{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "DistArray Julia Set\n", "===================\n", "\n", "The Julia set, for a given complex number $c$, is the set of points $z$\n", "such that $|z_{i}|$ remains bounded where $z_{i+1} = z_{i}^2 + c$.\n", "\n", "This can be plotted by counting how many iterations are required for $|z_{i}|$ to exceed a cutoff.\n", "\n", "Depending on the value of $c$, the Julia set may be connected and contain\n", "a lot of points, or it could be disconnected and contain fewer points.\n", "The points in the set will require the maximum iteration count, so\n", "the connected sets will usually take longer to compute." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, some imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from __future__ import print_function\n", "\n", "import numpy\n", "import matplotlib.pyplot as plt\n", "\n", "# DistArray imports\n", "from distarray.globalapi import Context, Distribution\n", "from distarray.globalapi.distarray import DistArray\n", "\n", "# inline plots\n", "%matplotlib inline\n", "\n", "# bigger figures\n", "plt.rcParams.update({'figure.figsize': (10, 10)})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Julia set kernels\n", "-----------------\n", "To avoid round-trips between the client and engines, our strategy will be to push a function to each engine to compute that engine's local section of the Julia set. Here we have two options for this \"kernel\": a version that avoids NumPy fancy indexing, and one that uses it." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def numpy_julia_calc(z, c, z_max, n_max):\n", " \"\"\"Calculate the Julia set using NumPy.\n", "\n", " Parameters\n", " ----------\n", " z : NumPy array\n", " array of complex values whose iterations we will count.\n", " c : complex\n", " Complex number to add at each iteration.\n", " z_max : float\n", " Magnitude of complex value that we assume goes to infinity.\n", " n_max : int\n", " Maximum number of iterations.\n", " \"\"\"\n", " z = numpy.asarray(z)\n", " counts = numpy.zeros_like(z, dtype=numpy.int32)\n", " hits = numpy.zeros_like(z, dtype=numpy.bool)\n", " mask = numpy.zeros_like(z, dtype=numpy.bool)\n", " n = 0\n", "\n", " while not numpy.all(hits) and n < n_max:\n", " z = z * z + c\n", " mask = (abs(z) > z_max) & (~hits)\n", " counts[mask] = n\n", " hits |= mask\n", " z[hits] = 0\n", " n += 1\n", " counts[~hits] = n_max\n", " return counts\n", "\n", "\n", "def fancy_numpy_julia_calc(z, c, z_max, n_max):\n", " \"\"\"Calculate the Julia set using NumPy fancy indexing.\n", "\n", " Parameters\n", " ----------\n", " z : NumPy array\n", " array of complex values whose iterations we will count.\n", " c : complex\n", " Complex number to add at each iteration.\n", " z_max : float\n", " Magnitude of complex value that we assume goes to infinity.\n", " n_max : int\n", " Maximum number of iterations.\n", " \"\"\"\n", " z = numpy.asarray(z)\n", " counts = numpy.zeros_like(z, dtype=numpy.int32)\n", " hits = numpy.zeros_like(z, dtype=numpy.bool)\n", " mask = numpy.zeros_like(z, dtype=numpy.bool)\n", " n = 0\n", "\n", " while not numpy.all(hits) and n < n_max:\n", " z[~hits] = z[~hits] * z[~hits] + c\n", " mask = (abs(z) > z_max) & (~hits)\n", " counts[mask] = n\n", " hits |= mask\n", " n += 1\n", " counts[~hits] = n_max\n", " return counts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Coordinating functions\n", "----------------------\n", "Here we have functions that create a DistArray representing the complex plane and functions that coordinate applying the kernel on each distributed section of the DistArray." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def create_complex_plane(context, resolution, dist, re_ax, im_ax):\n", " \"\"\"Create a DistArray containing points on the complex plane.\n", "\n", " Parameters\n", " ----------\n", " context : DistArray Context\n", " resolution : 2-tuple\n", " The number of points along Re and Im axes.\n", " dist : 2-element sequence or dict\n", " dist_type for of the DistArray Distribution.\n", " re_ax : 2-tuple\n", " The (lower, upper) range of the Real axis.\n", " im_ax : 2-tuple\n", " The (lower, upper) range of the Imaginary axis.\n", " \"\"\"\n", "\n", " import numpy as np\n", "\n", " def fill_complex_plane(arr, re_ax, im_ax, resolution):\n", " \"\"\"Fill in points on the complex coordinate plane.\"\"\"\n", " re_step = float(re_ax[1] - re_ax[0]) / resolution[0]\n", " im_step = float(im_ax[1] - im_ax[0]) / resolution[1]\n", " for i in arr.distribution[0].global_iter:\n", " for j in arr.distribution[1].global_iter:\n", " arr.global_index[i, j] = complex(re_ax[0] + re_step * i,\n", " im_ax[0] + im_step * j)\n", "\n", " # Create an empty distributed array.\n", " distribution = Distribution(context, (resolution[0], resolution[1]),\n", " dist=dist)\n", " complex_plane = context.empty(distribution, dtype=np.complex64)\n", " context.apply(fill_complex_plane,\n", " (complex_plane.key, re_ax, im_ax, resolution))\n", " return complex_plane" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def local_julia_calc(la, c, z_max, n_max, kernel):\n", " \"\"\"Calculate the number of iterations for the point to escape.\n", "\n", " Parameters\n", " ----------\n", " la : LocalArray\n", " LocalArray of complex values whose iterations we will count.\n", " c : complex\n", " Complex number to add at each iteration.\n", " z_max : float\n", " Magnitude of complex value that we assume goes to infinity.\n", " n_max : int\n", " Maximum number of iterations.\n", " kernel : function\n", " Kernel to use for computation of the Julia set. Options are 'fancy',\n", " 'numpy', or 'cython'.\n", " \"\"\"\n", " from distarray.localapi import LocalArray\n", " counts = kernel(la, c, z_max, n_max)\n", " res = LocalArray(la.distribution, buf=counts)\n", " return proxyize(res) # noqa\n", "\n", "\n", "def distributed_julia_calc(distarray, c, z_max, n_max,\n", " kernel=fancy_numpy_julia_calc):\n", " \"\"\"Calculate the Julia set for an array of points in the complex plane.\n", "\n", " Parameters\n", " ----------\n", " distarray : DistArray\n", " DistArray of complex values whose iterations we will count.\n", " c : complex\n", " Complex number to add at each iteration.\n", " z_max : float\n", " Magnitude of complex value that we assume goes to infinity.\n", " n_max : int\n", " Maximum number of iterations.\n", " kernel: function\n", " Kernel to use for computation of the Julia set. Options are 'fancy',\n", " 'numpy', or 'cython'.\n", " \"\"\"\n", " context = distarray.context\n", " iters_key = context.apply(local_julia_calc,\n", " (distarray.key, c, z_max, n_max),\n", " {'kernel': kernel})\n", " iters_da = DistArray.from_localarrays(iters_key[0], context=context,\n", " dtype=numpy.int32)\n", " return iters_da" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using DistArray to explore the Julia set\n", "----------------------------------------" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "context = Context() # handles communicating with the engines" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JZ1stpoG/XO7BYrqmhSSdkMp10WJFURRFUZQRj1qkhohyskgVkyWmUNe1GM7RtxwU2hpQ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\nkMq0ZWALUQbth6Bdb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Zp7dEqgeiQCcReseiu43oXA5FuBAW2SdPdCYI4iMUSOYxrAXwAY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\n7BFppEKiJ2mkshGk/EJUHFlgupqaz8NGP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HJ9nA9lT0tN3p4Op0+ADzd4M8IRJKzInJbr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\nI4uEVAVkUUyN9EVVSzGVHtSCmHoAWLcYK41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phWuqmY5nPZCQagASU7Wj1qv7klQTj1It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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create the complex plane\n", "resolution = (512, 512)\n", "dist = 'cc' # different distributions of the data among the engines\n", " # one character per dimension\n", " # 'c' stands for 'cyclic', 'b' for block\n", "re_ax = (-1.5, 1.5)\n", "im_ax = (-1.5, 1.5)\n", "complex_plane = create_complex_plane(context, resolution, dist, re_ax, im_ax)\n", "\n", "# calculate the Julia set\n", "z_max = 2.0\n", "n_max = 100\n", "c = complex(0.285, 0.01)\n", "iters_da = distributed_julia_calc(complex_plane, c, z_max, n_max, kernel=numpy_julia_calc)\n", "\n", "# plot it!\n", "plt.matshow(iters_da.toarray(), cmap='hot')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "context.close()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }