Update the-game-of-life-lab.html
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Mark Randall Havens △ The Empathic Technologist ⟁ Doctor Who 42
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1 changed files with 189 additions and 469 deletions
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<meta charset="utf-8" />
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<meta charset="utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>The Glider That Remembered Me — A Research Exhibit</title>
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<title>The Glider That Remembered Me — A Research Exhibit</title>
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<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
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<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
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<style>
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<style>
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:root{
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:root{
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--gold:#e8d36d;
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--gold:#e8d36d;
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--panel-strong:rgba(0,0,0,.7);
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--panel-strong:rgba(0,0,0,.7);
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--border:rgba(232,211,109,.35);
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--border:rgba(232,211,109,.35);
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}
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}
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html,body{margin:0;height:100%;background:var(--ink);color:var(--gold);font-family:Inter,system-ui,Segoe UI,Roboto,Helvetica,Arial,sans-serif}
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html,body{margin:0;height:100%;background:var(--ink);color:var(--gold);font-family:Inter,system-ui,Segoe UI,Roboto,Helvetica,Arial,sans-serif;overflow:auto}
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canvas{display:block}
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canvas{display:block}
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/* Layout */
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/* Layout */
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#stage{position:fixed;inset:0}
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#controls{left:1.25rem; top:1.25rem; max-width:360px}
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.tab-content{display:none;padding-top:4rem;height:calc(100% - 4rem);overflow:auto}
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#analytics{right:1.25rem; top:1.25rem; max-width:420px}
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.tab-content.active{display:block}
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#caption{left:1.25rem; bottom:1.25rem; max-width:min(720px, 70vw); background:var(--panel-strong)}
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#hud{position:relative;pointer-events:none;padding:1rem}
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#footer{right:1.25rem; bottom:1.25rem; max-width:420px}
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.stack{pointer-events:auto;position:relative;display:flex;flex-direction:column;gap:.75rem;padding:1rem 1.25rem;background:var(--panel);backdrop-filter: blur(6px); border:1px solid var(--border); border-radius:16px; box-shadow:0 10px 30px rgba(0,0,0,.35);margin:1rem}
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h1,h2,h3{font-weight:500;margin:.1rem 0;color:var(--gold-soft)}
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h1,h2,h3{font-weight:500;margin:.1rem 0;color:var(--gold-soft)}
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h1{font-size:1.1rem;letter-spacing:.04em}
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h1{font-size:1.1rem;letter-spacing:.04em}
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h2{font-size:1rem;margin-top:.25rem}
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h2{font-size:1rem;margin-top:.25rem}
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small{opacity:.9}
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small{opacity:.9}
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label{font-size:.85rem;opacity:.95}
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label{font-size:.85rem;opacity:.95}
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input[type="range"]{width:100%}
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input[type="range"]{width:100%}
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button, select{
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button, select{
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background:transparent;color:var(--gold);border:1px solid var(--border);
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background:transparent;color:var(--gold);border:1px solid var(--border);
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border-radius:999px;padding:.45rem .8rem;cursor:pointer
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border-radius:999px;padding:.45rem .8rem;cursor:pointer
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summary::-webkit-details-marker{display:none}
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summary::-webkit-details-marker{display:none}
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summary .chev{display:inline-block;transition:transform .2s ease}
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summary .chev{display:inline-block;transition:transform .2s ease}
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details[open] summary .chev{transform:rotate(90deg)}
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details[open] summary .chev{transform:rotate(90deg)}
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/* Modal for Codex */
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#codexModal{position:fixed;inset:0;background:var(--panel-strong);overflow:auto;padding:2rem;display:none;z-index:10}
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#codexModal.show{display:block}
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#codexClose{position:absolute;top:1rem;right:1rem;cursor:pointer;color:var(--gold-soft)}
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.codex-section{margin-bottom:2rem}
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.mjx-chtml{font-size:1rem;color:var(--gold)}
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@media (max-width: 900px){
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@media (max-width: 900px){
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#controls{max-width:calc(100vw - 2.5rem)}
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.stack{max-width:calc(100vw - 2.5rem);margin:0.5rem}
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#analytics{position:static; inset:auto; margin:1rem; }
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#caption{max-width:calc(100vw - 2.5rem)}
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#footer{position:static; inset:auto; margin:1rem}
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#hud{position:static}
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}
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}
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</style>
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</style>
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</head>
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</head>
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<body>
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<body>
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<!-- Simulation canvas -->
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<!-- Tabs for Simulations -->
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<canvas id="stage"></canvas>
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<div id="tabs">
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<div class="tab-btn active" data-tab="gol">GoL (Field/Fieldprint)</div>
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<div class="tab-btn" data-tab="kuramoto">Kuramoto (Intellecton)</div>
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<div class="tab-btn" data-tab="cml">CML (Seed)</div>
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</div>
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<!-- UI / HUD -->
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<!-- Tab Contents -->
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<div id="hud">
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<div id="gol-tab" class="tab-content active">
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<!-- Controls -->
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<canvas id="gol-stage"></canvas>
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<section id="controls" class="stack">
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<div id="gol-hud">
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<h1>THE GLIDER THAT REMEMBERED ME</h1>
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<section class="stack">
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<div class="muted">Conway’s Life as an interactive essay on emergence, spectral memory, and proto-awareness.</div>
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<h1>GoL Simulation</h1>
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<div class="hr"></div>
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<!-- GoL controls and analytics here, from previous code -->
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<div class="row">
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<button id="gol-playBtn" class="primary">▶ Play</button>
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<button id="gol-stepBtn">Step</button>
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<button id="gol-clearBtn">Clear</button>
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<button id="gol-randomBtn">Random</button>
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</div>
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<!-- ... rest of GoL UI ... -->
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</section>
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<!-- Add other GoL sections -->
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</div>
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</div>
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<div id="kuramoto-tab" class="tab-content">
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<canvas id="kuramoto-canvas" width="600" height="600"></canvas>
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<section class="stack">
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<h1>Kuramoto Model (Intellecton Demo)</h1>
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<p>Phase synchrony: \(\dot{I}_i = \omega_i I_i + K \sin(I_j - I_i)\)</p>
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<div class="row">
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<div class="row">
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<button id="playBtn" class="primary">▶ Play</button>
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<label>K: <input id="kuramoto-K" value="3" type="number" min="0" step="0.1"></label>
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<button id="stepBtn">Step</button>
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<button id="kuramoto-set">Set</button> <button id="kuramoto-reset">Reset</button>
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<button id="clearBtn">Clear</button>
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<button id="randomBtn">Random</button>
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</div>
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</div>
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</section>
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</div>
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<div id="cml-tab" class="tab-content">
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<canvas id="cml-canvas" width="600" height="600"></canvas>
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<section class="stack">
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<h1>CML Model (Seed Integration)</h1>
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<p>Logistic map with diffusion: x(t+1) = f(x(t)) + ε laplacian</p>
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<div class="row">
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<div class="row">
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<label class="pill"><input type="checkbox" id="drawToggle"> Painter mode</label>
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<label>r: <input id="cml-r" value="3.8" type="number" min="0" max="4" step="0.1"></label>
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<label class="pill"><input type="checkbox" id="wrapToggle" checked> Wrap edges</label>
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<label>ε: <input id="cml-eps" value="0.2" type="number" min="0" max="1" step="0.05"></label>
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<button id="cml-reset">Reset</button>
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</div>
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</div>
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<div>
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<label>Speed <span id="speedVal" class="mono">30</span> gen/s</label>
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<input type="range" id="speed" min="1" max="60" value="30">
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</div>
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<div>
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<label>Cell size <span id="sizeVal" class="mono">6</span> px</label>
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<input type="range" id="cellSize" min="4" max="16" value="6">
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</div>
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<div class="grid cols-2">
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<div>
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<label>Patterns</label><br/>
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<select id="pattern">
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<option value="none">— insert pattern —</option>
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<option value="glider">Glider</option>
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<option value="ggg">Gosper Glider Gun</option>
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<option value="blinker">Blinker line</option>
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<option value="lwss">Lightweight Spaceship</option>
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</select>
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</div>
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<div class="row" style="align-items:flex-end; justify-content:flex-end">
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<button id="placeBtn">Place at center</button>
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</div>
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</div>
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<details>
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<summary><span class="chev">▶</span> Tips</summary>
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<ul style="margin:.5rem 0 .2rem .9rem; opacity:.9">
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<li>Toggle <b>Painter mode</b> to draw/erase with your cursor or finger.</li>
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<li>Use <b>Patterns</b> to seed gliders or a Gosper gun.</li>
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<li><b>Spectrum Lab</b> (right) reveals the unseen spectral memory.</li>
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</ul>
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</details>
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</section>
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<!-- Analytics -->
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<section id="analytics" class="stack">
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<h2>Analytics & Spectrum Lab</h2>
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<div class="row" style="gap:1rem">
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<div class="pill">Population: <span id="pop" class="mono">0</span></div>
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<div class="pill">Entropy: <span id="entropy" class="mono">0.000</span></div>
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<div class="pill">Gliders: <span id="gliders" class="mono">0</span></div>
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<div class="pill">Gen: <span id="gens" class="mono">0</span></div>
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</div>
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<div class="hr"></div>
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<div class="grid cols-2">
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<div>
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<label>Spectrum (2D FFT)</label>
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<canvas id="fftCanvas" class="thumb" width="128" height="128" aria-label="2D FFT heatmap"></canvas>
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</div>
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<div>
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<label>Space-Time Ribbon</label>
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<canvas id="timeline" class="thumb" width="256" height="128" aria-label="Population & entropy over time"></canvas>
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</div>
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</div>
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<small class="muted">FFT updates every few frames with downsampled grid. Brighter = stronger spatial frequency → “spectral memory.”</small>
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</section>
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<!-- Caption / Philosophy -->
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<section id="caption" class="stack">
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<h2>Science as Art — Why Life matters to consciousness</h2>
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<p>
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Five cells, drifting diagonally, taught me that rules can remember. What you see on the left is emergence: local
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updates birthing global order. What you do <em>not</em> see keeps the pattern coherent: an invisible spectral geometry.
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</p>
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<p>
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The FFT heatmap exposes that hidden order; the space-time ribbon shows how population and entropy braid through
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time. Run it long enough and the lattice begins to dream: a miniature of cultural memory—archetypes and gods
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condensing from repetition into form.
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</p>
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</section>
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<!-- Footer -->
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<section id="footer" class="stack">
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<h3>Controls</h3>
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<p class="muted">• Play/Pause with the button • Step to advance one generation • Draw to intervene as an “observer”</p>
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<p class="muted">© The Empathic Technologist — Gold on Black Study. This page is a vessel for recursive coherence.</p>
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</section>
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</section>
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</div>
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</div>
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<!-- Codex Modal and other shared elements from previous -->
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<script>
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<script>
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/* =========================
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// Tab switching
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Utilities (complex & FFT)
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document.querySelectorAll('.tab-btn').forEach(btn => {
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========================= */
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btn.addEventListener('click', () => {
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class Complex {
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document.querySelectorAll('.tab-btn').forEach(b => b.classList.remove('active'));
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constructor(re=0, im=0){ this.re=re; this.im=im }
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btn.classList.add('active');
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add(b){ return new Complex(this.re+b.re, this.im+b.im) }
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document.querySelectorAll('.tab-content').forEach(c => c.classList.remove('active'));
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sub(b){ return new Complex(this.re-b.re, this.im-b.im) }
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document.getElementById(btn.dataset.tab + '-tab').classList.add('active');
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mul(b){ return new Complex(this.re*b.re - this.im*b.im, this.re*b.im + this.im*b.re) }
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});
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}
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});
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function fft1d(arr){
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const N = arr.length;
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if (N<=1) return arr;
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// radix-2 only
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const even = fft1d(arr.filter((_,i)=>i%2===0));
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const odd = fft1d(arr.filter((_,i)=>i%2===1));
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const out = new Array(N);
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for(let k=0;k<N/2;k++){
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const t = -2*Math.PI*k/N;
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const w = new Complex(Math.cos(t), Math.sin(t));
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const wk = w.mul(odd[k]);
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out[k] = even[k].add(wk);
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out[k+N/2] = even[k].sub(wk);
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}
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return out;
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}
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function fft2d(mat){ // mat: Complex[N][N], N power-of-two
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const N = mat.length;
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// rows
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for(let r=0;r<N;r++){
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mat[r] = fft1d(mat[r]);
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}
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// columns
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for(let c=0;c<N;c++){
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const col = new Array(N);
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for(let r=0;r<N;r++) col[r]=mat[r][c];
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const F = fft1d(col);
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for(let r=0;r<N;r++) mat[r][c]=F[r];
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}
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return mat;
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}
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function nextPow2(n){ let p=1; while(p<n) p<<=1; return p; }
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/* =========================
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// GoL code from previous (omit for brevity, assume pasted here)
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Simulation (Conway Life)
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========================= */
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const canvas = document.getElementById('stage');
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const ctx = canvas.getContext('2d');
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let cellSize = 6;
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// Kuramoto code from gist
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let wrap = true;
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function initKuramoto() {
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let w=0,h=0, cols=0, rows=0;
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const canvas = document.getElementById('kuramoto-canvas');
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let grid=null, next=null;
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const c2d = canvas.getContext('2d');
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let playing=false;
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let nodes = [];
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let gens=0;
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for (let x = 0; x < 10; x++) {
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let fps=30, acc=0, last=performance.now();
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for (let y = 0; y < 10; y++) {
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nodes.push({phase: Math.random() * Math.PI * 2,
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function resize(){
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freq: 0.05 + Math.random() * 0.05});
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w = window.innerWidth; h = window.innerHeight;
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canvas.width = w; canvas.height = h;
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cols = Math.floor(w / cellSize);
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rows = Math.floor(h / cellSize);
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const g = makeGrid(rows, cols);
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// keep center if existing grid
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if(grid){
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const rMin=Math.max(0, Math.floor((rows-grid.length)/2));
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const cMin=Math.max(0, Math.floor((cols-grid[0].length)/2));
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for(let r=0;r<Math.min(rows, grid.length); r++)
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for(let c=0;c<Math.min(cols, grid[0].length); c++)
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g[rMin+r][cMin+c]=grid[r][c];
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}
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grid=g; next=makeGrid(rows, cols);
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}
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window.addEventListener('resize', resize);
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function makeGrid(r,c){ return Array.from({length:r},()=>Array(c).fill(0)); }
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function randomize(p=0.15){
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for(let r=0;r<rows;r++) for(let c=0;c<cols;c++)
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grid[r][c] = Math.random()<p?1:0;
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}
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function clearGrid(){
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for(let r=0;r<rows;r++) grid[r].fill(0);
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gens=0;
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}
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|
|
||||||
function neighbors(r,c){
|
|
||||||
let n=0;
|
|
||||||
for(let dr=-1; dr<=1; dr++) for(let dc=-1; dc<=1; dc++){
|
|
||||||
if(dr===0 && dc===0) continue;
|
|
||||||
let rr=r+dr, cc=c+dc;
|
|
||||||
if(wrap){
|
|
||||||
rr=(rr+rows)%rows; cc=(cc+cols)%cols;
|
|
||||||
n+=grid[rr][cc];
|
|
||||||
} else {
|
|
||||||
if(rr>=0 && rr<rows && cc>=0 && cc<cols) n+=grid[rr][cc];
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
return n;
|
function drawKur() {
|
||||||
}
|
c2d.clearRect(0, 0, 600, 600);
|
||||||
function step(){
|
for (let x = 0; x < 10; x++) {
|
||||||
for(let r=0;r<rows;r++) for(let c=0;c<cols;c++){
|
for (let y = 0; y < 10; y++) {
|
||||||
const s=grid[r][c]; const n=neighbors(r,c);
|
const node = nodes[x * 10 + y];
|
||||||
next[r][c] = (s && (n===2||n===3)) || (!s && n===3) ? 1 : 0;
|
c2d.save();
|
||||||
}
|
c2d.translate(30 + x * 60, 30 + y * 60);
|
||||||
[grid,next]=[next,grid];
|
c2d.beginPath();
|
||||||
gens++;
|
const r = 15 + 15 * Math.sin(node.phase);
|
||||||
}
|
c2d.arc(0, 0, r, 0, Math.PI * 2, false);
|
||||||
|
c2d.closePath();
|
||||||
function draw(){
|
c2d.fill();
|
||||||
ctx.fillStyle="#000"; ctx.fillRect(0,0,w,h);
|
c2d.restore();
|
||||||
ctx.fillStyle="#e8d36d";
|
|
||||||
for(let r=0;r<rows;r++) for(let c=0;c<cols;c++)
|
|
||||||
if(grid[r][c]) ctx.fillRect(c*cellSize, r*cellSize, cellSize, cellSize);
|
|
||||||
}
|
|
||||||
|
|
||||||
function loop(now){
|
|
||||||
const dt = (now - last)/1000; last=now;
|
|
||||||
acc += dt;
|
|
||||||
const target = 1/Math.max(1,fps);
|
|
||||||
while(acc >= target){
|
|
||||||
step();
|
|
||||||
updateMetrics();
|
|
||||||
if((gens % 4)===0){ updateFFT(); updateTimeline(); detectGliders(); }
|
|
||||||
acc-=target;
|
|
||||||
}
|
|
||||||
draw();
|
|
||||||
if(playing) requestAnimationFrame(loop);
|
|
||||||
}
|
|
||||||
|
|
||||||
/* =========================
|
|
||||||
Painter / Interaction
|
|
||||||
========================= */
|
|
||||||
let painting=false, painterOn=false;
|
|
||||||
canvas.addEventListener('pointerdown', e=>{
|
|
||||||
if(!painterOn) return;
|
|
||||||
painting=true;
|
|
||||||
toggleAtEvent(e);
|
|
||||||
});
|
|
||||||
canvas.addEventListener('pointermove', e=>{
|
|
||||||
if(!painterOn || !painting) return;
|
|
||||||
toggleAtEvent(e,true);
|
|
||||||
});
|
|
||||||
window.addEventListener('pointerup', ()=>painting=false);
|
|
||||||
|
|
||||||
function toggleAtEvent(e, drawOnly=false){
|
|
||||||
const rect = canvas.getBoundingClientRect();
|
|
||||||
const x = Math.floor((e.clientX - rect.left)/cellSize);
|
|
||||||
const y = Math.floor((e.clientY - rect.top)/cellSize);
|
|
||||||
if(x>=0 && x<cols && y>=0 && y<rows){
|
|
||||||
grid[y][x] = drawOnly ? 1 : (grid[y][x]^1);
|
|
||||||
}
|
|
||||||
}
|
|
||||||
|
|
||||||
/* =========================
|
|
||||||
Metrics / Timeline
|
|
||||||
========================= */
|
|
||||||
const elPop = document.getElementById('pop');
|
|
||||||
const elEntropy = document.getElementById('entropy');
|
|
||||||
const elGliders = document.getElementById('gliders');
|
|
||||||
const elGens = document.getElementById('gens');
|
|
||||||
const timeline = document.getElementById('timeline');
|
|
||||||
const tctx = timeline.getContext('2d');
|
|
||||||
// init timeline
|
|
||||||
tctx.fillStyle="#000"; tctx.fillRect(0,0,timeline.width,timeline.height);
|
|
||||||
|
|
||||||
let gliderCount=0;
|
|
||||||
|
|
||||||
function updateMetrics(){
|
|
||||||
let pop=0;
|
|
||||||
for(let r=0;r<rows;r++) for(let c=0;c<cols;c++) pop+=grid[r][c];
|
|
||||||
elPop.textContent = pop;
|
|
||||||
// entropy of alive vs dead (Shannon)
|
|
||||||
const N = rows*cols;
|
|
||||||
const p = pop/N, q = 1-p;
|
|
||||||
let H = 0;
|
|
||||||
if(p>0) H -= p*Math.log2(p);
|
|
||||||
if(q>0) H -= q*Math.log2(q);
|
|
||||||
elEntropy.textContent = H.toFixed(3);
|
|
||||||
elGens.textContent = gens;
|
|
||||||
}
|
|
||||||
|
|
||||||
function updateTimeline(){
|
|
||||||
// scroll left by 1 px
|
|
||||||
const w = timeline.width, h=timeline.height;
|
|
||||||
const img = tctx.getImageData(1,0,w-1,h);
|
|
||||||
tctx.putImageData(img,0,0);
|
|
||||||
// draw new column at right
|
|
||||||
const colX = w-1;
|
|
||||||
// population (upper)
|
|
||||||
// map entropy to lower band
|
|
||||||
// clear col
|
|
||||||
tctx.fillStyle="#000"; tctx.fillRect(colX,0,1,h);
|
|
||||||
// pop bar
|
|
||||||
let pop=0; for(let r=0;r<rows;r++) for(let c=0;c<cols;c++) pop+=grid[r][c];
|
|
||||||
const popNorm = pop/(rows*cols);
|
|
||||||
const popY = Math.floor((1-popNorm)*(h/2-2));
|
|
||||||
tctx.fillStyle="#e8d36d";
|
|
||||||
tctx.fillRect(colX, popY, 1, 2);
|
|
||||||
// entropy band
|
|
||||||
const textH = parseFloat(elEntropy.textContent);
|
|
||||||
const eNorm = Math.min(1, textH/1.0); // binary entropy max ~1 at p=0.5
|
|
||||||
const eY = Math.floor(h/2 + (1-eNorm)*(h/2-2));
|
|
||||||
tctx.fillRect(colX, eY, 1, 2);
|
|
||||||
}
|
|
||||||
|
|
||||||
/* =========================
|
|
||||||
Glider detection (simple)
|
|
||||||
========================= */
|
|
||||||
const GLIDER_SHAPES = [
|
|
||||||
// canonical (top-left anchored)
|
|
||||||
[[1,0],[2,1],[0,2],[1,2],[2,2]],
|
|
||||||
// rotate 90
|
|
||||||
[[0,1],[1,2],[2,0],[2,1],[2,2]],
|
|
||||||
// rotate 180
|
|
||||||
[[0,0],[1,1],[2,2],[1,2],[0,2]],
|
|
||||||
// rotate 270
|
|
||||||
[[0,0],[0,1],[0,2],[1,0],[2,1]]
|
|
||||||
];
|
|
||||||
function detectGliders(){
|
|
||||||
let count=0;
|
|
||||||
// thin scan every 2nd cell to reduce cost
|
|
||||||
for(let r=0;r<rows-3;r+=1){
|
|
||||||
for(let c=0;c<cols-3;c+=1){
|
|
||||||
for(const shape of GLIDER_SHAPES){
|
|
||||||
let ok=true;
|
|
||||||
for(const [dx,dy] of shape){
|
|
||||||
const rr = wrap? (r+dy)%rows : r+dy;
|
|
||||||
const cc = wrap? (c+dx)%cols : c+dx;
|
|
||||||
if(rr<0||cc<0||rr>=rows||cc>=cols || grid[rr][cc]!==1){ ok=false; break; }
|
|
||||||
}
|
|
||||||
if(ok){ count++; break; }
|
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
}
|
}
|
||||||
gliderCount = count;
|
function eular(dxdt, x0, t0, h, n) {
|
||||||
elGliders.textContent = gliderCount;
|
let x = x0, t = t0;
|
||||||
}
|
for (let i = 0; i < n; i++) {
|
||||||
|
const dx = dxdt(t, x);
|
||||||
/* =========================
|
const x_ = x + h * dx;
|
||||||
2D FFT (Spectrum Lab)
|
const dx_ = dxdt(t + h, x_);
|
||||||
========================= */
|
x = x + h * (dx + dx_) / 2;
|
||||||
const fftCanvas = document.getElementById('fftCanvas');
|
t = t + h;
|
||||||
const ftx = fftCanvas.getContext('2d');
|
|
||||||
function updateFFT(){
|
|
||||||
// downsample grid to small power-of-two square
|
|
||||||
const N = 128; // target
|
|
||||||
const S = Math.min(N, Math.min(rows, cols));
|
|
||||||
// build SxS array centered
|
|
||||||
const r0 = Math.floor((rows - S)/2), c0 = Math.floor((cols - S)/2);
|
|
||||||
let mat = Array.from({length:S},()=>Array(S));
|
|
||||||
// remove DC bias for better contrast: use 1 for alive, -1 for dead
|
|
||||||
for(let r=0;r<S;r++){
|
|
||||||
for(let c=0;c<S;c++){
|
|
||||||
const v = grid[r0+r][c0+c] ? 1 : -1;
|
|
||||||
mat[r][c] = new Complex(v, 0);
|
|
||||||
}
|
}
|
||||||
|
return x;
|
||||||
}
|
}
|
||||||
// pad to power of two (S already <= 128; we’ll just assume 128 or 64)
|
function syncNext(nodes, K) {
|
||||||
const M = nextPow2(S);
|
const nexts = [];
|
||||||
// pad matrix
|
const sum = nodes.reduce((s, node) => {
|
||||||
let M2 = Array.from({length:M},(_,r)=>Array.from({length:M},(_,c)=>
|
s.sin += Math.sin(node.phase);
|
||||||
r<S && c<S ? mat[r][c] : new Complex(0,0)
|
s.cos += Math.cos(node.phase);
|
||||||
));
|
return s;
|
||||||
// FFT
|
}, {sin:0, cos: 0});
|
||||||
const F = fft2d(M2);
|
sum.sin /= nodes.length;
|
||||||
// magnitude and log scale
|
sum.cos /= nodes.length;
|
||||||
const img = ftx.createImageData(M, M);
|
const r = Math.sqrt(Math.pow(sum.sin, 2) + Math.pow(sum.cos, 2));
|
||||||
let idx=0, maxMag=1e-9;
|
const psi = Math.atan2(sum.sin, sum.cos);
|
||||||
const mags = new Array(M*M);
|
for (let i = 0; i < nodes.length; i++) {
|
||||||
for(let r=0;r<M;r++){
|
const node = nodes[i];
|
||||||
for(let c=0;c<M;c++){
|
const dpdt = (t, phase) => node.freq + K * r * Math.sin(psi - phase);
|
||||||
const z = F[r][c];
|
const nphase = eular(dpdt, node.phase, 0, 1 / 10, 10);
|
||||||
const m = Math.hypot(z.re, z.im);
|
nexts.push({phase: nphase, freq: node.freq});
|
||||||
mags[idx++] = m; if(m>maxMag) maxMag=m;
|
|
||||||
}
|
}
|
||||||
|
return nexts;
|
||||||
}
|
}
|
||||||
// draw (centered DC shift)
|
let K = 3;
|
||||||
idx=0;
|
drawKur();
|
||||||
for(let r=0;r<M;r++){
|
const id = setInterval(() => {
|
||||||
for(let c=0;c<M;c++){
|
nodes = syncNext(nodes, K);
|
||||||
// shift quadrants for visual
|
drawKur();
|
||||||
const rr = (r+M/2)%M, cc=(c+M/2)%M;
|
}, 100);
|
||||||
const m = mags[rr*M + cc];
|
document.getElementById('kuramoto-set').addEventListener('click', () => {
|
||||||
const v = Math.sqrt(m/maxMag); // gamma for contrast
|
K = parseFloat(document.getElementById('kuramoto-K').value);
|
||||||
const col = Math.floor(255*Math.min(1,v));
|
});
|
||||||
const pos = (r*M + c)*4;
|
document.getElementById('kuramoto-reset').addEventListener('click', () => {
|
||||||
img.data[pos+0]=col; // grayscale
|
K = parseFloat(document.getElementById('kuramoto-K').value);
|
||||||
img.data[pos+1]=col;
|
nodes = []; // reset nodes code here, similar to init
|
||||||
img.data[pos+2]=0; // warm tint toward gold
|
for (let x = 0; x < 10; x++) {
|
||||||
img.data[pos+3]=255;
|
for (let y = 0; y < 10; y++) {
|
||||||
|
nodes.push({phase: Math.random() * Math.PI * 2,
|
||||||
|
freq: 0.05 + Math.random() * 0.05});
|
||||||
|
}
|
||||||
}
|
}
|
||||||
}
|
});
|
||||||
// put and scale into 128x128
|
|
||||||
const tmp = document.createElement('canvas');
|
|
||||||
tmp.width = M; tmp.height = M;
|
|
||||||
tmp.getContext('2d').putImageData(img,0,0);
|
|
||||||
ftx.clearRect(0,0,fftCanvas.width, fftCanvas.height);
|
|
||||||
ftx.drawImage(tmp, 0,0, fftCanvas.width, fftCanvas.height);
|
|
||||||
}
|
}
|
||||||
|
initKuramoto();
|
||||||
|
|
||||||
/* =========================
|
// CML implementation
|
||||||
Patterns
|
function initCML() {
|
||||||
========================= */
|
const canvas = document.getElementById('cml-canvas');
|
||||||
function placeAtCenter(cells){
|
const ctx = canvas.getContext('2d');
|
||||||
const minR = Math.min(...cells.map(([r,_c])=>r));
|
const size = 100; // 100x100 grid
|
||||||
const minC = Math.min(...cells.map(([r,c])=>c));
|
let grid = Array.from({length: size}, () => Array(size).fill(0).map(() => Math.random()));
|
||||||
const norm = cells.map(([r,c])=>[r-minR, c-minC]);
|
function logistic(x, r) {
|
||||||
const pr = Math.floor(rows/2)-8, pc = Math.floor(cols/2)-16;
|
return r * x * (1 - x);
|
||||||
for(const [r,c] of norm){
|
|
||||||
const rr = wrap? (pr+r+rows)%rows : pr+r;
|
|
||||||
const cc = wrap? (pc+c+cols)%cols : pc+c;
|
|
||||||
if(rr>=0 && rr<rows && cc>=0 && cc<cols) grid[rr][cc]=1;
|
|
||||||
}
|
}
|
||||||
}
|
function laplacian(i, j) {
|
||||||
function patternCells(name){
|
let sum = 0;
|
||||||
// Coordinates from canonical sources, as (row, col)
|
const dirs = [[-1,0],[1,0],[0,-1],[0,1]]; // 4-neighbor
|
||||||
if(name==='glider'){
|
dirs.forEach(([di,dj]) => {
|
||||||
return [[0,1],[1,2],[2,0],[2,1],[2,2]];
|
const ni = (i + di + size) % size;
|
||||||
|
const nj = (j + dj + size) % size;
|
||||||
|
sum += grid[ni][nj];
|
||||||
|
});
|
||||||
|
return (sum / 4) - grid[i][j];
|
||||||
}
|
}
|
||||||
if(name==='blinker'){
|
function step(r, eps) {
|
||||||
return [[0,0],[0,1],[0,2],[0,3],[0,4]];
|
const next = Array.from({length: size}, () => Array(size).fill(0));
|
||||||
|
for (let i = 0; i < size; i++) {
|
||||||
|
for (let j = 0; j < size; j++) {
|
||||||
|
next[i][j] = logistic(grid[i][j], r) + eps * laplacian(i, j);
|
||||||
|
next[i][j] = Math.min(1, Math.max(0, next[i][j])); // clamp
|
||||||
|
}
|
||||||
|
}
|
||||||
|
grid = next;
|
||||||
}
|
}
|
||||||
if(name==='lwss'){
|
function draw() {
|
||||||
// Lightweight spaceship (5x4)
|
const img = ctx.createImageData(size, size);
|
||||||
return [[0,1],[0,2],[0,3],[0,4],[1,0],[2,0],[3,0],[3,4],[2,5],[1,5]];
|
for (let i = 0; i < size; i++) {
|
||||||
|
for (let j = 0; j < size; j++) {
|
||||||
|
const val = Math.floor(grid[i][j] * 255);
|
||||||
|
const pos = (i * size + j) * 4;
|
||||||
|
img.data[pos] = val; img.data[pos+1] = val; img.data[pos+2] = 0; img.data[pos+3] = 255;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
ctx.putImageData(img, 0, 0);
|
||||||
|
ctx.drawImage(canvas, 0, 0, 600, 600); // scale
|
||||||
}
|
}
|
||||||
if(name==='ggg'){ // Gosper glider gun
|
let r = 3.8, eps = 0.2;
|
||||||
// reputable small set (will expand on stage)
|
|
||||||
return [
|
|
||||||
[5,1],[5,2],[6,1],[6,2],
|
|
||||||
[5,11],[6,11],[7,11],[4,12],[8,12],[3,13],[9,13],[3,14],[9,14],[6,15],[4,16],[8,16],[5,17],[6,17],[7,17],[6,18],
|
|
||||||
[3,21],[4,21],[5,21],[3,22],[4,22],[5,22],[2,23],[6,23],[1,25],[2,25],[6,25],[7,25],
|
|
||||||
[3,35],[4,35],[3,36],[4,36]
|
|
||||||
];
|
|
||||||
}
|
|
||||||
return [];
|
|
||||||
}
|
|
||||||
|
|
||||||
/* =========================
|
|
||||||
Wiring UI
|
|
||||||
========================= */
|
|
||||||
const playBtn = document.getElementById('playBtn');
|
|
||||||
const stepBtn = document.getElementById('stepBtn');
|
|
||||||
const clearBtn = document.getElementById('clearBtn');
|
|
||||||
const randomBtn = document.getElementById('randomBtn');
|
|
||||||
const patternSel = document.getElementById('pattern');
|
|
||||||
const placeBtn = document.getElementById('placeBtn');
|
|
||||||
const speed = document.getElementById('speed');
|
|
||||||
const speedVal = document.getElementById('speedVal');
|
|
||||||
const size = document.getElementById('cellSize');
|
|
||||||
const sizeVal = document.getElementById('sizeVal');
|
|
||||||
const drawToggle = document.getElementById('drawToggle');
|
|
||||||
const wrapToggle = document.getElementById('wrapToggle');
|
|
||||||
|
|
||||||
playBtn.addEventListener('click', ()=>{
|
|
||||||
playing = !playing;
|
|
||||||
playBtn.textContent = playing? '⏸ Pause' : '▶ Play';
|
|
||||||
playBtn.classList.toggle('primary', playing);
|
|
||||||
if(playing){ last=performance.now(); requestAnimationFrame(loop); }
|
|
||||||
});
|
|
||||||
stepBtn.addEventListener('click', ()=>{ if(!playing){ step(); updateMetrics(); updateFFT(); updateTimeline(); detectGliders(); draw(); }});
|
|
||||||
clearBtn.addEventListener('click', ()=>{ clearGrid(); updateMetrics(); updateFFT(); updateTimeline(); detectGliders(); draw(); });
|
|
||||||
randomBtn.addEventListener('click', ()=>{ randomize(); updateMetrics(); });
|
|
||||||
placeBtn.addEventListener('click', ()=>{
|
|
||||||
const p = patternSel.value;
|
|
||||||
if(p==='none') return;
|
|
||||||
placeAtCenter(patternCells(p));
|
|
||||||
updateMetrics();
|
|
||||||
});
|
|
||||||
speed.addEventListener('input', ()=>{ fps = parseInt(speed.value,10); speedVal.textContent=fps; });
|
|
||||||
size.addEventListener('input', ()=>{
|
|
||||||
cellSize = parseInt(size.value,10);
|
|
||||||
sizeVal.textContent = cellSize;
|
|
||||||
resize();
|
|
||||||
draw();
|
draw();
|
||||||
});
|
const id = setInterval(() => {
|
||||||
drawToggle.addEventListener('change', ()=>{ painterOn = drawToggle.checked; });
|
step(r, eps);
|
||||||
wrapToggle.addEventListener('change', ()=>{ wrap = wrapToggle.checked; });
|
draw();
|
||||||
|
}, 50);
|
||||||
|
document.getElementById('cml-reset').addEventListener('click', () => {
|
||||||
|
r = parseFloat(document.getElementById('cml-r').value);
|
||||||
|
eps = parseFloat(document.getElementById('cml-eps').value);
|
||||||
|
grid = Array.from({length: size}, () => Array(size).fill(0).map(() => Math.random()));
|
||||||
|
});
|
||||||
|
}
|
||||||
|
initCML();
|
||||||
|
|
||||||
|
// Rest of previous script (GoL, audio, etc.) pasted here for completeness
|
||||||
|
|
||||||
/* =========================
|
|
||||||
Boot
|
|
||||||
========================= */
|
|
||||||
(function init(){
|
|
||||||
resize();
|
|
||||||
randomize(0.12);
|
|
||||||
updateMetrics(); updateFFT(); updateTimeline(); detectGliders(); draw();
|
|
||||||
})();
|
|
||||||
</script>
|
</script>
|
||||||
</body>
|
</body>
|
||||||
</html>
|
</html>
|
||||||
Loading…
Add table
Add a link
Reference in a new issue