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7 <title>turing-surface — reaction-diffusion on closed surfaces, live in the browser</title>
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f467ffaCompare several solver settings side by side, on one clockJeremy Magland 157 /* ---- compare mode ------------------------------------------------ */
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0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 214 .tok-com { color: var(--tok-com); }
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219 </style>
220 </head>
221 <body>
222 <main>
223 <h1>turing-surface</h1>
224 <p class="sub">
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 225 Reaction-diffusion on closed surfaces, solved live with spherical
226 harmonics on WebGPU via
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 227 <a href="https://github.com/concept-collection/shtns-webgpu">shtns-webgpu</a>.
f132fe4Drop the work-in-progress bannerDan Fortunato 228 Both the solver and the shape are the MATLAB below, run in your
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 229 browser by <a href="https://numbl.org">numbl</a>. Edit either and watch
230 it change. Drag to rotate.
232 <div class="controls">
233 <label>preset
234 <select id="model"></select>
235 </label>
f132fe4Drop the work-in-progress bannerDan Fortunato 236 <label title="The surface the pattern is solved on. Swapping it does not recompile the solver or restart the run.">geometry
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 237 <select id="geometry"></select>
238 </label>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 239 <label title="Blend between the sphere (0) and the surface (1). Display only.">morph
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 240 <input type="range" id="morph" min="0" max="1" step="0.01" value="1" />
241 </label>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 242 <label title="Iterations of the implicit diffusion solve. Changing it recompiles.">solve iters
244 <option value="0">0</option>
f467ffaCompare several solver settings side by side, on one clockJeremy Magland 245 <option value="1">1</option>
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 246 <option value="2">2</option>
247 <option value="4">4</option>
f467ffaCompare several solver settings side by side, on one clockJeremy Magland 248 <option value="8" selected>8</option>
250 <option value="32">32</option>
251 <option value="64">64</option>
252 <option value="128">128</option>
254 </label>
255 <label>lmax
256 <select id="lmax">
257 <option value="31">31</option>
258 <option value="63" selected>63</option>
259 <option value="127">127</option>
260 <option value="255">255</option>
261 </select>
262 </label>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 263 <label title="Render on a finer grid. Display only.">display oversampling
265 <option value="auto" selected>auto</option>
266 <option value="1">off</option>
267 <option value="2">2×</option>
268 <option value="4">4×</option>
269 <option value="8">8×</option>
270 </select>
271 </label>
272 <label>colormap
273 <select id="colormap"></select>
274 </label>
275 <button id="runpause" class="primary">Run</button>
276 <button id="benchmark">Benchmark</button>
0ae15cfSeed runs from smooth random fields, and add the blob geometryDan Fortunato 277 <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
278 <input id="lam3" type="number" min="0" step="0.05" value="0.5">
279 </label>
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 280 <button id="reseed">Re-seed</button>
281 <button id="resetview">Reset view</button>
282 <button id="movietoggle" title="Export the run as an MP4 movie">Export movie</button>
f467ffaCompare several solver settings side by side, on one clockJeremy Magland 283 <button id="comparetoggle" title="Run several solver settings side by side on one clock">Compare</button>
285 title="Check this solver against a saved reference run (.h5, the layout in docs/ellipsoid-reference-spec.md): opens a comparison seeded from its exact initial state, with its own settings, that runs to its end time and is measured against its final state.">
286 Compare to reference…</button>
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290 <div class="cmp-axes">
291 <div class="cmp-axis">
292 <span title="Iterations of the implicit diffusion solve">solve iters</span>
293 <span id="cmp-niter" class="chips"></span>
294 </div>
295 <div class="cmp-axis">
296 <span>lmax</span>
297 <span id="cmp-lmax" class="chips"></span>
298 </div>
299 <div class="cmp-axis">
300 <span title="Timestep, as a divisor of the model's dt. Divisors keep every variant on the same clock exactly.">dt</span>
301 <span id="cmp-dt" class="chips"></span>
302 </div>
303 </div>
304 <label title="The run everything else is measured against">reference
305 <select id="cmp-ref"></select>
306 </label>
c90d0e2Check reference files in the browser's compare modeJeremy Magland 307 <span id="cmp-fileinfo" class="stats" hidden></span>
308 <button id="cmp-fileclear" hidden
309 title="Drop the reference file and compare the variants against each other again">×</button>
f467ffaCompare several solver settings side by side, on one clockJeremy Magland 310 <button id="cmp-start" class="primary">Compare</button>
311 <span id="cmp-count" class="stats"></span>
313 <div class="controls" id="moviebar" hidden>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 314 <label title="Simulation-time units per second of video">movie speed
316 <option value="0.1">0.1×</option>
317 <option value="0.5">0.5×</option>
318 <option value="1">1×</option>
319 <option value="3">3×</option>
320 <option value="5">5×</option>
321 <option value="10" selected>10×</option>
322 <option value="20">20×</option>
323 </select>
324 </label>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 325 <label title="Size of each sphere panel in the video, in pixels">resolution
327 <option value="480">480</option>
328 <option value="640">640</option>
329 <option value="768" selected>768</option>
330 <option value="1080">1080</option>
331 <option value="1440">1440</option>
332 </select>
333 </label>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 334 <label title="Slowly orbit the camera during the movie">
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 335 <input type="checkbox" id="movierotate" checked /> auto-rotate
336 </label>
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 337 <button id="movie" title="Replay the run from t = 0 and download an MP4">Export</button>
339 <div class="controls" id="params"></div>
340 <div class="controls" id="geomparams"></div>
341 <p id="geomnote" class="stats"></p>
342 <div id="panels"></div>
343 <p class="stats" id="stats"></p>
344 <p class="stats" id="benchresult"></p>
345 <div class="editor">
346 <div class="editor-head">
347 <span>
348 <select id="editor-file" aria-label="file to edit"></select>
349 <span id="editor-title"></span>
350 </span>
351 <span>
352 <button id="recompile" type="button">Recompile</button>
353 <button id="revert" type="button">Revert</button>
354 </span>
355 </div>
356 <div class="editor-body">
357 <div class="editor-code">
358 <pre id="highlight" aria-hidden="true"></pre>
359 <textarea
360 id="source"
361 spellcheck="false"
362 autocomplete="off"
363 autocapitalize="off"
364 aria-label="model source (MATLAB)"
365 ></textarea>
366 </div>
367 <pre id="compiled"></pre>
368 </div>
369 </div>
370 <div class="cli">
371 <div class="cli-head">
62e6cc4Simplify UI text and built-in .m script commentsJeremy Magland 372 <span>The same run on the desktop</span>
0af3386Reaction-diffusion on spherical-harmonic surfacesJeremy Magland 373 <button id="copycmd" type="button">Copy</button>
374 </div>
375 <code id="cmd"></code>
376 </div>
377 <p id="blurb"></p>
378 <p id="err"></p>
379 </main>
380 <script type="module" src="/src/main.ts"></script>
381 </body>
382</html>