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7 <title>turing-surface — reaction-diffusion on closed surfaces, live in the browser</title>
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232 </head>
233 <body>
234 <main>
235 <h1>turing-surface</h1>
236 <p class="sub">
237 Reaction-diffusion on closed surfaces, solved live with spherical
238 harmonics on WebGPU via
239 <a href="https://github.com/concept-collection/shtns-webgpu">shtns-webgpu</a>.
240 Both the solver and the shape are the MATLAB below, run in your
241 browser by <a href="https://numbl.org">numbl</a>. Edit either and watch
242 it change. Drag to rotate.
243 </p>
244 <div class="modes" id="modebar">
245 <button type="button" class="chip" id="mode-simulate" aria-pressed="true">Simulate</button>
246 <button type="button" class="chip" id="mode-effort"
247 title="Run several solver settings side by side on one clock">Compare computational effort</button>
248 <button type="button" class="chip" id="mode-vs-sphere" disabled title="Coming soon">Compare against sphere (Coming soon)</button>
249 <button type="button" class="chip" id="mode-vs-upload"
250 title="Check this solver against a saved reference run">
251 Compare against uploaded data</button>
252 <input type="file" id="cmp-file" accept=".h5" hidden>
253 </div>
254 <div class="controls ctrl-group" data-group="surface">
255 <label>reaction-diffusion model
256 <select id="model"></select>
257 </label>
258 <label title="The surface the pattern is solved on. Swapping it does not recompile the solver or restart the run.">geometry
259 <select id="geometry"></select>
260 </label>
261 </div>
262 <div class="ctrl-group" data-group="surface-params">
263 <div class="controls" id="params"></div>
264 <div class="controls" id="geomparams"></div>
265 </div>
266 <div class="controls" id="comparebar" hidden>
267 <div class="cmp-axes">
268 <div class="cmp-axis">
269 <span title="Iterations of the implicit diffusion solve">solve iters</span>
270 <span id="cmp-niter" class="chips"></span>
271 </div>
272 <div class="cmp-axis">
273 <span>lmax</span>
274 <span id="cmp-lmax" class="chips"></span>
275 </div>
276 <div class="cmp-axis">
277 <span title="Timestep, as a divisor of the model's dt. Divisors keep every variant on the same clock exactly.">dt</span>
278 <span id="cmp-dt" class="chips"></span>
279 </div>
280 </div>
281 <label title="The run everything else is measured against">reference
282 <select id="cmp-ref"></select>
283 </label>
284 <span id="cmp-fileinfo" class="stats" hidden></span>
285 <button id="cmp-fileclear" hidden
286 title="Drop the reference file and compare the variants against each other again">×</button>
287 <button id="cmp-start" class="primary">Compile comparison</button>
288 <span id="cmp-count" class="stats"></span>
289 </div>
290 <div class="controls ctrl-group" data-group="solver">
291 <label title="Iterations of the implicit diffusion solve. Changing it recompiles.">solve iters
292 <select id="niter">
293 <option value="0">0</option>
294 <option value="1">1</option>
295 <option value="2">2</option>
296 <option value="4">4</option>
297 <option value="8" selected>8</option>
298 <option value="16">16</option>
299 <option value="32">32</option>
300 <option value="64">64</option>
301 <option value="128">128</option>
302 </select>
303 </label>
304 <label>lmax
305 <select id="lmax">
306 <option value="31">31</option>
307 <option value="63" selected>63</option>
308 <option value="127">127</option>
309 <option value="255">255</option>
310 </select>
311 </label>
312 </div>
313 <div class="controls ctrl-group" data-group="display">
314 <label title="Render on a finer grid. Display only.">display oversampling
315 <select id="oversample">
316 <option value="auto" selected>auto</option>
317 <option value="1">off</option>
318 <option value="2">2×</option>
319 <option value="4">4×</option>
320 <option value="8">8×</option>
321 </select>
322 </label>
323 <label>colormap
324 <select id="colormap"></select>
325 </label>
326 <label title="Blend between the sphere (0) and the surface (1). Display only.">morph
327 <input type="range" id="morph" min="0" max="1" step="0.01" value="1" />
328 </label>
329 <button id="resetview">Reset view</button>
330 </div>
331 <div class="controls ctrl-group" data-group="playback">
332 <button id="runpause" class="primary">Run</button>
333 </div>
334 <div class="controls ctrl-group" data-group="benchmark">
335 <button id="benchmark">Benchmark</button>
336 </div>
337 <div class="controls ctrl-group" data-group="seed">
338 <label title="Wavelength of the smooth random field the initial condition is seeded from (chebfun's randnfun3, restricted to the surface). An absolute length in the surface's own units, as in chebfun — not a fraction of its size — so smaller means finer features to grow from. Nothing caps it but memory and patience — 0.02 takes about 3 s to seed, 0.01 about 25 s — but it is only *useful* down to about 2*pi/lmax (0.1 at lmax 63): below that the field carries more detail than the grid holds, init's analys discards it, and the seed gets weaker rather than finer. Raise lmax to go finer.">seed λ
339 <input id="lam3" type="number" min="0" step="0.05" value="0.5">
340 </label>
341 <button id="reseed">Re-seed</button>
342 </div>
343 <div class="controls ctrl-group" data-group="movie">
344 <button id="movietoggle" title="Export the run as an MP4 movie">Export movie</button>
345 <div class="controls" id="moviebar" hidden>
346 <label title="Simulation-time units per second of video">movie speed
347 <select id="moviespeed">
348 <option value="0.1">0.1×</option>
349 <option value="0.5">0.5×</option>
350 <option value="1">1×</option>
351 <option value="3">3×</option>
352 <option value="5">5×</option>
353 <option value="10" selected>10×</option>
354 <option value="20">20×</option>
355 </select>
356 </label>
357 <label title="Size of each sphere panel in the video, in pixels">resolution
358 <select id="movieres">
359 <option value="480">480</option>
360 <option value="640">640</option>
361 <option value="768" selected>768</option>
362 <option value="1080">1080</option>
363 <option value="1440">1440</option>
364 </select>
365 </label>
366 <label title="Slowly orbit the camera during the movie">
367 <input type="checkbox" id="movierotate" checked /> auto-rotate
368 </label>
369 <button id="movie" title="Replay the run from t = 0 and download an MP4">Export</button>
370 </div>
371 </div>
372 <p id="geomnote" class="stats"></p>
373 <div id="panels"></div>
374 <p class="stats" id="stats"></p>
375 <p class="stats" id="benchresult"></p>
376 <div class="editor">
377 <div class="editor-head">
378 <span>
379 <select id="editor-file" aria-label="file to edit"></select>
380 <span id="editor-title"></span>
381 </span>
382 <span>
383 <button id="recompile" type="button">Recompile</button>
384 <button id="revert" type="button">Revert</button>
385 </span>
386 </div>
387 <div class="editor-body">
388 <div class="editor-code">
389 <pre id="highlight" aria-hidden="true"></pre>
390 <textarea
391 id="source"
392 spellcheck="false"
393 autocomplete="off"
394 autocapitalize="off"
395 aria-label="model source (MATLAB)"
396 ></textarea>
397 </div>
398 <pre id="compiled"></pre>
399 </div>
400 </div>
401 <div class="cli">
402 <div class="cli-head">
403 <span>The same run on the desktop</span>
404 <button id="copycmd" type="button">Copy</button>
405 </div>
406 <code id="cmd"></code>
407 </div>
408 <p id="blurb"></p>
409 <p id="err"></p>
410 </main>
411 <script type="module" src="/src/main.ts"></script>
412 </body>
413</html>