-
+
Thinking mathematically {" "}
Working in AI
-
+
Mathematics is how I make sense of things. I want to know which
@@ -51,11 +56,12 @@ export function AboutContent() {
{selectedResearchProjects.map((project) => (
- {project.title}
- {researchSummaries[project.slug].map((paragraph, index) => (
- {paragraph}
- ))}
+ {project.title}
+ {researchSummaries[project.slug].map((paragraph, index) => (
+ {paragraph}
+ ))}
+
))}
@@ -87,7 +93,7 @@ export function AboutContent() {
-
diff --git a/website/app/components/clarinet-hero/ClarinetHero.module.css b/website/app/components/clarinet-hero/ClarinetHero.module.css
new file mode 100644
index 0000000..35a4487
--- /dev/null
+++ b/website/app/components/clarinet-hero/ClarinetHero.module.css
@@ -0,0 +1,127 @@
+.hero {
+ position: relative;
+ z-index: 1;
+ min-height: 100svh;
+ display: grid;
+ align-items: center;
+ background: var(--page);
+ padding: 48px 64px;
+}
+
+.frame {
+ position: relative;
+ display: grid;
+ grid-template-columns: 44% 56%;
+ align-items: center;
+ width: min(100%, 1312px);
+ margin: 0 auto;
+ min-height: min(760px, calc(100svh - 96px));
+ border-block: 1px solid var(--rule-strong);
+}
+
+.frame::before, .frame::after {
+ content: "";
+ position: absolute;
+ top: -48px;
+ bottom: -48px;
+ border-left: 1px solid var(--rule);
+ pointer-events: none;
+}
+.frame::before { left: 0; }
+.frame::after { right: 0; }
+
+.copy {
+ position: relative;
+ z-index: 2;
+ padding: 64px 0 80px 28px;
+ opacity: var(--hero-copy-opacity, 1);
+ transform: translate3d(0, var(--hero-copy-y, 0px), 0);
+}
+.copy h1 {
+ margin: 0;
+ font-family: var(--font-text);
+ font-size: clamp(3.5rem, 6.7vw, 6.5rem);
+ font-weight: 500;
+ letter-spacing: -.065em;
+ line-height: 1.02;
+}
+.copy h1 span { display: block; }
+.credentials {
+ display: grid;
+ grid-template-columns: repeat(2, minmax(0, 1fr));
+ gap: 24px;
+ width: min(100%, 330px);
+ margin: 36px 0 0;
+ padding: 18px 0 0;
+ border-top: 1px solid var(--rule-strong);
+ list-style: none;
+ font-family: var(--font-prose);
+ font-size: clamp(18px, 1.5vw, 22px);
+ line-height: 1.45;
+ color: var(--supporting-ink);
+}
+.credentials li { display: grid; gap: 3px; }
+.credentials strong {
+ color: var(--ink);
+ font-family: var(--font-text);
+ font-size: 16px;
+ font-weight: 500;
+ letter-spacing: -.01em;
+}
+.visual { position: relative; min-width: 0; padding: 26px 0; }
+.stage {
+ --canvas-scale: 1;
+ --canvas-left: 0;
+ position: relative;
+ width: 100%;
+ aspect-ratio: 1286 / 1223;
+ touch-action: pan-y;
+}
+.canvas, .fallback {
+ display: block;
+ position: absolute;
+ inset: 0;
+ left: calc(100% * var(--canvas-left));
+ width: calc(100% * var(--canvas-scale));
+ height: 100%;
+}
+.canvas { right: auto; bottom: auto; }
+.fallback { pointer-events: none; }
+.canvas[data-rendered="true"] + .fallback { display: none; }
+.markers {
+ position: absolute;
+ inset: 0;
+ pointer-events: none;
+ opacity: var(--hero-frame-opacity, 1);
+}
+.markers i { position: absolute; width: 2px; height: 11px; background: var(--accent); }
+.cornerTL { left: 5.1%; top: 4.6%; }
+.cornerTR { right: 5.1%; top: 4.6%; }
+.cornerBL { left: 5.1%; bottom: 4.9%; }
+.cornerBR { right: 5.1%; bottom: 4.9%; }
+@media (768px <= width < 1024px) {
+ .hero { padding: 32px; }
+ .frame { min-height: calc(100svh - 64px); grid-template-columns: 43% 57%; }
+ .copy { padding-left: 20px; }
+ .copy h1 { font-size: clamp(3rem, 6.5vw, 4.5rem); }
+}
+@media (width < 768px) {
+ .hero { min-height: 100svh; padding: 24px 20px; }
+ .frame { grid-template-columns: 1fr; min-height: 0; padding: 44px 0 22px; }
+ .frame::before, .frame::after { top: -24px; bottom: -24px; }
+ .copy { padding: 0 12px; }
+ .copy h1 { font-size: clamp(3.25rem, 13.5vw, 5.5rem); line-height: 1.03; }
+ .credentials { margin-top: 24px; padding-top: 14px; width: min(100%, 290px); font-size: 18px; }
+ .visual { width: min(100%, 480px); margin: 24px auto 0; padding: 0; }
+ /* Reframe the surrounding whitespace on phones, without changing the mother shape. */
+ .stage {
+ --canvas-scale: 1.3;
+ --canvas-left: -.25;
+ aspect-ratio: 1286 / 1590;
+ overflow: hidden;
+ }
+}
+@media (prefers-reduced-motion: reduce) {
+ .copy { opacity: 1 !important; transform: none !important; }
+ .markers { opacity: 1 !important; }
+}
diff --git a/website/app/components/clarinet-hero/ClarinetHero.tsx b/website/app/components/clarinet-hero/ClarinetHero.tsx
new file mode 100644
index 0000000..1a16323
--- /dev/null
+++ b/website/app/components/clarinet-hero/ClarinetHero.tsx
@@ -0,0 +1,78 @@
+"use client";
+
+import { useEffect, useRef } from "react";
+import { ARC, BANDS, BEAMED_NOTE, BELL_OPENING, BELL_RIM, BODY, DETAILS, NODE, NOTE, PADS, PAD_SHADOWS, RINGS, RODS, TIP_OPENING, TRAILS, VIEW_HEIGHT, VIEW_WIDTH, cubicPoint } from "./shape";
+import { mountClarinet } from "./renderer";
+import styles from "./ClarinetHero.module.css";
+
+export function ClarinetHero() {
+ const heroRef = useRef
(null);
+ const canvasRef = useRef(null);
+
+ useEffect(() => {
+ if (!canvasRef.current || !heroRef.current) return;
+ const controller = mountClarinet(canvasRef.current, heroRef.current);
+ return () => controller.destroy();
+ }, []);
+
+ return (
+
+
+
+
Theodore {" "}Ouyang
+
+ Duke {" "}alumnus Sequoia {" "}Fellow
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ );
+}
diff --git a/website/app/components/clarinet-hero/alignment.ts b/website/app/components/clarinet-hero/alignment.ts
new file mode 100644
index 0000000..6696b99
--- /dev/null
+++ b/website/app/components/clarinet-hero/alignment.ts
@@ -0,0 +1,45 @@
+// The scene keeps the same 1286 × 1223 model; layout remains owned by its stage.
+const HEIGHT_PER_WIDTH = 1223 / 1286;
+
+/**
+ * Match the CSS box to its integer backing store and align its viewport origin.
+ * Observe the stage, not this canvas: inline rounding must never become the
+ * source of the next responsive measurement. Backing-store allocation stays
+ * with the renderer, so calling this on scroll cannot clear the bitmap.
+ */
+export function alignCanvas(canvas: HTMLCanvasElement) {
+ const actualDpr = typeof devicePixelRatio === "number" && Number.isFinite(devicePixelRatio) && devicePixelRatio > 0
+ ? devicePixelRatio : 1;
+ const dpr = Math.min(actualDpr, 3);
+ const stage = canvas.parentElement;
+ const rect = (stage ?? canvas).getBoundingClientRect();
+ const stageStyle = stage ? getComputedStyle(stage) : null;
+ const parsedScale = Number.parseFloat(stageStyle?.getPropertyValue("--canvas-scale") ?? "");
+ const parsedLeft = Number.parseFloat(stageStyle?.getPropertyValue("--canvas-left") ?? "");
+ const scale = Number.isFinite(parsedScale) && parsedScale > 0 ? parsedScale : 1;
+ const leftFraction = Number.isFinite(parsedLeft) ? parsedLeft : 0;
+ const rawWidth = Math.max(0, rect.width * scale);
+ const width = Math.round(rawWidth * dpr) / dpr;
+ const height = Math.round(rawWidth * HEIGHT_PER_WIDTH * dpr) / dpr;
+
+ function write(property: "width" | "height" | "left" | "top", value: number) {
+ if (!canvas.style) return;
+ // CSSOM may round its serialized decimals. Avoid repeating equivalent
+ // writes, while keeping the tolerance well below one device pixel.
+ const current = Number.parseFloat(canvas.style[property]);
+ if (Number.isFinite(current) && Math.abs(current - value) < .001) return;
+ canvas.style[property] = `${value}px`;
+ }
+
+ write("width", width);
+ write("height", height);
+ if (stage) {
+ const rawLeft = rect.width * leftFraction;
+ const viewportLeft = rect.left + rawLeft;
+ const snappedLeft = Math.round(viewportLeft * actualDpr) / actualDpr;
+ const snappedTop = Math.round(rect.top * actualDpr) / actualDpr;
+ write("left", rawLeft + snappedLeft - viewportLeft);
+ write("top", snappedTop - rect.top);
+ }
+ return { width, height, dpr };
+}
diff --git a/website/app/components/clarinet-hero/physics.ts b/website/app/components/clarinet-hero/physics.ts
new file mode 100644
index 0000000..8bec5c8
--- /dev/null
+++ b/website/app/components/clarinet-hero/physics.ts
@@ -0,0 +1,163 @@
+/** All positions and velocities use CSS px, independently of the canvas DPR. */
+export interface Particle {
+ homeX: number;
+ homeY: number;
+ x: number;
+ y: number;
+ /** Previous fixed-step position, used only to interpolate RAF rendering. */
+ previousX?: number;
+ previousY?: number;
+ vx: number;
+ vy: number;
+ mobility: number;
+ /** Already scaled to the current stage's CSS px. */
+ maxOffset: number;
+ /** Entry delay in active animation seconds, never wall-clock time. */
+ delay: number;
+}
+
+export type MotionState = "entering" | "ready" | "static";
+export type Pointer = { x: number; y: number } | null;
+
+export const STEP_SECONDS = 1 / 60;
+const MAX_STEPS_PER_FRAME = 5;
+
+/** Reproducible entry positions and sampling; never call this during drawing. */
+export function seededRandom(seed: number): () => number {
+ let state = seed >>> 0;
+ return () => {
+ state = (state + 0x6d2b79f5) >>> 0;
+ let value = Math.imul(state ^ (state >>> 15), state | 1);
+ value ^= value + Math.imul(value ^ (value >>> 7), value | 61);
+ return ((value ^ (value >>> 14)) >>> 0) / 4294967296;
+ };
+}
+
+/**
+ * Preserve the displayed position before clearing the clock's interpolation.
+ * The simulation position and velocity stay untouched, so suspension neither
+ * injects a force nor loses the spring's momentum.
+ */
+export function freezeInterpolation(particles: Particle[], interpolation: number): void {
+ const alpha = Math.max(0, Math.min(1, interpolation));
+ for (const particle of particles) {
+ const previousX = particle.previousX ?? particle.x;
+ const previousY = particle.previousY ?? particle.y;
+ particle.previousX = previousX + (particle.x - previousX) * alpha;
+ particle.previousY = previousY + (particle.y - previousY) * alpha;
+ }
+}
+
+/** One fixed-60-Hz spring update. Do not multiply its constants by dt. */
+export function stepParticles(
+ particles: Particle[],
+ pointer: Pointer,
+ scale: number,
+ state: MotionState,
+ animationTime: number,
+): void {
+ const radius = 42 * scale;
+
+ for (const particle of particles) {
+ particle.previousX = particle.x;
+ particle.previousY = particle.y;
+ if (state === "static") {
+ particle.x = particle.homeX;
+ particle.y = particle.homeY;
+ particle.previousX = particle.homeX;
+ particle.previousY = particle.homeY;
+ particle.vx = 0;
+ particle.vy = 0;
+ continue;
+ }
+ if (state === "entering" && animationTime < particle.delay) continue;
+
+ particle.vx += (particle.homeX - particle.x) * 0.05;
+ particle.vy += (particle.homeY - particle.y) * 0.05;
+
+ if (state === "ready" && pointer) {
+ const dx = particle.x - pointer.x;
+ const dy = particle.y - pointer.y;
+ const distance = Math.hypot(dx, dy);
+ if (distance > 0.001 && distance < radius) {
+ const push = (1 - distance / radius) * 2.2 * scale * particle.mobility;
+ particle.vx += (dx / distance) * push;
+ particle.vy += (dy / distance) * push;
+ }
+ }
+
+ particle.vx *= 0.8;
+ particle.vy *= 0.8;
+ particle.x += particle.vx;
+ particle.y += particle.vy;
+
+ // An entering particle must be free to travel in from the stage's perimeter.
+ if (state === "ready") {
+ const dx = particle.x - particle.homeX;
+ const dy = particle.y - particle.homeY;
+ const distance = Math.hypot(dx, dy);
+ if (distance > particle.maxOffset && distance > 0) {
+ const nx = dx / distance;
+ const ny = dy / distance;
+ particle.x = particle.homeX + nx * particle.maxOffset;
+ particle.y = particle.homeY + ny * particle.maxOffset;
+ // Remove only outward velocity; preserve tangent motion and recovery.
+ const outwardVelocity = particle.vx * nx + particle.vy * ny;
+ if (outwardVelocity > 0) {
+ particle.vx -= nx * outwardVelocity;
+ particle.vy -= ny * outwardVelocity;
+ }
+ }
+ }
+ }
+}
+
+/** The caller owns RAF, visibility and disposal; this clock only advances while called. */
+export function createClock() {
+ let previousTime: number | null = null;
+ let accumulator = 0;
+ let totalSteps = 0;
+ // Continuous active time includes fractional steps discarded by suspension.
+ // Keeping it independently prevents reset from rewinding ambient motion.
+ let displayTime = 0;
+
+ return {
+ get animationTime() {
+ return totalSteps * STEP_SECONDS;
+ },
+ get interpolation() {
+ return Math.min(1, accumulator / STEP_SECONDS);
+ },
+ get displayTime() {
+ return displayTime;
+ },
+ /** Freeze particle interpolation first if suspending a visible moving field. */
+ reset() {
+ previousTime = null;
+ accumulator = 0;
+ },
+ advance(nowMs: number, simulate: (animationTime: number) => void) {
+ if (previousTime === null) previousTime = nowMs;
+ const elapsed = Math.max(0, (nowMs - previousTime) / 1000);
+ previousTime = nowMs;
+ const activeElapsed = Math.min(elapsed, STEP_SECONDS * MAX_STEPS_PER_FRAME);
+ accumulator += activeElapsed;
+ displayTime += activeElapsed;
+
+ let steps = 0;
+ // Tolerance prevents equivalent 60/120/144 Hz timestamp sequences losing a step.
+ while (accumulator + 1e-10 >= STEP_SECONDS && steps < MAX_STEPS_PER_FRAME) {
+ totalSteps += 1;
+ simulate(totalSteps * STEP_SECONDS);
+ accumulator = Math.max(0, accumulator - STEP_SECONDS);
+ steps += 1;
+ }
+ return {
+ steps,
+ animationTime: totalSteps * STEP_SECONDS,
+ interpolation: Math.min(1, accumulator / STEP_SECONDS),
+ displayTime,
+ };
+ },
+ };
+}
diff --git a/website/app/components/clarinet-hero/pixels.ts b/website/app/components/clarinet-hero/pixels.ts
new file mode 100644
index 0000000..1061ec7
--- /dev/null
+++ b/website/app/components/clarinet-hero/pixels.ts
@@ -0,0 +1,15 @@
+/** Whole-device-pixel footprints; moving dots use coverage, never a blur filter. */
+export function drawPixel(target: CanvasRenderingContext2D, x: number, y: number, size: number, dpr: number, snap = true) {
+ const pixels = Math.max(1, Math.round(size * dpr));
+ const left = x * dpr - pixels / 2;
+ const top = y * dpr - pixels / 2;
+ target.fillRect((snap ? Math.round(left) : left) / dpr, (snap ? Math.round(top) : top) / dpr, pixels / dpr, pixels / dpr);
+}
+
+/** Copy equal-sized backing stores without a second CSS-size resampling pass. */
+export function blit(target: CanvasRenderingContext2D, source: HTMLCanvasElement) {
+ target.save();
+ target.setTransform(1, 0, 0, 1, 0, 0);
+ target.drawImage(source, 0, 0);
+ target.restore();
+}
diff --git a/website/app/components/clarinet-hero/renderer.ts b/website/app/components/clarinet-hero/renderer.ts
new file mode 100644
index 0000000..ffef0af
--- /dev/null
+++ b/website/app/components/clarinet-hero/renderer.ts
@@ -0,0 +1,324 @@
+import { createClock, freezeInterpolation, seededRandom, stepParticles } from "./physics";
+import type { MotionState, Particle, Pointer } from "./physics";
+import { BEAMED_NOTE, NODE, NOTE, TRAILS, VIEW_WIDTH, cubicPoint } from "./shape";
+import { sampleClarinet } from "./sampling";
+import type { SampleDot } from "./sampling";
+import { blit, drawPixel } from "./pixels";
+import { alignCanvas } from "./alignment";
+
+type DotParticle = Particle & SampleDot & { exit: number; driftX: number; driftY: number };
+const BLUE = "#2200ff";
+const clamp = (n: number) => Math.max(0, Math.min(1, n));
+const smooth = (n: number) => { const t = clamp(n); return t * t * (3 - 2 * t); };
+
+export function mountClarinet(canvas: HTMLCanvasElement, hero?: HTMLElement) {
+ const context = canvas.getContext("2d");
+ if (!context) return { destroy() {} };
+ const ctx = context;
+ const stableCanvas = document.createElement("canvas");
+ const stable = stableCanvas.getContext("2d")!;
+ const clock = createClock();
+ const motionQuery = matchMedia("(prefers-reduced-motion: reduce)");
+ const hoverQuery = matchMedia("(hover: hover) and (pointer: fine)");
+ const copy = hero?.querySelector("[data-hero-copy]");
+ const markers = hero?.querySelector("[data-hero-markers]");
+ let particles: DotParticle[] = [];
+ let activeParticles: DotParticle[] = [];
+ const activeSet = new Set();
+ const cells = new Map();
+ const notes = [new Path2D(NOTE), new Path2D(BEAMED_NOTE)];
+ const node = new Path2D();
+ node.ellipse(0, 0, NODE.rx, NODE.ry, NODE.rotation, 0, Math.PI * 2);
+ let width = 0;
+ let height = 0;
+ let dpr = 1;
+ let cellSize = 64;
+ let palette = ["#101114", "#686b68", BLUE];
+ let frame = 0;
+ let destroyed = false;
+ let fontsReady = false;
+ let inView = true;
+ let dirty = true;
+ let built = false;
+ let bounds = canvas.getBoundingClientRect();
+ let pendingWidth = bounds.width;
+ let pointer: Pointer = null;
+ let pointerDirty = false;
+ let state: MotionState = motionQuery.matches ? "static" : "entering";
+ let heroTop = 0;
+ let heroHeight = 1;
+ let scrollProgress = -1;
+ // Next replaces NODE_ENV at build time, removing diagnostics from production.
+ const diagnostics = process.env.NODE_ENV === "development" ? {
+ renderTotal: 0,
+ renderCount: 0,
+ frameSamples: 0,
+ previousFrame: null as number | null,
+ frameIntervals: [] as number[],
+ renderCosts: [] as number[],
+ } : null;
+ let paintedColor = -1;
+
+ function paint(target: CanvasRenderingContext2D, p: SampleDot, x: number, y: number, snap = true) {
+ if (target !== ctx || paintedColor !== p.color) {
+ target.fillStyle = palette[p.color];
+ if (target === ctx) paintedColor = p.color;
+ }
+ drawPixel(target, x, y, p.size, dpr, snap);
+ }
+ function readLayout() {
+ alignCanvas(canvas);
+ bounds = canvas.getBoundingClientRect();
+ if (hero) {
+ const rect = hero.getBoundingClientRect();
+ heroTop = rect.top + window.scrollY; heroHeight = rect.height;
+ }
+ }
+ function updateScroll() {
+ const next = hero && !motionQuery.matches ? clamp((window.scrollY - heroTop) / (heroHeight * .85)) : 0;
+ if (next === scrollProgress) return;
+ scrollProgress = next;
+ if (copy) {
+ copy.style.opacity = String(1 - smooth(next / .85));
+ copy.style.transform = `translate3d(0, ${-24 * next}px, 0)`;
+ }
+ if (markers) markers.style.opacity = String(1 - smooth(next));
+ canvas.dataset.scrollProgress = next.toFixed(3);
+ }
+ function build() {
+ if (!fontsReady || pendingWidth <= 0) return;
+ ({ width, height, dpr } = alignCanvas(canvas));
+ cellSize = Math.round(Math.max(32, 56 * width / 600) * dpr) / dpr;
+ palette = [getComputedStyle(canvas).color, "#686b68", BLUE];
+ for (const layer of [canvas, stableCanvas]) {
+ layer.width = Math.round(width * dpr); layer.height = Math.round(height * dpr);
+ }
+ for (const target of [ctx, stable]) {
+ target.setTransform(dpr, 0, 0, dpr, 0, 0); target.imageSmoothingEnabled = false;
+ }
+ const entering = !built && !motionQuery.matches;
+ state = motionQuery.matches ? "static" : entering ? "entering" : "ready";
+ const random = seededRandom(130);
+ particles = sampleClarinet(width, dpr).map(dot => {
+ const dotPixels = Math.max(1, Math.round(dot.size * dpr));
+ // Canonical centers include half pixels for odd footprints: switching from
+ // the static cache to continuous motion cannot shift an untouched dot.
+ const homeX = (Math.round(dot.x * dpr - dotPixels / 2) + dotPixels / 2) / dpr;
+ const homeY = (Math.round(dot.y * dpr - dotPixels / 2) + dotPixels / 2) / dpr;
+ const angle = random() * Math.PI * 2;
+ const radius = width * (.28 + random() * .22);
+ const x = entering ? width * .6 + Math.cos(angle) * radius : homeX;
+ const y = entering ? height * .5 + Math.sin(angle) * radius : homeY;
+ return { ...dot, homeX, homeY, x, y, previousX: x, previousY: y,
+ vx: 0, vy: 0, delay: clock.animationTime + random() * .36,
+ exit: random() * .3, driftX: 16 + random() * 52, driftY: -25 - random() * 90 };
+ });
+ cells.clear(); activeSet.clear(); activeParticles = [];
+ for (const p of particles) {
+ const key = `${Math.floor(p.homeX / cellSize)},${Math.floor(p.homeY / cellSize)}`;
+ const cell = cells.get(key);
+ if (cell) cell.push(p); else cells.set(key, [p]);
+ paint(stable, p, p.homeX, p.homeY);
+ }
+ canvas.dataset.particleCount = String(particles.length);
+ canvas.dataset.renderMode = "particles";
+ canvas.dataset.pixelRatio = String(dpr);
+ canvas.dataset.maxBodyOffset = String(5 * width / 600);
+ canvas.dataset.maxBellOffset = String(2.25 * width / 600);
+ canvas.dataset.noteCount = "4";
+ built = true; dirty = false;
+ readLayout(); updateScroll(); clock.reset();
+ }
+ function activateNearPointer() {
+ if (!pointer || !pointerDirty || state !== "ready") return;
+ pointerDirty = false;
+ const radius = 54 * width / 600;
+ const x0 = Math.floor((pointer.x - radius) / cellSize); const x1 = Math.floor((pointer.x + radius) / cellSize);
+ const y0 = Math.floor((pointer.y - radius) / cellSize); const y1 = Math.floor((pointer.y + radius) / cellSize);
+ for (let y = y0; y <= y1; y++) for (let x = x0; x <= x1; x++) {
+ const cell = cells.get(`${x},${y}`);
+ if (!cell) continue;
+ for (const p of cell) {
+ if (activeSet.has(p) || Math.hypot(p.homeX - pointer.x, p.homeY - pointer.y) > radius) continue;
+ activeSet.add(p); activeParticles.push(p);
+ }
+ }
+ }
+ function interpolated(p: DotParticle, axis: "X" | "Y") {
+ const current = axis === "X" ? p.x : p.y;
+ const previous = (axis === "X" ? p.previousX : p.previousY) ?? current;
+ return previous + (current - previous) * clock.interpolation;
+ }
+ function settleActive() {
+ let keep = 0;
+ const radius = 54 * width / 600;
+ for (const p of activeParticles) {
+ const nearPointer = pointer && Math.hypot(p.homeX - pointer.x, p.homeY - pointer.y) <= radius;
+ const movement = Math.abs(p.x - p.homeX) + Math.abs(p.y - p.homeY) + Math.abs(p.vx) + Math.abs(p.vy);
+ if (nearPointer || movement > .015) activeParticles[keep++] = p;
+ else {
+ p.x = p.previousX = p.homeX; p.y = p.previousY = p.homeY; p.vx = p.vy = 0;
+ activeSet.delete(p);
+ }
+ }
+ activeParticles.length = keep;
+ }
+ function drawBody(breath: number) {
+ if (scrollProgress > 0 || state === "entering") {
+ for (const p of particles) {
+ const dissolve = smooth((scrollProgress - p.exit) / (1 - p.exit));
+ ctx.globalAlpha = breath * (1 - dissolve);
+ paint(ctx, p, interpolated(p, "X") + p.driftX * dissolve, interpolated(p, "Y") + p.driftY * dissolve, false);
+ }
+ return;
+ }
+ ctx.globalAlpha = breath;
+ blit(ctx, stableCanvas);
+ if (!activeParticles.length) return;
+ // Repaint only cells touched by the pointer or still springing home.
+ let left = width; let top = height; let right = 0; let bottom = 0;
+ for (const p of activeParticles) {
+ const pad = p.maxOffset + p.size + 2;
+ left = Math.min(left, p.homeX - pad); top = Math.min(top, p.homeY - pad);
+ right = Math.max(right, p.homeX + pad); bottom = Math.max(bottom, p.homeY + pad);
+ }
+ const x0 = Math.floor(left / cellSize); const y0 = Math.floor(top / cellSize);
+ const x1 = Math.floor(right / cellSize); const y1 = Math.floor(bottom / cellSize);
+ left = x0 * cellSize; top = y0 * cellSize;
+ right = (x1 + 1) * cellSize; bottom = (y1 + 1) * cellSize;
+ ctx.clearRect(left, top, right - left, bottom - top);
+ ctx.save(); ctx.beginPath(); ctx.rect(left, top, right - left, bottom - top); ctx.clip();
+ for (let y = y0 - 1; y <= y1 + 1; y++) for (let x = x0 - 1; x <= x1 + 1; x++) {
+ const cell = cells.get(`${x},${y}`);
+ if (!cell) continue;
+ for (const p of cell) {
+ const moving = activeSet.has(p);
+ paint(ctx, p, moving ? interpolated(p, "X") : p.homeX, moving ? interpolated(p, "Y") : p.homeY, !moving);
+ }
+ }
+ ctx.restore();
+ }
+ function drawSymbol(path: Path2D, x: number, y: number, angle: number, scale: number, color: string) {
+ ctx.save();
+ ctx.translate(x, y); ctx.rotate(angle); ctx.scale(scale, scale);
+ ctx.fillStyle = color;
+ ctx.fill(path);
+ ctx.restore();
+ }
+ function draw() {
+ const s = width / VIEW_WIDTH;
+ const fade = 1 - smooth(scrollProgress);
+ const time = state === "static" ? 0 : clock.displayTime;
+ const breath = state === "static" ? 1 : .97 + .03 * Math.sin(time * Math.PI * 2 / 7.8);
+ paintedColor = -1;
+ ctx.clearRect(0, 0, width, height); drawBody(breath);
+ ctx.globalAlpha = fade;
+ drawSymbol(node, NODE.x * s, NODE.y * s, 0, s * (state === "static" ? 1 : 1 + .08 * Math.sin(time * Math.PI * 2 / 6.4)), BLUE);
+ for (let i = 0; i < 4; i++) {
+ const point = cubicPoint(TRAILS[0], .12 + i * .235);
+ const phase = time * Math.PI * 2 / (6.4 + i * 1.15) + i * 1.7;
+ const horizontal = state === "static" ? 0 : Math.sin(phase) * (7 + i * 1.6);
+ const vertical = state === "static" ? 0 : Math.cos(phase) * (13 + i * 2) + Math.sin(phase * 2) * 3;
+ ctx.globalAlpha = fade * (state === "static" ? 1 : .86 + .14 * Math.sin(phase - .8));
+ drawSymbol(notes[i === 1 ? 1 : 0], point.x * s + 15 + horizontal, point.y * s + vertical,
+ state === "static" ? 0 : Math.sin(phase + .6) * .12,
+ Math.max(.9, s * 1.85) * (state === "static" ? 1 : .98 + .065 * Math.sin(phase + 1.1)), i % 2 ? palette[0] : BLUE);
+ }
+ ctx.globalAlpha = 1;
+ if (canvas.dataset.rendered !== "true") canvas.dataset.rendered = "true";
+ if (canvas.dataset.state !== state) canvas.dataset.state = state;
+ }
+ function active() { return !destroyed && fontsReady && inView && !document.hidden; }
+ function schedule() { if (active() && !frame) frame = requestAnimationFrame(onFrame); }
+ function stop() {
+ freezeInterpolation(particles, clock.interpolation);
+ cancelAnimationFrame(frame); frame = 0; clock.reset();
+ if (process.env.NODE_ENV === "development" && diagnostics) diagnostics.previousFrame = null;
+ }
+ function onFrame(now: number) {
+ frame = 0;
+ if (!active()) return;
+ if (dirty) build();
+ if (!built) return;
+ const start = process.env.NODE_ENV === "development" ? performance.now() : 0;
+ updateScroll(); activateNearPointer();
+ if (state !== "static") {
+ clock.advance(now, animationTime => {
+ if (state === "entering") stepParticles(particles, null, width / 600, state, animationTime);
+ else if (activeParticles.length) stepParticles(activeParticles, pointer, width / 600, "ready", animationTime);
+ });
+ if (state === "entering" && clock.animationTime > .4 && !particles.some(p =>
+ Math.abs(p.x - p.homeX) + Math.abs(p.y - p.homeY) + Math.abs(p.vx) + Math.abs(p.vy) > .02)) {
+ stepParticles(particles, null, width / 600, "static", clock.animationTime); state = "ready";
+ }
+ if (state === "ready") settleActive();
+ }
+ draw();
+ if (process.env.NODE_ENV === "development" && diagnostics) {
+ const renderCost = performance.now() - start;
+ diagnostics.renderTotal += renderCost;
+ diagnostics.renderCosts[diagnostics.renderCount++ % 120] = renderCost;
+ if (diagnostics.previousFrame !== null && now > diagnostics.previousFrame) {
+ diagnostics.frameIntervals[diagnostics.frameSamples++ % 120] = now - diagnostics.previousFrame;
+ }
+ diagnostics.previousFrame = now;
+ if (diagnostics.renderCount % 30 === 0) {
+ canvas.dataset.renderMs = (diagnostics.renderTotal / diagnostics.renderCount).toFixed(2);
+ canvas.dataset.motionTime = clock.displayTime.toFixed(2);
+ canvas.dataset.activeParticles = String(activeParticles.length);
+ const intervals = [...diagnostics.frameIntervals].sort((a, b) => a - b);
+ if (intervals.length) canvas.dataset.frameP95 = intervals[Math.min(intervals.length - 1, Math.floor(intervals.length * .95))].toFixed(2);
+ const costs = [...diagnostics.renderCosts].sort((a, b) => a - b);
+ canvas.dataset.renderP95 = costs[Math.min(costs.length - 1, Math.floor(costs.length * .95))].toFixed(2);
+ }
+ }
+ if (state !== "static") schedule(); else clock.reset();
+ }
+ function updateMode() {
+ pointer = null; activeSet.clear(); activeParticles = [];
+ state = motionQuery.matches ? "static" : "ready";
+ stepParticles(particles, null, width / 600, "static", clock.animationTime); stop(); schedule();
+ }
+ function onPointer(event: PointerEvent) {
+ if (event.pointerType === "touch" || !hoverQuery.matches || state === "static") return;
+ if (state === "entering") {
+ stepParticles(particles, null, width / 600, "static", clock.animationTime); state = "ready";
+ }
+ pointer = { x: event.clientX - bounds.left, y: event.clientY - bounds.top }; pointerDirty = true; schedule();
+ }
+ function clearPointer() { pointer = null; pointerDirty = false; schedule(); }
+ function onScroll() { alignCanvas(canvas); bounds = canvas.getBoundingClientRect(); clearPointer(); }
+ function onVisibility() { stop(); pointer = null; if (!document.hidden) schedule(); }
+ const resizeObserver = new ResizeObserver(entries => {
+ pendingWidth = canvas.parentElement ? alignCanvas(canvas).width : entries[0].contentRect.width;
+ if (built && Math.abs(pendingWidth - width) < .1) return;
+ dirty = true; schedule();
+ });
+ const intersectionObserver = new IntersectionObserver(entries => {
+ inView = entries[0].isIntersecting; stop(); pointer = null; schedule();
+ });
+ function onWindowResize() {
+ readLayout(); pendingWidth = bounds.width;
+ if (built && Math.abs(pendingWidth - width) < .1 && dpr === Math.min(devicePixelRatio || 1, 3)) { schedule(); return; }
+ dirty = true; schedule();
+ }
+ resizeObserver.observe(canvas.parentElement ?? canvas); intersectionObserver.observe(hero ?? canvas);
+ canvas.addEventListener("pointermove", onPointer, { passive: true });
+ canvas.addEventListener("pointerleave", clearPointer, { passive: true });
+ canvas.addEventListener("pointercancel", clearPointer, { passive: true });
+ document.addEventListener("visibilitychange", onVisibility);
+ window.addEventListener("resize", onWindowResize, { passive: true });
+ window.addEventListener("scroll", onScroll, { passive: true });
+ motionQuery.addEventListener("change", updateMode); hoverQuery.addEventListener("change", clearPointer);
+ document.fonts.ready.then(() => { if (!destroyed) { fontsReady = true; schedule(); } });
+ return {
+ destroy() {
+ destroyed = true; stop(); resizeObserver.disconnect(); intersectionObserver.disconnect();
+ canvas.removeEventListener("pointermove", onPointer); canvas.removeEventListener("pointerleave", clearPointer);
+ canvas.removeEventListener("pointercancel", clearPointer); document.removeEventListener("visibilitychange", onVisibility);
+ window.removeEventListener("resize", onWindowResize); window.removeEventListener("scroll", onScroll);
+ motionQuery.removeEventListener("change", updateMode); hoverQuery.removeEventListener("change", clearPointer);
+ particles = []; activeParticles = []; activeSet.clear(); cells.clear();
+ },
+ };
+}
diff --git a/website/app/components/clarinet-hero/sampling.ts b/website/app/components/clarinet-hero/sampling.ts
new file mode 100644
index 0000000..9a2aa4d
--- /dev/null
+++ b/website/app/components/clarinet-hero/sampling.ts
@@ -0,0 +1,226 @@
+import { seededRandom } from "./physics";
+import { ARC, TRAILS, VIEW_HEIGHT, VIEW_WIDTH, cubicPoint, makeGeometry } from "./shape";
+
+export interface SampleDot {
+ x: number;
+ y: number;
+ size: number;
+ /** 0: ink, 1: silver gray, 2: blue. Every sample is an opaque point. */
+ color: number;
+ kind: "body" | "detail" | "arc" | "trail";
+ mobility: number;
+ maxOffset: number;
+}
+
+type Footprint = { left: number; top: number; right: number; bottom: number };
+
+/** Keep fittings first; nearby body dots must leave one untouched device pixel. */
+function separateMaterials(dots: SampleDot[], dpr: number): SampleDot[] {
+ const bucketSize = Math.max(4, Math.ceil(2 * dpr));
+ const details = new Map();
+ function footprint(dot: SampleDot): Footprint {
+ const size = Math.max(1, Math.round(dot.size * dpr));
+ const left = Math.round(dot.x * dpr - size / 2);
+ const top = Math.round(dot.y * dpr - size / 2);
+ return { left, top, right: left + size, bottom: top + size };
+ }
+ for (const dot of dots) {
+ if (dot.kind !== "detail") continue;
+ const box = footprint(dot);
+ const x0 = Math.floor(box.left / bucketSize);
+ const x1 = Math.floor((box.right - 1) / bucketSize);
+ const y0 = Math.floor(box.top / bucketSize);
+ const y1 = Math.floor((box.bottom - 1) / bucketSize);
+ for (let y = y0; y <= y1; y++) for (let x = x0; x <= x1; x++) {
+ const key = `${x},${y}`;
+ const bucket = details.get(key);
+ if (bucket) bucket.push(box); else details.set(key, [box]);
+ }
+ }
+ return dots.filter(dot => {
+ if (dot.kind !== "body") return true;
+ const box = footprint(dot);
+ const x0 = Math.floor((box.left - 1) / bucketSize);
+ const x1 = Math.floor(box.right / bucketSize);
+ const y0 = Math.floor((box.top - 1) / bucketSize);
+ const y1 = Math.floor(box.bottom / bucketSize);
+ for (let y = y0; y <= y1; y++) for (let x = x0; x <= x1; x++) {
+ const bucket = details.get(`${x},${y}`);
+ if (!bucket) continue;
+ for (const detail of bucket) {
+ if (box.left < detail.right + 1 && box.right > detail.left - 1
+ && box.top < detail.bottom + 1 && box.bottom > detail.top - 1) return false;
+ }
+ }
+ return true;
+ });
+}
+
+/** Build-only masks describe material regions; none is used as a visible surface. */
+export function sampleClarinet(width: number, dpr: number): SampleDot[] {
+ if (!Number.isFinite(width) || width <= 0 || !Number.isFinite(dpr) || dpr <= 0) return [];
+ const height = width * VIEW_HEIGHT / VIEW_WIDTH;
+ const scale = width / VIEW_WIDTH;
+ const physicsScale = width / 600;
+ const pixelWidth = Math.max(1, Math.round(width * dpr));
+ const pixelHeight = Math.max(1, Math.round(height * dpr));
+ const canvases = Array.from({ length: 3 }, () => document.createElement("canvas"));
+ const result: SampleDot[] = [];
+ const random = seededRandom(130);
+
+ try {
+ const contexts = canvases.map(canvas => {
+ canvas.width = pixelWidth;
+ canvas.height = pixelHeight;
+ return canvas.getContext("2d", { willReadFrequently: true });
+ });
+ const [body, metal, outline] = contexts;
+ if (!body || !metal || !outline) return result;
+ const geometry = makeGeometry();
+ for (const context of [body, metal, outline]) {
+ context.setTransform(dpr * scale, 0, 0, dpr * scale, 0, 0);
+ context.fillStyle = "#fff";
+ context.strokeStyle = "#fff";
+ context.lineCap = "round";
+ context.lineJoin = "round";
+ }
+
+ // Alpha is a retention probability at the fringe, never a blurred dot opacity.
+ for (const [offset, alpha] of [[25, .035], [16, .055], [8, .08]]) {
+ body.save();
+ body.translate(-offset, 0);
+ body.globalAlpha = alpha;
+ body.fill(geometry.body);
+ body.restore();
+ }
+ body.fill(geometry.body);
+ // Red labels the bell cavity for denser black stippling.
+ body.fillStyle = "#ff0000";
+ body.fill(geometry.bellOpening);
+ body.globalCompositeOperation = "destination-out";
+ body.fill(geometry.negative);
+ body.globalCompositeOperation = "source-over";
+
+ const filledParts = [geometry.bands, geometry.pads, geometry.details, geometry.tip];
+ const annuli = [geometry.rings, geometry.bellRim];
+ for (const part of filledParts) metal.fill(part);
+ for (const part of annuli) metal.fill(part, "evenodd");
+ metal.lineWidth = 3.5;
+ metal.stroke(geometry.rods);
+
+ // Fine outlines and the restrained crescent beneath each side key.
+ outline.fill(geometry.padShadows);
+ outline.globalCompositeOperation = "destination-out";
+ outline.fill(geometry.pads);
+ outline.globalCompositeOperation = "source-over";
+ outline.lineWidth = .9 / scale;
+ for (const part of [...filledParts, ...annuli]) outline.stroke(part);
+ outline.lineWidth = Math.max(3.5, .9 / scale);
+ outline.stroke(geometry.rods);
+
+ // Clear the same fittings from the body. Evenodd annuli retain all six cores.
+ body.save();
+ body.setTransform(1, 0, 0, 1, 0, 0);
+ body.globalCompositeOperation = "destination-out";
+ body.drawImage(canvases[1], 0, 0);
+ body.drawImage(canvases[2], 0, 0);
+ body.restore();
+
+ const bodyPixels = body.getImageData(0, 0, pixelWidth, pixelHeight).data;
+ const metalPixels = metal.getImageData(0, 0, pixelWidth, pixelHeight).data;
+ const outlinePixels = outline.getImageData(0, 0, pixelWidth, pixelHeight).data;
+ function alphaAt(pixels: Uint8ClampedArray, x: number, y: number) {
+ if (x < 0 || y < 0 || x >= pixelWidth || y >= pixelHeight) return 0;
+ return pixels[(Math.floor(y) * pixelWidth + Math.floor(x)) * 4 + 3] / 255;
+ }
+ function coverage(pixels: Uint8ClampedArray, x: number, y: number, radius: number) {
+ return (alphaAt(pixels, x, y)
+ + alphaAt(pixels, x - radius, y) + alphaAt(pixels, x + radius, y)
+ + alphaAt(pixels, x, y - radius) + alphaAt(pixels, x, y + radius)) / 5;
+ }
+ function add(x: number, y: number, sizePixels: number, color: number, kind: SampleDot["kind"], edge = false) {
+ const bell = y / dpr > height * .72;
+ result.push({
+ x: Math.round(x) / dpr,
+ y: Math.round(y) / dpr,
+ size: sizePixels / dpr,
+ color,
+ kind,
+ mobility: edge ? .65 : bell ? .16 : .38,
+ maxOffset: (edge ? 10 : bell ? 2.25 : 5) * physicsScale,
+ });
+ }
+
+ const bodyPitch = Math.max(2, Math.round(2.2 * dpr));
+ const bodyGap = Math.max(1, Math.round(.7 * dpr));
+ const minX = Math.floor(pixelWidth * .43 / bodyPitch) * bodyPitch;
+ for (let y = bodyPitch / 2; y < pixelHeight * .9; y += bodyPitch) {
+ for (let x = minX + bodyPitch / 2; x < pixelWidth * .75; x += bodyPitch) {
+ const alpha = coverage(bodyPixels, x, y, bodyPitch * .22);
+ if (alpha < .015) continue;
+ const fringe = alpha < .55;
+ const refY = y / (dpr * scale);
+ const refX = x / (dpr * scale);
+ const axis = 879 - (refY - 295) * .2654;
+ const tone = Math.max(0, Math.min(1, (refX - axis + 42) / 84));
+ const index = (Math.floor(y) * pixelWidth + Math.floor(x)) * 4;
+ const cavity = bodyPixels[index + 3] > 128 && bodyPixels[index + 1] < 80;
+ const bell = refY > 945;
+ const retention = fringe ? alpha * 1.8 : cavity ? 1 : bell ? .96 : .58 + tone * .4;
+ if (random() > retention) continue;
+ const desired = cavity ? 1.7 : bell ? 1.5 + tone * .2 : 1 + tone * .7;
+ const size = Math.max(1, Math.min(bodyPitch - bodyGap, Math.round(desired * dpr)));
+ // Retain a clear material boundary instead of covering silver with ink dots.
+ if (alphaAt(metalPixels, x, y) > .2 || alphaAt(outlinePixels, x, y) > .3) continue;
+ add(x, y, size, 0, "body", fringe);
+ }
+ }
+
+ const detailPitch = Math.max(2, Math.round(1.65 * dpr));
+ const detailStart = Math.floor(pixelWidth * .45 / detailPitch) * detailPitch;
+ for (let y = detailPitch / 2; y < pixelHeight * .9; y += detailPitch) {
+ for (let x = detailStart + detailPitch / 2; x < pixelWidth * .75; x += detailPitch) {
+ const edge = coverage(outlinePixels, x, y, detailPitch * .3);
+ const fill = alphaAt(metalPixels, x, y);
+ if (edge < .16 && (fill < .55 || random() > .32)) continue;
+ const color = edge >= .16 ? 0 : 1;
+ const size = Math.max(1, Math.min(detailPitch - 1, Math.round((color === 0 ? 1.1 : .95) * dpr)));
+ add(x, y, size, color, "detail");
+ }
+ }
+
+ // The dotted arc has a full central crest and lighter ends.
+ // Spacing follows curve length in CSS pixels, rather than parametric steps.
+ let previous = cubicPoint(ARC, 0);
+ let distance = 0;
+ for (let step = 1; step <= 600; step++) {
+ const t = step / 600;
+ const point = cubicPoint(ARC, t);
+ distance += Math.hypot(point.x - previous.x, point.y - previous.y) * scale;
+ previous = point;
+ const emphasis = Math.sin(Math.PI * t) ** .65;
+ const arcScale = Math.min(1, width / 600);
+ const spacing = (3.4 + 4.6 * (1 - emphasis)) * Math.max(.85, arcScale);
+ if (distance < spacing) continue;
+ distance = 0;
+ const x = point.x * scale * dpr;
+ const y = point.y * scale * dpr;
+ if (alphaAt(bodyPixels, x, y) + alphaAt(metalPixels, x, y) > .5) continue;
+ add(x, y, Math.max(1, Math.round((1.15 + 1.05 * emphasis) * arcScale * dpr)), 2, "arc", true);
+ }
+ for (const curve of TRAILS) {
+ for (let t = .02; t < 1; t += .035 + t * .022) {
+ if (t > .6 && random() > 1 - (t - .6) * 1.6) continue;
+ const point = cubicPoint(curve, t);
+ add(point.x * scale * dpr, point.y * scale * dpr,
+ Math.max(1, Math.round(dpr)), 0, "trail", true);
+ }
+ }
+ return separateMaterials(result, dpr);
+ } finally {
+ for (const canvas of canvases) {
+ canvas.width = 1;
+ canvas.height = 1;
+ }
+ }
+}
diff --git a/website/app/components/clarinet-hero/shape.ts b/website/app/components/clarinet-hero/shape.ts
new file mode 100644
index 0000000..bec668b
--- /dev/null
+++ b/website/app/components/clarinet-hero/shape.ts
@@ -0,0 +1,102 @@
+// Hand-traced from the approved clarinet reference in 1286 × 1223 space.
+// Continuous geometry supplies the particle masks and SVG fallback.
+export const VIEW_WIDTH = 1286;
+export const VIEW_HEIGHT = 1223;
+
+function ellipse(x: number, y: number, rx: number, ry: number, rotation = 0) {
+ const k = 0.5522847498;
+ const c = Math.cos(rotation);
+ const s = Math.sin(rotation);
+ const p = (u: number, v: number) => `${(x + u * c - v * s).toFixed(3)} ${(y + u * s + v * c).toFixed(3)}`;
+ return `M${p(rx, 0)} C${p(rx, ry * k)} ${p(rx * k, ry)} ${p(0, ry)} C${p(-rx * k, ry)} ${p(-rx, ry * k)} ${p(-rx, 0)} C${p(-rx, -ry * k)} ${p(-rx * k, -ry)} ${p(0, -ry)} C${p(rx * k, -ry)} ${p(rx, -ry * k)} ${p(rx, 0)} Z`;
+}
+
+// Slender beak, rounded barrel, two straight joints and a restrained flared bell.
+export const BODY = "M945 103 C927 102 906 125 891 152 L880 176 L873 197 L865 227 C854 244 848 268 846 286 L841 296 L753 603 L750 616 L672 923 C666 941 659 959 648 979 C638 999 623 1022 607.28 1036.41 C604.79 1050.55 639.80 1068.55 685.485 1076.605 C731.17 1084.66 770.23 1079.73 772.72 1065.59 C775 1052 765 1028 758 1005 C749 978 750 958 754 940 L757 927 L827 624 L831 610 L901 302 L906 289 C914 271 918 249 916 237 L921 219 L929 193 L937 163 C940 144 943 119 945 103 Z";
+
+// Reflective mouthpiece face.
+export const TIP_OPENING = "M944 104 C928 105 918 119 910 136 C906 145 903 156 899 164 C916 165 929 153 935 136 C939 123 943 110 944 104 Z";
+export const BELL_OPENING = ellipse(690, 1051, 79, 20, Math.PI / 18);
+export const BELL_RIM = `${ellipse(690, 1051, 84, 26, Math.PI / 18)} ${BELL_OPENING}`;
+
+// Ring-key centers retain the tube's dark particle texture.
+export const HOLES = [
+ { x: 841, y: 389, rx: 10.5, ry: 12.5, rotation: .16 },
+ { x: 827, y: 450, rx: 10.5, ry: 12.5, rotation: .16 },
+ { x: 811, y: 511, rx: 10.5, ry: 12.5, rotation: .16 },
+ { x: 764, y: 690, rx: 10.5, ry: 12.5, rotation: .16 },
+ { x: 749, y: 755, rx: 10.5, ry: 12.5, rotation: .16 },
+ { x: 735, y: 818, rx: 10.5, ry: 12.5, rotation: .16 },
+] as const;
+
+// Closed annuli: fill with the evenodd rule, leaving the dark tube visible inside.
+export const RINGS = HOLES.map(hole =>
+ `${ellipse(hole.x, hole.y, 15.5, 17.5, hole.rotation)} ${ellipse(hole.x, hole.y, hole.rx, hole.ry, hole.rotation)}`,
+).join(" ");
+
+// Joint-band sampling regions follow the projected cylindrical surface.
+export const BANDS = [
+ "M881 171 C898 174 919 180 934 185 L931 194 C915 188 895 183 878 180 Z",
+ "M874 194 C891 196 912 203 927 208 L924 217 C909 211 890 204 871 203 Z",
+ "M865 225 C879 223 901 230 918 235 L916 245 C899 239 880 232 863 234 Z",
+ "M847 284 C865 283 890 290 905 296 L901 304 C887 299 864 291 845 293 Z",
+ "M751 605 C773 604 807 611 830 618 L827 627 C804 619 774 613 749 613 Z",
+ "M672 925 C696 918 730 925 755 936 L752 945 C731 934 696 928 671 934 Z",
+].join(" ");
+
+// Only the two prominent rods and short key connections shown in the reference.
+export const RODS = [
+ "M881 332 L824 570 M801 650 L748 887",
+ "M855 394 L866 397 M841 454 L852 457 M825 516 L837 518",
+ "M778 695 L790 698 M763 760 L775 763 M749 823 L762 826",
+ "M865 405 L880 409 M789 704 L809 707 M759 849 L775 852",
+ "M930 185 L940 190 M925 208 L934 214",
+].join(" ");
+
+const PAD_POSITIONS = [
+ { x: 887, y: 408, rx: 17, ry: 11.5 },
+ { x: 815, y: 703, rx: 17, ry: 12 },
+ { x: 780, y: 848, rx: 14, ry: 10 },
+] as const;
+export const PADS = PAD_POSITIONS.map(pad => ellipse(pad.x, pad.y, pad.rx, pad.ry, -.72)).join(" ");
+export const PAD_SHADOWS = PAD_POSITIONS.map(pad => ellipse(pad.x, pad.y + 4, pad.rx, pad.ry, -.72)).join(" ");
+
+// Sampling regions for rod-end pivots and the two ligature screws.
+export const DETAILS = [
+ ...[[881, 332], [824, 570], [801, 650], [748, 887]].map(([x, y]) => ellipse(x, y, 6.2, 6.5)),
+ ellipse(940, 190, 5, 5.5), ellipse(934, 214, 5, 5.5),
+].join(" ");
+export const ARC = [333, 558, 358, 311, 603, 105, 895, 215] as const;
+export const NODE = { x: 975, y: 322, rx: 14, ry: 7, rotation: -.8 } as const;
+// Solid musical accents are intentionally distinct from the stippled instrument.
+export const NOTE = "M2 12 C-1 10 -4 12 -4 14 C-4 17 2 16 2 13 L2 0 C3 3 8 3 6 8 C6 5 3 5 3 4 L3 12 Z";
+export const BEAMED_NOTE = "M2 12 C-1 10 -4 12 -4 14 C-4 17 2 16 2 13 L2 1 L13 -1 L13 10 C10 8 7 10 7 12 C7 15 13 14 13 11 L13 2 L3 4 L3 12 Z";
+export const TRAILS = [
+ [844, 919, 848, 752, 1129, 640, 1099, 502],
+ [852, 956, 861, 838, 954, 695, 1054, 721],
+ [848, 919, 873, 857, 920, 821, 976, 808],
+] as const;
+
+export function cubicPoint(points: readonly number[], t: number) {
+ const s = 1 - t;
+ return {
+ x: s * s * s * points[0] + 3 * s * s * t * points[2] + 3 * s * t * t * points[4] + t * t * t * points[6],
+ y: s * s * s * points[1] + 3 * s * s * t * points[3] + 3 * s * t * t * points[5] + t * t * t * points[7],
+ };
+}
+
+export function makeGeometry() {
+ return {
+ body: new Path2D(BODY),
+ negative: new Path2D(TIP_OPENING),
+ tip: new Path2D(TIP_OPENING),
+ bands: new Path2D(BANDS),
+ rings: new Path2D(RINGS),
+ rods: new Path2D(RODS),
+ pads: new Path2D(PADS),
+ padShadows: new Path2D(PAD_SHADOWS),
+ details: new Path2D(DETAILS),
+ bellOpening: new Path2D(BELL_OPENING),
+ bellRim: new Path2D(BELL_RIM),
+ };
+}
diff --git a/website/app/components/dithered-entrance/DitheredEntrance.module.css b/website/app/components/dithered-entrance/DitheredEntrance.module.css
deleted file mode 100644
index af33dd6..0000000
--- a/website/app/components/dithered-entrance/DitheredEntrance.module.css
+++ /dev/null
@@ -1,200 +0,0 @@
-.entrance {
- position: relative;
- z-index: 1;
- display: grid;
- min-height: 100vh;
- min-height: 100svh;
- min-height: 100dvh;
- overflow: hidden;
- place-items: center;
- background: var(--page);
-}
-
-.stage {
- position: relative;
- display: block;
- width: min(76vw, 72dvh, 720px);
- height: auto;
- padding: 0;
- border: 0;
- appearance: none;
- aspect-ratio: 1;
- background: transparent;
- color: inherit;
- container-type: inline-size;
- cursor: pointer;
- font: inherit;
- -webkit-tap-highlight-color: transparent;
- touch-action: pan-y;
- transition: transform 140ms cubic-bezier(0.23, 1, 0.32, 1);
-}
-
-.stage::after {
- position: absolute;
- top: 30%;
- right: 3%;
- bottom: 26%;
- left: 3%;
- border: 1px solid transparent;
- content: "";
- pointer-events: none;
- transition: border-color 140ms cubic-bezier(0.23, 1, 0.32, 1);
-}
-
-.stage:focus-visible {
- outline: 0;
-}
-
-.stage:focus-visible::after {
- border-color: var(--accent);
-}
-
-.stage:active {
- transform: scale(0.995);
-}
-
-.canvas,
-.fallback {
- position: absolute;
- inset: 0;
- width: 100%;
- height: 100%;
- transition: opacity 160ms cubic-bezier(0.23, 1, 0.32, 1);
-}
-
-.canvas {
- color: var(--dither);
- display: block;
- pointer-events: none;
-}
-
-.fallback {
- display: grid;
- align-content: center;
- color: var(--dither);
- font-family: var(--font-text);
- font-weight: 800;
- line-height: 0.84;
- text-align: center;
- opacity: 1;
- pointer-events: none;
-}
-
-.fallback span:first-child {
- font-size: 17cqw;
-}
-
-.fallback span:last-child {
- font-size: 23.5cqw;
-}
-
-.entrance[data-state="ready"] .fallback {
- opacity: 0;
-}
-
-@supports ((-webkit-background-clip: text) or (background-clip: text)) {
- .fallback span {
- color: transparent;
- background-image: radial-gradient(circle, var(--dither) 0 0.7px, transparent 0.85px);
- background-size: 2px 2px;
- -webkit-background-clip: text;
- background-clip: text;
- }
-}
-
-.scrollCue {
- position: absolute;
- bottom: 30px;
- left: 50%;
- display: inline-flex;
- min-height: 44px;
- align-items: center;
- color: var(--muted);
- font-size: var(--type-label);
- font-weight: 600;
- letter-spacing: 0.12em;
- line-height: 1;
- text-transform: uppercase;
- transform: translateX(-50%);
- transition: color 150ms cubic-bezier(0.23, 1, 0.32, 1);
-}
-
-.srOnly {
- position: absolute;
- width: 1px;
- height: 1px;
- overflow: hidden;
- margin: -1px;
- padding: 0;
- border: 0;
- clip: rect(0 0 0 0);
- clip-path: inset(50%);
- white-space: nowrap;
-}
-
-@media (hover: hover) and (pointer: fine) {
- .stage:hover .canvas {
- opacity: 0.84;
- }
-
- .entrance[data-state="fallback"] .stage:hover .fallback {
- opacity: 0.84;
- }
-
- .scrollCue:hover {
- color: var(--accent);
- }
-}
-
-@media (width < 768px) {
- .stage {
- width: min(92vw, 68dvh, 380px);
- }
-
- .scrollCue {
- bottom: 22px;
- }
-}
-
-@media (prefers-reduced-motion: reduce) {
- .stage,
- .stage::after,
- .canvas,
- .fallback {
- transition: none;
- }
-
- .stage:active {
- transform: none;
- }
-
- .canvas {
- opacity: 1;
- }
-
- @media (hover: hover) and (pointer: fine) {
- .stage:hover .canvas {
- opacity: 0.74;
- }
- }
-
- .scrollCue {
- transition: none;
- }
-}
-
-@media (forced-colors: active) {
- .canvas {
- display: none;
- }
-
- .entrance[data-state] .fallback {
- color: CanvasText;
- opacity: 1;
- }
-
- .fallback span {
- color: CanvasText;
- background: none;
- }
-}
diff --git a/website/app/components/dithered-entrance/DitheredEntrance.tsx b/website/app/components/dithered-entrance/DitheredEntrance.tsx
deleted file mode 100644
index 755e324..0000000
--- a/website/app/components/dithered-entrance/DitheredEntrance.tsx
+++ /dev/null
@@ -1,350 +0,0 @@
-"use client";
-
-import { useEffect, useRef } from "react";
-import { createBalancedDitherField } from "./dither-mask";
-import {
- cubicFalloff,
- DITHER_MOTION,
- integrateSpringAxis,
-} from "./dither-motion";
-import type { DitherPointField, DitherRipple } from "./dither-types";
-import styles from "./DitheredEntrance.module.css";
-
-export function DitheredEntrance() {
- const entranceRef = useRef(null);
- const stageRef = useRef(null);
- const canvasRef = useRef(null);
-
- useEffect(() => {
- const entrance = entranceRef.current;
- const stage = stageRef.current;
- const canvas = canvasRef.current;
- if (!canvas || !entrance || !stage) return;
- const context = canvas.getContext("2d");
- if (!context) {
- entrance.dataset.state = "fallback";
- return;
- }
-
- let field: DitherPointField = createBalancedDitherField(1);
- let ripples: DitherRipple[] = [];
- let frame = 0;
- let resizeFrame = 0;
- let destroyed = false;
- let fontsReady = !("fonts" in document);
- let cssSize = 1;
- let ditherColor = "";
- let fadeStartedAt = performance.now();
- let pointerActive = false;
- let pointerX = 0;
- let pointerY = 0;
- let touchOrigin: { x: number; y: number; moved: boolean } | null = null;
- const motionQuery = window.matchMedia("(prefers-reduced-motion: reduce)");
-
- const draw = (now: number) => {
- frame = 0;
- if (destroyed) return;
-
- const reducedMotion = motionQuery.matches;
- const readyProgress = reducedMotion
- ? 1
- : Math.min(1, (now - fadeStartedAt) / DITHER_MOTION.readyDuration);
- let stillMoving = readyProgress < 1;
- ripples = ripples.filter(
- (ripple) => now - ripple.startedAt <= DITHER_MOTION.rippleDuration,
- );
-
- context.clearRect(0, 0, cssSize, cssSize);
- context.fillStyle = ditherColor;
- context.globalAlpha = readyProgress;
- context.beginPath();
-
- for (let index = 0; index < field.count; index += 1) {
- const homeX = field.homeX[index];
- const homeY = field.homeY[index];
- let targetX = homeX;
- let targetY = homeY;
-
- if (!reducedMotion && pointerActive) {
- const dx = homeX - pointerX;
- const dy = homeY - pointerY;
- const distance = Math.hypot(dx, dy);
- if (distance > 0.001 && distance < DITHER_MOTION.repelRadius) {
- const displacement =
- DITHER_MOTION.maximumDisplacement *
- cubicFalloff(distance, DITHER_MOTION.repelRadius);
- targetX += (dx / distance) * displacement;
- targetY += (dy / distance) * displacement;
- }
- }
-
- if (!reducedMotion) {
- for (const ripple of ripples) {
- const elapsed = (now - ripple.startedAt) / 1000;
- const waveRadius = elapsed * DITHER_MOTION.rippleSpeed;
- const dx = homeX - ripple.x;
- const dy = homeY - ripple.y;
- const distance = Math.hypot(dx, dy);
- const delta = Math.abs(distance - waveRadius);
- if (distance > 0.001 && delta < DITHER_MOTION.rippleWidth) {
- const wave = 1 - delta / DITHER_MOTION.rippleWidth;
- const life =
- 1 - Math.min(1, (now - ripple.startedAt) / DITHER_MOTION.rippleDuration);
- const displacement =
- DITHER_MOTION.rippleStrength * wave * wave * life;
- targetX += (dx / distance) * displacement;
- targetY += (dy / distance) * displacement;
- }
- }
- }
-
- if (reducedMotion) {
- field.x[index] = homeX;
- field.y[index] = homeY;
- field.velocityX[index] = 0;
- field.velocityY[index] = 0;
- } else {
- const [nextX, nextVelocityX] = integrateSpringAxis(
- field.x[index],
- field.velocityX[index],
- targetX,
- );
- const [nextY, nextVelocityY] = integrateSpringAxis(
- field.y[index],
- field.velocityY[index],
- targetY,
- );
- field.x[index] = nextX;
- field.y[index] = nextY;
- field.velocityX[index] = nextVelocityX;
- field.velocityY[index] = nextVelocityY;
-
- if (
- Math.abs(nextX - targetX) > 0.08 ||
- Math.abs(nextY - targetY) > 0.08 ||
- Math.abs(nextVelocityX) > 0.02 ||
- Math.abs(nextVelocityY) > 0.02
- ) {
- stillMoving = true;
- }
- }
-
- const radius = field.radius[index];
- context.moveTo(field.x[index] + radius, field.y[index]);
- context.arc(field.x[index], field.y[index], radius, 0, Math.PI * 2);
- }
-
- context.fill();
- context.globalAlpha = 1;
-
- if (
- !reducedMotion &&
- (ripples.length > 0 || stillMoving)
- ) {
- frame = requestAnimationFrame(draw);
- }
- };
-
- const requestDraw = () => {
- if (!frame) frame = requestAnimationFrame(draw);
- };
-
- const addRipple = (x: number, y: number) => {
- ripples.push({ x, y, startedAt: performance.now() });
- if (ripples.length > DITHER_MOTION.maximumRipples) {
- ripples.splice(0, ripples.length - DITHER_MOTION.maximumRipples);
- }
- requestDraw();
- };
-
- const rebuild = () => {
- if (destroyed || !fontsReady) return;
- const bounds = canvas.getBoundingClientRect();
- cssSize = Math.max(1, Math.round(Math.min(bounds.width, bounds.height)));
- ditherColor = getComputedStyle(canvas).color;
- const pixelRatio = Math.min(2, window.devicePixelRatio || 1);
- canvas.width = Math.round(cssSize * pixelRatio);
- canvas.height = Math.round(cssSize * pixelRatio);
- context.setTransform(pixelRatio, 0, 0, pixelRatio, 0, 0);
- field = createBalancedDitherField(cssSize);
- canvas.dataset.pointCount = String(field.count);
- fadeStartedAt = performance.now();
- entrance.dataset.state = "ready";
- requestDraw();
- };
-
- const queueRebuild = () => {
- cancelAnimationFrame(resizeFrame);
- resizeFrame = requestAnimationFrame(rebuild);
- };
-
- const localPosition = (event: PointerEvent) => {
- const bounds = canvas.getBoundingClientRect();
- return { x: event.clientX - bounds.left, y: event.clientY - bounds.top };
- };
-
- const onPointerDown = (event: PointerEvent) => {
- const position = localPosition(event);
- if (event.pointerType === "touch") {
- touchOrigin = { ...position, moved: false };
- }
- if (!motionQuery.matches) {
- pointerX = position.x;
- pointerY = position.y;
- pointerActive = event.pointerType !== "touch";
- requestDraw();
- }
- if (typeof stage.setPointerCapture === "function") {
- stage.setPointerCapture(event.pointerId);
- }
- };
-
- const onPointerEnter = (event: PointerEvent) => {
- if (event.pointerType === "touch" || motionQuery.matches) return;
- const position = localPosition(event);
- pointerX = position.x;
- pointerY = position.y;
- pointerActive = true;
- requestDraw();
- };
-
- const onPointerMove = (event: PointerEvent) => {
- const position = localPosition(event);
- if (event.pointerType === "touch") {
- if (touchOrigin && Math.hypot(position.x - touchOrigin.x, position.y - touchOrigin.y) > 8) {
- touchOrigin.moved = true;
- }
- return;
- }
- if (motionQuery.matches) return;
- pointerX = position.x;
- pointerY = position.y;
- pointerActive = true;
- requestDraw();
- };
-
- const onPointerLeave = () => {
- pointerActive = false;
- requestDraw();
- };
-
- const onPointerUp = (event: PointerEvent) => {
- if (
- typeof stage.hasPointerCapture === "function" &&
- stage.hasPointerCapture(event.pointerId)
- ) {
- stage.releasePointerCapture(event.pointerId);
- }
- if (motionQuery.matches) {
- touchOrigin = null;
- return;
- }
- if (event.pointerType === "touch" && touchOrigin?.moved) {
- touchOrigin = null;
- return;
- }
- const position = localPosition(event);
- addRipple(position.x, position.y);
- if (event.pointerType === "touch") pointerActive = false;
- touchOrigin = null;
- };
-
- const onPointerCancel = (event: PointerEvent) => {
- if (
- typeof stage.hasPointerCapture === "function" &&
- stage.hasPointerCapture(event.pointerId)
- ) {
- stage.releasePointerCapture(event.pointerId);
- }
- touchOrigin = null;
- pointerActive = false;
- requestDraw();
- };
-
- const onKeyboardActivate = (event: MouseEvent) => {
- if (event.detail !== 0 || motionQuery.matches) return;
- addRipple(cssSize / 2, cssSize / 2);
- };
-
- const onMotionPreferenceChange = () => {
- pointerActive = false;
- ripples = [];
- requestDraw();
- };
-
- const resizeObserver = "ResizeObserver" in window
- ? new ResizeObserver(queueRebuild)
- : undefined;
- if (resizeObserver) {
- resizeObserver.observe(canvas);
- } else {
- window.addEventListener("resize", queueRebuild, { passive: true });
- }
- if (typeof motionQuery.addEventListener === "function") {
- motionQuery.addEventListener("change", onMotionPreferenceChange);
- } else {
- motionQuery.addListener(onMotionPreferenceChange);
- }
- stage.addEventListener("pointerdown", onPointerDown, { passive: true });
- stage.addEventListener("pointerenter", onPointerEnter, { passive: true });
- stage.addEventListener("pointermove", onPointerMove, { passive: true });
- stage.addEventListener("pointerleave", onPointerLeave, { passive: true });
- stage.addEventListener("pointerup", onPointerUp, { passive: true });
- stage.addEventListener("pointercancel", onPointerCancel, { passive: true });
- stage.addEventListener("click", onKeyboardActivate);
-
- try {
- if (fontsReady) {
- rebuild();
- } else {
- document.fonts.load('800 1em "Inter"', "THEODORE OUYANG").then(() => {
- if (destroyed) return;
- fontsReady = true;
- queueRebuild();
- }).catch(() => {
- if (!destroyed) entrance.dataset.state = "fallback";
- });
- }
- } catch {
- entrance.dataset.state = "fallback";
- }
-
- return () => {
- destroyed = true;
- cancelAnimationFrame(frame);
- cancelAnimationFrame(resizeFrame);
- resizeObserver?.disconnect();
- if (!resizeObserver) window.removeEventListener("resize", queueRebuild);
- if (typeof motionQuery.removeEventListener === "function") {
- motionQuery.removeEventListener("change", onMotionPreferenceChange);
- } else {
- motionQuery.removeListener(onMotionPreferenceChange);
- }
- stage.removeEventListener("pointerdown", onPointerDown);
- stage.removeEventListener("pointerenter", onPointerEnter);
- stage.removeEventListener("pointermove", onPointerMove);
- stage.removeEventListener("pointerleave", onPointerLeave);
- stage.removeEventListener("pointerup", onPointerUp);
- stage.removeEventListener("pointercancel", onPointerCancel);
- stage.removeEventListener("click", onKeyboardActivate);
- };
- }, []);
-
- return (
-
-
-
- THEODORE
- OUYANG
-
-
- Theodore Ouyang
-
-
-
- Scroll
-
-
- );
-}
diff --git a/website/app/components/dithered-entrance/dither-mask.ts b/website/app/components/dithered-entrance/dither-mask.ts
deleted file mode 100644
index 17dcde8..0000000
--- a/website/app/components/dithered-entrance/dither-mask.ts
+++ /dev/null
@@ -1,94 +0,0 @@
-import type { DitherPointField } from "./dither-types";
-
-const BAYER_4X4 = [
- 0, 8, 2, 10,
- 12, 4, 14, 6,
- 3, 11, 1, 9,
- 15, 7, 13, 5,
-] as const;
-
-function seededNoise(x: number, y: number) {
- const value = Math.sin(x * 12.9898 + y * 78.233) * 43758.5453;
- return value - Math.floor(value);
-}
-
-function setFittedFont(
- context: CanvasRenderingContext2D,
- text: string,
- requestedSize: number,
- maximumWidth: number,
-) {
- const stack = getComputedStyle(document.documentElement).getPropertyValue("--font-text").trim() || '"Inter", sans-serif';
- context.font = `800 ${requestedSize}px ${stack}`;
- const measured = context.measureText(text).width;
- const size = measured > maximumWidth
- ? requestedSize * (maximumWidth / measured)
- : requestedSize;
- context.font = `800 ${size}px ${stack}`;
-}
-
-function drawBalancedWordmark(context: CanvasRenderingContext2D, size: number) {
- context.clearRect(0, 0, size, size);
- context.fillStyle = "#000";
- context.textAlign = "center";
- context.textBaseline = "middle";
-
- setFittedFont(context, "THEODORE", size * 0.17, size * 0.9);
- context.fillText("THEODORE", size / 2, size * 0.405);
- setFittedFont(context, "OUYANG", size * 0.235, size * 0.9);
- context.fillText("OUYANG", size / 2, size * 0.61);
-}
-
-export function createBalancedDitherField(size: number): DitherPointField {
- const mask = document.createElement("canvas");
- mask.width = size;
- mask.height = size;
- const context = mask.getContext("2d", { willReadFrequently: true });
- if (!context) {
- return {
- count: 0,
- homeX: new Float32Array(),
- homeY: new Float32Array(),
- x: new Float32Array(),
- y: new Float32Array(),
- velocityX: new Float32Array(),
- velocityY: new Float32Array(),
- radius: new Float32Array(),
- };
- }
-
- drawBalancedWordmark(context, size);
- const pixels = context.getImageData(0, 0, size, size).data;
- const homeX: number[] = [];
- const homeY: number[] = [];
- const radii: number[] = [];
- const keepRate = size >= 440 ? 0.56 : 0.6;
-
- for (let y = 0; y < size; y += 1) {
- for (let x = 0; x < size; x += 1) {
- const alpha = pixels[(y * size + x) * 4 + 3] / 255;
- if (alpha <= 0) continue;
-
- const threshold = (BAYER_4X4[(y % 4) * 4 + (x % 4)] + 0.5) / 16;
- const noise = seededNoise(x, y);
- if (alpha < threshold || noise > keepRate) continue;
-
- homeX.push(x);
- homeY.push(y);
- radii.push(0.42 + seededNoise(y, x) * 0.42);
- }
- }
-
- const x = Float32Array.from(homeX);
- const y = Float32Array.from(homeY);
- return {
- count: x.length,
- homeX: Float32Array.from(homeX),
- homeY: Float32Array.from(homeY),
- x,
- y,
- velocityX: new Float32Array(x.length),
- velocityY: new Float32Array(x.length),
- radius: Float32Array.from(radii),
- };
-}
diff --git a/website/app/components/dithered-entrance/dither-motion.ts b/website/app/components/dithered-entrance/dither-motion.ts
deleted file mode 100644
index 75a566f..0000000
--- a/website/app/components/dithered-entrance/dither-motion.ts
+++ /dev/null
@@ -1,29 +0,0 @@
-export const DITHER_MOTION = {
- repelRadius: 100,
- maximumDisplacement: 40,
- recovery: 0.12,
- velocityRetention: 0.72,
- rippleSpeed: 225,
- rippleWidth: 37,
- rippleStrength: 20,
- rippleDuration: 675,
- maximumRipples: 4,
- readyDuration: 800,
-} as const;
-
-export function cubicFalloff(distance: number, radius: number) {
- if (distance >= radius) return 0;
- const proximity = 1 - distance / radius;
- return proximity * proximity * proximity;
-}
-
-export function integrateSpringAxis(
- value: number,
- velocity: number,
- target: number,
-) {
- const nextVelocity =
- (velocity + (target - value) * DITHER_MOTION.recovery) *
- DITHER_MOTION.velocityRetention;
- return [value + nextVelocity, nextVelocity] as const;
-}
diff --git a/website/app/components/dithered-entrance/dither-types.ts b/website/app/components/dithered-entrance/dither-types.ts
deleted file mode 100644
index 9408b9d..0000000
--- a/website/app/components/dithered-entrance/dither-types.ts
+++ /dev/null
@@ -1,16 +0,0 @@
-export type DitherPointField = {
- count: number;
- homeX: Float32Array;
- homeY: Float32Array;
- x: Float32Array;
- y: Float32Array;
- velocityX: Float32Array;
- velocityY: Float32Array;
- radius: Float32Array;
-};
-
-export type DitherRipple = {
- x: number;
- y: number;
- startedAt: number;
-};
diff --git a/website/app/globals.css b/website/app/globals.css
index d03ec57..37773e0 100644
--- a/website/app/globals.css
+++ b/website/app/globals.css
@@ -371,9 +371,9 @@ button:focus-visible {
.back-link {
text-decoration: underline;
- text-decoration-color: var(--rule-strong);
+ text-decoration-color: var(--link-rule);
text-decoration-thickness: 1px;
- text-underline-offset: 3px;
+ text-underline-offset: var(--link-underline-offset);
transition: color 180ms var(--ease-out), text-decoration-color 180ms var(--ease-out), transform 120ms var(--ease-out);
}
diff --git a/website/app/home.module.css b/website/app/home.module.css
index 49737fa..432ee8b 100644
--- a/website/app/home.module.css
+++ b/website/app/home.module.css
@@ -52,7 +52,7 @@
user-select: none;
}
-.identity h1 {
+.identity :is(h1, h2) {
margin: 0;
font-size: var(--type-title);
font-weight: 500;
@@ -61,7 +61,7 @@
text-wrap: balance;
}
-.identity h1 span {
+.identity :is(h1, h2) span {
display: block;
}
@@ -91,24 +91,13 @@
.researchEntry {
border-top: 1px solid var(--rule);
-}
-
-.researchLink {
- display: block;
padding: 28px 0 30px;
- color: var(--ink);
- transition: color 180ms var(--ease-out);
}
-.researchEntry:last-child .researchLink {
+.researchEntry:last-child {
padding-bottom: 0;
}
-.researchLink:focus-visible,
-.researchLink:active {
- color: var(--accent);
-}
-
.researchTitle,
.institution {
margin: 0;
@@ -189,28 +178,31 @@
scroll-margin-top: 32px;
}
-.courseworkButton {
+.readMore {
display: flex;
- align-items: center;
width: fit-content;
- min-height: 36px;
- padding: 7px 10px;
- color: #fff;
- background: #464646;
+ align-items: center;
+ min-height: 44px;
+ margin-top: 4px;
+ gap: 6px;
font-size: var(--type-action);
font-weight: 500;
line-height: var(--interface-leading);
+ text-decoration: underline;
+ text-decoration-color: var(--link-rule);
+ text-underline-offset: var(--link-underline-offset);
cursor: pointer;
- transition: background-color 180ms var(--ease-out);
}
-.courseworkButton:focus-visible {
- outline: 2px solid var(--accent);
- outline-offset: 4px;
+.readMore svg {
+ width: 14px;
+ height: 14px;
+ flex-shrink: 0;
}
-.courseworkButton:active {
- background: var(--accent);
+.readMore:focus-visible {
+ outline: 2px solid var(--accent);
+ outline-offset: 4px;
}
.contactStrip {
@@ -250,20 +242,15 @@
}
@media (hover: hover) and (pointer: fine) {
- .researchLink:hover,
+ .readMore:hover,
.contactStrip a:hover {
color: var(--accent);
text-decoration-color: var(--accent);
}
-
- .courseworkButton:hover {
- background: var(--accent);
- }
}
@media (pointer: coarse) {
- .contactStrip a,
- .courseworkButton {
+ .contactStrip a {
min-height: 44px;
}
}
@@ -325,8 +312,6 @@
}
@media (prefers-reduced-motion: reduce) {
- .researchLink,
- .courseworkButton,
.contactStrip a {
transition: none;
}
diff --git a/website/app/page.tsx b/website/app/page.tsx
index 862c5c5..b577166 100644
--- a/website/app/page.tsx
+++ b/website/app/page.tsx
@@ -1,6 +1,6 @@
import type { Metadata } from "next";
import { AboutContent } from "./components/AboutContent";
-import { DitheredEntrance } from "./components/dithered-entrance/DitheredEntrance";
+import { ClarinetHero } from "./components/clarinet-hero/ClarinetHero";
import { SiteShell } from "./components/SiteShell";
import { createPageMetadata, ABOUT_DESCRIPTION, HOME_TITLE } from "./lib/content/site";
import styles from "./home.module.css";
@@ -16,9 +16,9 @@ export default function AboutPage() {
return (
<>
Skip to main content
-
-
);
diff --git a/website/content/protected-sources.json b/website/content/protected-sources.json
index 3bffa79..3debf1c 100644
--- a/website/content/protected-sources.json
+++ b/website/content/protected-sources.json
@@ -7,7 +7,7 @@
"app/components/experience/ExperienceDetails.tsx": "a47f62f2a973e7681684d757b8c31017634ee00c2cd7dced8affd2a832109540",
"app/lib/content/experience-showcase.ts": "c769e21ec5ba92d66d439746d1090eee5c83ea129e69b30b21943d18325512dd",
"content/experience-showcase.json": "7ab3d22fc8c240fd8ebd3d52b2037cf2108650e5fb359f22c899ed9e3e92716b",
- "app/components/AboutContent.tsx": "2b11e26ca257c5f2d926e23e23b6bb5fa904810e1b4c50d5c8ca36e7fb27f8f8",
+ "app/components/AboutContent.tsx": "ba8367bdf67718bf5661d8885c1a8a8ca7a46325f3dc8b0241383985c6893de4",
"app/lib/content/about.ts": "8d79e72133dcbcae9523771a099f53f0aecb879cea384769ff6bb0144e05626f",
"app/components/research/ResearchArticle.tsx": "2f48af261a23f0d137f4536a8d57791f9cad475f91bb360f5427797ce6d846e9",
"app/components/research/ResearchMath.tsx": "a61ffe67375e2c50a7cac7167f39ff39ef7a115d6aa240c14f9240b9361e54cf",
diff --git a/website/content/visible-copy-manifest.json b/website/content/visible-copy-manifest.json
index 2406243..a61bf99 100644
--- a/website/content/visible-copy-manifest.json
+++ b/website/content/visible-copy-manifest.json
@@ -6,14 +6,18 @@
],
"routes": {
"/": {
- "textSha256": "5967fe6ad4a18408b2201a2b6c1f8af419930ec6cc5da6bf40e519c642b2d0fd",
- "characterCount": 2699,
- "wordCount": 363,
- "preview": "Skip to main content Scroll Theodore Ouyang About Experience Thinking mathematically Working in AI Mathematics is how I make sense of things. I want to know whi",
+ "textSha256": "c39aae8bf1b4a104103de2bbf57e2cd83fe09864290aa7ab1486310b22bd7699",
+ "characterCount": 2760,
+ "wordCount": 374,
+ "preview": "Skip to main content Theodore Ouyang Duke alumnus Sequoia Fellow Theodore Ouyang About Experience Thinking mathematically Working in AI Mathematics is how I mak",
"altTexts": [],
"ariaLabels": [
"Theodore Ouyang home",
"Primary navigation",
+ "Read more about Critical Dependence Stress for Portfolio Diversification",
+ "Read more about Certified Valuation of Arithmetic Asian Options",
+ "Read more about Certified Joint Pricing Errors in Rough Heston",
+ "Read more about coursework",
"Contact"
],
"metadata": {
@@ -28,14 +32,18 @@
}
},
"/education/": {
- "textSha256": "9f9bced701858799efbcc1a935c66b60b6eeb006631d3024b728e9954727be18",
- "characterCount": 2692,
- "wordCount": 362,
+ "textSha256": "5d863e93930479085960820a25415a47dae966cc476fd18c0c62a42fd9f9f3f1",
+ "characterCount": 2716,
+ "wordCount": 368,
"preview": "Skip to main content Theodore Ouyang About Experience Thinking mathematically Working in AI Mathematics is how I make sense of things. I want to know which assu",
"altTexts": [],
"ariaLabels": [
"Theodore Ouyang home",
"Primary navigation",
+ "Read more about Critical Dependence Stress for Portfolio Diversification",
+ "Read more about Certified Valuation of Arithmetic Asian Options",
+ "Read more about Certified Joint Pricing Errors in Rough Heston",
+ "Read more about coursework",
"Contact"
],
"metadata": {
diff --git a/website/tests/clarinet-alignment.test.mjs b/website/tests/clarinet-alignment.test.mjs
new file mode 100644
index 0000000..3e508ad
--- /dev/null
+++ b/website/tests/clarinet-alignment.test.mjs
@@ -0,0 +1,114 @@
+import assert from "node:assert/strict";
+import test from "node:test";
+import { alignCanvas } from "../app/components/clarinet-hero/alignment.ts";
+
+function harness(t, { dpr = 2.28, width = 730.986, left = 638.344, top = 92.176, scale = 1, offset = 0 } = {}) {
+ const originalDpr = Object.getOwnPropertyDescriptor(globalThis, "devicePixelRatio");
+ const originalStyle = Object.getOwnPropertyDescriptor(globalThis, "getComputedStyle");
+ Object.defineProperty(globalThis, "devicePixelRatio", { value: dpr, configurable: true });
+ Object.defineProperty(globalThis, "getComputedStyle", {
+ configurable: true,
+ value: element => ({ getPropertyValue: property => element.variables[property] ?? "" }),
+ });
+ t.after(() => {
+ if (originalDpr) Object.defineProperty(globalThis, "devicePixelRatio", originalDpr);
+ else delete globalThis.devicePixelRatio;
+ if (originalStyle) Object.defineProperty(globalThis, "getComputedStyle", originalStyle);
+ else delete globalThis.getComputedStyle;
+ });
+ const rect = { width, left, top };
+ const stage = {
+ variables: { "--canvas-scale": String(scale), "--canvas-left": String(offset) },
+ getBoundingClientRect() { return { ...rect }; },
+ };
+ const writes = [];
+ const style = new Proxy({}, {
+ set(object, property, value) { writes.push({ property, value }); object[property] = value; return true; },
+ });
+ const canvas = {
+ parentElement: stage, style,
+ width: 0, height: 0,
+ getBoundingClientRect() {
+ return {
+ width: Number.parseFloat(style.width) || rect.width * Number(stage.variables["--canvas-scale"]),
+ left: rect.left + (Number.parseFloat(style.left) || 0),
+ top: rect.top + (Number.parseFloat(style.top) || 0),
+ };
+ },
+ };
+ return { canvas, stage, rect, writes };
+}
+
+const close = (actual, expected, message) => assert.ok(Math.abs(actual - expected) < 1e-9, message);
+
+test("fractional desktop layout at DPR 2.28 maps the CSS box and origin to device pixels", t => {
+ const h = harness(t);
+ const result = alignCanvas(h.canvas);
+ assert.equal(result.dpr, 2.28);
+ close(result.width * result.dpr, Math.round(730.986 * 2.28));
+ close(result.height * result.dpr, Math.round(730.986 * 1223 / 1286 * 2.28));
+ const screenLeft = h.rect.left + Number.parseFloat(h.canvas.style.left);
+ const screenTop = h.rect.top + Number.parseFloat(h.canvas.style.top);
+ close(screenLeft * 2.28, Math.round(screenLeft * 2.28));
+ close(screenTop * 2.28, Math.round(screenTop * 2.28));
+ assert.ok(Math.abs(Number.parseFloat(h.canvas.style.left)) <= .5 / 2.28);
+ assert.ok(Math.abs(Number.parseFloat(h.canvas.style.top)) <= .5 / 2.28);
+ assert.equal(h.canvas.width, 0, "Alignment must not allocate or clear the backing store.");
+});
+
+test("mobile 130 percent width always comes from the stage, including a responsive resize", t => {
+ const h = harness(t, { width: 350.125, left: 20, top: 440.35, scale: 1.3, offset: -.25, dpr: 3 });
+ const first = alignCanvas(h.canvas);
+ close(first.width, Math.round(350.125 * 1.3 * 3) / 3);
+ const rawLeft = h.rect.width * -.25;
+ assert.ok(Math.abs(Number.parseFloat(h.canvas.style.left) - rawLeft) <= .5 / 3);
+ // A previously rounded inline canvas width must never feed back into scale.
+ h.canvas.style.width = "12px";
+ h.rect.width = 390.375;
+ const resized = alignCanvas(h.canvas);
+ close(resized.width, Math.round(390.375 * 1.3 * 3) / 3);
+ close(Number.parseFloat(h.canvas.style.width), resized.width);
+});
+
+test("repeated alignment is idempotent and does not rewrite equivalent CSSOM values", t => {
+ const h = harness(t);
+ const first = alignCanvas(h.canvas);
+ const firstWrites = h.writes.length;
+ for (let i = 0; i < 20; i += 1) assert.deepEqual(alignCanvas(h.canvas), first);
+ assert.equal(h.writes.length, firstWrites);
+ // CSSOM is allowed to serialize a number with fewer significant digits.
+ h.canvas.style.width = String(Number.parseFloat(h.canvas.style.width).toFixed(3)) + "px";
+ const serializedWrites = h.writes.length;
+ alignCanvas(h.canvas);
+ assert.equal(h.writes.length, serializedWrites);
+});
+
+test("fractional scrolling adjusts the origin without changing dimensions or reallocating", t => {
+ const h = harness(t);
+ const first = alignCanvas(h.canvas);
+ h.writes.length = 0;
+ h.rect.top -= 31.125;
+ const scrolled = alignCanvas(h.canvas);
+ assert.deepEqual(scrolled, first);
+ assert.ok(h.writes.length > 0);
+ assert.ok(h.writes.every(write => write.property === "top"));
+ const top = h.rect.top + Number.parseFloat(h.canvas.style.top);
+ close(top * scrolled.dpr, Math.round(top * scrolled.dpr));
+ assert.deepEqual([h.canvas.width, h.canvas.height], [0, 0]);
+});
+
+test("DPR stays capped at three while origin alignment follows the physical display", t => {
+ const h = harness(t, { dpr: 4 });
+ const result = alignCanvas(h.canvas);
+ assert.equal(result.dpr, 3);
+ close(result.width * 3, Math.round(h.rect.width * 3));
+ const left = h.rect.left + Number.parseFloat(h.canvas.style.left);
+ close(left * 4, Math.round(left * 4));
+});
+
+test("a detached canvas can fall back to its current rect without a stage or style stub", t => {
+ harness(t);
+ const result = alignCanvas({ parentElement: null, getBoundingClientRect: () => ({ width: 600, left: 0, top: 0 }) });
+ assert.equal(result.width, 600);
+ close(result.height, Math.round(600 * 1223 / 1286 * 2.28) / 2.28);
+});
diff --git a/website/tests/clarinet-lifecycle.test.mjs b/website/tests/clarinet-lifecycle.test.mjs
new file mode 100644
index 0000000..0dd6c1e
--- /dev/null
+++ b/website/tests/clarinet-lifecycle.test.mjs
@@ -0,0 +1,470 @@
+import assert from "node:assert/strict";
+import { readFile } from "node:fs/promises";
+import test from "node:test";
+import ts from "typescript";
+
+// Exercise the actual renderer, sampler and physics with controlled browser
+// services. Synthetic masks test composition and scheduling, not visual fidelity.
+const base = new URL("../app/components/clarinet-hero/", import.meta.url);
+const moduleUrl = source => "data:text/javascript;base64," + Buffer.from(source).toString("base64");
+async function compile(name) {
+ return ts.transpileModule(await readFile(new URL(name, base), "utf8"), {
+ compilerOptions: { module: ts.ModuleKind.ESNext, target: ts.ScriptTarget.ES2022 },
+ }).outputText;
+}
+const physicsUrl = moduleUrl(await compile("physics.ts"));
+const shapeUrl = moduleUrl(await compile("shape.ts"));
+const { NOTE, BEAMED_NOTE, NODE } = await import(shapeUrl);
+const notePaths = [NOTE, BEAMED_NOTE].map(path => JSON.stringify([["svg", path]]));
+const nodePath = JSON.stringify([["ellipse", 0, 0, NODE.rx, NODE.ry, NODE.rotation, 0, Math.PI * 2]]);
+const samplingUrl = moduleUrl((await compile("sampling.ts"))
+ .replace('"./physics"', JSON.stringify(physicsUrl)).replace('"./shape"', JSON.stringify(shapeUrl)));
+const rendererSource = (await compile("renderer.ts"))
+ .replace('"./physics"', JSON.stringify(physicsUrl))
+ .replace('"./shape"', JSON.stringify(shapeUrl))
+ .replace('"./sampling"', JSON.stringify(samplingUrl))
+ .replace('"./pixels"', JSON.stringify(moduleUrl(await compile("pixels.ts"))))
+ .replace('"./alignment"', JSON.stringify(moduleUrl(await compile("alignment.ts"))));
+const { mountClarinet } = await import(moduleUrl(rendererSource));
+
+function eventTarget() {
+ const listeners = new Map();
+ return {
+ addEventListener(type, listener, options) {
+ if (!listeners.has(type)) listeners.set(type, new Map());
+ listeners.get(type).set(listener, options);
+ },
+ removeEventListener(type, listener) { listeners.get(type)?.delete(listener); },
+ emit(type, event = {}) { for (const listener of listeners.get(type)?.keys() ?? []) listener(event); },
+ options(type) { return [...(listeners.get(type)?.values() ?? [])]; },
+ listenerCount() { return [...listeners.values()].reduce((sum, set) => sum + set.size, 0); },
+ };
+}
+const rounded = value => JSON.parse(JSON.stringify(value, (_, item) =>
+ typeof item === "number" ? Number(item.toFixed(9)) : item));
+
+function harness({ reduced = false, width = 240, pixelRatio = 1 } = {}) {
+ const originals = new Map(), frames = new Map(), observers = [], controllers = [], canvases = [];
+ const sampledCanvases = new Set();
+ let nextFrame = 1, sampleReads = 0, resolveFonts;
+ const fontsReady = new Promise(resolve => { resolveFonts = resolve; });
+ const motion = Object.assign(eventTarget(), { matches: reduced });
+ const hover = Object.assign(eventTarget(), { matches: true });
+ const windowMock = Object.assign(eventTarget(), { scrollY: 0 });
+ const copy = { style: {} }, markers = { style: {} };
+ const hero = {
+ getBoundingClientRect() { return { top: -windowMock.scrollY, height: 900 }; },
+ querySelector(selector) { return selector === "[data-hero-copy]" ? copy : markers; },
+ };
+ function makeCanvas() {
+ const canvas = Object.assign(eventTarget(), {
+ cssWidth: width, dataset: {},
+ getBoundingClientRect() { return { width: this.cssWidth, left: 0, top: -windowMock.scrollY }; },
+ });
+ let backingWidth = 0, backingHeight = 0;
+ const saved = [];
+ const context = {
+ globalAlpha: 1, globalCompositeOperation: "source-over", fillStyle: "#000",
+ strokeStyle: "#000", lineWidth: 1, drawing: [], matrix: [1, 0, 0, 1, 0, 0], clipping: null, path: [],
+ stats: { pixels: 0, vectors: 0, strokes: 0, gradients: 0, filledPaths: new Set() },
+ clearRect(x, y, w, h) {
+ if (x === 0 && y === 0 && w * this.matrix[0] >= backingWidth - 1
+ && h * this.matrix[3] >= backingHeight - 1) this.drawing = [];
+ else this.drawing.push({ op: "clear", rectangle: [x, y, w, h] });
+ },
+ fillRect(x, y, w, h) {
+ this.stats.pixels++;
+ this.drawing.push({ op: "pixel", rectangle: [x, y, w, h], alpha: this.globalAlpha,
+ color: this.fillStyle, matrix: [...this.matrix], clipping: this.clipping });
+ },
+ createLinearGradient() { this.stats.gradients++; return { addColorStop() {} }; },
+ getImageData() {
+ sampleReads++; sampledCanvases.add(canvas);
+ const data = new Uint8ClampedArray(canvas.width * canvas.height * 4);
+ const body = this.drawing.some(command => command.op === "fill" && command.color === "#ff0000");
+ const metal = this.drawing.some(command => command.op === "fill" && command.rule === "evenodd");
+ const boxes = body ? [[.58, .4, .62, .45], [.58, .65, .62, .7]]
+ : metal ? [[.65, .48, .68, .52]] : [[.67, .49, .675, .53]];
+ for (const [x0, y0, x1, y1] of boxes) {
+ for (let y = Math.floor(canvas.height * y0); y < canvas.height * y1; y++) {
+ for (let x = Math.floor(canvas.width * x0); x < canvas.width * x1; x++) {
+ const i = (y * canvas.width + x) * 4;
+ data[i] = data[i + 1] = data[i + 2] = data[i + 3] = 255;
+ }
+ }
+ }
+ return { width: canvas.width, height: canvas.height, data };
+ },
+ drawImage(source, ...args) {
+ this.drawing.push({ op: "image", source, args, alpha: this.globalAlpha, matrix: [...this.matrix] });
+ },
+ save() {
+ saved.push({ matrix: [...this.matrix], globalAlpha: this.globalAlpha, clipping: this.clipping,
+ globalCompositeOperation: this.globalCompositeOperation, fillStyle: this.fillStyle,
+ strokeStyle: this.strokeStyle, lineWidth: this.lineWidth });
+ },
+ restore() { Object.assign(this, saved.pop()); },
+ setTransform(...matrix) { this.matrix = matrix; },
+ scale(x, y) {
+ this.matrix[0] *= x; this.matrix[1] *= x; this.matrix[2] *= y; this.matrix[3] *= y;
+ },
+ rotate(angle) {
+ const [a, b, c, d, e, f] = this.matrix;
+ const cos = Math.cos(angle), sin = Math.sin(angle);
+ this.matrix = [a * cos + c * sin, b * cos + d * sin, c * cos - a * sin, d * cos - b * sin, e, f];
+ },
+ translate(x, y) {
+ this.matrix[4] += x * this.matrix[0] + y * this.matrix[2];
+ this.matrix[5] += x * this.matrix[1] + y * this.matrix[3];
+ },
+ beginPath() { this.path = []; },
+ rect(...rectangle) { this.path.push(["rect", ...rectangle]); },
+ ellipse(...args) { this.path.push(["ellipse", ...args]); },
+ arc(...args) { this.path.push(["arc", ...args]); },
+ clip() { this.clipping = structuredClone(this.path); },
+ fill(path, rule = "nonzero") {
+ this.stats.vectors++;
+ const commands = structuredClone(path?.commands ?? this.path);
+ this.stats.filledPaths.add(JSON.stringify(commands));
+ this.drawing.push({ op: "fill", path: commands, rule, color: this.fillStyle,
+ alpha: this.globalAlpha, matrix: [...this.matrix] });
+ },
+ stroke(path) {
+ this.stats.vectors++; this.stats.strokes++;
+ this.drawing.push({ op: "stroke", path: path?.commands ?? this.path, color: this.strokeStyle });
+ },
+ };
+ function reset() {
+ context.drawing = []; context.path = []; context.clipping = null;
+ context.globalAlpha = 1; context.globalCompositeOperation = "source-over";
+ context.matrix = [1, 0, 0, 1, 0, 0]; saved.length = 0;
+ }
+ Object.defineProperties(canvas, {
+ width: { get: () => backingWidth, set(value) { backingWidth = value; reset(); } },
+ height: { get: () => backingHeight, set(value) { backingHeight = value; reset(); } },
+ });
+ canvas.context = context; canvas.getContext = () => context; canvases.push(canvas);
+ return canvas;
+ }
+ const documentMock = Object.assign(eventTarget(), { hidden: false, fonts: { ready: fontsReady }, createElement: makeCanvas });
+ function observerClass(kind) {
+ return class {
+ constructor(callback) { this.callback = callback; this.kind = kind; observers.push(this); }
+ observe(target) { this.connected = true; this.target = target; }
+ disconnect() { this.connected = false; }
+ };
+ }
+ const replacements = {
+ document: documentMock, window: windowMock, devicePixelRatio: pixelRatio,
+ Path2D: class {
+ constructor(source) { this.commands = source ? [["svg", source]] : []; }
+ addPath(path) { this.commands.push(...path.commands); }
+ ellipse(...args) { this.commands.push(["ellipse", ...args]); }
+ },
+ getComputedStyle: () => ({ color: "#101114" }),
+ matchMedia: query => query.includes("prefers-reduced-motion") ? motion : hover,
+ ResizeObserver: observerClass("resize"), IntersectionObserver: observerClass("intersection"),
+ requestAnimationFrame(callback) { const id = nextFrame++; frames.set(id, callback); return id; },
+ cancelAnimationFrame(id) { frames.delete(id); },
+ };
+ for (const [name, value] of Object.entries(replacements)) {
+ originals.set(name, Object.getOwnPropertyDescriptor(globalThis, name));
+ Object.defineProperty(globalThis, name, { value, configurable: true, writable: true });
+ }
+ const canvas = makeCanvas();
+ function mount() { const controller = mountClarinet(canvas, hero); controllers.push(controller); return controller; }
+ const controller = mount();
+ const dots = source => source.context.drawing.filter(command => command.op === "pixel");
+ const cache = () => canvas.context.drawing.find(command => command.op === "image")?.source;
+ function snapshot(source = canvas) {
+ return source.context.drawing.map(command => command.op === "image"
+ ? { ...command, source: snapshot(command.source) } : structuredClone(command));
+ }
+ function presented(source = canvas, result = new Set()) {
+ result.add(source);
+ for (const command of source.context.drawing) if (command.op === "image") presented(command.source, result);
+ return result;
+ }
+ function notify(kind, value) {
+ for (const observer of observers.filter(item => item.kind === kind && item.connected)) observer.callback([value]);
+ }
+ return {
+ canvas, hero, controller, mount, frames, observers, canvases, sampledCanvases, copy, markers,
+ get sampleReads() { return sampleReads; },
+ async fonts() { resolveFonts(); await fontsReady; await Promise.resolve(); },
+ frame(now) {
+ const current = [...frames.values()]; frames.clear();
+ for (const callback of current) callback(now);
+ assert.ok(frames.size <= 1, "Only one animation frame may remain scheduled.");
+ },
+ snapshot, presented, cache, dots,
+ body() { return cache() ? dots(cache()) : dots(canvas).slice(0, Number(canvas.dataset.particleCount)); },
+ local() { return dots(canvas).filter(point => point.clipping); },
+ notes() {
+ return canvas.context.drawing.filter(command => command.op === "fill"
+ && notePaths.includes(JSON.stringify(command.path)));
+ },
+ scroll(y) { windowMock.scrollY = y; windowMock.emit("scroll"); },
+ scrollOptions() { return windowMock.options("scroll"); },
+ pointer(x, y) { canvas.emit("pointermove", { pointerType: "mouse", clientX: x, clientY: y }); },
+ leave() { canvas.emit("pointerleave"); },
+ resize(value) { canvas.cssWidth = value; notify("resize", { contentRect: { width: value } }); },
+ windowResize() { windowMock.emit("resize"); },
+ visible(value) { documentMock.hidden = !value; documentMock.emit("visibilitychange"); },
+ inView(value) { notify("intersection", { isIntersecting: value }); },
+ reduced(value) { motion.matches = value; motion.emit("change"); },
+ listenerCount() { return [canvas, documentMock, windowMock, motion, hover].reduce((sum, item) => sum + item.listenerCount(), 0); },
+ dispose() {
+ controllers.forEach(item => item.destroy());
+ for (const [name, descriptor] of originals) {
+ if (descriptor) Object.defineProperty(globalThis, name, descriptor); else delete globalThis[name];
+ }
+ },
+ };
+}
+function advance(h, start = 0, count = 360, hz = 60) {
+ h.frame(start);
+ for (let i = 1; i <= count; i++) h.frame(start + i * 1000 / hz);
+ assert.equal(h.frames.size, 1, "Visible normal-motion particles keep their ambient animation.");
+}
+function assertParticleBodyAndAccents(h) {
+ assert.equal(h.canvas.dataset.renderMode, "particles");
+ const accents = h.canvas.context.drawing.filter(command => command.op === "fill");
+ assert.equal(accents.length, 5, "Only four notes and the single blue node may use solid vector fills.");
+ assert.equal(h.notes().length, 4);
+ assert.equal(h.notes().filter(command => JSON.stringify(command.path) === notePaths[1]).length, 1);
+ const nodes = accents.filter(command => JSON.stringify(command.path) === nodePath);
+ assert.equal(nodes.length, 1); assert.equal(nodes[0].color, "#2200ff");
+ for (const command of h.notes()) assert.ok(["#101114", "#2200ff"].includes(command.color));
+ for (const canvas of h.presented()) {
+ assert.ok(!h.sampledCanvases.has(canvas), "A construction mask must never be copied to the visible scene.");
+ if (canvas === h.canvas) {
+ for (const path of canvas.context.stats.filledPaths) assert.ok([...notePaths, nodePath].includes(path),
+ "The visible canvas never fills an instrument, key, bell, arc or trail path.");
+ assert.equal(canvas.context.stats.strokes, 0, "No visible vector outlines are permitted.");
+ } else assert.equal(canvas.context.stats.vectors, 0, "The instrument cache contains particles only.");
+ assert.equal(canvas.context.stats.gradients, 0, "Presented layers contain no gradients.");
+ for (const point of h.dots(canvas)) {
+ assert.equal(typeof point.color, "string");
+ const maxSize = point.color === "#2200ff" ? Math.round(2.2 * Number(h.canvas.dataset.pixelRatio))
+ / Number(h.canvas.dataset.pixelRatio) : 2.1;
+ assert.ok(point.rectangle[2] > 0 && point.rectangle[2] <= maxSize
+ && point.rectangle[3] > 0 && point.rectangle[3] <= maxSize, "The instrument and dotted arc retain small, separate points.");
+ }
+ }
+}
+
+test("same-size notifications preserve entry without resampling", async t => {
+ const h = harness(); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ const reads = h.sampleReads;
+ assert.equal(h.canvas.dataset.state, "entering");
+ h.resize(240); h.windowResize(); h.resize(240); h.frame(1000 / 60);
+ assert.equal(h.canvas.dataset.state, "entering"); assert.equal(h.sampleReads, reads); assert.equal(h.frames.size, 1);
+});
+
+test("real resize coalesces notifications and restores ready without replaying entry", async t => {
+ const h = harness(); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ const reads = h.sampleReads;
+ h.resize(300); h.windowResize(); h.resize(320); h.frame(1000 / 60);
+ assert.equal(h.canvas.width, 320); assert.equal(h.canvas.dataset.state, "ready");
+ assert.equal(h.sampleReads, reads * 2); assert.ok(h.cache()); advance(h, 1000 / 60);
+});
+
+test("natural entry reaches its complete cache while four notes keep breathing", async t => {
+ const h = harness({ width: 600 }); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ assert.equal(h.canvas.dataset.state, "entering");
+ let frame = 0;
+ while (h.canvas.dataset.state === "entering" && frame < 300) h.frame(++frame * 1000 / 60);
+ assert.equal(h.canvas.dataset.state, "ready"); assert.equal(h.frames.size, 1);
+ assert.equal(h.body().length, Number(h.canvas.dataset.particleCount));
+ assert.equal(h.notes().length, 4); assert.ok(h.notes().every(note => note.alpha > 0));
+ assertParticleBodyAndAccents(h); t.diagnostic("Natural entry settled after " + frame + " active 60 Hz frames.");
+});
+
+test("reduced motion starts complete and toggling it does not replay entry", async t => {
+ const h = harness({ reduced: true }); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ assert.equal(h.canvas.dataset.state, "static"); assert.equal(h.frames.size, 0); assert.ok(h.cache());
+ h.reduced(false); h.frame(1000);
+ assert.equal(h.canvas.dataset.state, "ready"); assert.equal(h.frames.size, 1);
+ h.reduced(true); h.frame(2000);
+ assert.equal(h.canvas.dataset.state, "static"); assert.equal(h.frames.size, 0); assertParticleBodyAndAccents(h);
+});
+
+test("reduced motion during entry immediately settles every point", async t => {
+ const h = harness(); t.after(() => h.dispose()); await h.fonts(); h.frame(0); h.frame(1000 / 60);
+ h.reduced(true); h.frame(2000 / 60);
+ assert.equal(h.canvas.dataset.state, "static"); assert.ok(h.cache()); assert.equal(h.frames.size, 0);
+});
+
+test("scrolling disperses independent points and reverse restores the exact cache", async t => {
+ const h = harness({ width: 350 }); t.after(() => h.dispose()); await h.fonts(); advance(h);
+ const original = h.body(), reads = h.sampleReads;
+ assert.ok(h.scrollOptions().every(options => options.passive === true));
+ h.scroll(430); h.frame(6000);
+ const moved = h.body(); assert.equal(moved.length, original.length);
+ const offsets = moved.map((point, i) => [point.rectangle[0] - original[i].rectangle[0], point.rectangle[1] - original[i].rectangle[1]]);
+ assert.ok(offsets.some(([x, y]) => Math.hypot(x, y) > 3));
+ assert.ok(new Set(offsets.map(([x, y]) => x.toFixed(1) + "," + y.toFixed(1))).size > 5);
+ assert.ok(moved.some(point => point.alpha < 1)); assert.ok(Number(h.copy.style.opacity) < 1);
+ assertParticleBodyAndAccents(h);
+ h.scroll(0); h.frame(7000);
+ assert.equal(h.canvas.dataset.scrollProgress, "0.000"); assert.deepEqual(h.body(), original); assert.equal(h.sampleReads, reads);
+});
+
+test("the first scroll pixel changes no material count or point footprint", async t => {
+ const h = harness({ width: 350 }); t.after(() => h.dispose()); await h.fonts(); advance(h);
+ const original = h.body();
+ h.scroll(1); h.frame(6000);
+ assert.equal(h.body().length, original.length);
+ h.body().forEach((point, i) => {
+ assert.equal(point.color, original[i].color);
+ assert.deepEqual(point.rectangle.slice(2), original[i].rectangle.slice(2));
+ assert.ok(Math.hypot(point.rectangle[0] - original[i].rectangle[0], point.rectangle[1] - original[i].rectangle[1]) < .05);
+ });
+ assertParticleBodyAndAccents(h);
+});
+
+test("reduced motion remains wholly static during scroll and thirty seconds of wall time", async t => {
+ const h = harness({ reduced: true, width: 350 }); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ const original = h.snapshot();
+ h.scroll(600); h.frame(1000); h.frame(30000);
+ assert.equal(h.canvas.dataset.scrollProgress, "0.000");
+ assert.equal(h.copy.style.opacity, "1"); assert.equal(h.markers.style.opacity, "1");
+ assert.deepEqual(h.snapshot(), original); assert.equal(h.frames.size, 0);
+});
+
+test("local hover repaints a bounded region without rebuilding masks or the stable cache", async t => {
+ const h = harness({ width: 720, pixelRatio: 3 }); t.after(() => h.dispose()); await h.fonts(); advance(h);
+ const cache = h.cache(), writes = cache.context.stats.pixels, reads = h.sampleReads;
+ h.pointer(720 * .59, 720 * 1223 / 1286 * .42); advance(h, 6000, 30);
+ assert.ok(h.local().length > 0);
+ const cleared = h.canvas.context.drawing.filter(command => command.op === "clear");
+ assert.ok(cleared.some(command => command.rectangle[2] < 720 && command.rectangle[3] < 720 * 1223 / 1286));
+ assert.equal(cache.context.stats.pixels, writes); assert.equal(h.sampleReads, reads); assertParticleBodyAndAccents(h);
+});
+
+test("activating nearby cells does not shift stationary neighbors by half a pixel", async t => {
+ const width = 720;
+ const h = harness({ width, pixelRatio: 3 }); t.after(() => h.dispose()); await h.fonts(); advance(h);
+ const pointer = { x: width * .58 - 30, y: width * 1223 / 1286 * .42 };
+ const neighbors = h.body().filter(point => {
+ const [x, y, w, height] = point.rectangle;
+ const distance = Math.hypot(x + w / 2 - pointer.x, y + height / 2 - pointer.y);
+ return distance > 42 * width / 600 + 2 && distance < 54 * width / 600 - 2;
+ });
+ assert.ok(neighbors.length > 0, "The fixture includes activated points outside the repulsion radius.");
+ h.pointer(pointer.x, pointer.y);
+ for (const time of [6000 + 1000 / 120, 6000 + 1000 / 60]) {
+ h.frame(time);
+ for (const point of neighbors) assert.ok(h.local().some(candidate => candidate.color === point.color
+ && JSON.stringify(rounded(candidate.rectangle)) === JSON.stringify(rounded(point.rectangle))),
+ "Switching a stationary neighbor from cached to interpolated drawing preserves its exact footprint.");
+ }
+});
+
+test("native and fractional DPR keep static dots sharp and leave transparent spaces", async () => {
+ for (const pixelRatio of [1, 1.25, 2, 3]) {
+ const h = harness({ reduced: true, width: 600, pixelRatio });
+ try {
+ await h.fonts(); h.frame(0); assert.equal(Number(h.canvas.dataset.pixelRatio), pixelRatio);
+ for (const point of h.body()) assert.ok(point.rectangle.every(value => Math.abs(value * pixelRatio - Math.round(value * pixelRatio)) < 1e-8));
+ const image = h.canvas.context.drawing.find(command => command.op === "image");
+ assert.deepEqual(image.args, [0, 0]); assert.deepEqual(image.matrix, [1, 0, 0, 1, 0, 0]);
+ const region = h.body().filter(point => point.rectangle[0] > 600 * .58 && point.rectangle[0] < 600 * .62
+ && point.rectangle[1] > 600 * 1223 / 1286 * .4 && point.rectangle[1] < 600 * 1223 / 1286 * .45);
+ assert.ok(region.length > 0);
+ const area = region.reduce((sum, point) => sum + point.rectangle[2] * point.rectangle[3], 0);
+ assert.ok(area < 600 * .04 * (600 * 1223 / 1286 * .05) * .8,
+ "A sampled body patch retains visible space between point footprints.");
+ assertParticleBodyAndAccents(h);
+ } finally { h.dispose(); }
+ }
+});
+
+test("wide-stage pointer recovery returns exactly to canonical points", async t => {
+ const h = harness({ width: 720 }); t.after(() => h.dispose()); await h.fonts(); advance(h);
+ const canonical = h.body();
+ h.pointer(720 * .59 - 3, 720 * 1223 / 1286 * .42 + 3); advance(h, 6000, 90);
+ assert.ok(h.local().length > 0);
+ h.leave(); advance(h, 7500, 180);
+ assert.equal(h.local().length, 0); assert.deepEqual(h.body(), canonical); assert.equal(h.canvas.dataset.state, "ready");
+});
+
+test("instrument points have no vector underlay while only four notes and one node use solid fills", async t => {
+ const h = harness({ width: 600, pixelRatio: 4 }); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ assert.equal(h.canvas.dataset.pixelRatio, "3"); assertParticleBodyAndAccents(h);
+ advance(h); assertParticleBodyAndAccents(h);
+ assert.ok(new Set(h.body().map(point => point.color)).size >= 3, "The fixture exercises ink, gray and blue particles.");
+ h.pointer(600 * .59, 600 * 1223 / 1286 * .42); advance(h, 6000, 10); assertParticleBodyAndAccents(h);
+ h.scroll(430); h.frame(7000); assertParticleBodyAndAccents(h);
+});
+
+test("construction buffers release their stores and visibility tracks the full hero", async t => {
+ const h = harness({ reduced: true }); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ assert.equal(h.observers.find(observer => observer.kind === "intersection").target, h.hero);
+ assert.equal(h.sampledCanvases.size, 3, "Only the three private instrument masks are sampled.");
+ assert.ok([...h.sampledCanvases].every(canvas => canvas.width === 1 && canvas.height === 1));
+ assert.ok([...h.sampledCanvases].every(canvas => !h.presented().has(canvas)));
+});
+
+test("four solid notes still move after ten and thirty seconds while body homes remain fixed", async t => {
+ const h = harness(); t.after(() => h.dispose()); await h.fonts(); advance(h, 0, 600);
+ const canonical = h.body(), cache = h.cache(), writes = cache.context.stats.pixels;
+ for (const [start, count] of [[10000, 30], [10500, 1170], [30000, 30]]) {
+ const before = h.notes(); assert.equal(before.length, 4);
+ advance(h, start, count);
+ assert.ok(h.notes().every((group, i) => JSON.stringify(group) !== JSON.stringify(before[i])));
+ assert.deepEqual(h.body(), canonical); assert.equal(cache.context.stats.pixels, writes);
+ }
+});
+
+test("120 and 144 Hz intermediate RAF frames interpolate local motion", async () => {
+ for (const hz of [120, 144]) {
+ const h = harness({ width: 720, pixelRatio: 3 });
+ try {
+ await h.fonts(); advance(h);
+ h.pointer(720 * .59 - 2, 720 * 1223 / 1286 * .42);
+ advance(h, 6000, 5, 60);
+ const before = h.local();
+ h.frame(6000 + 5 * 1000 / 60 + 1000 / hz);
+ assert.ok(before.length > 0);
+ assert.notDeepEqual(h.local(), before, "A frame without another full simulation step must still update displayed positions.");
+ assertParticleBodyAndAccents(h);
+ } finally { h.dispose(); }
+ }
+});
+
+test("hidden and offscreen suspension preserves fractional-frame entry and ambient phases", async () => {
+ for (const mode of ["visible", "inView"]) for (const hz of [60, 120, 144]) {
+ for (const count of [25, hz * 10 + 1]) {
+ const h = harness({ width: 600 });
+ try {
+ await h.fonts(); advance(h, 0, count, hz);
+ const before = rounded(h.snapshot());
+ h[mode](false); assert.equal(h.frames.size, 0); h.frame(120000);
+ assert.deepEqual(rounded(h.snapshot()), before);
+ h[mode](true); h.frame(120000);
+ assert.deepEqual(rounded(h.snapshot()), before, "Resume must preserve the visible fractional-step pose and musical phase.");
+ assert.equal(h.frames.size, 1);
+ } finally { h.dispose(); }
+ }
+ }
+});
+
+test("destroy cancels RAF, observers and listeners across remounts", async t => {
+ const h = harness(); t.after(() => h.dispose()); await h.fonts(); h.frame(0);
+ const listeners = h.listenerCount(); assert.ok(listeners > 0);
+ h.controller.destroy();
+ assert.equal(h.frames.size, 0); assert.equal(h.listenerCount(), 0); assert.ok(h.observers.every(observer => !observer.connected));
+ const next = h.mount(); await Promise.resolve(); h.frame(1000);
+ assert.equal(h.listenerCount(), listeners); assert.equal(h.frames.size, 1);
+ next.destroy(); assert.equal(h.frames.size, 0); assert.equal(h.listenerCount(), 0);
+});
+
+test("late font completion after destroy cannot rebuild or schedule", async t => {
+ const h = harness(); t.after(() => h.dispose()); h.controller.destroy(); await h.fonts();
+ h.resize(320); h.windowResize(); h.visible(true); h.reduced(true);
+ assert.equal(h.frames.size, 0); assert.equal(h.listenerCount(), 0); assert.equal(h.sampleReads, 0);
+ assert.equal(h.canvas.dataset.rendered, undefined);
+});
+
diff --git a/website/tests/clarinet-physics.test.mjs b/website/tests/clarinet-physics.test.mjs
new file mode 100644
index 0000000..e50b08d
--- /dev/null
+++ b/website/tests/clarinet-physics.test.mjs
@@ -0,0 +1,207 @@
+import assert from "node:assert/strict";
+import test from "node:test";
+import {
+ createClock,
+ freezeInterpolation,
+ seededRandom,
+ stepParticles,
+} from "../app/components/clarinet-hero/physics.ts";
+
+function particle(overrides = {}) {
+ const p = {
+ homeX: 100, homeY: 200, x: 100, y: 200, vx: 0, vy: 0,
+ mobility: 1, maxOffset: 14, delay: 0,
+ ...overrides,
+ };
+ return { ...p, previousX: p.previousX ?? p.x, previousY: p.previousY ?? p.y };
+}
+
+function displayedPosition(p, alpha) {
+ const previousX = p.previousX ?? p.x;
+ const previousY = p.previousY ?? p.y;
+ return {
+ x: previousX + (p.x - previousX) * alpha,
+ y: previousY + (p.y - previousY) * alpha,
+ };
+}
+
+function runAtRate(hz) {
+ const clock = createClock();
+ const particles = [particle(), particle({ homeX: 400, x: 400 })];
+ let steps = 0;
+ const simulate = (time) => {
+ stepParticles(particles, time <= 0.5 ? { x: 102, y: 202 } : null, 1, "ready", time);
+ };
+ for (let frame = 0; frame <= hz * 3; frame += 1) {
+ steps += clock.advance((frame / hz) * 1000, simulate).steps;
+ }
+ return { steps, particles, time: clock.animationTime };
+}
+
+test("normal 60, 120 and 144 Hz RAF sequences produce identical simulation and recovery", () => {
+ const baseline = runAtRate(60);
+ assert.equal(baseline.steps, 180);
+ assert.equal(baseline.time, 3);
+ assert.deepEqual(runAtRate(120), baseline);
+ assert.deepEqual(runAtRate(144), baseline);
+ assert.ok(Math.hypot(baseline.particles[0].x - 100, baseline.particles[0].y - 200) < 0.00001);
+});
+
+test("120 and 144 Hz displays move between fixed steps instead of repeating 60 Hz positions", () => {
+ for (const hz of [120, 144]) {
+ const clock = createClock();
+ const p = particle({ x: 114 });
+ let previousDisplay = displayedPosition(p, 0);
+ let intermediateFrames = 0;
+ for (let frame = 0; frame <= 12; frame += 1) {
+ const result = clock.advance(frame * 1000 / hz, time => {
+ stepParticles([p], null, 1, "ready", time);
+ });
+ const displayed = displayedPosition(p, result.interpolation);
+ assert.equal(result.interpolation, clock.interpolation);
+ assert.equal(result.displayTime, clock.displayTime);
+ assert.ok(Math.abs(result.displayTime - frame / hz) < 1e-10);
+ assert.ok(displayed.x >= Math.min(p.previousX, p.x) - 1e-10);
+ assert.ok(displayed.x <= Math.max(p.previousX, p.x) + 1e-10);
+ if (frame >= 3 && result.steps === 0) {
+ assert.ok(Math.abs(displayed.x - previousDisplay.x) > 0.001, `${hz} Hz repeated a moving position`);
+ assert.ok(result.interpolation > 0 && result.interpolation < 1);
+ intermediateFrames += 1;
+ }
+ previousDisplay = displayed;
+ }
+ assert.ok(intermediateFrames >= 4);
+ }
+});
+
+test("hiding between steps preserves the displayed frame and physics momentum on return", () => {
+ const clock = createClock();
+ const p = particle({ x: 114, y: 205 });
+ const simulate = time => stepParticles([p], null, 1, "ready", time);
+ clock.advance(0, simulate);
+ clock.advance(25, simulate);
+ const beforeHide = displayedPosition(p, clock.interpolation);
+ const simulationBeforeHide = { x: p.x, y: p.y, vx: p.vx, vy: p.vy };
+ const activeTime = clock.animationTime;
+ const displayTime = clock.displayTime;
+ freezeInterpolation([p], clock.interpolation);
+ clock.reset();
+ assert.equal(clock.interpolation, 0);
+ assert.equal(clock.animationTime, activeTime);
+ assert.equal(clock.displayTime, displayTime);
+ assert.deepEqual({ x: p.x, y: p.y, vx: p.vx, vy: p.vy }, simulationBeforeHide);
+ assert.equal(clock.advance(900000, simulate).steps, 0);
+ assert.equal(clock.displayTime, displayTime);
+ assert.deepEqual(displayedPosition(p, clock.interpolation), beforeHide);
+ clock.advance(900000 + 1000 / 120, simulate);
+ const afterResume = displayedPosition(p, clock.interpolation);
+ assert.ok(afterResume.x < beforeHide.x && afterResume.x > p.x);
+ assert.ok(afterResume.y < beforeHide.y && afterResume.y > p.y);
+ assert.deepEqual({ x: p.x, y: p.y, vx: p.vx, vy: p.vy }, simulationBeforeHide);
+});
+
+test("fractional 120 and 144 Hz suspension preserves ambient phase without reset drift", () => {
+ for (const hz of [120, 144]) {
+ const clock = createClock();
+ const simulate = () => {};
+ let expectedDisplayTime = 0;
+ let epoch = 0;
+ for (let pause = 0; pause < 20; pause += 1) {
+ clock.advance(epoch, simulate);
+ // Three frames are fractional at both 120 and 144 Hz.
+ const activeMs = 3 * 1000 / hz;
+ clock.advance(epoch + activeMs, simulate);
+ expectedDisplayTime += activeMs / 1000;
+ const phase = Math.sin(clock.displayTime * 2.6);
+ assert.ok(clock.interpolation > 0);
+ for (let repeat = 0; repeat < 4; repeat += 1) clock.reset();
+ assert.equal(clock.interpolation, 0);
+ assert.equal(Math.sin(clock.displayTime * 2.6), phase);
+ assert.ok(Math.abs(clock.displayTime - expectedDisplayTime) < 1e-10);
+ epoch += activeMs + 60000;
+ assert.equal(clock.advance(epoch, simulate).steps, 0);
+ assert.equal(Math.sin(clock.displayTime * 2.6), phase);
+ }
+ }
+});
+
+test("long frames are capped and visibility reset excludes hidden time", () => {
+ const clock = createClock();
+ const visitedTimes = [];
+ const visit = (time) => visitedTimes.push(time);
+ clock.advance(0, visit);
+ assert.equal(clock.advance(10000, visit).steps, 5);
+ assert.equal(visitedTimes.length, 5);
+ const beforePause = clock.animationTime;
+ clock.reset();
+ assert.equal(clock.advance(400000, visit).steps, 0);
+ assert.equal(clock.animationTime, beforePause);
+ assert.equal(clock.advance(400000 + 1000 / 60, visit).steps, 1);
+ assert.equal(visitedTimes.length, 6);
+});
+
+test("entry delays and large initial displacements survive until the spring brings them home", () => {
+ const p = particle({ x: -200, y: 400, delay: 0.3 });
+ const initial = { ...p };
+ stepParticles([p], null, 1, "entering", 0.2);
+ assert.deepEqual(p, initial);
+ stepParticles([p], { x: p.x + 1, y: p.y }, 1, "entering", 0.3);
+ assert.ok(Math.hypot(p.x - p.homeX, p.y - p.homeY) > p.maxOffset * 10);
+ for (let i = 1; i <= 240; i += 1) stepParticles([p], null, 1, "entering", 0.3 + i / 60);
+ assert.ok(Math.hypot(p.x - p.homeX, p.y - p.homeY) < 0.000001);
+});
+
+test("delayed entry refreshes stale interpolation without starting the spring early", () => {
+ const p = particle({ x: -200, y: 400, previousX: -500, previousY: 900, delay: .3 });
+ stepParticles([p], null, 1, "entering", .2);
+ assert.deepEqual(displayedPosition(p, .6), { x: -200, y: 400 });
+ assert.deepEqual([p.x, p.y, p.vx, p.vy], [-200, 400, 0, 0]);
+ stepParticles([p], null, 1, "entering", .3);
+ assert.deepEqual(displayedPosition(p, 0), { x: -200, y: 400 });
+ assert.ok(displayedPosition(p, .5).x > -200);
+});
+
+test("repulsion is local, bounded, finite at pointer coincidence, and fully returns", () => {
+ const near = particle();
+ const distant = particle({ homeX: 400, x: 400 });
+ const originalDistant = { ...distant };
+ for (let i = 1; i <= 120; i += 1) {
+ stepParticles([near, distant], { x: 101, y: 202 }, 1, "ready", i / 60);
+ assert.ok(Math.hypot(near.x - near.homeX, near.y - near.homeY) <= near.maxOffset + 1e-10);
+ }
+ assert.ok(Math.hypot(near.x - near.homeX, near.y - near.homeY) > 3);
+ assert.deepEqual(distant, originalDistant);
+ stepParticles([near], { x: near.x, y: near.y }, 1, "ready", 3);
+ assert.ok([near.x, near.y, near.vx, near.vy].every(Number.isFinite));
+ for (let i = 0; i < 240; i += 1) stepParticles([near], null, 1, "ready", 3 + i / 60);
+ assert.ok(Math.hypot(near.x - near.homeX, near.y - near.homeY) < 0.000001);
+ assert.ok(Math.hypot(near.vx, near.vy) < 0.000001);
+});
+
+test("the ready displacement boundary removes outward velocity without reversing it", () => {
+ const p = particle({ x: 113, vx: 10, vy: 2 });
+ stepParticles([p], null, 1, "ready", 1);
+ const dx = p.x - p.homeX;
+ const dy = p.y - p.homeY;
+ assert.ok(Math.abs(Math.hypot(dx, dy) - 14) < 1e-10);
+ assert.ok(Math.abs(p.vx * dx + p.vy * dy) < 1e-10);
+ assert.ok(Math.hypot(p.vx, p.vy) > 0);
+});
+
+test("static mode immediately restores an entering or scattered field", () => {
+ const p = particle({ x: -90, y: 5, vx: 2, vy: -4, delay: 10 });
+ stepParticles([p], { x: 100, y: 200 }, 1, "static", 0);
+ assert.deepEqual([p.x, p.y, p.vx, p.vy], [p.homeX, p.homeY, 0, 0]);
+ assert.deepEqual(displayedPosition(p, 0), { x: p.homeX, y: p.homeY });
+ assert.deepEqual(displayedPosition(p, .5), { x: p.homeX, y: p.homeY });
+});
+
+test("fixed seeds reproduce entry samples without producing out-of-range values", () => {
+ const a = seededRandom(13);
+ const b = seededRandom(13);
+ const c = seededRandom(14);
+ const sequence = Array.from({ length: 128 }, a);
+ assert.deepEqual(Array.from({ length: 128 }, b), sequence);
+ assert.notDeepEqual(Array.from({ length: 128 }, c), sequence);
+ assert.ok(sequence.every((value) => value >= 0 && value < 1));
+});
diff --git a/website/tests/dither-motion.test.mjs b/website/tests/dither-motion.test.mjs
deleted file mode 100644
index b925660..0000000
--- a/website/tests/dither-motion.test.mjs
+++ /dev/null
@@ -1,135 +0,0 @@
-import assert from "node:assert/strict";
-import { readFile } from "node:fs/promises";
-import path from "node:path";
-import test from "node:test";
-import ts from "typescript";
-
-const ROOT = path.resolve(import.meta.dirname, "..");
-
-async function loadMotion() {
- const source = await readFile(
- path.join(ROOT, "app", "components", "dithered-entrance", "dither-motion.ts"),
- "utf8",
- );
- const { outputText } = ts.transpileModule(source, {
- compilerOptions: {
- module: ts.ModuleKind.ESNext,
- target: ts.ScriptTarget.ES2022,
- },
- });
- return import(`data:text/javascript;base64,${Buffer.from(outputText).toString("base64")}`);
-}
-
-async function loadMask() {
- const source = await readFile(
- path.join(ROOT, "app", "components", "dithered-entrance", "dither-mask.ts"),
- "utf8",
- );
- const { outputText } = ts.transpileModule(source, {
- compilerOptions: {
- module: ts.ModuleKind.ESNext,
- target: ts.ScriptTarget.ES2022,
- },
- });
- return import(`data:text/javascript;base64,${Buffer.from(outputText).toString("base64")}`);
-}
-
-test("the Canvas wordmark uses the shared Inter family and retains its balanced composition", async () => {
- const { createBalancedDitherField } = await loadMask();
- const originalDocument = globalThis.document;
- const originalGetComputedStyle = globalThis.getComputedStyle;
- const renderedWords = [];
- const context = {
- font: "",
- clearRect() {},
- measureText(text) { return { width: Number.parseFloat(this.font.split(" ")[1]) * text.length * 0.625 }; },
- fillText(text, x, y) { renderedWords.push({ text, x, y, font: this.font }); },
- getImageData() { return { data: new Uint8ClampedArray(100 * 100 * 4) }; },
- };
- globalThis.document = {
- documentElement: {},
- createElement() { return { getContext() { return context; } }; },
- };
- globalThis.getComputedStyle = () => ({ getPropertyValue() { return '"Inter", sans-serif'; } });
- try {
- createBalancedDitherField(100);
- assert.deepEqual(renderedWords, [
- { text: "THEODORE", x: 50, y: 40.5, font: '800 17px "Inter", sans-serif' },
- { text: "OUYANG", x: 50, y: 61, font: '800 23.5px "Inter", sans-serif' },
- ]);
- } finally {
- if (originalDocument === undefined) delete globalThis.document;
- else globalThis.document = originalDocument;
- if (originalGetComputedStyle === undefined) delete globalThis.getComputedStyle;
- else globalThis.getComputedStyle = originalGetComputedStyle;
- }
-});
-
-test("the dither interaction uses restrained motion values", async () => {
- const { DITHER_MOTION } = await loadMotion();
- assert.deepEqual(DITHER_MOTION, {
- repelRadius: 100,
- maximumDisplacement: 40,
- recovery: 0.12,
- velocityRetention: 0.72,
- rippleSpeed: 225,
- rippleWidth: 37,
- rippleStrength: 20,
- rippleDuration: 675,
- maximumRipples: 4,
- readyDuration: 800,
- });
-});
-
-test("repulsion uses a bounded cubic falloff", async () => {
- const { cubicFalloff } = await loadMotion();
- assert.equal(cubicFalloff(0, 100), 1);
- assert.equal(cubicFalloff(100, 100), 0);
- assert.equal(cubicFalloff(200, 100), 0);
- assert.ok(Math.abs(cubicFalloff(50, 100) - 0.125) < 1e-12);
- assert.ok(cubicFalloff(25, 100) > cubicFalloff(50, 100));
-});
-
-test("the return spring converges without leaving residual movement", async () => {
- const { integrateSpringAxis } = await loadMotion();
- let value = 40;
- let velocity = 0;
- for (let frame = 0; frame < 180; frame += 1) {
- [value, velocity] = integrateSpringAxis(value, velocity, 0);
- }
- assert.ok(Math.abs(value) < 0.001);
- assert.ok(Math.abs(velocity) < 0.001);
-});
-
-test("Canvas2D lifecycle stops at idle and honors reduced motion", async () => {
- const component = await readFile(
- path.join(ROOT, "app", "components", "dithered-entrance", "DitheredEntrance.tsx"),
- "utf8",
- );
- const mask = await readFile(
- path.join(ROOT, "app", "components", "dithered-entrance", "dither-mask.ts"),
- "utf8",
- );
- for (const contract of [
- 'getContext("2d")',
- "Float32Array",
- "ResizeObserver",
- "requestAnimationFrame",
- 'matchMedia("(prefers-reduced-motion: reduce)")',
- "Math.min(2, window.devicePixelRatio",
- "pointermove",
- "pointerenter",
- "pointerleave",
- "pointerup",
- "pointercancel",
- "ripples.length > 0 || stillMoving",
- ]) assert.ok(`${component}\n${mask}`.includes(contract), `Missing dither lifecycle contract: ${contract}`);
- assert.doesNotMatch(component, /pointerActive \|\| ripples\.length/u);
- assert.match(component, /useRef/u);
- assert.match(component, /setPointerCapture/u);
- assert.match(component, /motionQuery\.addListener/u);
- assert.match(component, /stage\.addEventListener\("click", onKeyboardActivate\)/u);
- assert.match(mask, /"THEODORE"[\s\S]*?"OUYANG"/u);
- assert.match(mask, /size \* 0\.17/u);
- assert.match(mask, /size \* 0\.235/u);
-});
diff --git a/website/tests/rendered-html.test.mjs b/website/tests/rendered-html.test.mjs
index 6662141..de3008e 100644
--- a/website/tests/rendered-html.test.mjs
+++ b/website/tests/rendered-html.test.mjs
@@ -7,6 +7,7 @@ import { fileURLToPath } from "node:url";
import sharp from "sharp";
import { secureStaticHtml } from "../scripts/secure-static-html.mjs";
import { courseworkGroups } from "../app/lib/content/about.ts";
+import { BEAMED_NOTE, NODE, NOTE } from "../app/components/clarinet-hero/shape.ts";
const ROOT = fileURLToPath(new URL("../", import.meta.url));
const REPOSITORY_ROOT = path.dirname(ROOT.replace(/[\\/]$/u, ""));
@@ -447,15 +448,79 @@ test("all 27 detail pages keep their wordmark and a direct parent link outside t
}
});
-test("About retains its interactive name entrance before the combined profile", async () => {
+test("About opens with its accessible clarinet hero before the retained profile", async () => {
const home = await routeHtml("/");
assert.equal(openingTags(home, "canvas").length, 1);
- assert.match(home, /data-state="loading"/u);
+ assert.equal(attribute(openingTags(home, "canvas")[0], "aria-hidden"), "true");
assert.ok(home.indexOf("]*>Scroll<\/a>/u);
+ const hero = home.match(/]*aria-labelledby="hero-name"[^>]*>([\s\S]*?)<\/section>/u)?.[1];
+ assert.ok(hero, "The hero retains a named section.");
+ assert.equal(openingTags(hero, "a").length, 0, "The hero has no call-to-action link.");
+ assert.equal(openingTags(hero, "button").length, 0, "The hero has no playback control.");
+ assert.doesNotMatch(stripMarkup(hero), /Explore my work|Pause animation|Play animation/u);
const heading = home.match(/]*>([\s\S]*?)<\/h1>/u);
assert.ok(heading);
- assert.equal(stripMarkup(heading[1]), "Thinking mathematically Working in AI");
+ assert.equal(openingTags(home, "h1").length, 1);
+ assert.equal(stripMarkup(heading[1]), "Theodore Ouyang");
+ assert.match(stripMarkup(hero), /Duke alumnus/u);
+ assert.match(stripMarkup(hero), /Sequoia Fellow/u);
+ const cornerTags = [...hero.matchAll(/<[a-z][\w:-]*\b[^>]*>/gu)]
+ .map(match => match[0]).filter(tag => (attribute(tag, "class") ?? "").split(/\s+/u)
+ .some(name => /_corner(?:TL|TR|BL|BR)$/u.test(name)));
+ assert.equal(cornerTags.length, 4, "All four decorative corner marks remain visible in the HTML.");
+ for (const tag of cornerTags) assert.equal(attribute(tag, "aria-hidden"), "true");
+ assert.ok(openingTags(home, "svg").some((tag) => attribute(tag, "viewBox") === "0 0 1286 1223"),
+ "The clarinet remains available as an inline SVG fallback at its original aspect ratio.");
+ const fallback = hero.match(/]*>[\s\S]*?<\/svg>/u)?.[0];
+ assert.ok(fallback);
+ assert.doesNotMatch(fallback, /<(?:linearGradient|radialGradient|image)\b/u,
+ "The loading and no-JavaScript fallback must not flash a solid gradient or bitmap.");
+ const patterns = [...fallback.matchAll(/]*)>([\s\S]*?)<\/pattern>/gu)];
+ assert.ok(patterns.length >= 2, "The fallback uses transparent dot patterns for its materials.");
+ const patternIds = new Set();
+ for (const [, attributes, body] of patterns) {
+ patternIds.add(attribute(attributes, "id"));
+ const width = Number(attribute(attributes, "width"));
+ const height = Number(attribute(attributes, "height"));
+ assert.equal(attribute(attributes, "patternUnits"), "userSpaceOnUse");
+ const dots = openingTags(body, "rect");
+ assert.equal(dots.length, 1);
+ assert.ok(Number(attribute(dots[0], "width")) > 0 && Number(attribute(dots[0], "width")) < width);
+ assert.ok(Number(attribute(dots[0], "height")) > 0 && Number(attribute(dots[0], "height")) < height,
+ "Each tile leaves a transparent gap between particles.");
+ }
+ const visibleFallback = fallback.replace(/]*>[\s\S]*?<\/defs>/gu, "");
+ const visibleGeometry = ["path", "ellipse", "rect"].flatMap(name => openingTags(visibleFallback, name));
+ const accents = visibleGeometry.filter(tag => attribute(tag, "data-clarinet-accent") !== undefined);
+ assert.equal(accents.length, 5, "Only four notes and the single blue node may be solid.");
+ const notes = accents.filter(tag => attribute(tag, "data-clarinet-accent") === "note");
+ const nodes = accents.filter(tag => attribute(tag, "data-clarinet-accent") === "node");
+ assert.equal(notes.length, 4); assert.equal(nodes.length, 1);
+ assert.equal(notes.filter(tag => attribute(tag, "d") === BEAMED_NOTE).length, 1);
+ for (const tag of notes) {
+ assert.match(tag, /^ attribute(tag, "data-clarinet-accent") === undefined)) {
+ for (const paint of ["fill", "stroke"]) {
+ const value = attribute(tag, paint);
+ if (paint === "stroke" && value === undefined) continue;
+ assert.ok(value === "none" || patternIds.has(value?.match(/^url\(#([^)]*)\)$/u)?.[1]),
+ "Instrument, keywork and arc geometry must paint only separated dots, with no solid underlay or outline.");
+ }
+ }
+ const ringDots = openingTags(visibleFallback, "path").find(tag => attribute(tag, "fill-rule") === "evenodd");
+ assert.ok(ringDots, "The fallback preserves the six ring keys and the bell rim as point fields.");
+ assert.equal((attribute(ringDots, "d").match(/Z/gu) ?? []).length, 14,
+ "Six ring keys and one bell rim each retain an inner and outer contour.");
+ const profileHeading = home.match(/]*id="home-heading"[^>]*>([\s\S]*?)<\/h2>/u);
+ assert.equal(stripMarkup(profileHeading?.[1] ?? ""), "Thinking mathematically Working in AI");
assert.match(home, /About \| Theodore Ouyang<\/title>/u);
assert.match(home, /id="home-profile"/u);
for (const index of ["01", "02", "03", "04"]) {
@@ -512,11 +577,11 @@ test("Experience compatibility pages share the unified text-focused page", async
}
});
-test("About research titles link to complete papers with their source links preserved", async () => {
+test("About research uses explicit Read More links with complete papers and source links preserved", async () => {
const about = await routeHtml("/");
assert.ok(about.indexOf('id="selected-research"') < about.indexOf('id="education"'));
assert.ok(about.indexOf('id="education"') < about.indexOf('id="coursework"'));
- assert.doesNotMatch(about, /I developed|Developed a mathematical framework for certifying|Read more about Certified/u);
+ assert.doesNotMatch(about, /I developed|Developed a mathematical framework for certifying/u);
const researchEntries = [...about.matchAll(/<article\b[^>]*id="([^"]+)"[^>]*>[\s\S]*?<\/article>/gu)].map((match) => match[1]).filter((id) => id.startsWith("critical-dependence-") || id.startsWith("certified-"));
assert.deepEqual(researchEntries, ["critical-dependence-stress-for-portfolio-diversification", "certified-valuation-arithmetic-asian-options", "certified-rough-heston-valuation"]);
for (const [slug, title, description, tables, sections, repository] of [
@@ -531,9 +596,15 @@ test("About research titles link to complete papers with their source links pres
const entry = about.match(new RegExp(`<article\\b[^>]*id="${slug}"[^>]*>([\\s\\S]*?)</article>`, "u"))?.[1] ?? "";
const researchLink = entry.match(/<a\b([^>]*)>([\s\S]*?)<\/a>/u);
assert.equal(attribute(researchLink?.[1] ?? "", "href"), `/education/${slug}/`);
- assert.equal(attribute(researchLink?.[1] ?? "", "aria-labelledby"), `${slug}-title`);
- assert.equal(stripMarkup(elementHtmlById(researchLink?.[2] ?? "", `${slug}-title`)), title);
- assert.ok(stripMarkup(researchLink?.[2] ?? "").includes(description), "The manuscript link includes its summary so the complete row is actionable.");
+ assert.equal(stripMarkup(researchLink?.[2] ?? ""), "Read More");
+ assert.equal(attribute(researchLink?.[1] ?? "", "aria-label"), `Read more about ${title}`);
+ assert.equal(stripMarkup(elementHtmlById(entry, `${slug}-title`)), title);
+ assert.doesNotMatch(researchLink?.[2] ?? "", /<(?:h3|p)\b/u,
+ "The manuscript action is separate from its static title and summary.");
+ assert.doesNotMatch(researchLink?.[1] ?? "", /\bonclick\s*=|role="button"/iu,
+ "Read More remains a native navigation link.");
+ assert.equal(openingTags(researchLink?.[2] ?? "", "svg").length, 1);
+ assert.equal(attribute(openingTags(researchLink?.[2] ?? "", "svg")[0], "aria-hidden"), "true");
assert.equal(openingTags(entry, "a").length, 1);
const article = await routeHtml(`/education/${slug}/`);
assert.equal(openingTags(article, "h1").length, 1);
@@ -815,7 +886,11 @@ test("About preserves both degrees and the advisor record while linking to all 4
const coursework = elementHtmlById(education, "coursework");
const courseworkLink = coursework.match(/<a\b([^>]*)>([\s\S]*?)<\/a>/u);
assert.equal(attribute(courseworkLink?.[1] ?? "", "href"), "/coursework/");
- assert.equal(stripMarkup(courseworkLink?.[2] ?? ""), "View Coursework");
+ assert.equal(stripMarkup(courseworkLink?.[2] ?? ""), "Read More");
+ assert.equal(attribute(courseworkLink?.[1] ?? "", "aria-label"), "Read more about coursework");
+ assert.doesNotMatch(courseworkLink?.[1] ?? "", /\bonclick\s*=|role="button"/iu);
+ assert.equal(openingTags(courseworkLink?.[2] ?? "", "svg").length, 1);
+ assert.equal(attribute(openingTags(courseworkLink?.[2] ?? "", "svg")[0], "aria-hidden"), "true");
assert.equal(openingTags(education, "details").length, 0, "The Education control navigates to a separate page.");
assert.equal(elementsWithClass(html, "ul", "course-list").length, 0, "Course lists must not consume space on About.");
for (const course of courseworkGroups.flatMap((group) => group.courses)) {
@@ -826,7 +901,8 @@ test("About preserves both degrees and the advisor record while linking to all 4
assert.ok(text.includes(record), `${route} is missing ${record}`);
}
assert.equal((text.match(/Duke University/gu) ?? []).length, 1);
- assert.doesNotMatch(text, /Sequoia Fellow/u);
+ assert.doesNotMatch(stripMarkup(education), /Sequoia Fellow/u,
+ "The fellowship belongs in the hero, not among degree records.");
assert.doesNotMatch(text, /highest-tier merit awards/u);
}
@@ -911,6 +987,7 @@ test("the production design contract is restrained and dependency-light", async
const globals = await readFile(path.join(ROOT, "app", "globals.css"), "utf8");
const home = await readFile(path.join(ROOT, "app", "home.module.css"), "utf8");
const homePage = await readFile(path.join(ROOT, "app", "page.tsx"), "utf8");
+ const hero = await readFile(path.join(ROOT, "app", "components", "clarinet-hero", "ClarinetHero.module.css"), "utf8");
const navigation = await readFile(path.join(ROOT, "app", "components", "SiteNavigation.tsx"), "utf8");
const structuralGrid = await readFile(path.join(ROOT, "app", "components", "StructuralGrid.tsx"), "utf8");
const layout = await readFile(path.join(ROOT, "app", "layout.tsx"), "utf8");
@@ -918,7 +995,15 @@ test("the production design contract is restrained and dependency-light", async
for (const token of ["--page: #f7f6f5", "--ink: #0b0b0b", "--muted: #70706c", "--accent: #2200ff", "repeat(3, minmax(calc(var(--rail-min-width) / 3), 1fr)) repeat(12, minmax(0, 1fr))"]) assert.ok(globals.includes(token));
assert.doesNotMatch(globals, /box-shadow|backdrop-filter/u);
assert.doesNotMatch(home, /box-shadow|backdrop-filter|linear-gradient/u);
- assert.match(homePage, /<DitheredEntrance \/>/u);
+ assert.match(homePage, /<ClarinetHero \/>/u);
+ assert.match(hero, /\.copy h1\s*\{[^}]*font-family:\s*var\(--font-text\)/u);
+ assert.match(hero, /\.credentials\s*\{[^}]*font-family:\s*var\(--font-prose\)/u);
+ assert.match(hero, /\.credentials strong\s*\{[^}]*font-family:\s*var\(--font-text\)/u);
+ const markerStyle = hero.match(/\.markers i\s*\{([^}]+)\}/u)?.[1] ?? "";
+ assert.match(markerStyle, /background:\s*var\(--accent\)/u);
+ const markerWidth = Number(markerStyle.match(/(?:^|;)\s*width:\s*([\d.]+)px/u)?.[1]);
+ const markerHeight = Number(markerStyle.match(/(?:^|;)\s*height:\s*([\d.]+)px/u)?.[1]);
+ assert.ok(markerHeight > markerWidth && markerWidth > 0, "Corner markers are vertical blue bars.");
const experience = await readFile(path.join(ROOT, "app", "components", "experience", "Experience.module.css"), "utf8");
const directory = await readFile(path.join(ROOT, "app", "components", "SectionDirectory.module.css"), "utf8");
assert.match(globals, /@media \(pointer:\s*coarse\)[\s\S]*?\.primary-nav a\s*\{[^}]*min-height:\s*44px/u);