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index.html
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<html>
<head>
</head>
<body>
<script>
const ISPATHCOMPRESSION = () => { return checkboxPathCompression.checked };
const DISPLAYRANK = () => {return checkboxInfo.checked};
const DISPLAYMONEY = () => {return checkboxInfo.checked};
var prec = new Array();
var rank = new Array();
var money = new Array();
var nodesName = ["ERROR !!! ERROR !!", "a", "b", "c", "d", "e", "f", "g", "h", "i", "j", "k", "l", "m", "n", "o", "p", "q", "r", "s", "t", "u", "v", "w", "x", "y", "z"];
var a = 1;
var b = 2;
var c = 3;
var d = 4;
var e = 5;
var f = 6;
var g = 7;
var h = 8;
var i = 9;
var j = 10;
var k = 11;
var l = 12;
var m = 13;
var n = 14;
var o = 15;
var p = 16;
var q = 17;
var r = 18;
var s = 19;
var t = 20;
var u = 21;
var v = 22;
var w = 23;
var x = 24;
var y = 25;
var z = 26;
function getName(node) {
if (1 <= node && node <= 26)
return nodesName[node];
else {
return "ERROR: " + node;
}
}
function clear() {
prec = new Array();
rank = new Array();
money = new Array();
}
function add(node) {
prec[node] = node;
rank[node] = 0;
money[node] = 0;
}
function getRoots() {
var roots = new Array();
for (var nodei in prec) {
if (prec[nodei] == nodei) {
roots.push(nodei);
}
}
return roots;
}
function isLeaf(node) {
return getSucc(node).length == 0;
}
function getSucc(node) {
var succ = new Array();
for (var nodei in prec) {
if ((prec[nodei] == node) && (nodei != node)) {
succ.push(nodei);
}
}
return succ;
}
function sameIntervalLNstar(ranka, rankb) {
if (ranka == rankb)
return true;
else if (3 <= ranka && ranka <= 4 &&
3 <= rankb && rankb <= 4)
return true;
else if (5 <= ranka && ranka <= 16 &&
5 <= rankb && rankb <= 16)
return true;
else if (16 <= ranka && ranka <= 256 &&
16 <= rankb && rankb <= 256)
return true;
else
return false;
}
function find(node) {
if (prec[node] == node)
return node;
else {
if (sameIntervalLNstar(rank[node], rank[prec[node]]))
money[node]--;
result = find(prec[node]);
if (ISPATHCOMPRESSION())
prec[node] = result;
return result;
}
}
function union(nodex, nodey) {
var rx = find(nodex);
var ry = find(nodey);
if (rank[rx] < rank[ry]) { //ry is now the root
prec[rx] = ry;
money[ry] = 2 ^ ry;
}
else { //rx is now the root
prec[ry] = rx;
money[ry] = 2 ^ ry;
rank[rx] = rank[ry];
if (rank[rx] == rank[ry])
rank[rx] = rank[ry] + 1;
}
}
/*return the width of a node*/
function getWidth(node) {
if (isLeaf(node))
return 2 * (nodeRadius + spaceBetweenTrees);
else {
var successors = getSucc(node);
var sum = 0;
for (nodei in successors) {
var succ = successors[nodei];
sum = sum + getWidth(succ);
}
return sum;
}
}
var nodeRadius = 12;
var spaceBetweenTrees = nodeRadius;
function drawNode(context, node, x0, y0) {
context.beginPath();
context.arc(x0, y0, nodeRadius, 0, Math.PI * 2, false);
context.fillStyle = 'white';
context.fill();
context.stroke();
context.fillStyle = 'black';
context.font = "bold 16px sans-serif";
context.fillText(getName(node), x0 - 3, y0 + 3);
if (DISPLAYRANK()) {
context.fillStyle = 'green';
context.font = "bold 12px sans-serif";
context.fillText(rank[node], x0 - 20, y0);
}
if (DISPLAYMONEY()) {
context.fillStyle = '#BB5C00'; //orange
context.font = "bold 12px sans-serif";
context.fillText(money[node], x0 - 20, y0 + 20);
}
}
function draw(context, node, x0, y0) {
var successors = getSucc(node);
var width = getWidth(node);
var posx = x0 - width / 2;
for (var nodei in successors) {
var succ = successors[nodei];
var succWidth = getWidth(succ);
posx = posx + succWidth / 2;
context.beginPath();
context.moveTo(x0, y0);
context.lineTo(posx, y0 + 48);
context.stroke();
context.closePath();
draw(context, succ, posx, y0 + 48);
posx = posx + succWidth / 2;
}
// alert(x0 + width/2 - posx);
drawNode(context, node, x0, y0);
}
function compute() {
clear();
add(a);
add(b);
add(c);
add(d);
add(e);
add(f);
add(g);
add(h);
add(i);
add(j);
add(k);
add(l);
add(m);
add(n);
add(o);
add(p);
add(q);
add(r);
add(s);
add(t);
add(u);
add(v);
add(w);
add(x);
add(y);
add(z);
eval(document.getElementById('code').value);
//union(a, b);
//union(a, c);
paintAll();
}
function paintAll() {
var canvas = document.getElementById('canvas');
canvas.width = canvas.width; // to clear
var context = canvas.getContext('2d');
var roots = getRoots();
var posx = nodeRadius * 2;
var y0 = nodeRadius * 2;
for (var rooti in roots) {
var succ = roots[rooti];
var succWidth = getWidth(succ);
posx = posx + succWidth / 2;
draw(context, succ, posx, y0 + 48);
posx = posx + succWidth / 2 + spaceBetweenTrees;
}
}
window.onload = compute;
function loadexample() {
document.getElementById('code').value = " union(a, b);\n \
union(c, d);\n \
union(a, c);\n \
union(e, f);\n \
union(a, f);\n \
\n \
union(g, h); \n \
union(i, j);\n \
union(g, i);\n \
union(k, l);\n \
union(g, l); \n \
\n \
union(a, l); \n \
\n \
union(m, n); \n \
union(o, p); \n \
union(m, o); \n \
union(q, r); \n \
union(m, r); \n \
\n \
union(s, t); \n \
union(u, v); \n \
union(s, u); \n \
union(w, x); \n \
union(s, x); \n \
\n \
union(m, s); \n \
\n \
union(l, s);";
compute();
}
</script>
<h1>Union-find</h1>
<br /><br />
<table>
<tr>
<td>
Here you may write things as "union(e, x);" or just "find(c);"...
<button onclick="loadexample();">Load example</button>
<textarea rows="28" cols="30" id="code" onkeyup="compute();"></textarea>
</td>
<td>
<input id="checkboxPathCompression" type="checkbox" onclick="compute()" /><label
for="checkboxPathCompression">Path compression</label>
<br />
<input id="checkboxInfo" type="checkbox" onclick="compute()" /><label for="checkboxInfo">In green: ranks, In orange: money
that is earned by
nodes (amortized analysis)</label>
<canvas width="1500" height="500" id="canvas" onclick="compute();">
</canvas>
</td>
</tr>
</table>
</body>
</html>