: "<",
fill: false,
lineY: true,
});
view
.transform({
classes: ["surface"],
position: [0, 0.75, 0],
scale: [1, 1, π],
})
.shader({
code: [
"uniform vec4 dataResolution;",
"vec4 getPosition(vec4 xyzw);",
"vec4 getColor(vec4 xyzw) {",
" return vec4(mix(vec3(1.0), vec3(1.0, 2.0, 1.5), mod(xyzw.z, 3.0) / 2.0) * (1.0 - vec3(xyzw.y * dataResolution.y)), 1.0);",
"}",
].join("\n"),
})
.resample()
.surface({
width: 2,
color: 0x3090ff,
points: "<<",
colors: "<",
shaded: true,
});
objs = mathbox.select("transform.surface");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/demo/cylindrical-stream.html | HTML | mit | 4,615 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Cylindrical Rotation</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
const π = Math.PI;
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
var three = mathbox.three;
three.camera.position.set(5.5, 0.5, -2.3);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
var objs = null;
var time = 0;
var scrub = 0;
three.on("update", function () {
clock = three.Time.frames / 60;
time = clock;
t = Math.max(clock, 0) / 2;
t = t < 0.5 ? t * t : t - 0.25;
scrub = t;
f = t / 8;
c = Math.cos(f);
s = Math.sin(f);
view.set("quaternion", [0, -s, 0, c]);
t = Math.max(clock - 4, 0) / 2;
t = t < 0.5 ? t * t : t - 0.25;
f = t / 3.71;
c = Math.cos(f);
s = Math.sin(f);
if (objs) objs.set("quaternion", [-s, 0, 0, c]);
});
var view = mathbox
.unit({
scale: 600,
})
.polar({
range: [
[-π, π],
[0, 1],
[-1, 1],
],
scale: [2, 2, 2],
});
view
.transform({
position: [0, 0.5, 0],
})
.grid({
unitX: π / 6,
baseX: 2,
zWrite: false,
detailX: 81,
divideX: 6,
divideY: 10,
axes: "xz",
blending: "add",
color: 0x00f0b0,
opacity: 0.2,
});
view
.transform({
position: [0, 0.5, 0],
})
.grid({
unitX: π / 3,
baseX: 2,
zWrite: false,
detailX: 81,
divideX: 3,
divideY: 3,
axes: "xz",
blending: "add",
color: 0x00f0b0,
opacity: 0.2,
});
view
.transform({
position: [0, 1, 0],
})
.grid({
unitX: π / 3,
baseX: 2,
zWrite: false,
detailX: 81,
divideX: 3,
divideY: 3,
axes: "xz",
blending: "add",
color: 0x00f0b0,
opacity: 0.36,
});
view.interval({
centered: true,
axis: "z",
width: 512,
history: 64,
expr: function (emit, x, i) {
j = Math.floor(i / 2);
theta = scrub * (1 + Math.sin(j * j * j + j) * 0.5) * 4;
rad =
Math.sin(j * 12 + j * j) * 0.5 +
Math.sin((j * 0.018 + 1 + Math.sin(j) * 0.3) * time);
emit(theta, rad * 0.5, x / π);
},
channels: 3,
});
view.split({
axis: "width",
length: 2,
});
view.spread({
unit: "absolute",
width: [0, 0, 0.03 / π, 0],
id: "split",
});
view.transpose({
order: "xzyw",
id: "strips",
});
view
.transform({
classes: ["surface"],
position: [0, 0.75, 0],
scale: [1, 1, π],
})
.surface({
width: 2,
zBias: 2,
color: 0x1550ff,
fill: false,
lineY: true,
});
view
.transform({
classes: ["surface"],
position: [0, 0.75, 0],
scale: [1, 1, π],
})
.surface({
width: 2,
color: 0x2070ff,
shaded: true,
});
objs = mathbox.select("transform.surface");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/demo/cylindrical.html | HTML | mit | 4,138 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Label Everything</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<link
rel="stylesheet"
href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.5.1/katex.min.css"
/>
<script src="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.5.1/katex.min.js"></script>
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<div style="display: none">
<select id="button" style="padding: 10 30px; font-size: inherit">
<option value="HTML">HTML</option>
</select>
</div>
<script>
var button = document.querySelector("#button");
var symbols = [
"\\alpha",
"\\theta",
"o",
"\\tau",
"\\beta",
"\\vartheta",
"\\pi",
"\\upsilon",
"\\gamma",
"\\varpi",
"\\phi",
"\\delta",
"\\kappa",
"\\rho",
"\\varphi",
"\\epsilon",
"\\lambda",
"\\varrho",
"\\chi",
"\\varepsilon",
"\\mu",
"\\sigma",
"\\psi",
"\\zeta",
"\\nu",
"\\varsigma",
"\\omega",
"\\eta",
"i",
];
// Define VDOM handler to clone real DOM elements
var clone = MathBox.DOM.createClass({
render: function (el, props, children) {
var button = children.cloneNode(true);
return button;
},
});
// Define VDOM handler to format 'latex' into an HTML span
var latex = MathBox.DOM.createClass({
render: function (el) {
this.props.innerHTML = katex.renderToString(this.children);
return el("span", this.props);
},
});
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
loop: {
start: window == window.top,
},
camera: {
near: 0.01,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(-1, 1, 2.5);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
var view = mathbox
.set({
scale: null,
})
.polar({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
bend: 0.25,
});
view
.interval({
width: 48,
expr: function (emit, x, i, t) {
y = Math.sin(x + t / 4) * 0.5 + 0.75;
emit(x, y);
},
channels: 2,
})
.line({
color: 0x30c0ff,
width: 16,
})
.resample({
width: 8,
})
.point({
color: 0x30c0ff,
size: 60,
})
.html({
width: 8,
height: 1,
expr: function (emit, el, i, j, k, l, t) {
// Emit latex
var color = ["#30D0FF", "#30A0FF"][i % 2];
var a =
Math.round(
Math.sqrt(t * t + t + 3) +
Math.abs(Math.cos(t * 0.1 + i + i * i) * 50)
) % symbols.length;
var b = Math.round(Math.sqrt(t * t + Math.sin(t + i * i) + 5));
emit(
el(
latex,
{ style: { color: color } },
"\\sqrt{L^AT_EX + " +
(i + b + 1) +
" \\pi^{" +
symbols[a] +
"}}"
)
);
},
})
.dom({
snap: false,
offset: [0, 32],
depth: 0,
zoom: 1,
outline: 2,
size: 20,
});
view
.interval({
width: 192,
expr: function (emit, x, i, t) {
y = Math.sin(x + t / 4) * 0.5 + 0.25;
emit(x, y);
},
channels: 2,
})
.group()
.shader(
{
code: [
"uniform float time;",
"vec4 getSample(vec4 xyzw);",
"vec4 getRippleSample(vec4 xyzw) {",
" vec4 pos = getSample(xyzw);",
" pos = pos + .05 * vec4(sin(pos.yxz * 3.0 + time + sin(pos.zxy * 2.9 + time * .339) * 2.0), 0.0);",
" pos = pos + .05 * vec4(sin(pos.yxz * 5.0 + time + sin(pos.zxy * 3.9 + time * .439) * 2.0), 0.0);",
" pos = pos + .05 * vec4(sin(pos.yxz * 7.0 + time + sin(pos.zxy * 4.9 + time * .539) * 2.0), 0.0);",
" return pos;",
"}",
].join("\n"),
},
{
time: function (t) {
return t;
},
}
)
.resample()
.line({
color: 0x3090ff,
width: 20,
})
.resample({
shader: null,
width: 8,
})
.point({
color: 0x3090ff,
size: 80,
shape: "down",
})
.html({
width: 8,
height: 1,
expr: function (emit, el, i, j, k, l, t) {
// Emit copies of the button
emit(el(clone, { i: i + 1, j: j + 1 }, button));
},
})
.dom({
snap: true,
offset: [0, 40],
depth: 0,
size: 24,
zoom: 1,
outline: 2,
pointerEvents: true,
})
.end();
view
.interval({
width: 48,
expr: function (emit, x, i, t) {
y = Math.sin(x + t / 4) * 0.5 - 0.25;
emit(x, y);
},
channels: 2,
})
.line({
color: 0xc04000,
width: 20,
})
.resample({
width: 8,
})
.point({
color: 0xc04000,
size: 80,
shape: "square",
})
.html({
width: 8,
expr: function (emit, el, i, j, k, l, t) {
// Emit Virtual HTML table
var color = ["#c02050", "#c07020"][i % 2];
emit(
el(
"table",
{
style: {
border: "4px dashed rgba(192, 32, 48, .5)",
color: "rgba(96, 16, 32, 1)",
background: "rgba(255, 255, 255, .75)",
},
},
[
el("tr", null, [
el(
"td",
{ style: { textAlign: "center", paddingBottom: "25px" } },
el("strong", null, "HTML")
),
]),
el("tr", null, [
el(
"td",
{ style: { textAlign: "center", fontSize: "1.25em" } },
[
el(
"span",
{ style: { color: color } },
Math.floor(t * 2 + i / 2)
),
el(
"span",
null,
String.fromCharCode(
i + 0x8000 + (Math.floor(t + i / 4) % 100)
)
),
]
),
]),
]
)
);
},
})
.dom({
snap: false,
offset: [0, 0],
depth: 0.5,
size: 36,
zoom: 1,
});
view
.interval({
width: 48,
expr: function (emit, x, i, t) {
y = Math.sin(x + t / 4) * 0.5 - 0.75;
emit(x, y);
},
channels: 2,
})
.line({
color: 0x0,
width: 20,
})
.resample({
width: 8,
})
.point({
color: 0x0,
size: 80,
shape: "diamond",
})
.text({
width: 8,
height: 5,
weight: "bold",
detail: 48,
sdf: 6,
expr: function (emit, i, j, k, t) {
// Emit GL text
var str =
Math.floor(t * 2 + i / 2) +
"GL" +
String.fromCharCode(
i + 0x8000 + (Math.floor(t + i / 8) % 100) * 3
);
emit(str);
},
})
.array({
width: 8,
expr: function (emit, i, t) {
var color = [
[192, 192, 192],
[40, 40, 40],
][i % 2];
emit(color[0] / 255, color[1] / 255, color[2] / 255, 1);
},
channels: 4,
})
.label({
snap: false,
offset: [0, -58],
depth: 0.5,
size: 42,
points: "<<",
colors: "<",
color: "#fff",
outline: 3,
zIndex: 1,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/demo/labels.html | HTML | mit | 9,538 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Piano</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
/*
{DocComment} Piano
Generates 5 black and 7 white keys of a piano keyboard, and then uses repeat
and spread to make multiple copies. There is a wavy-shader that makes the
keyboard ripple, and there is a keytilt-shader that takes the stream of points
for the keyboard and a separate stream indicating which keys are down, and
combines them to 'play' the piano.
*/
</script>
<script type="application/glsl" id="wavy-shader">
// Warps coordinates. Makes the whole keyboard wave.
uniform float time; // Additional declaration to import time.
vec4 getSample(vec4 xyz);
vec4 getFramesSample(vec4 wxyz) {
vec4 v= getSample(wxyz);
float t = v.x + time ;
// Use 'beat frequencies' between two close frequencies to make a warping
// in y and z that comes and goes.
// We are making a very small adjustment on the coordinate, v.
v = v + 0.003*vec4(
0.3*cos( 4.4 * t ),
cos( 4.3 * t )-cos( 4.2 * t ),
cos( 4.1 * t )-cos( 4.0 * t )+2.5,
0.0);
return( v );
}
</script>
<script type="application/glsl" id="keytilt-shader">
// Moves selected keys down.
// We stream data in from two sources....
vec4 getSampleA(vec4 xyzw); // External source, key movement.
vec4 getSample(vec4 xyzw); // Original source, points of all keys.
vec4 getFramesSample(vec4 xyzw) {
vec4 v = getSample(xyzw);
float a = getSampleA(xyzw).x;
//This commented out line for 'u' is an alternative that just moves the whole key down.
//vec4 u = vec4( 0.0, 0.0, a, 0.0 );
//This value for 'u' moves the front down more than the back.
//As the angle we are tilting through is small, that's good enough.
vec4 u = vec4( 0.0, 0.0, a * (v.y +0.2)* 3.5, 0.0 );
return vec4( v + u);
}
</script>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0x6060a0), 1.0);
var view = mathbox.camera({
lookAt: [0, 0, 0],
position: [0.7, 0.4, -0.2],
up: [0, 1, 0],
proxy: true,
});
// Wrap the view inside a presentation slide to control scripts
view = view
.present({
index: 1,
})
.slide({
steps: 2,
});
// Add a translucent grid
view
.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
color: 0x2020a0,
blending: "add",
zOrder: 1,
zWrite: false,
})
// Fade out on step
.step({
pace: 3,
script: [{ props: { opacity: 0.5 } }, { props: { opacity: 0 } }],
});
// Emits the four points of one face of a cuboid.
// The faces are numbered 0..5.
// The cuboid has dimensions w,h,d and is positioned at x,y,z.
function cuboid_face(emit, w, h, d, x, y, z, face) {
// faces 3,4,5 are displaced relative to their partner
// faces 1,2,3.
if (face == 3) x += w;
if (face == 4) y += h;
if (face == 5) z += d;
// It's now as if we are drawing face 0,1 or 2.
face = face % 3;
// Each face lacks one of the 3 dimensions.
// The conditionals ensure we generate 4 points, not 6.
// We are just stepping in two of the dimensions.
if (face != 0) {
x += w;
emit(x, y, z);
}
if (face != 1) {
y += h;
emit(x, y, z);
}
if (face != 2) {
z += d;
emit(x, y, z);
}
if (face != 0) {
x -= w;
emit(x, y, z);
}
if (face != 1) {
y -= h;
emit(x, y, z);
}
if (face != 2) {
z -= d;
emit(x, y, z);
}
}
// The white keys of a piano repeat after 7
// We could set nKeys to 56 here. Instead we set it low
// and then repeat on the GPU.
// This example was originally built without nRepeats, and
// then adapted to repeat on the GPU.
nKeys = 7; // White keys generated in javascript
nRepeats = 8; // Number of repeats on GPU. (usually 8, can be as high as 800)
// Fewer black keys.
nBlackKeys = Math.floor((nKeys * 5) / 7 + 0.5);
var keyDepth1 = 1.5; // Distance front edge to black key.
var keyDepth2 = 3; // Distance from start of black key to back.
var keyGap = 0.1; // Gap between keys.
var keyPlayInterval = 2; // How often we have a key that's down.
// r is the width of one white key, and is used to scale all the other
// measurements.
var r = 2 / (nKeys * nRepeats * (1 + keyGap));
// This array with an item per key can set which keys are down, individually.
// Our formula for delta is setting every 2nd key.
view.array({
width: nKeys * nRepeats,
channels: 1,
expr: function (emit, key, t) {
adjustedTime = t * (5 + (key % 7) / 10) + key;
delta = (0.25 / nRepeats) * Math.max(0, Math.sin(adjustedTime) - 0.7);
emit(key % keyPlayInterval == 0 ? -delta : 0);
},
});
// The next four nodes convert our
// (nKeys x nRepeats) array into the shape
// (4) * (12 * nKeys) * (nRepeats)
view.repeat({
items: 4 * 12, // 4 points per face, 12 faces per key.
});
// The splits and joins don't affect the number of points.
view.split({
axis: "width",
length: nKeys,
});
view.split({
axis: "items",
length: 4,
});
view.join({
id: "whitekeydown",
axis: "width",
});
// The white keys.
view.array({
// 12 faces per white key.
// (Because we draw each white key as two cuboids).
// We are drawing one more face than we need to for each white key.
// It is worth it for the convenience of simpler building blocks.
id: "whitekeys",
width: 12 * nKeys,
items: 4, // Four points per face
channels: 3, // Three dimensions per point
expr: function (emit, i, t) {
var key = Math.floor(i / 12); // Key number 0..nKeys-1 in this repetition
var cuboid = Math.floor(i / 6); // Cuboid number 0..2*nKeys-1 in this repetition
var face = i % 6; // Face number 0..5 for this cuboid.
// Keys start on the left
var xDisplace = -1 / (r * nRepeats);
// Keys are 1 unit apart, plus a gap
xDisplace += key * (1 + keyGap);
// Settings for even numbered cuboids, the front of the keys.
var yDisplace = 0;
var keyWidth = 1.0;
var keyDepth = keyDepth1;
// Odd numbered cuboids have black keys and are longer, further back,
// displaced and narrower than the cuboid at the 'front' of the key.
if (cuboid % 2 == 1) {
keyDepth = keyDepth2; // longer
yDisplace = keyDepth1; // further back
// All but 0 and 4 are displaced half a black key width to the right.
if (key % 4 != 0) xDisplace += 0.25 + keyGap / 2;
// 0,3,4 and 6 are slightly wider than 1,2 and 5.
if (key == 0 || key == 3 || key == 4 || key == 6)
keyWidth = 0.75 - keyGap / 2;
else {
keyWidth = 0.5 - keyGap;
}
}
// r is the unit of size.
cuboid_face(
emit,
-r * keyWidth,
-r * keyDepth,
r / 4,
-r * xDisplace,
-r * yDisplace,
r / 4,
face
);
},
});
// 'repeat' replicates in one of the dimensions.
// We were only using the width and items dimensions, so this
// repeat on 'height' adds a new dimension to our array of points.
view.repeat({
height: nRepeats,
});
// 'spread' transfers information from our array dimensions into
// the vec4's actually in the array.
// We're spreading based on the newly added dimension.
// That's quite a common pattern.
var whitekeys = view.spread({
unit: "absolute",
height: [-2 / nRepeats, 0, 0, 0], // Affect only the 'x' of the vec4s.
});
// This shader is merging two streams of information.
// The whitekeydown source has one float item per key.
// It's being merged with 48x vec4 for each key that give the faces.
// This only defines the shader.
view.shader({
sources: ["#whitekeydown"], // extra sources, in addition to whitekeys.
code: "#keytilt-shader",
});
// This actually invokes the shader.
// The shader is implicitly bound.
// Leave this out, and the keys won't play.
view.resample({
width: 12 * nKeys,
height: nRepeats,
});
// These two steps warp the keyboard.
view.shader(
{
code: "#wavy-shader",
},
// The second argument to shader (or indeed any node) says what properties
// are recalculated every tick. Exception: <expr> is re-evaluated every tick,
// by default, even though in the first argument.
{
time: function (t) {
return t;
},
}
);
view.resample({
width: 12 * nKeys,
height: nRepeats,
});
// The earlier emits put values in to x,y,z, but the way we are viewing this,
// our 'y' goes into the page and our z goes up. We wouldn't need this
// swizzle if we'd emitted xyz in a different order.
view.swizzle({
order: "yzxw",
});
// Explode the geometry on step
view
.spread({
unit: "relative",
})
.step({
pace: 3,
script: [
{ props: { width: [0, 0, 0], height: [0, 0, 0] } },
{ props: { width: [0, 1, 0], height: [0, 0, -1] } },
],
});
// Draw the white keys.
// Take groups of four items, from the full width x height array of points,
// and treat those groups as faces (rectangles).
view.face({
color: 0xffffff,
shaded: true,
});
// The black keys
view.array({
width: 6 * nBlackKeys,
expr: function (emit, i, t) {
var face = i % 6; // Face number 0..5 within cuboid
var key = Math.floor(i / 6); // Key number 0..nBlackKeys-1
var yDisplace = keyDepth1 + keyGap;
var keyWidth = 0.5; // Half the width of a white key
var keyDepth = keyDepth2;
var xDisplace = -1 / (r * nRepeats); // start on the left
// The 7/5 indicates 5 black keys need to be spread out to the space that
// 7 white keys take. The first black key starts 0.75 of a key over, plus
// half a key gap.
xDisplace +=
Math.floor((key * 7) / 5) * (1 + keyGap) + 0.75 + keyGap / 2;
cuboid_face(
emit,
-r * keyWidth,
-r * keyDepth,
r / 2,
-r * xDisplace,
-r * yDisplace,
r / 4,
face
);
},
items: 4, // 4 points per face.
channels: 3, // xyz values for each point.
});
view.repeat({
height: nRepeats,
});
view.spread({
unit: "absolute",
height: [-2 / nRepeats, 0, 0, 0],
});
view.shader(
{
code: "#wavy-shader",
},
{
time: function (t) {
return t;
},
}
);
view.resample({
width: 6 * nBlackKeys,
height: nRepeats,
});
view.swizzle({
order: "yzxw",
});
// Explode the geometry on step
view
.spread({
unit: "relative",
})
.step({
pace: 3,
script: [
{ props: { width: [0, 0, 0], height: [0, 0, 0] } },
{ props: { width: [0, 1, 0], height: [1, 0, 0] } },
],
});
// Draw the black keys.
view.face({
color: 0x000000,
shaded: true,
});
// Control presentation with button, swap between slide 1 and 2.
var present = mathbox.select("present");
var toggle = false;
var explode = function () {
toggle = !toggle;
present.set("index", 1 + toggle);
};
</script>
<button
style="
position: absolute;
bottom: 15px;
left: 50%;
margin-left: -60px;
width: 120px;
font-size: 20px;
"
onclick="explode()"
>
Explode
</button>
</body>
</html>
| cchudzicki/mathbox | examples/demo/piano.html | HTML | mit | 13,626 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Shapes</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
parameters: {
enableZoom: false,
},
},
camera: {
fov: 20,
},
loop: {
start: window == window.top,
},
});
three = mathbox.three;
three.camera.position.set(2, 2, 4);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.set({ scale: 500, focus: 5 }).cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [3.5, 1, 1],
});
view.voxel({
data: [
-1, -1, -0.5, -0.75, -0.75, -1.2, -0.4, -0.6, -1.5, 0, 0, 0, -1, 1,
-0.5, -0.75, 0.75, -1.2, -0.4, 0.6, -1.5, 0, 0, 0, 1, 1, -0.5, 0.75,
0.75, -1.2, 0.4, 0.6, -1.5, 0, 0, 0, 1, -1, -0.5, 0.75, -0.75, -1.2,
0.4, -0.6, -1.5, 0, 0, 0,
-1, -1, 0.5, -0.75, -0.75, 1.2, -0.4, -0.6, 1.5, 0, 0, 0, -1, 1, 0.5,
-0.75, 0.75, 1.2, -0.4, 0.6, 1.5, 0, 0, 0, 1, 1, 0.5, 0.75, 0.75, 1.2,
0.4, 0.6, 1.5, 0, 0, 0, 1, -1, 0.5, 0.75, -0.75, 1.2, 0.4, -0.6, 1.5,
0, 0, 0,
],
width: 4,
height: 2,
depth: 1,
items: 4,
channels: 3,
});
view
.transform({
pass: "eye",
position: [-0.8, 0.4, -4],
scale: [1 / 6, 1 / 6, 1 / 6],
})
.point({
color: 0x3090ff,
size: 3,
})
.array({
data: [0, 0, 0],
channels: 3,
})
.text({
data: ["Point"],
})
.label({
offset: [0, -140],
zIndex: 1,
color: "black",
});
view
.transform({
pass: "eye",
position: [0, 0.4, -4],
scale: [1 / 6, 1 / 6, 1 / 6],
})
.line({
color: 0x3090ff,
size: 3,
})
.array({
data: [0, 0, 0],
channels: 3,
})
.text({
data: ["Line"],
})
.label({
offset: [0, -140],
zIndex: 1,
color: "black",
});
view
.transform({
pass: "eye",
position: [0.8, 0.4, -4],
scale: [1 / 6, 1 / 6, 1 / 6],
})
.surface({
color: 0x3090ff,
shaded: true,
width: 3,
})
.surface({
color: 0x3090ff,
fill: false,
lineX: true,
lineY: true,
width: 3,
})
.array({
data: [0, 0, 0],
channels: 3,
})
.text({
data: ["Surface"],
})
.label({
offset: [0, -140],
zIndex: 1,
color: "black",
});
view
.transform({
pass: "eye",
position: [-0.8, -0.4, -4],
scale: [1 / 6, 1 / 6, 1 / 6],
})
.vector({
color: 0x3090ff,
width: 3,
start: true,
})
.array({
data: [0, 0, 0],
channels: 3,
})
.text({
data: ["Vector"],
})
.label({
offset: [0, -140],
zIndex: 1,
color: "black",
});
view
.transform({
pass: "eye",
position: [0, -0.4, -4],
scale: [1 / 6, 1 / 6, 1 / 6],
})
.strip({
color: 0x0090ff,
width: 3,
shaded: true,
})
.strip({
color: 0x3090ff,
width: 3,
fill: false,
line: true,
})
.array({
data: [0, 0, 0],
channels: 3,
})
.text({
data: ["Strip"],
})
.label({
offset: [0, -140],
zIndex: 1,
color: "black",
});
view
.transform({
pass: "eye",
position: [0.8, -0.4, -4],
scale: [1 / 6, 1 / 6, 1 / 6],
})
.face({
color: 0x3090ff,
width: 3,
line: false,
shaded: true,
})
.face({
color: 0x3090ff,
width: 3,
fill: false,
line: true,
})
.array({
data: [0, 0, 0],
channels: 3,
})
.text({
data: ["Face"],
})
.label({
offset: [0, -140],
zIndex: 1,
color: "black",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/demo/shapes.html | HTML | mit | 5,220 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Empty</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>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/TrackballControls.js"
></script>
<script src="../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "mathbox"],
controls: {
// Orbit controls, i.e. Euler angles, with gimbal lock
klass: THREE.OrbitControls,
// Trackball controls, i.e. Free quaternion rotation
//klass: THREE.TrackballControls,
},
});
if (mathbox.fallback) throw "WebGL not supported";
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Do stuff with mathbox,
// for example: (see docs/intro.md)
/*
// Place camera
var camera =
mathbox
.camera({
proxy: true,
position: [0, 0, 3],
});
// 2D cartesian
var view =
mathbox
.cartesian({
range: [[-2, 2], [-1, 1]],
scale: [2, 1],
});
// Axes + grid
view
.axis({
axis: 1,
width: 3,
})
.axis({
axis: 2,
width: 3,
})
.grid({
width: 2,
divideX: 20,
divideY: 10,
});
// Make axes black
mathbox.select('axis').set('color', 'black');
// Calibrate focus distance for units
mathbox.set('focus', 3);
// Add some data
var data =
view
.interval({
expr: function (emit, x, i, t) {
emit(x, Math.sin(x + t));
},
width: 64,
channels: 2,
});
// Draw a curve
var curve =
view
.line({
width: 5,
color: '#3090FF',
});
// Draw some points
var points =
view
.point({
size: 8,
color: '#3090FF',
});
// Draw vectors
var vector =
view.interval({
expr: function (emit, x, i, t) {
emit(x, 0);
emit(x, -Math.sin(x + t));
},
width: 64,
channels: 2,
items: 2,
})
.vector({
end: true,
width: 5,
color: '#50A000',
});
// Draw ticks and labels
var scale =
view.scale({
divide: 10,
});
var ticks =
view.ticks({
width: 5,
size: 15,
color: 'black',
});
var format =
view.format({
digits: 2,
weight: 'bold',
});
var labels =
view.label({
color: 'red',
zIndex: 1,
});
// Animate
var play = mathbox.play({
target: 'cartesian',
pace: 5,
to: 2,
loop: true,
script: [
{props: {range: [[-2, 2], [-1, 1]]}},
{props: {range: [[-4, 4], [-2, 2]]}},
{props: {range: [[-2, 2], [-1, 1]]}},
]
});
//*/
</script>
</body>
</html>
| cchudzicki/mathbox | examples/empty.html | HTML | mit | 3,457 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Color Cube</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
// Color Cube by Max Goldstein, CC-BY
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {},
});
three = mathbox.three;
three.controls.maxDistance = 4;
three.camera.position.set(2.5, 1, 2.5);
three.renderer.setClearColor(new THREE.Color(0xeeeeee), 1.0);
view = mathbox
.set({
scale: 720,
focus: 1,
})
.cartesian({
range: [
[0, 1],
[0, 1],
[0, 1],
],
scale: [1, 1, 1],
});
var rez = 10;
view.volume({
id: "volume",
width: rez,
height: rez,
depth: rez,
items: 1,
channels: 4,
live: false,
expr: function (emit, x, y, z) {
emit(x, y, z, 1);
},
});
view.point({
// The neat trick: use the same data for position and for color!
// We don't actually need to specify the points source since we just defined them
// but it emphasizes what's going on.
// The w component 1 is ignored as a position but used as opacity as a color.
points: "#volume",
colors: "#volume",
// Multiply every color component in [0..1] by 255
color: 0xffffff,
size: 20,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/colorcube.html | HTML | mit | 2,040 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Stereographic Hopf Fibration</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
time = 0;
angle = 0;
deform = 0;
skew = 0;
fa = 6;
fb = 4;
three.on("update", function () {
time = three.Time.clock * 0.6;
angle = wobbler(time / 5) * 0.6 + MathBox.π / 4 + 0.2;
skew = wobbler(time / 16.1) * 0.25;
deform = wobbler(time / 7.1);
if (deform == 0) {
fa = (Math.ceil(Math.random() * 2) + 1) * 2;
fb = (Math.ceil(Math.random() * 2) + 1) * 2;
}
deform *= cosineEase(time - 2);
});
clamp = function (x, a, b) {
return Math.max(a, Math.min(b, x));
};
cosineEase = function (t) {
return 0.5 - 0.5 * Math.cos(clamp(t, 0, 1) * MathBox.π);
};
wobbler = function (t) {
t = Math.sin(
(Math.min(1, Math.max(-1, 0.7 * Math.asin(Math.cos(MathBox.π * t)))) *
MathBox.τ) /
4
);
return t * 0.5 - 0.5;
};
hopf = function (emit, ϕ, θ, γ) {
η =
θ / 2 +
(Math.cos(ϕ * 2 + time) * skew + Math.cos(ϕ * fa)) * 0.15 * deform;
ξ1 = ϕ + Math.cos(γ * fb + time) * 0.25 * deform;
ξ2 = γ;
sum = ξ1 + ξ2;
diff = ξ1 - ξ2;
s = Math.sin(η);
c = Math.cos(η);
x = Math.cos(sum) * s;
y = Math.sin(sum) * s;
z = Math.cos(diff) * c;
w = Math.sin(diff) * c;
emit(z, y, w, x);
};
view = mathbox
.unit({
scale: 500,
})
.stereographic4({
range: [
[-4, 4],
[-4, 4],
[-4, 4],
[-1, 1],
],
scale: [4, 4, 4, 1],
});
view.area({
rangeX: [-MathBox.π, MathBox.π],
rangeY: [-MathBox.π / 2, MathBox.π / 2],
width: 127,
height: 16,
centeredX: false,
centeredY: true,
expr: function (emit, x, y, i, j) {
ϕ = y;
θ = angle;
hopf(emit, ϕ, θ, x);
},
channels: 4,
});
view.line({
color: 0x3080ff,
zBias: 10,
width: 3,
});
view.area({
rangeX: [-MathBox.π, MathBox.π],
rangeY: [-0.6, 0.6],
width: 127,
height: 63,
expr: function (emit, x, y, i, j) {
ϕ = y + time;
θ = angle;
hopf(emit, ϕ, θ, x);
},
channels: 4,
});
view.surface({
shaded: true,
color: 0x3080ff,
zBias: -5,
});
view.area({
rangeX: [-MathBox.π, MathBox.π],
rangeY: [-MathBox.π / 2, MathBox.π / 2],
width: 127,
height: 63,
expr: function (emit, x, y, i, j) {
ϕ = y;
θ = angle;
hopf(emit, ϕ, θ, x);
},
channels: 4,
});
view.surface({
shaded: true,
color: 0xffffff,
opacity: 0.5,
zBias: -10,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/hopf.html | HTML | mit | 3,941 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Ortho</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>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/TrackballControls.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<!--
Recreation of https://twitter.com/beesandbombs/status/654702843723563009
-->
<script type="application/glsl" id="rotateX">
uniform float seek;
float ease(float t) {
t = clamp(t, 0.0, 1.0);
return (3.0 - 2.0 * t) * t * t;
}
vec4 rotateX(vec4 xyzw, inout vec4 stpq) {
float theta = ease(xyzw.x * .25 + seek) * 1.570796;
float s = sin(theta);
float c = cos(theta);
mat2 m2 = mat2(c, s, -s, c);
return vec4(xyzw.x, m2 * xyzw.yz, xyzw.w);
}
</script>
<script type="application/glsl" id="rotateY">
uniform float seek;
float ease(float t) {
t = clamp(t, 0.0, 1.0);
return (3.0 - 2.0 * t) * t * t;
}
vec4 rotateY(vec4 xyzw, inout vec4 stpq) {
float theta = ease(xyzw.y * .25 + seek) * 1.570796;
float s = sin(theta);
float c = cos(theta);
mat2 m2 = mat2(c, s, -s, c);
vec2 zx = m2 * xyzw.zx;
return vec4(zx.t, xyzw.y, zx.s, xyzw.w);
}
</script>
<script type="application/glsl" id="rotateZ">
uniform float seek;
float ease(float t) {
t = clamp(t, 0.0, 1.0);
return (3.0 - 2.0 * t) * t * t;
}
vec4 rotateZ(vec4 xyzw, inout vec4 stpq) {
float theta = ease(xyzw.z * .25 + seek) * 1.570796;
float s = sin(theta);
float c = cos(theta);
mat2 m2 = mat2(c, s, -s, c);
return vec4((m2 * xyzw.yx).yx, xyzw.zw);
}
</script>
<script>
var ortho = 10000;
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "mathbox"],
controls: {
// Orbit controls, i.e. Euler angles, with gimbal lock
klass: THREE.OrbitControls,
// Trackball controls, i.e. Free quaternion rotation
//klass: THREE.TrackballControls,
},
camera: {
fov: (Math.atan(1 / ortho) * 360) / MathBox.π,
near: ortho / 4,
far: ortho * 4,
},
});
if (mathbox.fallback) throw "WebGL not supported";
var pink = new THREE.Color(187 / 255, 110 / 255, 185 / 255);
var three = mathbox.three;
three.renderer.setClearColor(pink, 1.0);
// Place camera
var camera = mathbox
.set({
focus: ortho,
scale: 720,
})
.camera({
proxy: true,
position: [ortho, ortho, ortho],
});
// Sample volume
var volume = mathbox.volume({
width: 17,
height: 17,
depth: 17,
});
var xf = mathbox;
// Rotate Z axis
xf = xf
.shader({
code: "#rotateZ",
})
.play({
to: 3,
pace: 2,
delay: 4,
loop: true,
ease: "linear",
script: {
0: { props: { seek: -0.5 } },
1: { props: { seek: 1.5 } },
1.00001: { props: { seek: -0.5 } },
},
})
.vertex();
// Rotate Y axis
xf = xf
.shader({
code: "#rotateY",
})
.play({
to: 3,
delay: 2,
pace: 2,
loop: true,
ease: "linear",
script: {
0: { props: { seek: -0.5 } },
1: { props: { seek: 1.5 } },
1.00001: { props: { seek: -0.5 } },
},
})
.vertex();
// Rotate X axis
xf = xf
.shader({
code: "#rotateX",
})
.play({
to: 3,
delay: 0,
pace: 2,
loop: true,
ease: "linear",
script: {
0: { props: { seek: -0.5 } },
1: { props: { seek: 1.5 } },
1.00001: { props: { seek: -0.5 } },
},
})
.vertex();
// Render lines
xf.group()
.resample({ shader: null, height: 9, depth: 9 })
.line({ color: "#fff", width: 4 });
xf.group()
.transpose({ order: "yzxw" })
.resample({ shader: null, height: 9, depth: 9 })
.line({ color: "#fff", width: 4 });
xf.group()
.transpose({ order: "zxyw" })
.resample({ shader: null, height: 9, depth: 9 })
.line({ color: "#fff", width: 4 });
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/ortho.html | HTML | mit | 5,090 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Procedural Vectors</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(3.5, 1.4, -2.3);
three.renderer.setClearColor(new THREE.Color(0x204060), 1.0);
time = 0;
three.on("update", function () {
clock = three.Time.clock;
time = clock / 4;
t = Math.max(clock - 1, 0) / 12;
t = t < 0.5 ? t * t : t - 0.25;
o = 0.5 - 0.5 * Math.cos(Math.min(1, t) * MathBox.π);
c = Math.cos(t);
s = Math.sin(t);
view.set("quaternion", [0, -s, 0, c]);
surface.set("opacity", 1 - o * 0.25);
f = 1 + o;
view.set("range", [
[-3 * f, 3 * f],
[0, 6],
[-3 * f, 3 * f],
]);
view.set("scale", [2 * f, 2, 2 * f]);
});
view = mathbox
.unit({
scale: 720,
})
.cartesian({
range: [
[-3, 3],
[0, 6],
[-3, 3],
],
scale: [2, 2, 2],
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
view.area({
width: 36,
height: 36,
items: 2,
axes: [1, 3],
expr: function (emit, x, y, i, j) {
a = Math.sin(i * 31.718 - time) * Math.sin(j * 21.131 + time);
b =
Math.sin(i * 27.41 + time) *
Math.sin(j * 11.91 + 5 * Math.cos(i * 4.1) + time);
emit(x, 3 * (1 + a), y);
emit(x, 3 * (1 + a + b * 0.25), y);
},
channels: 3,
});
view.vector({
color: 0xa0d0ff,
width: 5,
start: false,
end: true,
});
view.area({
id: "sampler",
width: 83,
height: 83,
axes: [1, 3],
expr: function (emit, x, y, i, j) {
emit(
x,
3 * (0.5 + 0.5 * (Math.sin(x + time) * Math.sin(y + time))),
y
);
},
channels: 3,
});
view.surface({
lineX: true,
lineY: true,
shaded: true,
color: 0x5090ff,
width: 5,
});
surface = mathbox.select("surface");
vector = mathbox.select("vector");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/procedural.html | HTML | mit | 2,977 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Stereographic Quaternion Hypersphere</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script type="application/glsl" id="rotate4D">
uniform float cos1;
uniform float sin1;
uniform float cos2;
uniform float sin2;
uniform float cos3;
uniform float sin3;
uniform float cos4;
uniform float sin4;
vec4 getRotate4D(vec4 xyzw, inout vec4 stpq) {
xyzw.xy = xyzw.xy * mat2(cos1, sin1, -sin1, cos1);
xyzw.zw = xyzw.zw * mat2(cos2, sin2, -sin2, cos2);
xyzw.xz = xyzw.xz * mat2(cos3, sin3, -sin3, cos3);
xyzw.yw = xyzw.yw * mat2(cos4, sin4, -sin4, cos4);
return xyzw;
}
</script>
<script>
var π = Math.PI;
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
mathbox.three.camera.position.set(0, 0, 3);
mathbox.three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
var red = 0xdf2000;
var green = 0x20a000;
var blue = 0x3090ff;
view = mathbox
.set({
scale: 500,
})
.clock({
speed: 0.25,
})
.stereographic4()
.shader(
{
code: "#rotate4D",
},
{
cos1: function (t) {
return Math.cos(t * 0.111);
},
sin1: function (t) {
return Math.sin(t * 0.111);
},
cos2: function (t) {
return Math.cos(t * 0.151 + 1);
},
sin2: function (t) {
return Math.sin(t * 0.151 + 1);
},
cos3: function (t) {
return Math.cos(t * 0.071 + Math.sin(t * 0.081));
},
sin3: function (t) {
return Math.sin(t * 0.071 + Math.sin(t * 0.081));
},
cos4: function (t) {
return Math.cos(t * 0.053 + Math.sin(t * 0.066) + 1);
},
sin4: function (t) {
return Math.sin(t * 0.053 + Math.sin(t * 0.066) + 1);
},
}
)
.vertex();
var q1 = new THREE.Quaternion();
var q2 = new THREE.Quaternion();
view.area({
rangeX: [-π / 2, π / 2],
rangeY: [0, 2 * π],
width: 129,
height: 65,
expr: function (emit, θ, ϕ, i, j) {
q1.set(0, 0, Math.sin(θ), Math.cos(θ));
q2.set(0, Math.sin(ϕ), 0, Math.cos(ϕ));
q1.multiply(q2);
emit(q1.x, q1.y, q1.z, q1.w);
},
live: false,
channels: 4,
});
view.line({
color: blue,
});
// ===========================================================================
view.area({
rangeX: [-π / 2, π / 2],
rangeY: [0, 2 * π],
width: 129,
height: 65,
expr: function (emit, θ, ϕ, i, j) {
q1.set(0, Math.sin(θ), 0, Math.cos(θ));
q2.set(Math.sin(ϕ), 0, 0, Math.cos(ϕ));
q1.multiply(q2);
emit(q1.x, q1.y, q1.z, q1.w);
},
live: false,
channels: 4,
});
view.line({
color: green,
});
// ===========================================================================
view.area({
rangeX: [-π / 2, π / 2],
rangeY: [0, 2 * π],
width: 129,
height: 65,
expr: function (emit, θ, ϕ, i, j) {
q1.set(Math.sin(θ), 0, 0, Math.cos(θ));
q2.set(0, 0, Math.sin(ϕ), Math.cos(ϕ));
q1.multiply(q2);
emit(q1.x, q1.y, q1.z, q1.w);
},
live: false,
channels: 4,
});
view.line({
color: red,
});
// ===========================================================================
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/quat.html | HTML | mit | 4,443 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Tiling</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>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/TrackballControls.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "mathbox"],
controls: {
// Orbit controls, i.e. Euler angles, with gimbal lock
klass: THREE.OrbitControls,
// Trackball controls, i.e. Free quaternion rotation
//klass: THREE.TrackballControls,
},
});
if (mathbox.fallback) throw "WebGL not supported";
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Place camera
var camera = mathbox.camera({
proxy: true,
position: [5, 9, 30],
});
// Approximate recreation of
// https://twitter.com/shonk/status/645737325339652096
// Colors
var colors = [
[130 / 255, 208 / 255, 128 / 255],
[95 / 255, 197 / 255, 137 / 255],
[45 / 255, 164 / 255, 147 / 255],
[10 / 255, 111 / 255, 147 / 255],
[28 / 255, 143 / 255, 151 / 255],
[71 / 255, 183 / 255, 144 / 255],
];
// Offsets
var offsets = [
[
[2, 1.731],
[0.5, 0],
],
[
[3, 2.599],
[0.5, 0],
],
[
[2.25, 1.731],
[0.666, -0.25],
],
];
// Tile face
var tiles = [
[
[0, 0],
[1, 0],
[1, 0],
[1, 0.577],
[0.5, 0.866],
],
[
[0, 0],
[1, 0],
[2, 0],
[1.5, 0.866],
[0.5, 0.866],
],
[
[0, 0],
[1, 0],
[1.25, 0.433],
[1, 0.866],
[0.5, 0.866],
],
];
// Face
mathbox
.array({
channels: 2,
items: 5,
})
.play({
pace: 5,
loop: true,
to: 3,
script: [
{ props: { data: [tiles[0]] } },
{ props: { data: [tiles[1]] } },
{ props: { data: [tiles[2]] } },
{ props: { data: [tiles[0]] } },
],
})
.repeat({
width: 30,
height: 30,
})
.shader({
code: [
"uniform vec2 tileStep;",
"uniform vec2 tileShift;",
"const vec2 dataScale = vec2(29.0, 29.0);",
"vec4 getPosition(vec4 xyzw, inout vec4 stpq) {",
" vec2 ij = (stpq.st - .5) * dataScale;",
" vec2 offset = vec2(ij.x + tileShift.x * ij.y,",
" ij.y + tileShift.y * ij.x) * tileStep;",
" return xyzw + vec4(offset, (ij.x + ij.y) * 0.01, 0.0);",
"}",
].join("\n"),
})
.play({
pace: 5,
loop: true,
to: 3,
script: [
{ props: { tileStep: offsets[0][0], tileShift: offsets[0][1] } },
{ props: { tileStep: offsets[1][0], tileShift: offsets[1][1] } },
{ props: { tileStep: offsets[2][0], tileShift: offsets[2][1] } },
{ props: { tileStep: offsets[0][0], tileShift: offsets[0][1] } },
],
})
.vertex()
.transform({
rotation: [0, 0, (0 * MathBox.τ) / 6],
})
.face({
color: colors[0],
})
.end()
.transform({
rotation: [0, 0, (1 * MathBox.τ) / 6],
})
.face({
color: colors[1],
})
.end()
.transform({
rotation: [0, 0, (2 * MathBox.τ) / 6],
})
.face({
color: colors[2],
})
.end()
.transform({
rotation: [0, 0, (3 * MathBox.τ) / 6],
})
.face({
color: colors[3],
})
.end()
.transform({
rotation: [0, 0, (4 * MathBox.τ) / 6],
})
.face({
color: colors[4],
})
.end()
.transform({
rotation: [0, 0, (5 * MathBox.τ) / 6],
})
.face({
color: colors[5],
})
.end()
.end();
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/tiling.html | HTML | mit | 4,880 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT Feedback History</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script type="application/glsl" id="rtt-water">
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
vec4 c = getSample(xyz + vec3( 0.0, 0.0, 1.0));
vec3 t = getSample(xyz + vec3( 0.0, 1.0, 0.0)).xyz;
vec3 b = getSample(xyz + vec3( 0.0,-1.0, 0.0)).xyz;
vec3 l = getSample(xyz + vec3(-1.0, 0.0, 0.0)).xyz;
vec3 r = getSample(xyz + vec3( 1.0, 0.0, 0.0)).xyz;
return vec4((t + b + l + r) / 2.0 - c.xyz, c.w);
}
</script>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0.3, 1, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
time = 0;
origin = new THREE.Vector3();
three.on("update", function (event) {
time = three.Time.clock;
x = Math.cos(time) * 3;
z = Math.sin(time) * 3;
c = rtt[0].controller.rtt.camera;
c.position.set(x, 0, z);
c.lookAt(origin);
c = three.camera;
c.position.set(x, 1, z);
c.lookAt(origin);
});
mathbox
.unit({
scale: 720,
})
.rtt({
history: 2,
type: "unsignedByte",
})
.shader({
code: "#rtt-water",
})
.resample({
indices: 3,
channels: 4,
})
.compose({
color: "#ffffff",
zWrite: false,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
})
.grid({
divideX: 2,
divideY: 2,
zBias: 10,
opacity: 0.25,
color: 0xc0e0ff,
width: 5,
})
.end()
.end()
.compose({
color: "#fff",
zWrite: false,
});
rtt = mathbox.select("rtt");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/math/water.html | HTML | mit | 2,667 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Solar System</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
// Unix timestamp in seconds to (floating point) day number
var zulu = +new Date("1999-12-31T00:00Z") / 1000;
var dayNumber = function (t) {
return (t - zulu) / (60 * 60 * 24);
};
// Orbital elements
// Source: http://www.stjarnhimlen.se/comp/ppcomp.html
var orbits = {
Sun: function (d) {
return {
N: 0,
i: 0,
w: 0,
a: 0,
e: 0,
M: 0,
};
},
Mercury: function (d) {
return {
N: 48.3313 + 3.24587e-5 * d,
i: 7.0047 + 5.0e-8 * d,
w: 29.1241 + 1.01444e-5 * d,
a: 0.387098,
e: 0.205635 + 5.59e-10 * d,
M: 168.6562 + 4.0923344368 * d,
};
},
Venus: function (d) {
return {
N: 76.6799 + 2.4659e-5 * d,
i: 3.3946 + 2.75e-8 * d,
w: 54.891 + 1.38374e-5 * d,
a: 0.72333,
e: 0.006773 - 1.302e-9 * d,
M: 48.0052 + 1.6021302244 * d,
};
},
Earth: function (d) {
return {
N: 0.0,
i: 0.0,
w: 282.9404 + 4.70935e-5 * d,
a: 1.0,
e: 0.016709 - 1.151e-9 * d,
M: 356.047 + 0.9856002585 * d,
};
},
Mars: function (d) {
return {
N: 49.5574 + 2.11081e-5 * d,
i: 1.8497 - 1.78e-8 * d,
w: 286.5016 + 2.92961e-5 * d,
a: 1.523688,
e: 0.093405 + 2.516e-9 * d,
M: 18.6021 + 0.5240207766 * d,
};
},
Jupiter: function (d) {
return {
N: 100.4542 + 2.76854e-5 * d,
i: 1.303 - 1.557e-7 * d,
w: 273.8777 + 1.64505e-5 * d,
a: 5.20256,
e: 0.048498 + 4.469e-9 * d,
M: 19.895 + 0.0830853001 * d,
};
},
Saturn: function (d) {
return {
N: 113.6634 + 2.3898e-5 * d,
i: 2.4886 - 1.081e-7 * d,
w: 339.3939 + 2.97661e-5 * d,
a: 9.55475,
e: 0.055546 - 9.499e-9 * d,
M: 316.967 + 0.0334442282 * d,
};
},
Uranus: function (d) {
return {
N: 74.0005 + 1.3978e-5 * d,
i: 0.7733 + 1.9e-8 * d,
w: 96.6612 + 3.0565e-5 * d,
a: 19.18171 - 1.55e-8 * d,
e: 0.047318 + 7.45e-9 * d,
M: 142.5905 + 0.011725806 * d,
};
},
Neptune: function (d) {
return {
N: 131.7806 + 3.0173e-5 * d,
i: 1.77 - 2.55e-7 * d,
w: 272.8461 - 6.027e-6 * d,
a: 30.05826 + 3.313e-8 * d,
e: 0.008606 + 2.15e-9 * d,
M: 260.2471 + 0.005995147 * d,
};
},
};
// Ecliptic heliocentric (degrees)
// (does not include perturbations for Jupiter/Saturn/Uranus)
var dpr = 180 / MathBox.π;
var sin = function (deg) {
return Math.sin(deg / dpr);
};
var cos = function (deg) {
return Math.cos(deg / dpr);
};
var atan2 = function (y, x) {
return Math.atan2(y, x) * dpr;
};
var sqrt = Math.sqrt;
// Position iteration
var iterate = function (E, M, e) {
return E - (E - e * dpr * sin(E) - M) / (1 - e * cos(E));
};
// Emit planet position
var planet = function (emit, key, d) {
var orbit = orbits[key];
var p = orbit(d);
var E = p.M + p.e * dpr * sin(p.M) * (1 + p.e * cos(p.M));
E = iterate(E, p.M, p.e);
E = iterate(E, p.M, p.e);
E = iterate(E, p.M, p.e);
var xv = p.a * (cos(E) - p.e);
var yv = p.a * (sqrt(1.0 - p.e * p.e) * sin(E));
var v = atan2(yv, xv);
var r = sqrt(xv * xv + yv * yv);
var xh =
r * (cos(p.N) * cos(v + p.w) - sin(p.N) * sin(v + p.w) * cos(p.i));
var yh =
r * (sin(p.N) * cos(v + p.w) + cos(p.N) * sin(v + p.w) * cos(p.i));
var zh = r * (sin(v + p.w) * sin(p.i));
emit(xh, yh, zh);
};
// Calculate orbital periods
var periods = {};
for (key in orbits) {
periods[key] = Math.pow(orbits[key](0).a, 1.5);
}
// Load mathbox with camera controls
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
far: 1000,
},
});
mathbox.three.camera.position.set(0, 1, 3);
// Set scale
mathbox.set({
scale: 720,
});
// Absolute time w/ controlled time travel (1 second => 1 day)
var clock = mathbox.clock({ speed: 86400 });
var now = clock.now();
// Prepare labels and colors
var view = now.transform({ rotation: [-MathBox.π / 2, 0, 0] });
var names = [
"Sun",
"Mercury",
"Venus",
"Earth",
"Mars",
"Jupiter",
"Saturn",
"Uranus",
"Neptune",
];
var colors = [
new THREE.Color("#ffb600"),
new THREE.Color("#ccaa72"),
new THREE.Color("#ffe9ba"),
new THREE.Color("#67c8ff"),
new THREE.Color("#f87f50"),
new THREE.Color("#cccbb7"),
new THREE.Color("#e6db7c"),
new THREE.Color("#c4e7e9"),
new THREE.Color("#8eb9f3"),
];
// 360 degree orbit
view
.matrix({
width: 256,
height: names.length,
channels: 3,
expr: function (emit, i, j, t) {
var key = names[j];
planet(emit, key, dayNumber(t) - (i / 256) * 366 * periods[key]);
},
})
.matrix({
width: 1,
height: names.length,
channels: 4,
expr: function (emit, i, j) {
emit(colors[j].r * 0.5, colors[j].g * 0.5, colors[j].b * 0.5, 1);
},
})
.line({
color: "#ffffff",
points: "<<",
colors: "<",
width: 3,
depth: 0.5,
});
// up to 1 (earth) year in the past till now
view
.matrix({
width: 128,
height: names.length,
channels: 3,
expr: function (emit, i, j, t) {
var key = names[j];
planet(
emit,
key,
dayNumber(t) - (365 * Math.min(1, periods[key]) * i) / 128
);
},
})
.matrix({
width: 128,
height: names.length,
channels: 4,
expr: function (emit, i, j) {
var key = names[j];
emit(
colors[j].r,
colors[j].g,
colors[j].b,
1 - (i / 128) * Math.min(1, periods[key])
);
},
})
.line({
color: "#ffffff",
points: "<<",
colors: "<",
width: 5,
depth: 0.5,
zBias: 20,
});
// Current position
view
.array({
width: names.length,
channels: 3,
expr: function (emit, i, t) {
var key = names[i];
planet(emit, key, dayNumber(t));
},
})
.array({
id: "colors",
width: names.length,
channels: 4,
expr: function (emit, i) {
emit(colors[i].r, colors[i].g, colors[i].b, 1);
},
})
.point({
color: "#ffffff",
points: "<<",
colors: "<",
size: 15,
depth: 0.5,
zBias: 50,
})
.format({
data: names,
})
.label({
color: "#ffffff",
points: "<<",
colors: "<",
background: "#000000",
depth: 0.5,
zIndex: 1,
});
// Date
view
.layer()
.array({
width: 1,
data: [0, -0.9, 0],
})
.format({
expr: function (x, y, z, w, i, j, k, l, t) {
var d = new Date(t * 1000);
return [d.getFullYear(), d.getMonth() + 1, d.getDate()].join("/");
},
})
.label({
color: "#ffffff",
background: "#000000",
zIndex: 2,
});
</script>
<!-- Kerbal ftw -->
<iframe
style="opacity: 0; position: absolute; top: -1000px"
width="420"
height="315"
src="https://www.youtube.com/embed/aQ-r0mpVbbo?autoplay=1"
frameborder="0"
allowfullscreen
></iframe>
</body>
</html>
| cchudzicki/mathbox | examples/sci/solarsystem.html | HTML | mit | 9,359 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Axis</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 45,
},
});
three = mathbox.three;
three.camera.position.set(-0.15, 0.15, 3.6);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
colors = {
x: new THREE.Color(0xff4136),
y: new THREE.Color(0x2ecc40),
z: new THREE.Color(0x0074d9),
};
view = mathbox
.set({
scale: 720,
focus: 1,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
color: colors.x,
});
view.axis({
axis: 2, // "y" also works
color: colors.y,
});
view.axis({
axis: 3,
color: colors.z,
});
mathbox
.select("axis")
.set("end", true)
.set("width", 5)
.bind("depth", function (t) {
return 0.5 + 0.5 * Math.sin(t * 0.5);
});
view.array({
id: "colors",
live: false,
data: [colors.x, colors.y, colors.z].map(function (color) {
return [color.r, color.g, color.b, 1];
}),
});
view
.array({
data: [
[2, 0, 0],
[0, 1.11, 0],
[0, 0, 1],
],
channels: 3, // necessary
live: false,
})
.text({
data: ["x", "y", "z"],
})
.label({
color: 0xffffff,
colors: "#colors",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/axis.html | HTML | mit | 2,323 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Camera</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core"],
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [1, 1, 1],
});
var camera = view.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
return [
-3 * Math.cos(t) + 1,
0.4 * Math.cos(t * 0.381) + 1,
-3 * Math.sin(t) + 1,
];
},
}
);
view
.transform({
position: [0, 0.5, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0xb0b0b0,
depth: 0.5,
})
.end()
.transform({
position: [0, -0.5, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0x2fff90,
depth: 0.5,
})
.end();
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/camera.html | HTML | mit | 1,533 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - 4D Cartesian w/ projection</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
π = Math.PI;
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.transform4({
matrix: [1, 0, 0, 0.577, 0, 1, 0, 0.577, 0, 0, 1, 0.577, 0, 0, 0, 1],
})
.cartesian4({
range: [
[-1, 1],
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [1, 1, 1, 1],
});
view.axis({
axis: 1,
});
view.grid({
axes: [1, 3],
width: 4,
});
view.axis({
axis: 2,
});
view.axis({
axis: 3,
});
view.axis({
axis: 4,
});
// Native 4D
view.area({
rangeX: [-π, π],
rangeY: [-1, 1],
width: 32,
height: 8,
expr: function (emit, x, y, i, j, time) {
θ =
(π / 2) *
(Math.cos(
time * 0.31 +
Math.cos(time * 0.481 - Math.sin(time * 0.318)) +
Math.sin(time * 1.179)
) +
Math.cos(
time * 0.61 -
Math.sin(time * 0.305 - Math.cos(time * 0.573)) +
Math.cos(time * 0.962)
));
ϕ =
time +
Math.sin(
time * 0.51 -
Math.cos(time * 0.527 + Math.sin(time * 0.113)) +
Math.sin(time * 1.224)
);
ξ1 = ϕ + y / 2;
ξ2 = x;
η = θ;
sum = ξ1 + ξ2;
diff = ξ1 - ξ2;
s = Math.sin(η);
c = Math.cos(η);
x = Math.cos(sum) * s;
y = Math.sin(sum) * s;
z = Math.cos(diff) * c;
w = Math.sin(diff) * c;
emit(x, y, z, w);
},
channels: 4,
});
view.line({
color: 0x3080ff,
width: 10,
});
// Manual 4D -> 3D
view.area({
rangeX: [-π, π],
rangeY: [-1, 1],
width: 96,
height: 8,
expr: function (emit, x, y, i, j, time) {
θ =
(π / 2) *
(Math.cos(
time * 0.31 +
Math.cos(time * 0.481 - Math.sin(time * 0.318)) +
Math.sin(time * 1.179)
) +
Math.cos(
time * 0.61 -
Math.sin(time * 0.305 - Math.cos(time * 0.573)) +
Math.cos(time * 0.962)
));
ϕ =
time +
Math.sin(
time * 0.51 -
Math.cos(time * 0.527 + Math.sin(time * 0.113)) +
Math.sin(time * 1.224)
);
ξ1 = ϕ + y / 2;
ξ2 = x;
η = θ;
sum = ξ1 + ξ2;
diff = ξ1 - ξ2;
s = Math.sin(η);
c = Math.cos(η);
x = Math.cos(sum) * s;
y = Math.sin(sum) * s;
z = Math.cos(diff) * c;
w = Math.sin(diff) * c;
s = 0.577;
emit(x + w * s, y + w * s, z + w * s, 0);
},
channels: 4,
});
view.point({
color: 0xc02050,
size: 20,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/cartesian4.html | HTML | mit | 4,056 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 500,
focus: 3,
})
.camera({
proxy: true,
position: [0, 0, 3],
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.grid({
color: "black",
divideX: 2,
divideY: 2,
zBias: 10,
opacity: 0.75,
});
view2 = view
.rtt({
type: "unsignedByte",
})
.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
return [Math.cos(t) * 3, Math.sin(t * 0.271), Math.sin(t) * 3];
},
}
)
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
})
.grid({
color: "black",
divideX: 2,
divideY: 2,
zBias: 10,
opacity: 0.75,
});
view.compose({
color: "#fff",
opacity: 0.5,
zWrite: false,
});
view.area({
width: 16,
height: 16,
rangeX: [0, 1],
rangeY: [0, 1],
expr: function (emit, x, y, i, j) {
emit(x, y, 0, 1);
},
minFilter: "linear",
magFilter: "linear",
});
view.interval({
width: 16,
range: [0, 1],
expr: function (emit, x, i) {
emit(x, 0, 0);
},
minFilter: "linear",
magFilter: "linear",
});
view.compose({
color: "#fff",
opacity: 0.333,
zWrite: false,
});
view
.area({
width: 3,
height: 16,
})
.interval({
width: 8,
minFilter: "linear",
magFilter: "linear",
expr: function (emit, x, i, t) {
x = x;
y = Math.sin(x + t) * 0.5 + 0.5;
emit(y, y, y, 1);
},
})
.surface({
color: 0xffffff,
points: "<<",
map: "<",
zBias: -5,
});
view.compose({
color: "#fff",
opacity: 0.333,
zWrite: false,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/compose.html | HTML | mit | 3,199 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Raw Context</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var WIDTH = 640;
var HEIGHT = 480;
// Vanilla Three.js
var renderer = new THREE.WebGL1Renderer();
var scene = new THREE.Scene();
var camera = new THREE.PerspectiveCamera(60, WIDTH / HEIGHT, 0.01, 1000);
// Insert into document
document.body.appendChild(renderer.domElement);
// MathBox context
var context = new MathBox.Context(renderer, scene, camera).init();
var mathbox = context.api;
// Set size
renderer.setSize(WIDTH, HEIGHT);
context.resize({ viewWidth: WIDTH, viewHeight: HEIGHT });
// Place camera and set background
camera.position.set(0, 0, 3);
renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// MathBox elements
view = mathbox
.set({
focus: 3,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
detail: 30,
});
view.axis({
axis: 2,
});
view.scale({
divide: 10,
});
view.ticks({
classes: ["foo", "bar"],
width: 2,
});
view.grid({
divideX: 30,
width: 1,
opacity: 0.5,
zBias: -5,
});
view.interval({
id: "sampler",
width: 64,
expr: function (emit, x, i, t) {
y = Math.sin(x + t) * 0.7;
emit(x, y);
},
channels: 2,
});
view.line({
points: "#sampler",
color: 0x3090ff,
width: 5,
});
frame = function () {
requestAnimationFrame(frame);
context.frame();
renderer.render(scene, camera);
};
requestAnimationFrame(frame);
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/context.html | HTML | mit | 2,275 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Curve</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
focus: 3,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
detail: 30,
});
view.axis({
axis: 2,
});
view.scale({
divide: 10,
});
view.ticks({
classes: ["foo", "bar"],
width: 2,
});
view.grid({
divideX: 30,
width: 1,
opacity: 0.5,
zBias: -5,
});
view.interval({
id: "sampler",
width: 64,
expr: function (emit, x, i, t) {
y = Math.sin(x + t) * 0.7; // + (i%2)*Math.sin(x * 400000 + t * 5 + x * x * 10000)*.05;
emit(x, y);
},
channels: 2,
});
view.line({
points: "#sampler",
color: 0x3090ff,
width: 5,
});
view
.transform({
position: [0, 0.1, 0],
})
.line({
points: "#sampler",
color: 0x3090ff,
width: 5,
stroke: "dotted",
});
view
.transform({
position: [0, -0.1, 0],
})
.line({
points: "#sampler",
color: 0x3090ff,
width: 5,
stroke: "dashed",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/curve.html | HTML | mit | 2,279 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Curvedots</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.interval({
id: "sampler",
width: 32,
expr: function (emit, x, i, time) {
y =
Math.sin(x + time) +
(i % 2) * Math.sin(x * 400000 + time * 5 + x * x * 10000) * 0.05;
emit(x, y);
},
channels: 2,
});
view.spread({
unit: "absolute",
height: [0, 0.05, 0, 0],
});
view.split({
axis: "x",
length: 3,
overlap: 0,
});
view.join({
axis: "x",
overlap: 1,
});
view.line({
color: 0x3090ff,
width: 5,
});
view.point({
color: 0x3090ff,
size: 30,
});
// presentation integration
messageHandler = function (event) {
d = event.data;
if (d && (d = d.mathBoxDirector) && d.method == "go") {
v = Math.max(0, Math.min(1, d.args[0] - 3));
mathbox.select("#sampler").set({ history: v * 25 });
}
}.bind(this);
window.addEventListener("message", messageHandler);
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/curvedots.html | HTML | mit | 2,149 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Data</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(-0.5, 0.4, -1.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
// Prepare test data
data = [];
for (var i = 0; i < 100; ++i) {
data.push([(i / 100) * 2 - 1, 0, 0]);
data.push([(i / 100) * 2 - 1, Math.random(), 0]);
}
sampler = data.slice();
// Animate begin/end range
map = function (x) {
return Math.floor((x * data.length) / 2) * 2;
};
time = 0;
three.on("update", function () {
time = three.Time.frames / 200;
o = -Math.cos(time * 4 + Math.cos(time * 0.91)) * 0.5 + 0.5;
p = Math.cos(time * 5 + Math.sin(time)) * 0.5 + 0.5;
q = map(Math.min(o, p));
r = map(Math.max(o, p));
sampler = data.slice(q, r);
sampler1.set("data", sampler);
o = -Math.sin(time * 3.1 + Math.cos(time * 0.81)) * 0.5 + 0.5;
p = Math.cos(time * 4.47 + Math.sin(time * 1.21)) * 0.5 + 0.5;
q = map(Math.min(o, p));
r = map(Math.max(o, p));
sampler2.set("data", data.slice(q, r));
});
// Mathbox view
view = mathbox.cartesian({
range: [
[-1, 1],
[-0.5, 1.5],
[-1, 1],
],
scale: [1, 1, 1],
});
view.axis({
axis: 1,
end: true,
width: 3,
depth: 1,
color: 0xffffff,
opacity: 0.5,
zBias: -1,
blending: THREE.AdditiveBlending,
});
view.array({
id: "dimmed",
width: 100,
data: data,
items: 2,
channels: 3,
});
view.vector({
color: 0x707070,
width: 4,
depth: 1,
opacity: 0.25,
end: true,
zWrite: false,
blending: THREE.AdditiveBlending,
});
view.array({
id: "sampler1",
width: 100,
data: [[]],
items: 2,
channels: 3,
});
view.vector({
color: 0x3090ff,
width: 4,
depth: 1,
end: true,
zWrite: false,
blending: THREE.AdditiveBlending,
});
view.array({
id: "sampler2",
width: 100,
data: [[]],
items: 2,
channels: 3,
});
view.vector({
color: 0x903000,
width: 4,
depth: 1,
end: true,
zWrite: false,
blending: THREE.AdditiveBlending,
});
sampler1 = mathbox.select("#sampler1");
sampler2 = mathbox.select("#sampler2");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/data.html | HTML | mit | 3,432 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - DOM Label</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<div style="display: none">
<input id="label" type="button" value="Hello World" />
</div>
<script>
label = document.querySelector("#label");
// Define local DOM handler to clone real DOM elements
var clone = MathBox.DOM.createClass({
render: function (el, props, children) {
var button = children.cloneNode(true);
button.value += " (" + props.i + ", " + props.j + ")";
button.onclick = function () {
alert("You clicked (" + props.i + ", " + props.j + ").");
};
return button;
},
});
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
near: 0.01,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(1.1, 1.45, 1);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: null,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
zBias: -10,
end: true,
width: 10,
});
view.axis({
axis: 2,
zBias: -10,
end: true,
width: 10,
});
view.grid({
divideX: 30,
width: 10,
opacity: 0.5,
zBias: -10,
axes: [1, 3],
});
view.interval({
width: 8,
expr: function (emit, x, i, time) {
y = Math.sin(x + (time * 0.2) / 4) * 0.7;
emit(x, y);
},
channels: 2,
});
view.repeat({
height: 3,
depth: 2,
});
view.spread({
unit: "absolute",
height: [0, 0, 0.5],
depth: [0, 0.5, 0],
});
view
.point({
color: 0x3090ff,
size: 40,
})
.html({
width: 2,
height: 2,
depth: 2,
expr: function (emit, el, i, j) {
// Emit copies of the label
emit(el(clone, { i: i + 1, j: j + 1 }, label));
},
})
.dom({
snap: true,
offset: [0, -32],
depth: 0,
size: 24,
zoom: 1,
outline: 2,
pointerEvents: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/dom-clone.html | HTML | mit | 3,118 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - LaTeX Label (KaTeX)</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<link
rel="stylesheet"
href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.5.1/katex.min.css"
/>
<script src="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.5.1/katex.min.js"></script>
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
// Define global DOM handler to format 'latex' into an HTML span
MathBox.DOM.Types.latex = MathBox.DOM.createClass({
render: function (el) {
this.props.innerHTML = katex.renderToString(this.children);
return el("span", this.props);
},
});
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
near: 0.01,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(1.1, 1.45, 1);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.unit({
scale: null,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
zBias: -10,
end: true,
width: 10,
});
view.axis({
axis: 2,
zBias: -10,
end: true,
width: 10,
});
view.grid({
divideX: 30,
width: 10,
opacity: 0.5,
zBias: -10,
axes: [1, 3],
});
view.interval({
width: 8,
expr: function (emit, x, i, time) {
y = Math.sin(x + (time * 0.2) / 4) * 0.7;
emit(x, y);
},
channels: 2,
});
view.repeat({
height: 3,
depth: 2,
});
view.spread({
unit: "absolute",
height: [0, 0, 0.5],
depth: [0, 0.5, 0],
});
view
.point({
color: 0x3090ff,
size: 40,
})
.html({
width: 8,
height: 3,
depth: 2,
expr: function (emit, el, i, j, k, l, time) {
// Emit latex element
emit(
el(
"latex",
null,
"c = \\mathbf{F} \\pm\\sqrt{" + i + " a^2 + " + j + " b^2}"
)
);
},
})
.dom({
snap: false,
offset: [0, -32],
depth: 0.5,
size: 24,
zoom: 1,
outline: 2,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/dom-latex.html | HTML | mit | 3,148 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - HTML Label</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
near: 0.01,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(1.1, 1.45, 1);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.unit({
scale: null,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
zBias: -10,
end: true,
width: 10,
});
view.axis({
axis: 2,
zBias: -10,
end: true,
width: 10,
});
view.grid({
divideX: 30,
width: 10,
opacity: 0.5,
zBias: -10,
axes: [1, 3],
});
view.interval({
width: 16,
expr: function (emit, x, i, time) {
y = Math.sin(x + (time * 0.2) / 4) * 0.7;
emit(x, y);
},
channels: 2,
});
view.repeat({
height: 5,
depth: 2,
});
view.spread({
unit: "absolute",
height: [0, 0, 0.25],
depth: [0, 0.25, 0],
});
view
.point({
color: 0x3090ff,
size: 40,
})
.html({
width: 16,
height: 5,
depth: 2,
expr: function (emit, el, i, j, k, l, time) {
time *= 0.2;
var color = ["#c02050", "#50c020"][i % 2];
emit([
el(
"span",
{ style: { color: color } },
Math.floor(time * 2 + i / 8)
),
el(
"strong",
null,
String.fromCharCode(j + 65) +
String.fromCharCode(
i + 0x8000 + (Math.floor(time + i / 8) % 100) * 3
)
),
]);
},
})
.dom({
snap: false,
offset: [0, -32],
depth: 0.5,
size: 24,
zoom: 1,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/dom-vdom.html | HTML | mit | 2,915 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Face</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.5, 1, -1.3);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
time = 0;
fade = 0;
three.on("update", function () {
clock = three.Time.clock;
time = clock;
t = Math.max(clock, 0) / 2;
t = t < 0.5 ? t * t : t - 0.25;
o = 0.5 - 0.5 * Math.cos(Math.min(1, t) * MathBox.π);
fade = o;
f = t / 8;
c = Math.cos(f);
s = Math.sin(f);
view.set("quaternion", [0, -s, 0, c]);
});
view = mathbox.cartesian({
range: [
[-1, 1],
[0, 1],
[-1, 1],
],
scale: [2, 1, 2],
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
blending: "add",
});
view.area({
width: 101,
height: 101,
axes: [1, 3],
expr: function (emit, x, z, i, j) {
a =
Math.sin(i * 31.718 - time + Math.cos(j * 12.11 + i * i + time)) *
Math.sin(j * 21.131 + time) *
fade *
0.02;
b =
Math.sin(j * 27.41 + time + Math.cos(i * 7.68 + j * j + time)) *
Math.sin(j * 11.91 + 5 * Math.cos(i * 4.1) + time) *
fade *
0.02;
c =
Math.sin(i * 15.33 + time) *
Math.cos(j * 14.91 + 2 * Math.cos(i * 3.4) + time * 0.71) *
fade *
0.02;
d =
Math.sin(x * 1.33 + time) *
Math.cos(z * 1.91 + 2 * Math.cos(x * 0.4) + time * 0.71) *
fade;
e =
Math.sin(x * 2.42 + time) *
Math.cos(z * 2.36 - 1.57 * Math.cos(x * 0.63) + time * 0.81) *
fade;
y = 0.5 + a + b + c + (d * e + d + e) * 0.2;
o = fade;
a *= o * o;
b *= o * o;
c *= o * o;
emit(x, y, z);
emit(x, y + c, z + 1 / 50);
emit(x + 1 / 50, y + b, z + 1 / 50);
emit(x + 1 / 50, y + a, z);
},
items: 4,
channels: 3,
});
view.face({
color: 0x3090ff,
color: 0xa0b7ff,
shaded: true,
});
view.point({
size: 5,
color: 0x3090ff,
color: 0xb0c7ff,
zBias: 2,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/face.html | HTML | mit | 3,132 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT Feedback</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
focus: 3,
})
.rtt({
type: "float",
})
.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
return [Math.cos(t) * 3, 0, Math.sin(t) * 3];
},
}
)
.compose({
color: "#fcfbfa",
zWrite: false,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
})
.grid({
divideX: 2,
divideY: 2,
opacity: 0.25,
});
mathbox.compose({
color: "#fff",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/feedback.html | HTML | mit | 1,616 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Format Scale</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 45,
},
});
three = mathbox.three;
three.camera.position.set(1, 1, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 950,
focus: 3,
fov: 45,
})
.cartesian(
{
scale: [2, 1, 1],
},
{
range: function (t) {
var v = 0.5 - 0.5 * Math.sin(t * 2);
v = 20 * v * v;
return [
[-2 - v, 2 + v],
[-1, 1],
[-1, 1],
];
},
}
);
view.axis({
detail: 20,
end: true,
width: 5,
});
view.axis({
axis: 2,
end: true,
width: 5,
});
view.axis({
axis: 3,
end: true,
width: 5,
});
view.scale({
divide: 10,
});
view.ticks({
width: 5,
classes: ["foo", "bar"],
color: "red",
zBias: 1,
});
view.format();
view.label({
size: 16,
depth: 1,
});
mathbox.select("axis, ticks, label").bind("depth", function (t) {
return 0.5 + 0.5 * Math.sin(t * 0.25);
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/format.html | HTML | mit | 2,095 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Fragment Color Cube</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script type="application/glsl" id="vertex-xyz">
// Enable STPQ mapping
#define POSITION_STPQ
void getPosition(inout vec4 xyzw, inout vec4 stpq) {
// Store XYZ per vertex in STPQ
stpq = xyzw;
}
</script>
<script type="application/glsl" id="fragment-xyz">
// Enable STPQ mapping
#define POSITION_STPQ
vec4 getColor(vec4 rgba, inout vec4 stpq) {
// Retrieve interpolated XYZ from vertices and use as RGB color.
// Note: gamma correction is applied with .fragment({ gamma: true }).
vec3 rgb = stpq.xyz;
// Add spatial grid
vec3 d3 = abs(fract(stpq.xyz * 16.0) - .5);
float level = 1.0 - 2.0 * min(d3.x, min(d3.y, d3.z));
float grid = clamp(level * 32.0 - 24.0, 0.0, 1.0) * .5 + .5;
return vec4(rgb * grid, 1.0);
}
</script>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// View XYZ cube [0..1]
view = mathbox
.set({
scale: 720,
focus: 5,
})
.camera({
proxy: true,
position: [2, 1, 3],
})
.cartesian({
range: [
[0, 1],
[0, 1],
[0, 1],
],
scale: [1, 1, 1],
});
// 3 axes and grids
view.axis({
axis: 1,
width: 3,
});
view.axis({
axis: 2,
width: 3,
});
view.axis({
axis: 3,
width: 3,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [1, 2],
zOrder: 1,
origin: [-0.1, -0.1, -0.1],
});
view.grid({
width: 2,
opacity: 0.5,
axes: [2, 3],
zOrder: 1,
origin: [-0.1, -0.1, -0.1],
});
view.grid({
width: 2,
opacity: 0.5,
axes: [1, 3],
zOrder: 1,
origin: [-0.1, -0.1, -0.1],
});
var remap = function (v) {
return 0.5 * v;
};
var clamp = function (v) {
return Math.max(0, Math.min(1, v));
};
// Visualize points in volume
var points = view.volume({
expr: function (emit, x, y, z, i, j, k, t) {
// Add some jitter
x =
x +
remap(Math.sin(y * 5 + t)) * remap(Math.sin(z * 5.32 + t)) * 0.25;
y =
y +
remap(Math.sin(z * 5 + t)) * remap(Math.sin(x * 5.32 + t)) * 0.25;
z =
z +
remap(Math.sin(x * 5 + t)) * remap(Math.sin(y * 5.32 + t)) * 0.25;
x =
x +
remap(Math.sin(y * 10.27 - t)) *
remap(Math.sin(z * 10.19 + t)) *
0.2;
y =
y +
remap(Math.sin(z * 10.27 - t)) *
remap(Math.sin(x * 10.19 + t)) *
0.2;
z =
z +
remap(Math.sin(x * 10.27 - t)) *
remap(Math.sin(y * 10.19 + t)) *
0.2;
x =
x +
remap(Math.sin(y * 15.59 + t)) *
remap(Math.sin(z * 15.31 - t)) *
0.15;
y =
y +
remap(Math.sin(z * 15.59 + t)) *
remap(Math.sin(x * 15.31 - t)) *
0.15;
z =
z +
remap(Math.sin(x * 15.59 + t)) *
remap(Math.sin(y * 15.31 - t)) *
0.15;
x =
x +
remap(Math.sin(y * 21.17 - t)) *
remap(Math.sin(z * 20.03 - t)) *
0.1;
y =
y +
remap(Math.sin(z * 21.17 - t)) *
remap(Math.sin(x * 20.03 - t)) *
0.1;
z =
z +
remap(Math.sin(x * 21.17 - t)) *
remap(Math.sin(y * 20.03 - t)) *
0.1;
emit(clamp(x), clamp(y), clamp(z));
},
width: 9,
height: 9,
depth: 9,
channels: 3,
});
// Nest vertex/fragment transform
var xf = view;
xf = xf
.shader({
code: "#vertex-xyz",
})
.vertex({
// Work in data XYZ instead of view XYZ
pass: "data",
});
xf = xf
.shader({
code: "#fragment-xyz",
})
.fragment({
// Convert from (web) sRGB to (GL) linear RGB on output
gamma: true,
});
// Make surface from data
xf.surface({
fill: true,
lineX: false,
lineY: false,
width: 2,
zBias: 1,
color: 0xffffff,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/fragmentcolor.html | HTML | mit | 5,466 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Grid</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.grid({
divideX: 20,
width: 5,
opacity: 0.3,
});
view.grid({
axes: "xz",
divideX: 10,
divideY: 5,
width: 5,
opacity: 0.8,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/grid.html | HTML | mit | 1,306 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Grow</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core"],
});
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
function previous() {
present.set("index", present.get("index") - 1);
}
function next() {
present.set("index", present.get("index") + 1);
}
if (window == top)
window.onkeydown = function (e) {
switch (e.keyCode) {
case 37:
case 38:
previous();
break;
case 39:
case 40:
next();
break;
}
//console.log(present.get('index'));
};
var size = 1.2;
var scale = 1.6;
var view = mathbox.cartesian({
range: [
[-size, size],
[-size, size],
[-size, size],
],
scale: [scale, scale, scale],
});
view.axis({
axis: "x",
size: 5,
color: "red",
});
view.axis({
axis: "y",
size: 5,
color: "green",
});
var present = view.present({
index: 1,
});
// Nest the whole presentation in a slide
// This means any .step() directly inside will follow present.index directly
var slide = present.slide();
// Camera has a global script of steps
slide
.camera({
lookAt: [0, 0, 0],
proxy: true,
})
.step({
pace: 1,
script: {
0: { position: [0, 0, 3], up: [0, 1, 0] },
1: { position: [0, -2.5, 0.4], up: [0, 0, 1] },
},
});
// Points are visible the entire presentation
slide
.array({
width: 16,
items: 2,
channels: 3,
fps: 60,
live: false,
expr: function (emit) {
var x = Math.random() * 2 - 1;
var y = Math.random() * 2 - 1;
emit(x, y, 0); // footprint
emit(x, y, x * x + y * y); // point
},
})
// Grow points on step 2
// Use first item as reference point
.grow({
items: "first",
})
.step({
delay: 2,
pace: 2,
trigger: 1,
script: [{ props: { scale: 0 } }, { props: { scale: 1 } }],
})
// Connect footprint and point with line
.vector({
width: 3,
})
// Draw second point only
.slice({
items: [1, 2],
})
.point({
size: 8,
});
// Paraboloid is revealed next and stays for 2 steps
// Make a subslide for this to keep the current slide visible too
slide
.slide({
steps: 2,
})
.reveal({
delay: 1,
duration: 1.2,
})
.area({
axes: "xy",
width: 24,
height: 24,
channels: 3,
items: 1,
live: false,
expr: function (emit, x, y) {
emit(x, y, x * x + y * y);
},
})
.surface({
opacity: 0.2,
shaded: true,
lineX: true,
lineY: true,
})
.step({
script: [{ props: { opacity: 0.2 } }, { props: { opacity: 1 } }],
});
</script>
<div
style="
position: absolute;
bottom: 15px;
left: 50%;
margin-left: -60px;
width: 120px;
font-size: 20px;
text-align: center;
"
>
<button onclick="previous()"><</button
><button onclick="next()">></button>
</div>
</body>
</html>
| cchudzicki/mathbox | examples/test/grow.html | HTML | mit | 4,157 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Helix Test</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-6, 6],
[-1, 1],
[-1, 1],
],
scale: [6, 1, 1],
});
view.axis({
width: 5,
start: true,
end: true,
});
view.interval({
width: 128,
expr: function (emit, x, i, time) {
var theta = x + time;
var a = Math.cos(theta);
var b = Math.sin(theta);
emit(x, a, b);
emit(x, -a, -b);
},
items: 2,
channels: 3,
});
view.line({
color: 0x3090ff,
width: 10,
size: 2.5,
start: true,
end: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/helix.html | HTML | mit | 1,615 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - History</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(3.5, 1.4, -2.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 720,
focus: 2,
})
.cartesian(
{
range: [
[-3, 3],
[-0.25, 0.75],
[-3, 3],
],
scale: [2, 1, 2],
},
{
quaternion: function (time) {
t = Math.max(time, 0) / 25;
t = t < 0.5 ? t * t : t - 0.25;
o = 0.5 - 0.5 * Math.cos(Math.min(1, t) * MathBox.π);
c = Math.cos(t);
s = Math.sin(t);
return [0, -s, 0, c];
},
}
);
view.axis({
width: 5,
axis: 1,
end: true,
});
view.axis({
width: 5,
axis: 2,
end: true,
});
view.axis({
width: 5,
axis: 3,
end: true,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
view.interval({
width: 32,
items: 1,
axis: 1,
history: 96,
expr: function (emit, x, i, time) {
time /= 3;
z = Math.sin(time * 5) * 3;
y =
0.25 +
Math.cos(
x +
z +
Math.sin(1.52 * x - (z * z) / 3 + x * z * 0.25 + time) +
time * 3
) *
0.25;
emit(x, y, z);
},
channels: 3,
});
view.transpose({
order: "xwzy",
});
view.vector({
color: 0x3080ff,
width: 10,
start: true,
end: false,
});
view.transpose({
source: "interval",
order: "ywzx",
});
view.vector({
color: 0x3080ff,
opacity: 0.5,
width: 4,
start: false,
end: false,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/history.html | HTML | mit | 2,791 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Join</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-6, 6],
[-1, 1],
[-1, 1],
],
scale: [6, 1, 1],
});
view.interval({
width: 16,
expr: function (emit, x, i, time) {
var d = Math.sin(x + time);
emit(0.5);
emit(0.5 + d * 0.5);
emit(0.5 + d);
emit(0.5 + d * 1.5);
},
items: 4,
channels: 1,
});
view.swizzle({
order: "yx",
});
view.spread({
unit: "absolute",
width: [0.1, 0, 0, 0],
});
view.split({
axis: "items",
length: 2,
overlap: 1,
});
view.join({
axis: "items",
overlap: 1,
});
view.join({
axis: "items",
overlap: 1,
});
view.vector({
color: 0x3090ff,
start: true,
end: true,
width: 6,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/join.html | HTML | mit | 1,870 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - JoinSplit</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(-3.5, 1.4, -2.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-3, 3],
[0, 1],
[-3, 3],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
view.area({
id: "sampler",
width: 64,
height: 64,
centeredX: true,
centeredY: true,
axes: [1, 3],
expr: function (emit, x, y, i, j, time) {
emit(x, 0.5 + 0.5 * (Math.sin(x + time) * Math.sin(y + time)), y);
},
channels: 3,
});
view.join({
axis: "width",
});
view.split({
axis: "width",
length: 8,
});
view.line({
color: 0x3090ff,
width: 5,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/joinsplit.html | HTML | mit | 1,804 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - GL Label</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
near: 0.01,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(1.1, 1.45, 1);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.unit({
scale: null,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
zBias: -10,
end: true,
width: 10,
});
view.axis({
axis: 2,
zBias: -10,
end: true,
width: 10,
});
view.grid({
divideX: 30,
width: 10,
opacity: 0.5,
zBias: -10,
axes: [1, 3],
});
view
.array({
width: 2,
channels: 4,
data: [
[0xc0 / 255, 0x20 / 255, 0x50 / 255, 1],
[0x50 / 255, 0xc0 / 255, 0x20 / 255, 1],
],
})
.repeat({
id: "colors",
});
view.interval({
width: 16,
expr: function (emit, x, i, time) {
y = Math.sin(x + (time * 0.2) / 4) * 0.7; // + (i%2)*Math.sin(x * 400000 + time * 5 + x * x * 10000)*.05;
emit(x, y);
},
channels: 2,
});
view.repeat({
height: 5,
depth: 2,
});
view.spread({
unit: "absolute",
height: [0, 0, 0.25],
depth: [0, 0.25, 0],
});
view
.point({
color: 0x3090ff,
size: 40,
})
.text({
font: "Helvetica",
style: "bold",
width: 16,
height: 5,
depth: 2,
expr: function (emit, i, j, k, time) {
time *= 0.2;
//emit('QxAfjldgざおぎぼアプヸ⾤⾘⿕⿒');
emit(
Math.floor(time * 2 + i / 8) +
String.fromCharCode(j + 65) +
String.fromCharCode(
i + 0x8000 + (Math.floor(time + i / 8) % 100) * 3
)
);
},
})
.label({
color: "#ffffff",
colors: "#colors",
snap: false,
outline: 2,
size: 24,
offset: [0, -32],
depth: 0.5,
zIndex: 1,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/label.html | HTML | mit | 3,196 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Label</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
near: 0.01,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(1.1, 1.45, 1);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.unit({
scale: null,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.axis({
zBias: -10,
});
view.axis({
axis: 2,
zBias: -10,
});
view.grid({
divideX: 30,
width: 10,
opacity: 0.5,
zBias: -10,
});
view.interval({
width: 16,
expr: function (emit, x, i, time) {
y = Math.sin(x + (time * 0.2) / 4) * 0.7; // + (i%2)*Math.sin(x * 400000 + time * 5 + x * x * 10000)*.05;
emit(x, y);
},
channels: 2,
});
view.repeat({
height: 5,
});
view.spread({
unit: "absolute",
height: [0, 0, 0.3, 0],
});
view
.transform({
position: [0, 0.5, 0],
})
.point({
color: 0x3090ff,
size: 40,
})
.text({
font: "Helvetica",
style: "bold",
width: 16,
height: 5,
sdf: 0,
expr: function (emit, i, j, time) {
time *= 0.2;
//emit('QxAfjldgざおぎぼアプヸ⾤⾘⿕⿒');
emit(
Math.floor(time / 2 + i / 10) +
String.fromCharCode(Math.random() * 26 + j + 65) +
String.fromCharCode(
Math.random() * 15 +
i +
0x8000 +
(Math.floor(time + i / 10) % 100) * 3
)
);
},
})
.label({
color: 0x000090,
snap: false,
size: 16,
offset: [0, -32],
depth: 0.5,
zIndex: 1,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/label2.html | HTML | mit | 2,888 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Lerp Test</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-6, 6],
[-1, 1],
[-1, 1],
],
scale: [6, 1, 1],
});
view
.interval({
width: 16, // number of red data points
items: 2,
channels: 2,
expr: function (emit, x, i, time) {
var d = Math.sin((x + time) * 2) / 2;
emit(x, 0);
emit(x, d);
},
})
.vector({
color: 0xc02050,
width: 16,
size: 3,
end: true,
});
view.lerp({
// number of blue interpolated values
// = 16 original samples + (15 gaps * 8 samples per gap)
width: 136,
});
// drop the first sample in each group of 9
// so that red and blue vectors don't overlap
view
.split({
axis: "x",
length: 9,
})
.slice({
width: [1, 9],
})
.join({
axis: "x",
});
//draw the blue vectors
view.vector({
color: 0x3090ff,
width: 10,
size: 2.5,
end: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/lerp.html | HTML | mit | 2,092 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Line</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 720,
focus: 3,
})
.cartesian({
range: [
[-1, 1],
[-2, 2],
[-1, 1],
],
scale: [2, 1, 1],
});
var data = [
[-1, -1],
[0, -1],
[0, 1],
[1, 1],
];
view.array({
data: data,
channels: 2,
});
view
.transform({
position: [-0.2, 1, 0],
})
.line({
color: 0x3090ff,
width: 20,
join: "miter",
});
view
.transform({
position: [0, 0, 0],
})
.line({
color: 0x50bf30,
width: 20,
join: "round",
});
view
.transform({
position: [0.2, -1, 0],
})
.line({
color: 0xbf2060,
width: 20,
join: "bevel",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/line.html | HTML | mit | 1,877 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Mask 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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../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);
mathbox.set({
scale: 600,
focus: 3,
});
var mask = mathbox
.shader(
{
code: [
"uniform float time;",
"uniform float value;",
"",
"float getMask(vec4 stpq) {",
" vec2 sines = sin(stpq.st * 10.0 + time);",
" return (sines.x * sines.y) + value;",
"}",
].join("\n"),
},
{
time: function (t) {
return t;
},
value: function (t) {
return 1 + 2 * Math.sin(t * 2);
},
}
)
.mask();
var view = mask.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>
| cchudzicki/mathbox | examples/test/mask.html | HTML | mit | 4,161 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Memo</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<link
rel="stylesheet"
href="../../node_modules/shadergraph/build/shadergraph.css"
/>
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0.3, 1, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.interval({
width: 16,
history: 16,
range: [0, 1],
expr: function (emit, x, i, t) {
var j = t * 60;
var y = Math.sin(j * 0.1) * 0.5 + 0.5;
emit(x + y, i % 2, Math.cos(y) * 0.5 + 0.5, 1.0);
},
bufferWidth: 32,
});
view.memo({
minFilter: "linear",
magFilter: "linear",
});
view.compose();
view
.area({
width: 3,
height: 16,
})
.surface({
color: 0xffffff,
points: "<",
map: "<<",
zBias: -5,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/memo.html | HTML | mit | 1,814 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Network Graph</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/TrackballControls.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.TrackballControls,
},
camera: {},
});
three = mathbox.three;
three.controls.maxDistance = 4;
three.controls.rotateSpeed = 2.7;
three.camera.position.set(2.5, 1, 2.5);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 720,
focus: 1,
})
.cartesian({
range: [
[0, 1],
[0, 1],
[0, 1],
],
scale: [1, 1, 1],
});
// given indices into points, find the distance between them
function dist(i, j) {
var x = points[i],
y = points[j];
var x1 = x[0],
x2 = x[1],
x3 = x[2];
var y1 = y[0],
y2 = y[1],
y3 = y[2];
var d1 = y1 - x1,
d2 = y2 - x2,
d3 = y3 - x3;
return Math.sqrt(d1 * d1 + d2 * d2 + d3 * d3);
}
// create points
var nPoints = 20;
var points = [];
for (var i = 0; i < nPoints; i++) {
points.push([Math.random(), Math.random(), Math.random()]);
}
// create links as pairs of distinct points that are near each other
var links = [];
for (var i = 0; i < nPoints; i++) {
for (var j = i + 1; j < nPoints; j++) {
if (dist(i, j) < 0.4) {
links.push(points[i], points[j]);
}
}
}
// draw the points
view
.array({
width: nPoints,
items: 1,
channels: 3,
data: points,
live: false,
})
.point({
color: 0xff4444,
size: 20,
});
// draw the links
view
.array({
width: links.length / 2,
items: 2,
channels: 3,
data: links,
live: false,
})
.vector({
color: 0x4444ff,
width: 2,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/network.html | HTML | mit | 2,717 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Play</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
focus: 3,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.interval({
width: 64,
expr: function (emit, x, i, t) {
y = Math.sin(x + t) * 0.7; // + (i%2)*Math.sin(x * 400000 + t * 5 + x * x * 10000)*.05;
emit(x, y);
},
channels: 2,
});
view.play({
delay: 1, // after 1 second
speed: 1000, // 1000 steps per second, effectively instant
script: [{ props: { live: true } }, { props: { live: false } }],
});
view.line({
color: 0x3090ff,
width: 5,
});
view.play({
delay: 1, // after 1 second
pace: 2, // 2 seconds per step
script: [{ props: { opacity: 1 } }, { props: { opacity: 0.25 } }],
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/play.html | HTML | mit | 1,856 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Point</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 60,
},
});
three = mathbox.three;
three.camera.position.set(-3.5, 1.4, -2.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 1440,
focus: three.camera.position.length(),
})
.cartesian({
range: [
[-2, 2],
[0, 1],
[-2, 2],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 4,
opacity: 0.5,
axes: [1, 3],
});
view.area({
id: "sampler",
width: 32,
height: 32,
axes: [1, 3],
expr: function (emit, x, y, i, j, time) {
emit(x, 0.25 + 0.25 * (Math.sin(x + time) * Math.sin(y + time)), y);
},
});
view.point({
color: 0x3090ff,
size: 20,
});
view
.transform({
position: [0, 0.5, 0],
})
.point({
color: 0xffffff,
size: 38,
shape: "diamond",
fill: true,
zBias: -1,
});
view
.transform({
position: [0, 0.5, 0],
})
.point({
color: 0x30c030,
size: 40,
shape: "diamond",
fill: false,
});
view
.matrix({
expr: function (emit, i, j, time) {
var r = 0.5 + Math.cos(time * 0.873) * j;
var g = 0.5 + Math.sin(time) * i;
var b = 1;
var m = g * 0.75;
var n = (r + g + b) / 3;
r = Math.max(r, m, n * n);
g = Math.max(g, m, n * n);
b = Math.max(b, m, n * n);
var rr = ((r * r + r * Math.sin(time * 0.354)) / 2) * 0.9;
var gg = b + (r + g) * 0.25 * Math.cos(time * 0.289);
var bb = g + r * 0.5 + b * 0.5;
rr = rr + (n - rr) * 0.75;
gg = gg + (n - gg) * 0.75;
bb = bb + (n - bb) * 0.75;
emit(rr, gg, bb, 1);
},
width: 2,
height: 2,
channels: 4,
})
.repeat({
id: "color",
});
view
.transform({
position: [0, 1, 0],
})
.point({
points: "#sampler",
colors: "#color",
color: 0xffffff,
size: 40,
shape: "up",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/point.html | HTML | mit | 3,296 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Point Cloud</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
var three = mathbox.three;
three.camera.position.set(0.91351, 0.47111, 2.5);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
var view = mathbox.cartesian({
range: [
[-16 / 9, 16 / 9],
[-1, 1],
[-1, 1],
],
scale: [16 / 9, 1, 1],
});
view
.area({
width: 200,
height: 200,
axes: [1, 2],
channels: 3,
expr: function (emit, x, y, i, j, t) {
var z =
2 *
(Math.sin(x * 500 + Math.cos(x * y * 100) + t) *
Math.sin(y * 503 + Math.sin(x * 40 + y * 60) + t));
emit(x, -y, z);
},
})
.point({
color: [68 / 255, 174 / 255, 218 / 255],
size: 4,
blending: "add",
opacity: 0.5,
zWrite: false,
zTest: false,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/pointcloud.html | HTML | mit | 1,732 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Point Sizes</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 60,
},
});
three = mathbox.three;
three.camera.position.set(-3.5, 1.4, -2.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 1200,
focus: three.camera.position.length(),
})
.cartesian({
range: [
[-2, 2],
[0, 1],
[-2, 2],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 4,
opacity: 0.5,
axes: [1, 3],
});
view.matrix({
id: "size",
expr: function (emit, i, j, time) {
var a = 0.5 + 0.5 * Math.cos(time * 0.873 + i) * (j % 2);
var b = 0.5 + 0.5 * Math.sin(time + j) * (i % 2);
emit(a * b);
},
width: 32,
height: 32,
channels: 1,
});
view.area({
id: "sampler",
width: 32,
height: 32,
axes: [1, 3],
expr: function (emit, x, y, i, j, time) {
emit(x, 0.25 + 0.25 * (Math.sin(x + time) * Math.sin(y + time)), y);
},
});
view.point({
color: 0x3090ff,
size: 20,
sizes: "#size",
});
view
.transform({
position: [0, 0.5, 0],
})
.point({
color: 0xffffff,
size: 38,
sizes: "#size",
shape: "diamond",
fill: true,
zBias: -1,
});
view
.transform({
position: [0, 0.5, 0],
})
.point({
color: 0x30c030,
size: 40,
sizes: "#size",
shape: "diamond",
fill: false,
});
view
.matrix({
expr: function (emit, i, j, time) {
var r = 0.5 + Math.cos(time * 0.873) * j;
var g = 0.5 + Math.sin(time) * i;
var b = 1;
var m = g * 0.75;
var n = (r + g + b) / 3;
r = Math.max(r, m, n * n);
g = Math.max(g, m, n * n);
b = Math.max(b, m, n * n);
var rr = ((r * r + r * Math.sin(time * 0.354)) / 2) * 0.9;
var gg = b + (r + g) * 0.25 * Math.cos(time * 0.289);
var bb = g + r * 0.5 + b * 0.5;
rr = rr + (n - rr) * 0.75;
gg = gg + (n - gg) * 0.75;
bb = bb + (n - bb) * 0.75;
emit(rr, gg, bb, 1);
},
width: 2,
height: 2,
channels: 4,
})
.repeat({
id: "color",
});
view
.transform({
position: [0, 1, 0],
})
.point({
points: "#sampler",
colors: "#color",
sizes: "#size",
color: 0xffffff,
size: 40,
shape: "up",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/pointsizes.html | HTML | mit | 3,722 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Polar</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
focus: 3,
})
.camera({
proxy: true,
position: [0, 0, 3],
})
.polar({
bend: 1,
range: [
[-2 * MathBox.π, 2 * MathBox.π],
[0, 1],
[-1, 1],
],
scale: [2, 1, 1],
helix: 0.1,
});
view
.transform({
position: [0, 0.5, 0],
})
.axis({
detail: 256,
})
.scale({
divide: 10,
unit: MathBox.π,
base: 2,
})
.ticks({
width: 2,
classes: ["foo", "bar"],
})
.ticks({
opacity: 0.5,
width: 1,
size: 50,
normal: [0, 1, 0],
classes: ["foo", "bar"],
});
view.axis({
axis: 2,
});
view
.transform({
position: [MathBox.π / 2, 0, 0],
})
.axis({
axis: 2,
});
view
.transform({
position: [-MathBox.π / 2, 0, 0],
})
.axis({
axis: 2,
});
view
.interval({
id: "sampler",
width: 256,
expr: function (emit, x, i, t) {
emit(x, 0.5 + 0.5 * Math.sin((x + t) * 3));
},
channels: 2,
})
.line({
points: "#sampler",
color: 0x3090ff,
width: 5,
});
view
.area({
width: 256,
height: 2,
})
.surface({
color: "#fff",
opacity: 0.75,
zBias: -10,
});
view.grid({
divideX: 5,
detailX: 256,
width: 1,
opacity: 0.5,
unitX: MathBox.π,
baseX: 2,
zBias: -5,
zOrder: -2,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/polar.html | HTML | mit | 2,748 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Present</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core"],
});
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
if (window == top)
window.onkeydown = function (e) {
switch (e.keyCode) {
case 37:
case 38:
present.set("index", present.get("index") - 1);
break;
case 39:
case 40:
present.set("index", present.get("index") + 1);
break;
}
//console.log(present.get('index'));
};
setInterval(function () {
present.set(
"index",
(present.get("index") + 1) % (present.get("length") + 1)
);
}, 2000);
var view = mathbox.cartesian({
range: [
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [1, 1, 1],
});
var present = view.present({
index: 1,
});
var camera = view.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
return [
-3 * Math.cos(t),
0.4 + 0.2 * Math.cos(t * 0.381),
-3 * Math.sin(t),
];
},
}
);
present
.slide()
.reveal({
duration: 2,
})
.transform({
position: [0, 1, 0],
scale: [1.1, 1.1, 1.1],
})
.step({
script: [
[{ position: [0, 1, 0] }],
[{ position: [0, 0.75, 0] }],
[{ position: [0, 0.5, 0] }],
[{ position: [0, 0.25, 0] }],
[{ position: [0, 0, 0] }],
[{ position: [0, -0.25, 0] }],
[{ position: [0, -0.5, 0] }],
[{ position: [0, -0.75, 0] }],
[{ position: [0, -1, 0] }],
],
})
.grid({
axes: [1, 3],
width: 2,
color: 0xb0b0b0,
depth: 0.5,
})
.end()
.end()
.slide()
.reveal({
stagger: [1, 1, 0, 0],
})
.transform({
position: [0, 0.75, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0x2fff90,
depth: 0.5,
})
.end()
.end()
.end()
.slide()
.reveal()
.move({
from: [1, 0, 0, 0],
})
.transform({
position: [0, 0.5, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0x2f9ff0,
depth: 0.5,
})
.end()
.end()
.slide()
.reveal({
stagger: 1,
})
.move({
stagger: 1,
to: [0, -1, 0, 0],
})
.transform({
position: [0, 0.25, 0],
})
.grid({
detailX: 20,
detailY: 20,
axes: [1, 3],
width: 2,
color: 0x2f9ff0,
depth: 0.5,
});
present
.slide()
.grid({
axes: [1, 3],
width: 2,
color: 0xff4f90,
depth: 0.5,
})
.reveal({
stagger: [1],
duration: 1,
})
.interval({
width: 128,
expr: function (emit, x, i, t) {
if (i == 0) console.log("emitting");
emit(x, 0.5 + 0.5 * Math.sin((x + t) * 3));
},
channels: 2,
})
.line({
color: 0x3090ff,
width: 20,
});
present
.slide()
.reveal()
.transform({
position: [0, -0.25, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0xff2f90,
depth: 0.5,
})
.end()
.end()
.slide()
.reveal()
.move({
stagger: 2,
from: [0, -2, 0, 0],
to: [0, -2, 0, 0],
})
.transform({
position: [0, -0.5, 0],
})
.grid({
detailX: 20,
detailY: 20,
axes: [1, 3],
width: 2,
color: 0x9f2ff0,
depth: 0.5,
crossed: true,
})
.end()
.end()
.end()
.end()
.slide({
early: 1,
late: 1,
})
.reveal()
.transform({
position: [0, -0.75, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0x9f2ff0,
depth: 0.5,
})
.end()
.end()
.end()
.slide()
.reveal()
.transform({
position: [0, -1, 0],
})
.grid({
axes: [1, 3],
width: 2,
color: 0x9f2ff0,
depth: 0.5,
})
.end()
.end()
.end();
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/present.html | HTML | mit | 5,385 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Present Present</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>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/TrackballControls.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "mathbox"],
controls: {
// Orbit controls, i.e. Euler angles, with gimbal lock
klass: THREE.OrbitControls,
// Trackball controls, i.e. Free quaternion rotation
//klass: THREE.TrackballControls,
},
});
if (mathbox.fallback) throw "WebGL not supported";
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
mathbox.camera({ position: [0, 0, 3], proxy: true });
if (window == top) {
// arrow keys left/right up/down
window.onkeydown = function (e) {
switch (e.keyCode) {
case 37:
case 38:
present.set("index", present.get("index") - 1);
break;
case 39:
case 40:
present.set("index", present.get("index") + 1);
break;
}
};
}
// Top level presentation
var present = mathbox.present({
index: 1,
});
// With one 6-step slide
present
.slide({
steps: 6,
})
// With a presentation with 3 slides inside
.present()
.slide()
.reveal()
.interval({
width: 32,
channels: 2,
expr: function (emit, x, i, t) {
emit(x, Math.sin(x + t));
},
})
.point({
size: 10,
color: 0x3090ff,
})
.line({
width: 5,
color: 0x3090ff,
})
.slice({
width: [16, 17],
})
.format({
data: ["1"],
})
.label({
size: 40,
})
.end()
.end()
.slide()
.reveal()
.interval({
width: 32,
channels: 2,
expr: function (emit, x, i, t) {
emit(x, Math.cos(x - t));
},
})
.point({
size: 10,
color: 0xc05020,
})
.line({
width: 5,
color: 0xc05020,
})
.slice({
width: [16, 17],
})
.format({
data: ["2"],
})
.label({
size: 40,
})
.end()
.end()
.slide()
.reveal()
.interval({
width: 32,
channels: 2,
expr: function (emit, x, i, t) {
emit(x, Math.sin(x * 2 + t));
},
})
.point({
size: 10,
color: 0x40b000,
})
.line({
width: 5,
color: 0x40b000,
})
.slice({
width: [16, 17],
})
.format({
data: ["3"],
})
.label({
size: 40,
})
.end()
.end()
.end()
// We step through the inner presentation using the outer one.
.step({
duration: 0,
script: [
{ props: { index: 1 } },
{ props: { index: 2 } },
{ props: { index: 1 } },
{ props: { index: 3 } },
{ props: { index: 2 } },
{ props: { index: 1 } },
],
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/present2.html | HTML | mit | 4,065 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Readback (Manual Picking)</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 60,
},
});
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Draw blue points inside a box
var blue = new THREE.Color(0x3090ff);
var view = mathbox
.set({
scale: 720,
focus: 3,
})
.camera({
position: [2, 2, 3],
proxy: true,
});
view
.grid({
width: 4,
opacity: 0.5,
axes: [1, 3],
origin: [-1, -1, -1],
})
.grid({
width: 4,
opacity: 0.5,
axes: [1, 2],
origin: [-1, -1, -1],
})
.grid({
width: 4,
opacity: 0.5,
axes: [2, 3],
origin: [-1, -1, -1],
});
view
.area({
id: "points",
centeredX: true,
centeredY: true,
width: 32,
height: 32,
axes: [1, 3],
expr: function (emit, x, y, i, j, t) {
emit(x, 0.5 * (Math.sin(x + t) * Math.sin(y + t)), y);
},
})
.area({
id: "colors",
centeredX: true,
centeredY: true,
width: 32,
height: 32,
axes: [1, 3],
expr: function (emit, x, y, i, j, t) {
var selectedI = i == hovered[0];
var selectedJ = j == hovered[1];
var alpha = hovered != none ? (selectedI + selectedJ) / 3 + 0.5 : 1;
emit(1, 1, 1, alpha);
},
})
.area({
id: "indexes",
centeredX: true,
centeredY: true,
width: 32,
height: 32,
axes: [1, 3],
expr: function (emit, x, y, i, j, t) {
// Store I/J indices in red/green
// Use alpha channel to mark occupancy
emit(i / 255, j / 255, 0, 0);
},
})
.point({
points: "#points",
colors: "#colors",
color: blue,
size: 10,
});
// Draw points in RTT, colored with indexes, at reduced resolution.
var scale = 1 / 4;
view
.rtt({
size: "relative",
width: scale,
height: scale,
})
.point({
points: "#points",
colors: "#indexes",
color: "#ffffff",
size: 13,
blending: "no",
})
.end();
// Readback RTT pixels
var readback = view.readback({
id: "indexbuffer",
type: "unsignedByte",
});
// Render RTT for debugging
/*
readback.compose({
zTest: false,
});
//*/
// Query readback buffer
var mouse = [-1, -1];
var none = [-1, -1];
var hovered = none;
var getIndexAt = function (x, y) {
var data = readback.get("data");
if (!data) {
return none;
}
x = Math.round(x * scale);
y = Math.round(y * scale);
var w = readback.get("width");
var h = readback.get("height");
var o = (x + w * (h - y)) * 4;
var r = data[o];
var g = data[o + 1];
var a = data[o + 3];
return a == 0 ? [r, g] : none;
};
three.canvas.addEventListener("mousemove", function (event) {
mouse = [
event.offsetX * window.devicePixelRatio,
event.offsetY * window.devicePixelRatio,
];
});
three.on("post", function () {
hovered = getIndexAt(mouse[0], mouse[1]);
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/readback.html | HTML | mit | 4,398 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Repeat</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
near: 0.1,
far: 1000,
},
});
three = mathbox.three;
three.camera.position.set(7, 2, -7);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
function lerp(a, b, t) {
return a + (b - a) * t;
}
time = 0;
three.on("update", function () {
time = three.Time.now;
t = Math.max(three.Time.clock, 0) / 20;
t = t < 0.5 ? t * t : t - 0.25;
o = 0.5 - 0.5 * Math.cos(Math.min(1, t) * MathBox.π);
p = 0.5 - 0.5 * Math.cos(t * 4 * MathBox.π);
q = 0.5 - 0.5 * Math.cos(t * 1.13 * MathBox.π);
m = 0.5 - 0.5 * Math.cos(t * 0.387 * MathBox.π);
n = 0.5 - 0.5 * Math.cos(Math.max(0, Math.min(1, t - 40)) * MathBox.π);
r = t * 2;
c = Math.cos(r);
s = Math.sin(r);
view.set("quaternion", [0, s, 0, c]);
view.set("bend", lerp(0.005, 0.721 - p * 0.1, o));
view.set("helix", o * 0.1);
r = o * 0.2 + q * 0.8 - m * 2 + n;
c = Math.cos(r);
s = Math.sin(r);
r = m * 0.1;
cc = Math.cos(r);
ss = Math.sin(r);
surface.set("quaternion", [s * cc, 0, s * ss, c]);
});
view = mathbox.set({ scale: 720, focus: 3 }).polar({
bend: 1 / 128,
range: [
[-MathBox.π, MathBox.π],
[-1, 1],
[-1, 1],
],
scale: [2, 2, 2],
});
view.interval({
width: 32,
centered: false,
expr: function (emit, x, i) {
var a = Math.sin(x + time) * 0.5 - 1;
var b = Math.cos(x - time * 0.917) * 0.25 - 1;
emit(a);
emit(b);
},
items: 2,
channels: 1,
});
view.swizzle({
order: "yx",
});
view.repeat({
height: 20,
depth: 11,
});
view.spread({
id: "spread",
unit: "absolute",
width: [MathBox.π / 31, 0, 0, 0],
height: [MathBox.π, 0, 0, 0],
depth: [0, 0, 1 / 10, 0],
});
view.transpose({
order: "zwxy",
});
view
.transform({
classes: ["surface"],
position: [0, 2, 0],
})
.surface({
color: 0x3090ff,
shaded: true,
lineX: true,
lineY: true,
})
.transpose({
source: "#spread",
order: "wxzy",
})
.surface({
color: 0x3090ff,
shaded: true,
lineX: true,
lineY: true,
});
surface = mathbox.select("transform.surface");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/repeat.html | HTML | mit | 3,419 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT Feedback History</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0.3, 1, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
mathbox
.set({
scale: 720,
})
.rtt({
history: 2,
type: "unsignedByte",
})
.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
x = Math.cos(t) * 3;
z = Math.sin(t) * 3;
return [x, 0, z];
},
}
)
.shader({
code:
"vec4 getSample(vec3 xyz);\n" +
"vec4 getFramesSample(vec3 xyz) {\n" +
" vec4 c = getSample(xyz + vec3( 0.0, 0.0, 1.0));\n" +
" vec3 t = getSample(xyz + vec3( 0.0, 1.0, 0.0)).xyz;\n" +
" vec3 b = getSample(xyz + vec3( 0.0,-1.0, 0.0)).xyz;\n" +
" vec3 l = getSample(xyz + vec3(-1.0, 0.0, 0.0)).xyz;\n" +
" vec3 r = getSample(xyz + vec3( 1.0, 0.0, 0.0)).xyz;\n" +
" return vec4((t + b + l + r) / 2.0 - c.xyz, c.w);\n" +
"}",
})
.resample({
indices: 3,
channels: 4,
})
.compose({
color: "#ffffff",
zWrite: false,
})
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
})
.grid({
divideX: 2,
divideY: 2,
zBias: 10,
opacity: 0.25,
color: 0xc0e0ff,
width: 3,
})
.end()
.end()
.compose({
color: "#fff",
zWrite: false,
});
var camera = mathbox.select("rtt camera");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/resample.html | HTML | mit | 2,574 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT Feedback History</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<script type="application/glsl" id="map-color">
uniform float modulate1;
uniform float modulate2;
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
vec4 color = (
getSample(xyz) +
getSample(xyz + vec3(0.0, 0.0, 1.0)) +
getSample(xyz + vec3(0.0, 0.0, 2.0)) +
getSample(xyz + vec3(0.0, 0.0, 3.0))
) / 4.0;
color = color * color * color * 1.15;
float v = color.x + color.y + color.z;
vec3 c = vec3(v*v + color.x * .2, v*v, v*v*v + color.z) * .333;
c = mix(c, mix(sqrt(c.yzx * c), c.zxy, modulate1), modulate2);
c = mix(c, mix(c.yzx, c.zxy, modulate1), modulate2);
return vec4(c, 1.0);
}
</script>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core"],
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
mathbox
.set({
scale: 720,
})
.rtt({
id: "render",
minFilter: "nearest",
magFilter: "nearest",
type: "unsignedByte",
})
.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
return [Math.cos(t) * 3, 0, Math.sin(t) * 3];
},
}
)
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
})
.transform({
scale: [0.7, 0.7, 0.7],
})
.grid({
width: 5,
divideX: 2,
divideY: 2,
zBias: 10,
opacity: 0.25,
color: 0xffdfe0,
})
.end()
.end()
.end()
.rtt({
id: "rtt1",
history: 4,
type: "unsignedByte",
minFilter: "linear",
magFilter: "linear",
})
.shader(
{
code: [
"uniform vec3 dataResolution;",
"uniform vec3 dataSize;",
"uniform float cosine;",
"uniform float sine;",
"vec4 getSample(vec3 xyz);",
"vec4 getFramesSample(vec3 xyz) {",
" vec2 pos = xyz.xy * dataResolution.xy - .5;",
" pos = ((pos * dataSize.xy) * mat2(cosine, sine, -sine, cosine) * .999) / dataSize.xy;",
" xyz.xy = (pos + .5) * dataSize.xy;",
" vec4 c = getSample(xyz + vec3( 0.0, 0.0, 1.0));",
" vec3 t = getSample(xyz + vec3( 0.0, 1.5, 0.0)).xyz;",
" vec3 b = getSample(xyz + vec3( 0.0,-1.5, 0.0)).xyz;",
" vec3 l = getSample(xyz + vec3(-1.5, 0.0, 0.0)).xyz;",
" vec3 r = getSample(xyz + vec3( 1.5, 0.0, 0.0)).xyz;",
" return vec4((t + b + l + r) / 2.0 - c.xyz, c.w);",
"}",
].join("\n"),
},
{
cosine: function (t) {
return Math.cos(Math.sin(t * 0.2) * 0.005);
},
sine: function (t) {
return Math.sin(Math.sin(t * 0.2) * 0.005);
},
}
)
.resample({
id: "resample1",
indices: 3,
channels: 4,
})
/**/
.compose()
.compose({
source: "#render",
blending: THREE.AdditiveBlending,
})
.end()
.rtt({
minFilter: "linear",
magFilter: "linear",
type: "unsignedByte",
})
.shader(
{
id: "colormap",
code: [
"uniform float modulate1;",
"uniform float modulate2;",
"uniform float modulate3;",
"uniform float modulate4;",
"vec4 getSample(vec3 xyz);",
"vec4 getFramesSample(vec3 xyz) {",
" vec4 color = (",
" getSample(xyz) +",
" getSample(xyz + vec3(0.0, 0.0, 1.0)) +",
" getSample(xyz + vec3(0.0, 0.0, 2.0)) +",
" getSample(xyz + vec3(0.0, 0.0, 3.0))",
" ) / 4.0;",
" color = color * color * color * 1.15;",
" float v = color.x + color.y + color.z;",
" vec3 c = vec3(v*v + color.x * .2, v*v, v*v*v + color.z) * .333;",
" c = mix(c, mix(sqrt(c.yzx * c), c.zxy, modulate1), modulate2);",
" c = mix(c, mix(c.yzx, c.zxy, modulate1), modulate2);",
" c = mix(c, mix(abs(sin(c.yxz * 2.0)), c.zyx, modulate3), modulate4);",
" return vec4(c, 1.0);",
"}",
].join("\n"),
},
{
modulate1: function (t) {
return Math.cos(t * 0.417) * 0.5 + 0.5;
},
modulate2: function (t) {
return Math.cos(t * 0.617 + Math.sin(t * 0.133)) * 0.5 + 0.5;
},
modulate3: function (t) {
return Math.cos(t * 0.217 + 2.0) * 0.5 + 0.5;
},
modulate4: function (t) {
return (
Math.cos(t * 0.117 + 3.0 + Math.sin(t * 0.133)) * 0.5 + 0.5
);
},
}
)
.resample({
id: "resample2",
source: "#rtt1",
indices: 3,
channels: 4,
})
.compose()
.end()
.shader({
code: [
"vec4 getSample(vec2 xy);",
"vec4 getFramesSample(vec2 xy) {",
" return getSample(xy + vec2(0.5, 0.5));",
"}",
].join("\n"),
})
.resample({
id: "resample3",
indices: 2,
channels: 4,
})
.compose({
source: "#resample2",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/resample2.html | HTML | mit | 6,285 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0.3, 0, 3);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
var rtt = mathbox.rtt({
type: "unsignedByte",
});
rtt[0].controller.rtt.camera.position.set(0.3, 0, 3);
rtt[0].controller.rtt.camera.lookAt(new THREE.Vector3());
rtt
.resample({
indices: 2,
shader: [
"vec4 getSample(vec2 xy);",
"vec4 getFramesSample(vec2 xy) { return getSample(xy); }",
].join("\n"),
})
.compose({
color: "#ffffff",
opacity: 0.98,
});
rtt
.cartesian({
range: [
[-1, 1],
[-1, 1],
],
})
.grid({
width: 3,
})
.grid({
width: 6,
opacity: 0.05,
})
.interval({
id: "sampler",
width: 64,
expr: function (emit, x, i) {
y = Math.sin(x + three.Time.now) * 0.7;
emit(x, y);
},
channels: 2,
})
.line({
points: "#sampler",
color: 0x3090ff,
width: 20,
});
mathbox.compose({});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/rtt.html | HTML | mit | 2,030 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Scale</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 1);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 720,
})
.cartesian({
range: [
[-2.4, 2.4],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.play({
pace: 5,
to: 3,
loop: true,
script: [
{
props: {
range: [
[-2.4, 2.4],
[-1, 1],
[-1, 1],
],
},
},
{
props: {
range: [
[-5.8, 5.8],
[-1, 1],
[-1, 1],
],
},
},
{
props: {
range: [
[-2.8, 8.8],
[-1, 1],
[-1, 1],
],
},
},
{
props: {
range: [
[-2.4, 2.4],
[-1, 1],
[-1, 1],
],
},
},
],
});
view.axis({
detail: 20,
end: true,
width: 5,
});
view.axis({
axis: 2,
end: true,
width: 5,
});
view.scale({
divide: 10,
});
view.point({
size: 10,
color: 0xff0000,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/scale.html | HTML | mit | 2,280 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Shader Block</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
mathbox.shader({
code:
"uniform float floatUniform; uniform int intUniform; uniform vec3 vec3Uniform;" +
"vec4 main(vec4 xyzw) { return xyzw; };",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/shader.html | HTML | mit | 1,133 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Multiple Sources</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script type="application/glsl" id="combine-samples">
// Two external sources
vec4 getSampleA(vec4 xyzw);
vec4 getSampleB(vec4 xyzw);
// Original resampled source (unused)
vec4 getSampleDummy(vec4 xyzw);
// Resample shader
vec4 getSample(vec4 xyzw) {
// Get two floats and multiply them
float a = getSampleA(vec4(xyzw.x, 0.0, 0.0, 0.0)).x;
float b = getSampleB(vec4(xyzw.y, 0.0, 0.0, 0.0)).x;
// Return as y value
return vec4(0.0, a * b, 0.0, 0.0);
}
</script>
<script>
// Initialize mathbox
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Cartesian box
view = mathbox
.set({
scale: 720,
focus: 5,
})
.camera({
proxy: true,
position: [2, 1, 3],
})
.cartesian({
range: [
[0, 1],
[0, 1],
[0, 1],
],
scale: [1, 2 / 3, 1],
});
view.axis({
axis: 1,
width: 3,
});
view.axis({
axis: 2,
width: 3,
});
view.axis({
axis: 3,
width: 3,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [1, 2],
zOrder: 1,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [2, 3],
zOrder: 1,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [1, 3],
zOrder: 1,
});
// Make 1D array of values
var array1 = view.interval({
width: 64,
channels: 1,
expr: function (emit, x, i, t) {
emit(Math.sin(x * 5 + t) * 0.5 + 0.5);
},
});
// Draw as curve on X axis
view
.swizzle({
order: "yx",
})
.spread({
unit: "relative",
alignWidth: "first",
width: [1, 0, 0],
})
.line({
width: 3,
color: 0x3090ff,
});
// Make 1D array of values
var array2 = view.interval({
id: "array2",
width: 64,
channels: 1,
expr: function (emit, x, i, t) {
emit(Math.cos(x * 5 - t) * 0.5 + 0.5);
},
});
// Draw as curve on Z axis
view
.swizzle({
order: "yx",
})
.spread({
unit: "relative",
alignWidth: "first",
width: [0, 0, 1],
})
.line({
width: 3,
color: 0x40a000,
});
view
// Make dummy 1x1 matrix
.matrix()
// Use resample shader to multiply two 1D arrays as X and Y.
.shader({
sources: [array1, "#array2"], // Array of selections and selectors
code: "#combine-samples",
})
.resample({
sample: "absolute",
width: 64,
height: 64,
})
// Spread values out on X and Z
.spread({
unit: "relative",
alignWidth: "first",
alignHeight: "first",
width: [1, 0, 0],
height: [0, 0, 1],
})
// Points and grid
.surface({
fill: false,
lineX: true,
lineY: true,
width: 1,
})
.point({
size: 2,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/sources.html | HTML | mit | 4,199 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Spherical Vectors</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body style="cursor: move">
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0.8, 1, 1.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.spherical(
{
bend: 1,
range: [
[-MathBox.π, MathBox.π],
[-MathBox.π / 2, MathBox.π / 2],
[0, 2],
],
scale: [2, 1, 1],
},
{
quaternion: function (t) {
t = Math.max(t - 3, 0) / 25;
t = t < 0.5 ? t * t : t - 0.25;
c = Math.cos(t);
s = Math.sin(t);
return [0, -s, 0, c];
},
}
);
view.area({
width: 32,
height: 16,
axes: [1, 2],
items: 2,
expr: function (emit, x, y, i, j, time) {
time = (time + 3) / 7;
t = time - 10;
var a = Math.sin(x * 31.718 - t) * Math.sin(y * 21.131 + time);
var b =
Math.sin(x * 27.41 + t) *
Math.sin(y * 11.91 + 5 * Math.cos(x * 4.1) + time);
var c = Math.sin(x * 26.718 - t) * Math.sin(y * 17.131 - x + time);
var o = 1 + 0.5 * (1 + Math.sin(Math.cos(t * 0.51 + x) + t / 16));
var f = 0.5 - 0.5 * Math.cos(Math.min(1, time / 11) * MathBox.π);
var g =
1 + 0.75 * (1 + Math.sin(Math.cos(time * 0.31 + y) + t / 11.1));
var r = f * g;
emit(x, y, o);
emit(x + a * r, y + b * r, o + c * r);
},
channels: 3,
});
view.lerp({
items: 32,
});
view.vector({
color: 0x3090ff,
width: 5,
end: true,
});
view.area({
width: 32,
height: 16,
axes: [1, 2],
items: 2,
expr: function (emit, x, y, i, j, time) {
time = (time + 3) / 7;
t = time + 10;
var a = Math.sin(x * 31.718 - t) * Math.sin(y * 21.131 + time);
var b =
Math.sin(x * 27.41 + t) *
Math.sin(y * 11.91 + 5 * Math.cos(x * 4.1) + time);
var c = Math.sin(x * 26.718 - t) * Math.sin(y * 17.131 - x + time);
var o = 1 + 0.5 * (1 + Math.sin(Math.cos(t * 0.51 + x) + t / 16));
var f = 0.5 - 0.5 * Math.cos(Math.min(1, time / 11) * MathBox.π);
var g =
1 + 0.85 * (1 + Math.sin(Math.cos(time * 0.31 + y) + t / 11.1));
var r = f * g;
emit(x, y, o);
emit(x + a * r, y + b * r, o + c * r);
},
channels: 3,
});
view.lerp({
items: 32,
});
view.vector({
color: 0x70bfff,
width: 5,
end: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/spherical.html | HTML | mit | 3,484 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Split</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-6, 6],
[-1, 1],
[-1, 1],
],
scale: [6, 1, 1],
});
view.interval({
width: 16,
expr: function (emit, x, i, time) {
var d = Math.sin(x + time);
emit(0.5);
emit(0.5 + d * 0.5);
emit(0.5 + d);
emit(0.5 + d * 1.5);
},
items: 4,
channels: 1,
});
view.swizzle({
order: "yx",
});
view.spread({
unit: "absolute",
width: [0.1, 0, 0, 0],
});
view.split({
axis: "items",
length: 2,
overlap: 1,
});
view.vector({
color: 0x3090ff,
width: 6,
start: true,
end: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/split.html | HTML | mit | 1,727 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Spread</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.camera({
proxy: true,
position: [2.3, 1, 2],
})
.cartesian({
range: [
[-6, 6],
[-1, 1],
[-1, 1],
],
scale: [6, 1, 1],
});
view.area({
width: 16,
height: 16,
expr: function (emit, x, y, i, j, t) {
var d = Math.sin(x + y + t);
emit(0);
emit(0.5 + d * 0.5);
},
items: 2,
channels: 1,
});
view.swizzle({
order: "yx",
});
view.spread({
unit: "absolute",
width: [0.1, 0, 0],
height: [0, 0, 0.25],
});
view.vector({
color: 0x3090ff,
width: 10,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/spread.html | HTML | mit | 1,649 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Stereographic</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 10);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
stereo = mathbox
.set({
focus: 10,
})
.stereographic({
scale: [2, 2, 2],
bend: 1,
});
q1 = new THREE.Quaternion();
q2 = new THREE.Quaternion();
spherical = stereo.spherical(
{
range: [
[-MathBox.π, MathBox.π],
[-MathBox.π / 2, MathBox.π / 2],
[-1, 1],
],
},
{
quaternion: function (t) {
q1.x = Math.cos(t * 0.123);
q1.y = Math.cos(t * 0.224 - 1);
q1.z = Math.cos(t * 0.161 + 1);
q1.w = Math.cos(t * 0.193 + 2);
q1.normalize();
q2.slerp(q1, 0.05);
return q2;
},
}
);
spherical
.transform({
position: [0, 0, 1],
})
.grid({
detailX: 128,
detailY: 128,
unitX: MathBox.π,
unitY: MathBox.π,
divideX: 20,
divideY: 20,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/stereographic.html | HTML | mit | 1,958 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - 4D Stereographic</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
// Init MathBox
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
// Set camera and background
three.camera.position.set(2.3, 1, 2);
three.camera.lookAt(new THREE.Vector3());
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Animation routine
time = 0;
first = true;
q1 = new THREE.Quaternion();
q2 = new THREE.Quaternion();
b1 = b2 = 0;
boing = 0;
three.on("update", function () {
time = three.Time.now;
// Slerp to oscillating target quaternion
q1.x = Math.cos(time * 0.123);
q1.y = Math.cos(time * 0.224 - 1);
q1.z = Math.cos(time * 0.161 + 1);
q1.w = Math.cos(time * 0.193 + 2);
q1.normalize();
q2.slerp(q1, 0.05);
if (first) q2.copy(q1);
first = false;
// Boing effect
f = 0.05;
b1 += (b2 - b1) * f;
b2 += (boing - b2) * f;
boing *= 0.995;
s = 0.7 + b1;
// Use slerped q as rotation
wrapper.set("quaternion", q2);
// Use target as projection offset
view.set("position", [q1.x * s, q1.y * s, q1.z * s, q1.w * s]);
});
// Boing onclick
three.bind("element.click", {
click: function () {
boing += 1;
},
});
// Stereographic 4D
wrapper = mathbox.transform();
view = wrapper
.stereographic4({
range: [
[-4, 4],
[-4, 4],
[-4, 4],
[-1, 1],
],
scale: [4, 4, 4, 1],
})
.transform4();
/// Grids
view
.transform4({
position: [1, 0, 0, 0],
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [0, 1, 0, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [0, 0, 1, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [-1, 0, 0, 0],
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 31,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [0, -1, 0, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [3, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [0, 0, -1, 0],
})
.grid({
axes: [1, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [2, 4],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [0, 0, 0, 1],
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
///
view
.transform4({
position: [0, 0, 0, -1],
})
.grid({
axes: [1, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [2, 3],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
})
.grid({
axes: [1, 2],
detailX: 75,
detailY: 75,
width: 2,
opacity: 0.5,
zBias: -60,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/stereographic4.html | HTML | mit | 7,054 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Strip</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
var three = mathbox.three;
three.camera.position.set(-0.5, 0.4, -1.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Mathbox view
var view = mathbox.cartesian({
range: [
[-1, 1],
[-0.5, 1.5],
[-1, 1],
],
scale: [1, 1, 1],
});
view.array({
width: 100,
items: 2,
channels: 2,
live: false, // expr is iterated once
expr: function (emit, i) {
emit((i / 100) * 2 - 1, 0);
emit((i / 100) * 2 - 1, Math.random());
},
});
view.repeat({
height: 2,
});
view.spread({
unit: "absolute",
height: [1.5 / 100, 0, 0],
});
view.join({
order: "wy",
});
view.strip({
color: 0xc05020,
shaded: false,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/strip.html | HTML | mit | 1,677 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Subdivide</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script type="application/glsl" id="blur-2d">
uniform vec2 dataSize;
vec4 getSample(vec2 xy);
vec4 getSmoothSample(vec2 xy) {
vec4 c = getSample(xy);
vec4 u = getSample(xy + vec2( 0.0, 1.0));
vec4 d = getSample(xy + vec2( 0.0, -1.0));
vec4 l = getSample(xy + vec2( 1.0, 0.0));
vec4 r = getSample(xy + vec2(-1.0, 0.0));
return (u + d + l + r + c) / 5.0;
}
</script>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(-3.5, 2.2, -3.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// Cartesian view
view = mathbox
.set({
focus: 3.5,
})
.cartesian({
range: [
[-3, 3],
[0, 1],
[-3, 3],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
// Three identical surfaces stacked above each other
view
.area({
width: 9,
height: 9,
axes: "xz",
expr: function (emit, x, z, i, j, time) {
var y =
0.25 *
(Math.sin(x * 1.25 + Math.sin(z + time) - time * 1.34) *
Math.sin(z * 1.17 - time * 0.79)) +
1;
emit(x, y - 0.66, z);
emit(x, y, z);
emit(x, y + 0.66, z);
},
channels: 3,
items: 3,
})
// Draw first surface
.group()
.slice({ items: [0, 1] })
.group()
.slice({ height: [0, 5] })
.surface({
fill: false,
lineX: true,
lineY: true,
color: 0xffafaf,
width: 2,
zBias: 3,
})
.end()
// Subdivide with near-invisible bevel to flat shade
.subdivide({
width: 3,
height: 3,
bevel: 0.001,
})
.surface({
shaded: true,
color: 0xffafaf,
})
.end()
// Draw second surface
.group()
.slice({ items: [1, 2] })
.group()
// Draw partial undivided wireframe
.slice({ height: [0, 5] })
.surface({
fill: false,
lineX: true,
lineY: true,
color: 0x5fcfff,
width: 2,
zBias: 3,
})
.end()
// Subdivide with fractional bevel to flat shade with rounded joins
.subdivide({
width: 3,
height: 3,
bevel: 1 / 3,
})
.surface({
shaded: true,
color: 0x5fcfff,
})
.group()
// Draw partial divided wireframe
.slice({ height: [0, 12] })
.surface({
fill: false,
lineX: true,
lineY: true,
color: 0x5fcfff,
width: 1,
opacity: 0.75,
zBias: 3,
})
.end()
.end()
// Draw third surface
.group()
.slice({ items: [2, 3] })
// Subdivide evenly
.subdivide({
width: 2,
height: 2,
})
// Memoize to cache data
.memo()
// Apply 2D blur to smooth mesh
// Clamp to ensure edge samples don't go out of bounds
.clamp()
.shader({
code: "#blur-2d",
})
.resample({
indices: 2,
})
// Memoize to cache data
.memo()
// Subdivide evenly
.subdivide({
width: 2,
height: 2,
})
// Memoize to cache data
.memo()
// Apply 2D blur to smooth mesh
// Clamp to ensure edge samples don't go out of bounds
.clamp()
.shader({
code: "#blur-2d",
})
.resample({
indices: 2,
})
// Memoize to cache data
.memo()
// Subdivide evenly
.subdivide({
width: 2,
height: 2,
})
// Memoize to cache data
.memo()
// Apply 2D blur to smooth mesh
// Clamp to ensure edge samples don't go out of bounds
.clamp()
.shader({
code: "#blur-2d",
})
.resample({
indices: 2,
})
// Memoize to cache data
.memo()
// Apply 2D blur to smooth mesh
// Clamp to ensure edge samples don't go out of bounds
.clamp()
.shader({
code: "#blur-2d",
})
.resample({
indices: 2,
})
// Draw surface and wire
.surface({
shaded: true,
color: 0x4fff0f,
})
.group()
// Draw partial divided wireframe
.slice({ height: [0, 33] })
.surface({
fill: false,
lineX: true,
lineY: true,
color: 0x4fff6f,
width: 1,
opacity: 0.75,
zBias: 3,
})
.end()
.group()
.resample({
shader: null,
size: "relative",
height: 1 / 8,
})
// Draw partial subsampled wireframe
.slice({ height: [0, 5] })
.line({
color: 0x4fff6f,
width: 2,
zBias: 3,
})
.end()
.group()
.transpose({
order: "yx",
})
.resample({
shader: null,
size: "relative",
height: 1 / 8,
})
// Draw partial subsampled wireframe
.slice({ width: [0, 33], height: [0, 5] })
.line({
color: 0x4fff6f,
width: 2,
zBias: 3,
})
.end()
.end();
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/subdivide.html | HTML | mit | 6,617 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Surface</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(-3.5, 2.2, -3.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-3, 3],
[0, 1],
[-3, 3],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
var sampler = view.area({
id: "sampler",
width: 64,
height: 64,
axes: [1, 3],
expr: function (emit, x, y, i, j, time) {
emit(x, 0.35 + 0.25 * (Math.sin(x + time) * Math.sin(y + time)), y);
emit(
x,
0.35 +
0.25 *
(Math.sin(x * 1.31 + time * 1.13) *
Math.sin(y * 1.46 - time * 0.94)) +
0.5,
y
);
emit(
x,
0.35 +
0.25 *
(Math.sin(x * 1.25 + Math.sin(y + time) - time * 1.34) *
Math.sin(y * 1.17 - time * 0.79)) +
1,
y
);
},
items: 3,
channels: 3,
});
var color = view
.matrix({
expr: function (emit, i, j, time) {
var r = 0.5 + Math.cos(time * 0.873) * j;
var g = 0.5 + Math.sin(time) * i;
var b = 1;
var m = g * 0.75;
var n = (r + g + b) / 3;
r = Math.max(r, m, n * n);
g = Math.max(g, m, n * n);
b = Math.max(b, m, n * n);
var rr = ((r * r + r * Math.sin(time * 0.354)) / 2) * 0.9;
var gg = b + (r + g) * 0.25 * Math.cos(time * 0.289);
var bb = g + r * 0.5 + b * 0.5;
rr = rr + (n - rr) * 0.75;
gg = gg + (n - gg) * 0.75;
bb = bb + (n - bb) * 0.75;
emit(0.4, 0.7, 1, 1);
emit(1, 1, 1, 1);
emit(rr, gg, bb, 1);
},
width: 2,
height: 2,
items: 3,
channels: 4,
})
.repeat({
id: "color",
});
view.surface({
shaded: true,
lineX: true,
lineY: true,
points: sampler,
colors: color,
color: 0xffffff,
width: 5,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/surface.html | HTML | mit | 3,200 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Raw Three.js</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>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/examples/js/controls/TrackballControls.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
var mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "mathbox"],
controls: {
// Orbit controls, i.e. Euler angles, with gimbal lock
klass: THREE.OrbitControls,
// Trackball controls, i.e. Free quaternion rotation
//klass: THREE.TrackballControls,
},
});
if (mathbox.fallback) throw "WebGL not supported";
var three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
var mesh = new THREE.Mesh(
new THREE.BoxGeometry(0.5, 0.5, 0.5),
new THREE.MeshNormalMaterial()
);
three.scene.add(mesh);
// Place camera
var camera = mathbox.camera({
proxy: true,
position: [0, 0, 3],
});
// 2D cartesian
var view = mathbox.cartesian({
range: [
[-2, 2],
[-1, 1],
],
scale: [2, 1],
});
// Axes + grid
view
.axis({
axis: 1,
width: 3,
})
.axis({
axis: 2,
width: 3,
})
.grid({
width: 2,
divideX: 20,
divideY: 10,
});
// Make axes black
mathbox.select("axis").set("color", "black");
// Calibrate focus distance for units
mathbox.set("focus", 3);
// Add some data
var data = view.interval({
expr: function (emit, x, i, t) {
emit(x, Math.sin(x + t));
},
width: 64,
channels: 2,
});
// Draw a curve
var curve = view.line({
width: 5,
color: "#3090FF",
});
// Draw some points
var points = view.point({
size: 8,
color: "#3090FF",
});
// Draw vectors
var vector = view
.interval({
expr: function (emit, x, i, t) {
emit(x, 0);
emit(x, -Math.sin(x + t));
},
width: 64,
channels: 2,
items: 2,
})
.vector({
end: true,
width: 5,
color: "#50A000",
});
// Draw ticks and labels
var scale = view.scale({
divide: 10,
});
var ticks = view.ticks({
width: 5,
size: 15,
color: "black",
});
var format = view.format({
digits: 2,
weight: "bold",
});
var labels = view.label({
color: "red",
zIndex: 1,
});
// Animate
var play = mathbox.play({
target: "cartesian",
pace: 5,
to: 2,
loop: true,
script: [
{
props: {
range: [
[-2, 2],
[-1, 1],
],
},
},
{
props: {
range: [
[-4, 4],
[-2, 2],
],
},
},
{
props: {
range: [
[-2, 2],
[-1, 1],
],
},
},
],
});
//*/
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/threejs.html | HTML | mit | 3,922 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Axis</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 45,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 720,
focus: 3,
})
.transform4({
matrix: [1, 0, 0, 0.577, 0, 1, 0, 0.577, 0, 0, 1, 0.577, 0, 0, 0, 1],
})
.cartesian4({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1, 1],
});
view.axis({
end: true,
width: 5,
});
view.axis({
axis: 2,
end: true,
width: 5,
});
view.axis({
axis: 3,
end: true,
width: 5,
});
view.axis({
axis: 4,
end: true,
width: 5,
});
view.scale({
divide: 10,
});
view.ticks({
width: 5,
size: 15,
classes: ["foo", "bar"],
color: "red",
zBias: 1,
});
view.scale({
axis: 2,
divide: 5,
});
view.ticks({
width: 5,
size: 15,
classes: ["foo", "bar"],
color: "green",
zBias: 2,
});
view.scale({
axis: 3,
divide: 5,
});
view.ticks({
width: 5,
size: 15,
classes: ["foo", "bar"],
color: "blue",
zBias: 3,
});
view.scale({
axis: 4,
divide: 5,
});
view.ticks({
width: 5,
size: 15,
classes: ["foo", "bar"],
color: "purple",
zBias: 4,
});
var depthObj = mathbox.select("axis");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/ticks.html | HTML | mit | 2,526 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Transition</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(-3.5, 2.2, -3.3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
function pingpong(t) {
return Math.sin(t);
}
time = 0;
three.on("update", function () {
time = three.Time.clock;
var enter = Math.min(1, 1 + pingpong(time));
var exit = Math.min(1, 1 - pingpong(time));
enter = 1.0 - Math.pow(1.0 - enter, 2);
exit = 1.0 - Math.pow(1.0 - exit, 2);
move.set({ enter: enter, exit: exit });
reveal.set({ enter: enter, exit: exit });
});
view = mathbox.cartesian({
range: [
[-3, 3],
[0, 1],
[-3, 3],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
var sampler = view.area({
id: "sampler",
width: 64,
height: 64,
axes: [1, 3],
expr: function (emit, x, y, i, j) {
emit(x, 0.35 + 0.25 * (Math.sin(x + time) * Math.sin(y + time)), y);
emit(
x,
0.35 +
0.25 *
(Math.sin(x * 1.31 + time * 1.13) *
Math.sin(y * 1.46 - time * 0.94)) +
0.5,
y
);
emit(
x,
0.35 +
0.25 *
(Math.sin(x * 1.25 + Math.sin(y + time) - time * 1.34) *
Math.sin(y * 1.17 - time * 0.79)) +
1,
y
);
},
items: 3,
channels: 3,
});
view
.matrix({
expr: function (emit, i, j) {
var r = 0.5 + Math.cos(time * 0.873) * j;
var g = 0.5 + Math.sin(time) * i;
var b = 1;
var m = g * 0.75;
var n = (r + g + b) / 3;
r = Math.max(r, m, n * n);
g = Math.max(g, m, n * n);
b = Math.max(b, m, n * n);
var rr = ((r * r + r * Math.sin(time * 0.354)) / 2) * 0.9;
var gg = b + (r + g) * 0.25 * Math.cos(time * 0.289);
var bb = g + r * 0.5 + b * 0.5;
rr = rr + (n - rr) * 0.75;
gg = gg + (n - gg) * 0.75;
bb = bb + (n - bb) * 0.75;
emit(0.4, 0.7, 1, 1);
emit(1, 1, 1, 1);
emit(rr, gg, bb, 1);
},
width: 2,
height: 2,
items: 3,
channels: 4,
})
.repeat({
id: "color",
});
var move = view.move({
stagger: [1, 0, 0, 0],
from: [1, 0, 0, 0],
to: [-1, 0, 0, 0],
pass: "data",
});
var reveal = move.reveal({
stagger: [1, 0, 0, 0],
});
reveal.surface({
shaded: true,
points: sampler,
colors: "#color",
color: 0xffffff,
width: 5,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/transition.html | HTML | mit | 3,829 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Surface</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.85, 3.84, -1.8);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-3, 3],
[-0.5, 1],
[-3, 3],
],
scale: [2, 1, 2],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
view.area({
id: "sampler",
width: 33,
height: 33,
axes: [1, 3],
expr: function (emit, x, z, i, j, t) {
var y1 = 0.75 + 0.5 * (Math.sin(x + t) * Math.sin(z + t));
var y2 =
0.5 +
0.5 *
(Math.sin(x * 1.25 + Math.sin(z + t) - t * 1.34) *
Math.sin(z * 1.17 - t * 0.79));
emit(x, y1, z);
emit(x, y2, z);
},
items: 2,
channels: 3,
});
view.transpose({
order: "wxyz",
});
view.lerp({
height: 65,
});
view.surface({
shaded: true,
color: 0x3090ff,
width: 5,
});
view.surface({
fill: false,
lineY: true,
color: 0x3090ff,
width: 5,
zBias: 1,
});
view.transpose({
source: "#sampler",
order: "wyxz",
});
view.lerp({
height: 65,
});
view.surface({
shaded: true,
color: 0x3090ff,
width: 5,
});
view.surface({
shaded: true,
fill: false,
lineY: true,
color: 0x3090ff,
width: 5,
zBias: 1,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/transpose.html | HTML | mit | 2,499 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Vector</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
camera: {
fov: 30,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 6);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.set("focus", 6).cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
});
view.interval({
id: "sampler",
width: 64,
expr: function (emit, x, i, t) {
y =
Math.sin(x + t) +
(i % 2) * Math.sin(x * 400000 + t * 5 + x * x * 10000) * 0.05;
emit(x, y);
emit(x, -y);
},
items: 2,
channels: 2,
});
view.vector({
points: "#sampler",
color: 0x3090ff,
width: 4,
start: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/vector.html | HTML | mit | 1,605 |
<!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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../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>
| cchudzicki/mathbox | examples/test/vertex.html | HTML | mit | 4,489 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Vertex Color</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor", "stats"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox
.set({
scale: 720,
focus: 5,
})
.camera({
proxy: true,
position: [2, 1, 3],
})
.cartesian({
range: [
[0, 1],
[0, 1],
[0, 1],
],
scale: [1, 2 / 3, 1],
});
view.axis({
axis: 1,
width: 3,
});
view.axis({
axis: 2,
width: 3,
});
view.axis({
axis: 3,
width: 3,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [1, 2],
zOrder: 1,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [2, 3],
zOrder: 1,
});
view.grid({
width: 2,
opacity: 0.5,
axes: [1, 3],
zOrder: 1,
});
var remap = function (v) {
return Math.sqrt(0.5 + 0.5 * v);
};
var points = view.area({
expr: function (emit, x, z, i, j, t) {
var y =
remap(Math.sin(x * 5 + t + Math.sin(z * 3.41 + x * 1.48))) *
remap(Math.sin(z * 5 + t + Math.cos(x * 3.22 + z)));
emit(x, y, z);
},
width: 32,
height: 32,
channels: 3,
axes: [1, 3],
});
var colors = view.area({
expr: function (emit, x, z, i, j, t) {
var y =
remap(Math.sin(x * 5 + t + Math.sin(z * 3.41 + x * 1.48))) *
remap(Math.sin(z * 5 + t + Math.cos(x * 3.22 + z)));
var r = Math.sin(y * 4) + y * y * y;
var g = (0.5 - 0.5 * Math.cos(y * 3) + y * y) * 0.85;
var b = y;
emit(r, g, b, 1.0);
},
width: 32,
height: 32,
channels: 4,
axes: [1, 3],
});
view.surface({
shaded: true,
points: "<<",
colors: "<",
color: 0xffffff,
});
view.surface({
fill: false,
lineX: true,
lineY: true,
points: "<<",
colors: "<",
color: 0xffffff,
width: 2,
blending: "add",
opacity: 0.25,
zBias: 5,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/vertexcolor.html | HTML | mit | 3,072 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - RTT Vertex Feedback</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<script type="application/glsl" id="map-rotate">
uniform vec3 dataResolution;
uniform vec3 dataSize;
const float COS = .995;
const float SIN = .01;
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
vec2 pos = xyz.xy * dataResolution.xy - .5;
pos = ((pos * vec2(16.0, 9.0)) * mat2(COS, SIN, -SIN, COS) * .99) / vec2(16.0, 9.0);
xyz.xy = (pos + .5) * dataSize.xy;
return getSample(xyz) - .01;
}
</script>
<script type="application/glsl" id="map-temporal-blur">
vec4 getSample(vec3 xyz);
vec4 getFramesSample(vec3 xyz) {
vec4 color = (
getSample(xyz) +
getSample(xyz + vec3(0.0, 0.0, 1.0)) +
getSample(xyz + vec3(0.0, 0.0, 2.0)) +
getSample(xyz + vec3(0.0, 0.0, 3.0))
) / 4.0;
float v = color.x + color.y + color.z;
return vec4(vec3(v * v) / 8.0, 1.0);
}
</script>
<script type="application/glsl" id="map-xy-to-xyz">
vec3 getSample(vec3 xyz);
vec3 getFramesSample(vec3 xyz) {
vec3 c = getSample(xyz);
vec2 uv = (xyz.xy - vec2(32.0, 18.0)) / vec2(32.0, 18.0) * vec2(16.0 / 9.0, 1.0);
float f = xyz.z * 2.0 - 1.0;
return vec3(uv, (c.x + c.y + c.z) * .1 * f);
}
</script>
<script type="application/glsl" id="map-z-to-color">
vec4 getSample(vec2 xy);
vec4 getFramesSample(vec2 xy) {
vec4 c = getSample(xy);
return vec4(c.z * vec3(c.z * vec2(c.z, 1.0), 1.0), 1.0);
}
</script>
<script type="application/glsl" id="map-z-to-color-2">
vec4 getSample(vec2 xy);
vec4 getFramesSample(vec2 xy) {
vec4 c = getSample(xy);
vec3 rgb = (c.z * vec3(c.z * vec2(c.z, 1.0), 1.0));
return vec4(sqrt(rgb.yxz) + .2, 1.0);
}
</script>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "cursor"],
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
gl = three.renderer.getContext();
mathbox
.set({
scale: 720,
})
.camera({
position: [0.3, 0.1, 2],
})
.rtt({
id: "render",
width: 64 * 4,
height: 36 * 4,
type: "unsignedByte",
minFilter: "nearest",
magFilter: "nearest",
})
.camera(
{
lookAt: [0, 0, 0],
},
{
position: function (t) {
time = t * 1.5;
x = Math.cos(time) * 3;
z = Math.sin(time) * 3;
y = Math.sin(time * 0.341) * 3;
return [x, (x + z) * 0.2 + y, z];
},
}
)
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
})
.transform({
scale: [0.7, 0.7, 0.7],
})
.grid({
divideX: 4,
divideY: 4,
zBias: 10,
opacity: 0.25,
color: 0xffdfe0,
width: 10,
})
.end()
.end()
.end()
.rtt({
id: "rtt1",
history: 4,
width: 64 * 4,
height: 36 * 4,
type: "unsignedByte",
})
.shader({
code: "#map-rotate",
})
.resample({
id: "resample1",
indices: 3,
channels: 4,
})
.compose({
color: "#ffffff",
zWrite: false,
})
.compose({
source: "#render",
blending: THREE.AdditiveBlending,
color: "#ffffff",
zWrite: false,
})
.end()
.rtt({
id: "rtt2",
width: 64 * 4,
height: 36 * 4,
type: "unsignedByte",
})
.shader({
code: "#map-temporal-blur",
})
.resample({
id: "resample2",
source: "#rtt1",
indices: 3,
channels: 4,
})
.compose({
color: "#fff",
zWrite: false,
})
.end()
.resample({
width: 65,
height: 37,
})
.repeat({
depth: 2,
id: "lerp",
})
.shader({
code: "#map-xy-to-xyz",
})
.resample({
indices: 3,
channels: 3,
})
.transpose({
order: "xywz",
id: "transpose",
})
.transpose({
source: "#lerp",
order: "xywz",
id: "color",
})
.shader({
code: "#map-z-to-color",
})
.resample({
source: "#lerp",
id: "color1",
indices: 2,
channels: 4,
})
.shader({
code: "#map-z-to-color-2",
})
.resample({
source: "#lerp",
id: "color2",
indices: 2,
channels: 4,
})
.cartesian(
{
range: [
[-16 / 9 - 0.001, 16 / 9 + 0.001],
[-1, 1],
[-1, 1],
],
scale: [16 / 9, 1, 1],
},
{
quaternion: function (t) {
time = t / 3;
c = Math.cos(time / 4);
s = Math.sin(time / 4);
c2 = Math.cos(time / 11.71) * 1.71;
s2 = Math.sin(time / 11.71) * 1.71;
return [s * s2, s * c2, 0, c];
},
}
)
.vector({
points: "#transpose",
colors: "#color1",
color: "#ffffff",
start: false,
end: false,
width: 20,
opacity: 0.15,
blending: "add",
zWrite: false,
})
.point({
points: "#transpose",
colors: "#color2",
color: "#ffffff",
size: 5,
zBias: 5,
});
grid = mathbox.select("grid:nth-of-type(2)");
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/vertexfeedback.html | HTML | mit | 6,467 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Visible</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0, 3);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
mathbox.set({
focus: 3,
});
mathbox
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
visible: false,
})
.axis({
detail: 30,
color: "red",
})
.group({
visible: true, // inert
})
.grid({
divideX: 30,
width: 1,
opacity: 0.5,
zBias: -5,
color: "red",
});
mathbox
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
visible: true,
})
.transform({
position: [0, 0.1, 0.1],
})
.axis({
detail: 30,
color: "green",
})
.group({
visible: false,
})
.grid({
divideX: 30,
width: 1,
opacity: 0.5,
zBias: -5,
color: "red",
});
mathbox
.cartesian({
range: [
[-2, 2],
[-1, 1],
[-1, 1],
],
scale: [2, 1, 1],
visible: true,
})
.transform({
position: [0, -0.1, -0.1],
})
.axis({
detail: 30,
color: "green",
})
.group({
visible: true,
})
.grid({
divideX: 30,
width: 1,
opacity: 0.5,
zBias: -5,
color: "green",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/visible.html | HTML | mit | 2,519 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - Voxelbuffer</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
mathbox.set({ scale: 500, focus: 1 });
view = mathbox
.camera({
proxy: true,
position: [-1.2, 0.4, -1.1],
})
.cartesian(
{
range: [
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [1, 1, 1],
},
{
quaternion: function (t) {
return [0, -Math.sin(t / 8), 0, Math.cos(t / 8)];
},
}
);
view
.transform({
position: [0, -1, 0],
})
.grid({
axes: [1, 3],
width: 2,
depth: 1,
color: 0xffffff,
opacity: 0.5,
blending: THREE.AdditiveBlending,
})
.axis({
axis: 1,
end: true,
width: 3,
depth: 1,
color: 0xffffff,
opacity: 0.5,
zBias: -1,
blending: THREE.AdditiveBlending,
})
.axis({
axis: 3,
end: true,
width: 3,
depth: 1,
color: 0xffffff,
opacity: 0.5,
zBias: -1,
blending: THREE.AdditiveBlending,
});
view.axis({
axis: 2,
end: true,
width: 3,
depth: 1,
color: 0xffffff,
opacity: 0.5,
zBias: -1,
blending: THREE.AdditiveBlending,
});
view
.transform({
position: [0, 1, 0],
})
.grid({
axes: [1, 3],
width: 2,
depth: 1,
color: 0xffffff,
opacity: 0.5,
blending: THREE.AdditiveBlending,
});
view.volume({
width: 28,
height: 28,
depth: 28,
expr: function (emit, x, y, z, i, j, k, t) {
var u = Math.cos((i + j * j + k * k * k) * 100.681 + t) * 0.05;
var v = Math.cos((i * i * i + j + k * k) * 120.681 + t) * 0.05;
var w = Math.cos((i * i + j * j * j + k) * 140.681 + t) * 0.05;
emit(x, y, z);
emit(x + u, y + v, z + w);
},
items: 2,
channels: 3,
});
view.vector({
color: 0x3090ff,
width: 1,
size: 4,
end: true,
zWrite: false,
blending: THREE.AdditiveBlending,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/volume.html | HTML | mit | 3,219 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - World Transform</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 1, 4);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian(
{
range: [
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [0.5, 0.5, 0.5],
quaternion: [0.866, 0, 0, -0.5],
},
{
quaternion: function (t) {
return [0, Math.cos(t), 0, Math.sin(t)];
},
}
);
view
.transform({
position: [1.5, 0, 0],
})
.grid({
width: 5,
color: "green",
});
view
.transform({
position: [-2, 0, 0],
})
.grid({
width: 5,
color: "green",
});
view
.transform({
pass: "world",
position: [2, 0, 0],
})
.grid({
width: 5,
color: "red",
});
view
.transform({
pass: "world",
position: [-1.5, 0, 0],
})
.grid({
width: 5,
color: "red",
});
view
.transform({
pass: "eye",
position: [1, 0, 0],
})
.grid({
width: 5,
color: "blue",
});
view
.transform({
pass: "eye",
position: [-1, 0, 0],
})
.grid({
width: 5,
color: "blue",
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/world.html | HTML | mit | 2,291 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - XYZW Test</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-6, 6],
[-1, 1],
[-1, 1],
],
scale: [6, 1, 1],
});
view.interval({
width: 128,
expr: function (emit, x, i, time) {
var d = Math.sin((x + time) * 2);
emit(x, 0);
emit(x, d * 0.5);
},
items: 2,
channels: 2,
});
view.line({
color: 0x3090ff,
width: 10,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/xyzw.html | HTML | mit | 1,407 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - zOrder</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>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["core", "controls", "cursor"],
controls: {
klass: THREE.OrbitControls,
},
});
three = mathbox.three;
three.camera.position.set(2.3, 1, 2);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
view = mathbox.cartesian({
range: [
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [1, 1, 1],
});
// Left: Draw in document order, front-to-back, with incorrect occlusion
view
.transform({
position: [-1.1, 0, 0],
})
.area({
width: 2,
height: 2,
})
.transform({
position: [0, 0, 0.2],
})
.surface({
opacity: 0.5,
color: "#c04000",
})
.end()
.transform({
position: [0, 0, 0],
})
.surface({
opacity: 0.5,
color: "#40c000",
})
.end()
.transform({
position: [0, 0, -0.2],
})
.surface({
opacity: 0.5,
color: "#3090ff",
})
.end();
// Right: Draw in manual order, back-to-front, with correct occlusion from front side
view
.transform({
position: [1.1, 0, 0],
})
.area({
width: 2,
height: 2,
})
.transform({
position: [0, 0, 0.2],
})
.surface({
opacity: 0.5,
color: "#c04000",
zOrder: 3,
})
.end()
.transform({
position: [0, 0, 0],
})
.surface({
opacity: 0.5,
color: "#40c000",
zOrder: 2,
})
.end()
.transform({
position: [0, 0, -0.2],
})
.surface({
opacity: 0.5,
color: "#3090ff",
zOrder: 1,
})
.end();
</script>
</body>
</html>
| cchudzicki/mathbox | examples/test/zorder.html | HTML | mit | 2,587 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - VR</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["VR", "ui", "controls"],
controls: {
klass: THREE.VRControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0.003, 0.01);
three.renderer.setClearColor(new THREE.Color(0xffffff), 1.0);
// three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
time = 0;
three.on("update", function () {
time = three.Time.clock;
});
view = mathbox
.unit({
scale: 720,
})
.cartesian({
range: [
[-3, 3],
[0, 1],
[-3, 3],
],
scale: [0.5, 0.25, 0.5],
position: [0, -0.5, -1.5],
quaternion: [0, 0.923, 0, 0.382],
});
view.axis({
axis: 1,
});
view.axis({
axis: 3,
});
view.grid({
width: 5,
opacity: 0.5,
axes: [1, 3],
});
view.area({
width: 64,
height: 64,
axes: [1, 3],
expr: function (emit, x, y, i, j) {
emit(x, 0.25 + 0.25 * (Math.sin(x + time) * Math.sin(y + time)), y);
emit(
x,
0.25 +
0.25 *
(Math.sin(x * 1.31 + time * 1.13) *
Math.sin(y * 1.46 - time * 0.94)) +
0.5,
y
);
emit(
x,
0.25 +
0.25 *
(Math.sin(x * 1.25 + Math.sin(y + time) - time * 1.34) *
Math.sin(y * 1.17 - time * 0.79)) +
1,
y
);
},
items: 3,
channels: 3,
});
view.surface({
color: 0x3090ff,
width: 2,
shaded: true,
lineX: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/vr/surface.html | HTML | mit | 2,292 |
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8" />
<title>MathBox - VR</title>
<script
type="text/javascript"
src="https://cdn.jsdelivr.net/npm/three@0.137.0/build/three.min.js"
></script>
<script src="../../build/bundle/mathbox.js"></script>
<link rel="stylesheet" href="../../build/mathbox.css" />
<meta name="viewport" content="initial-scale=1, maximum-scale=1" />
</head>
<body>
<script>
mathbox = MathBox.mathBox({
plugins: ["VR", "ui", "controls"],
controls: {
klass: THREE.VRControls,
},
});
three = mathbox.three;
three.camera.position.set(0, 0.003, 0.01);
three.renderer.setClearColor(new THREE.Color(0x000000), 1.0);
var rad = 1000;
var mag = 0.01;
var v = new THREE.Vector3();
var r = new THREE.Vector3();
var q = new THREE.Vector3();
var m = new THREE.Vector3(0, rad, 0);
var l = 0;
var expression = function (emit, x, y, z, i, j, k) {
// dipole magnetic field
r.set(x, y, z);
l = r.length();
r.multiplyScalar(1 / l);
r.multiplyScalar(3 * r.dot(m))
.sub(m)
.multiplyScalar(1 / (l * l * l));
// perceptual scaling
q.copy(r);
l = q.length();
q.normalize();
q.multiplyScalar(Math.max(Math.log(l) + 1, 0) * mag);
r.copy(q);
emit(x, y, z);
emit(x + r.x, y + r.y, z + r.z);
};
three.on("update", function () {
t = Math.max(three.Time.clock, 0) / 50;
t = t < 0.5 ? t * t : t - 0.25;
t += 1;
c = Math.cos(t);
s = Math.sin(t);
if (!three.VR.active) view.set("quaternion", [0, -s, 0, c]);
else view.set("quaternion", [0, 0.866, 0, 0.5]);
t = Math.max(three.Time.clock, 0) / 3;
t = t < 0.5 ? t * t : t - 0.25;
f = Math.cos(
t +
Math.sin(t * 1.31 - Math.cos(t * 0.818)) +
Math.cos(t * 0.91 - Math.cos(t * 1.273))
);
g = Math.sin(
t -
Math.sin(t * 1.52 - Math.cos(t * 1.19)) +
Math.cos(t * 0.77 - Math.cos(t * 1.136))
);
h = Math.sin(
t +
Math.cos(t * 1.82 - Math.cos(t * 1.35)) +
Math.cos(t * 0.85 - Math.cos(t * 0.974))
);
v.set(f, g, h);
v.normalize();
v.multiplyScalar(rad);
m.multiplyScalar(0.9);
v.multiplyScalar(0.1);
m.add(v);
});
view = mathbox
.unit({
scale: 720,
})
.cartesian({
range: [
[-1, 1],
[-1, 1],
[-1, 1],
],
scale: [1, 1, 1],
position: [0, -0.25, -3],
});
view
.transform({
position: [0, -1, 0],
scale: [5, 1, 5],
})
.grid({
axes: [1, 3],
width: 2,
depth: 1,
color: 0xffffff,
opacity: 0.25,
blending: THREE.AdditiveBlending,
});
view
.transform({
position: [0, -1, 0],
})
.axis({
axis: 1,
end: true,
width: 3,
depth: 1,
size: 5,
color: 0xffffff,
opacity: 0.25,
zBias: -1,
blending: THREE.AdditiveBlending,
});
view.axis({
axis: 2,
end: true,
width: 3,
depth: 1,
size: 5,
color: 0xffffff,
opacity: 0.25,
zBias: -1,
blending: THREE.AdditiveBlending,
});
view.transform({
position: [0, -1, 0],
});
view.axis({
axis: 3,
end: true,
width: 3,
depth: 1,
size: 5,
color: 0xffffff,
opacity: 0.25,
zBias: -1,
blending: THREE.AdditiveBlending,
});
view.volume({
id: "sampler",
width: 12,
height: 12,
depth: 12,
expr: expression,
items: 2,
channels: 3,
});
view.vector({
color: 0x3090ff,
width: 6,
depth: 1,
size: 2,
end: true,
zWrite: false,
blending: THREE.AdditiveBlending,
});
view.array({
width: 1,
expr: function (emit, i) {
emit(0, 0, 0);
emit(m.x / 2000, m.y / 2000, m.z / 2000);
},
items: 2,
channels: 3,
});
view.vector({
color: 0xc05020,
width: 10,
depth: 1,
size: 4,
end: true,
});
</script>
</body>
</html>
| cchudzicki/mathbox | examples/vr/vector.html | HTML | mit | 4,659 |
const gulp = require("gulp");
const eslint = require("gulp-eslint");
const concat = require("gulp-concat");
const builds = {
css: "build/mathbox.css",
};
const css = ["node_modules/shadergraph/build/*.css", "src/**/*.css"];
gulp.task("css", function () {
return gulp.src(css).pipe(concat(builds.css)).pipe(gulp.dest("./"));
});
gulp.task("lint", function () {
return (
gulp
// Define the source files
.src("src/**/*.js")
.pipe(eslint({}))
// Output the results in the console
.pipe(eslint.format())
);
});
| cchudzicki/mathbox | gulpfile.js | JavaScript | mit | 552 |
module.exports = function (config) {
config.set({
browsers: ["Chrome"],
files: [
"./build_testing/spec_bundle.js",
"node_modules/shadergraph/build/*.css",
"./src/splash.css",
],
frameworks: ["jasmine"],
autoWatch: true,
singleRun: false,
reporters: ["progress"],
port: 9876,
// If browser does not capture in given timeout [ms], kill it
captureTimeout: 60000,
});
};
| cchudzicki/mathbox | karma.conf.js | JavaScript | mit | 429 |
{
"name": "mathbox",
"version": "2.1.1-dev",
"lockfileVersion": 2,
"requires": true,
"packages": {
"": {
"name": "mathbox",
"version": "2.1.1-dev",
"license": "MIT",
"dependencies": {
"css-select": "^4.2.1",
"shadergraph": "^2.1.3",
"threestrap": "^0.4.1"
},
"devDependencies": {
"@types/jasmine": "^3.10.3",
"@typescript-eslint/eslint-plugin": "^5.14.0",
"@typescript-eslint/parser": "^5.14.0",
"concurrently": "^7.0.0",
"eslint": "^7.28.0",
"eslint-plugin-jasmine": "^4.1.2",
"gulp": "^4.0.2",
"gulp-concat": "^2.6.1",
"gulp-eslint": "^6.0.0",
"jasmine-core": "^3.7.1",
"karma": "^6.3.3",
"karma-chrome-launcher": "^3.1.0",
"karma-jasmine": "^4.0.1",
"prettier": "2.3.1",
"ts-loader": "^9.2.8",
"typedoc": "^0.22.13",
"typescript": "^4.6.2",
"webpack": "^5.38.1",
"webpack-cli": "^4.9.2"
},
"peerDependencies": {
"three": ">=0.118.0"
}
},
"node_modules/@babel/code-frame": {
"version": "7.12.11",
"resolved": "https://registry.npmjs.org/@babel/code-frame/-/code-frame-7.12.11.tgz",
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"dev": true,
"dependencies": {
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}
},
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},
"engines": {
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}
},
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"escape-string-regexp": "^1.0.5",
"supports-color": "^5.3.0"
},
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}
},
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"dev": true,
"dependencies": {
"color-name": "1.1.3"
}
},
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},
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}
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"strip-json-comments": "^3.1.1"
},
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}
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"debug": "^4.1.1",
"minimatch": "^3.0.4"
},
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}
},
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},
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}
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"glsl-tokenizer": "^2.1.4"
}
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"engines": {
"node": ">= 0.6.0"
}
},
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"string-width": "^1.0.2",
"which-module": "^1.0.0",
"y18n": "^3.2.1",
"yargs-parser": "^5.0.1"
},
"dependencies": {
"ansi-regex": {
"version": "2.1.1",
"resolved": "https://registry.npmjs.org/ansi-regex/-/ansi-regex-2.1.1.tgz",
"integrity": "sha1-w7M6te42DYbg5ijwRorn7yfWVN8=",
"dev": true
},
"is-fullwidth-code-point": {
"version": "1.0.0",
"resolved": "https://registry.npmjs.org/is-fullwidth-code-point/-/is-fullwidth-code-point-1.0.0.tgz",
"integrity": "sha1-754xOG8DGn8NZDr4L95QxFfvAMs=",
"dev": true,
"requires": {
"number-is-nan": "^1.0.0"
}
},
"string-width": {
"version": "1.0.2",
"resolved": "https://registry.npmjs.org/string-width/-/string-width-1.0.2.tgz",
"integrity": "sha1-EYvfW4zcUaKn5w0hHgfisLmxB9M=",
"dev": true,
"requires": {
"code-point-at": "^1.0.0",
"is-fullwidth-code-point": "^1.0.0",
"strip-ansi": "^3.0.0"
}
},
"strip-ansi": {
"version": "3.0.1",
"resolved": "https://registry.npmjs.org/strip-ansi/-/strip-ansi-3.0.1.tgz",
"integrity": "sha1-ajhfuIU9lS1f8F0Oiq+UJ43GPc8=",
"dev": true,
"requires": {
"ansi-regex": "^2.0.0"
}
}
}
},
"yargs-parser": {
"version": "5.0.1",
"resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-5.0.1.tgz",
"integrity": "sha512-wpav5XYiddjXxirPoCTUPbqM0PXvJ9hiBMvuJgInvo4/lAOTZzUprArw17q2O1P2+GHhbBr18/iQwjL5Z9BqfA==",
"dev": true,
"requires": {
"camelcase": "^3.0.0",
"object.assign": "^4.1.0"
}
}
}
}
| cchudzicki/mathbox | package-lock.json | JSON | mit | 589,894 |
{
"name": "mathbox",
"version": "2.1.1-dev",
"description": "Presentation-quality WebGL math graphing",
"repository": {
"type": "git",
"url": "https://gitgud.io/unconed/mathbox"
},
"module": "./build/esm/index.js",
"exports": {
"import": "./build/esm/index.js"
},
"main": "./build/esm/index.js",
"types": "./build/esm/types.d.ts",
"files": [
"src",
"build",
"*.md",
"FUNDING.yml"
],
"scripts": {
"typedoc": "npx typedoc --options ./config/typedoc.json",
"build:bundle": "webpack --config config/webpack.config.js",
"build:module": "tsc",
"build": "concurrently 'npm run build:bundle' 'npm run build:module' 'gulp css'",
"docs": "npx webpack --config config/webpack.config.docs.js && node build_docs/generate.js > docs/primitives.md",
"test": "webpack --config config/webpack.config.testing.js && karma start --single-run",
"test:watch": "concurrently 'webpack --watch --config config/webpack.config.testing.js' 'karma start'"
},
"prettier": {},
"dependencies": {
"css-select": "^4.2.1",
"shadergraph": "^2.1.3",
"threestrap": "^0.4.1"
},
"peerDependencies": {
"three": ">=0.118.0"
},
"devDependencies": {
"@types/jasmine": "^3.10.3",
"@typescript-eslint/eslint-plugin": "^5.14.0",
"@typescript-eslint/parser": "^5.14.0",
"concurrently": "^7.0.0",
"eslint": "^7.28.0",
"eslint-plugin-jasmine": "^4.1.2",
"gulp": "^4.0.2",
"gulp-concat": "^2.6.1",
"gulp-eslint": "^6.0.0",
"jasmine-core": "^3.7.1",
"karma": "^6.3.3",
"karma-chrome-launcher": "^3.1.0",
"karma-jasmine": "^4.0.1",
"prettier": "2.3.1",
"ts-loader": "^9.2.8",
"typedoc": "^0.22.13",
"typescript": "^4.6.2",
"webpack": "^5.38.1",
"webpack-cli": "^4.9.2"
},
"author": "Steven Wittens",
"license": "MIT",
"keywords": [
"mathbox",
"threejs",
"visualizations",
"mathematics",
"webgl"
]
}
| cchudzicki/mathbox | package.json | JSON | mit | 1,963 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS102: Remove unnecessary code created because of implicit returns
* DS206: Consider reworking classes to avoid initClass
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
import * as Model from "./model";
import * as Overlay from "./overlay";
import * as Primitives from "./primitives";
import * as Render from "./render";
import * as Shaders from "./shaders";
import * as Stage from "./stage";
import * as Util from "./util";
import { PerspectiveCamera } from "three/src/cameras/PerspectiveCamera.js";
export class Context {
static initClass() {
// Export for extending. TODO what is the story here, what is this syntax?
this.Namespace = {
Model,
Overlay,
Primitives,
Render,
Shaders,
Stage,
Util,
DOM: Util.VDOM,
};
}
//-------------------------------------------------------------------
// Set up entire environment
constructor(renderer, scene = null, camera = null) {
// DOM container
let canvas;
this.canvas = canvas = renderer.domElement;
this.element = null;
// Rendering factory
this.shaders = Shaders.Factory(Shaders.Snippets);
this.renderables = new Render.Factory(
Render.Classes,
renderer,
this.shaders
);
this.overlays = new Overlay.Factory(Overlay.Classes, canvas);
this.scene = this.renderables.make("scene", { scene });
this.camera = this.defaultCamera =
camera != null ? camera : new PerspectiveCamera();
// Primitives factory
this.attributes = new Model.Attributes(Primitives.Types, this);
this.primitives = new Primitives.Factory(Primitives.Types, this);
this.root = this.primitives.make("root");
// Document model
this.model = new Model.Model(this.root);
this.guard = new Model.Guard();
// Scene controllers
this.controller = new Stage.Controller(this.model, this.primitives);
this.animator = new Stage.Animator(this);
// Public API
this.api = new Stage.API(this);
// Global clocks, one real-time and one adjustable
this.speed = 1;
this.time = {
now: +new Date() / 1000,
time: 0,
delta: 0,
clock: 0,
step: 0,
};
}
//-------------------------------------------------------------------
// Lifecycle
init() {
this.scene.inject();
this.overlays.inject();
return this;
}
destroy() {
this.scene.unject();
this.overlays.unject();
return this;
}
resize(size) {
/*
{
viewWidth, viewHeight, renderWidth, renderHeight, aspect, pixelRatio
}
*/
if (size == null) {
size = {};
}
if (size.renderWidth == null) {
size.renderWidth =
size.viewWidth != null ? size.viewWidth : (size.viewWidth = 1280);
}
if (size.renderHeight == null) {
size.renderHeight =
size.viewHeight != null ? size.viewHeight : (size.viewHeight = 720);
}
if (size.pixelRatio == null) {
size.pixelRatio = size.renderWidth / Math.max(0.000001, size.viewWidth);
}
if (size.aspect == null) {
size.aspect = size.viewWidth / Math.max(0.000001, size.viewHeight);
}
this.root.controller.resize(size);
return this;
}
frame(time) {
/*
{
now, clock, step
}
*/
this.pre(time);
this.update();
this.render();
this.post();
return this;
}
//-------------------------------------------------------------------
// Broken down update/render cycle, for manual scheduling/invocation
pre(time) {
if (!time) {
time = {
now: +new Date() / 1000,
time: 0,
delta: 0,
clock: 0,
step: 0,
};
time.delta = this.time.now != null ? time.now - this.time.now : 0;
// Check for stopped render loop, assume 1 60fps frame
if (time.delta > 1) {
time.delta = 1 / 60;
}
time.step = time.delta * this.speed;
time.time = this.time.time + time.delta;
time.clock = this.time.clock + time.step;
}
this.time = time;
if (typeof this.root.controller.pre === "function") {
this.root.controller.pre();
}
return this;
}
update() {
this.animator.update();
this.attributes.compute();
this.guard.iterate({
step: () => {
let change = this.attributes.digest();
return change || (change = this.model.digest());
},
last() {
return {
attribute: this.attributes.getLastTrigger(),
model: this.model.getLastTrigger(),
};
},
});
if (typeof this.root.controller.update === "function") {
this.root.controller.update();
}
this.camera = this.root.controller.getCamera();
this.speed = this.root.controller.getSpeed();
return this;
}
render() {
if (typeof this.root.controller.render === "function") {
this.root.controller.render();
}
this.scene.render();
return this;
}
post() {
if (typeof this.root.controller.post === "function") {
this.root.controller.post();
}
return this;
}
//-------------------------------------------------------------------
// Warmup mode, inserts only n objects into the scene per frame
// Will render objects to offscreen 1x1 buffer to ensure shader is compiled even if invisible
setWarmup(n) {
this.scene.warmup(n);
return this;
}
getPending() {
return this.scene.pending.length;
}
}
Context.initClass();
| cchudzicki/mathbox | src/context.js | JavaScript | mit | 5,691 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS101: Remove unnecessary use of Array.from
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
import * as Primitives from '../primitives'
import PrimitiveDefs from './primitives.js'
import TraitDefs from './traits.js'
let def, _module, type;
const defs = {};
const titleCase = (v) => v.slice(0, 1).toUpperCase() + v.slice(1);
for (type in Primitives.Types.Classes) {
const klass = Primitives.Types.Classes[type];
def = defs[type] = {};
for (let trait of Array.from(klass.traits)) {
let ns;
[trait, ns] = Array.from(trait.split(":"));
const suffix = ns != null ? titleCase(ns) : "";
for (const k in TraitDefs[trait]) {
const v = TraitDefs[trait][k];
if (TraitDefs[trait] != null) {
def[k + suffix] = v;
}
}
}
}
const docs = {};
const index = {};
for (type in defs) {
let defaults, description, examples;
def = defs[type];
[_module, description, examples, defaults] = Array.from(PrimitiveDefs[type]);
const id = `${_module}/${type}`;
let out = `\
#### <a name="${id}"></a>\`${id}\`
*${description}*
\
`;
if (index[_module] == null) {
index[_module] = [];
}
index[_module].push(` * [${type}](#${id}) - ${description}`);
const props = Object.keys(def);
props.sort();
for (const key of Array.from(props)) {
const prop = def[key];
let ex =
(examples != null ? examples[key] : undefined) != null
? examples != null
? examples[key]
: undefined
: prop[3];
ex = ex ? `, e.g. \`${ex}\`` : "";
const val =
(defaults != null ? defaults[key] : undefined) != null
? defaults != null
? defaults[key]
: undefined
: prop[2];
out += ` * *${key}* = \`${val}\` (${prop[1]}) - ${prop[0]}${ex}\n`;
}
docs[type] = out;
}
console.log("## List of MathBox Primitives\n\n*Grouped by module.*\n");
const types = Object.keys(docs);
types.sort();
const modules = Object.keys(index);
modules.sort();
for (const m of modules) {
console.log(`#### ${m}\n\n`);
console.log(index[m].join("\n"));
console.log("\n");
}
console.log("\n\n---\n\n### Reference\n\n");
for (type of types) {
console.log(docs[type]);
}
| cchudzicki/mathbox | src/docs/generate.js | JavaScript | mit | 2,436 |
export default {
axis: ["draw", "Draw an axis", {}, { end: "true", zBias: "-1" }],
face: ["draw", "Draw polygon faces"],
grid: ["draw", "Draw a 2D line grid", {}, { width: "1", zBias: "-2" }],
line: ["draw", "Draw lines"],
point: ["draw", "Draw points"],
strip: ["draw", "Draw triangle strips"],
surface: ["draw", "Draw surfaces", {}, { lineX: "false", lineY: "false" }],
ticks: ["draw", "Draw ticks"],
vector: ["draw", "Draw vectors"],
view: ["view", "Adjust view range"],
cartesian: ["view", "Apply cartesian view"],
cartesian4: ["view", "Apply 4D cartesian view"],
polar: ["view", "Apply polar view"],
spherical: ["view", "Apply spherical view"],
stereographic: ["view", "Apply stereographic projection"],
stereographic4: ["view", "Apply 4D stereographic projection"],
transform: ["transform", "Transform geometry in 3D"],
transform4: ["transform", "Transform geometry in 4D"],
vertex: ["transform", "Apply custom vertex shader pass"],
fragment: ["transform", "Apply custom fragment shader pass"],
layer: ["transform", "Independent 2D layer/overlay"],
mask: ["transform", "Apply custom mask pass"],
array: [
"data",
"1D array",
{ expr: "function (emit, i, time, delta) { ... }" },
],
interval: [
"data",
"1D sampled array",
{ expr: "function (emit, x, i, time, delta) { ... }" },
],
matrix: [
"data",
"2D matrix",
{ expr: "function (emit, i, j, time, delta) { ... }" },
],
area: [
"data",
"2D sampled matrix",
{ expr: "function (emit, x, y, i, j, time, delta) { ... }" },
],
voxel: [
"data",
"3D voxels",
{ expr: "function (emit, i, j, k, time, delta) { ... }" },
],
volume: [
"data",
"3D sampled voxels",
{ expr: "function (emit, x, y, z, i, j, k, time, delta) { ... }" },
],
scale: ["data", "Human-friendly divisions on an axis, subdivided as needed"],
html: ["overlay", "HTML element source"],
dom: ["overlay", "HTML DOM injector"],
text: [
"text",
"GL text source",
{},
{ minFilter: '"linear"', magFilter: '"linear"' },
],
format: [
"text",
"Text formatter",
{ expr: "function (x, y, z, w, i, j, k, l, time, delta) { ... }" },
{ minFilter: '"linear"', magFilter: '"linear"' },
],
retext: ["text", "Text atlas resampler"],
label: ["text", "Draw GL labels"],
clamp: ["operator", "Clamp out-of-bounds samples to the nearest data point"],
grow: ["operator", "Scale data relative to reference data point"],
join: [
"operator",
"Join two array dimensions into one by concatenating rows/columns/stacks",
],
lerp: ["operator", "Linear interpolation of data"],
memo: ["operator", "Memoize data to an array/texture"],
readback: [
"operator",
"Read data back to a binary JavaScript array",
{ expr: "function (x, y, z, w, i, j, k, l) { ... }" },
],
resample: ["operator", "Resample data to new dimensions with a shader"],
repeat: ["operator", "Repeat data in one or more dimensions"],
swizzle: ["operator", "Swizzle data values"],
spread: ["operator", "Spread data values according to array indices"],
split: [
"operator",
"Split one array dimension into two by splitting rows/columns/etc",
],
slice: ["operator", "Select one or more rows/columns/stacks"],
subdivide: ["operator", "Subdivide data points evenly or with a bevel"],
transpose: ["operator", "Transpose array dimensions"],
group: ["base", "Group elements for visibility and activity"],
inherit: ["base", "Inherit and inject a trait from another element"],
root: ["base", "Tree root"],
unit: ["base", "Change unit sizing for drawing ops"],
shader: ["shader", "Custom shader snippet"],
camera: ["camera", "Camera instance or proxy"],
rtt: [
"rtt",
"Render objects to a texture",
{},
{ minFilter: '"linear"', magFilter: '"linear"', type: '"unsignedByte"' },
],
compose: [
"rtt",
"Full-screen render pass",
{},
{ zWrite: "false", zTest: "false", color: '"white"' },
],
clock: ["time", "Relative clock that starts from zero."],
now: ["time", "Absolute UNIX time in seconds since 01/01/1970"],
move: ["present", "Move elements in/out on transition"],
play: ["present", "Play a sequenced animation"],
present: ["present", "Present a tree of slides"],
reveal: ["present", "Reveal/hide elements on transition"],
slide: ["present", "Presentation slide"],
step: ["present", "Step through a sequenced animation"],
};
| cchudzicki/mathbox | src/docs/primitives.js | JavaScript | mit | 4,494 |
export default {
node: {
id: ["Unique ID", "nullable string", "null", '"sampler"'],
classes: ["Custom classes", "string array", "[]", '["big"]'],
},
entity: {
active: ["Updates continuously", "bool", "true"],
},
object: {
visible: ["Visibility for rendering", "bool", "true"],
},
unit: {
scale: [
"(Vertical) Reference scale of viewport in pixels",
"nullable number",
"null",
720,
],
fov: [
"(Vertical) Field-of-view to calibrate units for (degrees)",
"nullable number",
"null",
60,
],
focus: ["Camera focus distance in world units", "nullable number", 1],
},
span: {
range: ["Range on axis", "vec2", "[-1, 1]"],
},
view: {
range: [
"4D range in view",
"array vec2",
"[[-1, 1], [-1, 1], [-1, 1], [-1, 1]]",
],
},
view3: {
position: ["3D Position", "vec3", "[0, 0, 0]"],
quaternion: ["3D Quaternion", "quat", "[0, 0, 0, 1]"],
rotation: ["3D Euler rotation", "vec3", "[0, 0, 0]"],
scale: ["3D Scale", "vec3", "[1, 1, 1]"],
eulerOrder: ["Euler order", "swizzle", "xyz"],
},
view4: {
position: ["4D Position", "vec4", "[0, 0, 0, 0]"],
scale: ["4D Scale", "vec4", "[1, 1, 1, 1]"],
},
layer: {
depth: ["3D Depth", "number", "1"],
fit: ["Fit to (contain, cover, x, y)", "fit", "y"],
},
vertex: {
pass: ["Vertex pass (data, view, world, eye)", "vertexPass", '"view"'],
},
fragment: {
pass: ["Fragment pass (color, light, rgba)", "fragmentPass", '"light"'],
gamma: [
"Pass RGBA values in sRGB instead of linear RGB",
"boolean",
"false",
],
},
transform3: {
position: ["3D Position", "vec3", "[0, 0, 0]"],
quaternion: ["3D Quaternion", "quat", "[0, 0, 0, 1]"],
rotation: ["3D Euler rotation", "vec3", "[0, 0, 0]"],
scale: ["3D Scale", "vec3", "[1, 1, 1]"],
eulerOrder: ["3D Euler order", "swizzle", "xyz"],
matrix: [
"3D Projective Matrix",
"mat4",
"[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]",
],
},
transform4: {
position: ["4D Position", "vec4", "[0, 0, 0, 0]"],
scale: ["4D Scale", "vec4", "[1, 1, 1, 1]"],
matrix: [
"4D Affine Matrix",
"mat4",
"[1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]",
],
},
camera: {
proxy: ["Re-use existing camera", "bool", "false"],
position: ["3D Position", "nullable vec3", "null", "[1, 2, 3]"],
quaternion: [
"3D Quaternion",
"nullable quat",
"null",
"[0.707, 0, 0, 0.707]",
],
rotation: ["3D Euler rotation", "nullable vec3", "null", "[π/2, 0, 0]"],
lookAt: ["3D Look at", "nullable vec3", "null", "[2, 3, 4]"],
up: ["3D Up", "nullable vec3", "null", "[0, 1, 0]"],
eulerOrder: ["3D Euler order", "swizzle", '"xyz"'],
fov: ["Field-of-view (degrees)", "nullable number", "null", "60"],
},
polar: {
bend: ["Amount of polar bend", "number", "1"],
helix: ["Expand into helix", "number", "0"],
},
spherical: {
bend: ["Amount of spherical bend", "number", "1"],
},
stereographic: {
bend: ["Amount of stereographic bend", "number", "1"],
},
interval: {
axis: ["Axis", "axis", "1"],
},
area: {
axes: ["Axis pair", "swizzle(2) axis", "[1, 2]"],
},
volume: {
axes: ["Axis triplet", "swizzle(3) axis", "[1, 2, 3]"],
},
origin: {
origin: ["4D Origin", "vec4", "[0, 0, 0, 0]"],
},
scale: {
divide: ["Number of divisions", "number", "10"],
unit: ["Reference unit", "number", "1"],
base: ["Power base for sub/super units", "number", "10"],
mode: ["Scale type", "scale", '"linear"'],
start: ["Include start", "bool", "true"],
end: ["Include end", "bool", "true"],
zero: ["Include zero", "bool", "true"],
factor: ["Scale factor", "positive number", "1"],
nice: ["Snap to nice numbers", "bool", "true"],
},
grid: {
lineX: ["Draw X lines", "bool", "true"],
lineY: ["Draw Y lines", "bool", "true"],
crossed: ["UVWO map on matching axes", "bool", "true"],
closedX: ["Close X lines", "bool", "false"],
closedY: ["Close Y lines", "bool", "false"],
},
axis: {
detail: ["Geometric detail", "number", 1],
crossed: ["UVWO map on matching axis", "bool", "true"],
},
data: {
data: ["Data array", "nullable object", null],
expr: ["Data emitter expression", "nullable emitter", null],
live: ["Update continuously", "bool", true],
},
buffer: {
channels: ["Number of channels", "number", 4],
items: ["Number of items", "number", 4],
fps: ["Frames-per-second update rate", "nullable number", "null", 60],
hurry: ["Maximum frames to hurry per frame", "number", 5],
limit: ["Maximum frames to track", "number", 60],
realtime: ["Run on real time, not clock time", "bool", false],
observe: ["Pass clock time to data", "bool", false],
aligned: ["Use (fast) integer lookups", "bool", false],
},
sampler: {
centered: ["Centered instead of corner sampling", "bool", "false"],
padding: ["Number of samples padding", "number", "0"],
},
array: {
width: ["Array width", "nullable number", "1"],
bufferWidth: ["Array buffer width", "number", "1"],
history: ["Array history", "number", "1"],
},
matrix: {
width: ["Matrix width", "nullable number", "1"],
height: ["Matrix height", "nullable number", "1"],
history: ["Matrix history", "number", "1"],
bufferWidth: ["Matrix buffer width", "number", "1"],
bufferHeight: ["Matrix buffer height", "number", "1"],
},
voxel: {
width: ["Voxel width", "nullable number", "1"],
height: ["Voxel height", "nullable number", "1"],
depth: ["Voxel depth", "nullable number", "1"],
bufferWidth: ["Voxel buffer width", "number", "1"],
bufferHeight: ["Voxel buffer height", "number", "1"],
bufferDepth: ["Voxel buffer depth", "number", "1"],
},
style: {
opacity: ["Opacity", "positive number", "1"],
color: ["Color", "color", '"rgb(128, 128, 128)"'],
blending: [
"Blending mode ('no, normal, add, subtract, multiply)",
"blending",
'"normal"',
],
zWrite: ["Write Z buffer", "bool", true],
zTest: ["Test Z buffer", "bool", true],
zIndex: ["Z-Index (2D stacking)", "positive int", "0"],
zBias: ["Z-Bias (3D stacking)", "positive number", "0"],
zOrder: ["Z-Order (drawing order)", "nullable number", "null", "2"],
},
geometry: {
points: ["Points data source", "select", "<"],
colors: ["Colors data source", "nullable select", "null", '"#colors"'],
},
point: {
size: ["Point size", "positive number", 4],
sizes: ["Point sizes data source", "nullable select", "null", '"#sizes"'],
shape: [
"Point shape (circle, square, diamond, up, down, left, right)",
"shape",
'"circle"',
],
optical: ["Optical or exact sizing", "bool", true],
fill: ["Fill shape", "bool", true],
depth: ["Depth scaling", "number", 1],
},
line: {
width: ["Line width", "positive number", 2],
stroke: ["Line stroke (solid, dotted, dashed)", "stroke", '"solid"'],
depth: ["Depth scaling", "number", 1],
proximity: ["Proximity threshold", "nullable number", "null", "10"],
closed: ["Close line", "bool", false],
},
mesh: {
fill: ["Fill mesh", "bool", true],
shaded: ["Shade mesh", "bool", false],
map: ["Texture map source", "nullable select", "null", '"#map"'],
lineBias: ["Z-Bias for lines on fill", "number", 5],
},
strip: {
line: ["Draw line", "bool", false],
},
face: {
line: ["Draw line", "bool", false],
},
arrow: {
size: ["Arrow size", "number", 3],
start: ["Draw start arrow", "bool", true],
end: ["Draw end arrow", "bool", true],
},
ticks: {
normal: ["Normal for reference plane", "bool", true],
size: ["Tick size", "number", 10],
epsilon: ["Tick epsilon", "number", 0.0001],
},
attach: {
offset: ["2D offset", "vec2", "[0, -20]"],
snap: ["Snap to pixel", "bool", false],
depth: ["Depth scaling", "number", 0],
},
format: {
digits: ["Digits of precision", "nullable positive number", "null", 2],
data: [
"Array of labels",
"nullable array",
"null",
'["Grumpy", "Sleepy", "Sneezy"]',
],
expr: ["Label formatter expression", "nullable function", null],
live: ["Update continuously", "bool", true],
},
font: {
font: ["Font family", "font", '"sans-serif"'],
style: ["Font style", "string", '""', '"italic"'],
variant: ["Font variant", "string", '""', '"small-caps"'],
weight: ["Font weight", "string", '""', '"bold"'],
detail: ["Font detail", "number", "24"],
sdf: ["Signed distance field range", "number", "5"],
},
label: {
text: ["Text source", "select", '"<"'],
size: ["Text size", "number", "16"],
outline: ["Outline size", "number", "2"],
expand: ["Expand glyphs", "number", "0"],
background: ["Outline background", "color", '"rgb(255, 255, 255)"'],
},
overlay: {
opacity: ["Opacity", "positive number", 1],
zIndex: ["Z-Index (2D stacking)", "positive int", "0"],
},
dom: {
points: ["Points data source", "select", '"<"'],
html: ["HTML data source", "select", '"<"'],
size: ["Text size", "number", "16"],
outline: ["Outline size", "number", "2"],
zoom: ["HTML zoom", "number", "1"],
color: ["Color", "color", '"rgb(255, 255, 255)"'],
attributes: [
"HTML attributes",
"nullable object",
"null",
'{"style": {"color": "red"}}',
],
pointerEvents: ["Allow pointer events", "bool", false],
},
texture: {
minFilter: ["Texture minification filtering", "filter", '"nearest"'],
magFilter: ["Texture magnification filtering", "filter", '"nearest"'],
type: ["Texture data type", "type", '"float"'],
},
shader: {
sources: [
"Sampler sources",
"nullable select",
"null",
'["#pressure", "#divergence"]',
],
language: ["Shader language", "string", '"glsl"'],
code: ["Shader code", "string", '""'],
uniforms: [
"Shader uniform objects (three.js style)",
"nullable object",
"null",
"{ time: { type: 'f', value: 3 }}",
],
},
include: {
shader: ["Shader to use", "select", '"<"'],
},
operator: {
source: ["Input source", "select", '"<"'],
},
spread: {
unit: [
"Spread per item (absolute) or array (relative)",
"mapping",
'"relative"',
],
items: ["Items offset", "nullable vec4", "null", "[1.5, 0, 0, 0]"],
width: ["Width offset", "nullable vec4", "null", "[1.5, 0, 0, 0]"],
height: ["Height offset", "nullable vec4", "null", "[1.5, 0, 0, 0]"],
depth: ["Depth offset", "nullable vec4", "null", "[1.5, 0, 0, 0]"],
alignItems: ["Items alignment", "anchor", 0],
alignWidth: ["Width alignment", "anchor", 0],
alignHeight: ["Height alignment", "anchor", 0],
alignDepth: ["Depth alignment", "anchor", 0],
},
grow: {
scale: ["Scale factor", "number", 1],
items: ["Items alignment", "nullable anchor", "null", 0],
width: ["Width alignment", "nullable anchor", "null", 0],
height: ["Height alignment", "nullable anchor", "null", 0],
depth: ["Depth alignment", "nullable anchor", "null", 0],
},
split: {
order: ["Axis order", "transpose", '"wxyz"'],
axis: ["Axis to split", "nullable axis", "null", "x"],
length: ["Tuple length", "number", 1],
overlap: ["Tuple overlap", "number", 1],
},
join: {
order: ["Axis order", "transpose", '"wxyz"'],
axis: ["Axis to join", "nullable axis", "null", "x"],
overlap: ["Tuple overlap", "number", 1],
},
swizzle: {
order: ["Swizzle order", "swizzle", "xyzw"],
},
transpose: {
order: ["Transpose order", "transpose", "xyzw"],
},
repeat: {
items: ["Repeat items", "number", "1"],
width: ["Repeat width", "number", "1"],
height: ["Repeat height", "number", "1"],
depth: ["Repeat depth", "number", "1"],
},
slice: {
items: [
"Slice from, to items (excluding to)",
"nullable vec2",
"null",
"[2, 4]",
],
width: [
"Slice from, to width (excluding to)",
"nullable vec2",
"null",
"[2, 4]",
],
height: [
"Slice from, to height (excluding to)",
"nullable vec2",
"null",
"[2, 4]",
],
depth: [
"Slice from, to depth (excluding to)",
"nullable vec2",
"null",
"[2, 4]",
],
},
lerp: {
size: ["Scaling mode (relative, absolute)", "mapping", '"absolute"'],
items: ["Lerp to items", "nullable number", "null", "5"],
width: ["Lerp to width", "nullable number", "null", "5"],
height: ["Lerp to height", "nullable number", "null", "5"],
depth: ["Lerp to depth", "nullable number", "null", "5"],
},
subdivide: {
items: ["Divisions of items", "nullable positive int", "null", "5"],
width: ["Divisions of width", "nullable positive int", "null", "5"],
height: ["Divisions of height", "nullable positive int", "null", "5"],
depth: ["Divisions of depth", "nullable positive int", "null", "5"],
bevel: ["Fraction to end outward from vertices", "number", "1"],
lerp: ["Interpolate values with computed indices", "boolean", "true"],
},
resample: {
indices: ["Resample indices", "number", 4],
channels: ["Resample channels", "number", 4],
sample: ["Source sampling (relative, absolute)", "mapping", '"relative"'],
size: ["Scaling mode (relative, absolute)", "mapping", '"absolute"'],
items: ["Resample factor items", "nullable number", "null", "10"],
width: ["Resample factor width", "nullable number", "null", "10"],
height: ["Resample factor height", "nullable number", "null", "10"],
depth: ["Resample factor depth", "nullable number", "null", "10"],
},
readback: {
type: ["Readback data type (float, unsignedByte)", "float", '"float"'],
expr: ["Readback consume expression", "nullable function", "null"],
data: ["Readback data buffer (read only)", "data", "[]"],
channels: ["Readback channels (read only)", "number", "4"],
items: ["Readback items (read only)", "nullable number", "1"],
width: ["Readback width (read only)", "nullable number", "1"],
height: ["Readback height (read only)", "nullable number", "1"],
depth: ["Readback depth (read only)", "nullable number", "1"],
},
root: {
speed: ["Global speed", "number", 1],
camera: ["Active camera", "select", '"[camera]"'],
},
inherit: {
source: ["Inherit from node", "select", '"<"'],
traits: ["Inherit traits", "string array", "[]"],
},
rtt: {
width: ["RTT width", "nullable number", "null", "640"],
height: ["RTT height", "nullable number", "null", "360"],
history: ["RTT history", "number", 1],
},
compose: {
alpha: ["Compose with alpha transparency", "bool", false],
},
present: {
index: ["Present slide number", "number", "1"],
length: ["Presentation length (computed)", "number", "0"],
directed: ["Apply directional transitions", "bool", "true"],
},
slide: {
order: ["Slide order", "nullable number", 0],
steps: ["Slide steps", "number", 1],
early: ["Appear early steps", "number", 0],
late: ["Stay late steps", "number", 0],
from: ["Appear from step", "nullable number", "null", "2"],
to: ["Disappear on step", "nullable number", "null", "4"],
},
transition: {
stagger: ["Stagger dimensions", "vec4", "[0, 0, 0, 0]", "[2, 1, 0, 0]"],
enter: ["Enter state", "nullable number", "null", "0.5"],
exit: ["Exit state", "nullable number", "null", "0.5"],
delay: ["Transition delay", "number", "0"],
delayEnter: ["Transition enter delay", "nullable number", "null", "0.3"],
delayExit: ["Transition exit delay", "nullable number", "null", "0.3"],
duration: ["Transition duration", "number", "0.3"],
durationEnter: ["Transition enter duration", "number", "0.3"],
durationExit: ["Transition exit duration", "number", "0.3"],
},
move: {
from: ["Enter from", "vec4", "[0, 0, 0, 0]"],
to: ["Exit to", "vec4", "[0, 0, 0, 0]"],
},
seek: {
seek: ["Seek to time", "nullable number", "null", "4"],
},
track: {
target: ["Animation target", "select", '"<"'],
script: [
"Animation script",
"object",
"{}",
'{ "0": { props: { color: "red" }, expr: { size: function (t) { return Math.sin(t) + 1; }}}, "1": ...}',
],
ease: ["Animation ease (linear, cosine, binary, hold)", "ease", '"cosine"'],
},
trigger: {
trigger: ["Trigger on step", "nullable number", 1],
},
step: {
playback: [
"Playhead ease (linear, cosine, binary, hold)",
"ease",
'"linear"',
],
stops: ["Playhead stops", "nullable number array", "null", "[0, 1, 3, 5]"],
delay: ["Step delay", "number", "0"],
duration: ["Step duration", "number", "0.3"],
pace: ["Step pace", "number", "0"],
speed: ["Step speed", "number", "1"],
rewind: ["Step rewind factor", "number", "2"],
skip: ["Speed up through skips", "bool", true],
realtime: ["Run on real time, not clock time", "bool", false],
},
play: {
delay: ["Play delay", "number", "0"],
pace: ["Play pace", "number", "1"],
speed: ["Play speed", "number", "1"],
from: ["Play from", "number", "0"],
to: ["Play until", "number", "Infinity"],
realtime: ["Run on real time, not clock time", "bool", false],
loop: ["Loop", "bool", false],
},
now: {
now: ["Current moment", "nullable timestamp", "null", 1444094929.619],
seek: ["Seek to time", "nullable number", null],
pace: ["Time pace", "number", 1],
speed: ["Time speed", "number", 1],
},
};
| cchudzicki/mathbox | src/docs/traits.js | JavaScript | mit | 17,766 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS102: Remove unnecessary code created because of implicit returns
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
import "./splash.js";
// NOTE this import triggers the installation of all plugins as a side effect.
import "threestrap";
import * as model from "./model";
import * as overlay from "./overlay";
import * as primitives from "./primitives";
import * as render from "./render";
import * as shaders from "./shaders";
import * as stage from "./stage";
import * as util from "./util";
import { Bootstrap } from "threestrap/src/bootstrap.js";
import { Context as ctx } from "./context.js";
export const version = "2.1.1";
// Just because
export const π = Math.PI;
export const τ = π * 2;
export const e = Math.E;
export const Context = ctx;
export const Model = model;
export const Overlay = overlay;
export const Primitives = primitives;
export const Render = render;
export const Shaders = shaders;
export const Stage = stage;
export const Util = util;
export const DOM = util.VDOM;
export const mathBox = function (options) {
const three = new Bootstrap(options);
if (!three.fallback) {
if (!three.Time) {
three.install("time");
}
if (!three.MathBox) {
three.install(["mathbox", "splash"]);
}
}
return three.mathbox != null ? three.mathbox : three;
};
// Load context and export namespace
// TODO suspicious... how can I export??
// for (let k in Context.Namespace) {
// const v = Context.Namespace[k];
// exports[k] = v;
// }
// Threestrap plugin
Bootstrap.registerPlugin("mathbox", {
defaults: {
init: true,
warmup: 2,
inspect: true,
splash: true,
},
listen: ["ready", "pre", "update", "post", "resize"],
// Install meta-API
install(three) {
let inited = false;
this.first = true;
return (three.MathBox = {
// Init the mathbox context
init: (options) => {
if (inited) {
return;
}
inited = true;
const scene =
(options != null ? options.scene : undefined) ||
this.options.scene ||
three.scene;
const camera =
(options != null ? options.camera : undefined) ||
this.options.camera ||
three.camera;
this.context = new Context(three.renderer, scene, camera);
// Enable handy destructuring
this.context.api.three = three.three = three;
this.context.api.mathbox = three.mathbox = this.context.api;
// v1 compatibility
this.context.api.start = () => three.Loop.start();
this.context.api.stop = () => three.Loop.stop();
// Initialize and set initial size
this.context.init();
this.context.resize(three.Size);
// Set warmup mode and track pending objects
this.context.setWarmup(this.options.warmup);
this.pending = 0;
this.warm = !this.options.warmup;
console.log("MathBox²", version);
three.trigger({
type: "mathbox/init",
version: version,
context: this.context,
});
},
// Destroy the mathbox context
destroy: () => {
if (!inited) {
return;
}
inited = false;
three.trigger({ type: "mathbox/destroy", context: this.context });
this.context.destroy();
delete three.mathbox;
delete this.context.api.three;
delete this.context;
},
object: () =>
this.context != null ? this.context.scene.root : undefined,
});
},
uninstall(three) {
three.MathBox.destroy();
delete three.MathBox;
},
// Ready event: right before mathbox() / THREE.bootstrap() returns
ready(event, three) {
if (this.options.init) {
three.MathBox.init();
return setTimeout(() => {
if (this.options.inspect) {
return this.inspect(three);
}
});
}
},
// Log scene for inspection
inspect(three) {
this.context.api.inspect();
if (!this.options.warmup) {
return this.info(three);
}
},
info(three) {
const fmt = function (x) {
const out = [];
while (x >= 1000) {
out.unshift(("000" + (x % 1000)).slice(-3));
x = Math.floor(x / 1000);
}
out.unshift(x);
return out.join(",");
};
const info = three.renderer.info.render;
console.log(
"Geometry ",
fmt(info.triangles) + " triangles ",
fmt(info.points) + " points ",
fmt(info.lines) + " lines ",
fmt(info.calls) + " draw calls "
);
},
// Hook up context events
resize(event, three) {
return this.context != null ? this.context.resize(three.Size) : undefined;
},
pre(event, three) {
return this.context != null ? this.context.pre(three.Time) : undefined;
},
update(event, three) {
let camera;
if (this.context != null) {
this.context.update();
}
if (
(camera = this.context != null ? this.context.camera : undefined) &&
camera !== three.camera
) {
three.camera = camera;
}
three.Time.set({ speed: this.context.speed });
this.progress(this.context.getPending(), three);
// Call render here instead of on:render because it renders off screen material
// that needs to be available for rendering the actual frame.
return this.context != null ? this.context.render() : undefined;
},
post(_event, _three) {
return this.context != null ? this.context.post() : undefined;
},
// Warmup progress changed
progress(remain, three) {
if (!remain && !this.pending) {
return;
}
// Latch max value until queue is emptied to get a total
let pending = Math.max(remain + this.options.warmup, this.pending);
// Send events for external progress reporting
const current = pending - remain;
const total = pending;
three.trigger({
type: "mathbox/progress",
current: pending - remain,
total: pending,
});
if (remain === 0) {
pending = 0;
}
this.pending = pending;
// Report once when loaded
if (current === total && !this.warm) {
this.warm = true;
if (this.options.inspect) {
this.info(three);
}
}
},
});
| cchudzicki/mathbox | src/index.js | JavaScript | mit | 6,476 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS101: Remove unnecessary use of Array.from
* DS102: Remove unnecessary code created because of implicit returns
* DS103: Rewrite code to no longer use __guard__, or convert again using --optional-chaining
* DS104: Avoid inline assignments
* DS205: Consider reworking code to avoid use of IIFEs
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
/*
Custom attribute model
- Organizes attributes by trait in .attributes
- Provides constant-time .props / .get() access to flat dictionary
- Provides .get(key) with or without trait namespaces
- Change attributes with .set(key) or .set(dictionary)
- Validation is double-buffered and in-place to detect changes and nops
- Change notifications are coalesced per object and per trait, digested later
- Values are stored in three.js uniform-style objects so they can be bound as GL uniforms
- Originally passed (unnormalized) values are preserved and can be fetched via .orig()
- Attributes can be defined as final/const
- Attributes can be computed from both public or private expressions with .bind(key, false/true)
- Expressions are time-dependent, can be time-travelled with .evaluate()
- This enables continous simulation and data logging despite choppy animation updates
Actual type and trait definitions are injected from Primitives
*/
export class Attributes {
constructor(definitions, context) {
this.context = context;
this.traits = definitions.Traits;
this.types = definitions.Types;
this.pending = [];
this.bound = [];
this.last = null;
}
make(type) {
return {
enum: typeof type.enum === "function" ? type.enum() : undefined,
type: typeof type.uniform === "function" ? type.uniform() : undefined, // for three.js
value: type.make(),
};
}
apply(object, config) {
return new Data(object, config, this);
}
bind(callback) {
return this.bound.push(callback);
}
unbind(callback) {
return (this.bound = Array.from(this.bound).filter(
(cb) => cb !== callback
));
}
queue(callback, object, key, value) {
this.lastObject = object;
this.lastKey = key;
this.lastValue = value;
return this.pending.push(callback);
}
invoke(callback) {
return callback(this.context.time.clock, this.context.time.step);
}
compute() {
if (this.bound.length) {
for (const cb of Array.from(this.bound)) {
this.invoke(cb);
}
}
}
digest() {
let calls;
if (!this.pending.length) {
return false;
}
[calls, this.pending] = Array.from([this.pending, []]);
for (const callback of Array.from(calls)) {
callback();
}
return true;
}
getTrait(name) {
return this.traits[name];
}
getLastTrigger() {
return `${this.lastObject.toString()} - ${this.lastKey}=\`${
this.lastValue
}\``;
}
}
const shallowCopy = function (x) {
const out = {};
for (const k in x) {
const v = x[k];
out[k] = v;
}
return out;
};
class Data {
constructor(object, config, _attributes) {
let key, ns, oldComputed, oldExpr, oldOrig, oldProps, spec;
let { props } = config;
const { traits, finals, freeform } = config;
const data = this;
// Save existing (original) values if re-applying
if (
object.props != null &&
object.expr != null &&
object.orig != null &&
object.computed != null &&
object.attributes != null
) {
oldProps = shallowCopy(object.props);
oldExpr = shallowCopy(object.expr);
oldOrig = object.orig();
oldComputed = object.computed();
// Dispose of old attributes/bindings
if (object.attributes != null) {
object.attributes.dispose();
}
}
// Flattened and original values
const flattened = {};
const originals = {};
// Aliases
const mapTo = {};
const to = (name) => (mapTo[name] != null ? mapTo[name] : name);
const define = function (name, alias) {
if (mapTo[alias]) {
throw new Error(
`${object.toString()} - Duplicate property \`${alias}\``
);
}
return (mapTo[alias] = name);
};
// Get/set
const get = (key) =>
(data[key] != null ? data[key].value : undefined) != null
? data[key] != null
? data[key].value
: undefined
: __guard__(data[to(key)], (x) => x.value);
const set = function (key, value, ignore, initial) {
let attr;
key = to(key);
// Look for defined attribute
if ((attr = data[key]) == null) {
if (!freeform) {
throw new Error(
`${object.toString()} - Setting unknown property \`${key}={${value}}\``
);
}
// Define attribute on the fly (placeholder)
attr = data[key] = {
short: key,
type: null,
last: null,
value: null,
};
validators[key] = (v) => v;
}
if (!ignore) {
// See if prop isn't bound
if (_expr[key]) {
throw new Error(
`${object.toString()} - Can't set bound property \`${key}={${value}}\``
);
}
// See if prop isn't computed
if (_computed[key]) {
throw new Error(
`${object.toString()} - Can't set computed property \`${key}={${value}}\``
);
}
// See if prop isn't final
if (_finals[key]) {
throw new Error(
`${object.toString()} - Can't set final property \`${key}={${value}}\``
);
}
}
// Validate new value
let valid = true;
const validated = validate(key, value, attr.last, function () {
valid = false;
return null;
});
// Accept and insert into flattened/original list
if (valid) {
[attr.value, attr.last] = Array.from([validated, attr.value]);
// Remember in flattened dict
const { short } = attr;
flattened[short] = validated;
if (!ignore) {
originals[short] = value;
} // Remember original unvalidated value
// Compare to last value unless setting initial value
if (!initial && !equals(key, attr.value, attr.last)) {
change(key, value);
}
}
return valid;
};
const constant = function (key, value, initial) {
key = to(key);
set(key, value, true, initial);
return (_finals[key] = true);
};
// Prop/expression binding
const expr = {};
const _bound = {};
const _eval = {};
const _expr = {};
const _computed = {};
const _finals = {};
const bind = function (key, expression, computed) {
if (computed == null) {
computed = false;
}
key = to(key);
if (typeof expression !== "function") {
throw new Error(
`${object.toString()} - Expression \`${key}=>{${expr}}\` is not a function`
);
}
if (_expr[key]) {
throw new Error(
`${object.toString()} - Property \`${key}=>{${expr}}\` is already bound`
);
}
if (_computed[key]) {
throw new Error(
`${object.toString()} - Property \`${key}\` is computed`
);
}
if (_finals[key]) {
throw new Error(`${object.toString()} - Property \`${key}\` is final`);
}
const list = computed ? _computed : _expr;
list[key] = expression;
const short = data[key] != null ? data[key].short : key;
if (!computed) {
expr[short] = expression;
} // flattened
_eval[key] = expression;
expression = expression.bind(object);
_bound[key] = function (t, d) {
let clock;
if (
(clock = object.clock != null ? object.clock.getTime() : undefined)
) {
t = clock.clock;
d = clock.step;
}
return object.set(key, expression(t, d), true);
};
return _attributes.bind(_bound[key]);
};
const unbind = function (key, computed) {
if (computed == null) {
computed = false;
}
key = to(key);
const list = computed ? _computed : _expr;
if (!list[key]) {
return;
}
_attributes.unbind(_bound[key]);
delete _bound[key];
delete list[key];
if (data[key] != null) {
key = data[key].short;
}
return delete expr[key];
};
const evaluate = function (key, time) {
let left;
key = to(key);
return (left =
typeof _eval[key] === "function" ? _eval[key](time, 0) : undefined) !=
null
? left
: data[key].value;
};
// Public interface
object.expr = expr;
object.props = flattened;
object.evaluate = function (key, time) {
if (key != null) {
return evaluate(key, time);
} else {
const out = {};
for (key in props) {
out[key] = evaluate(key, time);
}
return out;
}
};
object.get = function (key) {
if (key != null) {
return get(key);
} else {
return flattened;
}
};
object.set = function (key, value, ignore, initial) {
if (typeof key === "string") {
set(key, value, ignore, initial);
} else {
initial = ignore;
ignore = value;
const options = key;
for (key in options) {
value = options[key];
set(key, value, ignore, initial);
}
}
};
object.bind = function (key, expr, computed) {
if (typeof key === "string") {
bind(key, expr, computed);
} else {
computed = expr;
const binds = key;
for (key in binds) {
expr = binds[key];
bind(key, expr, computed);
}
}
};
object.unbind = function (key, computed) {
if (typeof key === "string") {
unbind(key, computed);
} else {
computed = expr;
const binds = key;
for (key in binds) {
unbind(key, computed);
}
}
};
object.attribute = function (key) {
if (key != null) {
return data[to(key)];
} else {
return data;
}
};
object.orig = function (key) {
if (key != null) {
return originals[to(key)];
} else {
return shallowCopy(originals);
}
};
object.computed = function (key) {
if (key != null) {
return _computed[to(key)];
} else {
return shallowCopy(_computed);
}
};
// Validate value for key
const makers = {};
const validators = {};
const equalors = {};
const equals = (key, value, target) => equalors[key](value, target);
const validate = (key, value, target, invalid) =>
validators[key](value, target, invalid);
object.validate = function (key, value) {
let target;
key = to(key);
const make = makers[key];
if (make != null) {
target = make();
}
return (target = validate(key, value, target, function () {
throw new Error(
`${object.toString()} - Invalid value \`${key}={${value}}\``
);
}));
};
// Accumulate changes
let dirty = false;
let changes = {};
let touches = {};
let changed = {};
let touched = {};
const getNS = (key) => key.split(".")[0];
const change = function (key, value) {
if (!dirty) {
dirty = true;
_attributes.queue(digest, object, key, value);
}
const trait = getNS(key);
// Log change
changes[key] = true;
// Mark trait/namespace as dirty
return (touches[trait] = true);
};
const event = {
type: "change",
changed: null,
touched: null,
};
// Notify listeners of accumulated changes
const digest = function () {
// Swap double buffered changes objects
let k;
event.changed = changes;
event.touched = touches;
changes = changed;
touches = touched;
({ changed } = event);
({ touched } = event);
// Reset all dirty flags
dirty = false;
for (k in changes) {
changes[k] = false;
}
for (k in touches) {
touches[k] = false;
}
event.type = "change";
object.trigger(event);
return (() => {
const result = [];
for (const trait in event.touched) {
event.type = `change:${trait}`;
result.push(object.trigger(event));
}
return result;
})();
};
// Convert name.trait.key into keyName
const shorthand = function (name) {
const parts = name.split(/\./g);
const suffix = parts.pop();
parts.pop(); // Discard
parts.unshift(suffix);
return parts.reduce(
(a, b) => a + b.charAt(0).toUpperCase() + b.substring(1)
);
};
// Define attributes for given trait spec by namespace
const addSpec = (name, spec) =>
(() => {
const result = [];
for (let key in spec) {
let value;
const type = spec[key];
key = [name, key].join(".");
const short = shorthand(key);
// Make attribute object
data[key] = {
T: type,
ns: name,
short,
enum: typeof type.enum === "function" ? type.enum() : undefined,
type:
typeof type.uniform === "function" ? type.uniform() : undefined,
last: type.make(),
value: (value = type.make()),
};
// Define flat namespace alias
define(key, short);
flattened[short] = value;
// Collect makers, validators and comparators
makers[key] = type.make;
validators[key] = type.validate != null ? type.validate : (a) => a;
result.push(
(equalors[key] =
type.equals != null ? type.equals : (a, b) => a === b)
);
}
return result;
})();
// Add in traits
const list = [];
for (let trait of Array.from(traits)) {
[trait, ns] = Array.from(trait.split(":"));
const name = ns ? [ns, trait].join(".") : trait;
spec = _attributes.getTrait(trait);
list.push(trait);
if (spec != null) {
addSpec(name, spec);
}
}
// Add custom props by namespace
if (props != null) {
for (ns in props) {
spec = props[ns];
addSpec(ns, spec);
}
}
// Store array of traits
const unique = list.filter((object, i) => list.indexOf(object) === i);
object.traits = unique;
// Set previous internal values
if (oldProps != null) {
object.set(oldProps, true, true);
}
// Set final props
if (finals != null) {
for (key in finals) {
const value = finals[key];
constant(key, value, true);
}
}
// Set previous external values
if (oldOrig != null) {
object.set(oldOrig, false, true);
}
// Bind previous computed props/expressions
if (oldComputed != null) {
object.bind(oldComputed, true);
}
if (oldExpr != null) {
object.bind(oldExpr, false);
}
// Destructor
this.dispose = function () {
for (key in _computed) {
unbind(key, true);
}
for (key in _expr) {
unbind(key, false);
}
props = {};
delete object.attributes;
delete object.get;
return delete object.set;
};
null;
}
}
function __guard__(value, transform) {
return typeof value !== "undefined" && value !== null
? transform(value)
: undefined;
}
| cchudzicki/mathbox | src/model/attributes.js | JavaScript | mit | 15,947 |
import * as CSSselect from "css-select";
import adapter from "./css-select-adapter.js";
/**
* Returns a filtered array of elements which are contained in context.
*/
const filter = (nodes, context) => {
const out = [];
const contextNodes = Array.isArray(context) ? context : [context];
const contextSet = new Set(contextNodes);
for (const node of Array.from(nodes)) {
let ancestor = node;
while (ancestor != null) {
if (contextSet.has(ancestor)) {
out.push(node);
break;
}
ancestor = adapter.getParent(ancestor);
}
}
return out;
};
const getRoot = (element) => {
let ancestor = element;
while (adapter.getParent(ancestor) !== null) {
ancestor = adapter.getParent(ancestor);
}
return ancestor;
};
/**
* Finds elements in the given context matching the given css-selector.
*
* Does NOT throw if css query is invalid.
*
* @param {string} query A css selector
* @param {*} context Element or array of elements
* @returns All elements in context matching query
*/
export const selectAll = (query, context) => {
try {
/**
* Try/catch to tolerate invalid css queries.
* See https://gitgud.io/unconed/mathbox/-/issues/23
*/
CSSselect.compile(query);
} catch (err) {
return [];
}
/**
* Delegate to css-select, except always make queries relative to root and
* filter matches outside of context ourselves. css-select does not currently
* handle contextualized queries relative to root correctly.
*
* See https://github.com/fb55/css-select/issues/709
*/
const isArray = Array.isArray(context);
if (isArray && context.length === 0) return [];
const root = getRoot(isArray ? context[0] : context);
const matches = CSSselect.selectAll(query, root, { adapter });
if (context) return filter(matches, context);
return matches;
};
export const compile = (query) => {
try {
/**
* Try/catch to tolerate invalid css queries.
* See https://gitgud.io/unconed/mathbox/-/issues/23
*/
return CSSselect.compile(query, { adapter });
} catch (err) {
return () => false;
}
};
| cchudzicki/mathbox | src/model/css-select-adapted.js | JavaScript | mit | 2,130 |
/**
* This file contains an *adapter* for css-select. css-select is a CSS selection
* engine for HTML that can be used with other data structures (XML, etc) via
* adapters. Here we define an adapter for MathBox's vdom.
*
* The adapter interface is described here:
* https://github.com/fb55/css-select/blob/1aa44bdd64aaf2ebdfd7f338e2e76bed36521957/src/types.ts#L6-L96
*
* Nodes vs Elements:
* In general, CSS Selectors act on a document tree built from nodes, which can
* include element nodes and non-element nodes. For example, in HTML, tags are
* element nodes but lines of text are non-element node. Non-element text nodes
* can influence css selection, e.g., via :first-line pseudoclass, but these
* non-element nodes are never returned by selectors.
*
* Mathbox only has element nodes.
*/
/**
* Is this node an element node? Yes. Mathbox only has element nodes.
*/
function isTag(_elem) {
return true;
}
function getChildren(elem) {
return elem.children || [];
}
function getParent(elem) {
return elem.parent;
}
/**
* Takes an array of nodes, and removes any duplicates, as well as any
* nodes whose ancestors are also in the array.
*/
function removeSubsets(nodes) {
const deduped = new Set(nodes);
deduped.forEach((node) => {
let ancestor = node.parent;
while (ancestor) {
if (deduped.has(ancestor)) {
deduped.delete(node);
return;
}
ancestor = ancestor.parent;
}
});
return Array.from(deduped);
}
const adapter = {
isTag,
/**
* Does at least one of passed element nodes pass the test predicate?
*/
existsOne(test, elems) {
return elems.some((elem) =>
isTag(elem)
? test(elem) || adapter.existsOne(test, getChildren(elem))
: false
);
},
/**
* Get the siblings of the node. Note that unlike jQuery's `siblings` method,
* this is expected to include the current node as well
*/
getSiblings(elem) {
const parent = getParent(elem);
return parent ? getChildren(parent) : [elem];
},
getChildren,
getParent,
getAttributeValue(elem, name) {
if (name === "class") return elem.props.classes.join(" ");
if (name === "id") return elem.id;
return "";
},
hasAttrib(elem, name) {
if (name === "id") return !!elem.id;
if (name === "class") return elem.props.classes.length > 0;
if (!elem.traits.hash) return false;
return Object.prototype.hasOwnProperty.call(elem.traits.hash, name);
},
removeSubsets,
getName(elem) {
return elem.type ?? "";
},
/**
* Finds the first node in the array that matches the test predicate, or one
* of its children.
*/
findOne: function findOne(test, elems) {
for (const node of elems) {
if (test(node)) {
return node;
} else {
const match = findOne(test, getChildren(node));
if (match) return match;
}
}
return null;
},
findAll: function findAll(test, elems) {
const result = [];
for (const elem of elems) {
if (!isTag(elem)) continue;
if (test(elem)) {
result.push(elem);
}
result.push(...findAll(test, getChildren(elem)));
}
return result;
},
getText: function getText(_elem) {
return "";
},
};
export default adapter;
| cchudzicki/mathbox | src/model/css-select-adapter.js | JavaScript | mit | 3,280 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS101: Remove unnecessary use of Array.from
* DS102: Remove unnecessary code created because of implicit returns
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
import { Node } from "./node.js";
export class Group extends Node {
constructor(type, defaults, options, binds, config, attributes) {
super(type, defaults, options, binds, config, attributes);
this.children = [];
this.on("reindex", (event) =>
Array.from(this.children).map((child) => child.trigger(event))
);
}
add(node) {
if (node.parent != null) {
node.parent.remove(node);
}
node._index(this.children.length, this);
this.children.push(node);
return node._added(this);
}
remove(node) {
if (node.children != null ? node.children.length : undefined) {
node.empty();
}
const index = this.children.indexOf(node);
if (index === -1) {
return;
}
this.children.splice(index, 1);
node._index(null);
node._removed(this);
for (let i = 0; i < this.children.length; i++) {
node = this.children[i];
if (i >= index) {
node._index(i);
}
}
}
empty() {
const children = this.children.slice().reverse();
for (const node of Array.from(children)) {
this.remove(node);
}
}
}
| cchudzicki/mathbox | src/model/group.js | JavaScript | mit | 1,530 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS102: Remove unnecessary code created because of implicit returns
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
export class Guard {
constructor(limit) {
if (limit == null) {
limit = 10;
}
this.limit = limit;
}
iterate(options) {
const { step, last } = options;
let { limit } = this;
while (step()) {
if (!--limit) {
console.warn(
"Last iteration",
typeof last === "function" ? last() : undefined
);
throw new Error("Exceeded iteration limit.");
}
}
return null;
}
}
| cchudzicki/mathbox | src/model/guard.js | JavaScript | mit | 817 |
export * from "./attributes.js";
export * from "./group.js";
export * from "./guard.js";
export * from "./model.js";
export * from "./node.js";
| cchudzicki/mathbox | src/model/index.js | JavaScript | mit | 144 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS101: Remove unnecessary use of Array.from
* DS102: Remove unnecessary code created because of implicit returns
* DS104: Avoid inline assignments
* DS205: Consider reworking code to avoid use of IIFEs
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
import { compile, selectAll } from "./css-select-adapted";
const AUTO = /^<([0-9]+|<*)$/;
/*
Model that wraps a root node and its children.
Monitors adds, removals and ID/class changes.
Enables CSS selectors, both querying and watching.
Watchers are primed differentially as changes come in,
and fired with digest().
*/
export class Model {
constructor(root) {
this.root = root;
this.root.model = this;
this.root.root = this.root;
this.ids = {};
this.classes = {};
this.traits = {};
this.types = {};
this.nodes = [];
this.watchers = [];
this.fire = false;
this.lastNode = null;
this.event = { type: "update" };
// Triggered by child addition/removal
const add = (event) => adopt(event.node);
const remove = (event) => dispose(event.node);
this.root.on("add", add);
this.root.on("remove", remove);
// Track node lifecycle
const adopt = (node) => {
addNode(node);
addType(node);
addTraits(node);
node.on("change:node", update);
update(null, node, true);
return force(node);
};
const dispose = (node) => {
removeNode(node);
removeType(node);
removeTraits(node);
removeID(node.id, node);
removeClasses(node.classes, node);
node.off("change:node", update);
return force(node);
};
// Watcher cycle for catching changes in id/classes
const prime = (node) => {
for (const watcher of Array.from(this.watchers)) {
watcher.match = watcher.matcher(node);
}
return null;
};
const check = (node) => {
for (const watcher of Array.from(this.watchers)) {
const fire =
watcher.fire ||
(watcher.fire = watcher.match !== watcher.matcher(node));
if (fire) {
this.lastNode = node;
}
if (!this.fire) {
this.fire = fire;
}
}
return null;
};
const force = (node) => {
for (const watcher of Array.from(this.watchers)) {
const fire = watcher.fire || (watcher.fire = watcher.matcher(node));
if (fire) {
this.lastNode = node;
}
if (!this.fire) {
this.fire = fire;
}
}
return null;
};
this.digest = () => {
if (!this.fire) {
return false;
}
for (const watcher of Array.from(this.watchers.slice())) {
if (watcher.fire) {
watcher.fire = false;
watcher.handler();
}
}
this.fire = false;
return true;
};
// Track id/class changes
const update = (event, node, init) => {
const _id = init || event.changed["node.id"];
const _klass = init || event.changed["node.classes"];
let primed = false;
if (_id) {
const id = node.get("node.id");
if (id !== node.id) {
if (!init) {
prime(node);
}
primed = true;
if (node.id != null) {
removeID(node.id, node);
}
addID(id, node);
}
}
if (_klass) {
let left;
let classes = (left = node.get("node.classes")) != null ? left : [];
const klass = classes.join(",");
if (klass !== (node.classes != null ? node.classes.klass : undefined)) {
classes = classes.slice();
if (!init && !primed) {
prime(node);
}
primed = true;
if (node.classes != null) {
removeClasses(node.classes, node);
}
addClasses(classes, node);
node.classes = classes;
node.classes.klass = klass;
}
}
if (!init && primed) {
check(node);
}
return null;
};
// Manage lookup tables for types/classes/traits
const addTags = function (sets, tags, node) {
if (tags == null) {
return;
}
for (const k of Array.from(tags)) {
const list = sets[k] != null ? sets[k] : [];
list.push(node);
sets[k] = list;
}
return null;
};
const removeTags = function (sets, tags, node) {
if (tags == null) {
return;
}
for (const k of Array.from(tags)) {
const list = sets[k];
const index = list.indexOf(node);
if (index >= 0) {
list.splice(index, 1);
}
if (list.length === 0) {
delete sets[k];
}
}
return null;
};
// Build a hash for an array of tags for quick lookups
const hashTags = function (array) {
if (!(array.length > 0)) {
return;
}
const hash = (array.hash = {});
return Array.from(array).map((klass) => (hash[klass] = true));
};
const unhashTags = (array) => delete array.hash;
// Track IDs (live)
const addID = (id, node) => {
if (this.ids[id]) {
throw new Error(`Duplicate node id \`${id}\``);
}
if (id != null) {
this.ids[id] = [node];
}
return (node.id = id != null ? id : node._id);
};
const removeID = (id, node) => {
if (id != null) {
delete this.ids[id];
}
return (node.id = node._id);
};
// Track classes (live)
const addClasses = (classes, node) => {
addTags(this.classes, classes, node);
if (classes != null) {
return hashTags(classes);
}
};
const removeClasses = (classes, node) => {
removeTags(this.classes, classes, node);
if (classes != null) {
return unhashTags(classes);
}
};
// Track nodes
const addNode = (node) => this.nodes.push(node);
const removeNode = (node) => this.nodes.splice(this.nodes.indexOf(node), 1);
// Track nodes by type
const addType = (node) => addTags(this.types, [node.type], node);
const removeType = (node) => removeTags(this.types, [node.type], node);
// Track nodes by trait
const addTraits = (node) => {
addTags(this.traits, node.traits, node);
return hashTags(node.traits);
};
const removeTraits = (node) => {
removeTags(this.traits, node.traits, node);
return unhashTags(node.traits);
};
adopt(this.root);
this.root.trigger({ type: "added" });
}
select(query, context) {
return selectAll(query, context || this.getRoot());
}
// Watch selector with handler
watch(selector, handler) {
let watcher;
handler.unwatch = () => this.unwatch(handler);
handler.watcher = watcher = {
selector,
handler,
matcher: this._matcher(selector),
match: false,
fire: false,
};
this.watchers.push(watcher);
return this.select(selector);
}
// Unwatch a handler
unwatch(handler) {
const { watcher } = handler;
if (watcher == null) {
return;
}
this.watchers.splice(this.watchers.indexOf(watcher), 1);
delete handler.unwatch;
return delete handler.watcher;
}
// Make a matcher for a single selector
_matcher(query) {
if (AUTO.test(query)) {
throw new Error("Auto-link matcher unsupported");
}
return compile(query);
}
getRoot() {
return this.root;
}
getLastTrigger() {
return this.lastNode.toString();
}
}
| cchudzicki/mathbox | src/model/model.js | JavaScript | mit | 7,776 |
// TODO: This file was created by bulk-decaffeinate.
// Sanity-check the conversion and remove this comment.
/*
* decaffeinate suggestions:
* DS101: Remove unnecessary use of Array.from
* DS102: Remove unnecessary code created because of implicit returns
* DS104: Avoid inline assignments
* DS205: Consider reworking code to avoid use of IIFEs
* DS207: Consider shorter variations of null checks
* Full docs: https://github.com/decaffeinate/decaffeinate/blob/master/docs/suggestions.md
*/
import * as Pretty from "../util/pretty.js";
import { Binder } from "threestrap/src/binder.js";
let nodeIndex = 0;
export class Node {
constructor(type, defaults, options, binds, config, attributes) {
this.type = type;
this._id = (++nodeIndex).toString();
this.configure(config, attributes);
this.parent = this.root = this.path = this.index = null;
this.set(defaults, true, true);
this.set(options, false, true);
this.bind(binds, false);
}
configure(config, attributes) {
let { traits, props, finals, freeform } = config;
if (traits == null) {
traits =
(this._config != null ? this._config.traits : undefined) != null
? this._config != null
? this._config.traits
: undefined
: [];
}
if (props == null) {
props =
(this._config != null ? this._config.props : undefined) != null
? this._config != null
? this._config.props
: undefined
: {};
}
if (finals == null) {
finals =
(this._config != null ? this._config.finals : undefined) != null
? this._config != null
? this._config.finals
: undefined
: {};
}
if (freeform == null) {
freeform =
(this._config != null ? this._config.freeform : undefined) != null
? this._config != null
? this._config.freeform
: undefined
: false;
}
this._config = { traits, props, finals, freeform };
return (this.attributes = attributes.apply(this, this._config));
}
dispose() {
this.attributes.dispose();
return (this.attributes = null);
}
// Add/removal callback
_added(parent) {
this.parent = parent;
this.root = parent.root;
// Notify root listeners of child addition
const event = {
type: "add",
node: this,
parent: this.parent,
};
if (this.root) {
this.root.trigger(event);
}
// Notify self listeners of own addition
event.type = "added";
return this.trigger(event);
}
_removed() {
// Notify root listeners of child removal
const event = {
type: "remove",
node: this,
};
if (this.root) {
this.root.trigger(event);
}
// Notify self listeners of own removal
event.type = "removed";
this.trigger(event);
return (this.root = this.parent = null);
}
// Assign unique indices to nodes to make paths
_index(index, parent) {
let path;
if (parent == null) {
({ parent } = this);
}
this.index = index;
this.path = path =
index != null
? ((parent != null ? parent.path : undefined) != null
? parent != null
? parent.path
: undefined
: []
).concat([index])
: null;
this.order = path != null ? this._encode(path) : Infinity;
if (this.root != null) {
return this.trigger({ type: "reindex" });
}
}
// Asymptotic arithmetic encoding
// Computes invariant node order from path of indices
// Goes from 1 at the root [0] of the tree, to 0 at [∞] (best for FP precision).
// Divides the interval into countably infinite many intervals, nested recursively.
//
// (loses precision eventually, it's used cos three.js needs a single numerical order)
_encode(path) {
// Tune precision between deep and narrow (1) vs shallow and wide (n)
const k = 3;
const map = (x) => k / (x + k);
const lerp = (t) => b + (a - b) * t;
let a = 1 + 1 / k;
let b = 0;
for (const index of Array.from(path)) {
const f = map(index + 1);
const g = map(index + 2);
[a, b] = Array.from([lerp(f), lerp(g)]);
}
return a;
}
toString() {
const _id = this.id != null ? this.id : this._id;
const tag = this.type != null ? this.type : "node";
let id = tag;
id += `#${_id}`;
if (this.classes != null ? this.classes.length : undefined) {
id += `.${this.classes.join(".")}`;
}
if (this.children != null) {
let count;
if ((count = this.children.length)) {
return `<${id}>…(${count})…</${tag}>`;
} else {
return `<${id}></${tag}>`;
}
} else {
return `<${id} />`;
}
}
toMarkup(selector = null, indent) {
let k, v;
if (indent == null) {
indent = "";
}
if (selector && typeof selector !== "function") {
let left;
selector =
(left =
this.root != null ? this.root.model._matcher(selector) : undefined) !=
null
? left
: () => true;
}
const tag = this.type != null ? this.type : "node";
let { expr } = this;
// Ensure generated ID goes first
const orig = { id: this._id };
const object = typeof this.orig === "function" ? this.orig() : undefined;
for (k in object) {
v = object[k];
orig[k] = v;
}
const props = (() => {
const result = [];
for (k in orig) {
v = orig[k];
if (!this.expr[k]) {
result.push(Pretty.JSX.prop(k, v));
}
}
return result;
})();
expr = (() => {
const result1 = [];
for (k in expr) {
v = expr[k];
result1.push(Pretty.JSX.bind(k, v));
}
return result1;
})();
let attr = [""];
if (props.length) {
attr = attr.concat(props);
}
if (expr.length) {
attr = attr.concat(expr);
}
attr = attr.join(" ");
let child = indent;
const recurse = () => {
if (!(this.children != null ? this.children.length : undefined)) {
return "";
}
return this.children
.map((x) => x.toMarkup(selector, child))
.filter((x) => x != null && x.length)
.join("\n");
};
if (selector && !selector(this)) {
return recurse();
}
if (this.children != null) {
const open = `<${tag}${attr}>`;
const close = `</${tag}>`;
child = indent + " ";
let children = recurse();
if (children.length) {
children = "\n" + children + "\n" + indent;
}
if (children == null) {
children = "";
}
return indent + open + children + close;
} else {
return `${indent}<${tag}${attr} />`;
}
}
print(selector, level) {
return Pretty.print(this.toMarkup(selector), level);
}
}
Binder.apply(Node.prototype);
| cchudzicki/mathbox | src/model/node.js | JavaScript | mit | 6,956 |