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graph4zeroCenter.html
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graph4zeroCenter.html
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<html>
<head>
<title>Chambered Test</title>
<script type="text/javascript">
var ctx;
var pixels;
var w = 400;
var h = 400;
var fps = 100;
var maxQ = 10;
var arF;
function init() {
ctx = document.getElementById('game').getContext('2d');
pixels = ctx.createImageData(w, h);
for ( var i = 0; i < w*h; ++i) {
pixels.data[i*4 + 3] = 255;
}
initModel();
setInterval(clock, 1000 / fps);
};
function clock() {
renderScene();
ctx.putImageData(pixels, 0, 0);
renderModel();
};
var cBody = 30;
var arFX = new Array(cBody);
var arFY = new Array(cBody);
var arVX = new Array(cBody);
var arVY = new Array(cBody);
var arX = new Array(cBody);
var arY = new Array(cBody);
var arQ = new Array(cBody);
var M;
function initModel() {
for (var i = 0; i < (cBody - 1); ++i) {
arQ[i] = 1 + Math.random() * (maxQ - 1);
arX[i] = w * Math.random();
arY[i] = h * Math.random();
arVX[i] = Math.random() * w / (5 * fps);
arVY[i] = Math.random() * h / (5 * fps);
}
// center mass is in the center,
// impulse is zero
var mX = 0;
var mY = 0;
var mPX = 0;
var mPY = 0;
M = 0;
for (var i = 0; i < (cBody - 1); ++i) {
var Q = arQ[i];
M += Q;
mX += Q * arX[i];
mY += Q * arY[i];
mPX += Q * arVX[i];
mPY += Q * arVY[i];
}
M += maxQ;
arQ[cBody - 1] = maxQ;
arX[cBody - 1] = (w*M/2 - mX)/maxQ;
arY[cBody - 1] = (h*M/2 - mY)/maxQ;
arVX[cBody - 1] = -mPX/maxQ;
arVY[cBody - 1] = -mPY/maxQ;
}
function ss(x1, y1, x2, y2) {
return x1*x2 + y1*y2;
}
function modul(x, y) {
return Math.sqrt(x*x + y*y);
}
function doModel() {
for (var i = 0; i < cBody; ++i) {
arX[i] += arVX[i];
arY[i] += arVY[i];
if (arX[i] < 0 || arX[i] > w)
arVX[i] *= -1;
if (arY[i] < 0 || arY[i] > h)
arVY[i] *= -1;
arFX[i] = 0;
arFY[i] = 0;
}
for (var i = 0; i < cBody; ++i) {
for (var k = 0; k < i; ++k) {
var dx = arX[k] - arX[i];
var dy = arY[k] - arY[i];
var r2 = (dx * dx + dy * dy);
var r = Math.sqrt(r2);
if (r < (arQ[i] + arQ[k])) {
//Time machine -2 dt
var dox = dx - (arVX[k] - arVX[i]) * 2;
var doy = dy - (arVY[k] - arVY[i]) * 2;
var orm = modul(dox, doy);
//Ellastic collision
var nx = dox/orm;
var ny = doy/orm;
var un_ss = ss(arVX[i], arVY[i], nx, ny);
var m = arQ[i];
var Un_ss = ss(arVX[k], arVY[k], nx, ny);
var M = arQ[k];
var vn_ss = (un_ss*(m - M) + 2*M*Un_ss)/(m + M);
var Vn_ss = (Un_ss*(M - m) + 2*m*un_ss)/(m + M);
arVX[i] += (vn_ss - un_ss)*nx;
arVY[i] += (vn_ss - un_ss)*ny;
arVX[k] += (Vn_ss - Un_ss)*nx;
arVY[k] += (Vn_ss - Un_ss)*ny;
} else {
var nx = dx / r;
var ny = dy / r;
var F = arQ[k] / r2;
arFX[i] += F * nx;
arFY[i] += F * ny;
F = arQ[i] / r2;
arFX[k] -= F * nx;
arFY[k] -= F * ny;
}
}
}
for (var i = 0; i < cBody; ++i) {
arVX[i] += arFX[i];
arVY[i] += arFY[i];
}
}
function FF(x, y) {
var F = 0.0;
for (var i = 0; i < cBody; ++i) {
if (x == arX[i] || y == arY[i])
return arQ[i];
var dx = x - arX[i];
var dy = y - arY[i];
var r = Math.sqrt(dx * dx + dy * dy);
F += arQ[i] / r;
}
return F;
}
function renderScene() {
doModel();
for (var x = 0; x < w; ++x) {
for (var y = 0; y < h; ++y) {
var off = (x + y * w) * 4;
var F = 75*FF(x, y);
pixels.data[off + 0] = F;
//pixels.data[off + 1] = 0;
//pixels.data[off + 2] = 0;
}
}
}
function renderModel() {
var mX = 0;
var mY = 0;
for (var i = 0; i < cBody; ++i) {
mX += arQ[i] * arX[i];
mY += arQ[i] * arY[i];
//ctx.fillRect(arX[i] - arQ[i] / 2, arY[i] - arQ[i] / 2, arQ[i], arQ[i]);
ctx.beginPath();
ctx.arc(arX[i], arY[i], arQ[i]/2, 0, 2*Math.PI, false);
ctx.fillStyle = "rgb(0, 200," + Math.round(arQ[i]*255/maxQ) + ")";
ctx.fill();
ctx.lineWidth = 0.01;
ctx.stroke();
}
ctx.fillStyle = "#0000FF";
mX /= M;
mY /= M;
ctx.fillRect(mX - 2, mY - 2, 4, 4);
}
</script>
<style type="text/css">
canvas, img {
image-rendering: optimizeSpeed;
image-rendering: -moz-crisp-edges;
image-rendering: -webkit-optimize-contrast;
image-rendering: optimize-contrast;
-ms-interpolation-mode: nearest-neighbor;
}
</style>
</head>
<body>
<canvas id="game" width="400" height="400"></canvas>
<script type="text/javascript">init();</script>
</body>
</html>