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Complex Exponential
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{ | |
"uuid": "74616ba8-b76d-4bed-b4ef-46d8396e03a0", | |
"description": "Complex Exponential", | |
"dependencies": { | |
"DomReady": "latest", | |
"davinci-mathbox": "latest", | |
"davinci-blade": "1.1.1" | |
}, | |
"operatorOverloading": false | |
} |
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<!doctype html> | |
<html> | |
<head> | |
<style> | |
/* STYLE-MARKER */ | |
</style> | |
<!-- SCRIPTS-MARKER --> | |
</head> | |
<body> | |
<div id="info"></div> | |
<script> | |
// CODE-MARKER | |
</script> | |
</body> | |
</html> |
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DomReady.ready(function() { | |
ThreeBox.preload([ | |
'../shaders/snippets.glsl.html', | |
], function () { | |
// MathBox boilerplate | |
var mathbox = 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 }); | |
}); | |
}); | |
}); | |
function surfaceFunc(x: number, y: number): number[] { | |
var z = new blade.Complex(x, y); | |
var zout = z.exp(); | |
return [zout.x, zout.y, x + Math.sin(Math.PI/2) * 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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