surface-parametric-more.html
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<!doctype html>
<html>
<head>
<meta charset="utf-8">
<title>Parametric Surfaces Fun - ECHARTS-GL</title>
<meta name="viewport" content="width=device-width, initial-scale=1, user-scalable=no">
<meta name="apple-mobile-web-app-capable" content="yes"> <!-- Fullscreen Landscape on iOS -->
<link rel="stylesheet" href="./common.css">
</head>
<body>
<div id="main"></div>
<div id="toolbar">
<button id="prev">Prev</button>
<button id="next">Next</button>
</div>
<script src="../node_modules/echarts/dist/echarts.js"></script>
<script src="../dist/echarts-gl.js"></script>
<script src="lib/jquery.min.js"></script>
<script src="js/commonUI.js"></script>
<script>
// http://xahlee.info/surface/breather_p/breather_p.html
var chart = echarts.init(document.getElementById('main'));
var sin = Math.sin;
var cos = Math.cos;
var pow = Math.pow;
var sqrt = Math.sqrt;
var cosh = Math.cosh;
var sinh = Math.sinh;
var PI = Math.PI;
var parametricEquations = [
{
name: 'Mollusc Shell',
u: {
min: -PI,
max: PI,
step: PI / 40
},
v: {
min: -15,
max: 6,
step: 0.21
},
x: function (u, v) {
return pow(1.16, v) * cos(v) * (1 + cos(u));
},
y: function (u, v) {
return -pow(1.16, v) * sin(v) * (1 + cos(u));
},
z: function (u, v) {
return -2 * pow(1.16, v) * (1 + sin(u));
}
},
{
name: 'Breather',
link: 'http://xahlee.info/surface/breather_p/breather_p.html',
u: {
min: -13.2,
max: 13.2,
step: 0.5
},
v: {
min: -37.4,
max: 37.4,
step: 0.5
},
x: function (u, v) {
var aa = 0.4;
var r = 1 - aa * aa;
var w = sqrt(r);
var denom = aa * (pow(w * cosh(aa * u), 2) + aa * pow(sin(w * v), 2))
return -u + (2 * r * cosh(aa * u) * sinh(aa * u) / denom);
},
y: function (u, v) {
var aa = 0.4;
var r = 1 - aa * aa;
var w = sqrt(r);
var denom = aa * (pow(w * cosh(aa * u), 2) + aa * pow(sin(w * v), 2))
return 2 * w * cosh(aa * u) * (-(w * cos(v) * cos(w * v)) - (sin(v) * sin(w * v))) / denom;
},
z: function (u, v) {
var aa = 0.4;
var r = 1 - aa * aa;
var w = sqrt(r);
var denom = aa * (pow(w * cosh(aa * u), 2) + aa * pow(sin(w * v), 2))
return 2 * w * cosh(aa * u) * (-(w * sin(v) * cos(w * v)) + (cos(v) * sin(w * v))) / denom
}
},
{
name: 'Klein Bottle',
u: {
min: 0,
max: PI * 2,
step: PI / 20
},
v: {
min: 0,
max: 2 * PI,
step: PI / 20
},
x: function (u, v) {
var r = 3;
return (r + cos(v / 2) * sin(u) - sin(v / 2) * sin(2 * u)) * cos(v)
},
y: function (u, v) {
var r = 3;
return (r + cos(v / 2) * sin(u) - sin(v / 2) * sin(2 * u)) * sin(v)
},
z: function (u, v) {
var r = 3;
return sin(v / 2) * sin(u) + cos(v / 2) * sin(2 * u)
}
},
{
name: 'Bump Sphere',
u: {
min: -Math.PI,
max: Math.PI,
step: Math.PI / 40
},
v: {
min: 0,
max: Math.PI,
step: Math.PI / 40
},
x: function (u, v) {
var x = Math.sin(v) * Math.sin(u);
var y = Math.sin(v) * Math.cos(u);
var z = Math.cos(v);
delta = sin(20 * x) + sin(20 * y) + sin(20 * z);
return x * (1 + delta * 0.03);
},
y: function (u, v) {
var x = Math.sin(v) * Math.sin(u);
var y = Math.sin(v) * Math.cos(u);
var z = Math.cos(v);
delta = sin(20 * x) + sin(20 * y) + sin(20 * z);
return y * (1 + delta * 0.03);
},
z: function (u, v) {
var x = Math.sin(v) * Math.sin(u);
var y = Math.sin(v) * Math.cos(u);
var z = Math.cos(v);
delta = sin(20 * x) + sin(20 * y) + sin(20 * z);
return z * (1 + delta * 0.03);
}
},
{
name: 'Moebius Strip',
u: {
min: 0,
max: PI * 2,
step: PI / 10
},
v: {
min: -1,
max: 1,
step: 0.2
},
x: function (u, v) {
return (1 + v / 2 * cos(u / 2)) * cos(u);
},
y: function (u, v) {
return (1 + v / 2 * cos(u / 2)) * sin(u);
},
z: function (u, v) {
return v / 2 * sin(u / 2);
}
}
];
var currentIndex = 0;
chart.setOption({
tooltip: {},
title: [{
text: 'Parametric Surfaces Fun',
subtext: 'From Virtual Math Museum',
sublink: 'http://virtualmathmuseum.org/Surface/gallery_o.html',
left: 'center',
textStyle: {
color: '#fff'
},
subtextStyle: {
color: '#fff'
}
}, {
id: 'surface-name',
textStyle: {
color: '#fff'
},
bottom: 10,
text: parametricEquations[0].name
}],
visualMap: {
show: false,
dimension: 2,
min: -5,
max: 0,
inRange: {
color: ['#313695', '#4575b4', '#74add1', '#abd9e9', '#e0f3f8', '#ffffbf', '#fee090', '#fdae61', '#f46d43', '#d73027', '#a50026']
}
},
xAxis3D: {
type: 'value'
},
yAxis3D: {
type: 'value'
},
zAxis3D: {
type: 'value'
},
grid3D: {
axisLine: {
lineStyle: {
color: '#fff'
}
},
postEffect: {
enable: true,
edge: {
enable: true
}
},
light: {
main: {
intensity: 1
},
ambient: {
intensity: 0
},
ambientCubemap: {
texture: 'asset/pisa.hdr',
exposure: 2,
diffuseIntensity: 1,
specularIntensity: 5
}
},
viewControl: {
// projection: 'orthographic'
}
},
series: [{
type: 'surface',
parametric: true,
shading: 'realistic',
realisticMaterial: {
roughness: 0.4,
metalness: 0
},
// shading: 'albedo',
parametricEquation: parametricEquations[0]
}]
});
function update() {
chart.setOption({
title: {
id: 'surface-name',
text: parametricEquations[currentIndex].name
},
series: {
parametricEquation: parametricEquations[currentIndex]
}
})
}
document.getElementById('prev').addEventListener('click', function () {
currentIndex -= 1;
if (currentIndex < 0) {
currentIndex = parametricEquations.length - 1;
}
update();
});
document.getElementById('next').addEventListener('click', function () {
currentIndex = (currentIndex + 1) % parametricEquations.length;
update();
});
window.addEventListener('resize', function () {
chart.resize();
});
</script>
</body>
</html>