{ "metadata": { "name": "", "signature": "sha256:f4569e82180c8086cbd5803e7260aaa602cf9c3f3b11c74a544b94e06862342b" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Sebastian Raschka](http://sebastianraschka.com) \n", "last updated: 05/07/2014\n", "\n", "- [Open in IPython nbviewer](http://nbviewer.ipython.org/github/rasbt/One-Python-benchmark-per-day/blob/master/ipython_nbs/day1_string_reverse.ipynb?create=1) \n", "- [Link to this IPython notebook on Github](https://github.com/rasbt/One-Python-benchmark-per-day/blob/master/ipython_nbs/day1_string_reverse.ipynb) \n", "- [Link to the GitHub Repository One-Python-benchmark-per-day](https://github.com/rasbt/One-Python-benchmark-per-day)\n", "\n", "
\n", "
\n", "I would be happy to hear your comments and suggestions. \n", "Please feel free to drop me a note via\n", "[twitter](https://twitter.com/rasbt), [email](mailto:bluewoodtree@gmail.com), or [google+](https://plus.google.com/118404394130788869227).\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Day 1 - One Python Benchmark per Day" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### String reversing: `[::-1]` vs. `''.join(reversed())`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "**-> [skip to the results](#Results)**\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "String-reverse functions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def reverse_join(my_str):\n", " return ''.join(reversed(my_str))\n", " \n", "def reverse_slizing(my_str):\n", " return my_str[::-1]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Verifying that both functions work" ] }, { "cell_type": "code", "collapsed": false, "input": [ "test_str = 'abcdefg'\n", "\n", "a = reverse_join(test_str)\n", "b = reverse_slizing(test_str)\n", "assert(a == b and a == 'gfedcba')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Timing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import timeit\n", "\n", "funcs = ['reverse_join', 'reverse_slizing']\n", "\n", "orders_n = [10**n for n in range(1, 7)]\n", "test_strings = (test_str*n for n in orders_n)\n", "times_n = {f:[] for f in funcs}\n", "\n", "for st,n in zip(test_strings, orders_n):\n", " for f in funcs:\n", " times_n[f].append(min(timeit.Timer('%s(st)' %f, \n", " 'from __main__ import %s, st' %f)\n", " .repeat(repeat=3, number=1000)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Setting up the plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import platform\n", "import multiprocessing\n", "\n", "\n", "def print_sysinfo():\n", " \n", " print('\\nPython version:', platform.python_version())\n", " print('compiler:', platform.python_compiler())\n", " \n", " print('\\nsystem :', platform.system())\n", " print('release :', platform.release())\n", " print('machine :', platform.machine())\n", " print('processor :', platform.processor())\n", " print('interpreter:', platform.architecture()[0])\n", " print('CPU count :', multiprocessing.cpu_count())\n", " print('\\n\\n')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "\n", "def plot_timing(funcs):\n", " \n", " labels = [('reverse_join', '\"\".join(reversed(my_str))'), \n", " ('reverse_slizing', 'my_str[::-1]')] \n", "\n", " plt.rcParams.update({'font.size': 12})\n", "\n", " fig = plt.figure(figsize=(10,8))\n", " for lb in labels:\n", " plt.plot([len(test_str)*n for n in orders_n], \n", " times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n", " plt.xlabel('sample size n')\n", " plt.ylabel('time per computation in milliseconds [ms]')\n", " plt.legend(loc=2)\n", " plt.grid()\n", " plt.xscale('log')\n", " plt.yscale('log')\n", " plt.title('Performance of different string reversing methods')\n", " max_perf = max( j/s for j,s in zip(times_n['reverse_join'],\n", " times_n['reverse_slizing']) )\n", " min_perf = min( j/s for j,s in zip(times_n['reverse_join'],\n", " times_n['reverse_slizing']) )\n", " ftext = 'my_str[::-1] is {:.2f}x to {:.2f}x faster than \"\".join(reversed(my_str))'\\\n", " .format(min_perf, max_perf)\n", " plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print_sysinfo()\n", "plot_timing(funcs)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Python version: 3.4.1\n", "compiler: GCC 4.2.1 (Apple Inc. build 5577)\n", "\n", "system : Darwin\n", "release : 13.1.0\n", "machine : x86_64\n", "processor : i386\n", "interpreter: 64bit\n", "CPU count : 2\n", "\n", "\n", "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAIECAYAAACUvmMzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 13 } ], "metadata": {} } ] }