07回しても裏返しても同じ局面を一つの盤に折り重ねる対称の折りたたみ表示
回転四通りと反転を合わせた八つの変換をすべて当てて同じ形を探し、半透明の盤が中央の一か所へ折りたたまれて重なる。
使いどころ数学教育コンテンツ・パズル解説ページ
SYM_COUNTFOLD_MSSPREAD_RMERGE_ALPHA
<main class="stage">
<div class="tt is-demo" id="tt">
<canvas class="tt__canvas" data-role="canvas" width="480" height="300" tabindex="0" aria-label="回しても裏返しても同じ局面を一つの盤に折り重ねる対称の折りたたみ表示"></canvas>
<p class="tt__status" data-role="status" aria-live="polite">Xの番</p>
<button class="tt__btn" data-role="btn" type="button">一時停止</button>
</div>
</main>@use "../../../../site/static/demo-tokens" as *;
@include stage($stage-ink);
.tt {
position: relative;
width: min(92vw, calc(160vh - 12.8vw));
aspect-ratio: 480 / 300;
margin: 0 auto;
border-radius: $r-card;
overflow: hidden;
box-shadow: $shadow-raised;
background: $subject-ink;
}
.tt__canvas {
display: block;
width: 100%;
height: 100%;
touch-action: none;
}
.tt__canvas:focus-visible {
outline: 2px solid rgba(255, 255, 255, .85);
outline-offset: -6px;
}
.tt__status {
position: absolute;
left: $sp-3;
top: $sp-3;
max-width: 62%;
margin: 0;
padding: $sp-1 $sp-3;
border-radius: $r-pill;
background: rgba(255, 255, 255, .85);
color: $subject-ink;
font-weight: 500;
font-size: 11px;
line-height: 1.4;
pointer-events: none;
}
.tt__btn {
position: absolute;
right: $sp-3;
bottom: $sp-3;
margin: 0;
padding: $sp-1 $sp-3;
border: 0;
border-radius: $r-pill;
background: rgba(255, 255, 255, .85);
color: $subject-ink;
font: inherit;
font-weight: 500;
font-size: 12px;
line-height: 1.4;
cursor: pointer;
}
.tt__btn:focus-visible {
outline: 2px solid #ffffff;
outline-offset: 2px;
}
@media (max-width: 340px) {
.tt__btn { font-size: 10px; padding: $sp-1 $sp-2; }
.tt__status { font-size: 10px; }
}
@media (prefers-reduced-motion: reduce) {
.tt { cursor: default; }
}html, body {
margin: 0;
overflow: hidden;
}
.stage {
box-sizing: border-box;
min-height: 100vh;
display: grid;
place-items: center;
margin: 0;
background: #17141a;
font-family: -apple-system, "Segoe UI", "Noto Sans KR", sans-serif;
padding: clamp(8px, 4vw, 24px);
}
.tt {
position: relative;
width: min(92vw, 160vh - 12.8vw);
aspect-ratio: 480/300;
margin: 0 auto;
border-radius: 16px;
overflow: hidden;
box-shadow: 0 14px 24px rgba(23, 20, 26, 0.32);
background: #17141a;
}
.tt__canvas {
display: block;
width: 100%;
height: 100%;
touch-action: none;
}
.tt__canvas:focus-visible {
outline: 2px solid rgba(255, 255, 255, 0.85);
outline-offset: -6px;
}
.tt__status {
position: absolute;
left: 12px;
top: 12px;
max-width: 62%;
margin: 0;
padding: 4px 12px;
border-radius: 999px;
background: rgba(255, 255, 255, 0.85);
color: #17141a;
font-weight: 500;
font-size: 11px;
line-height: 1.4;
pointer-events: none;
}
.tt__btn {
position: absolute;
right: 12px;
bottom: 12px;
margin: 0;
padding: 4px 12px;
border: 0;
border-radius: 999px;
background: rgba(255, 255, 255, 0.85);
color: #17141a;
font: inherit;
font-weight: 500;
font-size: 12px;
line-height: 1.4;
cursor: pointer;
}
.tt__btn:focus-visible {
outline: 2px solid #ffffff;
outline-offset: 2px;
}
@media (max-width: 340px) {
.tt__btn {
font-size: 10px;
padding: 4px 8px;
}
.tt__status {
font-size: 10px;
}
}
@media (prefers-reduced-motion: reduce) {
.tt {
cursor: default;
}
}(function () {
const root = document.getElementById("tt");
if (!root) return;
const W = 480;
const H = 300;
const PI2 = Math.PI * 2;
const FIXED_DT = 16;
const REDUCE_STEP_MS = 900;
const IDLE_TICKS = 150;
const BTN_PAUSE = '一時停止';
const BTN_PLAY = '再生';
const BTN_NEXT = '次の場面';
const TXT_CELL = 'マス';
// 파스텔 팔레트 — 어두운 판 위에 밝은 색을 얹어 명도 차로 읽힌다
const BG = [29, 26, 44];
const TILE = [40, 36, 62];
const MINT = [126, 226, 192];
const SKY = [124, 196, 255];
const LILAC = [190, 164, 255];
const PINK = [255, 160, 190];
const PEACH = [255, 208, 168];
const CREAM = [255, 244, 224];
function clamp(v, lo, hi) { return v < lo ? lo : (v > hi ? hi : v); }
function lerp(a, b, k) { return a + (b - a) * k; }
function smooth(x) { const c = clamp(x, 0, 1); return c * c * (3 - 2 * c); }
function rgba(c, a) {
return 'rgba(' + Math.round(c[0]) + ',' + Math.round(c[1]) + ',' + Math.round(c[2]) + ',' + clamp(a, 0, 1).toFixed(3) + ')';
}
function mix(a, b, k) {
return [lerp(a[0], b[0], k), lerp(a[1], b[1], k), lerp(a[2], b[2], k)];
}
// 시드 고정 난수 — 같은 시드면 언제나 같은 수열 (선형 합동 방식)
function lcg(seed) {
let s = seed >>> 0;
return function () {
s = (Math.imul(s, 1664525) + 1013904223) >>> 0;
return s / 4294967296;
};
}
// 정수 두 개로 0 이상 1 미만의 값을 만드는 해시 (같은 입력은 늘 같은 값)
function hash2(x, y, seed) {
let h = (Math.imul(x | 0, 374761393) + Math.imul(y | 0, 668265263) + Math.imul(seed | 0, 1442695041)) | 0;
h = Math.imul(h ^ (h >>> 13), 1274126177);
h ^= h >>> 16;
return (h >>> 0) / 4294967296;
}
// 값 노이즈 — 격자점 해시 네 개를 부드럽게 섞는다
function noise2(x, y, seed) {
const xi = Math.floor(x);
const yi = Math.floor(y);
const fx = smooth(x - xi);
const fy = smooth(y - yi);
const a = hash2(xi, yi, seed);
const b = hash2(xi + 1, yi, seed);
const c = hash2(xi, yi + 1, seed);
const d = hash2(xi + 1, yi + 1, seed);
return lerp(lerp(a, b, fx), lerp(c, d, fx), fy);
}
function rrect(ctx, x, y, w, h, r) {
const rr = Math.min(r, w / 2, h / 2);
ctx.beginPath();
ctx.moveTo(x + rr, y);
ctx.lineTo(x + w - rr, y);
ctx.arcTo(x + w, y, x + w, y + rr, rr);
ctx.lineTo(x + w, y + h - rr);
ctx.arcTo(x + w, y + h, x + w - rr, y + h, rr);
ctx.lineTo(x + rr, y + h);
ctx.arcTo(x, y + h, x, y + h - rr, rr);
ctx.lineTo(x, y + rr);
ctx.arcTo(x, y, x + rr, y, rr);
ctx.closePath();
}
// 말 하나를 (cx, cy) 에 그린다. p(0~1) 만큼 대시 오프셋으로 획을 긋는다 — who 1 은 X(두 획), 2 는 O(원)
function drawMark(ctx, who, cx, cy, r, p, w, col) {
ctx.save();
ctx.lineWidth = w;
ctx.lineCap = 'round';
ctx.strokeStyle = col;
if (who === 1) {
const d = r * 2 * Math.SQRT2;
for (let k = 0; k < 2; k += 1) {
const pk = clamp(p * 2 - k, 0, 1);
if (pk <= 0.001) {
continue;
}
ctx.setLineDash([d, d]);
ctx.lineDashOffset = d * (1 - pk);
ctx.beginPath();
if (k === 0) {
ctx.moveTo(cx - r, cy - r);
ctx.lineTo(cx + r, cy + r);
}
else {
ctx.moveTo(cx + r, cy - r);
ctx.lineTo(cx - r, cy + r);
}
ctx.stroke();
}
}
else {
const L = PI2 * r;
if (p > 0.001) {
ctx.setLineDash([L, L]);
ctx.lineDashOffset = L * (1 - clamp(p, 0, 1));
ctx.beginPath();
ctx.arc(cx, cy, r, -Math.PI / 2, -Math.PI / 2 + PI2);
ctx.stroke();
}
}
ctx.restore();
}
function mount(root, make) {
const canvas = root.querySelector('[data-role="canvas"]');
const statusEl = root.querySelector('[data-role="status"]');
const btnEl = root.querySelector('[data-role="btn"]');
if (!canvas || !statusEl || !btnEl) {
return function () { return; };
}
const ctx0 = canvas.getContext('2d');
if (!ctx0) {
return function () { return; };
}
const ctx = ctx0;
const dpr = Math.min(window.devicePixelRatio || 1, 2);
canvas.width = Math.round(W * dpr);
canvas.height = Math.round(H * dpr);
ctx.setTransform(dpr, 0, 0, dpr, 0, 0);
const reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
const inp = { x: -1, y: -1, cur: -1, key: false, idle: 99999 };
const scene = make(inp, reduce);
let paused = false;
let focused = false;
let rafId = 0;
let lastTs = -1;
let accMs = 0;
let lastLabel = '';
const cleaners = [];
function listen(target, type, fn) {
target.addEventListener(type, fn);
cleaners.push(function () { target.removeEventListener(type, fn); });
}
function show() {
scene.draw(ctx);
if (inp.key && focused && inp.cur >= 0) {
const r = scene.rect(inp.cur);
ctx.save();
ctx.lineWidth = 2.5;
ctx.strokeStyle = 'rgba(255,255,255,0.92)';
rrect(ctx, r[0] + 2, r[1] + 2, r[2] - 4, r[3] - 4, 8);
ctx.stroke();
ctx.restore();
}
let t = scene.label();
if (inp.key && inp.cur >= 0) {
const n = scene.n();
t += ' · ' + TXT_CELL + ' ' + (Math.floor(inp.cur / n) + 1) + '-' + ((inp.cur % n) + 1);
}
if (t !== lastLabel) {
lastLabel = t;
statusEl.textContent = t;
}
}
function localPoint(e) {
const r = canvas.getBoundingClientRect();
inp.x = clamp((e.clientX - r.left) * W / r.width, 0, W);
inp.y = clamp((e.clientY - r.top) * H / r.height, 0, H);
inp.idle = 0;
inp.key = false;
}
function tick(ts) {
if (lastTs < 0) {
lastTs = ts;
}
const frameDt = Math.min(ts - lastTs, 160);
lastTs = ts;
if (!paused) {
accMs += frameDt;
while (accMs >= FIXED_DT) {
inp.idle += 1;
scene.step();
accMs -= FIXED_DT;
}
show();
}
rafId = requestAnimationFrame(tick);
}
btnEl.textContent = reduce ? BTN_NEXT : BTN_PAUSE;
if (reduce) {
root.classList.remove('is-demo');
scene.auto();
scene.auto();
scene.auto();
show();
}
listen(btnEl, 'click', function () {
if (reduce) {
scene.auto();
show();
return;
}
paused = !paused;
if (paused) {
root.classList.remove('is-demo');
}
else {
root.classList.add('is-demo');
}
btnEl.textContent = paused ? BTN_PLAY : BTN_PAUSE;
});
listen(canvas, 'focus', function () { focused = true; });
listen(canvas, 'blur', function () { focused = false; if (reduce) {
show();
} });
listen(canvas, 'pointermove', function (e) {
localPoint(e);
scene.hover(scene.hit(inp.x, inp.y));
if (reduce) {
show();
}
});
listen(canvas, 'pointerleave', function () { scene.hover(-1); if (reduce) {
show();
} });
listen(canvas, 'pointerdown', function (e) {
localPoint(e);
const i = scene.hit(inp.x, inp.y);
if (i >= 0) {
scene.tap(i);
}
if (reduce) {
show();
}
});
listen(canvas, 'keydown', function (e) {
const ev = e;
const k = ev.key;
const n = scene.n();
const mid = Math.floor((n * n) / 2);
if (k === 'ArrowLeft' || k === 'ArrowRight' || k === 'ArrowUp' || k === 'ArrowDown') {
ev.preventDefault();
if (inp.cur < 0) {
inp.cur = mid;
}
else {
let r = Math.floor(inp.cur / n);
let c = inp.cur % n;
if (k === 'ArrowLeft') {
c = Math.max(0, c - 1);
}
if (k === 'ArrowRight') {
c = Math.min(n - 1, c + 1);
}
if (k === 'ArrowUp') {
r = Math.max(0, r - 1);
}
if (k === 'ArrowDown') {
r = Math.min(n - 1, r + 1);
}
inp.cur = r * n + c;
}
inp.key = true;
inp.idle = 0;
scene.hover(inp.cur);
if (reduce) {
show();
}
return;
}
if (k === 'Enter' || k === ' ') {
ev.preventDefault();
if (inp.cur < 0) {
inp.cur = mid;
}
inp.key = true;
inp.idle = 0;
scene.tap(inp.cur);
if (reduce) {
show();
}
}
});
if (!reduce) {
rafId = requestAnimationFrame(tick);
}
return function () {
cancelAnimationFrame(rafId);
for (let i = 0; i < cleaners.length; i += 1) {
cleaners[i]();
}
};
}
const LINES = [[0, 1, 2], [3, 4, 5], [6, 7, 8], [0, 3, 6], [1, 4, 7], [2, 5, 8], [0, 4, 8], [2, 4, 6]];
const SCORE_WIN = 10;
const TXT_X_TURN = 'Xの番';
const TXT_O_TURN = 'Oの番';
const TXT_X_WIN = 'Xの勝ち';
const TXT_O_WIN = 'Oの勝ち';
const TXT_DRAW = '引き分け';
function newGame() { return { b: [0, 0, 0, 0, 0, 0, 0, 0, 0], turn: 1, over: false, line: -1 }; }
// 완성된 줄의 번호(LINES 안의 위치). 없으면 -1
function lineOf(b) {
for (let k = 0; k < LINES.length; k += 1) {
const l = LINES[k];
if (b[l[0]] !== 0 && b[l[0]] === b[l[1]] && b[l[1]] === b[l[2]]) {
return k;
}
}
return -1;
}
function emptyCells(b) {
const out = [];
for (let i = 0; i < 9; i += 1) {
if (b[i] === 0) {
out.push(i);
}
}
return out;
}
function place(g, i) {
if (g.over || g.b[i] !== 0) {
return false;
}
g.b[i] = g.turn;
g.line = lineOf(g.b);
if (g.line >= 0 || emptyCells(g.b).length === 0) {
g.over = true;
}
else {
g.turn = 3 - g.turn;
}
return true;
}
function gameLabel(g) {
if (g.over) {
return g.line >= 0 ? (g.b[LINES[g.line][0]] === 1 ? TXT_X_WIN : TXT_O_WIN) : TXT_DRAW;
}
return g.turn === 1 ? TXT_X_TURN : TXT_O_TURN;
}
// 전수 탐색 — X 시점 점수. depth 가 0 이 되면 더 보지 않고 0 으로 친다. cnt.n 은 방문한 국면 수
function solve(b, turn, ply, depth, cnt) {
cnt.n += 1;
const w = lineOf(b);
if (w >= 0) {
const s = SCORE_WIN - ply;
if (b[LINES[w][0]] === 1) {
cnt.x += 1;
return s;
}
cnt.o += 1;
return -s;
}
if (depth <= 0) {
return 0;
}
let best = turn === 1 ? -1000 : 1000;
let any = false;
for (let i = 0; i < 9; i += 1) {
if (b[i] !== 0) {
continue;
}
b[i] = turn;
const v = solve(b, 3 - turn, ply + 1, depth - 1, cnt);
b[i] = 0;
any = true;
if (turn === 1 ? v > best : v < best) {
best = v;
}
}
return any ? best : 0;
}
// 둘 곳마다 점수. 이미 찬 칸은 NaN. 둔 사람(turn) 시점이 아니라 X 시점 값이다
function cellScores(b, turn, depth, cnt, per) {
const out = [];
for (let i = 0; i < 9; i += 1) {
if (b[i] !== 0) {
out.push(NaN);
if (per) {
per.push({ n: 0, x: 0, o: 0 });
}
continue;
}
b[i] = turn;
const c = { n: 0, x: 0, o: 0 };
out.push(solve(b, 3 - turn, 1, depth - 1, c));
b[i] = 0;
cnt.n += c.n;
cnt.x += c.x;
cnt.o += c.o;
if (per) {
per.push(c);
}
}
return out;
}
function bestCell(b, turn, depth) {
const cnt = { n: 0, x: 0, o: 0 };
const sc = cellScores(b, turn, depth, cnt);
let best = -1;
for (let i = 0; i < 9; i += 1) {
if (isNaN(sc[i])) {
continue;
}
if (best < 0 || (turn === 1 ? sc[i] > sc[best] : sc[i] < sc[best])) {
best = i;
}
}
return best;
}
function gridRect(i, ox, oy, cs) {
return [ox + (i % 3) * cs, oy + Math.floor(i / 3) * cs, cs, cs];
}
function gridHit(x, y, ox, oy, cs) {
const c = Math.floor((x - ox) / cs);
const r = Math.floor((y - oy) / cs);
return c >= 0 && c < 3 && r >= 0 && r < 3 ? r * 3 + c : -1;
}
const MATCH_DEPTH = 9;
const REPLY_MS = 420;
// 한 판 진행기 — 사람은 X, 컴퓨터는 O. 사람이 가만히 있으면(idle) 둘 다 컴퓨터가 두어 루프를 만든다.
// pick 이 있으면 자동 대국의 수를 그 함수가 정한다. 판이 끝나면 holdMs 뒤에 새 판
function makeMatch(inp, reduce, turnMs, holdMs, seed, depth, onPlace, onReset, pick) {
const rng = lcg(seed);
let t = 0;
let reply = -1;
let hold = 0;
const m = {
g: newGame(),
since: 0,
move(i) {
const who = m.g.turn;
if (place(m.g, i)) {
m.since = 0;
onPlace(i, who);
}
},
tap(i) {
if (m.g.over) {
reset();
return;
}
if (m.g.turn !== 1 || m.g.b[i] !== 0) {
return;
}
m.move(i);
if (!m.g.over) {
if (reduce) {
m.move(bestCell(m.g.b, 2, depth));
}
else {
reply = REPLY_MS;
}
}
},
step() {
m.since += FIXED_DT;
if (m.g.over) {
hold += FIXED_DT;
if (hold >= holdMs) {
reset();
}
return;
}
if (reply >= 0) {
reply -= FIXED_DT;
if (reply < 0) {
m.move(bestCell(m.g.b, 2, depth));
}
return;
}
if (inp.idle > IDLE_TICKS) {
t += FIXED_DT;
if (t >= turnMs) {
t = 0;
autoMove();
}
}
},
auto() {
if (m.g.over) {
reset();
}
else {
autoMove();
}
},
};
function reset() {
m.g = newGame();
t = 0;
reply = -1;
hold = 0;
onReset();
}
function autoMove() {
if (pick) {
const p = pick();
if (p >= 0) {
m.move(p);
}
return;
}
const e = emptyCells(m.g.b);
if (m.g.turn === 1 && (e.length > 6 || rng() < 0.3)) {
m.move(e[Math.floor(rng() * e.length)]);
return;
}
m.move(bestCell(m.g.b, m.g.turn, depth));
}
return m;
}
const SYM_COUNT = 8;
const FOLD_MS = 800;
const MERGE_ALPHA = 0.5;
const SPREAD_R = 104;
const SPREAD_MS = 450;
const HOLD_P = 300;
const SETTLE_MS = 260;
const BIG_SIZE = 120;
const GHOST_SIZE = 66;
const TXT_DISTINCT = '異なる形';
// 회전 4 × 반사 2 = 8 가지 マス 옮기기 — SYM[k][i] 는 i 번 칸이 k 번 변환에서 가는 マス
function buildSym() {
const out = [];
for (let f = 0; f < 2; f += 1) {
for (let r = 0; r < 4; r += 1) {
const perm = [];
for (let i = 0; i < 9; i += 1) {
let row = Math.floor(i / 3);
let col = i % 3;
for (let q = 0; q < r; q += 1) {
const nr = col;
col = 2 - row;
row = nr;
}
if (f === 1) {
col = 2 - col;
}
perm.push(row * 3 + col);
}
out.push(perm);
}
}
return out;
}
const SYM = buildSym();
function applySym(b, perm) {
const out = [0, 0, 0, 0, 0, 0, 0, 0, 0];
for (let i = 0; i < 9; i += 1) {
out[perm[i]] = b[i];
}
return out;
}
const make = function (inp, reduce) {
const rng = lcg(71);
let variants = [];
let canon = 0;
let distinct = 1;
let phase = 0;
let pt = 0;
let hov = -1;
function analyze() {
variants = [];
const keys = [];
for (let k = 0; k < SYM_COUNT; k += 1) {
variants.push(applySym(m.g.b, SYM[k]));
keys.push(variants[k].join(''));
}
canon = 0;
for (let k = 1; k < SYM_COUNT; k += 1) {
if (keys[k] < keys[canon]) {
canon = k;
}
}
distinct = keys.filter(function (v, i) { return keys.indexOf(v) === i; }).length;
}
const m = makeMatch(inp, reduce, 1000000, 1200, 71, MATCH_DEPTH, function () {
analyze();
phase = 0;
pt = 0;
}, function () {
analyze();
phase = 0;
pt = 0;
}, null);
// 첫 판은 세 수를 둔 국면으로 시작
function warm() {
const e0 = emptyCells(m.g.b);
m.move(e0[Math.floor(rng() * e0.length)]);
m.move(bestCell(m.g.b, 2, MATCH_DEPTH));
const e1 = emptyCells(m.g.b);
m.move(e1[Math.floor(rng() * e1.length)]);
analyze();
}
warm();
function ringPos(k, s) {
const a = (k / SYM_COUNT) * PI2 - Math.PI / 2 + Math.PI / SYM_COUNT;
return [W / 2 + Math.cos(a) * SPREAD_R * s, H / 2 + Math.sin(a) * SPREAD_R * s];
}
function drawBoard(ctx, b, cx, cy, size, alpha, outline) {
const x0 = cx - size / 2;
const y0 = cy - size / 2;
const cs = size / 3;
ctx.globalAlpha = alpha;
ctx.fillStyle = rgba(TILE, 1);
rrect(ctx, x0, y0, size, size, size * 0.1);
ctx.fill();
if (outline) {
ctx.strokeStyle = rgba(MINT, 1);
ctx.lineWidth = 2;
rrect(ctx, x0, y0, size, size, size * 0.1);
ctx.stroke();
}
ctx.strokeStyle = rgba(CREAM, 0.22);
ctx.lineWidth = 1;
ctx.beginPath();
for (let q = 1; q < 3; q += 1) {
ctx.moveTo(x0 + q * cs, y0 + size * 0.08);
ctx.lineTo(x0 + q * cs, y0 + size * 0.92);
ctx.moveTo(x0 + size * 0.08, y0 + q * cs);
ctx.lineTo(x0 + size * 0.92, y0 + q * cs);
}
ctx.stroke();
for (let i = 0; i < 9; i += 1) {
if (b[i] === 0) {
continue;
}
drawMark(ctx, b[i], x0 + (i % 3) * cs + cs / 2, y0 + Math.floor(i / 3) * cs + cs / 2, cs * 0.27, 1, Math.max(size * 0.034, 2), rgba(b[i] === 1 ? SKY : PINK, 1));
}
ctx.globalAlpha = 1;
}
function phaseLen() { return phase === 0 ? HOLD_P : (phase === 1 ? SPREAD_MS : (phase === 2 ? FOLD_MS : SETTLE_MS)); }
return {
step() {
m.step();
if (m.g.over) {
return;
}
if (inp.idle <= IDLE_TICKS && phase === 0) {
pt = 0;
return;
}
pt += FIXED_DT;
if (pt >= phaseLen()) {
pt = 0;
phase += 1;
if (phase > 3) {
phase = 0;
if (inp.idle > IDLE_TICKS) {
m.auto();
}
}
}
},
draw(ctx) {
ctx.fillStyle = rgba(BG, 1);
ctx.fillRect(0, 0, W, H);
const real = m.g.b;
const ph = reduce ? 0 : phase;
const q = clamp(pt / phaseLen(), 0, 1);
if (ph === 0 || reduce) {
drawBoard(ctx, real, W / 2, H / 2, BIG_SIZE + 16, 1, false);
if (reduce) {
for (let k = 0; k < SYM_COUNT; k += 1) {
const p = ringPos(k, 1);
drawBoard(ctx, variants[k], p[0], p[1], GHOST_SIZE, 0.85, k === canon);
}
}
return;
}
const spread = ph === 1 ? smooth(q) : 1;
const fold = ph === 2 ? smooth(q) : (ph === 3 ? 1 : 0);
// 중앙 판: 접히는 동안 실제 국면에서 표준 모양으로 서서히 바뀐다
drawBoard(ctx, real, W / 2, H / 2, BIG_SIZE + 16, 1 - fold, false);
if (fold > 0) {
drawBoard(ctx, variants[canon], W / 2, H / 2, BIG_SIZE + 16, fold, false);
}
for (let k = 0; k < SYM_COUNT; k += 1) {
const p0 = ringPos(k, spread);
const p1 = ringPos(k, 1);
const x = lerp(p0[0], W / 2, fold);
const y = lerp(p0[1], H / 2, fold);
const size = lerp(GHOST_SIZE * (0.6 + 0.4 * spread), BIG_SIZE + 16, fold);
const fade = ph === 3 ? Math.max(0, 1 - q * 4) : 1;
if (fade <= 0) {
continue;
}
const a = lerp(0.95, MERGE_ALPHA, fold) * fade;
drawBoard(ctx, variants[k], x, y, size, a * (1 - fold * 0.55), k === canon && fold < 0.7);
void p1;
}
},
label() { return gameLabel(m.g) + (phase >= 1 || reduce ? ' · ' + TXT_DISTINCT + ' ' + distinct + '/' + SYM_COUNT : ''); },
hit(x, y) { return gridHit(x, y, W / 2 - (BIG_SIZE + 16) / 2, H / 2 - (BIG_SIZE + 16) / 2, (BIG_SIZE + 16) / 3); },
hover(i) { hov = i; void hov; },
tap(i) {
// 접히는 동안 가운데 판은 표준 모양으로 바뀌므로, 그동안 누른 칸은 실제 국면의 칸과 어긋난다 — 받지 않는다
if (!reduce && phase >= 2) {
return;
}
m.tap(i);
},
auto() { m.auto(); },
rect(i) { return gridRect(i, W / 2 - (BIG_SIZE + 16) / 2, H / 2 - (BIG_SIZE + 16) / 2, (BIG_SIZE + 16) / 3); },
n() { return 3; },
};
};
return mount(root, make);
})();// TttSymmetryFoldCanonical - vanilla 판(07-ttt-symmetry-fold-canonical) 의 React 포트. 같은 계산을 useEffect 안에서 돌린다.
import { useEffect, useRef } from "react";
import styles from "./TttSymmetryFoldCanonical.module.scss";
const cx = (s: string): string => s.split(" ").map((n) => styles[n] ?? n).join(" ");
export default function TttSymmetryFoldCanonical() {
const rootRef = useRef<HTMLDivElement | null>(null);
useEffect(() => {
const rootEl = rootRef.current;
if (!rootEl) return;
const root: HTMLElement = rootEl;
const W = 480;
const H = 300;
const PI2 = Math.PI * 2;
const FIXED_DT = 16;
const REDUCE_STEP_MS = 900;
const IDLE_TICKS = 150;
const BTN_PAUSE = '멈춤';
const BTN_PLAY = '재생';
const BTN_NEXT = '다음 장면';
const TXT_CELL = '칸';
type RGB = [number, number, number];
interface Input { x: number; y: number; cur: number; key: boolean; idle: number; }
interface Scene {
step(): void;
draw(ctx: CanvasRenderingContext2D): void;
label(): string;
hit(x: number, y: number): number;
hover(i: number): void;
tap(i: number): void;
auto(): void;
rect(i: number): [number, number, number, number];
n(): number;
}
type Maker = (inp: Input, reduce: boolean) => Scene;
// 파스텔 팔레트 — 어두운 판 위에 밝은 색을 얹어 명도 차로 읽힌다
const BG: RGB = [29, 26, 44];
const TILE: RGB = [40, 36, 62];
const MINT: RGB = [126, 226, 192];
const SKY: RGB = [124, 196, 255];
const LILAC: RGB = [190, 164, 255];
const PINK: RGB = [255, 160, 190];
const PEACH: RGB = [255, 208, 168];
const CREAM: RGB = [255, 244, 224];
function clamp(v: number, lo: number, hi: number): number { return v < lo ? lo : (v > hi ? hi : v); }
function lerp(a: number, b: number, k: number): number { return a + (b - a) * k; }
function smooth(x: number): number { const c = clamp(x, 0, 1); return c * c * (3 - 2 * c); }
function rgba(c: RGB, a: number): string {
return 'rgba(' + Math.round(c[0]) + ',' + Math.round(c[1]) + ',' + Math.round(c[2]) + ',' + clamp(a, 0, 1).toFixed(3) + ')';
}
function mix(a: RGB, b: RGB, k: number): RGB {
return [lerp(a[0], b[0], k), lerp(a[1], b[1], k), lerp(a[2], b[2], k)];
}
// 시드 고정 난수 — 같은 시드면 언제나 같은 수열 (선형 합동 방식)
function lcg(seed: number): () => number {
let s = seed >>> 0;
return function (): number {
s = (Math.imul(s, 1664525) + 1013904223) >>> 0;
return s / 4294967296;
};
}
// 정수 두 개로 0 이상 1 미만의 값을 만드는 해시 (같은 입력은 늘 같은 값)
function hash2(x: number, y: number, seed: number): number {
let h = (Math.imul(x | 0, 374761393) + Math.imul(y | 0, 668265263) + Math.imul(seed | 0, 1442695041)) | 0;
h = Math.imul(h ^ (h >>> 13), 1274126177);
h ^= h >>> 16;
return (h >>> 0) / 4294967296;
}
// 값 노이즈 — 격자점 해시 네 개를 부드럽게 섞는다
function noise2(x: number, y: number, seed: number): number {
const xi = Math.floor(x);
const yi = Math.floor(y);
const fx = smooth(x - xi);
const fy = smooth(y - yi);
const a = hash2(xi, yi, seed);
const b = hash2(xi + 1, yi, seed);
const c = hash2(xi, yi + 1, seed);
const d = hash2(xi + 1, yi + 1, seed);
return lerp(lerp(a, b, fx), lerp(c, d, fx), fy);
}
function rrect(ctx: CanvasRenderingContext2D, x: number, y: number, w: number, h: number, r: number): void {
const rr = Math.min(r, w / 2, h / 2);
ctx.beginPath();
ctx.moveTo(x + rr, y);
ctx.lineTo(x + w - rr, y);
ctx.arcTo(x + w, y, x + w, y + rr, rr);
ctx.lineTo(x + w, y + h - rr);
ctx.arcTo(x + w, y + h, x + w - rr, y + h, rr);
ctx.lineTo(x + rr, y + h);
ctx.arcTo(x, y + h, x, y + h - rr, rr);
ctx.lineTo(x, y + rr);
ctx.arcTo(x, y, x + rr, y, rr);
ctx.closePath();
}
// 말 하나를 (cx, cy) 에 그린다. p(0~1) 만큼 대시 오프셋으로 획을 긋는다 — who 1 은 X(두 획), 2 는 O(원)
function drawMark(ctx: CanvasRenderingContext2D, who: number, cx: number, cy: number, r: number, p: number, w: number, col: string): void {
ctx.save();
ctx.lineWidth = w;
ctx.lineCap = 'round';
ctx.strokeStyle = col;
if (who === 1) {
const d = r * 2 * Math.SQRT2;
for (let k = 0; k < 2; k += 1) {
const pk = clamp(p * 2 - k, 0, 1);
if (pk <= 0.001) { continue; }
ctx.setLineDash([d, d]);
ctx.lineDashOffset = d * (1 - pk);
ctx.beginPath();
if (k === 0) { ctx.moveTo(cx - r, cy - r); ctx.lineTo(cx + r, cy + r); }
else { ctx.moveTo(cx + r, cy - r); ctx.lineTo(cx - r, cy + r); }
ctx.stroke();
}
} else {
const L = PI2 * r;
if (p > 0.001) {
ctx.setLineDash([L, L]);
ctx.lineDashOffset = L * (1 - clamp(p, 0, 1));
ctx.beginPath();
ctx.arc(cx, cy, r, -Math.PI / 2, -Math.PI / 2 + PI2);
ctx.stroke();
}
}
ctx.restore();
}
function mount(root: HTMLElement, make: Maker): () => void {
const canvas = root.querySelector('[data-role="canvas"]') as HTMLCanvasElement | null;
const statusEl = root.querySelector('[data-role="status"]') as HTMLElement | null;
const btnEl = root.querySelector('[data-role="btn"]') as HTMLButtonElement | null;
if (!canvas || !statusEl || !btnEl) { return function (): void { return; }; }
const ctx0 = canvas.getContext('2d');
if (!ctx0) { return function (): void { return; }; }
const ctx: CanvasRenderingContext2D = ctx0;
const dpr = Math.min(window.devicePixelRatio || 1, 2);
canvas.width = Math.round(W * dpr);
canvas.height = Math.round(H * dpr);
ctx.setTransform(dpr, 0, 0, dpr, 0, 0);
const reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
const inp: Input = { x: -1, y: -1, cur: -1, key: false, idle: 99999 };
const scene = make(inp, reduce);
let paused = false;
let focused = false;
let rafId = 0;
let lastTs = -1;
let accMs = 0;
let lastLabel = '';
const cleaners: Array<() => void> = [];
function listen(target: EventTarget, type: string, fn: (e: Event) => void): void {
target.addEventListener(type, fn);
cleaners.push(function (): void { target.removeEventListener(type, fn); });
}
function show(): void {
scene.draw(ctx);
if (inp.key && focused && inp.cur >= 0) {
const r = scene.rect(inp.cur);
ctx.save();
ctx.lineWidth = 2.5;
ctx.strokeStyle = 'rgba(255,255,255,0.92)';
rrect(ctx, r[0] + 2, r[1] + 2, r[2] - 4, r[3] - 4, 8);
ctx.stroke();
ctx.restore();
}
let t = scene.label();
if (inp.key && inp.cur >= 0) {
const n = scene.n();
t += ' · ' + TXT_CELL + ' ' + (Math.floor(inp.cur / n) + 1) + '-' + ((inp.cur % n) + 1);
}
if (t !== lastLabel) {
lastLabel = t;
statusEl!.textContent = t;
}
}
function localPoint(e: PointerEvent): void {
const r = canvas!.getBoundingClientRect();
inp.x = clamp((e.clientX - r.left) * W / r.width, 0, W);
inp.y = clamp((e.clientY - r.top) * H / r.height, 0, H);
inp.idle = 0;
inp.key = false;
}
function tick(ts: number): void {
if (lastTs < 0) { lastTs = ts; }
const frameDt = Math.min(ts - lastTs, 160);
lastTs = ts;
if (!paused) {
accMs += frameDt;
while (accMs >= FIXED_DT) {
inp.idle += 1;
scene.step();
accMs -= FIXED_DT;
}
show();
}
rafId = requestAnimationFrame(tick);
}
btnEl.textContent = reduce ? BTN_NEXT : BTN_PAUSE;
if (reduce) {
root.classList.remove('is-demo');
scene.auto();
scene.auto();
scene.auto();
show();
}
listen(btnEl, 'click', function (): void {
if (reduce) { scene.auto(); show(); return; }
paused = !paused;
if (paused) { root.classList.remove('is-demo'); } else { root.classList.add('is-demo'); }
btnEl.textContent = paused ? BTN_PLAY : BTN_PAUSE;
});
listen(canvas, 'focus', function (): void { focused = true; });
listen(canvas, 'blur', function (): void { focused = false; if (reduce) { show(); } });
listen(canvas, 'pointermove', function (e: Event): void {
localPoint(e as PointerEvent);
scene.hover(scene.hit(inp.x, inp.y));
if (reduce) { show(); }
});
listen(canvas, 'pointerleave', function (): void { scene.hover(-1); if (reduce) { show(); } });
listen(canvas, 'pointerdown', function (e: Event): void {
localPoint(e as PointerEvent);
const i = scene.hit(inp.x, inp.y);
if (i >= 0) { scene.tap(i); }
if (reduce) { show(); }
});
listen(canvas, 'keydown', function (e: Event): void {
const ev = e as KeyboardEvent;
const k = ev.key;
const n = scene.n();
const mid = Math.floor((n * n) / 2);
if (k === 'ArrowLeft' || k === 'ArrowRight' || k === 'ArrowUp' || k === 'ArrowDown') {
ev.preventDefault();
if (inp.cur < 0) { inp.cur = mid; }
else {
let r = Math.floor(inp.cur / n);
let c = inp.cur % n;
if (k === 'ArrowLeft') { c = Math.max(0, c - 1); }
if (k === 'ArrowRight') { c = Math.min(n - 1, c + 1); }
if (k === 'ArrowUp') { r = Math.max(0, r - 1); }
if (k === 'ArrowDown') { r = Math.min(n - 1, r + 1); }
inp.cur = r * n + c;
}
inp.key = true;
inp.idle = 0;
scene.hover(inp.cur);
if (reduce) { show(); }
return;
}
if (k === 'Enter' || k === ' ') {
ev.preventDefault();
if (inp.cur < 0) { inp.cur = mid; }
inp.key = true;
inp.idle = 0;
scene.tap(inp.cur);
if (reduce) { show(); }
}
});
if (!reduce) { rafId = requestAnimationFrame(tick); }
return function (): void {
cancelAnimationFrame(rafId);
for (let i = 0; i < cleaners.length; i += 1) { cleaners[i](); }
};
}
const LINES: number[][] = [[0, 1, 2], [3, 4, 5], [6, 7, 8], [0, 3, 6], [1, 4, 7], [2, 5, 8], [0, 4, 8], [2, 4, 6]];
const SCORE_WIN = 10;
const TXT_X_TURN = 'X 차례';
const TXT_O_TURN = 'O 차례';
const TXT_X_WIN = 'X 승';
const TXT_O_WIN = 'O 승';
const TXT_DRAW = '무승부';
interface Game { b: number[]; turn: number; over: boolean; line: number; }
interface Counter { n: number; x: number; o: number; }
function newGame(): Game { return { b: [0, 0, 0, 0, 0, 0, 0, 0, 0], turn: 1, over: false, line: -1 }; }
// 완성된 줄의 번호(LINES 안의 위치). 없으면 -1
function lineOf(b: number[]): number {
for (let k = 0; k < LINES.length; k += 1) {
const l = LINES[k];
if (b[l[0]] !== 0 && b[l[0]] === b[l[1]] && b[l[1]] === b[l[2]]) { return k; }
}
return -1;
}
function emptyCells(b: number[]): number[] {
const out: number[] = [];
for (let i = 0; i < 9; i += 1) { if (b[i] === 0) { out.push(i); } }
return out;
}
function place(g: Game, i: number): boolean {
if (g.over || g.b[i] !== 0) { return false; }
g.b[i] = g.turn;
g.line = lineOf(g.b);
if (g.line >= 0 || emptyCells(g.b).length === 0) { g.over = true; } else { g.turn = 3 - g.turn; }
return true;
}
function gameLabel(g: Game): string {
if (g.over) { return g.line >= 0 ? (g.b[LINES[g.line][0]] === 1 ? TXT_X_WIN : TXT_O_WIN) : TXT_DRAW; }
return g.turn === 1 ? TXT_X_TURN : TXT_O_TURN;
}
// 전수 탐색 — X 시점 점수. depth 가 0 이 되면 더 보지 않고 0 으로 친다. cnt.n 은 방문한 국면 수
function solve(b: number[], turn: number, ply: number, depth: number, cnt: Counter): number {
cnt.n += 1;
const w = lineOf(b);
if (w >= 0) {
const s = SCORE_WIN - ply;
if (b[LINES[w][0]] === 1) { cnt.x += 1; return s; }
cnt.o += 1;
return -s;
}
if (depth <= 0) { return 0; }
let best = turn === 1 ? -1000 : 1000;
let any = false;
for (let i = 0; i < 9; i += 1) {
if (b[i] !== 0) { continue; }
b[i] = turn;
const v = solve(b, 3 - turn, ply + 1, depth - 1, cnt);
b[i] = 0;
any = true;
if (turn === 1 ? v > best : v < best) { best = v; }
}
return any ? best : 0;
}
// 둘 곳마다 점수. 이미 찬 칸은 NaN. 둔 사람(turn) 시점이 아니라 X 시점 값이다
function cellScores(b: number[], turn: number, depth: number, cnt: Counter, per?: Counter[]): number[] {
const out: number[] = [];
for (let i = 0; i < 9; i += 1) {
if (b[i] !== 0) { out.push(NaN); if (per) { per.push({ n: 0, x: 0, o: 0 }); } continue; }
b[i] = turn;
const c: Counter = { n: 0, x: 0, o: 0 };
out.push(solve(b, 3 - turn, 1, depth - 1, c));
b[i] = 0;
cnt.n += c.n; cnt.x += c.x; cnt.o += c.o;
if (per) { per.push(c); }
}
return out;
}
function bestCell(b: number[], turn: number, depth: number): number {
const cnt: Counter = { n: 0, x: 0, o: 0 };
const sc = cellScores(b, turn, depth, cnt);
let best = -1;
for (let i = 0; i < 9; i += 1) {
if (isNaN(sc[i])) { continue; }
if (best < 0 || (turn === 1 ? sc[i] > sc[best] : sc[i] < sc[best])) { best = i; }
}
return best;
}
function gridRect(i: number, ox: number, oy: number, cs: number): [number, number, number, number] {
return [ox + (i % 3) * cs, oy + Math.floor(i / 3) * cs, cs, cs];
}
function gridHit(x: number, y: number, ox: number, oy: number, cs: number): number {
const c = Math.floor((x - ox) / cs);
const r = Math.floor((y - oy) / cs);
return c >= 0 && c < 3 && r >= 0 && r < 3 ? r * 3 + c : -1;
}
interface Match {
g: Game;
since: number;
move(i: number): void;
tap(i: number): void;
step(): void;
auto(): void;
}
const MATCH_DEPTH = 9;
const REPLY_MS = 420;
// 한 판 진행기 — 사람은 X, 컴퓨터는 O. 사람이 가만히 있으면(idle) 둘 다 컴퓨터가 두어 루프를 만든다.
// pick 이 있으면 자동 대국의 수를 그 함수가 정한다. 판이 끝나면 holdMs 뒤에 새 판
function makeMatch(inp: Input, reduce: boolean, turnMs: number, holdMs: number, seed: number, depth: number, onPlace: (i: number, who: number) => void, onReset: () => void, pick: (() => number) | null): Match {
const rng = lcg(seed);
let t = 0;
let reply = -1;
let hold = 0;
const m: Match = {
g: newGame(),
since: 0,
move(i: number): void {
const who = m.g.turn;
if (place(m.g, i)) { m.since = 0; onPlace(i, who); }
},
tap(i: number): void {
if (m.g.over) { reset(); return; }
if (m.g.turn !== 1 || m.g.b[i] !== 0) { return; }
m.move(i);
if (!m.g.over) {
if (reduce) { m.move(bestCell(m.g.b, 2, depth)); } else { reply = REPLY_MS; }
}
},
step(): void {
m.since += FIXED_DT;
if (m.g.over) {
hold += FIXED_DT;
if (hold >= holdMs) { reset(); }
return;
}
if (reply >= 0) {
reply -= FIXED_DT;
if (reply < 0) { m.move(bestCell(m.g.b, 2, depth)); }
return;
}
if (inp.idle > IDLE_TICKS) {
t += FIXED_DT;
if (t >= turnMs) { t = 0; autoMove(); }
}
},
auto(): void {
if (m.g.over) { reset(); } else { autoMove(); }
},
};
function reset(): void {
m.g = newGame();
t = 0;
reply = -1;
hold = 0;
onReset();
}
function autoMove(): void {
if (pick) { const p = pick(); if (p >= 0) { m.move(p); } return; }
const e = emptyCells(m.g.b);
if (m.g.turn === 1 && (e.length > 6 || rng() < 0.3)) { m.move(e[Math.floor(rng() * e.length)]); return; }
m.move(bestCell(m.g.b, m.g.turn, depth));
}
return m;
}
const SYM_COUNT = 8;
const FOLD_MS = 800;
const MERGE_ALPHA = 0.5;
const SPREAD_R = 104;
const SPREAD_MS = 450;
const HOLD_P = 300;
const SETTLE_MS = 260;
const BIG_SIZE = 120;
const GHOST_SIZE = 66;
const TXT_DISTINCT = '서로 다른 모양';
// 회전 4 × 반사 2 = 8 가지 칸 옮기기 — SYM[k][i] 는 i 번 칸이 k 번 변환에서 가는 칸
function buildSym(): number[][] {
const out: number[][] = [];
for (let f = 0; f < 2; f += 1) {
for (let r = 0; r < 4; r += 1) {
const perm: number[] = [];
for (let i = 0; i < 9; i += 1) {
let row = Math.floor(i / 3);
let col = i % 3;
for (let q = 0; q < r; q += 1) { const nr = col; col = 2 - row; row = nr; }
if (f === 1) { col = 2 - col; }
perm.push(row * 3 + col);
}
out.push(perm);
}
}
return out;
}
const SYM = buildSym();
function applySym(b: number[], perm: number[]): number[] {
const out: number[] = [0, 0, 0, 0, 0, 0, 0, 0, 0];
for (let i = 0; i < 9; i += 1) { out[perm[i]] = b[i]; }
return out;
}
const make: Maker = function (inp: Input, reduce: boolean): Scene {
const rng = lcg(71);
let variants: number[][] = [];
let canon = 0;
let distinct = 1;
let phase = 0;
let pt = 0;
let hov = -1;
function analyze(): void {
variants = [];
const keys: string[] = [];
for (let k = 0; k < SYM_COUNT; k += 1) { variants.push(applySym(m.g.b, SYM[k])); keys.push(variants[k].join('')); }
canon = 0;
for (let k = 1; k < SYM_COUNT; k += 1) { if (keys[k] < keys[canon]) { canon = k; } }
distinct = keys.filter(function (v: string, i: number): boolean { return keys.indexOf(v) === i; }).length;
}
const m: Match = makeMatch(inp, reduce, 1000000, 1200, 71, MATCH_DEPTH, function (): void {
analyze();
phase = 0;
pt = 0;
}, function (): void {
analyze();
phase = 0;
pt = 0;
}, null);
// 첫 판은 세 수를 둔 국면으로 시작
function warm(): void {
const e0 = emptyCells(m.g.b);
m.move(e0[Math.floor(rng() * e0.length)]);
m.move(bestCell(m.g.b, 2, MATCH_DEPTH));
const e1 = emptyCells(m.g.b);
m.move(e1[Math.floor(rng() * e1.length)]);
analyze();
}
warm();
function ringPos(k: number, s: number): [number, number] {
const a = (k / SYM_COUNT) * PI2 - Math.PI / 2 + Math.PI / SYM_COUNT;
return [W / 2 + Math.cos(a) * SPREAD_R * s, H / 2 + Math.sin(a) * SPREAD_R * s];
}
function drawBoard(ctx: CanvasRenderingContext2D, b: number[], cx: number, cy: number, size: number, alpha: number, outline: boolean): void {
const x0 = cx - size / 2;
const y0 = cy - size / 2;
const cs = size / 3;
ctx.globalAlpha = alpha;
ctx.fillStyle = rgba(TILE, 1);
rrect(ctx, x0, y0, size, size, size * 0.1);
ctx.fill();
if (outline) {
ctx.strokeStyle = rgba(MINT, 1);
ctx.lineWidth = 2;
rrect(ctx, x0, y0, size, size, size * 0.1);
ctx.stroke();
}
ctx.strokeStyle = rgba(CREAM, 0.22);
ctx.lineWidth = 1;
ctx.beginPath();
for (let q = 1; q < 3; q += 1) {
ctx.moveTo(x0 + q * cs, y0 + size * 0.08); ctx.lineTo(x0 + q * cs, y0 + size * 0.92);
ctx.moveTo(x0 + size * 0.08, y0 + q * cs); ctx.lineTo(x0 + size * 0.92, y0 + q * cs);
}
ctx.stroke();
for (let i = 0; i < 9; i += 1) {
if (b[i] === 0) { continue; }
drawMark(ctx, b[i], x0 + (i % 3) * cs + cs / 2, y0 + Math.floor(i / 3) * cs + cs / 2, cs * 0.27, 1, Math.max(size * 0.034, 2), rgba(b[i] === 1 ? SKY : PINK, 1));
}
ctx.globalAlpha = 1;
}
function phaseLen(): number { return phase === 0 ? HOLD_P : (phase === 1 ? SPREAD_MS : (phase === 2 ? FOLD_MS : SETTLE_MS)); }
return {
step(): void {
m.step();
if (m.g.over) { return; }
if (inp.idle <= IDLE_TICKS && phase === 0) { pt = 0; return; }
pt += FIXED_DT;
if (pt >= phaseLen()) {
pt = 0;
phase += 1;
if (phase > 3) {
phase = 0;
if (inp.idle > IDLE_TICKS) { m.auto(); }
}
}
},
draw(ctx: CanvasRenderingContext2D): void {
ctx.fillStyle = rgba(BG, 1);
ctx.fillRect(0, 0, W, H);
const real = m.g.b;
const ph = reduce ? 0 : phase;
const q = clamp(pt / phaseLen(), 0, 1);
if (ph === 0 || reduce) {
drawBoard(ctx, real, W / 2, H / 2, BIG_SIZE + 16, 1, false);
if (reduce) {
for (let k = 0; k < SYM_COUNT; k += 1) {
const p = ringPos(k, 1);
drawBoard(ctx, variants[k], p[0], p[1], GHOST_SIZE, 0.85, k === canon);
}
}
return;
}
const spread = ph === 1 ? smooth(q) : 1;
const fold = ph === 2 ? smooth(q) : (ph === 3 ? 1 : 0);
// 중앙 판: 접히는 동안 실제 국면에서 표준 모양으로 서서히 바뀐다
drawBoard(ctx, real, W / 2, H / 2, BIG_SIZE + 16, 1 - fold, false);
if (fold > 0) { drawBoard(ctx, variants[canon], W / 2, H / 2, BIG_SIZE + 16, fold, false); }
for (let k = 0; k < SYM_COUNT; k += 1) {
const p0 = ringPos(k, spread);
const p1 = ringPos(k, 1);
const x = lerp(p0[0], W / 2, fold);
const y = lerp(p0[1], H / 2, fold);
const size = lerp(GHOST_SIZE * (0.6 + 0.4 * spread), BIG_SIZE + 16, fold);
const fade = ph === 3 ? Math.max(0, 1 - q * 4) : 1;
if (fade <= 0) { continue; }
const a = lerp(0.95, MERGE_ALPHA, fold) * fade;
drawBoard(ctx, variants[k], x, y, size, a * (1 - fold * 0.55), k === canon && fold < 0.7);
void p1;
}
},
label(): string { return gameLabel(m.g) + (phase >= 1 || reduce ? ' · ' + TXT_DISTINCT + ' ' + distinct + '/' + SYM_COUNT : ''); },
hit(x: number, y: number): number { return gridHit(x, y, W / 2 - (BIG_SIZE + 16) / 2, H / 2 - (BIG_SIZE + 16) / 2, (BIG_SIZE + 16) / 3); },
hover(i: number): void { hov = i; void hov; },
tap(i: number): void {
// 접히는 동안 가운데 판은 표준 모양으로 바뀌므로, 그동안 누른 칸은 실제 국면의 칸과 어긋난다 — 받지 않는다
if (!reduce && phase >= 2) { return; }
m.tap(i);
},
auto(): void { m.auto(); },
rect(i: number): [number, number, number, number] { return gridRect(i, W / 2 - (BIG_SIZE + 16) / 2, H / 2 - (BIG_SIZE + 16) / 2, (BIG_SIZE + 16) / 3); },
n(): number { return 3; },
};
};
return mount(root, make);
}, []);
return (
<div className={cx("tt") + " is-demo"} id="tt" ref={rootRef}>
<canvas className={cx("tt__canvas")} data-role="canvas" width="480" height="300" tabIndex={0} aria-label="돌리고 뒤집어도 같은 국면을 한 판으로 접어 겹치는 대칭 접기 보기"></canvas>
<p className={cx("tt__status")} data-role="status" aria-live="polite">X 차례</p>
<button className={cx("tt__btn")} data-role="btn" type="button">멈춤</button>
</div>
);
}07 回しても裏返しても同じ局面を一つの盤に折り重ねる対称の折りたたみ表示 — 計測 累積面積 29.139% · 動いたフレーム 21/23GODRICH オリジナル · SCSS と React は zip に同梱 · css tic tac toe 9パターン — 盤が自分で数えて線を引く三目並べ
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