{ "metadata": { "name": "", "signature": "sha256:a89f6615cccb12190363c2d14afaf63f3f23df474ae5a26ad712f440ac4ce1c1" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Sebastian Raschka](http://sebastianraschka.com) \n", "last updated: 06/02/2014\n", "\n", "- [Open in IPython nbviewer](http://nbviewer.ipython.org/github/rasbt/One-Python-benchmark-per-day/blob/master/ipython_nbs/day5_flattening_lists.ipynb?create=1) \n", "- [Link to this IPython notebook on Github](https://github.com/rasbt/One-Python-benchmark-per-day/blob/master/ipython_nbs/day5_flattening_lists.ipynb) \n", "- [Link to the GitHub Repository One-Python-benchmark-per-day](https://github.com/rasbt/One-Python-benchmark-per-day)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\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 5 - One Python Benchmark per Day" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing 9 ways of flattening a list of sublists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "**[-> skip to the results](#Results)**\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "Here, we are only looking of ways to flatten 2D-lists, i.e., lists of sublists. Flattening of lists with more than 2 dimensions will be tested separately. \n", "The desired behavior of the different approaches shall be:\n", "\n", "
\n",
      "[[1],[2,3,4],[5],[6]]    ->   [1, 2, 3, 4, 5, 6]  \n",
      "[[1],[2,[3],4],[5],[6]]  ->   [1, 2, [3], 4, 5, 6]  \n",
      "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Code implementations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classic approaches" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def append_in_for_loop(list_2d):\n", " flattened = []\n", " for sublist in list_2d:\n", " for item in sublist:\n", " flattened.append(item)\n", " return flattened" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "def extend_in_for_loop(list_2d):\n", " flattened = []\n", " for sublist in list_2d:\n", " flattened.extend(sublist)\n", " return flattened" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "def list_comprehension(list_2d):\n", " return [item for sublist in list_2d for item in sublist]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "def flatten_via_sum(list_2d):\n", " return sum(list_2d, [])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `itertools` approaches" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import itertools" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "def itertools_chain_from_iterable(list_2d):\n", " return list(itertools.chain.from_iterable(list_2d))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "def itertools_chain(list_2d):\n", " return list(itertools.chain(*list_2d))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `functools` approaches" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import functools\n", "import operator" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "def functools_reduce_lambda(list_2d):\n", " return functools.reduce(lambda x,y: x+y, list_2d)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "def functools_reduce_operator(list_2d):\n", " return functools.reduce(operator.add, map(list, list_2d))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "def functools_reduce_list_add(list_2d):\n", " return functools.reduce(list.__add__, (list(sub) for sub in list_2d))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assertion tests" ] }, { "cell_type": "code", "collapsed": false, "input": [ "funcs = [\n", " append_in_for_loop, list_comprehension, flatten_via_sum, \n", " itertools_chain_from_iterable, itertools_chain, \n", " functools_reduce_lambda, extend_in_for_loop,\n", " functools_reduce_operator, functools_reduce_list_add\n", " ]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "for f in funcs:\n", " assert (f([[1],[2,3,4],[5],[6]]) == [1, 2, 3, 4, 5, 6]),\\\n", " '%s failed test 1'% f.__name__\n", " assert (f([[1],[2,[3],4],[5],[6]]) == [1, 2, [3], 4, 5, 6]),\\\n", " '%s failed test 2'% f.__name__\n", "print('ok')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "ok\n" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Timing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import timeit\n", "import random\n", "import copy\n", "import numpy as np\n", "random.seed(12345)\n", "\n", "def make_copy(l):\n", " return copy.deepcopy(l)\n", "\n", "func_names = [f.__name__ for f in funcs]\n", "\n", "orders_n = [10**n for n in range(1, 5)]\n", "timings = {f:[] for f in func_names}\n", "\n", "for n in orders_n:\n", " l = [[i for i in range(random.randint(1,10))] for j in range(n)]\n", " for f in func_names:\n", " timings[f].append(min(timeit.Timer('%s(make_copy(l))' %f, \n", " 'from __main__ import %s, l, make_copy' %f)\n", " .repeat(repeat=3, number=10)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "import platform\n", "import multiprocessing\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('CPU count :', multiprocessing.cpu_count())\n", " print('interpreter:', platform.architecture()[0])\n", " print('\\n\\n')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", "\n", "def plot():\n", " labels_fast = {'append_in_for_loop':'.append() in for-loop',\n", " 'extend_in_for_loop':'.extend() in for-loop', \n", " 'list_comprehension': 'List comprehension', \n", " 'itertools_chain_from_iterable': 'list(itertools.chain.from_iterable(list_2d))',\n", " 'itertools_chain': 'list(itertools.chain(*list_2d))',\n", " }\n", " labels_slow = {'functools_reduce_lambda': 'functools.reduce(lambda x,y: x+y, list_2d)',\n", " 'functools_reduce_operator': 'functools.reduce(operator.add, map(list, list_2d))',\n", " 'flatten_via_sum': 'sum(list_2d, [])',\n", " 'functools_reduce_list_add': 'functools.reduce(list.__add__, (list(sub) for sub in list_2d))'\n", " }\n", " plt.rcParams.update({'font.size': 9})\n", " fig = plt.figure(figsize=(10,8))\n", " plt.title('Performance of different methods for flattening a list of sublists', fontsize=18)\n", "\n", " reds = ['#F87217', '#F75D59', '#FF0000', '#C24641']\n", " for lb,col in zip(sorted(labels_slow.keys()), reds):\n", " plt.plot(orders_n, [t**2 for t in timings[lb]], alpha=0.3, label=labels_slow[lb], \n", " marker='o', lw=2, c=col, markersize=8)\n", " \n", " blues = ['#000080', '#2B60DE', '#736AFF', '#659EC7', '#46C7C7']\n", " for lb,col in zip(sorted(labels_fast.keys()), blues):\n", " plt.plot(orders_n, [t**2 for t in timings[lb]], alpha=0.3, label=labels_fast[lb], \n", " marker='^', lw=2, c=col, markersize=10)\n", " max_perf = max( s/c for s,c in zip(timings['flatten_via_sum'],\n", " timings['list_comprehension']) )\n", " ftext = 'A list comprehension \\n >>[item for sublist '\\\n", " 'in list_2d for item in sublist]\\n'\\\n", " 'is {:.2f}x faster for flattening a 2D list than \\n >>sum(list_2d, [])\\nat n = 10000'\\\n", " .format(max_perf)\n", " plt.figtext(.4,.15, ftext, fontsize=13, ha='left') \n", " \n", " plt.legend(loc='upper left')\n", " plt.grid()\n", " plt.ylabel('Time per computation for 10 loops (in seconds)', fontsize=12)\n", " plt.xlabel('Number of sublists', fontsize=12)\n", " plt.xscale('log')\n", " plt.yscale('log')\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print_sysinfo()\n", "plot()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Python version : 3.4.0\n", "compiler : GCC 4.2.1 (Apple Inc. build 5577)\n", "\n", "system : Darwin\n", "release : 13.2.0\n", "machine : x86_64\n", "processor : i386\n", "CPU count : 4\n", "interpreter: 64bit\n", "\n", "\n", "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vwKujo6N0Ad6QkBB2Ad5OnTqRLVu2yLRjZmYmWbBgAeHz+cTQ0JBoaWmRTp06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\nv34911xzzZCX/Ze//IX77ruPXbt2DXnZQojhd9zALRgM8u1vf/u4Jxgpg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HUKh8P9+vdz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\n2Njg8OHDSh0HACYmJnK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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The line plot above indicates that we have 2 different classes of list flattening methods: the first tier is taking linear time (blue shades), where the four other approaches (in shades of red) which have quadratic growth rates and therefore are significantly slower.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Of course, the `sum(list_2d, [])` has a very short syntax and might be just convenient to use it for list flattening, but the reason why it is so slow is that it will create a new \"intermediate\" list for every element (Note that all operations in that are shown in red shades in the plot above follow this same principle). \n", "I would like to suggest to you the nice article [\"How Not to Flatten a List of Lists in Python\"](http://mathieularose.com/how-not-to-flatten-a-list-of-lists-in-python/) by Mathieu Larose, who described this mechanism very nicely." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bonus - Which of the methods is actually the fastest?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the line plot above, it is actually really hard to tell which of the methods with linear growth rate $O(n)$ (blue shades) is the fastest. \n", "Let us plot timings for $n=10^6$ for the fastest methods only." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import timeit\n", "import random\n", "import copy\n", "import numpy as np\n", "random.seed(12345)\n", "\n", "def make_copy(l):\n", " return copy.deepcopy(l)\n", "\n", "labels_fast = {\n", " 'append_in_for_loop':'.append() in for-loop',\n", " 'extend_in_for_loop':'.extend() in for-loop', \n", " 'list_comprehension': 'List comprehension', \n", " 'itertools_chain_from_iterable': 'list(itertools.chain.from_iterable(list_2d))',\n", " 'itertools_chain': 'list(itertools.chain(*list_2d))',\n", " }\n", "\n", "fast_names = [f for f in labels_fast.keys()]\n", "fast_times = []\n", "\n", "l = [[i for i in range(random.randint(1,10))] for j in range(10**5)]\n", "for f in fast_names:\n", " fast_times.append(min(timeit.Timer('%s(make_copy(l))' %f, \n", " 'from __main__ import %s, l, make_copy' %f)\n", " .repeat(repeat=3, number=10)))" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.rcParams.update({'font.size': 12})\n", "\n", "fast_labels = [labels_fast[l] for l in fast_names]\n", "x_pos = np.arange(len(fast_labels))\n", "\n", "plt.figure(figsize=(8,7))\n", "plt.bar(x_pos, fast_times, align='center', alpha=0.5)\n", "plt.xticks(x_pos, fast_labels, rotation=90)\n", "plt.axhline(y=min(fast_times), linestyle='--', color='black')\n", "plt.ylabel('Time per computation for 10 loops in seconds for n=10000')\n", "plt.title('List flattening methods with linear growth rates')\n", "plt.ylim(8,9)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MU1NTAA8PTLt16xaWLFmCnj17ag5KjYiIQHh4OJ5//nnNcyvj/YiNjUVaWho+/vhjeHh4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\njyPy8/MRFhYGf39/wcl0mIoU5dixYyorKyvVK6+8ourSpYtKpVKpjh4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