import { useCallback, useEffect, useMemo, useRef, useState } from 'react' import ScriptEditor from './editor/ScriptEditor.tsx' import Controls, { type Settings } from './panels/Controls.tsx' import InterpolantPanel from './panels/InterpolantPanel.tsx' import BlendingPanel from './panels/BlendingPanel.tsx' import PolesPanel from './panels/PolesPanel.tsx' import ConvergencePanel from './panels/ConvergencePanel.tsx' import { Engine } from './engine/runner.ts' import type { ConvergeOut, ConvergeParams, ExploreOut, ExploreParams, Want } from './engine/types.ts' import { DEFAULT_METHOD, METHODS, findMethod } from './methods/index.ts' type TabId = 'interpolant' | 'blending' | 'poles' | 'convergence' const TABS: { id: TabId; label: string }[] = [ { id: 'interpolant', label: 'Interpolant' }, { id: 'blending', label: 'Blending & weights' }, { id: 'poles', label: 'Poles' }, { id: 'convergence', label: 'Convergence' }, ] const NGRID = 1200 const NGRID_WIDE = 1400 const ROOTS_MAX_N = 40 function nSeries(maxN: number): number[] { const all = [10, 20, 40, 80, 160, 320, 640] return all.filter((n) => n <= maxN) } export default function App() { const [methodId, setMethodId] = useState(DEFAULT_METHOD.id) const [script, setScript] = useState(() => DEFAULT_METHOD.source) const [dirty, setDirty] = useState(false) const [tab, setTab] = useState('interpolant') // The editor is the point of the app for a reader of the paper, but a wall of // MATLAB for anyone else, so it starts collapsed and the choice persists. const [editorOpen, setEditorOpen] = useState(() => { try { return localStorage.getItem('br-editor-open') === '1' } catch { return false } }) useEffect(() => { try { localStorage.setItem('br-editor-open', editorOpen ? '1' : '0') } catch { /* private mode */ } }, [editorOpen]) const [settings, setSettings] = useState({ f: 'runge', fexpr: 'exp(-x.^2) .* cos(3*x)', a: -5, b: 5, n: 20, d: 3, nodes: 'uniform', seed: 1, }) const [showPoly, setShowPoly] = useState(false) const [showSpline, setShowSpline] = useState(false) const [showClassical, setShowClassical] = useState(true) const [explore, setExplore] = useState(null) const [error, setError] = useState(null) const [output, setOutput] = useState('') const [busy, setBusy] = useState(true) const [ms, setMs] = useState(null) // the convergence study runs only when asked const [convDs, setConvDs] = useState([0, 1, 2, 3, 4]) const [convMaxN, setConvMaxN] = useState(320) const [convSpline, setConvSpline] = useState(true) const [convPoly, setConvPoly] = useState(false) const [conv, setConv] = useState(null) const [convKey, setConvKey] = useState(null) const [convRunning, setConvRunning] = useState(false) const engineRef = useRef(null) if (!engineRef.current) engineRef.current = new Engine() useEffect(() => () => engineRef.current?.dispose(), []) const want: Want = useMemo( () => ({ poly: tab === 'interpolant' && showPoly, spline: tab === 'interpolant' && showSpline, blend: tab === 'blending', poles: tab === 'poles', classical: tab === 'poles' && showClassical, }), [tab, showPoly, showSpline, showClassical], ) const exploreParams: ExploreParams = useMemo( () => ({ mode: 'explore', f: settings.f, fexpr: settings.fexpr, a: settings.a, b: settings.b, n: settings.n, d: Math.min(settings.d, settings.n), nodes: settings.nodes, seed: settings.seed, ngrid: NGRID, ngridwide: NGRID_WIDE, rootsMaxN: ROOTS_MAX_N, want, }), [settings, want], ) // Re-run whenever the script or any parameter changes. The debounce keeps a // dragged slider from queueing a run per pixel; the engine serialises what // does get through, so the last one always wins. const [runToken, setRunToken] = useState(0) const paramsKey = JSON.stringify(exploreParams) useEffect(() => { if (tab === 'convergence') return let cancelled = false setBusy(true) const timer = setTimeout(async () => { const res = await engineRef.current!.run(script, exploreParams) if (cancelled) return setBusy(false) setMs(res.ms) setOutput(res.output) if (res.ok) { setExplore(res.data) setError(null) } else { setError(res.error) } }, 110) return () => { cancelled = true clearTimeout(timer) } // paramsKey stands in for exploreParams, which is rebuilt every render // eslint-disable-next-line react-hooks/exhaustive-deps }, [script, paramsKey, tab, runToken]) const convParams: ConvergeParams = useMemo( () => ({ mode: 'converge', f: settings.f, fexpr: settings.fexpr, a: settings.a, b: settings.b, nodes: settings.nodes, seed: settings.seed, ngrid: 4001, ns: nSeries(convMaxN), ds: convDs, want: { poly: convPoly, spline: convSpline, blend: false, poles: false, classical: false }, }), [settings, convMaxN, convDs, convPoly, convSpline], ) const convParamsKey = JSON.stringify(convParams) + script const runConvergence = useCallback(async () => { setConvRunning(true) setError(null) const key = convParamsKey const res = await engineRef.current!.run(script, convParams) setConvRunning(false) setMs(res.ms) setOutput(res.output) if (res.ok) { setConv(res.data) setConvKey(key) setError(null) } else { setError(res.error) } }, [convParams, convParamsKey, script]) const pickMethod = (id: string) => { const m = findMethod(id) if (!m) return setMethodId(id) setScript(m.source) setDirty(false) } const patch = (p: Partial) => setSettings((s) => ({ ...s, ...p })) const method = findMethod(methodId) return (

Barycentric rational interpolation

Floater & Hormann,{' '} Numer. Math. 107 (2007) 315–331 . Every plot is computed live by a short MATLAB script you can open and edit; it runs in your browser through{' '} numbl .

source
{!editorOpen && ( )}
{editorOpen && (
{method && !dirty &&

{method.blurb}

} {dirty &&

Edited. Pick a method above to start over.

} { setScript(s) setDirty(s !== findMethod(methodId)?.source) }} onRun={() => setRunToken((v) => v + 1)} />
What the app calls
w = bary_weights(x, d) r = bary_eval(x, y, w, t) [P, L] = local_blend(x, y, d, t) the third is optional; without it the second tab is empty
{error && (
The script failed
{error}
)} {output.trim() && !error && (
console output
{output}
)}
)}
{tab === 'convergence' ? ( { if (p.ds) setConvDs(p.ds) if (p.maxN) setConvMaxN(p.maxN) if (p.showSpline !== undefined) setConvSpline(p.showSpline) if (p.showPoly !== undefined) setConvPoly(p.showPoly) }} onRun={runConvergence} /> ) : explore == null ? (

{error ? 'Fix the script to see the plots.' : 'Starting numbl…'}

) : tab === 'interpolant' ? ( (which === 'poly' ? setShowPoly(on) : setShowSpline(on))} /> ) : tab === 'blending' ? ( ) : ( )}
) }