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ProfilometerTrace — a section divider rendered as a live contact // profilometer readout: a diamond stylus dragged across a surface at // constant speed, its vertical deflection recorded as a trace that // decomposes into roughness (short-wavelength) and waviness (longer- // wavelength) components, per the standard ISO 4287 / ASME B46.1 // roughness-measurement cutoff-filter convention. // // A fixed stylus sits near the right edge of the band. The measured // surface's trace scrolls continuously beneath it, right to left, at a // constant real-time rate — old excursions exit the left edge, new ones // enter at the right, forever. The trace itself is NOT a ring buffer of // discrete samples pushed/shifted every tick: it is a closed-form function // of world-space x (continuous, seeded, deterministic) sampled fresh at // whatever scroll offset the clock has reached. That makes a wrap seam // structurally impossible rather than something to avoid by bookkeeping — // there is no wrap, no buffer edge, just a sliding window over an infinite // deterministic field. // // height(x) = 0.6 * valueNoise(x, 18px) + 0.4 * valueNoise(x, 54px) -- roughness, 2 octaves // + 0.4 * sin(2*PI*x / 240px) -- waviness, 0.4x roughness amplitude // normalized to peak deflection = 0.35 * band height. // // Scroll offset advances by realSpeed * dt every frame (dt = clamped real // elapsed ms, never raw frame count) so the rate is identical at 30Hz or // 144Hz displays. Hovering the band eases realSpeed toward 40% of base // (a 60% slowdown, never a full stop) and eases back to 100% over 400ms // after the pointer leaves — a global rate change, not a per-x warp, so // the trace never tears or shows two speeds across one continuous curve. // --------------------------------------------------------------------------- const SPEED_PX_S = 24; // base scroll speed, px/s const SAMPLE_PITCH = 4; // px between polyline vertices (visual resolution, not a buffer) const STYLUS_X_FRAC = 0.82; // stylus fixed position, fraction of band width const PEAK_RATIO = 0.35; // peak deflection = PEAK_RATIO * band height const ROUGH_WL_A = 18; // roughness octave A wavelength, px const ROUGH_WL_B = 54; // roughness octave B wavelength, px const WAVE_WL = 240; // waviness wavelength, px const WAVE_AMP_RATIO = 0.4; // waviness amplitude, relative to roughness amplitude const ROUGH_WEIGHT_A = 0.6; const ROUGH_WEIGHT_B = 0.4; const RAW_ENVELOPE = ROUGH_WEIGHT_A + ROUGH_WEIGHT_B + WAVE_AMP_RATIO; // normalizer const HOVER_SLOWDOWN = 0.4; // minimum speed multiplier under the pointer const HOVER_ENGAGE_MS = 150; // ease-in time constant const HOVER_RELEASE_MS = 400; // ease-out time constant, per spec const SEED = 0x9e3779b9; function hash1(i: number): number { let t = (i ^ SEED) >>> 0; t = Math.imul(t ^ (t >>> 15), t | 1); t ^= t + Math.imul(t ^ (t >>> 7), t | 61); const u = ((t ^ (t >>> 14)) >>> 0) / 4294967296; return u * 2 - 1; // [-1, 1] } function smooth(t: number): number { return t * t * (3 - 2 * t); } // deterministic 1D value noise: hashed lattice at `wavelength` spacing, // smoothstep-interpolated so it is continuous (and therefore seamless at // any sampling offset) rather than a discrete buffer. function valueNoise(x: number, wavelength: number): number { const p = x / wavelength; const i0 = Math.floor(p); const f = smooth(p - i0); const a = hash1(i0); const b = hash1(i0 + 1); return a + (b - a) * f; } function traceHeight(worldX: number): number { const rough = ROUGH_WEIGHT_A * valueNoise(worldX, ROUGH_WL_A) + ROUGH_WEIGHT_B * valueNoise(worldX, ROUGH_WL_B); const wave = WAVE_AMP_RATIO * Math.sin((2 * Math.PI * worldX) / WAVE_WL); return (rough + wave) / RAW_ENVELOPE; // normalized to roughly [-1, 1] } export interface ProfilometerTraceProps { /** band height in px (divider scale). Default 56. */ height?: number; /** extra classes merged onto the rendered root element */ className?: string; } export function ProfilometerTrace({ height = 56, className = "", }: ProfilometerTraceProps) { 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; const reduced = window.matchMedia( "(prefers-reduced-motion: reduce)" ).matches; // -- token-derived ink: nothing paints until the first successful read -- let fg = ""; let mu = ""; let ready = false; const derive = () => { const cs = getComputedStyle(document.documentElement); const nfg = cs.getPropertyValue("--foreground").trim(); const nmu = cs.getPropertyValue("--ns-muted").trim(); if (nfg) fg = nfg; if (nmu) mu = nmu; ready = fg.length > 0 && mu.length > 0; }; derive(); let w = 0; let h = 0; let dpr = 1; let visible = true; let raf = 0; let last = 0; let scrollX = 0; // world-space offset of the left edge of the visible band let speedMult = 1; // current speed multiplier, eased toward hoverTarget let hoverTarget = 1; const draw = () => { if (!ready || w <= 0 || h <= 0) return; ctx.setTransform(dpr, 0, 0, dpr, 0, 0); ctx.clearRect(0, 0, w, h); const midY = h / 2; const amp = PEAK_RATIO * h; // zero-line reference: a subordinate --ns-muted hairline, never a // --border stroke (--border is a separator token, ~1.1:1 contrast in // light theme, and would make the trace-vs-baseline read fail exactly // where the spec demands separation). ctx.strokeStyle = mu; ctx.globalAlpha = 0.35; ctx.lineWidth = 1; ctx.beginPath(); const zy = Math.round(midY) + 0.5; ctx.moveTo(0, zy); ctx.lineTo(w, zy); ctx.stroke(); ctx.globalAlpha = 1; // trace polyline, sampled at SAMPLE_PITCH from the continuous field — // no buffer, no wrap, no seam. ctx.strokeStyle = fg; ctx.lineWidth = 1.25; ctx.lineJoin = "round"; ctx.lineCap = "round"; ctx.beginPath(); let started = false; let stylusY = midY; const stylusScreenX = w * STYLUS_X_FRAC; for (let sx = 0; sx <= w; sx += SAMPLE_PITCH) { const worldX = scrollX + sx; const y = midY - traceHeight(worldX) * amp; if (!started) { ctx.moveTo(sx, y); started = true; } else { ctx.lineTo(sx, y); } if (sx <= stylusScreenX && sx + SAMPLE_PITCH > stylusScreenX) { stylusY = y; } } ctx.stroke(); // stylus: a fixed vertical stroke whose length matches the trace // height directly beneath it (the "drop-off" read), plus a tip dot. const stylusWorldX = scrollX + stylusScreenX; stylusY = midY - traceHeight(stylusWorldX) * amp; ctx.strokeStyle = fg; ctx.globalAlpha = 0.85; ctx.lineWidth = 1.25; ctx.beginPath(); ctx.moveTo(Math.round(stylusScreenX) + 0.5, midY); ctx.lineTo(Math.round(stylusScreenX) + 0.5, stylusY); ctx.stroke(); ctx.globalAlpha = 1; ctx.fillStyle = fg; ctx.beginPath(); ctx.arc(stylusScreenX, stylusY, 2, 0, Math.PI * 2); ctx.fill(); }; const loop = (now: number) => { raf = 0; if (!visible) return; const dt = Math.min(50, last === 0 ? 16.7 : now - last); last = now; const engageMs = hoverTarget < speedMult ? HOVER_ENGAGE_MS : HOVER_RELEASE_MS; speedMult += (hoverTarget - speedMult) * Math.min(1, dt / engageMs); scrollX += (SPEED_PX_S / 1000) * dt * speedMult; draw(); raf = requestAnimationFrame(loop); }; const wake = () => { if (raf === 0 && visible && !reduced) { last = 0; raf = requestAnimationFrame(loop); } }; // -- reduced motion: find the deterministic phase where the stylus sits // directly over the deepest valley in the visible band, freeze there, // never start rAF. Named FREEZE_PHASE = deep-valley-lock. ------------- const freezeAtDeepValley = () => { if (w <= 0) return; const stylusScreenX = w * STYLUS_X_FRAC; const searchSpan = WAVE_WL * 4; // several waviness periods, deterministic let bestOffset = 0; let bestVal = Infinity; for (let off = 0; off < searchSpan; off += 1) { const v = traceHeight(off + stylusScreenX); if (v < bestVal) { bestVal = v; bestOffset = off; } } scrollX = bestOffset; speedMult = 1; draw(); }; const resize = () => { const rect = root.getBoundingClientRect(); w = rect.width; h = rect.height; dpr = Math.min(2, window.devicePixelRatio || 1); canvas.width = Math.max(1, Math.round(w * dpr)); canvas.height = Math.max(1, Math.round(h * dpr)); canvas.style.width = `${w}px`; canvas.style.height = `${h}px`; if (reduced) { freezeAtDeepValley(); } else { draw(); } }; resize(); if (!reduced) wake(); const ro = new ResizeObserver(resize); ro.observe(root); const mo = new MutationObserver(() => { derive(); draw(); }); mo.observe(document.documentElement, { attributes: true, attributeFilter: ["class"], }); const io = new IntersectionObserver((entries) => { visible = entries[0]?.isIntersecting ?? true; if (visible) { last = 0; wake(); } }); io.observe(root); const onVisibility = () => { visible = !document.hidden && visible; if (!document.hidden) { last = 0; wake(); } }; document.addEventListener("visibilitychange", onVisibility); // -- hover: global speed multiplier only, never a per-x warp (per-x // warping would move different parts of one continuous curve at // different rates and tear it — the exact seam the spec forbids). ----- const onEnter = () => { if (reduced) return; hoverTarget = HOVER_SLOWDOWN; wake(); }; const onLeave = () => { if (reduced) return; hoverTarget = 1; wake(); }; root.addEventListener("pointerenter", onEnter); root.addEventListener("pointerleave", onLeave); document.fonts.ready.then(() => { derive(); if (reduced) freezeAtDeepValley(); else draw(); }); return () => { cancelAnimationFrame(raf); ro.disconnect(); mo.disconnect(); io.disconnect(); document.removeEventListener("visibilitychange", onVisibility); root.removeEventListener("pointerenter", onEnter); root.removeEventListener("pointerleave", onLeave); }; }, [height]); return (

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