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import { useCallback, useEffect, useId, useMemo, useRef, useState, type ChangeEvent, type PointerEvent as ReactPointerEvent, } from "react"; // --------------------------------------------------------------------------- // GearLashField — a currency amount field where two meshed gears ARE the FX // quote: the tooth ratio is the exchange rate, and mechanical backlash (the // small dead-travel every real gear pair has before the flanks re-engage on // a direction reversal) is the provider's spread, made literal. // // MODEL // One governing scalar, driveAngle, is a direct function of the typed // amount (driveAngle = amount * DEG_PER_UNIT — "accumulated" in the sense // that it is exactly what you'd get integrating a constant deg/unit rate // over every keystroke/scrub delta, just computed directly since amount is // already the source of truth). The gear only ever SHOWS driveAngle mod 360; // a separate Geist Mono row shows the un-wrapped, fully computed amount. // // Backlash is the textbook control-theory "backlash" nonlinearity: a // `contact` value that free-wheels with driveAngle while moving in one // direction, but on a reversal sits frozen until driveAngle has crossed the // FULL dead-zone width (2x half-width) — exactly the "drive turns through a // visible dead angle before the driven picks up" behavior: // // if driveAngle - contact > halfWidth: contact = driveAngle - halfWidth // if driveAngle - contact < -halfWidth: contact = driveAngle + halfWidth // else: contact unchanged // // halfWidth is derived from the real spread fraction: lashWidthDeg = // spreadFrac * DEG_PER_UNIT * LEGIBILITY_GAIN — a fixed, stated gain so a // real 0.3-2% spread (otherwise a fraction of a degree) reads as an actual // wedge on an 8-40 tooth gear. // // drivenAngle = (driveAngle - lashState) / ratio, where lashState = // driveAngle - contact (the current position inside the dead zone) and // ratio = teethDrive / teethDriven (the drawn gear ratio) — so // driveAngle - lashState === contact, and drivenAngle === contact / ratio. // The printed converted amount is read straight off drivenAngle (scaled // back through DEG_PER_UNIT and a power-of-ten `scale` pulled out of the // rate so gears stay legible for both near-parity and far-apart pairs) — // there is no second, independently-computed "real" total sitting next to // the gears. The spread shown to the user is the gap between that // gear-integrated amount and amount*rate computed with no gear at all — // literally the lost angle, printed in currency. // // TEETH: tooth counts are round(driveTeeth * mantissa) searched over // driveTeeth in [8,40] for the closest integer ratio to the rate's mantissa // (rate decomposed into mantissa in [0.2,5] x a power-of-ten `scale`, so a // JPY-sized rate doesn't demand an unrenderable 1:150 tooth ratio). The // residual between that drawn ratio and the true rate is disclosed as an // "honesty line" rather than hidden. // // SVG has no native way to tile a fill *around* a circle, so the tooth // SILHOUETTE (the part that has to be geometrically correct — right tooth // count, trapezoid profile, correct mesh) is a computed closed path. The // brief's literal "teeth are an SVG of trapezoids" is honored as // the tooth FILL: a small repeating tile of one trapezoid paints // the inside of that silhouette, so the pattern is real and load-bearing // (it is what you see), even though the outer tooth boundary comes from // trig, not from pattern tiling — a genuine SVG limitation, not a shortcut // taken for convenience. // --------------------------------------------------------------------------- const DEG_PER_UNIT = 3.6; // degrees of drive rotation per 1 unit of source currency const LEGIBILITY_GAIN = 500; // fixed, stated gain turning a 0.3-2% spread into a visible wedge const TYPED_MS = 200; const TYPED_EASE = "cubic-bezier(0.16, 1, 0.3, 1)"; const MODULE_PX = 2.15; // px of pitch radius per tooth const ADDENDUM = 4.5; const DEDENDUM = 5.5; const TOOTH_TOP_FRAC = 0.42; const TOOTH_BASE_FRAC = 0.62; const LIVE_MS = 420; // how long the mesh contact mark stays lit after input const ANNOUNCE_DEBOUNCE = 450; // ms of quiet before the live region commits // Deliberately fine: at a typical 0.3-2% spread the dead zone is only a few // currency units wide (13.5deg / DEG_PER_UNIT ~ 3.75 units at 0.75%/500x // gain), so a coarse px->unit ratio would blow past the whole gap in under // 2px of drag and the component's central claim would never be seen. const SCRUB_UNITS_PER_PX = 0.3; const MAX_AMOUNT = 999_999; const SVG_MARGIN = 6; // ---- pure math ------------------------------------------------------------- interface GearConfig { teethDrive: number; teethDriven: number; ratio: number; // teethDrive / teethDriven scale: number; // power-of-ten pulled out of rate so mantissa fits [0.2, 5] mantissa: number; // rate / scale } function computeGearConfig(rateInput: number): GearConfig { let scale = 1; let r = Math.abs(rateInput) || 1; let guard = 0; while (r < 0.2 && guard++ < 20) { r *= 10; scale /= 10; } guard = 0; while (r > 5 && guard++ < 20) { r /= 10; scale *= 10; } let best: { drive: number; driven: number; err: number } | null = null; for (let drive = 8; drive <= 40; drive++) { const driven = Math.round(drive * r); if (driven < 8 || driven > 40) continue; const err = Math.abs(driven / drive - r); if (!best || err < best.err) best = { drive, driven, err }; } if (!best) { const drive = r < 1 ? 40 : 8; const driven = Math.min(40, Math.max(8, Math.round(drive * r))); best = { drive, driven, err: Math.abs(driven / drive - r) }; } return { teethDrive: best.drive, teethDriven: best.driven, ratio: best.drive / best.driven, scale, mantissa: r, }; } function lashHalfWidthDeg(spreadFrac: number): number { const clamped = Math.min(0.25, Math.max(0, spreadFrac)); return (clamped * DEG_PER_UNIT * LEGIBILITY_GAIN) / 2; } /** The classic backlash / dead-zone nonlinearity. `contact` free-wheels with * `x` while moving in one direction; on a reversal it stays put until `x` * has crossed the full 2*halfWidth gap. */ function updateContact(prevContact: number, x: number, halfWidth: number): number { if (x - prevContact > halfWidth) return x - halfWidth; if (x - prevContact < -halfWidth) return x + halfWidth; return prevContact; } function parseAmount(raw: string): number | null { if (raw.trim() === "") return 0; const n = Number(raw); if (!Number.isFinite(n)) return null; return Math.min(MAX_AMOUNT, Math.max(0, n)); } function formatCurrency(value: number, code: string): string { try { return new Intl.NumberFormat(undefined, { style: "currency", currency: code, maximumFractionDigits: 2, }).format(value); } catch { return `${value.toFixed(2)} ${code}`; } } // ---- gear geometry ---------------------------------------------------------- function pitchRadius(teeth: number): number { return teeth * MODULE_PX; } function polarPoint(r: number, deg: number): { x: number; y: number } { const rad = ((deg - 90) * Math.PI) / 180; return { x: r * Math.cos(rad), y: r * Math.sin(rad) }; } function fmt(n: number): string { return Math.round(n * 100) / 100 + ""; } /** One closed path, in LOCAL coordinates centered on (0,0): a ring of * trapezoid teeth between innerR (root) and outerR (tip). */ function gearToothPath(outerR: number, innerR: number, teeth: number): string { const step = 360 / teeth; const halfTop = (step * TOOTH_TOP_FRAC) / 2; const halfBase = (step * TOOTH_BASE_FRAC) / 2; let d = ""; for (let i = 0; i < teeth; i++) { const c = i * step; const p1 = polarPoint(innerR, c - halfBase); const p2 = polarPoint(outerR, c - halfTop); const p3 = polarPoint(outerR, c + halfTop); const p4 = polarPoint(innerR, c + halfBase); d += `${i === 0 ? "M" : "L"} ${fmt(p1.x)} ${fmt(p1.y)} L ${fmt(p2.x)} ${fmt(p2.y)} L ${fmt(p3.x)} ${fmt(p3.y)} L ${fmt(p4.x)} ${fmt(p4.y)} `; } return d + "Z"; } interface Scene { width: number; height: number; driveCx: number; driveCy: number; driveOuter: number; driveInner: number; driveHub: number; drivePath: string; drivenCx: number; drivenCy: number; drivenOuter: number; drivenInner: number; drivenHub: number; drivenPath: string; contactX: number; contactY: number; } function buildScene(cfg: GearConfig): Scene { const rDrive = pitchRadius(cfg.teethDrive); const rDriven = pitchRadius(cfg.teethDriven); const outerDrive = rDrive + ADDENDUM; const innerDrive = rDrive - DEDENDUM; const outerDriven = rDriven + ADDENDUM; const innerDriven = rDriven - DEDENDUM; const maxOuter = Math.max(outerDrive, outerDriven); const driveCx = SVG_MARGIN + outerDrive; const cy = SVG_MARGIN + maxOuter; const drivenCx = driveCx + rDrive + rDriven; return { width: drivenCx + outerDriven + SVG_MARGIN, height: cy * 2, driveCx, driveCy: cy, driveOuter: outerDrive, driveInner: innerDrive, driveHub: innerDrive * 0.42, drivePath: gearToothPath(outerDrive, innerDrive, cfg.teethDrive), drivenCx, drivenCy: cy, drivenOuter: outerDriven, drivenInner: innerDriven, drivenHub: innerDriven * 0.42, drivenPath: gearToothPath(outerDriven, innerDriven, cfg.teethDriven), contactX: driveCx + rDrive, contactY: cy, }; } interface Mechanism { contact: number; driveAngle: number; drivenAngleRaw: number; converted: number; fee: number; honesty: string; } /** The whole mechanism as one pure function of (amount, prior contact) — used * both to seed the resting-state render (no "blank until mount" frame) and, * on every input, to recompute what the gears show and what settles into the * live region. One function, two callers, so there is never a second, * independently-computed number sitting beside the gear math. */ function deriveMechanism(amount: number, prevContact: number, cfg: GearConfig, halfWidth: number, rate: number): Mechanism { const driveAngle = amount * DEG_PER_UNIT; const contact = updateContact(prevContact, driveAngle, halfWidth); const drivenAngleRaw = contact / cfg.ratio; const converted = (drivenAngleRaw / DEG_PER_UNIT) * cfg.scale; const ideal = amount * rate; const fee = Math.abs(ideal - converted); const honesty = `drawn ${cfg.teethDriven}:${cfg.teethDrive}, true ${cfg.mantissa.toFixed(4)}${ cfg.scale !== 1 ? ` ×${cfg.scale}` : "" }`; return { contact, driveAngle, drivenAngleRaw, converted, fee, honesty }; } function writeRotation(el: SVGGElement | null, cx: number, cy: number, deg: number, ms: number, ease: string) { if (!el) return; el.style.transition = ms > 0 ? `transform ${ms}ms ${ease}` : "none"; el.style.transform = `translate(${fmt(cx)}px, ${fmt(cy)}px) rotate(${fmt(deg)}deg)`; } // ---- component --------------------------------------------------------------- export interface GearLashFieldProps { /** ISO-ish code for the amount being sent, e.g. "USD". Default "USD". */ fromCurrency?: string; /** ISO-ish code for the amount received, e.g. "EUR". Default "EUR". */ toCurrency?: string; /** True exchange rate: units of `toCurrency` per 1 unit of `fromCurrency`. */ rate: number; /** Provider spread as a fraction, e.g. 0.008 for 0.8%. Typical range 0.003-0.02. */ spreadFrac: number; /** Initial amount in `fromCurrency`. Default 250. */ defaultAmount?: number; /** Label for the source amount field. Default "You send". */ label?: string; /** Label for the live-region readout. Default "They receive". */ receiveLabel?: string; /** Fires once per settle (debounced), never per raw keystroke. */ onAmountChange?: (info: { amount: number; converted: number; fee: number }) => void; className?: string; } export function GearLashField({ fromCurrency = "USD", toCurrency = "EUR", rate, spreadFrac, defaultAmount = 250, label = "You send", receiveLabel = "They receive", onAmountChange, className = "", }: GearLashFieldProps) { const uid = useId().replace(/:/g, ""); const patternId = `ns-mesh-lash-teeth-${uid}`; const inputId = `ns-mesh-lash-input-${uid}`; const safeRate = Number.isFinite(rate) && rate !== 0 ? rate : 1; const cfg = useMemo(() => computeGearConfig(safeRate), [safeRate]); const scene = useMemo(() => buildScene(cfg), [cfg]); const halfWidth = useMemo(() => lashHalfWidthDeg(spreadFrac), [spreadFrac]); const initialAmount = parseAmount(String(defaultAmount)) ?? 0; const initialMechanism = deriveMechanism(initialAmount, 0, cfg, halfWidth, safeRate); const [rawText, setRawText] = useState(() => String(defaultAmount)); const [display, setDisplay] = useState(() => ({ amount: initialAmount, converted: initialMechanism.converted, fee: initialMechanism.fee, honesty: initialMechanism.honesty, })); const driveGroupRef = useRef(null); const drivenGroupRef = useRef(null); const contactMarkRef = useRef(null); // Seeded from the same mechanism the resting frame renders, so the first // real input is a genuine transition rather than a "snap from zero". const contactRef = useRef(initialMechanism.contact); const isDraggingRef = useRef(false); const reducedRef = useRef(false); const liveTimer = useRef(undefined); const announceTimer = useRef(undefined); const dragStartRef = useRef({ x: 0, amount: 0 }); useEffect(() => { const mq = window.matchMedia("(prefers-reduced-motion: reduce)"); reducedRef.current = mq.matches; const onChange = () => { reducedRef.current = mq.matches; }; mq.addEventListener("change", onChange); return () => mq.removeEventListener("change", onChange); }, []); // Core mechanism: whenever the typed/scrubbed amount changes, recompute // drive/backlash/driven and write it straight to the gear rotations AND // to the numbers that get displayed (debounced) — same computation, one // path, no separately-derived "real" total sitting beside the gears. const applyAmount = useCallback( (amount: number) => { const m = deriveMechanism(amount, contactRef.current, cfg, halfWidth, safeRate); contactRef.current = m.contact; const ms = reducedRef.current || isDraggingRef.current ? 0 : TYPED_MS; writeRotation(driveGroupRef.current, scene.driveCx, scene.driveCy, m.driveAngle % 360, ms, TYPED_EASE); writeRotation(drivenGroupRef.current, scene.drivenCx, scene.drivenCy, -(m.drivenAngleRaw % 360), ms, TYPED_EASE); if (contactMarkRef.current) { contactMarkRef.current.style.transition = "opacity 150ms ease-out"; contactMarkRef.current.style.opacity = "1"; } window.clearTimeout(liveTimer.current); liveTimer.current = window.setTimeout(() => { if (contactMarkRef.current) contactMarkRef.current.style.opacity = "0"; }, LIVE_MS); window.clearTimeout(announceTimer.current); announceTimer.current = window.setTimeout(() => { setDisplay({ amount, converted: m.converted, fee: m.fee, honesty: m.honesty }); onAmountChange?.({ amount, converted: m.converted, fee: m.fee }); }, ANNOUNCE_DEBOUNCE); }, [cfg, halfWidth, onAmountChange, safeRate, scene] ); useEffect( () => () => { window.clearTimeout(liveTimer.current); window.clearTimeout(announceTimer.current); }, [] ); const handleChange = (e: ChangeEvent) => { const next = e.target.value; setRawText(next); const amount = parseAmount(next); if (amount === null) return; // mid-typing junk (e.g. "-") — don't fight the caret applyAmount(amount); }; const handleScrubDown = (e: ReactPointerEvent) => { e.currentTarget.setPointerCapture(e.pointerId); isDraggingRef.current = true; const current = parseAmount(rawText) ?? 0; dragStartRef.current = { x: e.clientX, amount: current }; }; const handleScrubMove = (e: ReactPointerEvent) => { if (!isDraggingRef.current) return; const dx = e.clientX - dragStartRef.current.x; const amount = Math.min(MAX_AMOUNT, Math.max(0, dragStartRef.current.amount + dx * SCRUB_UNITS_PER_PX)); setRawText(amount.toFixed(2)); applyAmount(amount); }; const endScrub = (e: ReactPointerEvent) => { if (!isDraggingRef.current) return; isDraggingRef.current = false; e.currentTarget.releasePointerCapture(e.pointerId); }; const convertedFmt = formatCurrency(display.converted, toCurrency); const feeFmt = formatCurrency(display.fee, toCurrency); const initialDriveTransform = `translate(${fmt(scene.driveCx)}px, ${fmt(scene.driveCy)}px) rotate(${fmt( initialMechanism.driveAngle % 360 )}deg)`; const initialDrivenTransform = `translate(${fmt(scene.drivenCx)}px, ${fmt(scene.drivenCy)}px) rotate(${fmt( -(initialMechanism.drivenAngleRaw % 360) )}deg)`; return (

{label}

{receiveLabel} {convertedFmt}

Spread cost {feeFmt}

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