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June 16, 2016 23:17
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Optimizing with Cython Introduction\n", | |
| "-------------------------------------" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Make a large set of random integers" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "from array import array\n", | |
| "from random import randint\n", | |
| "a = array('i', (randint(-1000, 1000) for _ in xrange(10000000)))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Simple way to sum with a `for` loop" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "def sum_py(a):\n", | |
| " s = 0\n", | |
| " for x in a: s += x\n", | |
| " return s" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Time the baseline simple sum methods" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "1 loops, best of 3: 373 ms per loop\n", | |
| "10 loops, best of 3: 100 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum_py(a)\n", | |
| "%timeit sum(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "source": [ | |
| "**Compile with Cython**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# needs to be run once every time the kernel is started\n", | |
| "%load_ext cython" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "%%cython\n", | |
| "def sum_cy(a):\n", | |
| " s = 0\n", | |
| " for x in a: s += x\n", | |
| " return s" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "10 loops, best of 3: 100 ms per loop\n", | |
| "1 loops, best of 3: 233 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum(a)\n", | |
| "%timeit sum_cy(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "**Static Typing**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "%%cython\n", | |
| "def sum_cy_st(a):\n", | |
| " cdef int x, s = 0\n", | |
| " for x in a: s += x\n", | |
| " return s" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "10 loops, best of 3: 101 ms per loop\n", | |
| "10 loops, best of 3: 104 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum(a)\n", | |
| "%timeit sum_cy_st(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "**Colorized Annotations**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
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| "from cpython cimport array\n", | |
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| "<div class=\"cython\"><pre class=\"cython line score-11\" onclick='toggleDiv(this)'>+<span class=\"\">1</span>: <span class=\"k\">from</span> <span class=\"nn\">cpython</span> <span class=\"k\">cimport</span> <span class=\"n\">array</span></pre>\n", | |
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| } | |
| ], | |
| "source": [ | |
| "%%cython --annotate\n", | |
| "from cpython cimport array\n", | |
| "def sum_cy_tm(int[:] a):\n", | |
| " cdef int i, n = a.shape[0], s = 0\n", | |
| " for i in range(n):\n", | |
| " s += a[i]\n", | |
| " return s" | |
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| { | |
| "name": "stdout", | |
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| "text": [ | |
| "10 loops, best of 3: 101 ms per loop\n", | |
| "100 loops, best of 3: 9.8 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum(a)\n", | |
| "%timeit sum_cy_tm(a)" | |
| ] | |
| }, | |
| { | |
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| "**Compile Optimizations**" | |
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| "cell_type": "code", | |
| "execution_count": 14, | |
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| "cimport cython\n", | |
| "from cpython cimport array\n", | |
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| " s += a[i]\n", | |
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| "10 loops, best of 3: 102 ms per loop\n", | |
| "100 loops, best of 3: 3.57 ms per loop\n" | |
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| } | |
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| "%timeit sum(a)\n", | |
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| "**Memoryview Layout**" | |
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| "<pre class=\"cython line score-0\"> <span class=\"\">03</span>: </pre>\n", | |
| "<pre class=\"cython line score-0\"> <span class=\"\">04</span>: <span class=\"nd\">@cython</span><span class=\"o\">.</span><span class=\"n\">boundscheck</span><span class=\"p\">(</span><span class=\"bp\">False</span><span class=\"p\">)</span></pre>\n", | |
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| "static PyObject *__pyx_pw_46_cython_magic_62346fc64126443b161f7a626d2f29c4_1sum_cy_cc(PyObject *__pyx_self, PyObject *__pyx_arg_a) {\n", | |
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| " int __pyx_lineno = 0;\n", | |
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| " __pyx_r = NULL;\n", | |
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| " <span class='pyx_macro_api'>__Pyx_DECREF</span>(__pyx_t_1); __pyx_t_1 = 0;\n", | |
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| "</pre><pre class=\"cython line score-0\" onclick='toggleDiv(this)'>+<span class=\"\">07</span>: <span class=\"k\">cdef</span> <span class=\"kt\">int</span> <span class=\"nf\">i</span><span class=\"p\">,</span> <span class=\"nf\">n</span> <span class=\"o\">=</span> <span class=\"n\">a</span><span class=\"o\">.</span><span class=\"n\">shape</span><span class=\"p\">[</span><span class=\"mf\">0</span><span class=\"p\">],</span> <span class=\"n\">s</span> <span class=\"o\">=</span> <span class=\"mf\">0</span></pre>\n", | |
| "<pre class='cython code score-0 '> __pyx_v_n = (__pyx_v_a.shape[0]);\n", | |
| " __pyx_v_s = 0;\n", | |
| "</pre><pre class=\"cython line score-0\" onclick='toggleDiv(this)'>+<span class=\"\">08</span>: <span class=\"k\">for</span> <span class=\"n\">i</span> <span class=\"ow\">in</span> <span class=\"nb\">range</span><span class=\"p\">(</span><span class=\"n\">n</span><span class=\"p\">):</span></pre>\n", | |
| "<pre class='cython code score-0 '> __pyx_t_1 = __pyx_v_n;\n", | |
| " for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {\n", | |
| " __pyx_v_i = __pyx_t_2;\n", | |
| "</pre><pre class=\"cython line score-0\" onclick='toggleDiv(this)'>+<span class=\"\">09</span>: <span class=\"n\">s</span> <span class=\"o\">+=</span> <span class=\"n\">a</span><span class=\"p\">[</span><span class=\"n\">i</span><span class=\"p\">]</span></pre>\n", | |
| "<pre class='cython code score-0 '> __pyx_t_3 = __pyx_v_i;\n", | |
| " __pyx_v_s = (__pyx_v_s + (*((int *) ( /* dim=0 */ ((char *) (((int *) __pyx_v_a.data) + __pyx_t_3)) ))));\n", | |
| " }\n", | |
| "</pre><pre class=\"cython line score-3\" onclick='toggleDiv(this)'>+<span class=\"\">10</span>: <span class=\"k\">return</span> <span class=\"n\">s</span></pre>\n", | |
| "<pre class='cython code score-3 '> <span class='pyx_macro_api'>__Pyx_XDECREF</span>(__pyx_r);\n", | |
| " __pyx_t_4 = <span class='pyx_c_api'>__Pyx_PyInt_From_int</span>(__pyx_v_s);<span class='error_goto'> if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 10; __pyx_clineno = __LINE__; goto __pyx_L1_error;}</span>\n", | |
| " <span class='refnanny'>__Pyx_GOTREF</span>(__pyx_t_4);\n", | |
| " __pyx_r = __pyx_t_4;\n", | |
| " __pyx_t_4 = 0;\n", | |
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| "cimport cython\n", | |
| "from cpython cimport array\n", | |
| "\n", | |
| "@cython.boundscheck(False)\n", | |
| "@cython.wraparound(False)\n", | |
| "def sum_cy_cc(int[::1] a):\n", | |
| " cdef int i, n = a.shape[0], s = 0\n", | |
| " for i in range(n):\n", | |
| " s += a[i]\n", | |
| " return s" | |
| ] | |
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| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": { | |
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| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "10 loops, best of 3: 101 ms per loop\n", | |
| "100 loops, best of 3: 3.55 ms per loop\n" | |
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| "%timeit sum(a)\n", | |
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| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "**Multithreading**" | |
| ] | |
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| { | |
| "cell_type": "code", | |
| "execution_count": 18, | |
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| "collapsed": false | |
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| "source": [ | |
| "%%cython\n", | |
| "cimport cython\n", | |
| "from cpython cimport array\n", | |
| "\n", | |
| "@cython.boundscheck(False)\n", | |
| "@cython.wraparound(False)\n", | |
| "def __sum_gil(int[::1] a, int[:] out):\n", | |
| " cdef int i, n = a.shape[0], s = 0\n", | |
| " for i in range(n): s += a[i]\n", | |
| " out[0] = s\n", | |
| " \n", | |
| "def sum_par(int[::1] a):\n", | |
| " cdef int[::1] A1 = a[0 : a.shape[0]//2]\n", | |
| " cdef int[::1] A2 = a[a.shape[0]//2 : a.shape[0]]\n", | |
| " cdef int[:] out = array.array('i', (0,0))\n", | |
| " from threading import Thread\n", | |
| " T1 = Thread(target=__sum_gil, args=(A1, out[0:1]))\n", | |
| " T2 = Thread(target=__sum_gil, args=(A2, out[1:2]))\n", | |
| " T1.start(); T2.start()\n", | |
| " T1.join(); T2.join()\n", | |
| " return out[0] + out[1]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 19, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "10 loops, best of 3: 101 ms per loop\n", | |
| "100 loops, best of 3: 4.44 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum(a)\n", | |
| "%timeit sum_par(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "With release of the GIL " | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 20, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "%%cython\n", | |
| "cimport cython\n", | |
| "from cpython cimport array\n", | |
| "\n", | |
| "@cython.boundscheck(False)\n", | |
| "@cython.wraparound(False)\n", | |
| "def __sum_gil(int[::1] a, int[:] out):\n", | |
| " cdef int i, n = a.shape[0], s = 0\n", | |
| " with nogil:\n", | |
| " for i in range(n): s += a[i]\n", | |
| " out[0] = s\n", | |
| " \n", | |
| "def sum_par(int[::1] a):\n", | |
| " cdef int[::1] A1 = a[0 : a.shape[0]//2]\n", | |
| " cdef int[::1] A2 = a[a.shape[0]//2 : a.shape[0]]\n", | |
| " cdef int[:] out = array.array('i', (0,0))\n", | |
| " from threading import Thread\n", | |
| " T1 = Thread(target=__sum_gil, args=(A1, out[0:1]))\n", | |
| " T2 = Thread(target=__sum_gil, args=(A2, out[1:2]))\n", | |
| " T1.start(); T2.start()\n", | |
| " T1.join(); T2.join()\n", | |
| " return out[0] + out[1]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 21, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "10 loops, best of 3: 101 ms per loop\n", | |
| "100 loops, best of 3: 2.47 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum(a)\n", | |
| "%timeit sum_par(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "source": [ | |
| "**Interfacing with C Code**\n", | |
| "\n", | |
| "Need sum.h with `int sum_c(int* a, int n);` and sum.c with the following:\n", | |
| " #include \"sum.h\"\n", | |
| " int sum_c(int* a, int n) {\n", | |
| " int i, s = 0;\n", | |
| " for (i = 0; i < n; ++i) { s += a[i]; }\n", | |
| " return s;\n", | |
| " }\n", | |
| " \n", | |
| "Also, the following needs to be updated where `-I` is the path to where the above is saved." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 22, | |
| "metadata": { | |
| "collapsed": false, | |
| "scrolled": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "%%cython -I C:/Python27/notebooks\n", | |
| "#distutils: sources=sum.c\n", | |
| "\n", | |
| "cimport cython\n", | |
| "from cpython cimport array\n", | |
| "\n", | |
| "cdef extern from \"sum.h\" nogil:\n", | |
| " cdef int sum_c(int* a, int n)\n", | |
| " \n", | |
| "@cython.boundscheck(False)\n", | |
| "@cython.wraparound(False)\n", | |
| "def sum_cy_c(int[::1] a):\n", | |
| " cdef int out\n", | |
| " with nogil: out = sum_c(&a[0], a.shape[0])\n", | |
| " return out" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 23, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "100 loops, best of 3: 3.54 ms per loop\n", | |
| "100 loops, best of 3: 3.56 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "%timeit sum_cy_cc(a)\n", | |
| "%timeit sum_cy_c(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "collapsed": true | |
| }, | |
| "source": [ | |
| "**Numpy Equivilent**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 24, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "1 loops, best of 3: 859 ms per loop\n", | |
| "100 loops, best of 3: 4.34 ms per loop\n", | |
| "100 loops, best of 3: 3.53 ms per loop\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "import numpy as np\n", | |
| "#np_a = np.random.randint(-1000, 1000, size=10000000)\n", | |
| "np_a = np.array(a)\n", | |
| "%timeit sum(np_a)\n", | |
| "%timeit np_a.sum()\n", | |
| "%timeit sum_cy_cc(a)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "**Check they all sum properly**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 25, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "(2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693,\n", | |
| " 2140693)" | |
| ] | |
| }, | |
| "execution_count": 25, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "(sum_py(a), sum_cy(a), sum(a), sum_cy_st(a), sum_cy_tm(a), sum_cy_co(a),\n", | |
| " sum_cy_cc(a), sum_par(a), sum_cy_c(a), np_a.sum())" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": { | |
| "collapsed": false | |
| }, | |
| "outputs": [], | |
| "source": [] | |
| } | |
| ], | |
| "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 | |
| } |
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| #include "sum.h" | |
| int sum_c(int* a, int n) | |
| { | |
| int i, s = 0; | |
| for (i = 0; i < n; ++i) { s += a[i]; } | |
| return s; | |
| } |
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| int sum_c(int* a, int n); |
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