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border-radius: 999px; background: var(--bjork-thumb); box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.18), 0 0 0 1px rgba(0, 0, 0, 0.42); } .bjork-range::-moz-range-thumb { width: 16px; height: 8px; border: 0; border-radius: 999px; background: var(--bjork-thumb); box-shadow: inset 0 1px 0 rgba(255, 255, 255, 0.18), 0 0 0 1px rgba(0, 0, 0, 0.42); } .bjork-layered-button-accent, .bjork-layered-button-raised { position: relative; isolation: isolate; appearance: none; overflow: hidden; border: 0; border-radius: 13px; box-shadow: inset 0 1px 0 #ffffff38, 0 4px 6px -1px #0000001a, 0 2px 4px -2px #0000001a; transition: filter 150ms ease-out, box-shadow 150ms ease-out; } .bjork-layered-button-accent::after, .bjork-layered-button-raised::after { position: absolute; inset: 0; pointer-events: none; content: ""; border: 1.5px solid transparent; border-radius: inherit; background: linear-gradient(#ffffffb8, #0000003d 41% 75%, #ffffff47) border-box; mix-blend-mode: overlay; -webkit-mask-image: linear-gradient(#000, #000), linear-gradient(#000, #000); mask-image: linear-gradient(#000, #000), linear-gradient(#000, #000); -webkit-mask-clip: padding-box, border-box; mask-clip: padding-box, border-box; -webkit-mask-origin: padding-box, border-box; mask-origin: padding-box, border-box; -webkit-mask-composite: xor; mask-composite: exclude; } .bjork-layered-button-accent { color: oklch(100% 0 0); text-shadow: 0 -1px #00000040; background: radial-gradient(ellipse at -20px top, rgba(255, 255, 255, 0.14), transparent), linear-gradient(180deg, #ec5c13 0%, #ec5c13 62%, color-mix(in oklab, #ec5c13 84%, black 16%) 100%); } .bjork-layered-button-raised { color: oklch(100% 0 0); text-shadow: 0 -1px #00000026; background: radial-gradient(ellipse at -20px top, #ffffff38, #fff0), linear-gradient(180deg, oklch(0.1881 0.006 265), oklch(0.5493 0.0081 265)); } .dark .bjork-layered-button-raised { color: oklch(0.2574 0.0056 265); text-shadow: 0 -1px #00000026; background: radial-gradient(ellipse at -20px top, #ffffff38, #fff0), linear-gradient(180deg, color-mix(in oklab, oklch(0.9674 0.0013 265) 80%, oklch(0.2574 0.0056 265) 20%), color-mix(in oklab, oklch(0.669 0.0107 265) 80%, oklch(0.2574 0.0056 265) 20%)); } @media (hover: hover) { .bjork-layered-button-accent:hover { filter: brightness(1.08) saturate(1.04); } .bjork-layered-button-raised:hover { filter: brightness(1.08) contrast(0.9); } }7d:["$","div",null,{"className":"flex flex-col border rounded-md","children":[["$","p",null,{"className":"text-sm font-medium border-b p-2","children":"CSS"}],["$","div",null,{"children":["$","$L9f",null,{"lang":"css","copyButton":true,"writing":false,"className":"rounded-none w-full max-h-80","header":false,"children":"$a0"}]}]]}] a2:T410c,"use client"; import { useCallback, useEffect, useLayoutEffect, useMemo, useRef, useSyncExternalStore, type FocusEvent, type KeyboardEvent, type PointerEvent as ReactPointerEvent, } from "react"; import { useReducedMotion } from "framer-motion"; import { cn } from "@/lib/utils"; import { BJORK_PALETTE, type BjorkTone } from "../_core/palette"; import { useBjorkTone } from "../_core/tone"; import { useVisibleLoop } from "../_core/loop"; import { mulberry32 } from "../_core/random"; import { stepSpring, type SpringConfig, type SpringState } from "../_core/spring"; export type MagneticMode = "attract" | "repel"; export interface MagneticLettersProps { text?: string; /** Letters lean toward the cursor, or shy away from it. */ mode?: MagneticMode; /** Scales how far letters travel. 1 is the tuned default. */ strength?: number; /** Reach of the field as a gaussian sigma, in em. */ radius?: number; /** Spring stiffness for the snap back. */ stiffness?: number; /** Spring damping. Lower overshoots more. */ damping?: number; /** Click (or Enter / Space) scatters the letters and lets them reassemble. */ shockwave?: boolean; tone?: BjorkTone; color?: string; /** Tint for letters deep in the field, and the shockwave ring. */ accentColor?: string; /** Upper bound in px. The type also shrinks to fit its container. */ fontSize?: number; fontFamily?: string; fontWeight?: number; /** Letter spacing in em. */ tracking?: number; align?: "left" | "center"; /** * Fixed pointer position as fractions of the box (0..1). Renders a still, displaced frame * with no loop — for previews and screenshots. */ pointer?: { x: number; y: number }; className?: string; ariaLabel?: string; } interface Glyph { cx: number; cy: number; x: SpringState; y: SpringState; r: SpringState; s: SpringState; /** Writes are skipped when nothing visible changed. */ key: string; tint: number; kickAt: number; seed: number; } interface Ring { x: number; y: number; age: number; } const RING_LIFE = 0.9; const subscribeNoop = () => () => {}; const clampAbs = (v: number, m: number) => (v > m ? m : v < -m ? -m : v); interface FieldParams { mode: MagneticMode; strength: number; radius: number; } /** Field targets for one glyph given the pointer. Also sets the glyph's tint. */ function fieldTarget(g: Glyph, px: number, py: number, presence: number, L: FieldParams, em: number) { const sigma = Math.max(8, L.radius * em); const dx = px - g.cx; const dy = py - g.cy; const dist = Math.hypot(dx, dy) || 1; const f = Math.exp((-0.5 * dist * dist) / (sigma * sigma)) * presence; let tx: number; let ty: number; if (L.mode === "attract") { // Lean toward the cursor, never past it. Sideways pull is kept well under half a letter so // neighbours converging on the same point never collide; the lift carries the gesture. const pull = L.strength * f; tx = clampAbs(dx * pull * 0.11, em * 0.14 * L.strength); ty = clampAbs(dy * pull * 0.34, em * 0.42 * L.strength); } else { const push = em * 0.62 * L.strength * f; tx = (-dx / dist) * push; ty = (-dy / dist) * push; } // Lean into the direction of travel. const tr = clampAbs(tx * (60 / em), 14); const ts = L.mode === "attract" ? 1 + 0.07 * f * L.strength : 1 - 0.18 * f * L.strength; g.tint = L.mode === "attract" ? Math.round(Math.max(0, f - 0.45) * 70) : Math.round(Math.max(0, f - 0.5) * 60); return { tx, ty, tr, ts }; } export function MagneticLetters({ text = "Pull me closer", mode = "attract", strength = 1, radius = 1.35, stiffness = 210, damping = 15, shockwave = true, tone, color, accentColor, fontSize = 112, fontFamily = "var(--font-geist-sans), ui-sans-serif, system-ui, sans-serif", fontWeight = 640, tracking = -0.045, align = "center", pointer: fixedPointer, className, ariaLabel, }: MagneticLettersProps) { const resolvedTone = useBjorkTone(tone); const palette = BJORK_PALETTE[resolvedTone]; const ink = color ?? palette.text; const accent = accentColor ?? palette.accent; const reduced = useReducedMotion() ?? false; // Reduced motion is only known on the client; hold the first client render to the server's. const mounted = useSyncExternalStore(subscribeNoop, () => true, () => false); const still = (mounted && reduced) || fixedPointer !== undefined; const fixedX = fixedPointer?.x; const fixedY = fixedPointer?.y; const words = useMemo(() => text.split(/(\s+)/).filter((w) => w.length > 0), [text]); const longest = useMemo(() => words.reduce((m, w) => Math.max(m, Array.from(w).length), 1), [words]); const rootRef = useRef(null); const boxRef = useRef(null); const ringRef = useRef(null); const letters = useRef([]); const field = useRef([]); const ptr = useRef({ x: 0, y: 0, active: false, presence: 0, touch: false }); const ring = useRef(null); const clock = useRef(0); const fontPx = useRef(fontSize); const live = useRef({ mode, strength, radius, stiffness, damping, ink, accent }); useEffect(() => { live.current = { mode, strength, radius, stiffness, damping, ink, accent }; }, [mode, strength, radius, stiffness, damping, ink, accent]); const collect = useCallback(() => { const box = boxRef.current; if (!box) return; const els = Array.from(box.querySelectorAll("[data-letter]")); letters.current = els; fontPx.current = parseFloat(getComputedStyle(box).fontSize) || fontSize; const prev = field.current; field.current = els.map((el, i) => { // offsetLeft/Top ignore transforms, so these are the true rest positions. const cx = el.offsetLeft + el.offsetWidth / 2; const cy = el.offsetTop + el.offsetHeight / 2; const p = prev[i]; if (p) return { ...p, cx, cy }; return { cx, cy, x: { x: 0, v: 0 }, y: { x: 0, v: 0 }, r: { x: 0, v: 0 }, s: { x: 1, v: 0 }, key: "", tint: -1, kickAt: -1, seed: i, }; }); }, [fontSize]); const write = useCallback(() => { const { ink: c, accent: a } = live.current; const gs = field.current; for (let i = 0; i < gs.length; i++) { const g = gs[i]; const el = letters.current[i]; if (!el) continue; const key = `${g.x.x.toFixed(1)},${g.y.x.toFixed(1)},${g.r.x.toFixed(1)},${g.s.x.toFixed(3)}`; if (key !== g.key) { el.style.transform = `translate3d(${g.x.x.toFixed(2)}px, ${g.y.x.toFixed(2)}px, 0) rotate(${g.r.x.toFixed(2)}deg) scale(${g.s.x.toFixed(3)})`; g.key = key; } const tint = g.tint; const prevTint = Number(el.dataset.tint ?? -1); if (tint !== prevTint) { el.style.color = tint > 0 ? `color-mix(in oklab, ${a} ${tint}%, ${c})` : c; el.dataset.tint = String(tint); } } const svg = ringRef.current; const r = ring.current; if (svg) { if (r && r.age < RING_LIFE) { const k = r.age / RING_LIFE; const ease = 1 - (1 - k) ** 3; const size = fontPx.current * (0.4 + 5.5 * ease); svg.style.opacity = String((1 - k) * 0.7); svg.style.transform = `translate3d(${(r.x - 50).toFixed(1)}px, ${(r.y - 50).toFixed(1)}px, 0) scale(${(size / 100).toFixed(3)})`; } else if (svg.style.opacity !== "0") { svg.style.opacity = "0"; } } }, []); const snapTo = useCallback( (fx: number, fy: number) => { const box = boxRef.current; if (!box) return; const px = fx * box.offsetWidth; const py = fy * box.offsetHeight; for (let gi = 0, gs = field.current; gi < gs.length; gi++) { const g = gs[gi]; const { tx, ty, tr, ts } = fieldTarget(g, px, py, 1, live.current, fontPx.current); g.x = { x: tx, v: 0 }; g.y = { x: ty, v: 0 }; g.r = { x: tr, v: 0 }; g.s = { x: ts, v: 0 }; } write(); }, [write], ); const frame = useCallback( (dt: number) => { clock.current += dt; const L = live.current; const p = ptr.current; p.presence += ((p.active ? 1 : 0) - p.presence) * (1 - Math.exp(-dt * (p.active ? 10 : 4))); const cfg: SpringConfig = { stiffness: L.stiffness, damping: L.damping, mass: 1 }; const rcfg: SpringConfig = { stiffness: L.stiffness * 0.8, damping: L.damping * 0.85, mass: 1 }; let moving = false; for (let gi = 0, gs = field.current; gi < gs.length; gi++) { const g = gs[gi]; if (g.kickAt >= 0 && clock.current >= g.kickAt) { // Focus ripple: a small hop with a lean. g.y.v -= fontPx.current * 2.2; g.r.v += (g.seed % 2 ? 1 : -1) * 60; g.s.v += 1.2; g.kickAt = -1; } const { tx, ty, tr, ts } = fieldTarget(g, p.x, p.y, p.presence, L, fontPx.current); stepSpring(g.x, tx, cfg, dt); stepSpring(g.y, ty, cfg, dt); stepSpring(g.r, tr, rcfg, dt); stepSpring(g.s, ts, cfg, dt); if ( g.kickAt >= 0 || Math.abs(g.x.x - tx) + Math.abs(g.y.x - ty) > 0.05 || Math.abs(g.r.x - tr) > 0.05 || Math.abs(g.s.x - ts) > 0.0005 || Math.abs(g.x.v) + Math.abs(g.y.v) + Math.abs(g.r.v) > 0.05 ) moving = true; } if (ring.current) { ring.current.age += dt; if (ring.current.age >= RING_LIFE) ring.current = null; else moving = true; } write(); if (!moving && !p.active && p.presence < 0.002) return false; }, [write], ); const { wake } = useVisibleLoop(rootRef, frame, { enabled: !still }); useLayoutEffect(() => { const box = boxRef.current; if (!box) return; let cancelled = false; const refresh = () => { collect(); if (fixedX !== undefined && fixedY !== undefined) snapTo(fixedX, fixedY); else write(); }; refresh(); const ro = new ResizeObserver(refresh); ro.observe(box); document.fonts?.ready.then(() => { if (!cancelled) refresh(); }); return () => { cancelled = true; ro.disconnect(); }; }, [collect, snapTo, write, fixedX, fixedY, text, fontSize, fontWeight, fontFamily, tracking]); useEffect(() => { if (still) return; const box = boxRef.current; if (!box) return; const local = (clientX: number, clientY: number) => { const rect = box.getBoundingClientRect(); const scale = box.offsetWidth > 0 ? rect.width / box.offsetWidth : 1; return { x: (clientX - rect.left) / scale, y: (clientY - rect.top) / scale, rect, scale }; }; const onMove = (e: PointerEvent) => { const p = ptr.current; if (e.pointerType === "touch" && !p.touch) return; const { x, y, rect, scale } = local(e.clientX, e.clientY); const pad = fontPx.current * live.current.radius * 2 * scale; const near = e.clientX > rect.left - pad && e.clientX < rect.right + pad && e.clientY > rect.top - pad && e.clientY < rect.bottom + pad; p.x = x; p.y = y; p.active = near; if (near) wake(); }; const release = (e?: PointerEvent) => { if (e && e.pointerType !== "touch") return; ptr.current.touch = false; ptr.current.active = false; wake(); }; const onLeave = () => { ptr.current.active = false; wake(); }; window.addEventListener("pointermove", onMove, { passive: true }); window.addEventListener("pointerup", release, { passive: true }); window.addEventListener("pointercancel", release, { passive: true }); document.documentElement.addEventListener("pointerleave", onLeave); window.addEventListener("blur", onLeave); return () => { window.removeEventListener("pointermove", onMove); window.removeEventListener("pointerup", release); window.removeEventListener("pointercancel", release); document.documentElement.removeEventListener("pointerleave", onLeave); window.removeEventListener("blur", onLeave); }; }, [still, wake]); const blast = useCallback( (x: number, y: number) => { if (still || !shockwave) return; const em = fontPx.current; const rand = mulberry32((Math.round(x * 31 + y * 17) ^ field.current.length) >>> 0); for (let gi = 0, gs = field.current; gi < gs.length; gi++) { const g = gs[gi]; const dx = g.cx - x; const dy = g.cy - y; const dist = Math.hypot(dx, dy) || 1; const fall = 1 / (1 + (dist / (em * 2.4)) ** 2); const speed = em * 16 * fall * live.current.strength * (0.75 + rand() * 0.5); g.x.v += (dx / dist) * speed; g.y.v += (dy / dist) * speed - em * 4 * fall; g.r.v += (rand() - 0.5) * 1400 * fall; g.s.v += (rand() - 0.3) * 6 * fall; } ring.current = { x, y, age: 0 }; wake(); }, [still, shockwave, wake], ); const onPointerDown = useCallback( (e: ReactPointerEvent) => { if (still) return; const box = boxRef.current; if (!box) return; const rect = box.getBoundingClientRect(); const scale = box.offsetWidth > 0 ? rect.width / box.offsetWidth : 1; const x = (e.clientX - rect.left) / scale; const y = (e.clientY - rect.top) / scale; if (e.pointerType === "touch") { ptr.current.touch = true; ptr.current.x = x; ptr.current.y = y; ptr.current.active = true; wake(); } else { blast(x, y); } }, [still, blast, wake], ); const onKeyDown = useCallback( (e: KeyboardEvent) => { if (e.key !== "Enter" && e.key !== " ") return; e.preventDefault(); const box = boxRef.current; if (!box) return; blast(box.offsetWidth / 2, box.offsetHeight / 2); }, [blast], ); const onFocus = useCallback( (e: FocusEvent) => { if (still) return; if (!e.currentTarget.matches(":focus-visible")) return; const now = clock.current; field.current.forEach((g, i) => { g.kickAt = now + 0.05 + i * 0.045; }); wake(); }, [still, wake], ); const fitCqi = 100 / (longest * Math.max(0.35, 0.6 + tracking)); let letterIndex = 0; return (

{ariaLabel ?? text}

); } export default MagneticLetters; a3:T540,export type BjorkTone = "dark" | "light"; // Canvas, WebGL and SVG attribute colours. DOM code uses the CSS tokens with these as fallbacks. export const BJORK_PALETTE = { dark: { bg: "#050505", stage: "#111111", surface: "#121212", raised: "#161616", active: "#202020", border: "#232323", borderStrong: "#343434", text: "#ededed", textMedium: "rgba(237,237,237,0.72)", textMuted: "rgba(237,237,237,0.6)", textSoft: "rgba(237,237,237,0.5)", textFaint: "rgba(237,237,237,0.22)", hair: "rgba(237,237,237,0.12)", accent: "#ec5c13", accentInk: "#ec5c13", accentFill: "#b84a12", accentSoft: "rgba(236,92,19,0.12)", accentMuted: "rgba(236,92,19,0.24)", accentFg: "#fff2ea", success: "#4cc38a", warning: "#f2b544", error: "#ff5c4d", }, light: { bg: "#f7f5ef", stage: "#f7f5ef", surface: "#fffcf6", raised: "#f5efe3", active: "#efe7d8", border: "#eee6db", borderStrong: "#e1d7c8", text: "#171717", textMedium: "rgba(23,23,23,0.78)", textMuted: "rgba(23,23,23,0.68)", textSoft: "rgba(23,23,23,0.62)", textFaint: "rgba(23,23,23,0.22)", hair: "rgba(23,23,23,0.10)", accent: "#ec7d43", accentInk: "#b4531f", accentFill: "#ec7d43", accentSoft: "rgba(236,125,67,0.10)", accentMuted: "rgba(236,125,67,0.20)", accentFg: "#3f2112", success: "#1f8a55", warning: "#a86b00", error: "#c8361f", }, } as const; a4:Td34,"use client"; import { useCallback, useEffect, useMemo, useRef, type RefObject } from "react"; export interface VisibleLoopOptions { enabled?: boolean; fpsCap?: number; rootMargin?: string; } /** * Runs `frame(dt, t)` on requestAnimationFrame while the element is near the viewport, * the tab is visible and `enabled` is not false. Return `false` from `frame` to go idle * until `wake()` is called. Writes `data-loop` on the element: running, idle or paused. */ export function useVisibleLoop( ref: RefObject, frame: (dt: number, t: number) => boolean | void, opts?: VisibleLoopOptions, ): { wake: () => void } { const enabled = opts?.enabled !== false; const fpsCap = opts?.fpsCap ?? 0; const rootMargin = opts?.rootMargin ?? "96px"; const frameRef = useRef(frame); useEffect(() => { frameRef.current = frame; }, [frame]); const wakeRef = useRef<() => void>(() => {}); const wake = useCallback(() => wakeRef.current(), []); useEffect(() => { const el = ref.current; if (!el || typeof window === "undefined") return; let wants = true; // false once the frame callback returns false let inView = false; let raf = 0; let last = 0; let t = 0; const minFrame = fpsCap > 0 ? 1000 / fpsCap : 0; const canRun = () => enabled && inView && document.visibilityState === "visible"; const stop = () => { if (raf) cancelAnimationFrame(raf); raf = 0; }; const update = () => { if (!enabled) { stop(); el.dataset.loop = "paused"; return; } if (!wants) { stop(); el.dataset.loop = "idle"; return; } if (!canRun()) { stop(); el.dataset.loop = "paused"; return; } el.dataset.loop = "running"; if (!raf) { last = performance.now(); raf = requestAnimationFrame(tick); } }; const tick = (now: number) => { raf = 0; if (!canRun() || !wants) { update(); return; } const elapsed = now - last; if (minFrame && elapsed < minFrame - 0.5) { raf = requestAnimationFrame(tick); return; } last = now; const dt = Math.min(0.05, Math.max(0, elapsed / 1000)); t += dt; const keep = frameRef.current(dt, t); if (keep === false) { wants = false; update(); return; } raf = requestAnimationFrame(tick); }; const observer = new IntersectionObserver( ([entry]) => { inView = entry.isIntersecting; update(); }, { rootMargin }, ); observer.observe(el); const onVisibility = () => update(); document.addEventListener("visibilitychange", onVisibility); wakeRef.current = () => { wants = true; update(); }; update(); return () => { stop(); observer.disconnect(); document.removeEventListener("visibilitychange", onVisibility); wakeRef.current = () => {}; }; }, [ref, enabled, fpsCap, rootMargin]); return useMemo(() => ({ wake }), [wake]); } // matchMedia based check. False on the server. export function isCoarsePointer(): boolean { if (typeof window === "undefined" || typeof window.matchMedia !== "function") return false; return window.matchMedia("(pointer: coarse)").matches; } a5:T8ed,// Seeded randomness and noise. Deterministic for a given seed, so previews and tests repeat. // Small fast PRNG. Returns floats in [0, 1). export function mulberry32(seed: number): () => number { let a = seed >>> 0; return () => { a = (a + 0x6d2b79f5) >>> 0; let t = a; t = Math.imul(t ^ (t >>> 15), t | 1); t ^= t + Math.imul(t ^ (t >>> 7), t | 61); return ((t ^ (t >>> 14)) >>> 0) / 4294967296; }; } // FNV-1a 32-bit. export function hashString(s: string): number { let h = 0x811c9dc5; for (let i = 0; i < s.length; i++) { h ^= s.charCodeAt(i); h = Math.imul(h, 0x01000193); } return h >>> 0; } // Integer lattice hash to [-1, 1]. function latticeHash(seed: number, x: number, y = 0): number { let h = Math.imul(x | 0, 374761393) ^ Math.imul(y | 0, 668265263) ^ Math.imul(seed | 0, 2246822519); h = Math.imul(h ^ (h >>> 13), 1274126177); h ^= h >>> 16; return ((h >>> 0) / 4294967295) * 2 - 1; } function smooth(t: number): number { return t * t * (3 - 2 * t); } export function valueNoise1D(seed: number): (x: number) => number { return (x: number) => { const i = Math.floor(x); const f = x - i; const a = latticeHash(seed, i); const b = latticeHash(seed, i + 1); return a + (b - a) * smooth(f); }; } export function fbm1D(seed: number, octaves = 3): (x: number) => number { const layers = Array.from({ length: octaves }, (_, o) => valueNoise1D(seed + o * 101)); let norm = 0; for (let o = 0; o < octaves; o++) norm += 0.5 ** o; return (x: number) => { let sum = 0; let amp = 1; let freq = 1; for (let o = 0; o < octaves; o++) { sum += amp * layers[o](x * freq); amp *= 0.5; freq *= 2; } return sum / norm; }; } export function valueNoise2D(seed: number): (x: number, y: number) => number { return (x: number, y: number) => { const xi = Math.floor(x); const yi = Math.floor(y); const fx = smooth(x - xi); const fy = smooth(y - yi); const a = latticeHash(seed, xi, yi); const b = latticeHash(seed, xi + 1, yi); const c = latticeHash(seed, xi, yi + 1); const d = latticeHash(seed, xi + 1, yi + 1); const top = a + (b - a) * fx; const bottom = c + (d - c) * fx; return top + (bottom - top) * fy; }; } a6:Tcaa,// Pure spring math, no React. Units: stiffness k, damping d (coefficient), mass m, time in seconds. export interface SpringConfig { stiffness: number; damping: number; mass: number; } export interface SpringState { x: number; v: number; } // Damping ratio zeta = d / (2 * sqrt(k * m)). export function dampingRatio(c: SpringConfig): number { return c.damping / (2 * Math.sqrt(c.stiffness * c.mass)); } // Exact solution of y'' = -(k/m) y - (d/m) y' for displacement y0 and velocity v0 at time t. // Returns displacement and velocity together so stepping can be exact, not integrated. function solveLinear(t: number, c: SpringConfig, y0: number, v0: number): { y: number; v: number } { const w0 = Math.sqrt(c.stiffness / c.mass); const z = dampingRatio(c); if (Math.abs(z - 1) < 1e-9) { // Critically damped. const e = Math.exp(-w0 * t); const b = v0 + w0 * y0; return { y: e * (y0 + b * t), v: e * (b - w0 * (y0 + b * t)) }; } if (z < 1) { // Underdamped. const wd = w0 * Math.sqrt(1 - z * z); const a = z * w0; const B = (v0 + a * y0) / wd; const e = Math.exp(-a * t); const cos = Math.cos(wd * t); const sin = Math.sin(wd * t); return { y: e * (y0 * cos + B * sin), v: e * (-a * (y0 * cos + B * sin) + wd * (-y0 * sin + B * cos)), }; } // Overdamped. const s = w0 * Math.sqrt(z * z - 1); const r1 = -z * w0 + s; const r2 = -z * w0 - s; const B = (v0 - r1 * y0) / (r2 - r1); const A = y0 - B; const e1 = Math.exp(r1 * t); const e2 = Math.exp(r2 * t); return { y: A * e1 + B * e2, v: A * r1 * e1 + B * r2 * e2 }; } // Analytic position at time t for a spring from `from` to `to` with initial velocity v0. export function springAt(t: number, c: SpringConfig, from = 0, to = 1, v0 = 0): number { return to + solveLinear(t, c, from - to, v0).y; } // Overshoot as a fraction of the total travel. Zero when critically or overdamped. export function overshoot(c: SpringConfig): number { const z = dampingRatio(c); if (z >= 1) return 0; return Math.exp((-Math.PI * z) / Math.sqrt(1 - z * z)); } // Seconds until the spring stays within epsilon of its target (fraction of travel). // Found by scanning backwards from a bound derived from the slowest decay rate. export function settleTime(c: SpringConfig, epsilon = 0.001): number { const w0 = Math.sqrt(c.stiffness / c.mass); const z = dampingRatio(c); const slowest = z < 1 ? z * w0 : (z - Math.sqrt(z * z - 1)) * w0; const tEnd = (Math.log(1 / epsilon) / slowest) * 1.5 + 0.05; const steps = 4000; const dt = tEnd / steps; const band = epsilon; let last = 0; for (let i = 0; i <= steps; i++) { const t = i * dt; if (Math.abs(springAt(t, c, 1, 0, 0)) >= band) last = t; } return last + dt; } // Advances the state by dt towards `target`. Uses the exact solution of the linear spring // (no integration), so it tracks springAt to rounding error at any step size and stays stable // for stiff configs where a fixed-step integrator drifts. export function stepSpring(s: SpringState, target: number, c: SpringConfig, dt: number): void { if (dt <= 0) return; const r = solveLinear(dt, c, s.x - target, s.v); s.x = target + r.y; s.v = r.v; } 7e:["$","$La1",null,{"files":[{"path":"components/bjork-ui/text/magnetic-letters.tsx","content":"$a2","type":"registry:component","target":"@components/bjork-ui/text/magnetic-letters.tsx"},{"path":"lib/utils.ts","content":"import { clsx, type ClassValue } from \"clsx\"\nimport { twMerge } from \"tailwind-merge\"\n\nexport function cn(...inputs: ClassValue[]) {\n return twMerge(clsx(inputs))\n}\n","type":"registry:lib","target":"@lib/utils.ts"},{"path":"components/bjork-ui/_core/palette.ts","content":"$a3","type":"registry:component","target":"@components/bjork-ui/_core/palette.ts"},{"path":"components/bjork-ui/_core/tone.ts","content":"\"use client\";\n\nimport { useSyncExternalStore } from \"react\";\nimport { useTheme } from \"next-themes\";\nimport type { BjorkTone } from \"./palette\";\n\nconst subscribeNoop = () => () => {};\nconst getMounted = () => true;\nconst getServerMounted = () => false;\n\n/**\n * Resolves the tone for a component. An explicit `tone` always wins.\n * Otherwise it follows next-themes' resolved theme, but only after mount,\n * so the server render and first client render agree on dark.\n */\nexport function useBjorkTone(tone?: BjorkTone): BjorkTone {\n const { resolvedTheme } = useTheme();\n const mounted = useSyncExternalStore(subscribeNoop, getMounted, getServerMounted);\n if (tone) return tone;\n if (!mounted) return \"dark\";\n return resolvedTheme === \"light\" ? \"light\" : \"dark\";\n}\n","type":"registry:component","target":"@components/bjork-ui/_core/tone.ts"},{"path":"components/bjork-ui/_core/loop.ts","content":"$a4","type":"registry:component","target":"@components/bjork-ui/_core/loop.ts"},{"path":"components/bjork-ui/_core/random.ts","content":"$a5","type":"registry:component","target":"@components/bjork-ui/_core/random.ts"},{"path":"components/bjork-ui/_core/spring.ts","content":"$a6","type":"registry:component","target":"@components/bjork-ui/_core/spring.ts"}],"className":"h-[70svh] min-h-80"}]