08기울기가 한계를 넘으면 눕는 넘어짐 판정
기울기 각도가 한계 값을 넘는 프레임에서 팽이를 쓰러짐 상태로 바꾸고, 몸통을 옆으로 눕히며 바닥을 따라 짧게 구르다 그림자까지 납작해지게 한다.
쓰임끝을 알리는 결과 장면
TILT_LIMITFALL_OMEGAjudgeTumble

<main class="stage">
<div class="bp is-demo" id="bpRoot">
<canvas class="bp__canvas" id="bpCanvas" width="480" height="300"></canvas>
<p class="bp__caption">기울기 각도가 한계 값을 넘는 프레임에서 팽이를 쓰러짐 상태로 바꾸고, 몸통을 옆으로 눕히며 바닥을 따라 짧게 구르다 그림자까지 납작해지게 한다.</p>
</div>
</main>@use "../../../../site/static/demo-tokens" as *;
@include stage($stage-ink);
.bp {
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: $stage-ink;
}
.bp__canvas {
display: block;
width: 100%;
height: 100%;
}
.bp__canvas:focus-visible {
outline: 2px solid rgba(255, 255, 255, .85);
outline-offset: -6px;
}
.bp__caption {
position: absolute;
left: $sp-3;
bottom: $sp-3;
max-width: 80%;
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: 12px;
line-height: 1.4;
pointer-events: none;
}
@media (max-width: 340px) {
.bp__caption { font-size: 10px; padding: $sp-1 $sp-2; }
}
@media (prefers-reduced-motion: reduce) {
.bp { 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);
}
.bp {
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;
}
.bp__canvas {
display: block;
width: 100%;
height: 100%;
}
.bp__canvas:focus-visible {
outline: 2px solid rgba(255, 255, 255, 0.85);
outline-offset: -6px;
}
.bp__caption {
position: absolute;
left: 12px;
bottom: 12px;
max-width: 80%;
margin: 0;
padding: 4px 12px;
border-radius: 999px;
background: rgba(255, 255, 255, 0.85);
color: #17141a;
font-weight: 500;
font-size: 12px;
line-height: 1.4;
pointer-events: none;
}
@media (max-width: 340px) {
.bp__caption {
font-size: 10px;
padding: 4px 8px;
}
}
@media (prefers-reduced-motion: reduce) {
.bp {
cursor: default;
}
}(function () {
var root = document.getElementById('bpRoot');
var canvas = document.getElementById('bpCanvas');
var ctx = canvas.getContext('2d');
var wrap = canvas.parentElement;
var CALC_W = 320, CALC_H = 200;
var FIXED_DT = 16;
var dtS = FIXED_DT / 1000;
var STRIPE_COUNT = 6;
var STRIPE_FUSE_HZ = 14;
var reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
var demo = !reduce;
if (!demo) root.classList.remove('is-demo');
function stopDemo() { demo = false; root.classList.remove('is-demo'); }
function seedRand(seed) {
var s = seed >>> 0;
return function () { s = (s * 1664525 + 1013904223) >>> 0; return s / 4294967296; };
}
var rand = seedRand(435008);
function clamp(v, lo, hi) { return v < lo ? lo : (v > hi ? hi : v); }
var PALS = [
{ a: '#ffb3c7', b: '#fff1c9', mid: '#ffd6c8', body: '#f29bb7' },
{ a: '#a8e6cf', b: '#e6fbf1', mid: '#c9f1e0', body: '#7fcfae' },
{ a: '#c9b8ff', b: '#f1ecff', mid: '#ddd2ff', body: '#a590ef' },
{ a: '#9fd8ff', b: '#e6f5ff', mid: '#c4e6ff', body: '#6fb7ec' }
];
var cw = 480, ch = 300, sc = 1.5, elapsed = 0;
var rafId = 0;
var cleaners = [];
function makeTop(x, y, palIndex, R, omega) {
return { x: x, y: y, vx: 0, vy: 0, omega: omega, tilt: 0.08, az: rand() * 6.283, spin: rand() * 6.283,
R: R, pal: PALS[palIndex % PALS.length], kick: 0, tipX: x, tipY: y };
}
var pulses = [];
function addPulse(x, y, rgb) { pulses.push({ x: x, y: y, born: elapsed, rgb: rgb || '255,255,255' }); }
function stepPulses() {
var live = [];
for (var i = 0; i < pulses.length; i += 1) if (elapsed - pulses[i].born < 520) live.push(pulses[i]);
pulses = live;
}
function drawPulses() {
for (var i = 0; i < pulses.length; i += 1) {
var p = pulses[i], f = (elapsed - p.born) / 520;
ctx.save();
ctx.translate(p.x, p.y);
ctx.scale(1, 0.38);
ctx.beginPath();
ctx.arc(0, 0, 12 + f * 62, 0, 6.2832);
ctx.strokeStyle = 'rgba(' + p.rgb + ',' + (0.8 * (1 - f)) + ')';
ctx.lineWidth = 3;
ctx.stroke();
ctx.restore();
}
}
function pushTrail(arr, x, y, max) { arr.push({ x: x, y: y }); if (arr.length > max) arr.shift(); }
function drawTrail(arr, rgb, w) {
ctx.lineCap = 'round';
for (var i = 1; i < arr.length; i += 1) {
var f = i / arr.length;
ctx.beginPath();
ctx.moveTo(arr[i - 1].x, arr[i - 1].y);
ctx.lineTo(arr[i].x, arr[i].y);
ctx.strokeStyle = 'rgba(' + rgb + ',' + (0.62 * f) + ')';
ctx.lineWidth = w * (0.35 + 0.65 * f);
ctx.stroke();
}
}
var glowX = 160, glowY = 150, glowS = 1;
function drawArena() {
ctx.setTransform(1, 0, 0, 1, 0, 0);
ctx.fillStyle = '#1d1a2b';
ctx.fillRect(0, 0, cw, ch);
ctx.setTransform(sc, 0, 0, sc, 0, 0);
var g = ctx.createRadialGradient(160, 118, 10, 160, 118, 200);
g.addColorStop(0, '#463e68');
g.addColorStop(1, '#2a2442');
ctx.fillStyle = g;
ctx.fillRect(0, 0, CALC_W, CALC_H);
ctx.strokeStyle = 'rgba(255,255,255,0.09)';
ctx.lineWidth = 1;
for (var k = 1; k <= 4; k += 1) {
ctx.beginPath();
ctx.ellipse(160, 120, 44 * k, 21 * k, 0, 0, 6.2832);
ctx.stroke();
}
// 원근 격자: 팽이 위치(glowX)에 가까울수록 밝게 비친다
var gl = ctx.createRadialGradient(glowX, glowY, 6, glowX, glowY, 140);
gl.addColorStop(0, 'rgba(255,255,255,' + (0.62 * glowS) + ')');
gl.addColorStop(1, 'rgba(255,255,255,0.07)');
ctx.strokeStyle = gl;
ctx.lineWidth = 1;
for (var gr = 0; gr < 10; gr += 1) {
var gf = gr / 9;
var gy = 72 + 128 * Math.pow(gf, 1.7);
ctx.beginPath();
ctx.moveTo(0, gy);
ctx.lineTo(CALC_W, gy);
ctx.stroke();
}
for (var gc = -9; gc <= 9; gc += 1) {
ctx.beginPath();
ctx.moveTo(160 + gc * 12, 72);
ctx.lineTo(160 + gc * 52, CALC_H);
ctx.stroke();
}
var pool = ctx.createRadialGradient(glowX, glowY + 4, 0, glowX, glowY + 4, 120);
pool.addColorStop(0, 'rgba(255,238,252,' + (0.3 * glowS) + ')');
pool.addColorStop(1, 'rgba(255,238,252,0)');
ctx.fillStyle = pool;
ctx.fillRect(0, 0, CALC_W, CALC_H);
}
function wedges(R, n, base, alpha, color) {
ctx.fillStyle = color;
ctx.globalAlpha = alpha;
for (var i = 0; i < n; i += 1) {
var a0 = base + i * 6.2832 / n;
ctx.beginPath();
ctx.moveTo(0, 0);
ctx.arc(0, 0, R, a0, a0 + 3.1416 / n);
ctx.closePath();
ctx.fill();
}
ctx.globalAlpha = 1;
}
function drawTop(t) {
var R = t.R, L = R * 1.25;
// 바닥에 남는 회전 잔상 원판과 도는 점선 고리
var gw = Math.abs(t.omega);
ctx.save();
ctx.translate(t.x, t.y + 3);
ctx.scale(1, 0.3);
wedges(R * 1.7, STRIPE_COUNT, t.spin * 0.8, 0.2 + 0.14 * clamp(gw / 30, 0, 1), t.pal.a);
ctx.beginPath();
ctx.arc(0, 0, R * 1.95, 0, 6.2832);
ctx.setLineDash([R * 0.3, R * 0.2]);
ctx.lineDashOffset = -t.spin * R * 0.6;
ctx.strokeStyle = t.pal.a;
ctx.globalAlpha = 0.6;
ctx.lineWidth = 8;
ctx.stroke();
ctx.globalAlpha = 1;
ctx.restore();
glowX = t.x + (t.tipX - t.x) * 0.5;
glowY = t.y;
glowS = 0.55 + 0.45 * clamp(gw / 30, 0, 1);
var s = Math.sin(t.tilt), c = Math.cos(t.tilt);
var cx = t.x + Math.cos(t.az) * s * L * 1.15;
var cy = t.y - c * L * 0.95 + Math.sin(t.az) * s * L * 0.35;
ctx.save();
ctx.translate(t.x + R * 0.28, t.y + 1);
ctx.scale(1, 0.26);
ctx.beginPath();
ctx.arc(0, 0, R * (0.8 + 0.6 * s), 0, 6.2832);
ctx.fillStyle = 'rgba(10,8,20,' + (0.4 - 0.12 * s) + ')';
ctx.fill();
ctx.restore();
var dx = cx - t.x, dy = cy - t.y;
var dist = Math.hypot(dx, dy) || 1;
var phi = Math.atan2(dx, -dy);
ctx.save();
ctx.translate(cx, cy);
ctx.rotate(phi);
ctx.beginPath();
ctx.moveTo(-R, 0); ctx.lineTo(0, dist); ctx.lineTo(R, 0); ctx.closePath();
ctx.fillStyle = t.pal.body;
ctx.fill();
ctx.beginPath();
ctx.moveTo(0, 0); ctx.lineTo(0, dist); ctx.lineTo(R, 0); ctx.closePath();
ctx.fillStyle = 'rgba(30,16,60,0.24)';
ctx.fill();
var kv = 0.34 + 0.3 * s;
ctx.save();
ctx.scale(1, kv);
ctx.beginPath();
ctx.arc(0, 0, R, 0, 6.2832);
ctx.fillStyle = t.pal.b;
ctx.fill();
var sgn = t.omega < 0 ? -1 : 1;
var w = Math.abs(t.omega);
wedges(R, STRIPE_COUNT, t.spin, 1, t.pal.a);
if (w > 8) {
for (var k = 1; k <= 3; k += 1) wedges(R, STRIPE_COUNT, t.spin - sgn * k * w * 0.012, 0.2 / k, t.pal.a);
}
var f = w * STRIPE_COUNT / 6.2832;
var blur = clamp((f - STRIPE_FUSE_HZ) / 26, 0, 0.8);
if (blur > 0) {
ctx.globalAlpha = blur;
ctx.beginPath();
ctx.arc(0, 0, R, 0, 6.2832);
ctx.fillStyle = t.pal.mid;
ctx.fill();
ctx.globalAlpha = 1;
}
ctx.beginPath();
ctx.arc(0, 0, R, 0, 6.2832);
ctx.strokeStyle = 'rgba(255,255,255,0.55)';
ctx.lineWidth = 1 / kv;
ctx.stroke();
ctx.restore();
ctx.beginPath();
ctx.moveTo(0, 0); ctx.lineTo(0, -R * 0.62);
ctx.strokeStyle = t.pal.body;
ctx.lineWidth = R * 0.16;
ctx.lineCap = 'round';
ctx.stroke();
ctx.beginPath();
ctx.arc(0, -R * 0.66, R * 0.12, 0, 6.2832);
ctx.fillStyle = '#ffffff';
ctx.fill();
ctx.restore();
t.tipX = cx + Math.sin(phi) * R * 0.66;
t.tipY = cy - Math.cos(phi) * R * 0.66;
}
function wallBounce(t, rest, margin) {
var m = t.R + margin;
if (t.x < m) { t.x = m; t.vx = Math.abs(t.vx) * rest; }
if (t.x > CALC_W - m) { t.x = CALC_W - m; t.vx = -Math.abs(t.vx) * rest; }
var top = t.R * 2.1, bottom = CALC_H - 8;
if (t.y < top) { t.y = top; t.vy = Math.abs(t.vy) * rest; }
if (t.y > bottom) { t.y = bottom; t.vy = -Math.abs(t.vy) * rest; }
}
function pairCollide(a, b, rest, spinMix, kickAmt) {
var dx = b.x - a.x, dy = (b.y - a.y) * 1.6;
var dist = Math.hypot(dx, dy);
var minDist = (a.R + b.R) * 0.92;
if (dist <= 0 || dist >= minDist) return false;
var nx = dx / dist, ny = dy / dist;
var overlap = (minDist - dist) * 0.5;
a.x -= nx * overlap; a.y -= ny * overlap / 1.6;
b.x += nx * overlap; b.y += ny * overlap / 1.6;
var vn = (b.vx - a.vx) * nx + (b.vy - a.vy) * ny;
if (vn >= 0) return false;
var j = -(1 + rest) * vn / 2;
a.vx -= j * nx; a.vy -= j * ny;
b.vx += j * nx; b.vy += j * ny;
var tr = (b.omega - a.omega) * spinMix;
a.omega += tr; b.omega -= tr;
a.vx += -ny * tr * 1.4; a.vy += nx * tr * 1.4;
b.vx -= -ny * tr * 1.4; b.vy -= nx * tr * 1.4;
a.kick = kickAmt; b.kick = kickAmt;
addPulse((a.x + b.x) / 2, (a.y + b.y) / 2 + 6, '255,255,255');
return true;
}
// 기법: 각속도가 낮아질수록 기울기가 커지다가, 각속도가 FALL_OMEGA 밑이고 기울기가 TILT_LIMIT 를 넘는 순간
// 쓰러짐 상태로 바꾼다. 쓰러지는 동안은 중력 가속을 기울기 속도에 더하고 바닥에 닿으면 반발로 한 번 튕긴 뒤 눕는다.
var TILT_LIMIT = 0.62;
var FALL_OMEGA = 9;
var OMEGA_START = 30;
var OMEGA_FADE = 0.7;
var tops = [makeTop(96, 150, 1, 32, 30), makeTop(224, 150, 3, 32, 14)];
tops.forEach(function (t) { t.state = 'spin'; t.tv = 0; t.rest = 0; });
function judgeTumble(t) {
var slow = 1 - clamp(t.omega / OMEGA_START, 0, 1);
t.tilt = 0.08 + 0.95 * Math.pow(slow, 2.2);
return t.omega < FALL_OMEGA && t.tilt > TILT_LIMIT;
}
function stepTop(t) {
if (t.state === 'spin') {
t.omega *= Math.exp(-OMEGA_FADE * dtS);
t.spin += t.omega * dtS;
t.az += (3 + (1 - t.omega / OMEGA_START) * 4) * dtS;
if (judgeTumble(t)) { t.state = 'fall'; t.tv = 0.5; t.az = 0.35 + (t.x < 160 ? 0 : 2.4); }
} else if (t.state === 'fall') {
t.spin += t.omega * dtS;
t.tv += 18 * Math.sin(t.tilt) * dtS;
t.tilt += t.tv * dtS;
if (t.tilt >= 1.5) {
t.tilt = 1.5;
if (t.tv > 0.9) { t.tv = -t.tv * 0.28; addPulse(t.x, t.y + 4, '255,255,255'); }
else { t.tv = 0; t.state = 'down'; t.rest = 0; }
}
} else {
t.omega *= 0.97;
t.spin += t.omega * dtS;
t.rest += FIXED_DT;
if (t.rest > 1100) {
t.state = 'spin'; t.omega = OMEGA_START; t.tilt = 0.08;
addPulse(t.x, t.y + 4, '168,230,207');
}
}
}
function stepWorld() {
for (var i = 0; i < tops.length; i += 1) stepTop(tops[i]);
stepPulses();
}
function drawLimitLines(t) {
if (t.state !== 'spin') return;
ctx.setLineDash([5, 5]);
ctx.strokeStyle = 'rgba(255,255,255,0.28)';
ctx.lineWidth = 1.5;
for (var sgn = -1; sgn <= 1; sgn += 2) {
ctx.beginPath();
ctx.moveTo(t.x, t.y);
ctx.lineTo(t.x + sgn * Math.sin(TILT_LIMIT) * 120, t.y - Math.cos(TILT_LIMIT) * 96);
ctx.stroke();
}
ctx.setLineDash([]);
}
function drawWorld() {
drawArena();
for (var i = 0; i < tops.length; i += 1) drawLimitLines(tops[i]);
drawPulses();
for (var j = 0; j < tops.length; j += 1) drawTop(tops[j]);
}
function fit() {
var r = wrap.getBoundingClientRect();
cw = Math.max(1, Math.round(r.width));
ch = Math.max(1, Math.round(r.height));
canvas.width = cw; canvas.height = ch;
sc = cw / CALC_W;
drawWorld();
}
var lastTs = null;
var acc = 0;
function tick(ts) {
if (lastTs === null) lastTs = ts;
var frameDt = Math.min(ts - lastTs, 48);
lastTs = ts;
acc += frameDt;
while (acc >= FIXED_DT) { elapsed += FIXED_DT; stepWorld(); acc -= FIXED_DT; }
drawWorld();
rafId = requestAnimationFrame(tick);
}
for (var w0 = 0; w0 < 20; w0 += 1) { elapsed += FIXED_DT; stepWorld(); }
fit();
window.addEventListener('resize', fit);
cleaners.push(function () { window.removeEventListener('resize', fit); });
if (!reduce) rafId = requestAnimationFrame(tick);
function destroy() {
cancelAnimationFrame(rafId);
for (var i = 0; i < cleaners.length; i += 1) cleaners[i]();
}
})();import { useEffect, useRef } from "react";
import styles from "./SpinTopSceneTumbleFallJudge.module.scss";
type Pal = { a: string; b: string; mid: string; body: string };
type Top = { x: number; y: number; vx: number; vy: number; omega: number; tilt: number; az: number; spin: number; R: number; pal: Pal; kick: number; tipX: number; tipY: number; state: string; tv: number; rest: number };
type Pulse = { x: number; y: number; born: number; rgb: string };
type Pt = { x: number; y: number };
export default function SpinTopSceneTumbleFallJudge() {
const rootRef = useRef<HTMLDivElement | null>(null);
const canvasRef = useRef<HTMLCanvasElement | null>(null);
useEffect(() => {
const rootEl = rootRef.current;
const canvasEl = canvasRef.current;
if (!rootEl || !canvasEl) return;
const root: HTMLDivElement = rootEl;
const canvas: HTMLCanvasElement = canvasEl;
const ctx0 = canvas.getContext("2d");
if (!ctx0) return;
const ctx: CanvasRenderingContext2D = ctx0;
const wrap: HTMLElement = canvas.parentElement ?? root;
var CALC_W = 320, CALC_H = 200;
var FIXED_DT = 16;
var dtS = FIXED_DT / 1000;
var STRIPE_COUNT = 6;
var STRIPE_FUSE_HZ = 14;
var reduce = window.matchMedia('(prefers-reduced-motion: reduce)').matches;
var demo = !reduce;
if (!demo) root.classList.remove('is-demo');
function stopDemo() { demo = false; root.classList.remove('is-demo'); }
function seedRand(seed: number) {
var s = seed >>> 0;
return function () { s = (s * 1664525 + 1013904223) >>> 0; return s / 4294967296; };
}
var rand = seedRand(435008);
function clamp(v: number, lo: number, hi: number) { return v < lo ? lo : (v > hi ? hi : v); }
var PALS = [
{ a: '#ffb3c7', b: '#fff1c9', mid: '#ffd6c8', body: '#f29bb7' },
{ a: '#a8e6cf', b: '#e6fbf1', mid: '#c9f1e0', body: '#7fcfae' },
{ a: '#c9b8ff', b: '#f1ecff', mid: '#ddd2ff', body: '#a590ef' },
{ a: '#9fd8ff', b: '#e6f5ff', mid: '#c4e6ff', body: '#6fb7ec' }
];
var cw = 480, ch = 300, sc = 1.5, elapsed = 0;
var rafId = 0;
var cleaners: Array<() => void> = [];
function makeTop(x: number, y: number, palIndex: number, R: number, omega: number): Top {
return { x: x, y: y, vx: 0, vy: 0, omega: omega, tilt: 0.08, az: rand() * 6.283, spin: rand() * 6.283,
R: R, pal: PALS[palIndex % PALS.length], kick: 0, tipX: x, tipY: y, state: 'spin', tv: 0, rest: 0 };
}
var pulses: Pulse[] = [];
function addPulse(x: number, y: number, rgb?: string) { pulses.push({ x: x, y: y, born: elapsed, rgb: rgb || '255,255,255' }); }
function stepPulses() {
var live: Pulse[] = [];
for (var i = 0; i < pulses.length; i += 1) if (elapsed - pulses[i].born < 520) live.push(pulses[i]);
pulses = live;
}
function drawPulses() {
for (var i = 0; i < pulses.length; i += 1) {
var p = pulses[i], f = (elapsed - p.born) / 520;
ctx.save();
ctx.translate(p.x, p.y);
ctx.scale(1, 0.38);
ctx.beginPath();
ctx.arc(0, 0, 12 + f * 62, 0, 6.2832);
ctx.strokeStyle = 'rgba(' + p.rgb + ',' + (0.8 * (1 - f)) + ')';
ctx.lineWidth = 3;
ctx.stroke();
ctx.restore();
}
}
function pushTrail(arr: Pt[], x: number, y: number, max: number) { arr.push({ x: x, y: y }); if (arr.length > max) arr.shift(); }
function drawTrail(arr: Pt[], rgb: string, w: number) {
ctx.lineCap = 'round';
for (var i = 1; i < arr.length; i += 1) {
var f = i / arr.length;
ctx.beginPath();
ctx.moveTo(arr[i - 1].x, arr[i - 1].y);
ctx.lineTo(arr[i].x, arr[i].y);
ctx.strokeStyle = 'rgba(' + rgb + ',' + (0.62 * f) + ')';
ctx.lineWidth = w * (0.35 + 0.65 * f);
ctx.stroke();
}
}
var glowX = 160, glowY = 150, glowS = 1;
function drawArena() {
ctx.setTransform(1, 0, 0, 1, 0, 0);
ctx.fillStyle = '#1d1a2b';
ctx.fillRect(0, 0, cw, ch);
ctx.setTransform(sc, 0, 0, sc, 0, 0);
var g = ctx.createRadialGradient(160, 118, 10, 160, 118, 200);
g.addColorStop(0, '#463e68');
g.addColorStop(1, '#2a2442');
ctx.fillStyle = g;
ctx.fillRect(0, 0, CALC_W, CALC_H);
ctx.strokeStyle = 'rgba(255,255,255,0.09)';
ctx.lineWidth = 1;
for (var k = 1; k <= 4; k += 1) {
ctx.beginPath();
ctx.ellipse(160, 120, 44 * k, 21 * k, 0, 0, 6.2832);
ctx.stroke();
}
// 원근 격자: 팽이 위치(glowX)에 가까울수록 밝게 비친다
var gl = ctx.createRadialGradient(glowX, glowY, 6, glowX, glowY, 140);
gl.addColorStop(0, 'rgba(255,255,255,' + (0.62 * glowS) + ')');
gl.addColorStop(1, 'rgba(255,255,255,0.07)');
ctx.strokeStyle = gl;
ctx.lineWidth = 1;
for (var gr = 0; gr < 10; gr += 1) {
var gf = gr / 9;
var gy = 72 + 128 * Math.pow(gf, 1.7);
ctx.beginPath();
ctx.moveTo(0, gy);
ctx.lineTo(CALC_W, gy);
ctx.stroke();
}
for (var gc = -9; gc <= 9; gc += 1) {
ctx.beginPath();
ctx.moveTo(160 + gc * 12, 72);
ctx.lineTo(160 + gc * 52, CALC_H);
ctx.stroke();
}
var pool = ctx.createRadialGradient(glowX, glowY + 4, 0, glowX, glowY + 4, 120);
pool.addColorStop(0, 'rgba(255,238,252,' + (0.3 * glowS) + ')');
pool.addColorStop(1, 'rgba(255,238,252,0)');
ctx.fillStyle = pool;
ctx.fillRect(0, 0, CALC_W, CALC_H);
}
function wedges(R: number, n: number, base: number, alpha: number, color: string) {
ctx.fillStyle = color;
ctx.globalAlpha = alpha;
for (var i = 0; i < n; i += 1) {
var a0 = base + i * 6.2832 / n;
ctx.beginPath();
ctx.moveTo(0, 0);
ctx.arc(0, 0, R, a0, a0 + 3.1416 / n);
ctx.closePath();
ctx.fill();
}
ctx.globalAlpha = 1;
}
function drawTop(t: Top) {
var R = t.R, L = R * 1.25;
// 바닥에 남는 회전 잔상 원판과 도는 점선 고리
var gw = Math.abs(t.omega);
ctx.save();
ctx.translate(t.x, t.y + 3);
ctx.scale(1, 0.3);
wedges(R * 1.7, STRIPE_COUNT, t.spin * 0.8, 0.2 + 0.14 * clamp(gw / 30, 0, 1), t.pal.a);
ctx.beginPath();
ctx.arc(0, 0, R * 1.95, 0, 6.2832);
ctx.setLineDash([R * 0.3, R * 0.2]);
ctx.lineDashOffset = -t.spin * R * 0.6;
ctx.strokeStyle = t.pal.a;
ctx.globalAlpha = 0.6;
ctx.lineWidth = 8;
ctx.stroke();
ctx.globalAlpha = 1;
ctx.restore();
glowX = t.x + (t.tipX - t.x) * 0.5;
glowY = t.y;
glowS = 0.55 + 0.45 * clamp(gw / 30, 0, 1);
var s = Math.sin(t.tilt), c = Math.cos(t.tilt);
var cx = t.x + Math.cos(t.az) * s * L * 1.15;
var cy = t.y - c * L * 0.95 + Math.sin(t.az) * s * L * 0.35;
ctx.save();
ctx.translate(t.x + R * 0.28, t.y + 1);
ctx.scale(1, 0.26);
ctx.beginPath();
ctx.arc(0, 0, R * (0.8 + 0.6 * s), 0, 6.2832);
ctx.fillStyle = 'rgba(10,8,20,' + (0.4 - 0.12 * s) + ')';
ctx.fill();
ctx.restore();
var dx = cx - t.x, dy = cy - t.y;
var dist = Math.hypot(dx, dy) || 1;
var phi = Math.atan2(dx, -dy);
ctx.save();
ctx.translate(cx, cy);
ctx.rotate(phi);
ctx.beginPath();
ctx.moveTo(-R, 0); ctx.lineTo(0, dist); ctx.lineTo(R, 0); ctx.closePath();
ctx.fillStyle = t.pal.body;
ctx.fill();
ctx.beginPath();
ctx.moveTo(0, 0); ctx.lineTo(0, dist); ctx.lineTo(R, 0); ctx.closePath();
ctx.fillStyle = 'rgba(30,16,60,0.24)';
ctx.fill();
var kv = 0.34 + 0.3 * s;
ctx.save();
ctx.scale(1, kv);
ctx.beginPath();
ctx.arc(0, 0, R, 0, 6.2832);
ctx.fillStyle = t.pal.b;
ctx.fill();
var sgn = t.omega < 0 ? -1 : 1;
var w = Math.abs(t.omega);
wedges(R, STRIPE_COUNT, t.spin, 1, t.pal.a);
if (w > 8) {
for (var k = 1; k <= 3; k += 1) wedges(R, STRIPE_COUNT, t.spin - sgn * k * w * 0.012, 0.2 / k, t.pal.a);
}
var f = w * STRIPE_COUNT / 6.2832;
var blur = clamp((f - STRIPE_FUSE_HZ) / 26, 0, 0.8);
if (blur > 0) {
ctx.globalAlpha = blur;
ctx.beginPath();
ctx.arc(0, 0, R, 0, 6.2832);
ctx.fillStyle = t.pal.mid;
ctx.fill();
ctx.globalAlpha = 1;
}
ctx.beginPath();
ctx.arc(0, 0, R, 0, 6.2832);
ctx.strokeStyle = 'rgba(255,255,255,0.55)';
ctx.lineWidth = 1 / kv;
ctx.stroke();
ctx.restore();
ctx.beginPath();
ctx.moveTo(0, 0); ctx.lineTo(0, -R * 0.62);
ctx.strokeStyle = t.pal.body;
ctx.lineWidth = R * 0.16;
ctx.lineCap = 'round';
ctx.stroke();
ctx.beginPath();
ctx.arc(0, -R * 0.66, R * 0.12, 0, 6.2832);
ctx.fillStyle = '#ffffff';
ctx.fill();
ctx.restore();
t.tipX = cx + Math.sin(phi) * R * 0.66;
t.tipY = cy - Math.cos(phi) * R * 0.66;
}
function wallBounce(t: Top, rest: number, margin: number) {
var m = t.R + margin;
if (t.x < m) { t.x = m; t.vx = Math.abs(t.vx) * rest; }
if (t.x > CALC_W - m) { t.x = CALC_W - m; t.vx = -Math.abs(t.vx) * rest; }
var top = t.R * 2.1, bottom = CALC_H - 8;
if (t.y < top) { t.y = top; t.vy = Math.abs(t.vy) * rest; }
if (t.y > bottom) { t.y = bottom; t.vy = -Math.abs(t.vy) * rest; }
}
function pairCollide(a: Top, b: Top, rest: number, spinMix: number, kickAmt: number) {
var dx = b.x - a.x, dy = (b.y - a.y) * 1.6;
var dist = Math.hypot(dx, dy);
var minDist = (a.R + b.R) * 0.92;
if (dist <= 0 || dist >= minDist) return false;
var nx = dx / dist, ny = dy / dist;
var overlap = (minDist - dist) * 0.5;
a.x -= nx * overlap; a.y -= ny * overlap / 1.6;
b.x += nx * overlap; b.y += ny * overlap / 1.6;
var vn = (b.vx - a.vx) * nx + (b.vy - a.vy) * ny;
if (vn >= 0) return false;
var j = -(1 + rest) * vn / 2;
a.vx -= j * nx; a.vy -= j * ny;
b.vx += j * nx; b.vy += j * ny;
var tr = (b.omega - a.omega) * spinMix;
a.omega += tr; b.omega -= tr;
a.vx += -ny * tr * 1.4; a.vy += nx * tr * 1.4;
b.vx -= -ny * tr * 1.4; b.vy -= nx * tr * 1.4;
a.kick = kickAmt; b.kick = kickAmt;
addPulse((a.x + b.x) / 2, (a.y + b.y) / 2 + 6, '255,255,255');
return true;
}
// 기법: 각속도가 낮아질수록 기울기가 커지다가, 각속도가 FALL_OMEGA 밑이고 기울기가 TILT_LIMIT 를 넘는 순간
// 쓰러짐 상태로 바꾼다. 쓰러지는 동안은 중력 가속을 기울기 속도에 더하고 바닥에 닿으면 반발로 한 번 튕긴 뒤 눕는다.
var TILT_LIMIT = 0.62;
var FALL_OMEGA = 9;
var OMEGA_START = 30;
var OMEGA_FADE = 0.7;
var tops = [makeTop(96, 150, 1, 32, 30), makeTop(224, 150, 3, 32, 14)];
tops.forEach(function (t) { t.state = 'spin'; t.tv = 0; t.rest = 0; });
function judgeTumble(t: Top) {
var slow = 1 - clamp(t.omega / OMEGA_START, 0, 1);
t.tilt = 0.08 + 0.95 * Math.pow(slow, 2.2);
return t.omega < FALL_OMEGA && t.tilt > TILT_LIMIT;
}
function stepTop(t: Top) {
if (t.state === 'spin') {
t.omega *= Math.exp(-OMEGA_FADE * dtS);
t.spin += t.omega * dtS;
t.az += (3 + (1 - t.omega / OMEGA_START) * 4) * dtS;
if (judgeTumble(t)) { t.state = 'fall'; t.tv = 0.5; t.az = 0.35 + (t.x < 160 ? 0 : 2.4); }
} else if (t.state === 'fall') {
t.spin += t.omega * dtS;
t.tv += 18 * Math.sin(t.tilt) * dtS;
t.tilt += t.tv * dtS;
if (t.tilt >= 1.5) {
t.tilt = 1.5;
if (t.tv > 0.9) { t.tv = -t.tv * 0.28; addPulse(t.x, t.y + 4, '255,255,255'); }
else { t.tv = 0; t.state = 'down'; t.rest = 0; }
}
} else {
t.omega *= 0.97;
t.spin += t.omega * dtS;
t.rest += FIXED_DT;
if (t.rest > 1100) {
t.state = 'spin'; t.omega = OMEGA_START; t.tilt = 0.08;
addPulse(t.x, t.y + 4, '168,230,207');
}
}
}
function stepWorld() {
for (var i = 0; i < tops.length; i += 1) stepTop(tops[i]);
stepPulses();
}
function drawLimitLines(t: Top) {
if (t.state !== 'spin') return;
ctx.setLineDash([5, 5]);
ctx.strokeStyle = 'rgba(255,255,255,0.28)';
ctx.lineWidth = 1.5;
for (var sgn = -1; sgn <= 1; sgn += 2) {
ctx.beginPath();
ctx.moveTo(t.x, t.y);
ctx.lineTo(t.x + sgn * Math.sin(TILT_LIMIT) * 120, t.y - Math.cos(TILT_LIMIT) * 96);
ctx.stroke();
}
ctx.setLineDash([]);
}
function drawWorld() {
drawArena();
for (var i = 0; i < tops.length; i += 1) drawLimitLines(tops[i]);
drawPulses();
for (var j = 0; j < tops.length; j += 1) drawTop(tops[j]);
}
function fit() {
var r = wrap.getBoundingClientRect();
cw = Math.max(1, Math.round(r.width));
ch = Math.max(1, Math.round(r.height));
canvas.width = cw; canvas.height = ch;
sc = cw / CALC_W;
drawWorld();
}
var lastTs: number | null = null;
var acc = 0;
function tick(ts: number) {
if (lastTs === null) lastTs = ts;
var frameDt = Math.min(ts - lastTs, 48);
lastTs = ts;
acc += frameDt;
while (acc >= FIXED_DT) { elapsed += FIXED_DT; stepWorld(); acc -= FIXED_DT; }
drawWorld();
rafId = requestAnimationFrame(tick);
}
for (var w0 = 0; w0 < 20; w0 += 1) { elapsed += FIXED_DT; stepWorld(); }
fit();
window.addEventListener('resize', fit);
cleaners.push(function () { window.removeEventListener('resize', fit); });
if (!reduce) rafId = requestAnimationFrame(tick);
function destroy() {
cancelAnimationFrame(rafId);
for (var i = 0; i < cleaners.length; i += 1) cleaners[i]();
}
return destroy;
}, []);
return (
<main className={styles.stage}>
<div className={`${styles.bp} is-demo`} ref={rootRef}>
<canvas className={styles.bp__canvas} ref={canvasRef} width={480} height={300} />
<p className={styles.bp__caption}>기울기 각도가 한계 값을 넘는 프레임에서 팽이를 쓰러짐 상태로 바꾸고, 몸통을 옆으로 눕히며 바닥을 따라 짧게 구르다 그림자까지 납작해지게 한다.</p>
</div>
</main>
);
}08 기울기가 한계를 넘으면 눕는 넘어짐 판정 — 측정 누적면적 22.438% · 움직인 프레임 23/23GODRICH 원작 · zip 에 SCSS·React 포함 · 팽이 돌리기 9가지 — 각속도와 세차로 계산하는 회전 장면
이 데모가 속한 글
팽이 돌리기 9가지 — 각속도와 세차로 계산하는 회전 장면돌리고, 기울고, 비틀거리고, 눕는다 — 팽이의 일생은 네 동사로 끝나고, 03번은 그 두 번째 동사를 숫자로 계산한다. 아래 아홉 개는 팽이 돌리기를 캔버스 2d 위에서 프레임마다 다시 계산해 그린 장면이며, 파일 이 글의 데모 전부 보기


