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ELC/apt.txt

Last active November 25, 2019 18:34
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Pascal Triangle Visualization
Raw
environment.yml
channels:
- defaults
- conda-forge
dependencies:
- ipython
- ipywidgets
- matplotlib
- numpy
- scipy
Display the source blob
Display the rendered blob
Raw
pascal_triangle.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"from matplotlib import animation\n",
"from IPython.display import HTML\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def memoize(f):\n",
" memo = {}\n",
" def helper(x):\n",
" if x not in memo:\n",
" memo[x] = f(x)\n",
" return memo[x]\n",
" return helper"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"@memoize\n",
"def pascal_triangle(n):\n",
" if n == 0:\n",
" return [np.array([1])]\n",
" prev = pascal_triangle(n - 1)[-1]\n",
" middle = np.add(prev[:-1], prev[1:])\n",
" return pascal_triangle(n - 1) + [np.array([1, *middle, 1], dtype=np.ulonglong)]\n",
"\n",
"@memoize\n",
"def pascal_last_row(n):\n",
" return pascal_triangle(n)[-1]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def animate(i, length, ax, width):\n",
" if i == 0:\n",
" im = ax.imshow([[0],[0]], cmap='Greys', aspect='equal', extent=(0, width - 2, 0, length), animated=True)\n",
" return im,\n",
"\n",
" elements = pascal_last_row(i)\n",
" \n",
" extra_space = [0] * ((width - len(elements) - 1) // 2)\n",
" \n",
" elements = extra_space + list(elements) + extra_space\n",
"\n",
" real_width = len(elements)\n",
"\n",
" if real_width % 2 == 1:\n",
" real_width -= 1\n",
" \n",
" binary_elements = []\n",
"\n",
" for j in elements:\n",
" row = []\n",
" for k in bin(j)[2:].zfill(length):\n",
" row.append(int(k))\n",
" \n",
" binary_elements.append(row)\n",
" \n",
" im = ax.imshow(np.transpose(binary_elements), cmap='Greys', aspect='equal', extent=(0, real_width, 0, length), animated=True)\n",
" \n",
" return im,"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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"\">\n",
" Your browser does not support the video tag.\n",
"</video>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"frames = 20\n",
"last_row = pascal_last_row(frames)\n",
"length = len(bin(max(last_row))[2:]) - 1\n",
"width = len(last_row)\n",
"\n",
"aspect_ratio = width / length\n",
"\n",
"frame_width = 8\n",
"\n",
"fig, ax = plt.subplots(figsize=(frame_width, frame_width / aspect_ratio))\n",
"\n",
"fig.subplots_adjust(left=0, bottom=0.01, right=1, top=1)\n",
"\n",
"ax.set_xticks([]) \n",
"ax.set_yticks([]) \n",
"\n",
"if frames % 2 == 0:\n",
" width += 1\n",
"\n",
"anim = animation.FuncAnimation(fig, animate, frames=frames, interval=1000, blit=True, fargs=(length, ax, width))\n",
"\n",
"plt.close() # Avoid extra picture\n",
"\n",
"HTML(anim.to_html5_video())"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"Writer = animation.writers['ffmpeg']\n",
"writer = Writer(fps=1, metadata=dict(artist='Me'), bitrate=1800)\n",
"\n",
"anim.save('im.mp4', writer=writer)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.7"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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