import { useCallback, useEffect, useMemo, useRef, useState } from "react"; import { CostModel, FD_METHOD, LIBRARY_FILES, SCENARIO_PRESETS, buildGpuStages, buildPlanBundle, buildRunBundle, cloneSpec, defaultSpec, methodBlockers, parseMethodPlan, parsePlateResult, validateSpec, withEdits, type BackendInfo, type MethodPlan, type ProblemSpec, } from "@plate-dyn/core"; import { CodeView, EquationsView, ParameterPanel, RunStatus, useRunner, useSolve, useWebGpuSupport, type ParameterSection, } from "@plate-dyn/components"; import { ResultsView } from "./views/ResultsView"; import { clearPersistentState, usePersistentState } from "./usePersistentState"; type RightTab = "equations" | "source" | "run"; const RIGHT_TABS: { id: RightTab; label: string }[] = [ { id: "equations", label: "Equations" }, { id: "source", label: "Source" }, { id: "run", label: "Run details" }, ]; const IDLE = { status: "idle" } as const; const method = FD_METHOD; /** What is on the bench: the settings a first run needs. */ const PROBLEM_SECTIONS: ParameterSection[] = ["plate", "material", "mount", "excitation"]; /** Reasonable defaults, rarely the point. */ const ADVANCED_SECTIONS: ParameterSection[] = ["gravity", "damping", "probe", "listener", "output"]; const ADVANCED_PREFIXES = ["gravity", "damping", "probe", "listener", "output"]; const NUMERICS_SECTIONS: ParameterSection[] = ["fd"]; const SUMMARIES: Record = Object.fromEntries( LIBRARY_FILES.map((f) => [f.name, f.summary]), ); SUMMARIES["main.m"] = "Generated from the controls: the params struct and the solver call"; const isSpec = (v: unknown): v is ProblemSpec => { const s = v as ProblemSpec | null; return ( !!s && typeof s === "object" && !!s.plate && !!s.fd && !!s.mount?.type && !!s.gravity && !!s.listener?.model && !!s.output ); }; const isRightTab = (v: unknown): v is RightTab => RIGHT_TABS.some((t) => t.id === v); const isBool = (v: unknown): v is boolean => typeof v === "boolean"; const isEdits = (v: unknown): v is Record => !!v && typeof v === "object" && Object.values(v as object).every((x) => typeof x === "string"); export function App() { // Everything the user chooses is remembered in this browser; "Reset to defaults" forgets it all. const [spec, setSpec] = usePersistentState("spec-v1", defaultSpec, isSpec); const [edits, setEdits] = usePersistentState>( "edits", () => ({}), isEdits, ); const [rightTab, setRightTab] = usePersistentState( "rightTab", () => "equations", isRightTab, ); const [advancedOpen, setAdvancedOpen] = usePersistentState( "advancedOpen", () => false, isBool, ); // The time loop runs as its WebGPU port by default: a run of seconds is hundreds of thousands of steps. const [fdGpu, setFdGpu] = usePersistentState("fdGpu", () => true, isBool); const gpuSupport = useWebGpuSupport(); const gpuOn = fdGpu && gpuSupport.status === "available"; const runner = useRunner(); const [backend, setBackend] = useState(null); useEffect(() => { void runner.backend.then(setBackend); }, [runner]); const issues = useMemo(() => validateSpec(spec), [spec]); const hasErrors = issues.some((i) => i.severity === "error"); const blockers = methodBlockers(method, spec); const mainEdited = "main.m" in edits; const scenarioId = useMemo( () => SCENARIO_PRESETS.find((s) => JSON.stringify(s.spec) === JSON.stringify(spec))?.id ?? "", [spec], ); // Source bundles: what the code view shows is what runs. With the GPU option on, the script is // written as the three stages the host then runs; an edited main script runs as written, in numbl. const bundles = useMemo(() => { const single = buildRunBundle(spec, method, { gpu: gpuOn }); const stages = gpuOn && !mainEdited ? (buildGpuStages(spec, method) ?? undefined) : undefined; return { display: single, run: withEdits(single, edits), gpu: stages }; }, [spec, edits, gpuOn, mainEdited]); const solve = useSolve(parsePlateResult); const plan = useSolve(parseMethodPlan); const cost = useRef(new CostModel()); // Keep the plan (step, cost, statics, pendulum frequencies) current useEffect(() => { if (hasErrors) return; const t = window.setTimeout(() => { const pb = buildPlanBundle(spec, method); if (pb) void plan.run({ bundle: withEdits(pb, edits) }); }, 300); return () => window.clearTimeout(t); // eslint-disable-next-line react-hooks/exhaustive-deps }, [spec, edits, hasErrors]); const methodPlan: MethodPlan | null = plan.last; const planError = plan.state.status === "error" ? plan.state.run.error : null; const running = solve.state.status === "running"; /** Identifies the inputs a result came from, so a result from other settings can say so. */ const stamp = useMemo(() => JSON.stringify({ spec, edits, gpuOn }), [spec, edits, gpuOn]); const [ranWith, setRanWith] = useState(null); const run = useCallback(async () => { if (running || hasErrors || blockers.length) return; solve.reset(); setRanWith(stamp); const r = await solve.run({ bundle: bundles.run, gpu: bundles.gpu }); if (r?.ok) { const res = parsePlateResult(r.value); cost.current.observe( method, Number(res.info.extra.cell_steps), r.wallMs, r.compute?.loop === "webgpu", ); } // eslint-disable-next-line react-hooks/exhaustive-deps }, [running, hasErrors, blockers.length, bundles, solve, stamp]); const cancel = () => solve.cancel(); const resetAll = () => { if (!window.confirm("Reset every setting and source edit to the defaults?")) return; clearPersistentState(); setSpec(defaultSpec()); setEdits({}); setRightTab("equations"); setAdvancedOpen(false); setFdGpu(true); solve.reset(); setRanWith(null); }; useEffect(() => { const onKey = (e: KeyboardEvent) => { if ((e.ctrlKey || e.metaKey) && e.key === "Enter") { e.preventDefault(); void run(); } }; window.addEventListener("keydown", onKey); return () => window.removeEventListener("keydown", onKey); }, [run]); const currentState = ranWith !== null ? solve.state : IDLE; const currentResult = ranWith !== null ? solve.last : null; const stale = ranWith !== null && !running && ranWith !== stamp && currentResult !== null; const estimateMs = methodPlan ? cost.current.estimateMs(method, methodPlan.cell_steps, gpuOn) : undefined; const slow = estimateMs !== undefined && estimateMs > 5000; const advancedIssue = issues.some( (i) => i.severity === "error" && ADVANCED_PREFIXES.some((p) => i.path === p || i.path.startsWith(p + ".")), ); const equationGroups = method.equationGroups.filter( (g) => !g.mounts || g.mounts.includes(spec.mount.type), ); return (

Plate Dynamics Lab

A metal plate on a thread, on pads, in a vise or in the hand: how it swings, rings and sounds, solved by MATLAB code and a WebGPU time loop in your browser.
Scenario
{stale && (
The settings changed after this run, so what you see below is from the earlier ones.
)} {currentState.status === "error" && (
{currentState.run.error}
)} {currentResult && } {!currentResult && }
{RIGHT_TABS.map((t) => ( ))}
{rightTab === "equations" && (
What the lab solves, how the {spec.mount.type} mount enters, and how the scheme discretizes it. The code that does it is under Source.
{equationGroups.map((g) => (

{g.title}

))}
)} {rightTab === "source" && ( )} {rightTab === "run" && (
)}
); } /** The statics and the rigid-body modes the plan found, before any run. */ function PlanSummary({ plan, spec }: { plan: MethodPlan; spec: ProblemSpec }) { const m = spec.mount; const lines: string[] = []; lines.push(`mass ${(plan.mass * 1000).toFixed(0)} g`); if (plan.tension.length === 1) lines.push(`thread tension ${plan.tension[0].toFixed(2)} N`); if (plan.tension.length === 2) lines.push(`thread tensions ${plan.tension[0].toFixed(2)} and ${plan.tension[1].toFixed(2)} N`); if (plan.sag > 0) lines.push(`sag under gravity ${(plan.sag * 1000).toPrecision(3)} mm`); if (plan.rigid_hz.length > 0) { const hz = plan.rigid_hz.map( (h, k) => `${Number.isFinite(h) ? (h < 0.05 ? `a ${(1 / Math.max(h, 1e-9) / 60).toFixed(0)} min period` : `${h.toFixed(2)} Hz`) : "unstable"} (${plan.rigid_mode_names[k] ?? ""})`, ); lines.push(`rigid-body modes at ${hz.join(", ")}`); } if (m.type === "thread" || m.type === "threads") lines.push( `hangs turned ${(Math.atan2(plan.gx, -plan.gy) * (180 / Math.PI)).toFixed(1)}° in its plane`, ); return (
Statics: {lines.join("; ")}. {plan.notes .filter((n) => /unstable|slack|widened|no load|clear of/.test(n)) .map((n) => (
{n}
))}
); } /** What the middle column says before anything has been solved. */ function EmptyState({ status }: { status: string }) { if (status === "running") return
Solving…
; if (status === "error") return (
The run failed. The message is above, and the full log is under Run details.
); return (

Nothing solved yet

  1. Pick a scenario at the top, or set the plate, material, mount and strike on the left.
  2. Press Run, or Ctrl+Enter.
  3. The plate in its mount, its displacement and stress, the swing and the support forces, the probe traces and the sound appear here.

The equations are on the right; Source shows the MATLAB that runs, and you can edit it.

); }