mirror of
https://github.com/osmarks/website
synced 2024-11-16 15:44:47 +00:00
469 lines
18 KiB
HTML
469 lines
18 KiB
HTML
|
---
|
||
|
|
title: Tic-Tac-Toe (4³)
|
||
|
|
description: Your favourite* tic-tac-toe game in 3 dimensions, transplanted onto the main website via a slightly horrifically manual process! Technically this game is solved and always leads to player 1 winning with optimal play, but the AI is not good enough to do that without more compute!
|
||
|
|
slug: tictactoe
|
||
|
|
---
|
||
|
|
<style>
|
||
|
|
.row {
|
||
|
|
width: fit-content;
|
||
|
|
height: 4em;
|
||
|
|
}
|
||
|
|
.layer {
|
||
|
|
margin: 1em;
|
||
|
|
width: fit-content;
|
||
|
|
border: 1px solid black;
|
||
|
|
display: inline-block;
|
||
|
|
}
|
||
|
|
.cell {
|
||
|
|
width: 4em;
|
||
|
|
height: 4em;
|
||
|
|
display: inline-block;
|
||
|
|
border: 1px solid gray;
|
||
|
|
}
|
||
|
|
.cell-1 {
|
||
|
|
background: blue;
|
||
|
|
}
|
||
|
|
.cell-2 {
|
||
|
|
background: red;
|
||
|
|
}
|
||
|
|
.highlight {
|
||
|
|
background: yellow;
|
||
|
|
width: 50%;
|
||
|
|
height: 50%;
|
||
|
|
top: 25%;
|
||
|
|
left: 25%;
|
||
|
|
position: relative;
|
||
|
|
}
|
||
|
|
.view3d .layer {
|
||
|
|
display: block;
|
||
|
|
margin-bottom: 0;
|
||
|
|
margin-top: 0;
|
||
|
|
transform: rotateX(60deg) rotateZ(-45.8deg);
|
||
|
|
margin-left: 4em;
|
||
|
|
}
|
||
|
|
.view3d .layer + .layer {
|
||
|
|
margin-top: -4em;
|
||
|
|
}
|
||
|
|
.control, .control button, .control select {
|
||
|
|
border: 1px solid black;
|
||
|
|
border-radius: 0;
|
||
|
|
padding: 0.3em;
|
||
|
|
}
|
||
|
|
.control select {
|
||
|
|
transform: translateY(-1px)
|
||
|
|
}
|
||
|
|
#info {
|
||
|
|
font-size: 1.5em;
|
||
|
|
padding: 1rem;
|
||
|
|
}
|
||
|
|
</style>
|
||
|
|
</head>
|
||
|
|
<body>
|
||
|
|
<div id="screen"></div>
|
||
|
|
<div id="info"></div>
|
||
|
|
<div id="controls">
|
||
|
|
<button id="rotate" class="control">Rotate View</button>
|
||
|
|
<span class="control"><input type="checkbox" name="view3d" id="view3d"><label for="view3d">3D</label></span>
|
||
|
|
<span class="control"><input type="checkbox" name="lineassist" id="lineassist"><label for="lineassist">Line Assist</label></span>
|
||
|
|
<span class="control">
|
||
|
|
<select id="opponent">
|
||
|
|
<option value="ai1">"AI" v1</option>
|
||
|
|
<option value="ai2">"AI" v2</option>
|
||
|
|
<option value="human">Local Human</option>
|
||
|
|
</select>
|
||
|
|
Select Opponent
|
||
|
|
</span>
|
||
|
|
</div>
|
||
|
|
<script id="game-logic">
|
||
|
|
var size = 4
|
||
|
|
var gsize = size ** 3
|
||
|
|
var grid = new Uint8Array(gsize)
|
||
|
|
var range = Array(size).fill(null).map((_, index) => index)
|
||
|
|
|
||
|
|
function packCoord([l, r, c]) {
|
||
|
|
return l + r * size + c * size * size
|
||
|
|
}
|
||
|
|
|
||
|
|
function cartesianProduct(xss) {
|
||
|
|
var prods = [[]]
|
||
|
|
for (const xs of xss) {
|
||
|
|
prods = xs.flatMap(x => prods.map(p => p.concat([x])))
|
||
|
|
}
|
||
|
|
return prods
|
||
|
|
}
|
||
|
|
function rotateArray(xs, by) {
|
||
|
|
return xs.slice(by).concat(xs.slice(0, by))
|
||
|
|
}
|
||
|
|
function zip(xs, ys) {
|
||
|
|
return xs.map((x, i) => [x, ys[i]])
|
||
|
|
}
|
||
|
|
var inPlaneDiagonals = cartesianProduct([[zip(range, range), zip(range, range.map(x => x).reverse())], range]).map(([diag, a]) => diag.map(([b, c]) => [a, b, c]))
|
||
|
|
var throughLayerLines = cartesianProduct([range, range]).map(withinLayerPosition => range.map(i => withinLayerPosition.concat([i]))).concat(inPlaneDiagonals)
|
||
|
|
var winConditions = throughLayerLines.concat(throughLayerLines.map(l => l.map(c => rotateArray(c, 1))), throughLayerLines.map(l => l.map(c => rotateArray(c, 2))))
|
||
|
|
|
||
|
|
function insertDiagonalFrom(row, cell) {
|
||
|
|
var diagonal = []
|
||
|
|
var dirR = row == 0 ? 1 : -1
|
||
|
|
var dirC = cell == 0 ? 1 : -1
|
||
|
|
for (var layer = 0; layer < size; layer++) {
|
||
|
|
diagonal.push([layer, row, cell])
|
||
|
|
row += dirR
|
||
|
|
cell += dirC
|
||
|
|
}
|
||
|
|
winConditions.push(diagonal)
|
||
|
|
}
|
||
|
|
insertDiagonalFrom(0, 0)
|
||
|
|
insertDiagonalFrom(0, size - 1)
|
||
|
|
insertDiagonalFrom(size - 1, 0)
|
||
|
|
insertDiagonalFrom(size - 1, size - 1)
|
||
|
|
winConditions = winConditions.map(w => w.map(packCoord))
|
||
|
|
|
||
|
|
var lineLookup = Array(gsize).fill(null).map((_, index) => winConditions.map((w, c) => [w, c]).filter(([w, c]) => w.includes(index)).map(x => x[0]))
|
||
|
|
|
||
|
|
function containsWin(grid, last) {
|
||
|
|
outer: for (var winCondition of (last ? lineLookup[last] : winConditions)) {
|
||
|
|
var fst = grid[winCondition[0]]
|
||
|
|
for (var i = 1; i < winCondition.length; i++) {
|
||
|
|
var val = grid[winCondition[i]]
|
||
|
|
if (val != fst || val == 0) {
|
||
|
|
continue outer
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return fst
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
function unfilledLineLocation(grid, player, last) {
|
||
|
|
outer: for (var winCondition of (last ? lineLookup[last] : winConditions)) {
|
||
|
|
var count = 0
|
||
|
|
var last = null
|
||
|
|
for (var i = 0; i < winCondition.length; i++) {
|
||
|
|
if (grid[winCondition[i]] === player) {
|
||
|
|
count++
|
||
|
|
} else if (grid[winCondition[i]] == 0) {
|
||
|
|
last = winCondition[i]
|
||
|
|
} else {
|
||
|
|
continue outer
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (count == size - 1) { return last }
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// heuristic score for minmax - rate position based on difference in uncontested lines
|
||
|
|
function heuristicScore(grid, player) {
|
||
|
|
var self = 0
|
||
|
|
var other = 0
|
||
|
|
outer: for (var winCondition of winConditions) {
|
||
|
|
var count = 0
|
||
|
|
var fst = null
|
||
|
|
for (var i = 0; i < winCondition.length; i++) {
|
||
|
|
var val = grid[winCondition[i]]
|
||
|
|
if (val != 0) {
|
||
|
|
if (!fst) {
|
||
|
|
fst = val
|
||
|
|
}
|
||
|
|
if (val != fst) {
|
||
|
|
continue outer
|
||
|
|
} else {
|
||
|
|
count++
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (count > 0) {
|
||
|
|
if (fst === player) {
|
||
|
|
self += 1 << count
|
||
|
|
} else {
|
||
|
|
other += 1 << count
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return self - other
|
||
|
|
}
|
||
|
|
|
||
|
|
function possibleMoves(grid) {
|
||
|
|
var out = []
|
||
|
|
for (var i = 0; i < gsize; i++) {
|
||
|
|
if (!grid[i]) {
|
||
|
|
out.push(i)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return out
|
||
|
|
}
|
||
|
|
|
||
|
|
function set(grid, cell, val) {
|
||
|
|
var out = new Uint8Array(grid.length)
|
||
|
|
out.set(grid)
|
||
|
|
out[cell] = val
|
||
|
|
return out
|
||
|
|
}
|
||
|
|
|
||
|
|
function otherPlayer(p) {
|
||
|
|
return 3 - p
|
||
|
|
}
|
||
|
|
|
||
|
|
function randomPick(xs) {
|
||
|
|
return xs[Math.floor(xs.length * Math.random())]
|
||
|
|
}
|
||
|
|
|
||
|
|
function hash(ar, seed=0) {
|
||
|
|
let h1 = 0xdeadbeef ^ seed, h2 = 0x41c6ce57 ^ seed
|
||
|
|
for (let i = 0, ch; i < ar.length; i++) {
|
||
|
|
ch = ar[i]
|
||
|
|
h1 = Math.imul(h1 ^ ch, 2654435761)
|
||
|
|
h2 = Math.imul(h2 ^ ch, 1597334677)
|
||
|
|
}
|
||
|
|
h1 = Math.imul(h1 ^ (h1>>>16), 2246822507) ^ Math.imul(h2 ^ (h2>>>13), 3266489909)
|
||
|
|
//h2 = Math.imul(h2 ^ (h2>>>16), 2246822507) ^ Math.imul(h1 ^ (h1>>>13), 3266489909)
|
||
|
|
return /*4294967296 * (2097151 & h2) + */(h1>>>0)
|
||
|
|
}
|
||
|
|
|
||
|
|
function runRandomGame(grid, player) {
|
||
|
|
var targetPlayer = player
|
||
|
|
while (true) {
|
||
|
|
var moves = possibleMoves(grid)
|
||
|
|
if (moves.length === 0) {
|
||
|
|
return 0
|
||
|
|
}
|
||
|
|
var move = randomPick(moves)
|
||
|
|
grid = set(grid, move, player)
|
||
|
|
var winner = containsWin(grid, move)
|
||
|
|
if (winner === targetPlayer) {
|
||
|
|
return 1
|
||
|
|
} else if (winner === otherPlayer(targetPlayer) || unfilledLineLocation(grid, otherPlayer(player), move)) {
|
||
|
|
return -1
|
||
|
|
}
|
||
|
|
player = otherPlayer(player)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
function scoreGrid(grid, player) {
|
||
|
|
let score = 0
|
||
|
|
for (let i = 0; i < 128; i++) {
|
||
|
|
score += runRandomGame(grid, player)
|
||
|
|
}
|
||
|
|
return score
|
||
|
|
}
|
||
|
|
|
||
|
|
function brokenMctsPolicy(grid, player) {
|
||
|
|
// hardcoded limited nonstupidity
|
||
|
|
var nextLoc = unfilledLineLocation(grid, player)
|
||
|
|
if (nextLoc != null) { return nextLoc }
|
||
|
|
nextLoc = unfilledLineLocation(grid, otherPlayer(player))
|
||
|
|
if (nextLoc != null) { return nextLoc }
|
||
|
|
|
||
|
|
var bestscore = -Infinity
|
||
|
|
var best = null
|
||
|
|
var moves = possibleMoves(grid)
|
||
|
|
for (const p of moves) {
|
||
|
|
var optn = scoreGrid(set(grid, p, player), player)
|
||
|
|
if (optn > bestscore) {
|
||
|
|
bestscore = optn
|
||
|
|
best = p
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return best
|
||
|
|
}
|
||
|
|
|
||
|
|
function minimax(grid, depth, forPlayer, maximizingPlayer, alpha, beta, last=null) {
|
||
|
|
var winner = containsWin(grid, last)
|
||
|
|
if (winner) {
|
||
|
|
return winner === forPlayer ? 100000 : -100000
|
||
|
|
}
|
||
|
|
if (depth === 0) {
|
||
|
|
return heuristicScore(grid, forPlayer)
|
||
|
|
}
|
||
|
|
var moves = possibleMoves(grid)
|
||
|
|
if (moves.length === 0) { // draw
|
||
|
|
return 99999
|
||
|
|
}
|
||
|
|
if (maximizingPlayer) {
|
||
|
|
var value = -Infinity
|
||
|
|
for (var move of moves) {
|
||
|
|
value = Math.max(value, minimax(set(grid, move, forPlayer), depth - 1, forPlayer, false, alpha, beta, move))
|
||
|
|
if (value >= beta) {
|
||
|
|
break
|
||
|
|
}
|
||
|
|
alpha = Math.max(alpha, value)
|
||
|
|
}
|
||
|
|
return value
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
value = Infinity
|
||
|
|
for (var move of moves) {
|
||
|
|
value = Math.min(value, minimax(set(grid, move, otherPlayer(forPlayer)), depth - 1, forPlayer, true, alpha, beta, move))
|
||
|
|
if (value <= alpha) {
|
||
|
|
break
|
||
|
|
}
|
||
|
|
beta = Math.min(beta, value)
|
||
|
|
}
|
||
|
|
return value
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
function minimaxPolicy(grid, player) {
|
||
|
|
var best = -Infinity
|
||
|
|
var optn = null
|
||
|
|
for (var move of possibleMoves(grid)) {
|
||
|
|
var r = minimax(set(grid, move, player), 3, player, false, -Infinity, Infinity)
|
||
|
|
if (r > best) {
|
||
|
|
optn = move
|
||
|
|
best = r
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return optn
|
||
|
|
}
|
||
|
|
|
||
|
|
var policies = {
|
||
|
|
ai1: brokenMctsPolicy,
|
||
|
|
ai2: minimaxPolicy
|
||
|
|
}
|
||
|
|
</script>
|
||
|
|
<script>
|
||
|
|
// copyright (2022 CE) © © © osmarks.net hypercomputational tetrational metahexagonal industrial - unsigned integer division
|
||
|
|
var workerGlue = `
|
||
|
|
onmessage = event => {
|
||
|
|
var [policy, ...args] = event.data
|
||
|
|
postMessage(policies[policy](...args))
|
||
|
|
}
|
||
|
|
`
|
||
|
|
var highlight = new Uint8Array(gsize)
|
||
|
|
var worker = new Worker(`data:application/javascript;base64,${btoa(document.getElementById("game-logic").innerHTML + workerGlue)}`)
|
||
|
|
var screen = document.getElementById("screen")
|
||
|
|
var info = document.getElementById("info")
|
||
|
|
var rotation = 0
|
||
|
|
document.getElementById("rotate").onclick = () => {
|
||
|
|
rotation += 1
|
||
|
|
rotation %= 3
|
||
|
|
render()
|
||
|
|
}
|
||
|
|
|
||
|
|
function set3D() {
|
||
|
|
if (document.getElementById("view3d").checked) {
|
||
|
|
screen.classList.add("view3d")
|
||
|
|
} else {
|
||
|
|
screen.classList.remove("view3d")
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
document.getElementById("view3d").onclick = set3D
|
||
|
|
set3D()
|
||
|
|
|
||
|
|
var currentPlayer = 1
|
||
|
|
|
||
|
|
var gameOver = false
|
||
|
|
|
||
|
|
function render() {
|
||
|
|
var html = ""
|
||
|
|
for (var l = 0; l < size; l++) {
|
||
|
|
html += '<div class="layer">'
|
||
|
|
for (var r = 0; r < size; r++) {
|
||
|
|
html += '<div class="row">'
|
||
|
|
for (var c = 0; c < size; c++) {
|
||
|
|
var coord = packCoord(rotateArray([l, r, c], rotation))
|
||
|
|
var hl = ""
|
||
|
|
if (highlight[coord]) {
|
||
|
|
hl = `<div class="highlight" style="background: hsl(${highlight[coord] * 20 + 40}deg, 100%, 60%)"></div>`
|
||
|
|
}
|
||
|
|
html += `<div class="cell cell-${grid[coord]}" id="cell-${coord}">${hl}</div>`
|
||
|
|
}
|
||
|
|
html += '</div>'
|
||
|
|
}
|
||
|
|
html += '</div>'
|
||
|
|
}
|
||
|
|
screen.innerHTML = html
|
||
|
|
if (!gameOver) info.innerHTML = `Player ${currentPlayer}'s turn`
|
||
|
|
}
|
||
|
|
|
||
|
|
function reset() {
|
||
|
|
gameOver = false
|
||
|
|
grid = new Uint8Array(gsize)
|
||
|
|
currentPlayer = 1
|
||
|
|
render()
|
||
|
|
}
|
||
|
|
|
||
|
|
var opponent = document.querySelector("#opponent")
|
||
|
|
|
||
|
|
function opponentIsAI() {
|
||
|
|
return opponent.value.startsWith("ai")
|
||
|
|
}
|
||
|
|
|
||
|
|
function onTurn(move) {
|
||
|
|
if (gameOver) return true
|
||
|
|
grid[move] = currentPlayer
|
||
|
|
currentPlayer = otherPlayer(currentPlayer)
|
||
|
|
render()
|
||
|
|
var winner = containsWin(grid)
|
||
|
|
var isDraw = possibleMoves(grid).length === 0
|
||
|
|
if (winner != null || isDraw) {
|
||
|
|
setTimeout(() => {
|
||
|
|
if (winner) {
|
||
|
|
info.innerHTML = `${winner} wins! Click to reset.`
|
||
|
|
} else {
|
||
|
|
info.innerHTML = "Draw! Click to reset."
|
||
|
|
}
|
||
|
|
var el = () => {
|
||
|
|
reset()
|
||
|
|
info.removeEventListener("click", el)
|
||
|
|
}
|
||
|
|
info.addEventListener("click", el)
|
||
|
|
gameOver = true
|
||
|
|
})
|
||
|
|
return true
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
function findTarget(ev) {
|
||
|
|
var target = ev.target
|
||
|
|
if (target.classList.contains("highlight")) {
|
||
|
|
return target.parentNode
|
||
|
|
} else {
|
||
|
|
return target
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
worker.onmessage = event => {
|
||
|
|
onTurn(event.data)
|
||
|
|
}
|
||
|
|
|
||
|
|
var holdHighlight = false
|
||
|
|
|
||
|
|
screen.onmousemove = event => {
|
||
|
|
var [start, coord] = findTarget(event).id.split("-")
|
||
|
|
var coord = parseInt(coord)
|
||
|
|
if (holdHighlight) {
|
||
|
|
if (event.shiftKey) {
|
||
|
|
holdHighlight = !holdHighlight
|
||
|
|
}
|
||
|
|
return
|
||
|
|
}
|
||
|
|
highlight = new Uint8Array(gsize)
|
||
|
|
if (!isNaN(coord) && typeof coord == "number" && start == "cell" && document.getElementById("lineassist").checked) {
|
||
|
|
highlight = new Uint8Array(gsize)
|
||
|
|
for (var [line, id] of lineLookup[coord].map((x, i) => [x, i])) {
|
||
|
|
for (var pos of line) {
|
||
|
|
highlight[pos] = id + 1
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if (event.shiftKey) {
|
||
|
|
holdHighlight = true
|
||
|
|
}
|
||
|
|
render()
|
||
|
|
return
|
||
|
|
}
|
||
|
|
|
||
|
|
screen.onclick = event => {
|
||
|
|
if (gameOver) return
|
||
|
|
holdHighlight = false
|
||
|
|
if (currentPlayer != 1 && opponentIsAI()) { return }
|
||
|
|
var [start, coord] = findTarget(event).id.split("-")
|
||
|
|
var coord = parseInt(coord)
|
||
|
|
if (isNaN(coord) || typeof coord != "number" || start != "cell") { return }
|
||
|
|
if (grid[coord]) { return }
|
||
|
|
if (!onTurn(coord) && opponentIsAI()) {
|
||
|
|
worker.postMessage([opponent.value, grid, currentPlayer])
|
||
|
|
}
|
||
|
|
}
|
||
|
|
render()
|
||
|
|
</script>
|