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Projective viewport
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Lines changed: 605 additions & 7 deletions

‎README.md‎

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@@ -249,6 +249,23 @@ Regular linear XYZ.
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})
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```
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__Projective__
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Applies a 4x4 homogeneous/projective transform.
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```javascript
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.viewport({
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type: 'projective',
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range: [[-1, 1], [-1, 1], [-1, 1]], // Range in X, Y, Z
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scale: [1, 1, 1], // Scale in X, Y, Z
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rotation: [0, 0, 0], // Viewport rotation in Euler angles
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position: [0, 0, 0], // Viewport position in XYZ
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projective: [[1, 0, 0, 0], // 4x4 projective transform
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[0, 1, 0, 0],
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[0, 0, 1, 0],
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[0, 0, 0, 1]],
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})
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```
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__Polar__
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Polar coordinate grid in radians. X is angle, Y is radius, Z is ordinary depth.
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Also useful for visualizing complex operations in polar representation.

‎build.sh‎

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@@ -46,6 +46,7 @@ src/renderables/Labels.js
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src/viewports/Viewport.js
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src/viewports/ViewportCartesian.js
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src/viewports/ViewportPolar.js
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src/viewports/ViewportProjective.js
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src/viewports/ViewportSphere.js
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"
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‎build/MathBox-bundle.js‎

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@@ -46944,13 +46944,100 @@ MathBox.ViewportPolar.prototype = _.extend(new MathBox.ViewportCartesian(null),
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validatePolar: function (polar) {
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return Math.max(0, Math.min(1, +polar || 0));
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}//,
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},
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validateFold: function (fold) {
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return +fold || 0;
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},
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validatePower: function (power) {
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return +power || 0;
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},
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validateHelix: function (helix) {
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return +helix || 0;
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},
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});
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MathBox.Attributes.mixin(MathBox.Viewport);
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MathBox.Viewport.types.polar = MathBox.ViewportPolar;
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/**
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* Projective viewport, i.e. with a 4x4 projective transform applied
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*/
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MathBox.ViewportProjective = function (options) {
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var _super = MathBox.ViewportCartesian;
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_super.call(this, options);
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this.super = _super.prototype;
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// Prepare uniforms
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_.extend(this._uniforms, {
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projectiveTransform: new THREE.Matrix4(),//,
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});
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};
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MathBox.ViewportProjective.prototype = _.extend(new MathBox.ViewportCartesian(null), {
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defaults: function () {
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return {
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type: 'projective',
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range: [[-1, 1], [-1, 1], [-1, 1]],
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scale: [1, 1, 1],
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rotation: [0, 0, 0],
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position: [0, 0, 0],
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projective: [[1, 0, 0, 0],
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[0, 1, 0, 0],
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[0, 0, 1, 0],
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[0, 0, 0, 1]],
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};
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},
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to: function (vector) {
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// Apply projective transform
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this._uniforms.projectiveTransform.multiplyVector3(vector);
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// Apply viewport
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this.transform.multiplyVector3(vector);
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},
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from: function (vector) {
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// Apply inverse viewport
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this.inverse.multiplyVector3(vector);
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},
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update: function (stage) {
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var t = this._uniforms.projectiveTransform;
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var m = this.get('projective');
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console.log(m, m[0].concat(m[1], m[2], m[3]));
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// t.set.apply(t, m[0].concat(m[1], m[2], m[3]));
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MathBox.ViewportCartesian.prototype.update.call(this, stage);
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},
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shader: function (factory) {
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factory
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.snippet('projectiveTransform')
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.snippet('mathToWorld');
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},
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// Attribute validators
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validateProjective: function (m) {
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if (m.constructor == Array) {
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for (var j = 0; j < 3; ++j) {
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m[j] = (m[j] && m.constructor == Array && m[j]) || [];
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m[j] = m[j].concat([0, 0, 0, 0]).slice(0, 4);
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}
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return m;
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}
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},
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});
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MathBox.Attributes.mixin(MathBox.Viewport);
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MathBox.Viewport.types.projective = MathBox.ViewportProjective;
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/**
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* Cartesian to spherical viewport transform.
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*

‎build/MathBox-bundle.min.js‎

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‎build/MathBox-core.js‎

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@@ -4335,13 +4335,100 @@ MathBox.ViewportPolar.prototype = _.extend(new MathBox.ViewportCartesian(null),
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validatePolar: function (polar) {
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return Math.max(0, Math.min(1, +polar || 0));
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}//,
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},
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validateFold: function (fold) {
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return +fold || 0;
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},
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validatePower: function (power) {
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return +power || 0;
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},
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validateHelix: function (helix) {
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return +helix || 0;
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},
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});
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MathBox.Attributes.mixin(MathBox.Viewport);
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MathBox.Viewport.types.polar = MathBox.ViewportPolar;
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/**
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* Projective viewport, i.e. with a 4x4 projective transform applied
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*/
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MathBox.ViewportProjective = function (options) {
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var _super = MathBox.ViewportCartesian;
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_super.call(this, options);
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this.super = _super.prototype;
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// Prepare uniforms
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_.extend(this._uniforms, {
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projectiveTransform: new THREE.Matrix4(),//,
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});
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};
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MathBox.ViewportProjective.prototype = _.extend(new MathBox.ViewportCartesian(null), {
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defaults: function () {
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return {
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type: 'projective',
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range: [[-1, 1], [-1, 1], [-1, 1]],
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scale: [1, 1, 1],
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rotation: [0, 0, 0],
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position: [0, 0, 0],
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projective: [[1, 0, 0, 0],
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[0, 1, 0, 0],
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[0, 0, 1, 0],
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[0, 0, 0, 1]],
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};
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},
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to: function (vector) {
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// Apply projective transform
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this._uniforms.projectiveTransform.multiplyVector3(vector);
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// Apply viewport
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this.transform.multiplyVector3(vector);
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},
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from: function (vector) {
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// Apply inverse viewport
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this.inverse.multiplyVector3(vector);
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},
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update: function (stage) {
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var t = this._uniforms.projectiveTransform;
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var m = this.get('projective');
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console.log(m, m[0].concat(m[1], m[2], m[3]));
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// t.set.apply(t, m[0].concat(m[1], m[2], m[3]));
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MathBox.ViewportCartesian.prototype.update.call(this, stage);
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},
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shader: function (factory) {
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factory
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.snippet('projectiveTransform')
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.snippet('mathToWorld');
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},
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// Attribute validators
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validateProjective: function (m) {
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if (m.constructor == Array) {
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for (var j = 0; j < 3; ++j) {
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m[j] = (m[j] && m.constructor == Array && m[j]) || [];
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m[j] = m[j].concat([0, 0, 0, 0]).slice(0, 4);
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}
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return m;
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}
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},
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});
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MathBox.Attributes.mixin(MathBox.Viewport);
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MathBox.Viewport.types.projective = MathBox.ViewportProjective;
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/**
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* Cartesian to spherical viewport transform.
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*

‎build/MathBox-core.min.js‎

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‎build/MathBox.glsl.html‎

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</script>
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<script type="application/x-glsl" id="projectiveTransform">
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// Vertex shader: apply the projective viewport transform
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uniform mat4 projectiveTransform;
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void projective(in vec3 positionIn, out vec3 positionOut) {
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vec4 pos4 = projectiveTransform * vec4(positionIn, 1.0);
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positionOut = pos4.xyz / pos4.w;
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}
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</script>
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<script type="application/x-glsl" id="mathTransform">
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// Vertex shader: apply an arbitrary transform in math space
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uniform mat4 mathTransform;

‎build/MathBox.js‎

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@@ -7321,13 +7321,100 @@ MathBox.ViewportPolar.prototype = _.extend(new MathBox.ViewportCartesian(null),
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validatePolar: function (polar) {
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return Math.max(0, Math.min(1, +polar || 0));
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}//,
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},
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validateFold: function (fold) {
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return +fold || 0;
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},
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validatePower: function (power) {
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return +power || 0;
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},
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validateHelix: function (helix) {
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return +helix || 0;
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},
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});
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MathBox.Attributes.mixin(MathBox.Viewport);
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MathBox.Viewport.types.polar = MathBox.ViewportPolar;
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/**
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* Projective viewport, i.e. with a 4x4 projective transform applied
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*/
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MathBox.ViewportProjective = function (options) {
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var _super = MathBox.ViewportCartesian;
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_super.call(this, options);
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this.super = _super.prototype;
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// Prepare uniforms
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_.extend(this._uniforms, {
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projectiveTransform: new THREE.Matrix4(),//,
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});
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};
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MathBox.ViewportProjective.prototype = _.extend(new MathBox.ViewportCartesian(null), {
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defaults: function () {
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return {
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type: 'projective',
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range: [[-1, 1], [-1, 1], [-1, 1]],
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scale: [1, 1, 1],
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rotation: [0, 0, 0],
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position: [0, 0, 0],
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projective: [[1, 0, 0, 0],
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[0, 1, 0, 0],
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[0, 0, 1, 0],
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[0, 0, 0, 1]],
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};
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},
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to: function (vector) {
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// Apply projective transform
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this._uniforms.projectiveTransform.multiplyVector3(vector);
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// Apply viewport
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this.transform.multiplyVector3(vector);
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},
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from: function (vector) {
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// Apply inverse viewport
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this.inverse.multiplyVector3(vector);
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},
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update: function (stage) {
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var t = this._uniforms.projectiveTransform;
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var m = this.get('projective');
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console.log(m, m[0].concat(m[1], m[2], m[3]));
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// t.set.apply(t, m[0].concat(m[1], m[2], m[3]));
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MathBox.ViewportCartesian.prototype.update.call(this, stage);
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},
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shader: function (factory) {
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factory
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.snippet('projectiveTransform')
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.snippet('mathToWorld');
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},
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// Attribute validators
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validateProjective: function (m) {
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if (m.constructor == Array) {
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for (var j = 0; j < 3; ++j) {
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m[j] = (m[j] && m.constructor == Array && m[j]) || [];
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m[j] = m[j].concat([0, 0, 0, 0]).slice(0, 4);
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}
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return m;
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}
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},
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});
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MathBox.Attributes.mixin(MathBox.Viewport);
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MathBox.Viewport.types.projective = MathBox.ViewportProjective;
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/**
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* Cartesian to spherical viewport transform.
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*

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