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Two independent particle streams // (14/s at the inlet, 6/s at the side port) ride a continuous px/s speed // field derived from the nozzle's local width; a THIRD, single marked tracer // cycles the whole nozzle once every 2.4s at full --foreground opacity // against the ambient field's 55%, its throat crossing deliberately held to // ~1.0s (a real ejector does it in 15-40ms — a ~30x decouple so the // acceleration reads as a followable event, not a strobe). // // Zero colour literals: the nozzle outline is --ns-muted (structure has to // survive light theme, --border alone is too faint here) and every particle // is --foreground with alpha modulation only — the tracer is never // accent-tinted, it is distinguished by luminance alone. Tokens are read via // getComputedStyle on mount, before the first paint, and re-read on a // MutationObserver watching documentElement's class. Geometry comes off the // container's smaller dimension via a ResizeObserver, so the nozzle reads at // card scale whatever the card's aspect ratio. prefers-reduced-motion runs // the exact same deterministic simulation forward to the instant the tracer // sits at throat centre, then freezes there — the single most // density/speed-contrasted frame in the cycle. // --------------------------------------------------------------------------- export interface VenturiEjectorDrawProps { /** text announced via the component's own aria-live region */ label?: string; /** extra classes merged onto the rendered root element */ className?: string; /** inline styles merged onto the root element */ style?: React.CSSProperties; } const TWO_PI = Math.PI * 2; const RATE_MAIN = 14; // ambient inlet particles / second const RATE_SIDE = 6; // entrainment side-stream particles / second const THROAT_RATIO = 0.22; // throat width as a fraction of inlet width const SPEED_INLET = 40; // px/s const SPEED_THROAT = 260; // px/s const SPEED_EXIT = 90; // px/s const TRACER_PERIOD = 2.4; // s, full nozzle transit cadence const TRACER_APPROACH = 0.7; // s, inlet -> throat zone start const TRACER_THROAT = 1.0; // s, held throat crossing const TRACER_DEPART = TRACER_PERIOD - TRACER_APPROACH - TRACER_THROAT; // 0.7s // Cone/diffuser distance fractions are DERIVED, not guessed: the cone uses an // ease-in cubic (starts at rest) and the diffuser a mirrored ease-out cubic // (ends at rest), each solved so their instantaneous speed at the throat // boundary exactly equals the throat's constant speed — zero velocity cliff // at either seam, and the throat is unambiguously the fastest stretch (a // cubic ramped up over 0.7s averages far below the flat speed it ramps INTO // over just 1.0s). CONE_FRAC = 1 / (2 + 3*(TRACER_THROAT/TRACER_APPROACH)). const CONE_FRAC = 1 / (2 + 3 * (TRACER_THROAT / TRACER_APPROACH)); const THROAT_FRAC = 1 - 2 * CONE_FRAC; // ~0.68 — the "throat" is a long, narrow mixing tube, not a pinch point const SIDE_DURATION = 0.4; // s, side-port -> merge-point travel time const AMBIENT_ALPHA = 0.55; const TRACER_ALPHA = 1.0; const TRAIL_LEN = 4; const TRAIL_SAMPLE_S = 0.055; // s between recorded trail dots const TRAIL_DECAY = [0.6, 0.35, 0.2, 0.1]; // index 0 = most recent historical dot interface Pt { x: number; y: number; } interface MainParticle { x: number; lane: number; // -1..1 offset within local half-width vScale: number; // per-particle speed multiplier, ~0.85-1.15 — keeps the flow from marching in lockstep trail: Pt[]; trailAcc: number; } interface SideParticle { t: number; // 0..1 progress from side port to merge point trail: Pt[]; trailAcc: number; } interface Geom { ductLeft: number; ductRight: number; ductLen: number; centerY: number; inletHalf: number; throatHalf: number; exitHalf: number; throatX: number; coneEndX: number; diffStartX: number; sidePortX: number; sidePortY: number; mergeX: number; mergeLane: number; particleR: number; } function lerp(a: number, b: number, t: number): number { return a + (b - a) * t; } function clamp01(t: number): number { return t < 0 ? 0 : t > 1 ? 1 : t; } function smoothstep(t: number): number { const c = clamp01(t); return c * c * (3 - 2 * c); } 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 computeGeom(w: number, h: number): Geom { const min = Math.min(w, h); const marginX = w * 0.05; const ductLeft = marginX; const ductRight = w - marginX; const ductLen = Math.max(1, ductRight - ductLeft); const centerY = h / 2; const inletHalf = Math.min(min * 0.34, h * 0.46); const throatHalf = inletHalf * THROAT_RATIO; const exitHalf = inletHalf; const throatX = ductLeft + ductLen * 0.5; const throatZoneHalf = (ductLen * THROAT_FRAC) / 2; const coneEndX = throatX - throatZoneHalf; const diffStartX = throatX + throatZoneHalf; const sidePortX = coneEndX - ductLen * 0.05; const sideT = clamp01((sidePortX - ductLeft) / Math.max(1, coneEndX - ductLeft)); const sideWallHalf = lerp(inletHalf, throatHalf, sideT ** 3); const sidePortY = centerY - sideWallHalf * 1.9; const mergeX = throatX - throatZoneHalf * 0.9; const cell = min / 40; return { ductLeft, ductRight, ductLen, centerY, inletHalf, throatHalf, exitHalf, throatX, coneEndX, diffStartX, sidePortX, sidePortY, mergeX, mergeLane: -0.6, // floored above the raw cell-derived value so very small card slots // (e.g. a compact grid tile) still read as dots and a hairline, not noise particleR: Math.max(1.4, cell * 0.42), }; } // Cosmetic only — feeds the drawn outline and particle y-placement, nothing // in scheduleX or the zone-length solve reads it, so the taper can be spread // smoothly across the whole cone instead of back-loaded into its end. function widthHalfAt(g: Geom, x: number): number { if (x <= g.coneEndX) { const t = clamp01((x - g.ductLeft) / Math.max(1, g.coneEndX - g.ductLeft)); return lerp(g.inletHalf, g.throatHalf, smoothstep(t)); } if (x < g.diffStartX) return g.throatHalf; const t = clamp01((x - g.diffStartX) / Math.max(1, g.ductRight - g.diffStartX)); return lerp(g.throatHalf, g.exitHalf, smoothstep(t)); } // Ambient particle speed only. Cubic (not smoothstep) keeps particles slow // and bunched near the inlet — the density gradient the resting loop wants — // independent of widthHalfAt's now-smoother cosmetic taper. function speedAt(g: Geom, x: number): number { if (x <= g.coneEndX) { const t = clamp01((x - g.ductLeft) / Math.max(1, g.coneEndX - g.ductLeft)); return lerp(SPEED_INLET, SPEED_THROAT, t ** 3); } if (x < g.diffStartX) return SPEED_THROAT; const t = clamp01((x - g.diffStartX) / Math.max(1, g.ductRight - g.diffStartX)); return lerp(SPEED_THROAT, SPEED_EXIT, smoothstep(t)); } /** Marked tracer's authored schedule: a fixed 0.7s / 1.0s / 0.7s split whose * geometry (CONE_FRAC/THROAT_FRAC) was solved so instantaneous speed is * continuous at both seams — ease-in cubic through the cone (starts at * rest, exits at exactly the throat's constant speed), linear through the * throat (that same speed, held), mirrored ease-out cubic through the * diffuser (enters at that speed, eases to rest at the exit). No cliff at * either boundary, and the throat is unambiguously the fastest stretch. * phase === TRACER_APPROACH + TRACER_THROAT/2 lands it exactly at throat * centre (used by the reduced-motion freeze). */ function scheduleX(g: Geom, phase: number): number { const coneDist = g.coneEndX - g.ductLeft; const throatDist = g.diffStartX - g.coneEndX; const diffDist = g.ductRight - g.diffStartX; if (phase < TRACER_APPROACH) { const t = phase / TRACER_APPROACH; return g.ductLeft + coneDist * t ** 3; } if (phase < TRACER_APPROACH + TRACER_THROAT) { const t = (phase - TRACER_APPROACH) / TRACER_THROAT; return g.coneEndX + throatDist * t; } const t = (phase - TRACER_APPROACH - TRACER_THROAT) / TRACER_DEPART; return g.diffStartX + diffDist * (1 - (1 - t) ** 3); } function pushTrail(trail: Pt[], pt: Pt): void { trail.push(pt); if (trail.length > TRAIL_LEN) trail.shift(); } export function VenturiEjectorDraw({ label = "Processing", className = "", style }: VenturiEjectorDrawProps) { const rootRef = useRef(null); const canvasRef = useRef(null); useEffect(() => { const root = rootRef.current; const canvas = canvasRef.current; if (!root || !canvas) return; const ctx = canvas.getContext("2d"); if (!ctx) return; let mutedStyle = "#4d4d4d"; let fgStyle = "#171717"; // -- token read: happens synchronously, before any resize or paint. // Assigned to fillStyle/strokeStyle verbatim (whatever colour syntax the // token actually holds — hex, oklch, hsl) and alpha is modulated with // globalAlpha rather than a parsed-then-rebuilt rgba() string, so this // never depends on a specific token format. ---------------------------- const readTokens = () => { const cs = getComputedStyle(document.documentElement); mutedStyle = cs.getPropertyValue("--ns-muted").trim() || mutedStyle; fgStyle = cs.getPropertyValue("--foreground").trim() || fgStyle; }; readTokens(); let disposed = false; let w = 0; let h = 0; let sized = false; let dpr = 1; let geom = computeGeom(1, 1); const rand = mulberry32(0xc0ffee); let mainParticles: MainParticle[] = []; let sideParticles: SideParticle[] = []; let emitMainAcc = 0; let emitSideAcc = 0; let tracerPhase = 0; let tracerTrail: Pt[] = []; let tracerTrailAcc = 0; const resetSim = () => { mainParticles = []; sideParticles = []; emitMainAcc = 0; emitSideAcc = 0; tracerPhase = 0; tracerTrail = []; tracerTrailAcc = 0; }; const mainXY = (p: MainParticle): Pt => ({ x: p.x, y: geom.centerY + p.lane * widthHalfAt(geom, p.x) * 0.82, }); const sideXY = (p: SideParticle): Pt => { const t = smoothstep(p.t); const mergeY = geom.centerY + geom.mergeLane * widthHalfAt(geom, geom.mergeX) * 0.82; return { x: lerp(geom.sidePortX, geom.mergeX, t), y: lerp(geom.sidePortY, mergeY, t), }; }; const tracerXY = (): Pt => ({ x: scheduleX(geom, tracerPhase), y: geom.centerY }); const step = (dt: number) => { emitMainAcc += dt * RATE_MAIN; while (emitMainAcc >= 1) { mainParticles.push({ x: geom.ductLeft, lane: (rand() * 2 - 1) * 0.9, vScale: 0.85 + rand() * 0.3, trail: [], trailAcc: 0, }); emitMainAcc -= 1; } emitSideAcc += dt * RATE_SIDE; while (emitSideAcc >= 1) { sideParticles.push({ t: 0, trail: [], trailAcc: 0 }); emitSideAcc -= 1; } const nextSide: SideParticle[] = []; for (const p of sideParticles) { p.t += dt / SIDE_DURATION; p.trailAcc += dt; if (p.trailAcc >= TRAIL_SAMPLE_S) { pushTrail(p.trail, sideXY(p)); p.trailAcc -= TRAIL_SAMPLE_S; } if (p.t >= 1) { mainParticles.push({ x: geom.mergeX, lane: geom.mergeLane + (rand() - 0.5) * 0.3, vScale: 0.85 + rand() * 0.3, trail: p.trail, trailAcc: p.trailAcc, }); } else { nextSide.push(p); } } sideParticles = nextSide; const nextMain: MainParticle[] = []; for (const p of mainParticles) { p.x += speedAt(geom, p.x) * p.vScale * dt; p.trailAcc += dt; if (p.trailAcc >= TRAIL_SAMPLE_S) { pushTrail(p.trail, mainXY(p)); p.trailAcc -= TRAIL_SAMPLE_S; } if (p.x <= geom.ductRight) nextMain.push(p); } mainParticles = nextMain; tracerPhase += dt; if (tracerPhase >= TRACER_PERIOD) { tracerPhase -= TRACER_PERIOD; // clear the trail on wrap — otherwise a ghost cluster lingers at the // exit for ~220ms while a fresh dot appears at the inlet, reading as // two tracers instead of one. tracerTrail.length = 0; tracerTrailAcc = 0; } tracerTrailAcc += dt; if (tracerTrailAcc >= TRAIL_SAMPLE_S) { pushTrail(tracerTrail, tracerXY()); tracerTrailAcc -= TRAIL_SAMPLE_S; } }; const drawDot = (pt: Pt, alpha: number) => { ctx.beginPath(); ctx.fillStyle = fgStyle; ctx.globalAlpha = alpha; ctx.arc(pt.x, pt.y, geom.particleR, 0, TWO_PI); ctx.fill(); ctx.globalAlpha = 1; }; const drawStream = (trail: Pt[], current: Pt, baseAlpha: number) => { for (let i = 0; i < trail.length; i++) { const posFromNewest = trail.length - 1 - i; const decay = TRAIL_DECAY[posFromNewest] ?? 0; drawDot(trail[i], baseAlpha * decay); } drawDot(current, baseAlpha); }; const drawOutline = () => { ctx.strokeStyle = mutedStyle; ctx.lineWidth = Math.max(1.2, geom.particleR * 0.6); ctx.lineJoin = "round"; const samples = 40; for (const sign of [-1, 1] as const) { ctx.beginPath(); for (let i = 0; i <= samples; i++) { const x = lerp(geom.ductLeft, geom.ductRight, i / samples); const y = geom.centerY + sign * widthHalfAt(geom, x); if (i === 0) ctx.moveTo(x, y); else ctx.lineTo(x, y); } ctx.stroke(); } // inlet / exit caps ctx.beginPath(); ctx.moveTo(geom.ductLeft, geom.centerY - geom.inletHalf); ctx.lineTo(geom.ductLeft, geom.centerY + geom.inletHalf); ctx.moveTo(geom.ductRight, geom.centerY - geom.exitHalf); ctx.lineTo(geom.ductRight, geom.centerY + geom.exitHalf); ctx.stroke(); // side (entrainment) port stub const wallY = geom.centerY - widthHalfAt(geom, geom.sidePortX); ctx.beginPath(); ctx.moveTo(geom.sidePortX, wallY); ctx.lineTo(geom.sidePortX, geom.sidePortY); ctx.stroke(); }; const draw = () => { ctx.clearRect(0, 0, w, h); drawOutline(); for (const p of sideParticles) drawStream(p.trail, sideXY(p), AMBIENT_ALPHA); for (const p of mainParticles) drawStream(p.trail, mainXY(p), AMBIENT_ALPHA); drawStream(tracerTrail, tracerXY(), TRACER_ALPHA); }; // Deterministic fixed-timestep advance, reused by both the reduced-motion // freeze and the live path's pre-paint warm-up — a fresh nozzle must // never render as an empty outline (the resting loop's t0 requires // particles "distributed across the whole nozzle" already). const warmup = (seconds: number) => { const FIXED_DT = 1 / 60; let t = 0; while (t < seconds) { step(FIXED_DT); t += FIXED_DT; } }; // Exactly 2 full cycles + half the throat segment: the tracer's phase // lands at TRACER_APPROACH + TRACER_THROAT/2, which scheduleX resolves // to precisely throat centre (see scheduleX) — the most structured // single frame in the cycle. const REDUCED_FREEZE_S = TRACER_PERIOD * 2 + TRACER_APPROACH + TRACER_THROAT / 2; const startLive = () => { resetSim(); if (reducedRef.current) { warmup(REDUCED_FREEZE_S); draw(); return; } // 1-2 randomized cycles so ambient density/lane variety and the // tracer's resting phase differ between mounts, and the field already // reads as flowing before the very first painted frame. warmup(TRACER_PERIOD * (1 + rand())); last = 0; if (visible && !raf) raf = requestAnimationFrame(loop); }; let lastW = 0; let lastH = 0; const resize = () => { const rect = root.getBoundingClientRect(); w = rect.width; h = rect.height; if (w < 2 || h < 2) { sized = false; return; } // ResizeObserver fires an initial callback on observe() even when // nothing changed — skip the reset+warm-up (and the fresh rand() draw // it consumes) unless the size actually moved, or the field visibly // teleports to a new random configuration ~100ms after mount. if (sized && Math.abs(w - lastW) < 1 && Math.abs(h - lastH) < 1) return; lastW = w; lastH = h; sized = true; dpr = Math.min(window.devicePixelRatio || 1, 2); canvas.width = Math.round(w * dpr); canvas.height = Math.round(h * dpr); canvas.style.width = `${w}px`; canvas.style.height = `${h}px`; ctx.setTransform(dpr, 0, 0, dpr, 0, 0); geom = computeGeom(w, h); cancelAnimationFrame(raf); raf = 0; startLive(); }; let raf = 0; let last = 0; let visible = true; const loop = (now: number) => { raf = 0; if (!visible || !sized || reducedRef.current) return; if (last === 0) last = now; const dt = Math.min(0.1, (now - last) / 1000); last = now; step(dt); draw(); raf = requestAnimationFrame(loop); }; const mq = window.matchMedia("(prefers-reduced-motion: reduce)"); const reducedRef = { current: mq.matches }; const onMq = () => { reducedRef.current = mq.matches; if (!sized) return; cancelAnimationFrame(raf); raf = 0; startLive(); }; mq.addEventListener("change", onMq); resize(); let resizeTimer = 0; const ro = new ResizeObserver(() => { window.clearTimeout(resizeTimer); resizeTimer = window.setTimeout(() => { if (!disposed) resize(); }, 100); }); ro.observe(root); const io = new IntersectionObserver((entries) => { visible = entries[0]?.isIntersecting ?? true; if (visible && sized && !reducedRef.current && !raf) { last = 0; raf = requestAnimationFrame(loop); } }); io.observe(root); const onVis = () => { if (document.hidden) { cancelAnimationFrame(raf); raf = 0; } else if (visible && sized && !reducedRef.current && !raf) { last = 0; raf = requestAnimationFrame(loop); } }; document.addEventListener("visibilitychange", onVis); const themeObserver = new MutationObserver(() => { readTokens(); if (reducedRef.current && sized) draw(); }); themeObserver.observe(document.documentElement, { attributes: true, attributeFilter: ["class"] }); return () => { disposed = true; cancelAnimationFrame(raf); window.clearTimeout(resizeTimer); mq.removeEventListener("change", onMq); document.removeEventListener("visibilitychange", onVis); ro.disconnect(); io.disconnect(); themeObserver.disconnect(); }; }, []); return (

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