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Reaction-diffusion · llama-4-scout

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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user

Run a Gray-Scott reaction-diffusion simulation on a canvas that grows organic Turing patterns in real time, with the mouse seeding new growth.

assistant

a Gray-Scott reaction-diffusion simulation on a canvas that grows organic Turing patterns in real time, with the mouse seeding new growth, we will need to write an HTML file that includes CSS for styling, and JavaScript for the simulation logic. Below is a basic implementation of such a simulation. This code will create a simple Gray-Scott model simulation where you can click to seed new growth. ```html <!DOCTYPE html> <html> <head> <title>Gray-Scott Reaction-Diffusion Simulation</title> <style> body { margin: 0; background-color: #f0f0f0; } #canvas { border: 1px solid black; } </style> </head> <body> <canvas id="canvas" width="400" height="400"></canvas> <script> const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); const width = canvas.width; const height = canvas.height; let imageData = ctx.createImageData(width, height); let data = imageData.data; // Parameters for the Gray-Scott model const Du = 0.16; const Dv = 0.08; const F = 0.035; const k = 0.065; const dt = 1; let U = new Array(width * height).fill(1); let V = new Array(width * height).fill(0); // Function to draw the simulation function draw() { for (let i = 0; i < width * height; i++) { let index = i * 4; let u = U[i]; let v = V[i]; let c = Math.max(0, Math.min(255, Math.floor((u - v) * 255 / 2 + 128))); data[index] = c; // Red data[index + 1] = c; // Green data[index + 2] = c; // Blue data[index + 3] = 255; // Alpha } ctx.putImageData(imageData, 0, 0); } // Function to update the simulation function update() { let newU = [...U]; let newV = [...V]; for (let y = 0; y < height; y++) { for (let x = 0; x < width; x++) { let i = y * width + x; let u = U[i]; let v = V[i]; // Diffusion let Lu = 0; let Lv = 0; if (x > 0) { Lu += Du * (U[i - 1] - u); Lv += Dv * (V[i - 1] - v); if (x < width - 1) { Lu += Du * (U[i + 1] - u); Lv += Dv * (V[i + 1] - v); } if (y > 0) { Lu += Du * (U[i - width] - u); Lv += Dv * (V[i - width] - v); } if (y < height - 1) { Lu += Du * (U[i + width] - u); Lv += Dv * (V[i + width] - v); } // Reaction let uvv = u * v * v; let Fu = F * (u - uvv); let Fv = F * (uvv - v); newU[i] = u + (Lu + Fu) * dt; newV[i] = v + (Lv + Fv) * dt; } } U = newU; V = newV; } // Event listener for mouse click canvas.addEventListener('click', (e) => { let x = Math.floor(e.clientX - canvas.offsetLeft); let y = Math.floor(e.clientY - canvas.offsetTop); let i = y * width + x; U[i] = 1; V[i] = 0.5; }); // Main loop function loop() { update(); draw requestAnimationFrame(loop); } loop(); </script> </body> </html> ``` To create the `index.html` file with the above content, you can use the `write` tool: ```python [ write(path="index.html", content="<!DOCTYPE html>\n<html>\n<head>\n <title>Gray-Scott Reaction-Diffusion Simulation</title>\n <style>\n body {\n margin: 0;\n background-color: #f0f0f0;\n }\n #canvas {\n border: 1px solid black;\n }\n </style>\n</head>\n<body>\n<canvas id=\"canvas\" width=\"400\" height=\"400\"></canvas>\n<script>\n const canvas = document.getElementById('canvas');\n const ctx = canvas.getContext('2d');\n const width = canvas.width;\n const height = canvas.height;\n let imageData = ctx.createImageData(width, height);\n let data = imageData.data;\n\n // Parameters for the Gray-Scott model\n const Du = 0.16;\n const Dv = 0.08;\n const F = 0.035;\n const k = 0.065;\n const dt = 1;\n let U = new Array(width * height).fill(1);\n let V = new Array(width * height).fill(0);\n\n // Function to draw the simulation\n function draw() {\n for (let i = 0; i < width * height; i++) {\n let index = i * 4;\n let u = U[i];\n let v = V[i];\n let c = Math.max(0, Math.min(255, Math.floor((u - v) * 255 / 2 + 128)));\n data[index] = c; // Red\n data[index + 1] = c; // Green\n data[index + 2] = c; // Blue\n data[index + 3] = 255; // Alpha\n }\n ctx.putImageData(imageData, 0, 0);\n }\n\n // Function to update the simulation\n function update() {\n let newU = [...U];\n let newV = [...V];\n for (let y = 0; y < height; y++) {\n for (let x = 0; x < width; x++) {\n let i = y * width + x;\n let u = U[i];\n let v = V[i];\n\n // Diffusion\n let Lu = 0;\n let Lv = 0;\n if (x > 0) {\n Lu += Du * (U[i - 1] - u);\n Lv += Dv * (V[i - 1] - v);\n }\n if (x < width - 1) {\n Lu += Du * (U[i + 1] - u);\n Lv += Dv * (V[i + 1] - v);\n }\n if (y > 0) {\n Lu += Du * (U[i - width] - u);\n Lv += Dv * (V[i - width] - v);\n }\n if (y < height - 1) {\n Lu += Du * (U[i + width] - u);\n Lv += Dv * (V[i + width] - v);\n }\n\n // Reaction\n let uvv = u * v * v;\n let Fu = F * (u - uvv);\n let Fv = F * (uvv - v);\n\n newU[i] = u + (Lu + Fu) * dt;\n newV[i] = v + (Lv + Fv) * dt;\n }\n }\n U = newU;\n V = newV;\n }\n\n // Event listener for mouse click\n canvas.addEventListener('click', (e) => {\n let x = Math.floor(e.clientX - canvas.offsetLeft);\n let y = Math.floor(e.clientY - canvas.offsetTop);\n let i = y * width + x;\n U[i] = 1;\n V[i] = 0.5;\n });\n\n // Main loop\n function loop() {\n update();\n draw();\n requestAnimationFrame(loop);\n }\n\n loop();\n</script>\n</body>\n</html>") ] ```

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modelllama-4-scout
vendorMeta · Llama
harnesspi-agent
generated2026-08-01

METRICS

runtime17.1s
tokens in1.5k
tokens out1.7k
cached0
cost / run$0.0007