src/main.ts at d8d2cc78a10a432239650c588999ef35c8d3c0e2

proof-of-concept / cymbalsim

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1// The application: the design script, the two run modes (the linear modal

2// model on the CPU workers and the full nonlinear simulation on the GPU),

3// the plate view, the movie, the audio, and the spectrogram.

5import { compileDesign, evaluatePlate, isFlat, profileStats, type Design, DesignError } from "./design.ts";

6import { PRESETS, DEFAULT_PRESET, presetById } from "./presets.ts";

7import {

8 type Plate,

9 type SimParams,

10 defaultParams,

11 countInside,

12 massProperties,

13 meanThickness,

14 thicknessRange,

15 standRates,

16 strikePoint,

17 strikePatch,

18 listenerPosition,

19 dispersionFrequency,

20 inPlaneSpeed,

21 CFL,

22} from "./params.ts";

23import { fitSigma, fittedRate, t60At, LN1000, decayRate } from "./loss.ts";

24import { assemble, type LinearSystem } from "./model/assemble.ts";

25import { maxAngularFrequency, fullLoss, type FullLoss } from "./model/reference.ts";

26import { type ModeSet } from "./modal/modes.ts";

27import { WorkerPool } from "./modal/pool.ts";

28import { modalModel, modeShapeOnGrid, type ModalModel, type ContactResult } from "./modal/synth.ts";

29import { Simulation } from "./sim/simulation.ts";

30import { runSelfTest } from "./sim/selftest.ts";

31import { PlateRenderer, type ViewMode, type ColorMode } from "./render/renderer.ts";

32import { Spectrogram } from "./audio/spectrogram.ts";

33import { Player } from "./audio/player.ts";

34import { encodeWav } from "./audio/wav.ts";

35import { levelGain, applyLevel, peakDbfs, peakSpl, type LevelMode } from "./audio/level.ts";

36import { DesignEditor } from "./ui/editor.ts";

37import { ParamForm, formatNumber } from "./ui/form.ts";

38import { ModeBrowser } from "./ui/modes.ts";

40type RunMode = "linear" | "full";

41type ViewState = "design" | "mode" | "live" | "movie";

43const $ = <T extends HTMLElement>(id: string): T => document.getElementById(id) as T;

45/** A recording: the listener signal and the movie of one run, from either model. */

46interface Recording {

47 audio: Float32Array;

48 samples: number;

49 fs: number;

50 frames: Float32Array[];

51 fps: number;

52 source: RunMode;

53}

55class App {

56 // GPU

57 device: GPUDevice | null = null;

58 // Design and plate

59 design: Design | null = null;

60 plate: Plate | null = null;

61 plateSpacing = 0;

62 designGeneration = 0;

63 // Linear model

64 pool: WorkerPool | null = null;

65 sys: LinearSystem | null = null;

66 modes: ModeSet | null = null;

67 model: ModalModel | null = null;

68 modesBusy: Promise<void> = Promise.resolve();

69 /** Modes of recent designs, keyed by the script, the spacing and the cutoff; the newest entry is last. */

70 modesCache = new Map<string, { sys: LinearSystem; modes: ModeSet; model: ModalModel }>();

71 headProgress!: HTMLDivElement;

72 /** The cache key of the modes the pool currently holds. */

73 currentModesKey: string | null = null;

74 headProgressBar!: HTMLDivElement;

75 synthBusy = false;

76 synthPending = false;

77 synthesized = false;

78 lastContact: ContactResult | null = null;

79 // Full simulation

80 sim: Simulation | null = null;

81 running = false;

82 paused = false;

83 // Recording and view

84 rec: Recording | null = null;

85 view: ViewState = "design";

86 frameIndex = 0;

87 runMode: RunMode = "linear";

88 // UI

89 editor!: DesignEditor;

90 form!: ParamForm;

91 modeBrowser!: ModeBrowser;

92 renderer!: PlateRenderer;

93 spec!: Spectrogram;

94 player = new Player();

95 levelMode: LevelMode = "absolute";

96 gainDb = -40;

97 showTicks = true;

98 viewOpts = { mode: "3d" as ViewMode, color: "height" as ColorMode, showProfile: true, exaggeration: 1, range: 0 };

99 // Controls

100 runModeSel!: HTMLSelectElement;

101 durationInput!: HTMLInputElement;

102 startBtn!: HTMLButtonElement;

103 pauseBtn!: HTMLButtonElement;

104 stopBtn!: HTMLButtonElement;

105 continueBtn!: HTMLButtonElement;

106 runStatus!: HTMLDivElement;

107 scrub!: HTMLInputElement;

108 timeLabel!: HTMLSpanElement;

109 playBtn!: HTMLButtonElement;

110 liveBtn!: HTMLButtonElement;

111 designBtn!: HTMLButtonElement;

112 peakLabel!: HTMLSpanElement;

113 downloadBtn!: HTMLButtonElement;

114 overlay!: HTMLDivElement;

115 synthTimer: number | null = null;

116

117 async init(): Promise<void> {

118 const url = new URLSearchParams(location.search);

119 if (!url.has("nogpu") && navigator.gpu) {

120 try {

121 const adapter = await navigator.gpu.requestAdapter();

122 if (adapter) this.device = await adapter.requestDevice();

123 } catch (e) {

124 console.warn("WebGPU unavailable", e);

125 }

126 }

127 if (typeof Worker !== "undefined") this.pool = new WorkerPool(WorkerPool.defaultSize());

128

129 this.buildControls();

130 this.buildForm();

131 this.buildViewToolbar();

132 this.buildMovieToolbar();

133 this.buildSpecToolbar();

134 this.buildSplitter();

135

136 this.renderer = new PlateRenderer($("view"), this.device);

137 if (!this.renderer.has3d) this.viewOpts.mode = "2d";

138 this.renderer.setOptions(this.viewOpts);

139 this.overlay = $("viewOverlay");

140 const p = this.form.get();

141 this.spec = new Spectrogram($("spec"), { fs: p.fs, window: 2048, hop: 256, maxHz: 12000, dbRange: 80, logFreq: false });

142 this.spec.setDuration(p.duration);

143 this.modeBrowser = new ModeBrowser($("modes"), (m) => this.showMode(m));

144 this.editor = new DesignEditor($("design"), { onSource: (src) => this.onSource(src) });

145

146 if (url.has("mode")) this.setRunMode(url.get("mode") === "full" ? "full" : "linear");

147 else this.setRunMode(this.device ? "linear" : "linear");

148 // The parameters come first, so that the preset is evaluated at the requested spacing.

149 this.form.applyUrl(url);

150 this.durationInput.value = String(this.form.get().duration);

151 const preset = url.get("preset");

152 this.editor.selectPreset(preset && presetById(preset) ? preset : DEFAULT_PRESET);

153

154 const loop = () => {

155 this.renderer.render();

156 requestAnimationFrame(loop);

157 };

158 requestAnimationFrame(loop);

159 window.addEventListener("resize", () => { this.renderer.resize(); this.spec.resize(); });

160 this.renderer.resize();

161 this.spec.resize();

162

163 // Test hooks.

164 (window as unknown as { cymbalsim: unknown }).cymbalsim = {

165 app: this,

166 selftest: () => this.selfTest(),

167 runLinear: () => this.runLinear(),

168 runFull: () => this.runFull(),

169 modesReady: () => this.modesBusy,

170 status: () => this.testStatus(),

171 };

172 if (url.has("selftest")) {

173 const r = await this.selfTest();

174 this.overlay.textContent = r;

175 }

176 if (url.has("autostart")) {

177 await this.modesBusy;

178 this.start();

179 }

180 }

181

182 // ---------- Controls ----------

183

184 private buildControls(): void {

185 const c = $("controls");

186 this.runModeSel = document.createElement("select");

187 this.runModeSel.innerHTML = `<option value="linear">Linear (modal)</option><option value="full">Full (nonlinear, GPU)</option>`;

188 this.runModeSel.addEventListener("change", () => this.setRunMode(this.runModeSel.value as RunMode));

189 const durLabel = document.createElement("label");

190 durLabel.textContent = "Duration";

191 this.durationInput = document.createElement("input");

192 this.durationInput.type = "number"; this.durationInput.min = "0.1"; this.durationInput.step = "0.5"; this.durationInput.style.width = "60px";

193 this.durationInput.addEventListener("change", () => {

194 const d = Math.max(0.1, Number(this.durationInput.value) || 1);

195 this.form.set("duration", d);

196 this.spec.setDuration(d);

197 if (this.sim) this.sim.setDuration(d);

198 this.updateButtons();

199 });

200 const s = document.createElement("span"); s.textContent = " s";

201 durLabel.append(this.durationInput, s);

202 this.startBtn = this.button("Start", () => this.start(), "primary");

203 this.pauseBtn = this.button("Pause", () => this.pause());

204 this.stopBtn = this.button("Stop", () => this.stopRun());

205 this.continueBtn = this.button("Continue", () => this.continueRun());

206 c.append(this.runModeSel, durLabel, this.startBtn, this.pauseBtn, this.stopBtn, this.continueBtn);

207 this.headProgress = document.createElement("div");

208 this.headProgress.className = "progress";

209 this.headProgress.hidden = true;

210 this.headProgressBar = document.createElement("div");

211 this.headProgress.append(this.headProgressBar);

212 this.runStatus = document.createElement("div");

213 this.runStatus.className = "status";

214 $("sidebarHead").append(this.headProgress, this.runStatus);

215 }

216

217 /** The progress bar under the run controls (fraction 0..1, or null to hide) with a status message. */

218 private setProgress(fraction: number | null, message?: string): void {

219 this.headProgress.hidden = fraction === null;

220 if (fraction !== null) this.headProgressBar.style.width = `${Math.round(100 * fraction)}%`;

221 if (message !== undefined) this.runStatus.textContent = message;

222 }

223

224 private button(label: string, onClick: () => void, cls = ""): HTMLButtonElement {

225 const b = document.createElement("button");

226 b.textContent = label;

227 if (cls) b.className = cls;

228 b.addEventListener("click", onClick);

229 return b;

230 }

231

232 private buildForm(): void {

233 this.form = new ParamForm(

234 $("params"),

235 [

236 {

237 title: "Strike",

238 notes: true,

239 fields: [

240 { key: "strikeFracX", label: "Position x (fraction of width)", step: 0.05, min: 0, max: 1 },

241 { key: "strikeFracY", label: "Position y (fraction of height)", step: 0.05, min: 0, max: 1 },

242 { key: "strikeVelocity", label: "Stick speed", unit: "m/s", step: 0.5, min: 0.01 },

243 { key: "stickMass", label: "Stick mass", unit: "g", scale: 1e-3, step: 5, min: 1 },

244 { key: "contactStiffness", label: "Contact stiffness K", unit: "N/m^a", step: 1e8, min: 1e5 },

245 { key: "contactExponent", label: "Contact exponent a", step: 0.1, min: 1, max: 3 },

246 { key: "contactRadius", label: "Tip radius", unit: "mm", scale: 1e-3, step: 1, min: 0.5 },

247 ],

248 },

249 {

250 title: "Listener",

251 fields: [

252 { key: "listenerDist", label: "Distance", unit: "m", step: 0.1, min: 0.05, live: true },

253 { key: "listenerAngle", label: "Angle from the normal", unit: "deg", step: 5, min: 0, max: 90, live: true },

254 { key: "listenerAzimuth", label: "Azimuth", unit: "deg", step: 15, min: -180, max: 180, live: true },

255 ],

256 },

257 {

258 title: "Grid and numerics",

259 notes: true,

260 fields: [

261 { key: "spacing", label: "Grid spacing", unit: "mm", scale: 1e-3, step: 1, min: 2 },

262 { key: "modeMaxFreq", label: "Modes up to", unit: "Hz", step: 1000, min: 200 },

263 { key: "padLiftoff", label: "Pads lift off (full model)", kind: "checkbox" },

264 { key: "fs", label: "Sample rate", kind: "select", options: [{ value: 44100, label: "44.1 kHz" }, { value: 48000, label: "48 kHz" }, { value: 96000, label: "96 kHz" }] },

265 { key: "fps", label: "Movie frame rate", kind: "select", options: [{ value: 60, label: "60" }, { value: 120, label: "120" }, { value: 240, label: "240" }] },

266 ],

267 },

268 ],

269 defaultParams,

270 (key, _value, live) => this.onParam(key, live),

271 );

272 }

273

274 private onParam(key: keyof SimParams, live: boolean): void {

275 const p = this.form.get();

276 if (key === "spacing" || key === "modeMaxFreq" || key === "fs") {

277 if (this.design) this.rebuildPlate(this.design);

278 return;

279 }

280 if (key === "fps") { this.updateNotes(); return; }

281 if (key === "padLiftoff") { this.updateNotes(); return; }

282 if (live && this.sim) this.sim.setListener(p);

283 if (key.startsWith("strike") || key.startsWith("stick") || key.startsWith("contact") || key.startsWith("listener")) {

284 this.updateMarkers();

285 this.updateNotes();

286 if (this.runMode === "linear" && this.synthesized) this.scheduleSynth();

287 }

288 }

289

290 private buildViewToolbar(): void {

291 const t = $("viewToolbar");

292 const modeSel = document.createElement("select");

293 modeSel.innerHTML = `<option value="3d">3D</option><option value="2d">2D</option>`;

294 modeSel.addEventListener("change", () => { this.viewOpts.mode = modeSel.value as ViewMode; this.renderer.setOptions(this.viewOpts); });

295 const colorSel = document.createElement("select");

296 colorSel.innerHTML = `<option value="height">Height</option><option value="thickness">Thickness</option>`;

297 colorSel.addEventListener("change", () => { this.viewOpts.color = colorSel.value as ColorMode; this.renderer.setOptions(this.viewOpts); });

298 const exag = document.createElement("input");

299 exag.type = "number"; exag.min = "1"; exag.step = "5"; exag.value = String(this.viewOpts.exaggeration); exag.style.width = "60px";

300 exag.addEventListener("change", () => { this.viewOpts.exaggeration = Math.max(0.1, Number(exag.value) || 1); this.renderer.setOptions(this.viewOpts); });

301 const range = document.createElement("input");

302 range.type = "number"; range.min = "0"; range.step = "0.1"; range.value = "0"; range.style.width = "60px";

303 range.addEventListener("change", () => { this.viewOpts.range = Math.max(0, Number(range.value) || 0) * 1e-3; this.renderer.setOptions(this.viewOpts); });

304 const prof = document.createElement("input");

305 prof.type = "checkbox"; prof.checked = this.viewOpts.showProfile;

306 prof.addEventListener("change", () => { this.viewOpts.showProfile = prof.checked; this.renderer.setOptions(this.viewOpts); });

307 const lab = (text: string, ...els: HTMLElement[]) => { const l = document.createElement("label"); l.append(text, ...els); return l; };

308 t.append(lab("View", modeSel), lab("Color", colorSel), lab("Exaggeration", exag), lab("Range (mm, 0 = auto)", range), lab("Show profile", prof));

309 if (!this.device) {

310 modeSel.value = "2d"; modeSel.disabled = true;

311 const w = document.createElement("span"); w.id = "nogpu"; w.textContent = "WebGPU is not available: the 2D view and the linear model only.";

312 t.append(w);

313 }

314 }

315

316 private buildMovieToolbar(): void {

317 const t = $("movieToolbar");

318 this.playBtn = this.button("Play", () => this.togglePlay());

319 this.liveBtn = this.button("Live", () => this.setView("live"));

320 this.designBtn = this.button("Design", () => this.setView("design"));

321 this.scrub = document.createElement("input");

322 this.scrub.type = "range"; this.scrub.className = "scrub"; this.scrub.min = "0"; this.scrub.max = "0"; this.scrub.value = "0";

323 this.scrub.addEventListener("input", () => { this.frameIndex = Number(this.scrub.value); this.setView("movie"); this.showFrame(); });

324 this.timeLabel = document.createElement("span");

325 this.timeLabel.textContent = "0.000 s";

326 const levelSel = document.createElement("select");

327 levelSel.innerHTML = `<option value="absolute">Absolute level</option><option value="loudness">Normalize loudness</option><option value="peak">Normalize peak</option>`;

328 levelSel.addEventListener("change", () => { this.levelMode = levelSel.value as LevelMode; this.updatePeak(); });

329 const gain = document.createElement("input");

330 gain.type = "range"; gain.min = "-60"; gain.max = "40"; gain.step = "1"; gain.value = String(this.gainDb);

331 const gainLabel = document.createElement("span"); gainLabel.textContent = `${this.gainDb} dB`;

332 gain.addEventListener("input", () => { this.gainDb = Number(gain.value); gainLabel.textContent = `${this.gainDb} dB`; this.updatePeak(); });

333 this.peakLabel = document.createElement("span");

334 this.downloadBtn = this.button("Download .wav", () => this.download());

335 const lab = (text: string, ...els: HTMLElement[]) => { const l = document.createElement("label"); l.append(text, ...els); return l; };

336 t.append(this.playBtn, this.liveBtn, this.designBtn, this.scrub, this.timeLabel, levelSel, lab("Gain", gain, gainLabel), this.peakLabel, this.downloadBtn);

337 }

338

339 private buildSpecToolbar(): void {

340 const t = $("specToolbar");

341 const sel = (opts: [string, string][], value: string, onChange: (v: string) => void) => {

342 const s = document.createElement("select");

343 for (const [v, l] of opts) { const o = document.createElement("option"); o.value = v; o.textContent = l; s.append(o); }

344 s.value = value;

345 s.addEventListener("change", () => onChange(s.value));

346 return s;

347 };

348 const lab = (text: string, ...els: HTMLElement[]) => { const l = document.createElement("label"); l.append(text, ...els); return l; };

349 const win = sel([["512", "512"], ["1024", "1024"], ["2048", "2048"], ["4096", "4096"]], "2048", (v) => this.spec.setOptions({ window: Number(v), hop: Number(v) / 8 }));

350 const maxHz = sel([["4000", "4 kHz"], ["8000", "8 kHz"], ["12000", "12 kHz"], ["16000", "16 kHz"], ["20000", "20 kHz"]], "12000", (v) => this.spec.setOptions({ maxHz: Number(v) }));

351 const db = sel([["60", "60 dB"], ["80", "80 dB"], ["100", "100 dB"]], "80", (v) => this.spec.setOptions({ dbRange: Number(v) }));

352 const log = document.createElement("input"); log.type = "checkbox";

353 log.addEventListener("change", () => this.spec.setOptions({ logFreq: log.checked }));

354 const ticks = document.createElement("input"); ticks.type = "checkbox"; ticks.checked = this.showTicks;

355 ticks.addEventListener("change", () => { this.showTicks = ticks.checked; this.updateTicks(); });

356 t.append(lab("Spectrogram window", win), lab("Max", maxHz), lab("Range", db), lab("Log frequency", log), lab("Modal frequencies", ticks));

357 }

358

359 private buildSplitter(): void {

360 const sp = $("splitter"), sb = $("sidebar");

361 const saved = localStorage.getItem("cymbalsim.sidebar");

362 if (saved) sb.style.width = saved;

363 let dragging = false;

364 sp.addEventListener("mousedown", (e) => { dragging = true; e.preventDefault(); });

365 window.addEventListener("mousemove", (e) => {

366 if (!dragging) return;

367 const w = Math.max(280, Math.min(window.innerWidth - 300, e.clientX));

368 sb.style.width = `${w}px`;

369 this.renderer.resize(); this.spec.resize();

370 });

371 window.addEventListener("mouseup", () => { if (dragging) { dragging = false; localStorage.setItem("cymbalsim.sidebar", sb.style.width); } });

372 sp.addEventListener("dblclick", () => { sb.style.width = ""; localStorage.removeItem("cymbalsim.sidebar"); this.renderer.resize(); this.spec.resize(); });

373 }

374

375 // ---------- Design ----------

376

377 private onSource(source: string): void {

378 if (this.running) return;

379 let d: Design;

380 try {

381 d = compileDesign(source);

382 } catch (e) {

383 this.editor.setStatus(e instanceof Error ? e.message : String(e), "error");

384 return;

385 }

386 this.editor.setStatus(`Compiled: ${d.name}`, "ok");

387 this.rebuildPlate(d);

388 }

389

390 private rebuildPlate(d: Design): void {

391 const p = this.form.get();

392 let plate: Plate;

393 try {

394 plate = evaluatePlate(d, p.spacing);

395 } catch (e) {

396 this.editor.setStatus(e instanceof DesignError ? e.message : String(e), "error");

397 return;

398 }

399 this.design = d;

400 this.plate = plate;

401 this.plateSpacing = p.spacing;

402 this.designGeneration++;

403 this.modes = null; this.model = null; this.sys = null;

404 this.synthesized = false;

405 this.lastContact = null;

406 this.rec = null;

407 this.spec.reset();

408 this.spec.setOptions({ fs: p.fs });

409 this.renderer.setPlate(plate);

410 this.setView("design");

411 this.updateMarkers();

412 this.updateDesignInfo();

413 this.updateNotes();

414 this.updateButtons();

415 if (this.runMode === "linear") this.useCachedModes();

416 else this.modeBrowser.clear("Switch to the linear model to compute the modes.");

417 }

418

419 /** The cache key of the modes of the current design and numerics. */

420 private modesKey(): string | null {

421 if (!this.design || !this.plate) return null;

422 const p = this.form.get();

423 return `${this.plateSpacing}|${Math.min(p.modeMaxFreq, p.fs / 2)}|${this.design.source}`;

424 }

425

426 /** Installs cached modes for the current design if there are any; otherwise leaves the browser empty. */

427 private useCachedModes(): void {

428 const key = this.modesKey();

429 const hit = key ? this.modesCache.get(key) : undefined;

430 if (hit && this.plate) {

431 this.installModes(hit.sys, hit.modes, hit.model, null);

432 if (this.pool) void this.pool.setModel(hit.model);

433 } else this.modeBrowser.clear("Press Synthesize to compute the modes of this design.");

434 }

435

436 /** Shows a mode set in the browser, the notes and the spectrogram ticks. */

437 private installModes(sys: LinearSystem, modes: ModeSet, model: ModalModel, secs: number | null): void {

438 const pl = this.plate!;

439 const p = this.form.get();

440 const fMax = Math.min(p.modeMaxFreq, p.fs / 2);

441 this.sys = sys; this.modes = modes; this.model = model;

442 const rows = Array.from(modes.freqs).map((f, m) => ({ freq: f, t60: LN1000 / Math.min(decayRate(pl.loss, f) + model.padSigma[m], 0.99 * 2 * Math.PI * f) }));

443 const kind = sys.fields === 1 ? "bending modes" : "modes (bending coupled to stretching)";

444 const when = secs === null ? "cached" : `in ${secs.toFixed(1)} s`;

445 this.modeBrowser.setModes(rows, `${modes.count} ${kind} up to ${(fMax / 1e3).toFixed(1)} kHz, ${when} (${sys.n} unknowns${modes.missing ? `, ${modes.missing} missing` : ""}). Click a mode to see its shape.`);

446 this.updateNotes();

447 this.updateTicks();

448 this.updateButtons();

449 }

450

451 private updateDesignInfo(): void {

452 const pl = this.plate;

453 if (!pl) return;

454 const p = this.form.get();

455 const g = pl.grid;

456 const { mass } = massProperties(pl);

457 const hr = thicknessRange(pl);

458 const ps = profileStats(pl);

459 const sr = standRates(pl);

460 const lines: string[] = [];

461 lines.push(`${pl.name}: ${(pl.Lx * 1e3).toFixed(0)} x ${(pl.Ly * 1e3).toFixed(0)} mm, E = ${(pl.mat.E / 1e9).toFixed(0)} GPa, nu = ${pl.mat.nu}, rho = ${pl.mat.rho} kg/m^3`);

462 lines.push(`Thickness ${(hr.min * 1e3).toFixed(2)} to ${(hr.max * 1e3).toFixed(2)} mm, mass ${(mass * 1e3).toFixed(0)} g, grid ${g.nx} x ${g.ny} at ${(g.hx * 1e3).toFixed(2)} mm (${countInside(g)} nodes)`);

463 if (ps.peakToPeak > 0) {

464 const warn = ps.maxSlope > 0.1 ? ` <span class="warn">(above the shallow-shell range of about 0.1)</span>` : "";

465 lines.push(`Profile ${(ps.peakToPeak * 1e3).toFixed(1)} mm peak to peak, largest slope ${ps.maxSlope.toFixed(3)}${warn}`);

466 } else lines.push("Flat plate (no profile): the linear model is bending only");

467 if (pl.stand && sr) {

468 const pad = pl.stand.pad;

469 lines.push(`Stand: ${pl.stand.topPad ? "two pads" : "bottom pad only"}, ${(pad.innerRadius * 1e3).toFixed(0)} to ${(pad.outerRadius * 1e3).toFixed(0)} mm, ${(pad.thickness * 1e3).toFixed(0)} mm felt at ${(pad.E / 1e6).toFixed(2)} MPa; ${(sr.totalKw / 1e3).toFixed(0)} kN/m, bounce ${sr.bounceHz.toFixed(0)} Hz, ${sr.nodes.length} pad nodes, preload ${(sr.preloadTop * 1e3).toFixed(2)} / ${(sr.preloadBottom * 1e3).toFixed(2)} mm`);

470 } else lines.push("Free plate (no stand)");

471 lines.push(`Decay T60: ${t60At(pl.loss, 100).toFixed(2)} s at 100 Hz, ${t60At(pl.loss, 1000).toFixed(2)} s at 1 kHz, ${t60At(pl.loss, 5000).toFixed(2)} s at 5 kHz`);

472 void p;

473 $("designInfo").innerHTML = lines.join("\n");

474 }

475

476 private updateNotes(): void {

477 const pl = this.plate;

478 if (!pl) return;

479 const p = this.form.get();

480 const g = pl.grid;

481 const hm = meanThickness(pl);

482 const f3 = dispersionFrequency(pl.mat, hm, g.hx, 0.03), f10 = dispersionFrequency(pl.mat, hm, g.hx, 0.1);

483 const wmax = maxAngularFrequency(g, pl.mat, thicknessRange(pl).max);

484 const dtMax = (CFL * 2) / wmax;

485 const sps = Math.ceil(1 / (p.fs * dtMax));

486 const dt = 1 / (p.fs * sps);

487 const fit = fitSigma(pl.loss, pl.mat, hm);

488 const t60f = (f: number) => (LN1000 / fittedRate(fit, f)).toFixed(2);

489 const lines = [

490 `Grid ${g.nx} x ${g.ny}, ${countInside(g)} plate nodes. Grid dispersion lowers the bending partials by 3% near ${(f3 / 1e3).toFixed(1)} kHz and by 10% near ${(f10 / 1e3).toFixed(1)} kHz (at the mean thickness).`,

491 `Linear model: modes up to ${(p.modeMaxFreq / 1e3).toFixed(1)} kHz${this.modes ? `, ${this.modes.count} found in ${this.modes.seconds.toFixed(1)} s` : ""}${this.modes && this.modes.missing ? ` <span class="warn">(${this.modes.missing} missing)</span>` : ""}.`,

492 `Full model: time step ${(dt * 1e6).toFixed(2)} us (${sps} per sample, in-plane wave speed ${inPlaneSpeed(pl.mat).toFixed(0)} m/s), ${((p.duration * p.fs * sps) / 1e6).toFixed(1)} million steps for ${p.duration} s. Losses fitted as sigma0 = ${fit.sigma0.toFixed(2)} 1/s, sigma1 = ${fit.sigma1.toExponential(2)} m^2/s: T60 ${t60f(100)} / ${t60f(1000)} / ${t60f(5000)} s at 100 Hz / 1 kHz / 5 kHz (requested ${t60At(pl.loss, 100).toFixed(2)} / ${t60At(pl.loss, 1000).toFixed(2)} / ${t60At(pl.loss, 5000).toFixed(2)}).`,

493 ];

494 this.form.setNotes("Grid and numerics", lines.join("\n"));

495 const patch = strikePatch(pl, p);

496 const sp = strikePoint(pl, p);

497 const sl = [`Strike at (${(sp.x * 1e3).toFixed(0)}, ${(sp.y * 1e3).toFixed(0)}) mm on ${patch.nodes.length} node${patch.nodes.length === 1 ? "" : "s"} (${(patch.mass * 1e3).toFixed(2)} g).`];

498 if (this.lastContact) sl.push(`Last linear strike: peak force ${this.lastContact.peakForce.toFixed(0)} N, contact ${(this.lastContact.contactTime * 1e3).toFixed(2)} ms.`);

499 if (this.sim) { const st = this.sim.status().stick; sl.push(`Full simulation: peak force ${st.maxForce.toFixed(0)} N${st.withdrawn ? ", stick withdrawn" : ""}.`); }

500 this.form.setNotes("Strike", sl.join("\n"));

501 }

502

503 private updateMarkers(): void {

504 const pl = this.plate;

505 if (!pl) return;

506 const p = this.form.get();

507 const sp = strikePoint(pl, p);

508 const L = listenerPosition(p);

509 this.renderer.setMarkers({

510 strike: { x: sp.x, y: sp.y, radius: p.contactRadius },

511 stand: pl.stand ? { x: pl.stand.x, y: pl.stand.y, innerRadius: pl.stand.pad.innerRadius, outerRadius: pl.stand.pad.outerRadius } : null,

512 listener: L,

513 });

514 }

515

516 // ---------- Linear model ----------

517

518 /** Computes the modes of the current design unless they are cached; resolves when they are installed (or with an error). */

519 private computeModes(): Promise<void> {

520 const pl = this.plate, gen = this.designGeneration, key = this.modesKey();

521 if (!pl || !key) return Promise.resolve();

522 const hit = this.modesCache.get(key);

523 if (hit) {

524 if (this.model !== hit.model) { this.installModes(hit.sys, hit.modes, hit.model, null); if (this.pool) return this.pool.setModel(hit.model); }

525 return Promise.resolve();

526 }

527 const p = this.form.get();

528 const fMax = Math.min(p.modeMaxFreq, p.fs / 2);

529 this.modeBrowser.clear("Computing the modes...");

530 this.setProgress(0, "Computing the modes...");

531 this.updateButtons();

532 this.modesBusy = this.modesBusy.then(async () => {

533 if (gen !== this.designGeneration) return;

534 const t0 = performance.now();

535 let sys: LinearSystem;

536 try {

537 sys = assemble(pl);

538 } catch (e) {

539 this.setProgress(null, `Assembly failed: ${e instanceof Error ? e.message : String(e)}`);

540 throw e;

541 }

542 let modes: ModeSet;

543 try {

544 if (this.pool) modes = await this.pool.modes(sys, fMax, (d, t) => { if (gen === this.designGeneration) this.setProgress(t ? d / t : 0, `Computing the modes: slice ${d} of ${t}`); });

545 else {

546 const { computeModes, localRunner } = await import("./modal/modes.ts");

547 modes = await computeModes(sys, fMax, localRunner(sys));

548 }

549 } catch (e) {

550 this.setProgress(null, `Mode computation failed: ${e instanceof Error ? e.message : String(e)}`);

551 throw e;

552 }

553 const model = modalModel(pl, sys, modes);

554 this.modesCache.set(key, { sys, modes, model });

555 while (this.modesCache.size > 4) this.modesCache.delete(this.modesCache.keys().next().value!);

556 if (gen !== this.designGeneration) { this.setProgress(null); return; }

557 if (this.pool) await this.pool.setModel(model);

558 this.setProgress(null, "");

559 this.installModes(sys, modes, model, (performance.now() - t0) / 1000);

560 });

561 return this.modesBusy;

562 }

563

564 private showMode(m: number | null): void {

565 if (m === null) { this.setView(this.rec ? "movie" : "design"); return; }

566 if (!this.model) return;

567 this.view = "mode";

568 const shape = modeShapeOnGrid(this.model, m);

569 // Scale the mass-normalized shape to a visible amplitude: 1 mm peak.

570 let peak = 0;

571 for (const v of shape) peak = Math.max(peak, Math.abs(v));

572 const w = new Float32Array(shape.length);

573 for (let k = 0; k < w.length; k++) w[k] = (shape[k] / (peak || 1)) * 1e-3;

574 this.renderer.setField(w);

575 this.overlay.textContent = `Mode ${m + 1}: ${this.model.freqs[m].toFixed(1)} Hz (shape scaled to 1 mm)`;

576 }

577

578 private scheduleSynth(): void {

579 if (this.synthTimer !== null) clearTimeout(this.synthTimer);

580 this.synthTimer = window.setTimeout(() => { this.synthTimer = null; void this.runLinear(); }, 250);

581 }

582

583 /** Synthesizes the strike with the current parameters (linear model). */

584 async runLinear(): Promise<void> {

585 if (!this.plate) return;

586 if (this.synthBusy) { this.synthPending = true; return; }

587 if (!this.model || this.modesKey() !== this.currentModesKey) {

588 try {

589 await this.computeModes();

590 } catch {

591 return;

592 }

593 this.currentModesKey = this.modesKey();

594 }

595 const pl = this.plate, model = this.model;

596 if (!pl || !model) return;

597 this.synthBusy = true;

598 const p = this.form.get();

599 const gen = this.designGeneration;

600 const t0 = performance.now();

601 this.runStatus.textContent = "Synthesizing...";

602 try {

603 let audio: Float32Array, frames: Float32Array, nFrames: number, contact: ContactResult;

604 if (this.pool) {

605 const r = await this.pool.synthesize(model, pl, pl.loss, p, (a, c) => {

606 if (gen !== this.designGeneration) return;

607 this.installRecording(a, [], p, "linear");

608 this.lastContact = c;

609 this.runStatus.textContent = `Audio ready in ${((performance.now() - t0) / 1000).toFixed(2)} s; movie frames...`;

610 });

611 audio = r.audio; frames = r.frames; nFrames = r.nFrames; contact = r.contact;

612 } else {

613 const { synthesize } = await import("./modal/synth.ts");

614 const r = synthesize(model, pl, pl.loss, p, true);

615 audio = r.audio; frames = r.frames; nFrames = r.nFrames; contact = r.contact;

616 }

617 if (gen !== this.designGeneration) return;

618 const n = pl.grid.n;

619 const frameList: Float32Array[] = [];

620 for (let f = 0; f < nFrames; f++) frameList.push(frames.subarray(f * n, (f + 1) * n));

621 this.installRecording(audio, frameList, p, "linear");

622 this.lastContact = contact;

623 this.synthesized = true;

624 const secs = (performance.now() - t0) / 1000;

625 this.runStatus.textContent = `Linear model: ${model.count} modes, ${p.duration} s synthesized in ${secs.toFixed(2)} s. Peak ${peakSpl(audio).toFixed(0)} dB SPL, contact ${(contact.contactTime * 1e3).toFixed(2)} ms, peak force ${contact.peakForce.toFixed(0)} N.`;

626 this.updateNotes();

627 } catch (e) {

628 this.runStatus.textContent = `Synthesis failed: ${e instanceof Error ? e.message : String(e)}`;

629 } finally {

630 this.synthBusy = false;

631 if (this.synthPending) { this.synthPending = false; void this.runLinear(); }

632 }

633 }

634

635 // ---------- Full simulation ----------

636

637 async runFull(): Promise<void> {

638 const pl = this.plate;

639 if (!pl || !this.device || this.running) return;

640 const p = this.form.get();

641 this.sim?.destroy();

642 const hm = meanThickness(pl);

643 const fit = fitSigma(pl.loss, pl.mat, hm);

644 const loss: FullLoss = fullLoss(fit, standRates(pl), decayRate(pl.loss, 5000));

645 this.sim = new Simulation(this.device, pl, p, loss);

646 this.rec = { audio: new Float32Array(0), samples: 0, fs: p.fs, frames: [new Float32Array(pl.grid.n)], fps: p.fps, source: "full" };

647 this.spec.reset();

648 this.spec.setOptions({ fs: p.fs });

649 this.spec.setDuration(p.duration);

650 this.running = true;

651 this.paused = false;

652 this.setLocked(true);

653 this.setView("live");

654 this.updateButtons();

655 await this.fullLoop();

656 }

657

658 private async fullLoop(): Promise<void> {

659 const sim = this.sim;

660 if (!sim) return;

661 const t0 = performance.now();

662 let lastUi = 0;

663 while (this.running && sim.phase === "recording") {

664 if (this.paused) { await new Promise((r) => setTimeout(r, 50)); continue; }

665 await sim.runBatch();

666 if (!this.rec || this.sim !== sim) break;

667 // New audio and frames.

668 const rec = this.rec;

669 const newSamples = sim.samples - rec.samples;

670 if (newSamples > 0) {

671 const chunk = sim.audio.subarray(rec.samples, sim.samples);

672 this.spec.append(chunk);

673 rec.audio = sim.audio; rec.samples = sim.samples;

674 }

675 rec.frames = sim.frames;

676 if (this.view === "live") this.renderer.setField(sim.frames[sim.frames.length - 1]);

677 const now = performance.now();

678 if (now - lastUi > 100) {

679 lastUi = now;

680 const st = sim.status();

681 const elapsed = (now - t0) / 1000;

682 this.runStatus.textContent = `Full model: t = ${st.t.toFixed(3)} s, ${(st.totalSteps / elapsed / 1000).toFixed(0)}k steps/s (${(elapsed / Math.max(st.t, 1e-3)).toFixed(0)} s per second of sound), peak ${peakSpl(sim.recordedAudio()).toFixed(0)} dB SPL, stick force ${st.stick.force.toFixed(0)} N${st.delayClamped ? ", delay spread clamped" : ""}`;

683 this.scrub.max = String(Math.max(0, rec.frames.length - 1));

684 this.updatePeak();

685 }

686 }

687 if (this.sim === sim) {

688 this.running = false;

689 this.setLocked(false);

690 const st = sim.status();

691 this.runStatus.textContent = `Full model: ${st.t.toFixed(2)} s recorded, peak ${peakSpl(sim.recordedAudio()).toFixed(0)} dB SPL, peak force ${st.stick.maxForce.toFixed(0)} N, largest displacement ${(st.wmax * 1e3).toFixed(2)} mm.`;

692 if (this.rec) { this.rec.audio = sim.recordedAudio(); this.rec.samples = sim.samples; this.rec.frames = sim.frames; }

693 this.updateNotes();

694 this.updateButtons();

695 this.updatePeak();

696 }

697 }

698

699 // ---------- Run control ----------

700

701 private setRunMode(mode: RunMode): void {

702 if (mode === "full" && !this.device) mode = "linear";

703 this.runMode = mode;

704 this.runModeSel.value = mode;

705 if (mode === "linear" && this.plate && !this.modes) this.useCachedModes();

706 if (mode === "full") this.modeBrowser.clear("Switch to the linear model to compute the modes.");

707 this.updateButtons();

708 }

709

710 private start(): void {

711 if (this.runMode === "linear") void this.runLinear();

712 else void this.runFull();

713 }

714 private pause(): void {

715 if (!this.running) return;

716 this.paused = !this.paused;

717 this.pauseBtn.textContent = this.paused ? "Resume" : "Pause";

718 }

719 private stopRun(): void {

720 if (this.sim && this.running) { this.sim.stop(); this.running = false; }

721 this.paused = false;

722 this.pauseBtn.textContent = "Pause";

723 this.setLocked(false);

724 this.updateButtons();

725 }

726 private continueRun(): void {

727 const sim = this.sim;

728 if (!sim || this.running || !sim.canContinue()) return;

729 sim.setDuration(this.form.get().duration);

730 this.running = true;

731 this.setLocked(true);

732 this.setView("live");

733 this.updateButtons();

734 void this.fullLoop();

735 }

736

737 private setLocked(locked: boolean): void {

738 this.editor.setLocked(locked);

739 this.form.setLocked(locked);

740 this.runModeSel.disabled = locked;

741 }

742

743 private updateButtons(): void {

744 const linear = this.runMode === "linear";

745 const canLinear = linear && !!this.plate && !this.synthBusy;

746 const canFull = !linear && !!this.plate && !!this.device && !this.running;

747 this.startBtn.disabled = !(canLinear || canFull);

748 this.startBtn.textContent = linear ? "Synthesize" : "Start";

749 this.pauseBtn.disabled = linear || !this.running;

750 this.stopBtn.disabled = linear || !this.running;

751 this.continueBtn.disabled = linear || this.running || !this.sim || !this.sim.canContinue() || this.sim.samples >= Math.round(this.form.get().duration * this.form.get().fs);

752 this.pauseBtn.hidden = linear; this.stopBtn.hidden = linear; this.continueBtn.hidden = linear;

753 this.liveBtn.hidden = linear;

754 }

755

756 // ---------- Recording, view, playback ----------

757

758 private installRecording(audio: Float32Array, frames: Float32Array[], p: SimParams, source: RunMode): void {

759 this.rec = { audio, samples: audio.length, fs: p.fs, frames, fps: p.fps, source };

760 this.spec.setOptions({ fs: p.fs });

761 this.spec.setDuration(p.duration);

762 this.spec.setSignal(audio);

763 this.scrub.max = String(Math.max(0, frames.length - 1));

764 if (frames.length > 0) {

765 this.frameIndex = 0;

766 if (this.view !== "mode") { this.setView("movie"); this.showFrame(); }

767 }

768 this.updatePeak();

769 this.updateButtons();

770 }

771

772 private setView(v: ViewState): void {

773 this.view = v;

774 if (v === "design") { this.renderer.setField(null); this.overlay.textContent = this.plate ? "Stress-free shape" : ""; }

775 else if (v === "live") { this.overlay.textContent = "Live"; if (this.sim) this.renderer.setField(this.sim.frames[this.sim.frames.length - 1]); }

776 else if (v === "movie") this.showFrame();

777 }

778

779 private showFrame(): void {

780 const rec = this.rec;

781 if (!rec || rec.frames.length === 0) return;

782 const f = Math.max(0, Math.min(rec.frames.length - 1, this.frameIndex));

783 this.frameIndex = f;

784 this.scrub.value = String(f);

785 this.timeLabel.textContent = `${(f / rec.fps).toFixed(3)} s`;

786 this.renderer.setField(rec.frames[f]);

787 this.overlay.textContent = `${rec.source === "linear" ? "Linear" : "Full"} model, t = ${(f / rec.fps).toFixed(3)} s`;

788 }

789

790 private playable(): Float32Array | null {

791 const rec = this.rec;

792 if (!rec || rec.samples === 0) return null;

793 const sig = rec.audio.subarray(0, rec.samples);

794 return applyLevel(sig, levelGain(sig, rec.fs, this.levelMode, this.gainDb));

795 }

796

797 private updatePeak(): void {

798 const s = this.playable();

799 if (!s) { this.peakLabel.textContent = ""; this.downloadBtn.disabled = true; this.playBtn.disabled = true; return; }

800 const db = peakDbfs(s);

801 this.peakLabel.textContent = `Peak ${db.toFixed(1)} dBFS${db > -0.5 ? " (clipping)" : ""}`;

802 this.peakLabel.className = db > -0.5 ? "badge warn" : "badge";

803 this.downloadBtn.disabled = false;

804 this.playBtn.disabled = false;

805 }

806

807 private togglePlay(): void {

808 if (this.player.playing) { this.player.stop(); this.playBtn.textContent = "Play"; this.spec.setCursor(null); return; }

809 const s = this.playable(), rec = this.rec;

810 if (!s || !rec) return;

811 // Play from the scrubbed position only when the user has scrubbed to one; from the live

812 // view, or from the end of the recording, start over.

813 const atEnd = rec.frames.length > 1 && this.frameIndex >= rec.frames.length - 1;

814 const start = this.view === "movie" && rec.frames.length > 1 && !atEnd ? this.frameIndex / rec.fps : 0;

815 this.playBtn.textContent = "Stop";

816 const prevView = this.view;

817 this.player.play(s, rec.fs, start, () => { this.playBtn.textContent = "Play"; this.spec.setCursor(null); if (prevView === "live") this.setView("live"); });

818 const tick = () => {

819 if (!this.player.playing) return;

820 const t = this.player.position();

821 this.spec.setCursor(t);