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graph_puzzle.html
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<!DOCTYPE html>
<html>
<head>
<title>Graph Puzzle</title>
<link rel="icon" href="res/favicon.ico">
<script type="text/javascript">
const tau = 2 * Math.PI;
const viewSize = 5;
const nodeSize = 0.02 * viewSize;
const arrowAngle = 0.1 * tau;
const arrowLen = 0.02 * viewSize;
function swap(a, i, j) {
const x = a[i];
a[i] = a[j];
a[j] = x;
}
function popSwap(a, i) {
const x = a[i];
const y = a.pop();
if (i < a.length) a[i] = y;
return x;
}
function clamp(x, hi = 1, lo = 0) {
return x <= lo ? lo : x >= hi ? hi : x;
}
function fmod(x, y = 1) {
const z = x / y;
return (z - Math.floor(z)) * y;
}
function rgb2str(r, g, b) {
const ch = x => {
const s = Math.floor(clamp(x * 256, 255)).toString(16);
if (s.length > 2) return 'ff';
if (s.length == 0) return '00';
if (s.length == 1) return '0' + s;
return s;
}
return `#${ch(r)}${ch(g)}${ch(b)}ff`;
}
function hsv2rgb(h, s = 1, v = 1) {
const i = fmod(h) * 6.0;
const c = v * s;
const m = v - c;
const x = c * (1 - Math.abs(fmod(i, 2) - 1)) + m;
const d = c + m;
if (i < 1) return rgb2str(d, x, m);
if (i < 2) return rgb2str(x, d, m);
if (i < 3) return rgb2str(m, d, x);
if (i < 4) return rgb2str(m, x, d);
if (i < 5) return rgb2str(x, m, d);
return rgb2str(d, m, x);
}
let game = null;
function onLoad() {
game = new Game(document.getElementById('view'));
}
window.addEventListener('load', onLoad);
class GraphNode {
constructor(id, total, cid, group, cycle, anti, px, py) {
this.id = id;
this.cid = cid;
this.group = group;
this.cycle = cycle;
this.anti = anti;
this.links = new Set();
this.px = px;
this.py = py;
}
link(other) {
if (this == other) return false;
if (this.links.has(other)) return false;
this.links.add(other);
other.links.add(this);
return true;
}
}
class Graph {
constructor() {
this.zoom = 1;
this.camx = 0;
this.camy = 0;
this.heldNode = null;
this.selectedNodes = [];
this.nodes = [];
this.createNodes([
[0, 0, -2, 0, [1, 2, 3], 4], [1, 0, -0.5, 0.866, [3, 2, 0], 6],
[2, 0, -0.5, -0.866, [0, 1, 3], 5], [3, 0, -1, 0, [0, 2, 1], 7],
[5, 1, 2, 0, [5, 6, 7], 0], [6, 1, 0.5, 0.866, [7, 6, 4], 2],
[4, 1, 0.5, -0.866, [4, 5, 7], 1], [7, 1, 1, 0, [4, 6, 5], 3],
], [
[0, 1], [0, 2], [0, 3], [1, 2], [1, 3], [2, 3],
[4, 5], [4, 6], [4, 7], [5, 6], [5, 7], [6, 7],
]);
}
createNodes(nodeSpec, linkSpec) {
this.nodes = [];
for (let i = 0; i < nodeSpec.length; ++i) {
const [cid, group, px, py, cycle, anti] = nodeSpec[i];
this.nodes.push(new GraphNode(
i, nodeSpec.length, cid, group, cycle, anti, px, py));
}
for (let i = 0; i < linkSpec.length; ++i) {
const [i0, i1] = linkSpec[i];
this.nodes[i0].link(this.nodes[i1]);
}
}
dfs(node, visited) {
if (visited.has(node)) return;
visited.add(node);
for (const m of node.links) this.dfs(m, visited);
}
draw(drawLink, drawNode) {
// Draw all the links.
const tx = x => (x - this.camx) / this.zoom;
const ty = y => (y - this.camy) / this.zoom;
const size = this.nodes.length;
for (let i = 1; i < size; ++i) {
const n = this.nodes[i];
for (let j = 0; j < i; ++j) {
const m = this.nodes[j];
if (n.links.has(m)) {
drawLink(tx(n.px), ty(n.py), tx(m.px), ty(m.py), '#444');
}
}
}
// Draw selected node halos, cycles, and anti-nodes.
const rx = Math.cos(arrowAngle);
const ry = Math.sin(arrowAngle);
for (const n of this.selectedNodes) {
drawNode(tx(n.px), ty(n.py), '#FFF', 1.3);
drawNode(tx(n.px), ty(n.py), '#000', 1.15);
const an = this.nodes[n.anti];
drawNode(tx(an.px), ty(an.py), '#444', 1.3);
drawNode(tx(an.px), ty(an.py), '#000', 1.15);
for (let i = 0; i < n.cycle.length; ++i) {
const m0 = this.nodes[n.cycle[i]];
const m1 = this.nodes[n.cycle[(i + 1) % n.cycle.length]];
const dx = m0.px - m1.px;
const dy = m0.py - m1.py;
const d = Math.sqrt(dx * dx + dy * dy);
const ux = dx / d;
const uy = dy / d;
const a0x = arrowLen * (ux * rx - uy * ry);
const a0y = arrowLen * (uy * rx + ux * ry);
const a1x = arrowLen * (ux * rx + uy * ry);
const a1y = arrowLen * (uy * rx - ux * ry);
const zx = m1.px + nodeSize * ux;
const zy = m1.py + nodeSize * uy;
drawLink(tx(m0.px), ty(m0.py), tx(zx), ty(zy), '#FFF');
drawLink(tx(zx), ty(zy), tx(zx + a0x), ty(zy + a0y), '#FFF');
drawLink(tx(zx), ty(zy), tx(zx + a1x), ty(zy + a1y), '#FFF');
drawLink(
tx(zx + a0x), ty(zy + a0y), tx(zx + a1x), ty(zy + a1y), '#FFF');
}
}
// Draw all the nodes.
const clr = i => hsv2rgb(i / size - 0.04);
for (let i = 0; i < size; ++i) {
const n = this.nodes[i];
drawNode(tx(n.px), ty(n.py), clr(n.id));
drawNode(tx(n.px), ty(n.py), '#000', 0.6);
drawNode(tx(n.px), ty(n.py), clr(n.cid), 0.5);
}
}
onClickDown(rawx, rawy, hitrad) {
const px = this.camx + rawx * this.zoom;
const py = this.camy + rawy * this.zoom;
let minr = Infinity;
let mini = -1;
for (let i = 0; i < this.nodes.length; ++i) {
const n = this.nodes[i];
const dx = px - n.px;
const dy = py - n.py;
const dist = Math.sqrt(dx * dx + dy * dy);
if (dist < minr) {
minr = dist;
mini = i;
}
}
if (minr < hitrad * this.zoom) {
this.heldNode = mini;
const find1 = this.selectedNodes.findIndex(n => n.id == mini);
if (find1 != -1) {
popSwap(this.selectedNodes, find1);
} else {
const ming = this.nodes[mini].group;
const find2 = this.selectedNodes.findIndex(n => n.group == ming);
const find3 = this.selectedNodes.findIndex(n => n.group != ming);
if (find3 == -1 || this.selectedNodes[find3].anti != mini) {
if (find2 != -1) {
popSwap(this.selectedNodes, find2);
}
this.selectedNodes.push(this.nodes[mini]);
}
}
} else {
this.heldNode = null;
}
}
onClickMove(rawx, rawy) {
/*if (this.heldNode == null) return;
const px = this.camx + rawx * this.zoom;
const py = this.camy + rawy * this.zoom;
this.nodes[this.heldNode].px = px;
this.nodes[this.heldNode].py = py;*/
}
onClickUp() {
this.heldNode = null;
}
onKeyDown(e) {
if (e.key != ' ') return;
e.preventDefault();
if (this.selectedNodes.length < 2) return;
for (const n of this.selectedNodes) {
let p = this.nodes[n.cycle[n.cycle.length - 1]].cid;
for (const i of n.cycle) {
const q = this.nodes[i].cid;
this.nodes[i].cid = p;
p = q;
}
}
}
}
function setupCanvas(canvas, viewWidth, lineWidthMul = 1) {
const ctx = canvas.getContext('2d');
ctx.setTransform(
canvas.width / viewWidth, 0,
0, canvas.width / viewWidth,
canvas.width / 2, canvas.height / 2);
ctx.lineWidth = lineWidthMul * viewWidth / canvas.width;
ctx.textAlign = 'center';
ctx.textBaseline = 'middle';
return ctx;
}
class Game {
constructor(canvas) {
this.graph = new Graph();
const ctx = setupCanvas(canvas, viewSize);
canvas.addEventListener('mousedown', e => {
this.graph.onClickDown(
(e.offsetX / canvas.width - 0.5) * viewSize,
(e.offsetY / canvas.height - 0.5) * viewSize,
nodeSize);
});
canvas.addEventListener('mousemove', e => {
this.graph.onClickMove(
(e.offsetX / canvas.width - 0.5) * viewSize,
(e.offsetY / canvas.height - 0.5) * viewSize);
});
canvas.addEventListener('mouseout', e => this.graph.onClickUp());
canvas.addEventListener('mouseup', e => this.graph.onClickUp());
document.addEventListener('keydown', e => this.graph.onKeyDown(e));
const drawCircle = (px, py, r, clr) => {
ctx.fillStyle = clr;
ctx.beginPath();
ctx.ellipse(px, py, r, r, 0, 0, tau);
ctx.fill();
};
const drawNode = (px, py, clr, sizeMult = 1) =>
drawCircle(px, py, nodeSize * sizeMult, clr);
const drawLine = (px, py, qx, qy, clr) => {
ctx.strokeStyle = clr;
ctx.beginPath();
ctx.moveTo(px, py);
ctx.lineTo(qx, qy);
ctx.stroke();
};
const update = () => {
// Clear to black.
ctx.fillStyle = '#000';
ctx.fillRect(-2 * viewSize, -2 * viewSize, 4 * viewSize, 4 * viewSize);
this.graph.draw(drawLine, drawNode);
window.requestAnimationFrame(update);
}
update();
}
}
</script>
<style>
body {
background-color: #212121;
margin: 0;
}
#head {
background-color: #424242;
width: 100%;
display: flex;
justify-content: space-around;
margin-bottom: 16px;
}
h1, #index {
color: #ffc107;
text-align: center;
font-family: monospace;
font-size: 42px;
flex-grow: 1;
padding: 16px;
margin: 0;
}
#index {
color: #ff5722;
text-decoration: none;
flex-grow: 0;
}
h2 {
color: #ff5722;
font-family: monospace;
}
a {
color: #ffc107;
font-family: monospace;
font-size: 16px;
cursor: pointer;
text-decoration: underline;
}
#wrap {
padding: 0 16px;
color: #f5f5f5;
font-family: monospace;
font-size: 16px;
display: flex;
flex-direction: row;
gap: 16px;
}
#instructions {
max-width: 30%;
}
#game {
}
</style>
</head>
<body>
<div id="head">
<a id="index" href="index.html"><</a>
<h1>Graph Puzzle</h1>
</div>
<div id="wrap">
<div id="instructions">
Each node has an inner color and an outer color. The goal is to get the two
colors of each node to match, by moving the inner colors around. The catch
is that the only move you can do is a bit weird.
<br/><br/>
Select one node from each group of four, and press space.
The inner colors of the other 3 nodes in the
group will rotate in the direction of the arrows.
You must always rotate both sides at once.
<br/><br/>
One more restriction is that you can't select two
opposite nodes at the same time (the opposite node
will be grayed out).
</div>
<div id="game">
<canvas id="view" width="800" height="800"></canvas>
</div>
</div>
</body>
</html>