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Complex Exponential
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| { | |
| "uuid": "74616ba8-b76d-4bed-b4ef-46d8396e03a0", | |
| "description": "Complex Exponential", | |
| "dependencies": { | |
| "DomReady": "latest", | |
| "davinci-mathbox": "1.0.14", | |
| "davinci-blade": "1.1.1" | |
| }, | |
| "operatorOverloading": true | |
| } |
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| <!doctype html> | |
| <html> | |
| <head> | |
| <meta charset="utf-8"> | |
| <title>MathBox - Empty Example.</title> | |
| <!-- STYLE-MARKER --> | |
| <!-- SCRIPTS-MARKER --> | |
| <script type="text/javascript"> | |
| </script> | |
| </head> | |
| <body> | |
| <div id="info"></div> | |
| <script type='text/javascript'> | |
| try { | |
| <!-- CODE-MARKER --> | |
| } | |
| catch(e) { | |
| console.log(e); | |
| } | |
| </script> | |
| </body> | |
| </html> |
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| DomReady.ready(function() { | |
| ThreeBox.preload([ | |
| '../shaders/snippets.glsl.html', | |
| ], function () { | |
| // MathBox boilerplate | |
| var mathbox: MathBox.Stage = mathBox({ | |
| cameraControls: true, | |
| cursor: true, | |
| controlClass: ThreeBox.OrbitControls, | |
| elementResize: true, | |
| fullscreen: true, | |
| screenshot: true, | |
| stats: false, | |
| scale: 1, | |
| }).start(); | |
| // Viewport camera/setup | |
| var duration = mathbox | |
| // Cartesian viewport | |
| .viewport({ | |
| type: 'cartesian', | |
| range: [[-5, 5], [-5, 5], [-5, 5]], | |
| scale: [1, 1, 1], | |
| polar: 0, | |
| }) | |
| .camera({ | |
| orbit: 4, | |
| phi: τ/2, | |
| theta: .2, | |
| }) | |
| .transition(300) | |
| // Surface function | |
| .surface({ | |
| mesh: false, | |
| line: true, | |
| shaded: true, | |
| domain: [[-2.5, 1.5], [-π*1.5, π*1.5]], | |
| n: [32, 64], | |
| expression: surfaceFunc, | |
| }) | |
| // Rotate camera continuously | |
| mathbox.world().loop().hookPreRender(function () { | |
| mathbox.set('camera', { phi: +new Date() * .0003 }); | |
| }); | |
| }); | |
| }); | |
| /** | |
| * Custom helpers | |
| */ | |
| // Complex exponentiation function, projected down to 3D | |
| function surfaceFunc(x: number, y: number): number[] { | |
| var expZ = new blade.Complex(x, y).exp(); | |
| return [expZ.x, expZ.y, x+y]; | |
| } |
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| html, body { height: 100%; } | |
| body { margin: 0; padding: 0 } | |
| canvas { display: block } | |
| #info { | |
| position: absolute; | |
| left: 50%; | |
| bottom: 50px; | |
| z-index: 20; | |
| width: 300px; | |
| margin-left: -150px; | |
| padding: 25px; | |
| background: rgba(0, 0, 0, .5); | |
| color: #fff; | |
| font-family: "Lucida Grande", sans-serif; | |
| font-size: 16px; | |
| text-align: center; | |
| border-radius: 3px; | |
| text-shadow: 0px 1px 0px rgba(0, 0, 0, .4); | |
| opacity: 0; | |
| } | |
| #info.transition { | |
| -webkit-transition: opacity 300ms ease-in-out; | |
| -moz-transition: opacity 300ms ease-in-out; | |
| transition: opacity 300ms ease-in-out; | |
| } | |
| #info kbd { | |
| background: #aaa; | |
| box-shadow: 0px 1px 1px rgba(0, 0, 0, .3); | |
| border-radius: 3px; | |
| padding: 3px; | |
| margin: 3px; | |
| font-family: inherit; | |
| } | |
| .mathbox-label { | |
| font-family: 'klavika-web', sans-serif; | |
| font-weight: normal; | |
| font-style: normal; | |
| text-shadow: | |
| 3px 0px 1px rgb(255, 255, 255), | |
| -3px 0px 1px rgb(255, 255, 255), | |
| 0px -3px 1px rgb(255, 255, 255), | |
| 0px 3px 1px rgb(255, 255, 255), | |
| 2px 2px 1px rgb(255, 255, 255), | |
| -2px 2px 1px rgb(255, 255, 255), | |
| 2px -2px 1px rgb(255, 255, 255), | |
| -2px -2px 1px rgb(255, 255, 255), | |
| 3px 2px 1px rgb(255, 255, 255), | |
| -3px 2px 1px rgb(255, 255, 255), | |
| 3px -2px 1px rgb(255, 255, 255), | |
| -3px -2px 1px rgb(255, 255, 255), | |
| 1px 3px 1px rgb(255, 255, 255), | |
| -1px 3px 1px rgb(255, 255, 255), | |
| 1px -3px 1px rgb(255, 255, 255), | |
| -1px -3px 1px rgb(255, 255, 255), | |
| -1px -1px 1px rgb(255, 255, 255), | |
| -1px 1px 1px rgb(255, 255, 255), | |
| 1px -1px 1px rgb(255, 255, 255), | |
| 1px 1px 1px rgb(255, 255, 255); | |
| } |
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