taichi_fractal.ipynb

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   "source": [
    "https://docs.taichi.graphics/"
   ]
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   "id": "736c8a2e-a831-4056-adbd-d0b2fab2b295",
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   "source": [
    "import taichi as ti"
   ]
  },
  {
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     "name": "stdout",
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     "text": [
      "[Taichi] Starting on arch=metal\n"
     ]
    }
   ],
   "source": [
    "# Run on GPU, with the Apple Metal backend, if you are on macOS\n",
    "ti.init(arch=ti.metal)"
   ]
  },
  {
   "cell_type": "code",
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   "source": [
    "n = 320\n",
    "pixels = ti.field(dtype=float, shape=(n * 2, n))\n",
    "\n",
    "@ti.func\n",
    "def complex_sqr(z):\n",
    "    return ti.Vector([z[0]**2 - z[1]**2, z[1] * z[0] * 2])\n",
    "\n",
    "@ti.kernel\n",
    "def paint(t: float):\n",
    "    for i, j in pixels:  # Parallelized over all pixels\n",
    "        c = ti.Vector([-0.8, ti.cos(t) * 0.2])\n",
    "        z = ti.Vector([i / n - 1, j / n - 0.5]) * 2\n",
    "        iterations = 0\n",
    "        while z.norm() < 20 and iterations < 50:\n",
    "            z = complex_sqr(z) + c\n",
    "            iterations += 1\n",
    "        pixels[i, j] = 1 - iterations * 0.02\n",
    "\n",
    "gui = ti.GUI(\"Julia Set\", res=(n * 2, n))\n",
    "\n",
    "i = 0\n",
    "while gui.running:\n",
    "    paint(i * 0.03)\n",
    "    gui.set_image(pixels)\n",
    "    gui.show()\n",
    "    i = i + 1"
   ]
  },
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