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Once accumulated mass or local hydraulics cross a // threshold, a coherent portion sloughs off as an "ice run" and is carried // downstream, after which accumulation resumes from a smaller residual base // (documented in river-ice engineering literature, e.g. Beltaos, River Ice // Formation) — never a full reset to bare channel. // // One canvas, cleared and redrawn every frame from a fixed-timestep (20Hz) // simulation accumulator, mirroring how the paint-rate-decoupling guidance // wants any real periodic process handled: the curl-noise velocity field // that advects crystals is re-sampled at each 20Hz tick (never per-frame), // and crystal position, dam growth and the release/chunk animation all // advance inside that same fixed-step loop so motion never depends on // display refresh rate. // // Crystals spawn at the channel's left edge at a fixed rate, drift right on // a base current plus a divergence-free curl of a 2-octave value-noise // potential field (the same construction as background-ascii-flow: curl of // a scalar field guarantees the flow never "pools" a crystal — it is always // being pushed somewhere), and lodge once they reach the dam's leading // (upstream) face or the rack itself. The dam's crest height is driven on // its own clock (accumulation compressed from the real minutes-to-hours // timescale to ~15-20s, per cycle, toward a threshold measured as 70% of the // channel's cross-section) independently of exactly which crystal lodges // when — the crystal layer is the visible turbulent-transport texture, the // crest curve is the legible headline metric. On crossing threshold, 35-45% // of the accumulated crest breaks free as one coherent chunk that travels // across and off the right edge over 1.2s while the crest itself eases down // to a 55-65% residual base, and accumulation resumes from there. // --------------------------------------------------------------------------- const SIM_HZ = 20; // curl-noise field + dam/crystal sim tick rate const SIM_STEP_S = 1 / SIM_HZ; const SIM_STEP_MS = 1000 / SIM_HZ; const MAX_CATCHUP_TICKS = 8; // guards against a huge dt after a tab was backgrounded const SPAWN_RATE = 8; // crystals/s at the left edge (spec: 6-10/s) const BASE_TRANSIT_S = 5; // baseline left-edge-to-rack transit time (spec: 2-8s) const THRESHOLD = 0.7; // release threshold: crest at 70% of channel cross-section const CYCLE_MIN_S = 15; const CYCLE_MAX_S = 20; // dam accumulation compressed to ~15-20s per cycle const RELEASE_MS = 1200; // chunk transit across and off the frame const CREST_DROP_MS = 420; // how fast the crest itself eases down once a release fires const RESIDUAL_MIN = 0.55; const RESIDUAL_MAX = 0.65; // residual dam: 55-65% of prior crest survives a release const STATIC_TOWARD_THRESHOLD = 0.55; // reduced-motion freeze: 55% of the way to threshold const STATIC_CRYSTAL_COUNT = 8; const NOISE_FREQ = 0.045; const FIELD_SPEED = 0.1; // t units/s the potential drifts const CURL_EPS = 0.5; function hash2(ix: number, iy: number, seed: number): number { const s = Math.sin(ix * 127.1 + iy * 311.7 + seed * 74.7) * 43758.5453; return s - Math.floor(s); } function smooth(t: number) { return t * t * (3 - 2 * t); } function noise2D(x: number, y: number, seed: number): number { const x0 = Math.floor(x); const y0 = Math.floor(y); const tx = smooth(x - x0); const ty = smooth(y - y0); const a = hash2(x0, y0, seed); const b = hash2(x0 + 1, y0, seed); const c = hash2(x0, y0 + 1, seed); const d = hash2(x0 + 1, y0 + 1, seed); const top = a + (b - a) * tx; const bot = c + (d - c) * tx; return top + (bot - top) * ty; } // 2-octave scalar potential function potential(x: number, y: number, t: number): number { const n1 = noise2D(x * NOISE_FREQ, y * NOISE_FREQ + t, 8.1); const n2 = noise2D(x * NOISE_FREQ * 2.2 - t * 0.5, y * NOISE_FREQ * 2.2, 41.7); return n1 * 0.7 + n2 * 0.3; } // curl of the potential -> divergence-free turbulent velocity, px/s once scaled function curlVel(x: number, y: number, t: number, scale: number): [number, number] { const py1 = potential(x, y + CURL_EPS, t); const py0 = potential(x, y - CURL_EPS, t); const px1 = potential(x + CURL_EPS, y, t); const px0 = potential(x - CURL_EPS, y, t); const vx = ((py1 - py0) / (2 * CURL_EPS)) * scale; const vy = -((px1 - px0) / (2 * CURL_EPS)) * scale; return [vx, vy]; } function mulberry32(seed: number) { let a = seed >>> 0; return () => { a = (a + 0x6d2b79f5) >>> 0; let t = a; t = Math.imul(t ^ (t >>> 15), t | 1); t ^= t + Math.imul(t ^ (t >>> 7), t | 61); return ((t ^ (t >>> 14)) >>> 0) / 4294967296; }; } function randRange(rand: () => number, lo: number, hi: number): number { return lo + rand() * (hi - lo); } function clamp(v: number, lo: number, hi: number): number { return Math.max(lo, Math.min(hi, v)); } interface Tokens { fg: string; muted: string; } function readTokens(): Tokens | null { if (typeof document === "undefined") return null; const cs = getComputedStyle(document.documentElement); const fg = cs.getPropertyValue("--foreground").trim(); const muted = cs.getPropertyValue("--ns-muted").trim(); if (!fg || !muted) return null; // not loaded yet — no paint before this return { fg, muted }; } interface Geo { W: number; H: number; minDim: number; channelTop: number; channelBottom: number; channelH: number; channelLen: number; rackX: number; exitX: number; pileMinW: number; pileMaxW: number; crystalR: number; curlScale: number; baseVx: number; } function computeGeo(W: number, H: number): Geo { const minDim = Math.min(W, H); const channelTop = H * 0.14; const channelBottom = H * 0.86; const channelH = channelBottom - channelTop; const rackX = W * 0.78; const exitX = W * 1.08; const channelLen = rackX; return { W, H, minDim, channelTop, channelBottom, channelH, channelLen, rackX, exitX, pileMinW: minDim * 0.09, pileMaxW: minDim * 0.3, crystalR: clamp(minDim * 0.014, 2, 4), curlScale: minDim * 0.5, baseVx: channelLen / BASE_TRANSIT_S, }; } function pileWidth(crestFrac: number, g: Geo): number { return g.pileMinW + (crestFrac / THRESHOLD) * (g.pileMaxW - g.pileMinW); } /** height of the dam's ice surface above the channel floor at a given x, for the current crest fraction */ function damHeightAt(x: number, crestFrac: number, g: Geo): number { if (crestFrac <= 0) return 0; const w = pileWidth(crestFrac, g); const left = g.rackX - w; if (x < left) return 0; const t = clamp((x - left) / Math.max(w, 0.001), 0, 1); return crestFrac * g.channelH * Math.pow(t, 1.4); } interface Crystal { x: number; y: number; vx: number; vy: number; } interface Chunk { x: number; y: number; y0: number; startedAtMs: number; } type Phase = "accumulate" | "release"; interface SimState { crystals: Crystal[]; spawnAcc: number; phase: Phase; cycleT: number; // seconds since this accumulation phase started cycleRiseS: number; residualBase: number; // crest fraction this cycle rises from releaseElapsedMs: number; releaseResidual: number; // crest fraction the current release settles to chunk: Chunk | null; simTimeS: number; } function freshSim(rand: () => number): SimState { return { crystals: [], spawnAcc: 0, phase: "accumulate", cycleT: 0, cycleRiseS: randRange(rand, CYCLE_MIN_S, CYCLE_MAX_S), residualBase: 0, releaseElapsedMs: 0, releaseResidual: 0, chunk: null, simTimeS: 0, }; } /** current crest fraction (0..THRESHOLD) as a pure function of phase state */ function currentCrestFrac(sim: SimState): number { if (sim.phase === "accumulate") { const p = clamp(sim.cycleT / sim.cycleRiseS, 0, 1); const eased = smooth(p); return sim.residualBase + (THRESHOLD - sim.residualBase) * eased; } const dropP = clamp(sim.releaseElapsedMs / CREST_DROP_MS, 0, 1); const eased = smooth(dropP); return THRESHOLD + (sim.releaseResidual - THRESHOLD) * eased; } function spawnCrystal(sim: SimState, g: Geo, rand: () => number) { sim.crystals.push({ x: 0, y: randRange(rand, g.channelTop + 3, g.channelBottom - 3), vx: g.baseVx, vy: 0, }); } function beginRelease(sim: SimState, g: Geo, rand: () => number) { sim.phase = "release"; sim.releaseElapsedMs = 0; sim.releaseResidual = THRESHOLD * randRange(rand, RESIDUAL_MIN, RESIDUAL_MAX); const crestY = g.channelBottom - THRESHOLD * g.channelH; sim.chunk = { x: g.rackX - 2, y: crestY, y0: crestY, startedAtMs: 0 }; } function endRelease(sim: SimState, rand: () => number) { sim.phase = "accumulate"; sim.residualBase = sim.releaseResidual; sim.cycleT = 0; sim.cycleRiseS = randRange(rand, CYCLE_MIN_S, CYCLE_MAX_S); sim.chunk = null; } /** advances the whole sim (spawn, curl-noise field resample, dam clock, release/chunk) by one fixed 20Hz tick */ function tick(sim: SimState, g: Geo, rand: () => number) { sim.simTimeS += SIM_STEP_S; sim.spawnAcc += SIM_STEP_S * SPAWN_RATE; while (sim.spawnAcc >= 1) { sim.spawnAcc -= 1; spawnCrystal(sim, g, rand); } const crestFrac = currentCrestFrac(sim); const t = sim.simTimeS * FIELD_SPEED; const next: Crystal[] = []; for (const c of sim.crystals) { const [cvx, cvy] = curlVel(c.x, c.y, t, g.curlScale); c.vx = g.baseVx + cvx; c.vy = cvy; c.x += c.vx * SIM_STEP_S; c.y += c.vy * SIM_STEP_S; if (c.y < g.channelTop) { c.y = g.channelTop; c.vy = Math.abs(c.vy); } else if (c.y > g.channelBottom) { c.y = g.channelBottom; c.vy = -Math.abs(c.vy); } if (c.x >= g.rackX) continue; // hit the rack — lodged const leadX = g.rackX - pileWidth(crestFrac, g); if (c.x >= leadX) { const dh = damHeightAt(c.x, crestFrac, g); if (c.y >= g.channelBottom - dh) continue; // lodged in the dam's face } if (c.x > g.W + 4) continue; // drifted clean past the frame, drop it next.push(c); } sim.crystals = next; if (sim.phase === "accumulate") { sim.cycleT += SIM_STEP_S; if (sim.cycleT >= sim.cycleRiseS) beginRelease(sim, g, rand); } else { sim.releaseElapsedMs += SIM_STEP_MS; if (sim.chunk) { const p = clamp(sim.releaseElapsedMs / RELEASE_MS, 0, 1); const eased = 1 - (1 - p) * (1 - p); // ease-out — quick break, then swept downstream sim.chunk.x = g.rackX - 2 + eased * (g.exitX - (g.rackX - 2)); const [wvx, wvy] = curlVel(sim.chunk.x, sim.chunk.y0, t, g.curlScale * 0.4); void wvx; sim.chunk.y = sim.chunk.y0 + wvy * p * 0.6 + p * g.channelH * 0.08; } if (sim.releaseElapsedMs >= RELEASE_MS) endRelease(sim, rand); } } function drawWater(ctx: CanvasRenderingContext2D, g: Geo, tokens: Tokens) { ctx.save(); ctx.globalAlpha = 0.3; ctx.fillStyle = tokens.muted; ctx.fillRect(0, g.channelTop, g.W, g.channelH); ctx.restore(); } function drawDam(ctx: CanvasRenderingContext2D, g: Geo, tokens: Tokens, crestFrac: number) { if (crestFrac <= 0.002) return; const w = pileWidth(crestFrac, g); const left = g.rackX - w; const steps = 20; ctx.save(); ctx.beginPath(); ctx.moveTo(left, g.channelBottom); for (let i = 0; i <= steps; i++) { const x = left + (w * i) / steps; const y = g.channelBottom - damHeightAt(x, crestFrac, g); ctx.lineTo(x, y); } ctx.lineTo(g.rackX, g.channelBottom); ctx.closePath(); const crestY = g.channelBottom - crestFrac * g.channelH; const grad = ctx.createLinearGradient(0, crestY, 0, g.channelBottom); grad.addColorStop(0, tokens.fg); grad.addColorStop(1, tokens.muted); ctx.globalAlpha = 0.92; ctx.fillStyle = grad; ctx.fill(); ctx.restore(); } function drawRack(ctx: CanvasRenderingContext2D, g: Geo, tokens: Tokens) { ctx.save(); ctx.strokeStyle = tokens.fg; ctx.globalAlpha = 1; ctx.lineWidth = Math.max(1.5, g.minDim * 0.006); ctx.beginPath(); ctx.moveTo(g.rackX, g.channelTop); ctx.lineTo(g.rackX, g.channelBottom); ctx.stroke(); // grate ticks — reads as a structural obstruction, not a bare line ctx.lineWidth = Math.max(1, g.minDim * 0.004); ctx.globalAlpha = 0.8; const tickCount = 6; const tickLen = g.minDim * 0.02; for (let i = 1; i < tickCount; i++) { const y = g.channelTop + (g.channelH * i) / tickCount; ctx.beginPath(); ctx.moveTo(g.rackX - tickLen, y); ctx.lineTo(g.rackX + tickLen, y); ctx.stroke(); } ctx.restore(); } function drawCrystals(ctx: CanvasRenderingContext2D, g: Geo, tokens: Tokens, crystals: Crystal[]) { ctx.save(); ctx.fillStyle = tokens.fg; ctx.globalAlpha = 0.78; for (const c of crystals) { ctx.beginPath(); ctx.arc(c.x, c.y, g.crystalR, 0, Math.PI * 2); ctx.fill(); } ctx.restore(); } function drawChunk(ctx: CanvasRenderingContext2D, g: Geo, tokens: Tokens, chunk: Chunk) { ctx.save(); ctx.fillStyle = tokens.fg; ctx.globalAlpha = 0.9; const r = g.minDim * 0.045; const offsets: [number, number, number][] = [ [0, 0, r], [-r * 0.9, r * 0.35, r * 0.65], [r * 0.85, -r * 0.25, r * 0.6], ]; for (const [dx, dy, rr] of offsets) { ctx.beginPath(); ctx.arc(chunk.x + dx, chunk.y + dy, rr, 0, Math.PI * 2); ctx.fill(); } ctx.restore(); } function render(ctx: CanvasRenderingContext2D, g: Geo, tokens: Tokens, sim: SimState) { ctx.clearRect(0, 0, g.W, g.H); drawWater(ctx, g, tokens); const crestFrac = currentCrestFrac(sim); drawDam(ctx, g, tokens, crestFrac); drawRack(ctx, g, tokens); drawCrystals(ctx, g, tokens, sim.crystals); if (sim.chunk) drawChunk(ctx, g, tokens, sim.chunk); } /** deterministically builds the reduced-motion freeze frame: mid-accumulation * at 55% toward threshold, several crystals visibly mid-transit. */ function buildReducedSim(g: Geo, rand: () => number): SimState { const sim = freshSim(rand); sim.cycleT = sim.cycleRiseS * STATIC_TOWARD_THRESHOLD; const crystals: Crystal[] = []; for (let i = 0; i < STATIC_CRYSTAL_COUNT; i++) { const x = randRange(rand, g.rackX * 0.06, g.rackX * 0.82); const y = randRange(rand, g.channelTop + 4, g.channelBottom - 4); crystals.push({ x, y, vx: g.baseVx, vy: 0 }); } sim.crystals = crystals; return sim; } export interface FrazilDamProps { /** small mono label above the chart */ label?: string; /** extra classes merged onto the rendered root element */ className?: string; } export function FrazilDam({ label = "PROCESSING", className = "" }: FrazilDamProps) { const chartWrapRef = useRef(null); const canvasRef = useRef(null); useEffect(() => { const chartWrap = chartWrapRef.current; const canvas = canvasRef.current; if (!chartWrap || !canvas) return; const ctx = canvas.getContext("2d"); if (!ctx) return; const reduced = window.matchMedia("(prefers-reduced-motion: reduce)").matches; const rand = mulberry32(0xf2a217); let disposed = false; let tokens: Tokens | null = null; let dpr = 1; let g: Geo = computeGeo(1, 1); let sized = false; let visible = true; let sim = freshSim(rand); let raf = 0; let tokenWaitRaf = 0; let lastMs = 0; let acc = 0; const fitCanvas = () => { canvas.width = Math.max(1, Math.round(g.W * dpr)); canvas.height = Math.max(1, Math.round(g.H * dpr)); ctx.setTransform(dpr, 0, 0, dpr, 0, 0); }; const resizeAll = () => { if (!tokens) return; const rect = chartWrap.getBoundingClientRect(); if (rect.width < 4 || rect.height < 4) { sized = false; return; } dpr = Math.min(window.devicePixelRatio || 1, 2); g = computeGeo(rect.width, rect.height); fitCanvas(); sized = true; }; const loop = (nowMs: number) => { if (disposed) return; if (!visible) { raf = 0; // IntersectionObserver re-arms this on re-entering view return; } raf = requestAnimationFrame(loop); if (!sized || !tokens) return; if (lastMs === 0) lastMs = nowMs; acc += Math.min(200, nowMs - lastMs); lastMs = nowMs; let ticks = 0; while (acc >= SIM_STEP_MS && ticks < MAX_CATCHUP_TICKS) { acc -= SIM_STEP_MS; tick(sim, g, rand); ticks += 1; } render(ctx, g, tokens, sim); }; const buildReducedFrame = () => { if (!tokens) return; sim = buildReducedSim(g, mulberry32(0xc0ffee)); render(ctx, g, tokens, sim); }; let started = false; const kick = () => { if (started || disposed || !tokens || !sized) return; started = true; if (reduced) { buildReducedFrame(); return; // no rAF loop, no timers — a single deterministic frame } lastMs = 0; acc = 0; raf = requestAnimationFrame(loop); }; const start = () => { if (disposed) return; tokens = readTokens(); if (!tokens) { tokenWaitRaf = requestAnimationFrame(start); return; } resizeAll(); kick(); }; const ro = new ResizeObserver(() => { if (!tokens) return; resizeAll(); if (reduced) buildReducedFrame(); kick(); }); ro.observe(chartWrap); const mo = new MutationObserver(() => { tokens = readTokens(); if (tokens) { resizeAll(); if (reduced) buildReducedFrame(); kick(); } }); mo.observe(document.documentElement, { attributes: true, attributeFilter: ["class"] }); const io = new IntersectionObserver((entries) => { const wasVisible = visible; visible = entries[0]?.isIntersecting ?? true; if (visible && !wasVisible && !reduced && tokens && !raf) { tokens = readTokens() ?? tokens; // pick up any theme flip that happened while hidden resizeAll(); lastMs = 0; acc = 0; raf = requestAnimationFrame(loop); } }); io.observe(chartWrap); start(); return () => { disposed = true; cancelAnimationFrame(raf); cancelAnimationFrame(tokenWaitRaf); ro.disconnect(); mo.disconnect(); io.disconnect(); }; }, []); return (

{label}

FRAZIL

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