import { useEffect, useRef, useState } from 'react'; import { ready } from '../../lib/mrly.js'; import { mount, Page, Row, Pick, Slider, Text, Btn, Stats, Stat, Note } from '../../lib/app.jsx'; import { Pixels } from '../../lib/draw.jsx'; import { useQuery, stamp } from '../../lib/query.js'; const m = await ready(); const SIZES = [256, 512, 1024]; const SCHEDULES = [ ['unspun', 'unspun'], ['degrees', 'layer k at k increments'], ['golden', 'golden angle'], ['primes', 'layer k at the k-th prime'], ['random', 'random, seeded'], ['gaussian', 'the Gaussian angle of n'], ]; const SETS = ['odd', 'primes', 'squarefree', 'prime powers']; const WEIGHTS = ['plain', 'mobius', 'harmonic']; const MODES = ['cells', 'edges', 'corners']; const BLENDS = ['mean', 'sum', 'union', 'meet', 'parity', 'difference']; const EYES = JSON.parse(m.tourbillon_eyes(12)); const STEP = 0.05; const SWEEP = 6; const BEAT = 1000; const TIGHT = 1e-9; const place = (value, places) => (Number.isFinite(value) ? value.toFixed(places) : '-'); const trim = (value) => String(Number(value.toFixed(6))); const eyeAt = (value) => EYES.findIndex(([angle]) => Math.abs(angle - value) < TIGHT); const label = ([angle, numer, denom]) => (denom === 1 ? trim(angle) : `${trim(angle)} = ${numer}/${denom}`); function App() { const [q, setQ] = useQuery({ n: 55, r: 512, sched: 'degrees', inc: 1, set: 'odd', weights: 'plain', mode: 'cells', blend: 'mean', seed: 1, }); const [inc, setInc] = useState(q.inc); const [typed, setTyped] = useState(trim(q.inc)); const [playing, setPlaying] = useState(false); const live = useRef(inc); const held = useRef(null); live.current = inc; let error = null; try { const clock = performance.now(); const field = m.tourbillon(q.n, q.r, q.sched, inc, q.set, q.weights, q.mode, q.blend, q.seed); const read = JSON.parse(m.tourbillon_stats(field, q.r, q.n, q.sched, inc, q.set, q.weights, q.blend, q.seed)); const signed = read.weighted && q.weights === 'mobius'; const reach = Math.max(Math.abs(read.low), Math.abs(read.high)); const pixels = m.paint_span(field, q.r, signed ? -reach : read.low, signed ? reach : read.high, signed ? 'diverge' : 'fire', read.layers + 1, false); held.current = { pixels, read, ms: performance.now() - clock }; } catch (fault) { error = fault; } useEffect(() => { if (!playing) return; let id = 0; let last = 0; const frame = (now) => { id = requestAnimationFrame(frame); const step = last ? Math.min(0.25, (now - last) / 1000) : 0; last = now; if (step > 0) setInc((old) => (old + SWEEP * step) % 360); }; id = requestAnimationFrame(frame); const beat = setInterval(() => stamp({ inc: place(live.current, 2) }), BEAT); return () => { cancelAnimationFrame(id); clearInterval(beat); }; }, [playing]); const settle = (next) => { const value = Math.min(360, Math.max(0, Number(next.toFixed(6)))); setPlaying(false); setInc(value); setTyped(trim(value)); setQ({ inc: value }); }; const write = (text) => { setPlaying(false); setTyped(text); const value = Number(text); if (!text.trim() || !Number.isFinite(value) || value < 0 || value > 360) return; setInc(value); setQ({ inc: value }); }; const sweep = () => { if (playing) { settle(live.current); return; } setQ({ sched: 'degrees' }); setPlaying(true); }; const view = held.current; const read = view?.read; const angles = read ? read.angles.map((value) => place(value, 1)).join(' ') : ''; const peaks = read ? read.peaks.map(([x, y, value]) => ` ${place(x, 4)} ${place(y, 4)} ${place(value, 4)}`).join('\n') : ''; const aside = read && !read.weighted && q.weights !== 'plain' ? ' weights unused' : ''; const eye = eyeAt(inc); const controls = ( <>

The stack

setQ({ n: v })} /> setQ({ set: v })} /> setQ({ weights: v })} /> [v, v])} onChange={(v) => setQ({ r: +v })} />

The spin

setQ({ sched: v })} /> settle(inc - STEP)}>- settle(inc + STEP)}>+ {playing ? 'Stop' : 'Play the increment'} setQ({ sched: 'random', seed: q.seed + 1 })}>Randomize

The eyes

[String(at), label(row)])]} onChange={(v) => { if (v !== '') { setQ({ sched: 'degrees' }); settle(EYES[+v][0]); } }} />

The draw

setQ({ mode: v })} /> setQ({ blend: v })} />
); return ( The layer schedule, the selection, the weights, the quarter-turn lattice and the angle classes are all computed in Rust, the disc is masked and the layers merged there, and the page only paints the pixels it is handed. The unspun stack is the one the moire page shows; spinning it is what breaks the shared grid, and the exact nodes that survive a turn are the Gaussian-integer angles. What the stack is, and why an address is not a construction, is in the stack note.}> {view && } {read?.layers} {read && `${q.r} by ${q.r}`} {view && `${view.ms.toFixed(0)} ms`} {read &&
{`layers ${read.layers}   scales ${read.scales.join(' ')}\nangles ${angles}\nmean ${place(read.mean, 4)}   rms contrast ${place(read.rms, 4)}   rms * sqrt(L) ${place(read.faded, 4)}   centre ${place(read.centre, 4)}${aside}\nangle classes mod 90 ${read.classes}   increments to a quarter turn ${read.period ?? 'none'}   layer pairs sharing a class ${read.pairs}\ntop three maxima (x, y, value)\n${peaks}`}
}
); } mount();