{ "metadata": { "name": "", "signature": "sha256:ae39d08be8e79901647bcf1202e87a57e45a1d1044b100b748150110bdf1e688" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Inspired by this [post by Allen Downey](http://allendowney.blogspot.fr/2012/02/self-organized-criticality-and-holistic.html), let's model simple sand piles. The model is the following:\n", "\n", "- a sand pile is a grid on which each point has a certain value, its slope, or height\n", "- slopes are generated at random at the start of the simulation\n", "- at each time step, we check all grid points; if the slope is higher than 4, the cell's slope is decreased by 4 and each of its neighbors gains one slope point" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "from pylab import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "def generate_grid(n):\n", " return random_integers(0, 10, size=n*n).reshape(n, n)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "grid = generate_grid(4)\n", "grid" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "array([[ 9, 7, 2, 7],\n", " [ 8, 4, 3, 7],\n", " [ 5, 2, 7, 3],\n", " [ 8, 9, 10, 1]])" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This sort of grid can easily be visualized with the help of the `Axes3D` toolkit from Matplotlib." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_grid(grid, ax):\n", " n = grid.shape[0]\n", " xpos, ypos = meshgrid(arange(n), arange(n))\n", " xpos = xpos.flatten()\n", " ypos = ypos.flatten()\n", " zpos = 0.01 + zeros(n * n) # the little offset helps avoiding division by zero in certain cases\n", " dx = 0.5 * ones_like(zpos)\n", " dy = dx.copy()\n", " dz = grid.flatten()\n", " ax.bar3d(xpos, ypos, zpos, dx, dy, dz)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "plot_grid(grid, ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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f+jHAbmprYAsdHWv597+b+fe/l/GnP90NdOL1NjFu3Ei+8Y2Z7LPPPhx44IEM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\ntWsl39shQ4bQuXNnunbtyttvv82aNWts8lwaKg0m0g0JCeHKlStkZ2f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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "From here, we can implement the iteration procedure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def iterate_timestep(old_grid):\n", " n = old_grid.shape[0]\n", " new_grid = zeros(old_grid.shape)\n", " for i in range(n):\n", " for j in range(n):\n", " if old_grid[i, j] > 4:\n", " new_grid[i, j] += (old_grid[i, j] - 4)\n", " if i != 0:\n", " new_grid[i - 1, j] += 1\n", " if i != n - 1:\n", " new_grid[i + 1, j] += 1\n", " if j != 0:\n", " new_grid[i, j - 1] += 1\n", " if j != n - 1:\n", " new_grid[i, j + 1] += 1\n", " else:\n", " new_grid[i, j] += old_grid[i, j]\n", " return new_grid" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This being written, let's visualize one iteration on a given figure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# simulation\n", "n = 15\n", "grid = generate_grid(n)\n", "new_grid = iterate_timestep(grid)\n", "\n", "# plotting\n", "fig = plt.figure(figsize=(10, 4))\n", "ax = fig.add_subplot(121, projection='3d')\n", "plot_grid(grid, ax)\n", "ax = fig.add_subplot(122, projection='3d')\n", "plot_grid(new_grid, ax)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "C:\\Python27\\lib\\site-packages\\mpl_toolkits\\mplot3d\\axes3d.py:1673: RuntimeWarning: invalid value encountered in divide\n", " for n in normals])\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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X6yKVStmVVE866VS23noburo2Yfr03Tj77LN55plnau7TT7SsRsVx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\n/PG8973v5aijjmIl9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2ePtf8aeMADBMATdToaaHGSvNipNDoTL7BTdcEMMEqz2eC1r30t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\nHsTd3Z3u3bvTrl07JwNyUYEwDsbGxmYxDnp7e5OWlobNZkOSJEeZpVjd5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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's again apply the algorithm to see the outcome of this." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# simulation\n", "old_grid = new_grid\n", "new_grid = iterate_timestep(old_grid)\n", "\n", "# plotting\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "plot_grid(new_grid, ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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u0wyMONI1l8yNkC7YlcVqqV3grBpWDfom1vTSSmTrPEYtyOfzJBIJgFLN32Ys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\nS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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can make an animation with this code and display it as an HTML video. First, let's use the boilerplate code given by Jake Vanderplas on his blog." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from tempfile import NamedTemporaryFile\n", "\n", "VIDEO_TAG = \"\"\"\"\"\"\n", "\n", "def anim_to_html(anim):\n", " if not hasattr(anim, '_encoded_video'):\n", " f = NamedTemporaryFile(suffix='.mp4', delete=False)\n", " anim.save(f.name, fps=4, writer='ffmpeg', extra_args=['-vcodec', 'libx264', '-pix_fmt', 'yuv420p'])\n", " video = open(f.name, \"rb\").read()\n", " f.close()\n", " anim._encoded_video = video.encode(\"base64\")\n", " \n", " return VIDEO_TAG.format(anim._encoded_video)\n", "\n", "from IPython.display import HTML\n", "\n", "def display_animation(anim):\n", " close(anim._fig)\n", " return HTML(anim_to_html(anim))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import animation\n", "\n", "# First set up the figure, the axis, and the plot element we want to animate\n", "fig = figure(figsize=(10, 10))\n", "ax = fig.add_subplot(111, projection='3d')\n", "grid = generate_grid(10)\n", "maxi = grid.max()\n", "\n", "# animation function. This is called sequentially\n", "def animate(i):\n", " global grid\n", " grid = iterate_timestep(grid)\n", " ax.cla()\n", " plot_grid(grid, ax)\n", " ax.set_zlim(0, maxi)\n", " \n", "# call the animator. \n", "anim = animation.FuncAnimation(fig, \n", " animate, \n", " frames=50)\n", "\n", "# call our new function to display the animation\n", "display_animation(anim)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] } ], "prompt_number": 11 } ], "metadata": {} } ] }