Reaction-diffusion · deepseek-v3.2
Run a Gray-Scott reaction-diffusion simulation on a canvas that grows organic Turing patterns in real time, with the mouse seeding new growth.
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transcript · 78 messages
Run a Gray-Scott reaction-diffusion simulation on a canvas that grows organic Turing patterns in real time, with the mouse seeding new growth.
thinking
I'll create a single-page web app with a Gray-Scott reaction-diffusion simulation that displays organic Turing patterns and allows mouse seeding. I'll write it all into index.html with inline CSS and JavaScript. First, let's check the current directory and see if there's already an index.html.
{"command":"ls -la"}total 4 drwxrwxrwx 2 node node 64 Jul 22 17:46 . drwxr-xr-x 1 root root 4096 Jul 22 17:46 ..
thinking
No index.html yet. I'll create it with the simulation.
Gray-Scott simulation parameters:
- u: concentration of chemical U (activator)
- v: concentration of chemical V (inhibitor)
- Equations: du/dt = Du * ∇²u - u*v² + f*(1-u)
dv/dt = Dv * ∇²v + u*v² - (k+f)*v
where f (feed rate) and k (kill rate) control pattern formation.
We'll implement on a canvas with WebGL (shader) for performance, but could also use CPU. Let's use WebGL fragment shader for real-time performance.
We'll need:
- Canvas element
- WebGL context
- Two textures for u and v (ping-pong)
- Shaders for computation and rendering
- Mouse interaction to add chemicals
Let's create the HTML file. I'll write it step by step, but need to ensure it's self-contained.
Let's write the entire file.index.html (262 bytes)Successfully wrote 262 bytes to index.html
thinking
Let me write the full file. I'll do it in one go.
index.html (260 bytes)Successfully wrote 260 bytes to index.html
thinking
I need to properly write the file. Let me create the entire content in a single write. I'll write a complete index.html now.
thinking
I need to write a complete file. Let's start fresh with a proper structure. I'll create the full file.
index.html (1879 bytes)Successfully wrote 1879 bytes to index.html
thinking
Let me rewrite with the full content. I'll create the entire file in one go using a more straightforward approach. Let me clear and start again.
{"command":"rm index.html"}(no output)
thinking
Now write the complete file with all CSS, JS, and HTML. I'll create a WebGL simulation with fragment shader for Gray-Scott. Let's write:
index.html (2183 bytes)Successfully wrote 2183 bytes to index.html
thinking
Let me read what's there and finish writing.
{"path":"index.html"}<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Gray-Scott Reaction-Diffusion</title> <style> html, body { margin: 0; padding: 0; width: 100%; height: 100%; overflow: hidden; background: #000; font-family: sans-serif; } #wrapper { display: flex; flex-direction: column; height: 100vh; } header { padding: 10px 20px; background: rgba(0, 20, 30, 0.9); color: #8ff; text-align: center; border-bottom: 1px solid #044; } h1 { margin: 0; font-size: 2.2em; font-weight: 300; } .subtitle { font-size: 0.9em; opacity: 0.8; margin-top: 5px; } .container { display: flex; flex: 1; min-height: 0; } #canvasContainer { flex: 1; position: relative; overflow: hidden; } canvas { display: block; width: 100%; height: 100%; cursor: crosshair; } #controls { width: ("400px"); background: rgba(10, 20, 30, 0.9); color: #ccc; padding: 15px; overflow-y: auto; border-left: 1px solid #044; } .panel { margin-bottom: 20px; } h2 { color: #8ff; font-size: 1.2em; margin-top: 0; margin-bottom: 10px; border-bottom: 1px solid #044; padding-bottom: 5px; } .param { display: flex; justify-content: space-between; margin-bottom: 8px; align-items: center; } label { flex: 1; } input[type="range"] { width: 150px; } input[type="number"] { width:.PrintStackTrace;
thinking
The CSS is cut off. Let's rewrite the entire file properly. I'll create a complete, self-contained Gray-Scott simulation using WebGL. I'll design: - A canvas with WebGL context. - Ping-pong rendering between two textures for U and V. - Fragment shader that implements Gray-Scott equations. - Mouse interaction to add U and V chemicals. - UI controls for parameters (feed, kill, diffusion rates). - Real-time visualization with color mapping. Let's write the whole file with proper CSS and JS. I'll do it in one write.
thinking
The file is incomplete and malformed. Let me write the entire page correctly, including JavaScript. I'll create a complete, self-contained simulation. I'll use a simpler approach: CPU simulation using Web Workers? But for simplicity, I'll do WebGL fragment shader for performance. However, writing a complex WebGL shader within an HTML file is fine. Let me rewrite the entire file with proper structure. I'll create a single HTML file with CSS, JS, and vertex/fragment shaders embedded. I'll create a 2D canvas and use WebGL to run the simulation via fragment shader that computes Gray-Scott on each frame. Use ping-pong textures. Provide mouse interaction to add chemicals. Let's do it stepwise but final output as one file. I'll start with a fresh write.
index.html (12835 bytes)Successfully wrote 12835 bytes to index.html
thinking
The file is incomplete and contains errors. Let me create a simpler but complete simulation using CPU on a 2D canvas (using ImageData) for ease. Use a smaller grid (maybe 300x300) and run in requestAnimationFrame. Performance may be okay for real-time if we optimize. Let's write a clean, working simulation with mouse interaction. I'll rewrite the entire HTML file with CSS and JS. I'll create a canvas with 2D context, maintain two Float32Arrays for U and V, compute Gray-Scott with discrete Laplace, and draw using ImageData. Use mouse to add chemicals. Let's do that now.
index.html (855 bytes)Successfully wrote 855 bytes to index.html
thinking
I'm struggling with writing large files piecemeal. Let me write the entire file in one go using a more careful approach. I'll create a simple but complete simulation with CPU. Let's create a fresh file using a bash command to write the whole content. I'll use cat with a heredoc. Let's first remove the existing file.
{"command":"rm -f index.html"}(no output)
thinking
Now I'll write the whole file using a bash heredoc. I'll do it stepwise with a Python script to generate the content, but easier: use write tool with the full content. Let me construct the content in my mind. I'll create a 2D canvas of maybe 400x400 pixels, with a simulation grid of maybe 200x200 for performance. Use Float64 arrays for U and V. Compute Laplace with 5-point stencil. Use requestAnimationFrame. I'll write the entire file now. It will be long but self-contained. Let's go:
index.html (18623 bytes)Successfully wrote 18623 bytes to index.html
thinking
Great! The file is written. Now let's test it by opening in a browser? We can't, but we can at least verify it loads without errors by reading a portion and checking for syntax. Let's also check that the canvas is present. I'll read a snippet to confirm
{"path":"index.html"}<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Gray‑Scott Reaction‑Diffusion</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background: #111; color: #eee; display: flex; flex-direction: column; align-items: center; min-height: 100vh; overflow: hidden; } header { text-align: center; padding: 20px; width: 100%; background: rgba(0, 0, 0, 0.8); border-bottom: 1px solid #333; } h1 { font-size: 2.5rem; margin-bottom: 8px; background: linear-gradient(90deg, #ff6b6b, #4ecdc4); -webkit-background-clip: text; -webkit-text-fill-color: transparent; } .subtitle { font-size: 1.1rem; opacity: 0.8; margin-bottom: 12px; } .container { display: flex; flex-wrap: wrap; justify-content: center; gap: 20px; padding: 20px; max-width: 1400px; width: 100%; } .canvas-container { flex: 1; min-width: 300px; max-width: 800px; position: relative; border-radius: 8px; overflow: hidden; box-shadow: 0 0 30px rgba(0, 100, 100, 0.5); } canvas { display: block; width: 100%; height: auto; background: #000; cursor: crosshair; } .controls { flex: 0 0 300px; background: rgba(30, 30, 40, 0.9); border-radius: 8px; padding: 20px; border: 1px solid #444; max-height: 80vh; overflow-y: auto; } .panel { margin-bottom: 20px; } h2 { color: #4ecdc4; margin-bottom: 15px; font-size: 1.4rem; border-bottom: 1px solid #444; padding-bottom: 5px; } .param { display: flex; justify-content: space-between; align-items: center; margin-bottom: 12px; } label { flex: 1; font-size: 0.95rem; } input[type="range"] { width: 150px; margin-right: 10px; } input[type="number"] { width: 70px; background: #222; border: 1px solid #444; color: #eee; padding: 5px; border-radius: 4px; text-align: center; } button { background: #333; color: #eee; border: 1px solid #555; padding: 8px 15px; margin: 5px; border-radius: 4px; cursor: pointer; transition: background 0.2s; } button:hover { background: #444; } button:active { background: #555; } .presets { display: flex; flex-wrap: wrap; gap: 8px; margin-top: 10px; } .presets button { flex: 1; min-width: 80px; background: #2a2a3a; } footer { margin-top: auto; padding: 15px; font-size: 0.9rem; opacity: 0.7; text-align: center; width: 100%; background: rgba(0, 0, 0, 0.8); border-top: 1px solid #333; } .info { font-size: 0.9rem; line-height: 1.4; color: #aaa; } .info p { margin-bottom: 10px; } #status { font-size: 0.85rem; color: #4ecdc4; margin-top: 10px; text-align: center; } @media (max-width: 768px) { .container { flex-direction: column; align-items: center; } .controls { width: 100%; max-width: 800px; } } </style> </head> <body> <header> <h1>Gray‑Scott Reaction‑Diffusion</h1> <div class="subtitle">Organic Turing Patterns • Click/Drag to Seed New Growth</div> </header> <div class="container"> <div class="canvas-container"> <canvas id="canvas" width="800" height="800"></canvas> </div> <div class="controls"> <div class="panel"> <h2>Simulation Parameters</h2> <div class="param"> <label for="f">Feed rate (f)</label> <input type="range" id="f" min="0.01" max="0.1" step="0.001" value="0.055"> <input type="number" id="fVal" step="0.001" value="0.055"> </div> <div class="param"> <label for="k">Kill rate (k)</label> <input type="range" id="k" min="0.04" max="0.07" step="0.001" value="0.062"> <input type="number" id="kVal" step="0.001" value="0.062"> </div> <div class="param"> <label for="dU">Diffusion U (Du)</label> <input type="range" id="dU" min="0.1" max="2.0" step="0.01" value="1.0"> <input type="number" id="dUVal" step="0.01" value="1.0"> </div> <div class="param"> <label for="dV">Diffusion V (Dv)</label> <input type="range" id="dV" min="0.1" max="2.0" step="0.01" value="0.5"> <input type="number" id="dVVal" step="0.01" value="0.5"> </div> <div class="param"> <label for="dt">Time step (dt)</label> <input type="range" id="dt" min="0.1" max="2.0" step="0.1" value="1.0"> <input type="number" id="dtVal" step="0.1" value="1.0"> </div> <div class="param"> <label for="brushSize">Brush size</label> <input type="range" id="brushSize" min="5" max="50" step="1" value="15"> <input type="number" id="brushSizeVal" step="1" value="15"> </div> <div class="param"> <label for="brushStrength">Brush strength</label> <input type="range" id="brushStrength" min="0.1" max="2.0" step="0.1" value="1.0"> <input type="number" id="brushStrengthVal" step="0.1" value="1.0"> </div> </div> <div class="panel"> <h2>Actions</h2> <button id="reset">Reset Simulation</button> <button id="randomSeed">Random Seed</button> <button id="clearMouse">Clear Brush Effects</button> <button id="pause">Pause Simulation</button> <div id="status">Running</div> </div> <div class="panel"> <h2>Pattern Presets</h2> <div class="presets"> <button data-f="0.055" data-k="0.062">Spots</button> <button data-f="0.03" data-k="0.062">Worms</button> <button data-f="0.026" data-k="0.061">Mazes</button> <button data-f="0.012" data-k="0.05">Holes</button> <button data-f="0.035" data-k="0.065">Moving</button> </div> </div> <div class="panel"> <h2>Information</h2> <div class="info"> <p>The Gray‑Scott model simulates an autocatalytic reaction‑diffusion system that generates organic Turing patterns.</p> <p>Click or drag on the canvas to add chemicals and seed new growth.</p> <p>Adjust feed (f) and kill (k) rates to change pattern morphology.</p> <p>Patterns emerge from random noise through local activation and long‑range inhibition.</p> </div> </div> </div> </div> <footer> Gray‑Scott Reaction‑Diffusion Simulation • Real‑time JavaScript • No external dependencies </footer> <script> // ----- Canvas and context ----- const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); const width = canvas.width; const height = canvas.height; // ----- Simulation grid ----- const gridSize = 200; // internal resolution let u = new Float64Array(gridSize * gridSize); let v = new Float64Array(gridSize * gridSize); let uNext = new Float64Array(gridSize * gridSize); let vNext = new Float64Array(gridSize * gridSize); // ----- Parameters ----- let params = { f: 0.055, k: 0.062, dU: 1.0, dV: 0.5, dt: 1.0, brushSize: 15, brushStrength: 1.0, paused: false }; // ----- Mouse state ----- let mouse = { x: 0, y: 0, down: false, radius: 0 }; // ----- Initialize with random noise ----- function reset() { for (let i = 0; i < u.length; i++) { u[i] = 1.0; v[i] = 0.0; // add small random perturbations let rx = Math.random() * 0.2 - 0.1; u[i] += rx; v[i] -= rx; } // add a few spots of V for (let n = 0; n < 10; n++) { let cx = Math.floor(Math.random() * gridSize); let cy = Math.floor(Math.random() * gridSize); for (let dy = -2; dy <= 2; dy++) { for (let dx = -2; dx <= 2; dx++) { let x = cx + dx; let y = cy + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { let idx = y * gridSize + x; v[idx] = 0.5 + Math.random() * 0.5; } } } } updateDisplay(); } // ----- Random seed (more noise) ----- function randomSeed() { for (let i = 0; i < u.length; i++) { u[i] = 0.5 + Math.random() * 0.5; v[i] = Math.random() * 0.5; } updateDisplay(); } // ----- Clear mouse additions (restore uniform) ----- function clearMouse() { for (let i = 0; i < u.length; i++) { u[i] = 1.0; v[i] = 0.0; } updateDisplay(); } // ----- Laplace kernel (5‑point stencil) ----- function laplace(arr, idx, stride) { const val = arr[idx]; const left = arr[idx - 1] || val; const right = arr[idx + 1] || val; const up = arr[idx - stride] || val; const down = arr[idx + stride] || val; return (left + right + up + down - 4 * val); } // ----- Simulation step ----- function simulate() { if (params.paused) return; const stride = gridSize; const dU = params.dU; const dV = params.dV; const f = params.f; const k = params.k; const dt = params.dt; // compute next state for (let y = 1; y < gridSize - 1; y++) { for (let x = 1; x < gridSize - 1; x++) { const idx = y * stride + x; const uVal = u[idx]; const vVal = v[idx]; const lapU = laplace(u, idx, stride); const lapV = laplace(v, idx, stride); const reaction = uVal * vVal * vVal; const du = dU * lapU - reaction + f * (1 - uVal); const dv = dV * lapV + reaction - (k + f) * vVal; uNext[idx] = uVal + du * dt; vNext[idx] = vVal + dv * dt; // clamp to reasonable range if (uNext[idx] < 0) uNext[idx] = 0; if (uNext[idx] > 1) uNext[idx] = 1; if (vNext[idx] < 0) vNext[idx] = 0; if (vNext[idx] > 1) vNext[idx] = 1; } } // swap buffers let tmp = u; u = uNext; uNext = tmp; tmp = v; v = vNext; vNext = tmp; // apply mouse influence if (mouse.down) { const brushSize = params.brushSize; const strength = params.brushStrength; const mx = Math.floor(mouse.x * gridSize); const my = Math.floor(mouse.y * gridSize); const radius = Math.floor(brushSize / 2); for (let dy = -radius; dy <= radius; dy++) { for (let dx = -radius; dx <= radius; dx++) { const x = mx + dx; const y = my + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { const idx = y * stride + x; // add some V and reduce U u[idx] = Math.max(0, u[idx] - strength * 0.05); v[idx] = Math.min(1, v[idx] + strength * 0.1); } } } } updateDisplay(); } // ----- Render to canvas ----- function updateDisplay() { const imageData = ctx.createImageData(width, height); const data = imageData.data; const scale = gridSize / width; for (let py = 0; py < height; py++) { for (let px = 0; px < width; px++) { const gx = Math.floor(px * scale); const gy = Math.floor(py * scale); const idx = gy * gridSize + gx; const uVal = u[idx]; const vVal = v[idx]; // color mapping: U -> cyan, V -> magenta, difference -> gray const r = Math.floor(vVal * 255); const g = Math.floor((uVal - vVal) * 255); const b = Math.floor(uVal * 255); const p = (py * width + px) * 4; data[p] = r; data[p + 1] = g; data[p + 2] = b; data[p + 3] = 255; } } ctx.putImageData(imageData, 0, 0); } // ----- Mouse events ----- function getMousePos(e) { const rect = canvas.getBoundingClientRect(); return { x: (e.clientX - rect.left) / rect.width, y: (e.clientY - rect.top) / rect.height }; } canvas.addEventListener('mousemove', (e) => { const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; if (mouse.down) { // immediate effect while dragging simulate(); } }); canvas.addEventListener('mousedown', (e) => { mouse.down = true; const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; simulate(); // apply once on click }); canvas.addEventListener('mouseup', () => { mouse.down = false; }); canvas.addEventListener('mouseleave', () => { mouse.down = false; }); // ----- Parameter UI synchronization ----- function syncParam(id, val) { const slider = document.getElementById(id); const number = document.getElementById(id + 'Val'); slider.value = val; number.value = val; params[id] = parseFloat(val); } // set up sliders and number inputs const paramIds = ['f', 'k', 'dU', 'dV', 'dt', 'brushSize', 'brushStrength']; paramIds.forEach(id => { const slider = document.getElementById(id); const number = document.getElementById(id + 'Val'); function update() { const val = parseFloat(slider.value); params[id] = val; number.value = val.toFixed(id === 'f' || id === 'k' ? 3 : 2); } slider.addEventListener('input', update); number.addEventListener('input', () => { const val = parseFloat(number.value); if (!isNaN(val)) { slider.value = val; params[id] = val; } }); // initial sync update(); }); // ----- Button actions ----- document.getElementById('reset').addEventListener('click', reset); document.getElementById('randomSeed').addEventListener('click', randomSeed); document.getElementById('clearMouse').addEventListener('click', clearMouse); document.getElementById('pause').addEventListener('click', function() { params.paused = !params.paused; this.textContent = params.paused ? 'Resume' : 'Pause'; document.getElementById('status').textContent = params.paused ? 'Paused' : 'Running'; }); // ----- Preset buttons ----- document.querySelectorAll('.presets button').forEach(btn => { btn.addEventListener('click', () => { const f = parseFloat(btn.dataset.f); const k = parseFloat(btn.dataset.k); syncParam('f', f); syncParam('k', k); }); }); // ----- Animation loop ----- function animate() { simulate(); requestAnimationFrame(animate); } // ----- Start ----- reset(); animate(); </script> </body> </html>
thinking
The file looks complete. However, there are a couple of issues: 1. The Laplace kernel uses `|| val` as fallback for edges, but that's fine. 2. The color mapping: `r = v*255, g = (u-v)*255, b = u*255`. That may produce negative g values (if v > u). We should clamp `g` to 0-255. Also we should clamp r,g,b to 0-255. 3. The mouse influence updates `u` and `v` directly after swapping buffers, which could cause inconsistencies (since we modify `u` and `v` after they've been swapped into current buffers). That's fine; we modify the current state. 4. The simulation runs `simulate()` on each animation frame, plus extra calls on mouse move. That's fine, although mouse moves may cause extra updates, but that's okay. But we should ensure the simulation is efficient enough for real-time. Grid size 200x200 is 40,000 cells, with nested loops O(n) per frame. That's fine for 60fps? Might be borderline. We'll keep it. We could also add a throttle for mouse move. Let's fix the color clamping and maybe improve the color scheme. Also we need to ensure the canvas dimensions match container; currently width/height are fixed at 800. Let's make canvas responsive to container size. We'll adjust width/height based on container's clientWidth/clientHeight. Better to set canvas dimensions to match container and scale grid accordingly. Let's adjust the code. I'll edit the file to make canvas resize to container, adjust grid size proportionally maybe keep gridSize fixed but map via scaling. We'll keep gridSize 200 but canvas size dynamic. Let's edit the file. I'll make several changes: 1. Replace width/height with computed values. 2. Update resize on window resize. 3. Fix color clamping. 4. Improve Laplace stencil to use proper Neumann boundary conditions (zero flux). Actually our fallback with `|| val` implements Neumann zero flux? Because using same value for out-of-bounds neighbors yields zero derivative? Let's keep simple. Let's do edits. First, backup the file, then modify. I'll use the edit tool with multiple edits. Let's first read a bit to find exact strings. Let me find the canvas width/height line.
{"path":"index.html","offset":400,"limit":50}u[idx] = Math.max(0, u[idx] - strength * 0.05); v[idx] = Math.min(1, v[idx] + strength * 0.1); } } } } updateDisplay(); } // ----- Render to canvas ----- function updateDisplay() { const imageData = ctx.createImageData(width, height); const data = imageData.data; const scale = gridSize / width; for (let py = 0; py < height; py++) { for (let px = 0; px < width; px++) { const gx = Math.floor(px * scale); const gy = Math.floor(py * scale); const idx = gy * gridSize + gx; const uVal = u[idx]; const vVal = v[idx]; // color mapping: U -> cyan, V -> magenta, difference -> gray const r = Math.floor(vVal * 255); const g = Math.floor((uVal - vVal) * 255); const b = Math.floor(uVal * 255); const p = (py * width + px) * 4; data[p] = r; data[p + 1] = g; data[p + 2] = b; data[p + 3] = 255; } } ctx.putImageData(imageData, 0, 0); } // ----- Mouse events ----- function getMousePos(e) { const rect = canvas.getBoundingClientRect(); return { x: (e.clientX - rect.left) / rect.width, y: (e.clientY - rect.top) / rect.height }; } canvas.addEventListener('mousemove', (e) => { const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; [85 more lines in file. Use offset=450 to continue.]
thinking
Let's find the line where canvas width/height are defined. Look near the start of script. Let's search from offset 300.
{"path":"index.html","offset":290,"limit":30}u[i] = 1.0; v[i] = 0.0; // add small random perturbations let rx = Math.random() * 0.2 - 0.1; u[i] += rx; v[i] -= rx; } // add a few spots of V for (let n = 0; n < 10; n++) { let cx = Math.floor(Math.random() * gridSize); let cy = Math.floor(Math.random() * gridSize); for (let dy = -2; dy <= 2; dy++) { for (let dx = -2; dx <= 2; dx++) { let x = cx + dx; let y = cy + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { let idx = y * gridSize + x; v[idx] = 0.5 + Math.random() * 0.5; } } } } updateDisplay(); } // ----- Random seed (more noise) ----- function randomSeed() { for (let i = 0; i < u.length; i++) { u[i] = 0.5 + Math.random() * 0.5; v[i] = Math.random() * 0.5; [215 more lines in file. Use offset=320 to continue.]
thinking
Let's find the very start of script. Look for "const canvas". Let's search from offset 250. Let's read a chunk.
{"path":"index.html","offset":250,"limit":40}Gray‑Scott Reaction‑Diffusion Simulation • Real‑time JavaScript • No external dependencies </footer> <script> // ----- Canvas and context ----- const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); const width = canvas.width; const height = canvas.height; // ----- Simulation grid ----- const gridSize = 200; // internal resolution let u = new Float64Array(gridSize * gridSize); let v = new Float64Array(gridSize * gridSize); let uNext = new Float64Array(gridSize * gridSize); let vNext = new Float64Array(gridSize * gridSize); // ----- Parameters ----- let params = { f: 0.055, k: 0.062, dU: 1.0, dV: 0.5, dt: 1.0, brushSize: 15, brushStrength: 1.0, paused: false }; // ----- Mouse state ----- let mouse = { x: 0, y: 0, down: false, radius: 0 }; // ----- Initialize with random noise ----- function reset() { for (let i = 0; i < u.length; i++) { [245 more lines in file. Use offset=290 to continue.]
thinking
Great. Now I'll edit the file to make canvas dimensions dynamic, fix color clamping, and improve Laplace stencil.
I'll create multiple edits:
1. Replace width/height definitions with computed values and add resize function.
2. Update the color mapping to clamp.
3. Improve Laplace to use proper Neumann boundary (zero flux) by using same value for out-of-bounds neighbors (already using `|| val`). That's fine.
Let's do edit. First, replace the width/height lines and add resize logic.
Find the exact oldText: " const canvas = document.getElementById('canvas');\n const ctx = canvas.getContext('2d');\n const width = canvas.width;\n const height = canvas.height;"
Replace with dynamic sizing and a resize function.
Let's write the new script section. I'll also need to adjust the updateDisplay function to use dynamic width/height (they become variables). Let's change accordingly.
Let's perform multiple edits in one go. Let's plan:
Edit 1: Replace canvas width/height lines and add variables and resize function.
Edit 2: Adjust updateDisplay to use width/height variables (already using width, height). But we need to ensure width/height are not const; they will be let variables.
Edit 3: Fix color clamping.
Edit 4: Maybe add throttling for mouse move simulation calls (optional). We'll add a flag to prevent extra simulate calls within the same frame.
Let's start with edit 1. Let's find exact oldText lines. I'll capture a larger chunk to ensure uniqueness. Let's get from "// ----- Canvas and context -----" up to "// ----- Parameters -----". Let's read that section.{"path":"index.html","offset":250,"limit":30}Gray‑Scott Reaction‑Diffusion Simulation • Real‑time JavaScript • No external dependencies </footer> <script> // ----- Canvas and context ----- const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); const width = canvas.width; const height = canvas.height; // ----- Simulation grid ----- const gridSize = 200; // internal resolution let u = new Float64Array(gridSize * gridSize); let v = new Float64Array(gridSize * gridSize); let uNext = new Float64Array(gridSize * gridSize); let vNext = new Float64Array(gridSize * gridSize); // ----- Parameters ----- let params = { f: 0.055, k: 0.062, dU: 1.0, dV: 0.5, dt: 1.0, brushSize: 15, brushStrength: 1.0, paused: false }; // ----- Mouse state ----- [255 more lines in file. Use offset=280 to continue.]
thinking
Now I'll replace from "// ----- Canvas and context -----" up to "// ----- Parameters -----" (but keep the gridSize and arrays). Let's be precise: I'll replace lines from "// ----- Canvas and context -----" to just before "// ----- Parameters -----". Let's capture the exact oldText:
```
// ----- Canvas and context -----
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
const width = canvas.width;
const height = canvas.height;
// ----- Simulation grid -----
const gridSize = 200; // internal resolution
let u = new Float64Array(gridSize * gridSize);
let v = new Float64Array(gridSize * gridSize);
let uNext = new Float64Array(gridSize * gridSize);
let vNext = new Float64Array(gridSize * gridSize);
// ----- Parameters -----
```
But we need to keep the gridSize line etc. Actually we want to keep those lines unchanged, just change width/height to let variables and add resize function after them. Let's modify only the width/height lines and add a resize function after the arrays. Let's do a more targeted edit.
I'll replace:
```
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
const width = canvas.width;
const height = canvas.height;
// ----- Simulation grid -----
```
with:
```
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
let width, height;
function resizeCanvas() {
const container = canvas.parentElement;
width = canvas.width = container.clientWidth * window.devicePixelRatio;
height = canvas.height = container.clientHeight * window.devicePixelRatio;
}
resizeCanvas();
window.addEventListener('resize', resizeCanvas);
// ----- Simulation grid -----
```
But we also need to call reset() after resize because grid mapping changes? Actually gridSize is fixed, we scale via `scale = gridSize / width`. That's fine.
Now edit 2: In updateDisplay we need to replace `const imageData = ctx.createImageData(width, height);` but width/height are now variables, fine. However, we need to ensure that when width/height change, we also need to re-create the imageData each frame (already). That's fine.
But we also need to adjust the mouse position mapping: mouse.x and mouse.y are normalized (0-1) relative to canvas dimensions. That's fine.
Now edit 3: color clamping. Find the color mapping lines:
```
// color mapping: U -> cyan, V -> magenta, difference -> gray
const r = Math.floor(vVal * 255);
const g = Math.floor((uVal - vVal) * 255);
const b = Math.floor(uVal * 255);
```
Replace with clamped version:
```
// color mapping: U -> cyan, V -> magenta, difference -> gray
let r = Math.floor(vVal * 255);
let g = Math.floor((uVal - vVal) * 255);
let b = Math.floor(uVal * 255);
r = Math.max(0, Math.min(255, r));
g = Math.max(0, Math.min(255, g));
b = Math.max(0, Math.min(255, b));
```
Now edit 4: Add throttling for mouse move simulation. We'll add a flag `simulateScheduled` and requestAnimationFrame for simulate.
But maybe keep as is for simplicity.
Let's also improve Laplace stencil to use a proper 5-point stencil with zero flux at boundaries. The current fallback `|| val` mimics zero flux? Actually if neighbor is out of bounds, we use same value `val`, which means the Laplacian for edge cells will be zero? Let's compute: left = val, right = val, up = val, down = val, then lap = left+right+up+down -4*val = 0. That's zero flux (no change). That's fine.
Now implement edits. Let's start with edit 1. Let's ensure we match exact whitespace (indentation of 8 spaces?). In the file, indentation appears as 8 spaces (two tabs?) Actually the script block is indented with 8 spaces. Let's copy exactly.
I'll use edit tool with multiple edits. Let's first get the exact oldText for edit1. Let's extract using bash to be sure. Let's run a quick grep with context. But I'll just manually copy from the read above.
Exact oldText lines:
```
// ----- Canvas and context -----
const canvas = document.getElementById('canvas');
const ctx = canvas.getContext('2d');
const width = canvas.width;
const height = canvas.height;
// ----- Simulation grid -----
```
We'll replace with new lines.
Now edit2: color mapping lines. Let's find exact oldText lines for that block. Let's search for "color mapping". Look at the earlier snippet. We'll replace exactly.
Now edit3: maybe we want to adjust the simulation step to avoid calling simulate on mousemove directly, but we can keep.
Let's do the edits now.{"path":"index.html","edits":[{"oldText":" // ----- Canvas and context -----\n const canvas = document.getElementById('canvas'Successfully replaced 2 block(s) in index.html.
thinking
Great. Now we need to also adjust the grid scaling because width/height may not be equal to 800 anymore. The scale variable uses `gridSize / width`. That's fine; width may be different now. But we also need to ensure that the canvas element's width and height attributes are set appropriately. In HTML we have `<canvas id=\"canvas\" width=\"800\" height=\"800\">`. We should remove those static attributes and let JavaScript set them. Let's edit the HTML canvas tag. Find `<canvas id=\"canvas\" width=\"800\" height=\"800\">` and replace with `<canvas id=\"canvas\">`. Let's locate that line. Let's search around line 80. Let's read from line 70.
{"path":"index.html","offset":70,"limit":20}border-radius: 8px; padding: 20px; border: 1px solid #444; max-height: 80vh; overflow-y: auto; } .panel { margin-bottom: 20px; } h2 { color: #4ecdc4; margin-bottom: 15px; font-size: 1.4rem; border-bottom: 1px solid #444; padding-bottom: 5px; } .param { display: flex; justify-content: space-between; align-items: center; [454 more lines in file. Use offset=90 to continue.]
thinking
Let's search for canvas tag using grep. Let's run a quick bash command.
{"command":"grep -n 'canvas id' index.html"}179: <canvas id="canvas" width="800" height="800"></canvas>
thinking
Now let's edit line 179. Let's read lines around it to get exact string
{"path":"index.html"}<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Gray‑Scott Reaction‑Diffusion</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background: #111; color: #eee; display: flex; flex-direction: column; align-items: center; min-height: 100vh; overflow: hidden; } header { text-align: center; padding: 20px; width: 100%; background: rgba(0, 0, 0, 0.8); border-bottom: 1px solid #333; } h1 { font-size: 2.5rem; margin-bottom: 8px; background: linear-gradient(90deg, #ff6b6b, #4ecdc4); -webkit-background-clip: text; -webkit-text-fill-color: transparent; } .subtitle { font-size: 1.1rem; opacity: 0.8; margin-bottom: 12px; } .container { display: flex; flex-wrap: wrap; justify-content: center; gap: 20px; padding: 20px; max-width: 1400px; width: 100%; } .canvas-container { flex: 1; min-width: 300px; max-width: 800px; position: relative; border-radius: 8px; overflow: hidden; box-shadow: 0 0 30px rgba(0, 100, 100, 0.5); } canvas { display: block; width: 100%; height: auto; background: #000; cursor: crosshair; } .controls { flex: 0 0 300px; background: rgba(30, 30, 40, 0.9); border-radius: 8px; padding: 20px; border: 1px solid #444; max-height: 80vh; overflow-y: auto; } .panel { margin-bottom: 20px; } h2 { color: #4ecdc4; margin-bottom: 15px; font-size: 1.4rem; border-bottom: 1px solid #444; padding-bottom: 5px; } .param { display: flex; justify-content: space-between; align-items: center; margin-bottom: 12px; } label { flex: 1; font-size: 0.95rem; } input[type="range"] { width: 150px; margin-right: 10px; } input[type="number"] { width: 70px; background: #222; border: 1px solid #444; color: #eee; padding: 5px; border-radius: 4px; text-align: center; } button { background: #333; color: #eee; border: 1px solid #555; padding: 8px 15px; margin: 5px; border-radius: 4px; cursor: pointer; transition: background 0.2s; } button:hover { background: #444; } button:active { background: #555; } .presets { display: flex; flex-wrap: wrap; gap: 8px; margin-top: 10px; } .presets button { flex: 1; min-width: 80px; background: #2a2a3a; } footer { margin-top: auto; padding: 15px; font-size: 0.9rem; opacity: 0.7; text-align: center; width: 100%; background: rgba(0, 0, 0, 0.8); border-top: 1px solid #333; } .info { font-size: 0.9rem; line-height: 1.4; color: #aaa; } .info p { margin-bottom: 10px; } #status { font-size: 0.85rem; color: #4ecdc4; margin-top: 10px; text-align: center; } @media (max-width: 768px) { .container { flex-direction: column; align-items: center; } .controls { width: 100%; max-width: 800px; } } </style> </head> <body> <header> <h1>Gray‑Scott Reaction‑Diffusion</h1> <div class="subtitle">Organic Turing Patterns • Click/Drag to Seed New Growth</div> </header> <div class="container"> <div class="canvas-container"> <canvas id="canvas" width="800" height="800"></canvas> </div> <div class="controls"> <div class="panel"> <h2>Simulation Parameters</h2> <div class="param"> <label for="f">Feed rate (f)</label> <input type="range" id="f" min="0.01" max="0.1" step="0.001" value="0.055"> <input type="number" id="fVal" step="0.001" value="0.055"> </div> <div class="param"> <label for="k">Kill rate (k)</label> <input type="range" id="k" min="0.04" max="0.07" step="0.001" value="0.062"> <input type="number" id="kVal" step="0.001" value="0.062"> </div> <div class="param"> <label for="dU">Diffusion U (Du)</label> <input type="range" id="dU" min="0.1" max="2.0" step="0.01" value="1.0"> <input type="number" id="dUVal" step="0.01" value="1.0"> </div> <div class="param"> <label for="dV">Diffusion V (Dv)</label> <input type="range" id="dV" min="0.1" max="2.0" step="0.01" value="0.5"> <input type="number" id="dVVal" step="0.01" value="0.5"> </div> <div class="param"> <label for="dt">Time step (dt)</label> <input type="range" id="dt" min="0.1" max="2.0" step="0.1" value="1.0"> <input type="number" id="dtVal" step="0.1" value="1.0"> </div> <div class="param"> <label for="brushSize">Brush size</label> <input type="range" id="brushSize" min="5" max="50" step="1" value="15"> <input type="number" id="brushSizeVal" step="1" value="15"> </div> <div class="param"> <label for="brushStrength">Brush strength</label> <input type="range" id="brushStrength" min="0.1" max="2.0" step="0.1" value="1.0"> <input type="number" id="brushStrengthVal" step="0.1" value="1.0"> </div> </div> <div class="panel"> <h2>Actions</h2> <button id="reset">Reset Simulation</button> <button id="randomSeed">Random Seed</button> <button id="clearMouse">Clear Brush Effects</button> <button id="pause">Pause Simulation</button> <div id="status">Running</div> </div> <div class="panel"> <h2>Pattern Presets</h2> <div class="presets"> <button data-f="0.055" data-k="0.062">Spots</button> <button data-f="0.03" data-k="0.062">Worms</button> <button data-f="0.026" data-k="0.061">Mazes</button> <button data-f="0.012" data-k="0.05">Holes</button> <button data-f="0.035" data-k="0.065">Moving</button> </div> </div> <div class="panel"> <h2>Information</h2> <div class="info"> <p>The Gray‑Scott model simulates an autocatalytic reaction‑diffusion system that generates organic Turing patterns.</p> <p>Click or drag on the canvas to add chemicals and seed new growth.</p> <p>Adjust feed (f) and kill (k) rates to change pattern morphology.</p> <p>Patterns emerge from random noise through local activation and long‑range inhibition.</p> </div> </div> </div> </div> <footer> Gray‑Scott Reaction‑Diffusion Simulation • Real‑time JavaScript • No external dependencies </footer> <script> // ----- Canvas and context ----- const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); let width, height; function resizeCanvas() { const container = canvas.parentElement; width = canvas.width = container.clientWidth * window.devicePixelRatio; height = canvas.height = container.clientHeight * window.devicePixelRatio; } resizeCanvas(); window.addEventListener('resize', resizeCanvas); // ----- Simulation grid ----- const gridSize = 200; // internal resolution let u = new Float64Array(gridSize * gridSize); let v = new Float64Array(gridSize * gridSize); let uNext = new Float64Array(gridSize * gridSize); let vNext = new Float64Array(gridSize * gridSize); // ----- Parameters ----- let params = { f: 0.055, k: 0.062, dU: 1.0, dV: 0.5, dt: 1.0, brushSize: 15, brushStrength: 1.0, paused: false }; // ----- Mouse state ----- let mouse = { x: 0, y: 0, down: false, radius: 0 }; // ----- Initialize with random noise ----- function reset() { for (let i = 0; i < u.length; i++) { u[i] = 1.0; v[i] = 0.0; // add small random perturbations let rx = Math.random() * 0.2 - 0.1; u[i] += rx; v[i] -= rx; } // add a few spots of V for (let n = 0; n < 10; n++) { let cx = Math.floor(Math.random() * gridSize); let cy = Math.floor(Math.random() * gridSize); for (let dy = -2; dy <= 2; dy++) { for (let dx = -2; dx <= 2; dx++) { let x = cx + dx; let y = cy + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { let idx = y * gridSize + x; v[idx] = 0.5 + Math.random() * 0.5; } } } } updateDisplay(); } // ----- Random seed (more noise) ----- function randomSeed() { for (let i = 0; i < u.length; i++) { u[i] = 0.5 + Math.random() * 0.5; v[i] = Math.random() * 0.5; } updateDisplay(); } // ----- Clear mouse additions (restore uniform) ----- function clearMouse() { for (let i = 0; i < u.length; i++) { u[i] = 1.0; v[i] = 0.0; } updateDisplay(); } // ----- Laplace kernel (5‑point stencil) ----- function laplace(arr, idx, stride) { const val = arr[idx]; const left = arr[idx - 1] || val; const right = arr[idx + 1] || val; const up = arr[idx - stride] || val; const down = arr[idx + stride] || val; return (left + right + up + down - 4 * val); } // ----- Simulation step ----- function simulate() { if (params.paused) return; const stride = gridSize; const dU = params.dU; const dV = params.dV; const f = params.f; const k = params.k; const dt = params.dt; // compute next state for (let y = 1; y < gridSize - 1; y++) { for (let x = 1; x < gridSize - 1; x++) { const idx = y * stride + x; const uVal = u[idx]; const vVal = v[idx]; const lapU = laplace(u, idx, stride); const lapV = laplace(v, idx, stride); const reaction = uVal * vVal * vVal; const du = dU * lapU - reaction + f * (1 - uVal); const dv = dV * lapV + reaction - (k + f) * vVal; uNext[idx] = uVal + du * dt; vNext[idx] = vVal + dv * dt; // clamp to reasonable range if (uNext[idx] < 0) uNext[idx] = 0; if (uNext[idx] > 1) uNext[idx] = 1; if (vNext[idx] < 0) vNext[idx] = 0; if (vNext[idx] > 1) vNext[idx] = 1; } } // swap buffers let tmp = u; u = uNext; uNext = tmp; tmp = v; v = vNext; vNext = tmp; // apply mouse influence if (mouse.down) { const brushSize = params.brushSize; const strength = params.brushStrength; const mx = Math.floor(mouse.x * gridSize); const my = Math.floor(mouse.y * gridSize); const radius = Math.floor(brushSize / 2); for (let dy = -radius; dy <= radius; dy++) { for (let dx = -radius; dx <= radius; dx++) { const x = mx + dx; const y = my + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { const idx = y * stride + x; // add some V and reduce U u[idx] = Math.max(0, u[idx] - strength * 0.05); v[idx] = Math.min(1, v[idx] + strength * 0.1); } } } } updateDisplay(); } // ----- Render to canvas ----- function updateDisplay() { const imageData = ctx.createImageData(width, height); const data = imageData.data; const scale = gridSize / width; for (let py = 0; py < height; py++) { for (let px = 0; px < width; px++) { const gx = Math.floor(px * scale); const gy = Math.floor(py * scale); const idx = gy * gridSize + gx; const uVal = u[idx]; const vVal = v[idx]; // color mapping: U -> cyan, V -> magenta, difference -> gray let r = Math.floor(vVal * 255); let g = Math.floor((uVal - vVal) * 255); let b = Math.floor(uVal * 255); r = Math.max(0, Math.min(255, r)); g = Math.max(0, Math.min(255, g)); b = Math.max(0, Math.min(255, b)); const p = (py * width + px) * 4; data[p] = r; data[p + 1] = g; data[p + 2] = b; data[p + 3] = 255; } } ctx.putImageData(imageData, 0, 0); } // ----- Mouse events ----- function getMousePos(e) { const rect = canvas.getBoundingClientRect(); return { x: (e.clientX - rect.left) / rect.width, y: (e.clientY - rect.top) / rect.height }; } canvas.addEventListener('mousemove', (e) => { const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; if (mouse.down) { // immediate effect while dragging simulate(); } }); canvas.addEventListener('mousedown', (e) => { mouse.down = true; const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; simulate(); // apply once on click }); canvas.addEventListener('mouseup', () => { mouse.down = false; }); canvas.addEventListener('mouseleave', () => { mouse.down = false; }); // ----- Parameter UI synchronization ----- function syncParam(id, val) { const slider = document.getElementById(id); const number = document.getElementById(id + 'Val'); slider.value = val; number.value = val; params[id] = parseFloat(val); } // set up sliders and number inputs const paramIds = ['f', 'k', 'dU', 'dV', 'dt', 'brushSize', 'brushStrength']; paramIds.forEach(id => { const slider = document.getElementById(id); const number = document.getElementById(id + 'Val'); function update() { const val = parseFloat(slider.value); params[id] = val; number.value = val.toFixed(id === 'f' || id === 'k' ? 3 : 2); } slider.addEventListener('input', update); number.addEventListener('input', () => { const val = parseFloat(number.value); if (!isNaN(val)) { slider.value = val; params[id] = val; } }); // initial sync update(); }); // ----- Button actions ----- document.getElementById('reset').addEventListener('click', reset); document.getElementById('randomSeed').addEventListener('click', randomSeed); document.getElementById('clearMouse').addEventListener('click', clearMouse); document.getElementById('pause').addEventListener('click', function() { params.paused = !params.paused; this.textContent = params.paused ? 'Resume' : 'Pause'; document.getElementById('status').textContent = params.paused ? 'Paused' : 'Running'; }); // ----- Preset buttons ----- document.querySelectorAll('.presets button').forEach(btn => { btn.addEventListener('click', () => { const f = parseFloat(btn.dataset.f); const k = parseFloat(btn.dataset.k); syncParam('f', f); syncParam('k', k); }); }); // ----- Animation loop ----- function animate() { simulate(); requestAnimationFrame(animate); } // ----- Start ----- reset(); animate(); </script> </body> </html>
thinking
Now we need to edit the canvas tag to remove width and height attributes. Let's locate the exact line: `<canvas id="canvas" width="800" height="800"></canvas>`. We'll replace with `<canvas id="canvas"></canvas>`. Let's do that edit.
{"path":"index.html","edits":[{"oldText":" <canvas id=\"canvas\" width=\"800\" height=\"800\"></canvas>","newText":" <Successfully replaced 1 block(s) in index.html.
thinking
Now we should also adjust the CSS for canvas: currently `canvas { display: block; width: 100%; height: auto; }`. That's fine; height: auto will maintain aspect ratio based on width and height attributes (which we set dynamically). However, we want canvas to fill its container both width and height. The container `.canvas-container` has max-width 800px but no fixed height. We can set canvas height to 100% of container. Let's adjust CSS: change `height: auto` to `height: 100%`. Also ensure container has a height. The container is a flex item that grows; we can set `.canvas-container { height: 100%; }` maybe.
Let's edit the CSS. Find the canvas style block. Let's search for "canvas {" in the style section. Let's read lines around that. Let's use grep to find line number.{"command":"grep -n 'canvas {' index.html"}60: canvas {
thinking
Read lines 55-70
{"path":"index.html"}<!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Gray‑Scott Reaction‑Diffusion</title> <style> * { margin: 0; padding: 0; box-sizing: border-box; } body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background: #111; color: #eee; display: flex; flex-direction: column; align-items: center; min-height: 100vh; overflow: hidden; } header { text-align: center; padding: 20px; width: 100%; background: rgba(0, 0, 0, 0.8); border-bottom: 1px solid #333; } h1 { font-size: 2.5rem; margin-bottom: 8px; background: linear-gradient(90deg, #ff6b6b, #4ecdc4); -webkit-background-clip: text; -webkit-text-fill-color: transparent; } .subtitle { font-size: 1.1rem; opacity: 0.8; margin-bottom: 12px; } .container { display: flex; flex-wrap: wrap; justify-content: center; gap: 20px; padding: 20px; max-width: 1400px; width: 100%; } .canvas-container { flex: 1; min-width: 300px; max-width: 800px; position: relative; border-radius: 8px; overflow: hidden; box-shadow: 0 0 30px rgba(0, 100, 100, 0.5); } canvas { display: block; width: 100%; height: auto; background: #000; cursor: crosshair; } .controls { flex: 0 0 300px; background: rgba(30, 30, 40, 0.9); border-radius: 8px; padding: 20px; border: 1px solid #444; max-height: 80vh; overflow-y: auto; } .panel { margin-bottom: 20px; } h2 { color: #4ecdc4; margin-bottom: 15px; font-size: 1.4rem; border-bottom: 1px solid #444; padding-bottom: 5px; } .param { display: flex; justify-content: space-between; align-items: center; margin-bottom: 12px; } label { flex: 1; font-size: 0.95rem; } input[type="range"] { width: 150px; margin-right: 10px; } input[type="number"] { width: 70px; background: #222; border: 1px solid #444; color: #eee; padding: 5px; border-radius: 4px; text-align: center; } button { background: #333; color: #eee; border: 1px solid #555; padding: 8px 15px; margin: 5px; border-radius: 4px; cursor: pointer; transition: background 0.2s; } button:hover { background: #444; } button:active { background: #555; } .presets { display: flex; flex-wrap: wrap; gap: 8px; margin-top: 10px; } .presets button { flex: 1; min-width: 80px; background: #2a2a3a; } footer { margin-top: auto; padding: 15px; font-size: 0.9rem; opacity: 0.7; text-align: center; width: 100%; background: rgba(0, 0, 0, 0.8); border-top: 1px solid #333; } .info { font-size: 0.9rem; line-height: 1.4; color: #aaa; } .info p { margin-bottom: 10px; } #status { font-size: 0.85rem; color: #4ecdc4; margin-top: 10px; text-align: center; } @media (max-width: 768px) { .container { flex-direction: column; align-items: center; } .controls { width: 100%; max-width: 800px; } } </style> </head> <body> <header> <h1>Gray‑Scott Reaction‑Diffusion</h1> <div class="subtitle">Organic Turing Patterns • Click/Drag to Seed New Growth</div> </header> <div class="container"> <div class="canvas-container"> <canvas id="canvas"></canvas> </div> <div class="controls"> <div class="panel"> <h2>Simulation Parameters</h2> <div class="param"> <label for="f">Feed rate (f)</label> <input type="range" id="f" min="0.01" max="0.1" step="0.001" value="0.055"> <input type="number" id="fVal" step="0.001" value="0.055"> </div> <div class="param"> <label for="k">Kill rate (k)</label> <input type="range" id="k" min="0.04" max="0.07" step="0.001" value="0.062"> <input type="number" id="kVal" step="0.001" value="0.062"> </div> <div class="param"> <label for="dU">Diffusion U (Du)</label> <input type="range" id="dU" min="0.1" max="2.0" step="0.01" value="1.0"> <input type="number" id="dUVal" step="0.01" value="1.0"> </div> <div class="param"> <label for="dV">Diffusion V (Dv)</label> <input type="range" id="dV" min="0.1" max="2.0" step="0.01" value="0.5"> <input type="number" id="dVVal" step="0.01" value="0.5"> </div> <div class="param"> <label for="dt">Time step (dt)</label> <input type="range" id="dt" min="0.1" max="2.0" step="0.1" value="1.0"> <input type="number" id="dtVal" step="0.1" value="1.0"> </div> <div class="param"> <label for="brushSize">Brush size</label> <input type="range" id="brushSize" min="5" max="50" step="1" value="15"> <input type="number" id="brushSizeVal" step="1" value="15"> </div> <div class="param"> <label for="brushStrength">Brush strength</label> <input type="range" id="brushStrength" min="0.1" max="2.0" step="0.1" value="1.0"> <input type="number" id="brushStrengthVal" step="0.1" value="1.0"> </div> </div> <div class="panel"> <h2>Actions</h2> <button id="reset">Reset Simulation</button> <button id="randomSeed">Random Seed</button> <button id="clearMouse">Clear Brush Effects</button> <button id="pause">Pause Simulation</button> <div id="status">Running</div> </div> <div class="panel"> <h2>Pattern Presets</h2> <div class="presets"> <button data-f="0.055" data-k="0.062">Spots</button> <button data-f="0.03" data-k="0.062">Worms</button> <button data-f="0.026" data-k="0.061">Mazes</button> <button data-f="0.012" data-k="0.05">Holes</button> <button data-f="0.035" data-k="0.065">Moving</button> </div> </div> <div class="panel"> <h2>Information</h2> <div class="info"> <p>The Gray‑Scott model simulates an autocatalytic reaction‑diffusion system that generates organic Turing patterns.</p> <p>Click or drag on the canvas to add chemicals and seed new growth.</p> <p>Adjust feed (f) and kill (k) rates to change pattern morphology.</p> <p>Patterns emerge from random noise through local activation and long‑range inhibition.</p> </div> </div> </div> </div> <footer> Gray‑Scott Reaction‑Diffusion Simulation • Real‑time JavaScript • No external dependencies </footer> <script> // ----- Canvas and context ----- const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); let width, height; function resizeCanvas() { const container = canvas.parentElement; width = canvas.width = container.clientWidth * window.devicePixelRatio; height = canvas.height = container.clientHeight * window.devicePixelRatio; } resizeCanvas(); window.addEventListener('resize', resizeCanvas); // ----- Simulation grid ----- const gridSize = 200; // internal resolution let u = new Float64Array(gridSize * gridSize); let v = new Float64Array(gridSize * gridSize); let uNext = new Float64Array(gridSize * gridSize); let vNext = new Float64Array(gridSize * gridSize); // ----- Parameters ----- let params = { f: 0.055, k: 0.062, dU: 1.0, dV: 0.5, dt: 1.0, brushSize: 15, brushStrength: 1.0, paused: false }; // ----- Mouse state ----- let mouse = { x: 0, y: 0, down: false, radius: 0 }; // ----- Initialize with random noise ----- function reset() { for (let i = 0; i < u.length; i++) { u[i] = 1.0; v[i] = 0.0; // add small random perturbations let rx = Math.random() * 0.2 - 0.1; u[i] += rx; v[i] -= rx; } // add a few spots of V for (let n = 0; n < 10; n++) { let cx = Math.floor(Math.random() * gridSize); let cy = Math.floor(Math.random() * gridSize); for (let dy = -2; dy <= 2; dy++) { for (let dx = -2; dx <= 2; dx++) { let x = cx + dx; let y = cy + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { let idx = y * gridSize + x; v[idx] = 0.5 + Math.random() * 0.5; } } } } updateDisplay(); } // ----- Random seed (more noise) ----- function randomSeed() { for (let i = 0; i < u.length; i++) { u[i] = 0.5 + Math.random() * 0.5; v[i] = Math.random() * 0.5; } updateDisplay(); } // ----- Clear mouse additions (restore uniform) ----- function clearMouse() { for (let i = 0; i < u.length; i++) { u[i] = 1.0; v[i] = 0.0; } updateDisplay(); } // ----- Laplace kernel (5‑point stencil) ----- function laplace(arr, idx, stride) { const val = arr[idx]; const left = arr[idx - 1] || val; const right = arr[idx + 1] || val; const up = arr[idx - stride] || val; const down = arr[idx + stride] || val; return (left + right + up + down - 4 * val); } // ----- Simulation step ----- function simulate() { if (params.paused) return; const stride = gridSize; const dU = params.dU; const dV = params.dV; const f = params.f; const k = params.k; const dt = params.dt; // compute next state for (let y = 1; y < gridSize - 1; y++) { for (let x = 1; x < gridSize - 1; x++) { const idx = y * stride + x; const uVal = u[idx]; const vVal = v[idx]; const lapU = laplace(u, idx, stride); const lapV = laplace(v, idx, stride); const reaction = uVal * vVal * vVal; const du = dU * lapU - reaction + f * (1 - uVal); const dv = dV * lapV + reaction - (k + f) * vVal; uNext[idx] = uVal + du * dt; vNext[idx] = vVal + dv * dt; // clamp to reasonable range if (uNext[idx] < 0) uNext[idx] = 0; if (uNext[idx] > 1) uNext[idx] = 1; if (vNext[idx] < 0) vNext[idx] = 0; if (vNext[idx] > 1) vNext[idx] = 1; } } // swap buffers let tmp = u; u = uNext; uNext = tmp; tmp = v; v = vNext; vNext = tmp; // apply mouse influence if (mouse.down) { const brushSize = params.brushSize; const strength = params.brushStrength; const mx = Math.floor(mouse.x * gridSize); const my = Math.floor(mouse.y * gridSize); const radius = Math.floor(brushSize / 2); for (let dy = -radius; dy <= radius; dy++) { for (let dx = -radius; dx <= radius; dx++) { const x = mx + dx; const y = my + dy; if (x >= 0 && x < gridSize && y >= 0 && y < gridSize) { const idx = y * stride + x; // add some V and reduce U u[idx] = Math.max(0, u[idx] - strength * 0.05); v[idx] = Math.min(1, v[idx] + strength * 0.1); } } } } updateDisplay(); } // ----- Render to canvas ----- function updateDisplay() { const imageData = ctx.createImageData(width, height); const data = imageData.data; const scale = gridSize / width; for (let py = 0; py < height; py++) { for (let px = 0; px < width; px++) { const gx = Math.floor(px * scale); const gy = Math.floor(py * scale); const idx = gy * gridSize + gx; const uVal = u[idx]; const vVal = v[idx]; // color mapping: U -> cyan, V -> magenta, difference -> gray let r = Math.floor(vVal * 255); let g = Math.floor((uVal - vVal) * 255); let b = Math.floor(uVal * 255); r = Math.max(0, Math.min(255, r)); g = Math.max(0, Math.min(255, g)); b = Math.max(0, Math.min(255, b)); const p = (py * width + px) * 4; data[p] = r; data[p + 1] = g; data[p + 2] = b; data[p + 3] = 255; } } ctx.putImageData(imageData, 0, 0); } // ----- Mouse events ----- function getMousePos(e) { const rect = canvas.getBoundingClientRect(); return { x: (e.clientX - rect.left) / rect.width, y: (e.clientY - rect.top) / rect.height }; } canvas.addEventListener('mousemove', (e) => { const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; if (mouse.down) { // immediate effect while dragging simulate(); } }); canvas.addEventListener('mousedown', (e) => { mouse.down = true; const pos = getMousePos(e); mouse.x = pos.x; mouse.y = pos.y; simulate(); // apply once on click }); canvas.addEventListener('mouseup', () => { mouse.down = false; }); canvas.addEventListener('mouseleave', () => { mouse.down = false; }); // ----- Parameter UI synchronization ----- function syncParam(id, val) { const slider = document.getElementById(id); const number = document.getElementById(id + 'Val'); slider.value = val; number.value = val; params[id] = parseFloat(val); } // set up sliders and number inputs const paramIds = ['f', 'k', 'dU', 'dV', 'dt', 'brushSize', 'brushStrength']; paramIds.forEach(id => { const slider = document.getElementById(id); const number = document.getElementById(id + 'Val'); function update() { const val = parseFloat(slider.value); params[id] = val; number.value = val.toFixed(id === 'f' || id === 'k' ? 3 : 2); } slider.addEventListener('input', update); number.addEventListener('input', () => { const val = parseFloat(number.value); if (!isNaN(val)) { slider.value = val; params[id] = val; } }); // initial sync update(); }); // ----- Button actions ----- document.getElementById('reset').addEventListener('click', reset); document.getElementById('randomSeed').addEventListener('click', randomSeed); document.getElementById('clearMouse').addEventListener('click', clearMouse); document.getElementById('pause').addEventListener('click', function() { params.paused = !params.paused; this.textContent = params.paused ? 'Resume' : 'Pause'; document.getElementById('status').textContent = params.paused ? 'Paused' : 'Running'; }); // ----- Preset buttons ----- document.querySelectorAll('.presets button').forEach(btn => { btn.addEventListener('click', () => { const f = parseFloat(btn.dataset.f); const k = parseFloat(btn.dataset.k); syncParam('f', f); syncParam('k', k); }); }); // ----- Animation loop ----- function animate() { simulate(); requestAnimationFrame(animate); } // ----- Start ----- reset(); animate(); </script> </body> </html>
thinking
Now edit CSS: change canvas height to 100% and also set .canvas-container height to 100% (or min-height). Let's edit the canvas block. Let's find the exact line:
```
canvas {
display: block;
width: 100%;
height: auto;
background: #000;
cursor: crosshair;
}
```
Replace height: auto with height: 100%. Also maybe add `object-fit: contain`? Not needed.
Additionally, set .canvas-container to have height: 100% (or maybe flex: 1). Let's adjust .canvas-container to have `height: 100%;` or `min-height: 500px`. The container already has `flex: 1` which will grow to fill available space. That's fine. We'll also add `height: 100%` to ensure it fills vertically.
Let's edit both. We'll do two separate edits.
First, edit canvas block. Let's locate exact oldText:
```
canvas {
display: block;
width: 100%;
height: auto;
background: #000;
cursor: crosshair;
}
```
Replace with:
```
canvas {
display: block;
width: 100%;
height: 100%;
background: #000;
cursor: crosshair;
}
```
Second, edit .canvas-container block to add height: 100%. Currently:
```
.canvas-container {
flex: 1;
min-width: 300px;
max-width: 800px;
position: relative;
border-radius: 8px;
overflow: hidden;
box-shadow: 0 0 30px rgba(0, 100, 100, 0.5);
}
```
Add `height: 100%;` after flex:1.
Let's do both edits.{"path":"index.html","edits":[{"oldText":" canvas {\n display: block;\n width: 100%;\n height: auto;Successfully replaced 2 block(s) in index.html.
thinking
Now we need to also ensure the container has a height. The parent `.container` is a flex row with `flex: 1`? Actually `.container` is not flex item; it's just a div with flex display. It does not have a defined height. The body is column flex with `min-height: 100vh`. The header and footer have auto heights. The container has `flex: 1`? Wait, we didn't set flex:1 on .container. Let's add `flex: 1` to .container so it expands vertically to fill space between header and footer. Let's edit .container block.
Find:
```
.container {
display: flex;
flex-wrap: wrap;
justify-content: center;
gap: 20px;
padding: 20px;
max-width: 1400px;
width: 100%;
}
```
Add `flex: 1;` and maybe `min-height: 0;` to allow shrinking. Let's do that.{"path":"index.html","edits":[{"oldText":" .container {\n display: flex;\n flex-wrap: wrap;\n justifSuccessfully replaced 1 block(s) in index.html.
TAKE IT TO CODE
This run produced no artifact — reuse the prompt with a different model or your own pi-agent run.