"
]
}
],
"prompt_number": 153
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dictionary comprehensions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def dict_loop(n):\n",
" a_dict = dict()\n",
" for i in range(n):\n",
" if i % 3 == 0:\n",
" a_dict[i] = i\n",
" return a_dict"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 146
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def dict_compr(n):\n",
" return {i:i for i in range(n) if i % 3 == 0}"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 147
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%timeit dict_loop(n)\n",
"%timeit dict_compr(n)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"10000 loops, best of 3: 159 \u00b5s per loop\n",
"10000 loops, best of 3: 151 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 148
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Copying files by searching directory trees"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Executing `Unix`/`Linux` shell commands:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import subprocess\n",
"\n",
"def subprocess_findcopy(path, search_str, dest): \n",
" query = 'find %s -name \"%s\" -exec cp {} %s \\;' %(path, search_str, dest)\n",
" subprocess.call(query, shell=True)\n",
" return "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 30
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using Python's `os.walk()` to search the directory tree recursively and matching patterns via `fnmatch.filter()`"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import shutil\n",
"import os\n",
"import fnmatch\n",
"\n",
"def walk_findcopy(path, search_str, dest):\n",
" for path, subdirs, files in os.walk(path):\n",
" for name in fnmatch.filter(files, search_str):\n",
" try:\n",
" shutil.copy(os.path.join(path,name), dest)\n",
" except NameError:\n",
" pass\n",
" return"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import timeit\n",
"\n",
"\n",
"def findcopy_timeit(inpath, outpath, search_str):\n",
" \n",
" shutil.rmtree(outpath)\n",
" os.mkdir(outpath)\n",
" print(50*'#')\n",
" print('subprocsess call')\n",
" %timeit subprocess_findcopy(inpath, search_str, outpath)\n",
" print(\"copied %s files\" %len(os.listdir(outpath)))\n",
" shutil.rmtree(outpath)\n",
" os.mkdir(outpath)\n",
" print('\\nos.walk approach')\n",
" %timeit walk_findcopy(inpath, search_str, outpath)\n",
" print(\"copied %s files\" %len(os.listdir(outpath)))\n",
" print(50*'#')\n",
"\n",
"print('small tree')\n",
"inpath = '/Users/sebastian/Desktop/testdir_in'\n",
"outpath = '/Users/sebastian/Desktop/testdir_out'\n",
"search_str = '*.png'\n",
"findcopy_timeit(inpath, outpath, search_str)\n",
"\n",
"print('larger tree')\n",
"inpath = '/Users/sebastian/Dropbox'\n",
"outpath = '/Users/sebastian/Desktop/testdir_out'\n",
"search_str = '*.csv'\n",
"findcopy_timeit(inpath, outpath, search_str)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"small tree\n",
"##################################################"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"subprocsess call\n",
"1 loops, best of 3: 268 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"copied 13 files\n",
"\n",
"os.walk approach\n",
"100 loops, best of 3: 12.2 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"copied 13 files\n",
"##################################################\n",
"larger tree\n",
"##################################################\n",
"subprocsess call\n",
"1 loops, best of 3: 623 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"copied 105 files\n",
"\n",
"os.walk approach\n",
"1 loops, best of 3: 417 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"copied 105 files\n",
"##################################################\n"
]
}
],
"prompt_number": 35
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I have to say that I am really positively surprised. The shell's `find` scales even better than expected!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Returning column vectors slicing through a numpy array"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Given a numpy matrix, I want to iterate through it and return each column as a 1-column vector. \n",
"E.g., if I want to return the 1st column from matrix A below\n",
"\n",
"\n",
"A = np.array([ [1,2,3], [4,5,6], [7,8,9] ])\n",
">>> A\n",
"array([[1, 2, 3],\n",
" [4, 5, 6],\n",
" [7, 8, 9]])
\n",
"\n",
"I want my result to be:\n",
"\n",
"array([[1],\n",
" [4],\n",
" [7]])
\n",
"\n",
"with `.shape` = `(3,1)`\n",
"\n",
"\n",
"However, the default behavior of numpy is to return the column as a row vector:\n",
"\n",
"\n",
">>> A[:,0]\n",
"array([1, 4, 7])\n",
">>> A[:,0].shape\n",
"(3,)\n",
"
"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"\n",
"# 1st column, e.g., A[:,0,np.newaxis]\n",
"\n",
"def colvec_method1(A):\n",
" for col in A.T:\n",
" colvec = row[:,np.newaxis]\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 83
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1st column, e.g., A[:,0:1]\n",
"\n",
"def colvec_method2(A):\n",
" for idx in range(A.shape[1]):\n",
" colvec = A[:,idx:idx+1]\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 82
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1st column, e.g., A[:,0].reshape(-1,1)\n",
"\n",
"def colvec_method3(A):\n",
" for idx in range(A.shape[1]):\n",
" colvec = A[:,idx].reshape(-1,1)\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 81
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1st column, e.g., np.vstack(A[:,0]\n",
"\n",
"def colvec_method4(A):\n",
" for idx in range(A.shape[1]):\n",
" colvec = np.vstack(A[:,idx])\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 79
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1st column, e.g., np.row_stack(A[:,0])\n",
"\n",
"def colvec_method5(A):\n",
" for idx in range(A.shape[1]):\n",
" colvec = np.row_stack(A[:,idx])\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 77
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1st column, e.g., np.column_stack((A[:,0],))\n",
"\n",
"def colvec_method6(A):\n",
" for idx in range(A.shape[1]):\n",
" colvec = np.column_stack((A[:,idx],))\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 74
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# 1st column, e.g., A[:,[0]]\n",
"\n",
"def colvec_method7(A):\n",
" for idx in range(A.shape[1]):\n",
" colvec = A[:,[idx]]\n",
" yield colvec"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 89
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def test_method(method, A):\n",
" for i in method(A): \n",
" assert i.shape == (A.shape[0],1), \"{}, {}\".format(i.shape, A.shape[0],1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 69
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import timeit\n",
"\n",
"A = np.random.random((300, 3))\n",
"\n",
"for method in [\n",
" colvec_method1, colvec_method2, \n",
" colvec_method3, colvec_method4, \n",
" colvec_method5, colvec_method6,\n",
" colvec_method7]:\n",
" print('\\nTest:', method.__name__)\n",
" %timeit test_method(colvec_method2, A)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Test: colvec_method1\n",
"100000 loops, best of 3: 16.6 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"Test: colvec_method2\n",
"10000 loops, best of 3: 16.1 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"Test: colvec_method3\n",
"100000 loops, best of 3: 16.2 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"Test: colvec_method4\n",
"100000 loops, best of 3: 16.4 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"Test: colvec_method5\n",
"100000 loops, best of 3: 16.2 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"Test: colvec_method6\n",
"100000 loops, best of 3: 16.8 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"\n",
"Test: colvec_method7\n",
"100000 loops, best of 3: 16.3 \u00b5s per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 91
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Speed of numpy functions vs Python built-ins and std. lib."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## `sum()` vs. `numpy.sum()`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import sum as np_sum\n",
"import timeit\n",
"\n",
"samples = list(range(1000000))\n",
"\n",
"%timeit(sum(samples))\n",
"%timeit(np_sum(samples))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"10 loops, best of 3: 18.2 ms per loop\n",
"10 loops, best of 3: 138 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"funcs = ['sum', 'np_sum']\n",
"orders_n = [10**n for n in range(1, 6)]\n",
"times_n = {f:[] for f in funcs}\n",
"\n",
"for n in orders_n:\n",
" samples = list(range(n))\n",
" times_n['sum'].append(min(timeit.Timer('sum(samples)', \n",
" 'from __main__ import samples')\n",
" .repeat(repeat=3, number=1000)))\n",
" times_n['np_sum'].append(min(timeit.Timer('np_sum(samples)', \n",
" 'from __main__ import np_sum, samples')\n",
" .repeat(repeat=3, number=1000)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"\n",
"labels = [('sum', 'in-built sum() function'), \n",
" ('np_sum', 'numpy.sum() function')]\n",
"\n",
"matplotlib.rcParams.update({'font.size': 12})\n",
"\n",
"fig = plt.figure(figsize=(10,8))\n",
"for lb in labels:\n",
" plt.plot(orders_n, times_n[lb[0]], \n",
" 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 explicit for-loops vs. list comprehensions')\n",
"\n",
"max_perf = max( n/i for i,n in zip(times_n['sum'],\n",
" times_n['np_sum']) )\n",
"min_perf = min( n/i for i,n in zip(times_n['sum'],\n",
" times_n['np_sum']) )\n",
"\n",
"ftext = 'the in-built sum() is {:.2f}x to '\\\n",
" '{:.2f}x faster than the numpy.sum()'\\\n",
" .format(min_perf, max_perf)\n",
"plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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dHTFs2DD4+voCAFq0aCEz78iRI2FjY4OoqChoaGjg1q1blTo48sQSGBiIZcuW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\nHQAAQIgg2AEAAIQIgh0AAECI+H/3Q2KUDc+3ZgAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## `range()` vs. `numpy.arange()`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import arange as np_arange\n",
"\n",
"n = 1000000\n",
"\n",
"def loop_range(n):\n",
" for i in range(n):\n",
" pass\n",
" return\n",
"\n",
"def loop_arange(n):\n",
" for i in np_arange(n):\n",
" pass\n",
" return\n",
"\n",
"%timeit(loop_range(n))\n",
"%timeit(loop_arange(n))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"10 loops, best of 3: 50.9 ms per loop\n",
"10 loops, best of 3: 183 ms per loop"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"funcs = ['loop_range', 'loop_arange']\n",
"orders_n = [10**n for n in range(1, 6)]\n",
"times_n = {f:[] for f in funcs}\n",
"\n",
"for n in orders_n:\n",
" for f in funcs:\n",
" times_n[f].append(min(timeit.Timer('%s(n)' %f, \n",
" 'from __main__ import %s, n' %f)\n",
" .repeat(repeat=3, number=1000)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"\n",
"labels = [('loop_range', 'in-built range()'), \n",
" ('loop_arange', 'numpy.arange()')]\n",
"\n",
"matplotlib.rcParams.update({'font.size': 12})\n",
"\n",
"fig = plt.figure(figsize=(10,8))\n",
"for lb in labels:\n",
" plt.plot(orders_n, times_n[lb[0]], \n",
" 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 explicit for-loops vs. list comprehensions')\n",
"\n",
"max_perf = max( a/r for r,a in zip(times_n['loop_range'],\n",
" times_n['loop_arange']) )\n",
"min_perf = min( a/r for r,a in zip(times_n['loop_range'],\n",
" times_n['loop_arange']) )\n",
"\n",
"ftext = 'the in-built range() is {:.2f}x to '\\\n",
" '{:.2f}x faster than numpy.arange()'\\\n",
" .format(min_perf, max_perf)\n",
"plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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zz6usI2nY6L5kRBrUXsjHRiN2Fbx7J36XFBfXfleVlIjftrBQ+jQZY5Uuh1ZW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\nAAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## `statistics.mean()` vs. `numpy.mean()`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# The statistics module has been added to\n",
"# the standard library in Python 3.4\n",
"\n",
"import timeit\n",
"import statistics as stats\n",
"import numpy as np\n",
"\n",
"def calc_mean(samples):\n",
" return sum(samples)/len(samples)\n",
"\n",
"def np_mean(samples):\n",
" return np.mean(samples)\n",
"\n",
"def np_mean_ary(np_array):\n",
" return np.mean(np_array)\n",
"\n",
"def st_mean(samples):\n",
" return stats.mean(samples)\n",
"\n",
"n = 1000000\n",
"samples = list(range(n))\n",
"samples_array = np_arange(n)\n",
"\n",
"assert(st_mean(samples) == np_mean(samples)\n",
" == calc_mean(samples) == np_mean_ary(samples_array))\n",
"\n",
"%timeit(calc_mean(samples))\n",
"%timeit(np_mean(samples))\n",
"%timeit(np_mean_ary(samples_array))\n",
"%timeit(st_mean(samples))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"ename": "ImportError",
"evalue": "No module named 'statistics'",
"output_type": "pyerr",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mtimeit\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mstatistics\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mstats\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 6\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mnumpy\u001b[0m \u001b[0;32mas\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mImportError\u001b[0m: No module named 'statistics'"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"funcs = ['st_mean', 'np_mean', 'calc_mean', 'np_mean_ary']\n",
"orders_n = [10**n for n in range(1, 6)]\n",
"times_n = {f:[] for f in funcs}\n",
"\n",
"for n in orders_n:\n",
" samples = list(range(n))\n",
" for f in funcs:\n",
" if f == 'np_mean_ary':\n",
" samples = np.arange(n)\n",
" times_n[f].append(min(timeit.Timer('%s(samples)' %f, \n",
" 'from __main__ import %s, samples' %f)\n",
" .repeat(repeat=3, number=1000)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"\n",
"labels = [('st_mean', 'statistics.mean()'), \n",
" ('np_mean', 'numpy.mean() on list'),\n",
" ('np_mean_ary', 'numpy.mean() on array'),\n",
" ('calc_mean', 'sum(samples)/len(samples)')\n",
" ]\n",
"\n",
"matplotlib.rcParams.update({'font.size': 12})\n",
"\n",
"fig = plt.figure(figsize=(10,8))\n",
"for lb in labels:\n",
" plt.plot(orders_n, times_n[lb[0]], \n",
" 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 approaches for calculating sample means')\n",
"\n",
"max_perf = max( s/c for s,c in zip(times_n['st_mean'],\n",
" times_n['np_mean_ary']) )\n",
"min_perf = min( s/c for s,c in zip(times_n['st_mean'],\n",
" times_n['np_mean_ary']) )\n",
"\n",
"ftext = 'using numpy.mean() on np.arrays is {:.2f}x to '\\\n",
" '{:.2f}x faster than statistics.mean() on lists'\\\n",
" .format(min_perf, max_perf)\n",
"plt.figtext(.14,.15, ftext, fontsize=11, ha='left')\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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p0iQ+fu1LsT/99BO6d+8OVVVVGBgYYMiQISgsLGxw++pTHT8qKgpGRkbQ1NTE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\nnRodzc9eJRk0DKK2o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ewv5CyO2DkhsS0RJctc3NRdKUwmEZw5ylsz/67T2S/AOxUhIeMH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\nOIaEhNi8RiKafhjYEZFPWbduHQ4fPoymp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"text": [
""
]
}
],
"prompt_number": 51
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cython vs regular (C)Python"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[[back to top](#sections)]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we implement a linear regression via least squares fitting (with vertical offsets) by solving to fit *n* points $(x_i, y_i)$ with $i=1,2,...n,$ via linear equation of the form \n",
"$f(x) = a\\cdot x + b$. \n",
"\n",
"Therefore we calculate the following parameters as follows:\n",
"\n",
"$a = \\frac{S_{x,y}}{\\sigma_{x}^{2}}\\quad$ (slope)\n",
"\n",
"$b = \\bar{y} - a\\bar{x}\\quad$ (y-axis intercept)\n",
"\n",
"where \n",
"\n",
"\n",
"$S_{xy} = \\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - \\bar{y})\\quad$ (covariance)\n",
"\n",
"\n",
"$\\sigma{_x}^{2} = \\sum_{i=1}^{n} (x_i - \\bar{x})^2\\quad$ (variance)\n",
"\n",
"I have described the approach in more detail in this [IPython notebook](http://sebastianraschka.com/IPython_htmls/cython_least_squares.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
\n",
"**First, the implementation in Python (CPython)**:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def py_lstsqr(x, y):\n",
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
"\n",
" x_avg = sum(x)/len(x)\n",
" y_avg = sum(y)/len(y)\n",
" var_x = 0\n",
" cov_xy = 0\n",
" for x_i, y_i in zip(x,y):\n",
" temp = (x_i - x_avg)\n",
" var_x += temp**2\n",
" cov_xy += temp*(y_i - y_avg)\n",
" slope = cov_xy / var_x\n",
" y_interc = y_avg - slope*x_avg\n",
" return (slope, y_interc)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
\n",
"**And now, adding type definitions and compiling the code via Cython**:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext cythonmagic"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%cython\n",
"\n",
"def cy_lstsqr(x, y):\n",
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
" cdef double x_avg, y_avg, temp, var_x, cov_xy, slope, y_interc, x_i, y_i\n",
" x_avg = sum(x)/len(x)\n",
" y_avg = sum(y)/len(y)\n",
" var_x = 0\n",
" cov_xy = 0\n",
" for x_i, y_i in zip(x,y):\n",
" temp = (x_i - x_avg)\n",
" var_x += temp**2\n",
" cov_xy += temp*(y_i - y_avg)\n",
" slope = cov_xy / var_x\n",
" y_interc = y_avg - slope*x_avg\n",
" return (slope, y_interc)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
\n",
"**A small visual proof of concept that our least squares fit works as intended:**"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib import pyplot as plt\n",
"\n",
"import timeit\n",
"import random\n",
"random.seed(12345)\n",
"\n",
"n = 500\n",
"x = [x_i*random.randrange(8,12)/10 for x_i in range(n)]\n",
"y = [y_i*random.randrange(10,14)/10 for y_i in range(n)]\n",
"\n",
"slope, intercept = cy_lstsqr(x, y)\n",
"\n",
"line_x = [round(min(x)) - 1, round(max(x)) + 1]\n",
"line_y = [slope*x_i + intercept for x_i in line_x]\n",
"\n",
"plt.figure(figsize=(8,8))\n",
"plt.scatter(x,y)\n",
"plt.plot(line_x, line_y, color='red', lw='2')\n",
"\n",
"plt.ylabel('y')\n",
"plt.xlabel('x')\n",
"plt.title('Linear regression via least squares fit')\n",
"\n",
"ftext = 'y = ax + b = {:.3f} + {:.3f}x'\\\n",
" .format(slope, intercept)\n",
"plt.figtext(.15,.8, ftext, fontsize=11, ha='left')\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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YLi4uXL16FaPRmOqlq7p161L33vOu8+fP5+LFiwwfPvyZbXqwExORVM/Z8ePH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DHxGnAGx86AbwBOQDeWLp1710EAgJ+fH9Onf8O6dYv54IMBNwQBAE5OTsz9aRrpL7blZbGDuztd\nCgWw2TIScAEKkJb2Jr//viVH2Xa7nQkTJvH00214+eUuHD9+/F/1ReHC3sBiHI8FBFhMsWI+hISE\nqCBAUf4jKhBQlP/YrFnf8swzetzc2lO48Abmz59NaGho9vkWLcLR6QoAvYH6gBsajZ3Zs+fn6WiX\n1WzmTFgY2rlzsbu6wsqVXAosg0azIzuNk9MOSpTIOTHx/fcH8+GHM9mwoSPz55eiWrV6JCQk3HMd\nVqyYj8EQgeMNh9I4O6/g11/n56JViqLcK/VoQFEeMmazmZdf7sKSJb9kHXkF+ApX1zC++64v7du3\nz/01UlNZU7w0z1w+Two6nndx55MNq8iXLx+1az+N1VoTuIa3dwJRUZuz5y/8xfF4Yy9QDACjsROf\nf16TXr163fKaNpsNIMfIRHJyMnPmzEGj0dC+fXtMJtPNsiuKcgv3fdMhRVH+W0ajkcWLf8bHZzsX\nLy4HHJt7paa2Y+fOPbkPBOx2TjRuzDOXz5OKiRasYHP6Wc787y1iYnZw6NAe1qxZg5OTE82aNct+\nZGGz2Vi7di1XrlzJ+qVz/QQ+7S1/EaWnp9Os2XNs2bIOjUZL9+49+eqrz9FqHQOSHh4edO/ePXdt\nUhTlX1OBgKI8pEqVKs2lS2sQCQasmExrKFv22dwVardDt26U27GDVAy04Dc20wA4yblz8QD4+Pjw\n6quv3pAtMzOTsLBniYw8g0YTgNVqx2h8HrP5Y7TaGJydV/LcczlfM7RarZQpU4UzZwoClwAr33/f\nnICASbz9dp/ctUVRlDyh5ggoykNq1qyvKVBgHB4e9XF1rUCtWk5065aL2ft2O3TvDtOnY3Ny4gVn\nHzYRANgwGD6nTp2cCwfFxcUxaNBHtGz5LNu3nyElJZJr1yLIzJyNs3M8det+R5s2B9i1axP+/v45\n8kdERHD2bArwEeABFCAj4x1WrNj079uhKEqeUiMCivKQKlOmDMeO/UlkZCSurq7UqFEjezj9ntnt\n0LMnTJsGRiO65csJ3RbJmmEBAFStWpdZs365IcvJkycJCalDSsor2Gx1gHHAahyv+tUjIyOVP/74\n7baXPX/+PI61EKKApllHt1OsmN+/a4eiKHlOTRZUlMedCPTqBd9+C87OsGwZhIUBjiF/s9mcPQ/g\nem+//R5ffqnBbv8068hiYDSwHb3+Q2rWjOKPP1bd9tKRkZHUr98cs1kPhALXMBh2cupUzC2XSVYU\n5d6odQQU5TGQkpLCwYMHSU5OztuCRaBPn7+DgCVLsoMAcCxJ/FcQYLfbWbhwIePHj2fz5s1cu5aG\n3e57XWF+wBH0ejfKlVtPRMSMO16+evXqTJkyAZPJjEaziFKlzhAdvUMFAYryEFEjAorygK1cuZIX\nXmiPVutFZuYlZs6cSrt2bXNfsAj06wdffglOTo4goFmzmybNyMigbNnqnDyZCTyFs/NyOnVqw48/\nLiYtbQZQAJPpTd555xneeafPTbdAvn1VBJvNhl6vnkYqSl7L7X1PBQKKksdE5K7Xxk9OTqZw4VKk\npi7BMXS+F5OpCceORePn9/dz9L/+T9/1mvsi0L8/TJgABgMsWgQtW94y+bPPvsiSJTtw7H/gDMSh\n15dl+vQpDB8+HrPZTOfOLzN06If/fp6Coij3hXo0oCgPicOHD1O2bHX0egP+/mXYtm3bHfOcOnUK\nrdYHRxAAEILBUIbY2FjA8e7+W2+9i9HojouLB/36DcRut9++UBESu3WDCROw6/WwYMFtgwCAdes2\nAOVxBAHg2LHQmbCwJsTGRnH69AGGD/84z4MAm83GuXPnsFqteVquoih3TwUCipIHrFYrTz/dkiNH\numC3p3L27Gc0bfosFy9evG2+IkWKYLUmAAeyjhzHYjlCiRIlAPjsswlMn74Ni+UYGRmxTJ26kfHj\nv7p1gSIcevZZ8n3/PVY0vKzNR981OfcKAMfjgK+//ppnn32B1FQrsAP4DUgDPsXd3Q0fH59764h7\nsGvXLnx9S1CyZEXy5fNh8eIl9+1aiqLchjxmHsMmKY+A2NhYcXUtLo4xeccfT8+Gsnr1ahERmTZt\nunh4+Iheb5TmzV+Q5OTk7LyzZ/8kLi4FxNOzvri4FJCvv56cfa5u3eYCS64rd4GUKBEiNpstZyXs\ndskcMEAExIJenmWhwFUxmYrJzp07b0iakpIiAQGVRadrJPCJQCEBdwFfAb3o9V4SFRV1y/bu2bNH\nSpasKDqdQUqXriz79++/p/7KyMgQLy9/gYisdu0Sk8lb4uLi7qkcRVFyf99TIwKKkge8vLywWq8A\nf228k4rVepyCBQuyYcMG+vQZTHLyajIzL7BunQudO/+9Jn/79q9y5MheFi0axsGDUfTs+Ub2ucKF\nC6LV7r/uSvs5ffoiI0aMubECIvDRR+g++4xM4GXmspjngHzo9VWIi4vLTmo2m6lcuRZHj5qx2X4H\nPgT2AhlAI7y9C5GQcJiqVavetK3Xrl2jUaOWnDjxHjZbEseO9ePpp1uSlpZ21/0VHx9PRoYW+GtS\nZHUMhqr8+eefd12Goih5QwUCipIHvLy8+PDDDzCZ6uLs3AtX19q88EJzKlWqxNq160hP7wxUAtzJ\nyBjJmjVrbshfpEgRnn76aYoXL37D8TFjBmMwfAG8iGPzoWnYbN8yffqcGyswZAiMGoXodPTw8GYh\nGVkn/iQzcyuVKlXKTvrjjz9y+rQBCAT+2gDIGzACzSlSpCTe3t63bGtMTAw2mx/QHsd2xf/Das3H\n4cOH77q/fHx8sNmSgINZRy5jtUZTrFixuy5DUZS8oQIBRckjgwe/z2+/zWDs2CDmzRvDjBnfotFo\nKFjQG2fnaOCvWb3R5MtX4K7KLF26NG+80RGNJhFoBOwGjDg7O/+daNgwGDECtFo0P/1E742r8fH5\nAKPRB6OxHlOnfklgYGB28k2bNmGx1AZ2ATOA40AvwA+dri8jRgy4bZ28vb2xWE4DiVlHrpCREU+B\nAnfXJgBXV1e+/fYrXFyewsPjWUymEHr37kqFChXuugxFUfJIHj2ieGg8hk1SHnEpKSkSFFRV9Pqn\nBf4n4CZeXoUlNjZWNm3aJAEBVcTTs5C0bPmirF69WlasWCEXLlzIzn/ixAnx8PAVjaanQEvR693l\niy/GO04OH+6YPKDVivz8c3aezMxMiY+PF7PZfENdhg4dKUZjUYGCAvMF6ggUEPAWrdZdpkyZcldt\n6tmzv7i6lhUnp97i6lpG3n77/X/VN4cPH5aIiIjbzkdQFOX2cnvfU+sIKMp/YM6cOfzvf+9hsfQG\nWqPVrqRcuTmcPHmC1NQpQHW02qHAEtzdq2C372f16qXUqlULgLVr19KiRVus1lfQaJxxcfmJI51f\npvCkSaDVYp8xA22HDje9dnx8PG3bdmLPnu1YLBpgFpAEvAskYjDkJyCgFBMnfkLYdasOAiQlJfHx\nx59w8OBx6tQJ4aOPBuLk5ISIsHLlSg4dOkT58uUJDw+/b32nKMrt5fq+l/tY5OHyGDZJeQwMGzZM\nNJoPrpv9f16cnFzF1fW1645ZBAwCGQIRUrx4eRERSU9Pl8aNnxGN5pPstANpLQJiA+mkNQlopGDB\n4rJhw4Ybrmu32yU4uIZotR8KJAosF/AWiBMQcXNrLfPnz79pnTMyMiQ4uIY4OXUWmCcuLi2lefO2\nYrfb73t/KYpy93J731NzBBTlPxAUFITJ9DuOd/RBo1mMr68/Gs0p/p47cAZwAgxAOGfPHufChQsE\nBVVlw4Y9iJQE4F0+YwxLsQOd+YaZ9h+Bgly8OJpnnmnHuXPnsq+bmJjIoUPR2O0jAE+gJVADWAb8\njEazndDQUG5mx44dnD5twWL5HniR9PQFrFu3noSEhJumVxTl0aQCAUX5D7z44ou0bl0Jk6kMHh41\n8PL6hKVL5xEQILi4tAIGA3WAQYAGrXYyQUGVKF++NnFx9bHZRgEj6E9/PuM9AF7nFWbxJvAcUA1w\nRaerzJ49e7Kve/z4cez2TOCv1wetwCFcXT+mXLmJrF27/KYbAEnW3gCOoOQvOjQaXdZxRVEeF2oH\nEEX5D2g0Gn76aRqHDh0iMTGRChUq4O7uzrZta5g+fTpnz54jLq4F8+aNQa//Bm9vTypVqsOBA5eA\nVkBL+rGQcYwH4A2NgR/ks6zSLThm/ruQmRmLr+/fOwYmJyfj7FyCjIwGON7Z34FOl0xU1FaCgoJy\n1HP69Bn07TuA9PQk6tULI3/+VMzmd7Bam2E0zqB69aoUKVLk/naWoij/KTVZUFHug8jISL744jus\n1kzefLMjjRo1uqt8SUlJJCUl4e/vT61a4URF+QBW3iKUL+kPwMKmLTlYvwGjRn2H2dwGu30NWq0V\no1FLu3ZP8cMP32RvTnTlyhVKlgwmObkHjm/3sRQqtIVTpw5iMBhuuPYff/xBePiLpKWtBAJwcupL\nvXoJ+Pn5cejQMWrXrsLYscNxdXW9IV98fDzr16/H1dWV5s2bYzQac9l7iqLcC7X74D+oQEB50Hbt\n2kXDhi1IS/sAMGIyDSciYjrNmze/p3I6derBzz9r6J65mUlZexF8kN+PwWdPYDQaWbt2LVFRUWRk\nZODl5UVAQADh4eE5dijctWsX7dp1Jj7+KGXKVGbRotmUKVMmx/VGjhzJkCHJ2GyfZh05j6treVJS\nLt2yjlFRUTz9dAtEngISKF7cwo4d63IEC4qi3D8qEPgHFQgoD9orr3Rl7tyKQL+sI79Qu/Z0tm1b\neU/lXL58ma/KhTD04hkARvgWpe+RaDw8PPK2wlmmTJnC228vJi3tV0ADrKZIkT6cPn3wlnmqVGnA\n3r2vAx0BwWhsx/DhtRkw4N37UkdFUXJS2xArykPGYsnEsfQuQCawnOjoGDp16s7Zs2dvmU9EyMjI\nyP5cICIiOwg42b8/g84cv29BAEDHjh0JCEjE1bUxLi5vYDK9yrRpE26bx/EGQc2sTxrM5lqcOnXr\nNiqK8vBRgYCi5LE33+yAyTQU+AWoCBwmJWUCs2a5U7VqKImJiTnyLFu2DE9PX0wmN4KCqnJh5Ejo\n0cNxcsIESowbh15/f+f2Go1Gdu5cz9Sp3fj88xAiIzfRtGnTG9IcP36cL774gq+++orz58/ToEEo\nzs6f4ngb4Swm03QaNap3X+upKEoey9UqBA+hx7BJyiNo+fLlEhBQUUAvkJS9EJBO97TMnTv3hrRH\njx4Vk8lbYJuATbry4t97GX/xxQNqQU579uwRN7eC4uTUQ4zGDlKgQBE5cOCANGzYUnQ6J9HrjTJk\nyCcPupqK8sTJ7X1PvT6oKPdBy5Yt+e231Rw9eojrB95sNnI8y9u1axc6XUOgNp2YwRTmA3Bp4EC8\n3377ltc4e/YsY8Z8wfnzV3juuaa8/PJLd6zXiRMniI+Pp1y5cve0SRBA//6DSUkZDjhGKqzW9/ny\ny8msX78cs9mMwWBAp9PdvhBFUR466tGAouSC3W5n6dKlTJ06lejo6BvOBQaWQKsthmPBn+XAR+j1\nUTmG2/38/LDbo+nA90ynC1qEgego/tU0VqxYcdPrXrx4kZCQOnz7rfDLL7Xp2nUIY8d+cdu6Dh78\nCcHBNXnmmQGUKFGO9evX31NbL126Cvy99oDNVpbz568AjscKKghQlEdU3gxMPDwewyYpDymbzSbh\n4c+Jm1s1MZk6i8nkI/Pm/ZJ9PjExUZydCwoUEigm4CYvvdQ+RznTpk2Xbi5eYst6HPA+rgIzBf4Q\nV1cvycjIyJFn0qRJYjRev0/BQfH09LtlPRcuXChGo7/A+az0a8XDw0dsNttdt/fjj0eIyVQ/a5+C\nQ2IylZOZM2ffdX5FUe6P3N731KMBRfmXfv31V7ZuPUVKynYci/XspmvXcNq1ewGNRsPGjRsxGALI\nyBiCY4+BQBYsqI7VOj17MZ+ZM2ezpef7TLMkogU+wsAYPsXxOh7Y7QYuXLiQYzU/i8WC3X79GwTu\nWK2WHHVMTU0lPPw5IiMjsVjqAD5ZZxphNqeTlJRE/vz5c+TbsmULO3fupGjRorRRYooAACAASURB\nVLRt2xatVsvgwe9z5cpVZsyogk6nZ+DA/nTo8FruOlFRlAdOPRpQlH/p/Pnz2O2V+Hs9fgOpqVfZ\ntWsX586dY9++fYAv0BTH44GygAar1ZpdRuyIz5hmuYQOO4MZxki+AdZknV2NwSA3LBn8l9atW+Pk\nFAF8D2zBZOpA+/btc6T76KMR7N5dAItlNbAHOJ11Zilubh7ky5cvR54JEybRtOmrDBp0is6dP6dV\nq5ew2+3o9XomTRpHSsolkpLO8cEH7+VYvEhRlEdQHo1MPDQewyYpD6no6GhxcSkoECnwjYCXaLXh\n4uTkKzqdh7i7VxYwCUwViBYnp87SoEHzvwuYN0+saERAhjI4a8h+nICHQKBotW45thW+XmRkpNSr\n11zKlq0lAwcOFqvVmn3OYrFIfHy81KnTTGBpVtkTBdxFpysunp5+sm3bthxlms1mMRhMAiey8mSI\nm1uwrF+/Pi+7TlGUPJTb+556NKAoOCb9bdq0icTERGrXro2fn98d85QvX56ZM7+hS5dwUlJSgRjs\n9lJYLBeA8ly7FgHsRqPpjo+PNw0b1mfy5DmOzBER8Oqr6BFGaowMlfzAp8AooAWwhHHjRvHUU08R\nHR3NsmXLMJlMtG/fPnu2f7Vq1di8+bcc9Vq9ejXPP/8qNpuWzEwLBkNhrNZngLdwctpJmzYafvjh\nu5suA3zt2jU0GgNQPOuIE1ptIJcvX77XLlUU5RGhlhhWnniZmZk0b96W7duPodWWQGQXa9Yso2bN\nmnfMe+rUKZ57rj179pwAzlx3pj4wAmiIu3sFNm36kZCQEMephQuRl15Ck5nJxrqhtP7zMMnXAFoC\nHoAXev081qz5DpvNRqtWL2GxdESnO0/+/NvYv387BQsWvGl9rly5QrFiQaSmRgBPAUvRaDrg6uqY\nY1C8uBt//PE7np6e2XlWrlzJmjXrKVTIh27dulG9+lMcP94Wm60fsAVX1w4cPLibokWL3mPPKory\nX8j1fS8PRiX+lbi4OGnYsKEEBwdL+fLlZeLEiSIicvnyZWnSpIkEBgZKWFiYXL16NTvPqFGjJCAg\nQIKCgmTVqlU3LfcBNkl5RM2YMUNcXesLWLKGw+dJQECVO+Yzm83i719GtNohAj7XDcFvFvDKmqEf\nKS4u+eXKlSuOTIsWiV2vFwEZQ03R8J5oNK4C/gKjBRIEpohO5y4uLvkFDAKNBdIFRAyG7jJ48NBb\n1mnbtm3i4VHturcJRNzdK8qMGTNkx44dYrFYbkg/ceIkMZlKCHwizs4vSmBgiBw6dEiqVm0ger1R\nChcOVI8FFOUhl9v73gO7ayYkJMiePXtEROTatWtSpkwZiYmJkQEDBsinn34qIiJjxoyRgQMHiojI\ngQMHpHLlymKxWOTEiRNSunTpm776pAIB5V4NHz5ctNpB1908z4nJ5HVDmgsXLsi0adPk+++/lwsX\nLojFYpHmzZ8VKJqVZ6tAYQE3cXJyFycnN/HwqCRGo6cMHPi+rFu3Tlb37SuZOp0IyGc0ELBn5Z0k\nGk0BgYoCHqLRmMTZuZRArMBVgVYCfbPSfiZvvtn3lm05ffq0GI1eWa/4icAJMRrzS0JCQo60drtd\nTKb8Aoez0trF1bWpzJ6tXglUlEdJbu97D+ytAT8/v+yhUjc3N8qVK0d8fDxLly6lU6dOAHTq1InF\nixcDsGTJEl555RUMBgMlSpQgICCAnTt3PqjqK4+RmjVr4uIyH0gABJ3uK6pW/fuxwMmTJylbtgp9\n+vzOW2+toly5qrz99nusW3cJxxr7aUAd4AhGo4k9e7YTH3+CoUP/h0Zj4Jtv9jOu0bM0mDgRnc3G\neI2BAbTAscMfQFHKlClN27ZV6Nz5NZ5//jkyMvoAAUA+YDjwOxCJyfQVbdr8vZ1xYmIiXbr0okqV\nhnTs2B2TycSIEYNxcamBh0crXFxq8+mnn9x0zoOIkJGRCvhnHdFgt/uTkpKStx2sKMrDLW/ikdw5\nceKEFCtWTJKTkyVfvnzZx+12e/bn3r17y48//ph9rmvXrhIREZGjrIekScoj4OLFi7Jx40aJjY2V\noUNHicHgIs7O+aVcueoSHx8vIiJpaWlSpEiwwMfX7RcwVLy8Sgv8JtBRoK7AaNFqq8nzz7cXu90u\nNpst69v2DmnOr2LGSQRkPO0EJohW6yOwQyBKTKYK8vXX32XX66OPhojB0PW6EYpZotV6ScGCJWXq\n1O+z02VmZkrlynXFyambwBpxcuolZctWE4vFIgcOHJBFixZJTEzMbfugRYt24uz8qsARgQhxdfWW\n2NjY+9PhiqLcF7m97z3wtwZSUlJo27YtEydOxN3d/YZzGo3mtu8p3+rc0KFDs//dsGFDGjZsmBdV\nVR4j69ato02bl9HpArFYYunXrxdJSZdJSUnB29s7+/9Wr17vEh9vBqpl57XZKqPRzEKni8Rm+wGY\nhUbzLaGhnsyfPxONRkNSUhJWq4WmXGEhz+OMhS8J4G3aAEVxczPi7t4JEaFPn268+eYb2eW//XYf\nZs0K5fLlNthsBdHplrBu3YockxcPHz7M0aMJWCybAS0WSyPOnCnP/v37qVatGsHBwXfsh3nzptOt\nW1/Wrm2Kt3dBJk9eSEBAQB70sKIo98uGDRvYsGFD3hWYN/HIv2OxWCQ8PFzGjx+ffSwoKCj7eebZ\ns2clKChIRERGjx4to0ePzk7XtGlT2b59e44yH3CTlEeA3W4XT09fgbVZ37gviMlUTHbs2JEjbaFC\nZQQGCIQK/CnwmkAhqVYtVAoUKCKurq1Fr28iOp2HNGjQPPvbtNlsluY6V0nHMTFwEq8IeGfNJWgi\n4CEXL168ZR2TkpJk+vTp8vXXX8uxY8dumubQoUNiMhURsGa1I1NcXUtnz71RFOXJkNv73gObIyAi\ndO3aleDgYPr165d9vHXr1sycOROAmTNn8uyzz2Yfnzt3LhaLhRMnThAbG3tXr3cpyj8lJyeTlpYC\nNMo6UhCdrg6xsbE50jre2a8GVAFq41ii9weio30ICAigWLE4NJo0bLYFbNnyNHXqNOLKlSusef99\nFtjSMJLJt7jQm4VAUtY1vQEN3303mZ07d7Jq1SouXbp0w3U9PDzo3LkzPXv2pFSpUjdtR2BgINWq\nVcDF5SVgDkbja5QvX4yKFSvmST8pivKEyJt45N5t3rxZNBqNVK5cWUJCQiQkJERWrFghly9flsaN\nG9/09cGRI0dK6dKlJSgoSFauXHnTch9gk5RHhN1uF2/vogKLsr5JnxKTqdBNv0lv2rRJTCZv0eka\nCFS57rl9hoCLgGv2q32OV/Way6Zhw8SS9Yrgd3QTDXFZz+ALZP39jEBtCQioLK6upcXTs5F4ePjK\nrl277rkt6enp8uGHQyU8/AV5772PJDU1NS+6SFGUR0hu73tqQSHlibRz506aNn0Wm82DjIwEQkKq\ncvbsBXx9ffj227HUqFEjO22XLm8ya9ZcbLaiwD4cs/3TcewjUBL4H/A2IDR3qcgy+1F0GRn8oHOn\nqy0aoQgaTR9EfgZMQC0MhrXodAGYzVsAIzCXgIBPiY3d8992hKIoj7zc3vfUpkPKE6lmzZrExx9l\n27YFNG4cxv79BThz5meiov5Ho0YtOXnyJAC//PILP/20DJvtAI4fl+7ALzg2EWoFdEanGw9Mo4mh\nORHmg+gyMqBzZ84O+QCdPgi93p2QkP106NAWLy8tRYocpG3b5litjXAEAQDhnDlz/D/vB0VRFDUi\noDzR7HY7Tk4u2GyXATcATKb/MX58XcqUKUPTpq2xWBoCS4GrOJYN/gHoBQxCp6uKRnOOULHxm5gx\n2W3QqRPy/fdodDqsVivp6el4eDi2DBYRDh06xNq1axk48EvS0jYDPmi1n1K16ip27Vr/AHpBUZRH\nmRoRUJRc0Gg0GAzOwMXrjl3AxcWFHj0GYLF8AuwEjgL5gVpotZm4u/+GwVASEQM1M6ey3CaY7DZ2\nl69I4KYo9E7OFC8ezL59+7KDAKvVSrNmz1O9elM++OAbDIZUDIYATKYiFC06m/nzf3gAPaAoypNO\nBQLKE02j0TB48MeYTM2ACTg5/Q8fnziee+45Ll++hGMnwE+AqkAhjMaebNq0klWrvqZ8+WBq2juw\nkq64kcaP1KfOoQSOnngHuz2NuLghhIW1JikpCYAvv5zE5s3ppKUd5dq1A6SmdqJRozBiYrZy7Nh+\nSpQo8cD6QVGUJ5cKBJQn3qBBA5g1axSvv36UQYNKsXv3Ftzc3AgPb4LR+BHQDliL0ahlwYLZhIaG\nUqdOHcI9jKxiCO6kMIeX6aIJw67R45g86AS8hEgRYmJiANi37xDp6a2zzmnIzGzHoUNHKV68ODqd\n7gG1XlGUJ90DX1lQUR4Gbdu2pW3btjccmzJlAikp3fjtNz/0eiMDBvSjRYsWjpM7dzJq9x/oyGC+\nthRddSaMxkmYzWbgEo61AhKxWE7h7e0NQJUqwURELCY9vSvghF4/j0qVyv+XzVQURclBBQLKEys6\nOppx474mPT2Drl1fISws7IbzJpMJo9EZo7EkUJlx476mQoVgXixVEsLD0aWkkNaiBWcaNmSkXk+7\ndsOYNGkqkybVxmYLR6dbR7t2z7FixQp+/fVXWrV6htWrN7NxY2m0Wjd8fZ2ZMmXVg2m8oihKFvXW\ngPJEOnDgALVqNSQtrT8inri4fMLPP3+TvZIlwNq1a2nT5i1SU6MAF2APdY0N2GLUo0lMJLVpU/QR\nETi7ud1Q9rp16zhw4AAeHh706zeI9PRmiBhwdl7Mtm3r0Ov1mM1mypUrh5OT013X2WKxsGfPHnQ6\nHSEhIej1Ko5XFCX39z31m0R5In355WTS0vogMghIIT09hp4936FUqVJUqlQJgLNnz6LRhOAIAiAE\nYZk5BY0ZlmoNdNx8APEvzbJl82nQoEF22Y0aNaJEiRK8+GInkpK6ITIMAKu1LO+9N5xff50HQGZm\nJqdOnaJAgQK4/SOY+KfLly8TGhrO2bMWRDIJCCjA5s0r75hPURTlTtRkQeWxcunSJTp27E6NGk3o\n1esdUlJSbpouI8OKiBuQAJQBDpOQEE6tWo1YuXIlANWrV8dmWwPsoxJ7WUN9vICl6HjBvoWktNMk\nJ8+mVat2pKenZ5e9e/duKleuze7dlxEpl31cpCwXL14BYP/+/fj7BxAcHIq3d2G++WbybdvVv/+H\nHD9eh2vX9pOScoCDB0syZMjIXPSUoihKllwtUPwQegybpNwls9kspUtXEoOhj8BKMRpflbp1w8Ru\nt+dI69hDwFegpECr6/YQWCVFipTLTjdnzjyp4ewmF7MSLEMnBmpfl17Eza2UHDp0SE6ePCm9er0t\nBQsGCPQSmCpQSSBW4ISYTLVk9OjPxW63i79/oMDMrDKOisnkJ3v37r2hjna7XRYvXiyfffaZBAZW\nF1h13XXnSZMmz9/3PlUU5eGX2/ueGhFQHhuzZ8/m9OlMrNYJQFPM5pns2fMncXFxOdLWr1+f+fOn\nAyeB63frK8vlyxeyP71cIZgd7ka8gd80OtrSBSvHgLNZKQ6QmXkZu91OhQo1+PprPRcv9sexEqEG\nx6uHtdDrK9Gjx9OEhTVk9uzZnDt3GuiQVUZptNpG7Nu374Y6du7ck9deG8wHH8Rz4kQcOt0swAZY\nMRrnUrOm2mVQUZTcU4GA8lhYt24dvXsPwGKxXXfUjogNrVZLfHw8zZq9QNGi5WnWrG3W52bo9U44\nlgyOBC4D/alcubIj+4ED0KgRmkuXWKkx8Lw8gwUX4D0cCww1QqOpzdSp3zBhwgRSUtoAY4E3gXnA\nGKAdJpMPM2Z8h6enJw0atKFXr8XYbBpgS1Y9kxDZQcmSJbNrHhMTw/z5y0hN/QOrdTyZmTuw25fi\n4lIcF5fi1KqVwccfv38/u1RRlCeECgSUx8LAgSPJyJgE5AO6AvPR6dpQv35dfHx8qFevKWvWlOPM\nmTmsWVOe0NBwrFYrgwcPxWAAaA4UwdV1K0uWzIGYGGjUCC5eZL3ByLNSjAxex7Hh0FWgBxrNHj74\noB/t2rUlMnIvUOC6GuUDzuHu3oD33+/Irl1RDBs2mrS0SFJSFgLfAc1wdw/DZKpAp05tqF+/fnbu\ny5cvYzAU46/9D6AErq6+LFgwlT//3Mz69csxGo0oiqLklnp9UHksBAfX4eDBT4EQHEsCb6B8eYiM\n3MRnn41j2LDvsdmO4RiuF9zdK7Bx449UqVKFhQsX8vvvGylWzI+33uqNe3w8NGwI58+T8dRT+G3/\nk8SMrkA0MBz4Co1mKUajFjAAZqpWDeGPP/YC3wDFgHfw8jrPpUsnaNmyHWvXxmOxWHGMPDi4ugYy\nduzbhIaG/j0KkSUxMZGSJYNJTPwcaIVGMxsfn885deogzs7O97s7FUV5hOT6vpcH8xQeKo9hk5S7\nMGrUZ2IyVROIElgnJlMR+e2332TMmM/FaCwl4CtgzppoZxaTyV8OHjyYs6BDh0T8/Bwz8ho1Ekti\nori4eApsE3hDwF3ARZycPAUissrbI0ZjAXF2dhcoJ1BG9HovmTNnrpw+fVqMRm+BMwLeAuuz8iwX\nDw9fSUlJuWWboqKipFSpSqLXGyU4uKYcOnToPvagoiiPqtze99SIgPJYsNvtjBgxhmnTfsLJyYnh\nwwfQuHEjSpeuSFraehzbB18C2mAwLCAszIfly39Bo9H8XUhsLDz1FCQkwNNPw/LlYDKxYMFCOnbs\njl5fg8zM/YSF1WHJkrXAleysLi5NGDeuLVFRB0hJSed//2tHs2bNOHXqFOXK1SY9/QywHngVSMPN\nzcTKlYsIDQ39L7tJUZTHUG7veyoQUB5LcXFxVKlSlytXUoAooDjwHRrNdFq1KsaCBRE3rsx39Kjj\ncUB8PNa6dfmsYRgRKzbi5ZWPsWM/xsvLi/3791OkSBFef/0t9uzZB2wHKgCX0WiC2LdvPRUr3jiT\nX0SoU6cJe/cWISOjEzrdcvz9f+Pgwd2YTKb/qjsURXmMqUDgH1QgoAC88cZbTJ/ugc0mOL6JDweO\n4OY2jL17t1G6dOm/Ex875ggCzpxhr3s+GqRkcE1sQBvgaVxdB7Nnz1YCAwP58MNhfPrpVGy2hsDv\nQC0gkoIFXblw4ehN63Lt2jXeffcjduzYS9mypZk4cTS+vr73tf2Kojw5cnvfU28NKI+lCxeuYrMF\n4pg4+DwwCFfXT9m8+fcbg4Djxx2PAc6c4WCBgjQyt+KaXMOx4uAxwITZ/Crz50cAMGXKD9hs44BV\nQF8gEL0+kwkTRtyyLu7u7kyePJG9ezcyd+50FQQoivJQUYGA8lhq27Y5JtOnwCEc7/IbGTDgTUJC\nQv5OdPKkIwg4fZp9rh7UvGzmqvVdQAd4AZ2AHWi1ZgwGx2MErVaHY0nixcB+NJqVtGsXzquvvvKf\ntk9RFCWvqEBAeWxcvXqV2bNnM2PGDMLCGjN48Ovkzx+Ou3stOnaszkcfvQc4NvvZ8csvpNeuDXFx\n7HZ2oX5qDVKoA2zIKs2e9e8juLou49VXXwVg0KB+mEwvA8fQaoPx8LjKp5+O+c/bqiiKklfUHAHl\nsRAbG0tISF0yMqqh0RjRaNaj0Qh2O9hsVnQ6LRUqVGXx4h/p3fplvvwzipJiJVJnoInNnSTmAkWB\nJkBZtNoE3NySaN26GcOGfUCpUqWyr/XTT3OYO3cZBQp48PHHA2581PAPNpuN0aM/Z+nSNfj5efP5\n58MoU6bMfe8PRVGeHGqy4D+oQODJk5mZia9vaa5caQt8AbTAsRfAMhxr87cCeqLXH6Vm4eXMPn2G\nUpLGLqoTTksS+QbogWNC4SXgVZo3d2Hx4vk4OTnlqm69evVnxoxdpKV9gEYTjYfHF8TERFG4cOFc\nlasoivIXFQj8gwoEnjyRkZHUrt0qaxJfraw/s3AEBOBY9/8nCjOEDdQkEDuRVCOM1SRyCmgIuAPl\ngGQMhiMkJMRSoECBm1zt3hiNHmRkxAKOCYIuLh354ou69OjRI9dlK4qigHprQFGw2+1ZawJMxLEM\nsAtw8LoUByiEsJ5WBGJnr8ZEOBEk4glMBmoA6cAaihW7SnT09jwJAoCsBYus1x3JRKtVP3aKojw8\n1IiA8lCz2Wxs3LiR5ORk6tSpc9NX7ywWCxUr1uboUR12+34c+wm4A62BDPxYwAaNliBJIzUggIHV\n6zE5IoLMTC1QCVgCeOHuXp7Nm3/Ose5/bgwY8CHffLOKtLT30On+JF++GcTEROHj45Nn11AU5cmm\nHg38gwoEHh9Wq5UmTdqwe3c8Wm1RRHaxbt2vVK9ePUfaK1eu0L//h/z552H8/DzYuHEzZnMaRQ16\ntrkY8Lt6FWu5chg2bQJvb2JiYqhWLRSzeSOOYGAXJlMz4uOPkS9fvjxrg4jw9dffsWTJGgoXLsiI\nER9QrFixPCtfURRFBQL/oAKBx8e0adPo23cOaWmrAD3wM2XLTuDgwZ13zGu321k8eTJle71FsNg4\noNESN2MGzTt2yE4zZ848unZ9E4PBn8zMs/z003SefbbN/WuQoijKfaACgX9QgcDj4+OPB/PJJxpg\nWNaReDw8qpGUdO6Oea8ePkxCufIEi41oytOIz0k1tScu7vANz/+vXLlCXFwcJUqUyNORAEVRlP+K\nmiyoPLZq1aqJq+tc4Bwg6PUTqVat5p0zXryI8zPPECw2YihHY9ZykWZkZBT8f3t3HhBVuf9x/D0z\ngDJgaqlYoGKIIoi466+ycCFy19zNpUxt1ex2y7LfvWn3XtR2tcwWLa+ZW2maW26hlqWppRYtdsVE\nRJMUlXVg5vn9Mcgvs7qZygjn8/qLOWfmzPMdjp4P8zzneXjhhWln/YO58soradKkyTkh4ODBg8yb\nN4+VK1dSVFR0cQsTEbmMKAjIZatr16489NAQ/P2vpUKFK4mK2sz8+a8B8N1339GxYw8aN27LuHF/\nx+VyeV+UmQkdO+L8/nu+sdlpz2v8SAjwPW73YZ59dh7Tpr30u+/78ccfEx3dnHvuWcaAARNp2/aW\n/z++iEg5o64Buezl5eWRk5PDVVddhc1mY+/evTRpch0ez6NAaxyOJOrXP8noQb0YtXgxjj17KKhT\nh3qHMjnk9gNigN1AP+BuwsJuJy0t5TffLyKiCfv3PwH0Ajw4nYlMndqfESNGlEa5IiLn5UKve37/\n/SkivhUYGIifnx9ZWVlUqVKFfv2G4PHcBDwOgNvdhiNfV6HN3/fjMFl4IiJ4sm0HDr15NXAH8D3w\nI/AsYP/VfzDGGHbs2MGxY8c4ejQdaFO8x05eXisOHUovjVJFREqdugbksvfyy68SHFyVmjXr0KBB\nM3744QDeqYO9qvAja3HT1GTxvc3Jm8OGsevIEbyndx2gAxAKZOPvP5CxY+866/jGGG67bQTt2vVn\n4MCp5OcX4XBMxrvw0EECA+dzww3Xl1K1IiKlS10Dclnbvn077dr1Ijd3ExCB3T4Zh+NZCgsDgAFU\npiFrGUsrcvkPtUnwj+dYhffxeBqSm7sbeAaoDvwFOMXo0bczdepzxTP+eb3//vsMGvS/ZGd/AjiB\n+fj53Q/kYrPZSEpK4q9/HVv6xYuI/AHqGpAyzxjDgQMHKCoqIiIigqKiIjZu3Ehubi7ffvstHk93\noB4AHs9DeDyPA06u4F0+4DCtKGI/dtpxP4c9/8TkDsHjeRGYC9yP9zQvYvjwQUyb9vw57+997+vx\nhgCA3ng8Qzh5MovAwEAcDkdpfAwiIj6hICA+5XK56NatP1u2fILNFkBkZBgejyE11Y3NVgOPZxs2\nW3XABQQAH3PVVWGEVgrmlQNHaE0RqTjpaPfDr85b1LHVYf/+W4uP/i5wMzAWu30Ly5fP4MSJE1St\nWvWsNjRr1gy7/RngEBCGzTaT+vWbEhwcXIqfhIiIb2iMgPjUlCnPsmVLIXl5B8nNPcDevTl8+eVV\nZGd/yunTK8jN/QcVKuQSHNyUSpV643T2Y9Gs6eyoUYk2nCAjoCJvDh3E3lOH2b9/N927dyYwcDpw\nDFgHzAOux+N5lIKCGJKTkwHvzINnXH/99TzxxFgCAhridF5DaOhLLF/+tg8+DRGR0qcgID61ffte\n8vL64/1rfyEezwGMac+ZU9OYtjidFVm+/EVef70/Kds+pP3TT+O/fTvUqsXV36Qwcc5rBAUFATBp\n0gQ6dAjA4aiN91uEvOJ3MsBpkpM3U6lSNQICKtK+fTdOnDgBwCOPPMiXX+7i8cfvZ/z4sVSuXLl0\nPwgRER/RYEHxqfHjn+D5578lP/8NoCYwHngb2ABUxWYbwa23enjnnTmQnQ2dO8OWLZyuXJlpt/al\nSe+edOnS5ZzjZmdnM3r0wyxatJvc3BEEBHxESMhWMjNPkZf3ARBJQMADtG//E6tXv8O+ffto1eom\nCgo6AB4CAzexc+dHhIeHl+KnISJy/rTWwC8oCJQtubm53HRTZ1JSDpGbewzIwhsGXgDAZqvI0qVv\n0qNjR+jSBTZt4oifPx3sHUlxtcXpfJ2JE0czZsy9fP3111SsWJH69etjs9nweDy89NJMkpO3ERER\nRoUKdiZNcuF2Tyl+9x9xOhuSk/MTt946hGXLYoonKQK7/QkGDjzMW2+95ouPRUTkD9NaA1KmOZ1O\nPv10Axs3zqNKlWBgPjAJSAacVKjQkcyDB6FbN9i0ibwqVbgloAUprpXAY+TmruPxxx+nQYNm3HBD\nf5o160Dnzn0oLCzEbrczevS9vPvuHJ566l/Url2bChX24O0mANhN1arVAcjIOIbH06ikXR5PLBkZ\nmaX5UYiI+ISCgPicw+Hg0KF0mjdvhs02CqgMJAKTCLJtpc+cOfDhh1CzJiseeoh9RAJn5gEowuXy\n48CBRLKzvyY39z9s2pTN9OnnricwZMgQIiNPERTUnsDAUTidg5g1ayoA3bp1wOmcjHeBo8M4nU/R\nvXuHUqlfRMSX1DUgPjdz5ms89NAkcnPHAzuAuQQGVsO/6Di761xN+Pf7jO+KBQAAHd5JREFUICQE\nkpNJrVCB2NhW5OS8BDTFZuuI99e9FGhWfMSX6dx5A9988x0//PAt114bw5Il/6ZRo0YUFBSwZMkS\nsrKyiI+Pp2HDhgC43W4eeOARXn/9VcDGfffdx9NP/wu7XVlZRC5vGiPwCwoCZU9YWEPS098EWgIe\n7PYHGHu3jclfp+D/4YdQowYkJ0PxRXvr1q3ceecDZGQc4tSp4xjTDYgEkoBC/P074XDsJD//ReBW\nYAHVqk3k4MFvCAwM/N22nDl3fj7zoIjI5UxjBKRM+PHHH7nttpE0b96B0aP/Sk5OTsm+wkIXMBsI\nAoLw93zEqDWrvSGgenXYuLEkBADUqFGDzMwfMSYK72yAPYAVeFcZDKN27Uz8/SOAwcX7h1NQUIlV\nq1Zx4MCB3/0HY7PZFAJExFJ8GgSGDx9OSEgIsbGxJduOHz9OQkIC9evX5+abbyYrK6tk36RJk4iM\njCQqKoq1a9f6osnyJ+Tl5dG6dTsWLarMrl3jeP31dDp16sOePXtYtWoVUVF1gc3AAQLI4F3SabB/\nP1SrBhs2QEzMWce7884HOH78AU6d+hBjlgD3ERBwNYGB+dx4YzNWrlxEUdEh4GTxK46Tnf0DQ4c+\nRMOGrenbdxhutxsREQGMD23evNns2rXLNGrUqGTbww8/bKZMmWKMMWby5Mlm3LhxxhhjvvrqKxMX\nF2dcLpdJTU01ERERxu12n3NMH5ckv2Ljxo2mUqVWBjwGjIFC43BUMRUrhhins5mBSgZeNwHkm+V0\nNQbMcYefMbt3n3OsEydOmGrVrjWwu/hYxsBE0759oklOTi45J+6+e6wJCmpoAgJGG4ejtrHZbih+\n/xzjdLY1M2fOLO2PQUTkkrjQ655PvxFo27btOfO+L1++nGHDhgEwbNgw3nvvPQCWLVvGwIED8ff3\nJzw8nHr16rF9+/ZSb7OcP++iPYU/21KE211Ifv775Ob+AHTHn+0soh/dWMFPOHm0+Q3QuHHJK4wx\njBp1H1WrhpKZeQyYhneZ4JM4nSsZNKgfN910U8ngvhkznmPRomeYNCmcypU9GDMT750GTnJze7Fz\n55elVb6IyGXtshsjcPToUUJCQgAICQnh6NGjABw+fJiwsLCS54WFhZGenu6TNsr5adOmDWFhDgIC\nRgCLCAjogcNRAwgGrsSPp1nI2/RgOcfxJ9Fu+KzQw5w5c0uOMX36DGbNSga+xNuNsByogsNxDQMH\ntuSOO24/6z1tNhudO3fmL3/5C3FxTXE43ive4yIwcBWxsQ0ufeEiImXAZb364H8buPVb+yZMmFDy\nc3x8PPHx8Re5ZXI+AgIC+OST9fztb//k668X0qBBQ2bN2oXbnYMfx1jAYHqRzQkCSaCQXZ6x8HkL\n7r77EU6ePElCQgcWLlyBx/MPoG7xUV8FxjNyZAdefnn6777/G29M5/rrEzh9+l2Kio7Ttm0z7rnn\n7ktdtojIJZGcnFyygNrFcNkFgZCQEI4cOULNmjXJyMigRo0aAISGhpKWllbyvEOHDhEaGvqrx/h5\nEJDLQ+XKlZk27emSxy1aNGP03e1505VPb7ORLBwk4GEXnfHeBgj5+T8wduw4goNDyck5DFTCezsg\nwDc4HCe58cbr/ut716lTh337drNnzx6cTieNGjXSnQEiUmb98g/ciRMnXtDxLruuge7duzNnzhwA\n5syZQ8+ePUu2L1iwAJfLRWpqavEiMa182VQ5Dzt27CApKYmXXnqJo0ePcvvgQZzokkBvU4inUiUe\njG7MTpoDzYtfsR14AmNWcPr0d3g824CVQE9gCPAk/frdzIABA/7Q+wcGBtK6dWtiY2MVAkREfsan\nEwoNHDiQTZs2kZmZSUhICE8++SQ9evSgX79+HDx4kPDwcBYtWkSVKlUASEpKYvbs2fj5+TF16lQS\nExPPOaYmFLr8vPfeewwadBcFBfF4PGtwkMOiioHcmp+NqVSJlQ88wP1zl/PDD6OACUBfYB7eMQT/\nPw6kUqV4Bg+OpkaNGvTu3fus205FRKxKMwv+goLA5WPjxo3Mm/cOb7+9gPz8ycD/Ymcuc5jLYOaR\njY1B1a5hY14LCgqOUlR0CngQeByYDtwFfAg0AdIIDGzO3r2fEBER4buiREQuMxd63bvsxghI+TB3\n7luMHPkQBQWPAMOAR7ETzRvMKw4BQXRxONmadQNFRQvw3grYGngACAAaA68BHYEIHI5v+cc/nlQI\nEBG5yBQE5KIoKChgzJhHWL58NU5nIAcOpOHxLAQSALBzhFksZSgfk00QnXiTrWYYHneL4iOcBr4D\nPsUbAP4KvALMAQYCLlJTf8AYoz5+EZGL6LIbLChl08iRY5g7dz9HjrzH/v0GjycIqAaADQ+v8R23\nU0AONnr5t2aX8wEGDuyH0zkbOAB8g3f54VjgKSAMaID324TpuN0ZvPnmBt555x1flCciUm4pCMgF\n279/P/Pnzycv7xXgTbwX9t7Avdj4lFe4heHsIhc7Sde15bZXh7B583Lmzp3No48OpWLFOByOm3A4\nTuCdLKgicC9g8N4pMAyoSk5Obz77bJdPahQRKa80WFAuSEZGBtHRzcnKKgKeBJ4D6gHNseHgZaZz\nF8fJAx6LbcU/t24gODj4rGOc+X2tW7eO3r1vw+UKwuXKBGoBY/EOGnThdCYydeptjBgxohQrFBG5\nvGkZYvGpxYsXk5eXCEwBxgPX4e3jf4+XeK4kBPQJqMZXITWpUKHCOcc4M4Nk8+bN2b17G2PG9MXf\nvzewEO8dBC2AurRqFcTtt99eWqWJiFiCgoBcEGNMcRL9GO/I/1WAnRe5gXs4TT7Qg9WscqXz8cf5\nzJjx8jnHcLvdDBp0J9dcU5fo6JYkJ3+G0/kBMALvOIFbsNlak5q6H5fLVYrViYiUfwoCckF69eqF\n270cOAF8DnRmKrW4j5kUAD2pzDq6ADeSl9eGPXu+PecY06a9xLJl/8HlyqCg4Ch794YTHx+PzbYH\nWAv8E2Pe5fjxamzcuLE0yxMRKfcUBOSC1K5dG4ejEO8iQOE8TxXG4KYAG72owAcsA/KBnthsM2jW\nLOas1xtj+OijneTmDgWCAD8KCkby/vtri28TPHOHqw0IwO12l15xIiIWoCAgF+THH3/E43EAB3iG\nvzKWqbiw0ZtrWU0H4CbAHxgH5NCvX18ANm/ezDXXXIvd7mD9+g8ICFiH9y4BgPV4PP8DXIWf363A\nWhyOvxEUlEq7du1Kv0gRkXJMEwrJn2aMISGhJ+6iVjzFjTxEbnEIuJKVHMN7ehUAFYDv8fe3U6VK\nFVauXEnXrn3x3l1QhVOn2mO3r8LPL4aioiuAY8CHeDwHCQ4eQGTkFOrWDeP55zdxxRVX+K5gEZFy\nSEFA/rRjx47xdcpXJGHjYXIpBPrixwoKgLeB+UALbLZmBAau47nnXsBms9G//zBgBdAeSAOaYrP5\n0aZNDbZurYrHsw7vksM7qFMnnB07NviqRBGRck9BQP6UEydOsOOzz5hQlM+juCjCQX9eZTmPAxFA\nXxyOAKpWvYJ77w2na9dlrFy5lmrVapGTU4A3BIB3roAWuN0evvjic664wp/s7Edwu6sRGPgKzz33\nts9qFBGxAgUBOW87duygY4euPF7gz/jiEDCABSylD7ATWILN1onatVNp2DCKDh06sH37Tp555h1y\nctYB8cAGoAPebwR2A+vJzX2LoUN/ol69WuTm5tG79xqaNWvmszpFRKxAMwvKeatdO5rhaTFM4B2K\ngEH8hcU8C+TgXUHwIN6M+TzeGQEfp169KPbsGQvcindp4d7AlUAm3hkJxwAzuO22L3jrrVd9UJWI\nSNmkZYil1BQWFjJ48EhuT/uGCXyNGzuDGcFiZuJdNfAg4MB7Ws0E+gGQm1tIZuZ0bLb9eM/VdsBY\nwsPnc+TIteTntwc+wumcwsCBM3xSm4iIVSkIyB+WlPQ0Dd9dxwQMbmAIQSykKgEBwQQF/UBRURF+\nfnayswMoLPz5nal2GjaM5PTpp8nP3w9AxYrvsmLFRubNW8zs2b0ICAhg4sQn6dKli09qExGxKnUN\nyB/2St2G3HXgGzzYGMq/mUciEM2wYT35+98fo3Hj1uTkTAV+BJKAaUABgYGPsGrVQurWrcvChQsB\n6N+/P3Xq1PFdMSIi5cSFXvcUBOSPmTIFHn0UD3A7c5jLUAD8/Hryxht9OH36NA89tIO8vFnFL1gA\n3E379u0YP/5+OnTo4KuWi4iUaxojIJfeM8/Ao49ibDaGG3/mUql4RxoOxzauuuou3G43dvuRn72o\nBYGBNtavX1I8VbCIiFyOFATk9z3/PDz8MAB3mgrMIRAYClQGjuPxBHPrrUNJTEygevUfKCwcisvV\nGKdzJhMnPqEQICJymVPXgPy2qVNh7FgA7rI14FXzEzAKqAL8E+gLvAbk4XR25sknu5Ofn8/hw8dI\nTGxH9+7dfdZ0ERGrUNeAXBrTp5eEgHvtfrzquQUIBP5V/IRXgPvxrgroJDe3D8nJm3n//UU+aa6I\niPw5Wn1QzvXSSzBmDAAPB1VlpvEHTgJVf/akOsDS4p+LgPdZu3Y1mZmZpdpUERG5MAoCcpYttw2G\n++8HYDQJPJMzAGNqAu/i/TZgKfAR3qmBnwVaAg0BBy5XFJMmTfFNw0VE5E/RGAEpsfWO4Vz35hsA\njOFKptMaCAIGAy8DXwPhQB7QDfgHsAS4Bm8YiCUg4CiHDx/gqquuKv0CREQsSPMI/IKCwJ/0+usw\nciQAD/I3XuBFIADvX/7+wCfAAGA/3mmEc4CaeAcO3gZsAmpTqdKXbNnyNnFxcaVfg4iIBV3odU9d\nAwKzZ8OoUQA8RD9e4EngZsCFdzAgeLsAsrHbuwAzgHY4HA78/bOAU8Bo4H48nqOEh4eXdgUiIvIn\nKQhY3Zw5MGIEGEPqPfcw07kRmIz3L/1CoA/wPnAfEEydOj/QqdN6xoy5joyMfSxY8G+czgUEBz9B\nUFAvFi+eS+XKlX1YkIiInA91DVjZ3LkwbBgYw6nHHmNNkyZMmzaLQ4fSSUs7jMcTDlyLtxsgEmiB\nwzGe6tUr8NFHa4mIiADg9OnTpKenU6tWLYKCgnxXj4iIBWmMwC8oCPxB8+bB0KHg8fBM1RDGnTyN\nxxOA906AAmAcMAb4AFgEGKAHcA92ex5t2qzl448/8FnzRUTES0HgFxQE/oD582HwYPB4mOSswvjc\nLsBPwB1Av+InXQfUB8LwTh6UB3TBu5jQf6hWLYFjx1J90HgREfk5DRaU87NwYUkIWBLbhPG5Drz9\n/wV47w44oy/wHvAMkIV3zMDrADgcb9GoUaPSbbeIiFwSmmLYShYvhttuA4+Hb/v1o987H+C9wK/H\ne1fAKMAN5ANTgO7Ap9jtPzBgwC0sWXItfn5VqFatAnPnrvFZGSIicvGoa8Aq3n0X+vcHt5uPb7qJ\nm7Zsx+1pBaTgzYPVgP8AVwAN8IaAZ4C7qVr1FY4fT+fgwYNkZ2cTGRmJv7//b76ViIiUHo0R+AUF\ngV+xdCn06wdFRcyrVZfBaSeB/wUm4e3/TwK+KX7yFXgHBuYBtXA6jzN9+j8ZPvx2X7RcRET+C60+\nKL9v2bKSELD1hrYM/uiL4h03A1cBtwMV8Y4PWA0cB7YBkwkJOcWCBW8RHx/vg4aLiEhpUBAoz95/\nH/r2haIitrRuQ/tPvgJuwXuHwCPAPCAGbyioVfxzMLAXu93J6tVLadq0qa9aLyIipUBBoLxauRL6\n9IHCQl4LqsK9O2Iocn+Fd9bAOKAj3sWCAGKBCkAofn7VCA4uYPXqVQoBIiIWoDEC5dHq1dCzJ7hc\n7G3XjqabKuL2rMI7J8ALeFcTzMO7jsBxbLa2tG0bRv/+PbjuuuuIioqiYsWKvqxARET+II0RkLN9\n8AH06gUuF9x/P+O+34/bUw3YjffiPwqoDvwd74DBr/D3z2DWrGXUq1fPhw0XERFfUBAoT9at834T\nUFCAuftu9tx5Jx/+TyLeyYKCgRvxdg0sxjtDYBIVKlTh3XfnKgSIiFiUugbKiw0boGtXyM/HjBrF\ngON5LF/xAfn5LryTBX2F9xuBr4CrgQ0EBw/k5Mkj2O2aYFJEpKzSFMMCu3dDt26Qnw8jRvD2DTew\nYtW35Ocvw3tbYA5wZfHPkfj5RRMcPJDlyxcqBIiIWJyuAuVBTAx07w7Dh8Mrr7AxOZnc3AS8F/88\nvHcH9AUaAoH07duEgwe/pV27dr5stYiIXAY0RqA88PODt94Cu51Va9Ywe/Y8oDbexYTyi3/eA9wA\nZJCYmEjVqlV92GAREblcaIxAOZKSkkJMTBugEAjCu4CQH1AVuBtYT0TEIVJSdhAQEODDloqIyMVi\nuTECa9asISoqisjISKZMmeLr5lw2Tp06RfPm7QAH4AGewjtPQBPgBE7nZCZPjmfv3m0KASIiUqJM\nfSPgdrtp0KAB69evJzQ0lJYtWzJ//nwaNmxY8hwrfiNw7NgxwsKicLk8eC/8R4EjQHvgE2y2k3zz\nzS7q16/v03aKiMjFZ6lvBLZv3069evUIDw/H39+fAQMGsGzZMl83y+fatu2Iy2XHO02wE+8KgrnA\nSipVKmTv3m0KASIi8qvKVBBIT0+nVq1aJY/DwsJIT0/3YYt8Lysri+++2w9Uwzs2IBvYBRhsNgcH\nDnxDTEyMT9soIiKXrzJ114DNZvtDz5swYULJz/Hx8eV+GV27vRC3uwDv4MAUvGMEAli2bD5XXnml\nbxsnIiIXVXJyMsnJyRfteGUqCISGhpKWllbyOC0tjbCwsHOe9/MgUN5VqVKFzp17smrVbtzuXMCN\nw1GRPXs+Izo62tfNExGRi+yXf+BOnDjxgo5XpgYLFhUV0aBBAzZs2MA111xDq1atNFgQcLlcTJiQ\nxKZN26lXrxZPP/0PatSo4etmiYhIKbjQ616ZCgIAq1evZuzYsbjdbu68804ee+yxs/ZbMQiIiIh1\nWS4I/DcKAiIiYiWWun1QRERELi4FAREREQtTEBAREbEwBQERERELUxAQERGxMAUBERERC1MQEBER\nsTAFAREREQtTEBAREbEwBQERERELUxAQERGxMAUBERERC1MQEBERsTAFAREREQtTEBAREbEwBQER\nERELUxAQERGxMAUBERERC1MQEBERsTAFAREREQtTEBAREbEwBQERERELUxAQERGxMAUBERERC1MQ\nEBERsTAFAREREQtTEBAREbEwBQERERELUxAQERGxMAUBERERC1MQEBERsTAFAREREQtTEBAREbEw\nBQERERELUxAQERGxMAUBERERC1MQEBERsTAFAREREQtTEBAREbEwBQERERELUxAQERGxMAUBERER\nC1MQEBERsTAFAREREQtTEBAREbEwBQERERELUxAQERGxMJ8EgcWLFxMTE4PD4WDXrl1n7Zs0aRKR\nkZFERUWxdu3aku07d+4kNjaWyMhIHnjggdJucpmRnJzs6yb4jJVrB9Wv+pN93QSfsXLtF4NPgkBs\nbCxLly7lxhtvPGt7SkoKCxcuJCUlhTVr1nDvvfdijAHgnnvuYdasWezbt499+/axZs0aXzT9smfl\nfxBWrh1Uv+pP9nUTfMbKtV8MPgkCUVFR1K9f/5zty5YtY+DAgfj7+xMeHk69evXYtm0bGRkZnD59\nmlatWgEwdOhQ3nvvvdJutoiISLlzWY0ROHz4MGFhYSWPw8LCSE9PP2d7aGgo6enpvmiiiIhIueJ3\nqQ6ckJDAkSNHztmelJREt27dLtXbEhERgc1mu2THLwsmTpzo6yb4jJVrB9Wv+q1bv5Vrj4iIuKDX\nX7IgsG7duvN+TWhoKGlpaSWPDx06RFhYGKGhoRw6dOis7aGhob96jO+///78GysiImJRPu8aODMY\nEKB79+4sWLAAl8tFamoq+/bto1WrVtSsWZMrrriCbdu2YYxh7ty59OzZ04etFhERKR98EgSWLl1K\nrVq1+PTTT+nSpQudOnUCIDo6mn79+hEdHU2nTp2YMWNGydf8M2bMYMSIEURGRlKvXj1uueUWXzRd\nRESkXLGZn/9JLiIiIpbi866BP0uTEp1tzZo1REVFERkZyZQpU3zdnEti+PDhhISEEBsbW7Lt+PHj\nJCQkUL9+fW6++WaysrJK9v3WeVAWpaWl0a5dO2JiYmjUqBHTpk0DrFN/fn4+rVu3pkmTJkRHR/PY\nY48B1qn/DLfbTdOmTUsGXFup/vDwcBo3bkzTpk1LbiW3Sv1ZWVn06dOHhg0bEh0dzbZt2y5u7aaM\n+vrrr823335r4uPjzc6dO0u2f/XVVyYuLs64XC6TmppqIiIijMfjMcYY07JlS7Nt2zZjjDGdOnUy\nq1ev9knbL7aioiITERFhUlNTjcvlMnFxcSYlJcXXzbroNm/ebHbt2mUaNWpUsu3hhx82U6ZMMcYY\nM3nyZDNu3DhjzK+fB2632yftvhgyMjLM559/bowx5vTp06Z+/fomJSXFMvUbY0xOTo4xxpjCwkLT\nunVrs2XLFkvVb4wxzz77rBk0aJDp1q2bMcY6578xxoSHh5uffvrprG1WqX/o0KFm1qxZxhjv+Z+V\nlXVRay+zQeCMXwaBpKQkM3ny5JLHiYmJ5pNPPjGHDx82UVFRJdvnz59v7rrrrlJt66WydetWk5iY\nWPJ40qRJZtKkST5s0aWTmpp6VhBo0KCBOXLkiDHGe7Fs0KCBMea3z4PyokePHmbdunWWrD8nJ8e0\naNHCfPnll5aqPy0tzXTo0MFs3LjRdO3a1RhjrfM/PDzcZGZmnrXNCvVnZWWZunXrnrP9YtZeZrsG\nfosVJyVKT0+nVq1aJY/P1GwFR48eJSQkBICQkBCOHj0K/PZ5UB4cOHCAzz//nNatW1uqfo/HQ5Mm\nTQgJCSnpJrFS/Q8++CBPP/00dvv//7dtpfptNhsdO3akRYsWvPbaa4A16k9NTaV69erccccdNGvW\njJEjR5KTk3NRa79k8whcDL6alKissfoESmfYbLbf/SzKw+eUnZ1N7969mTp1KpUqVTprX3mv3263\n88UXX3Dy5EkSExP58MMPz9pfnutfsWIFNWrUoGnTpr85r355rh/g448/5uqrr+bYsWMkJCQQFRV1\n1v7yWn9RURG7du3ixRdfpGXLlowdO5bJkyef9ZwLrf2yDgK+mpSorPllzWlpaWclwvIsJCSEI0eO\nULNmTTIyMqhRowbw6+dBWf99FxYW0rt3b4YMGVIyj4aV6j+jcuXKdOnShZ07d1qm/q1bt7J8+XJW\nrVpFfn4+p06dYsiQIZapH+Dqq68GoHr16vTq1Yvt27dbov6wsDDCwsJo2bIlAH369GHSpEnUrFnz\notVeLroGjMUnJWrRogX79u3jwIEDuFwuFi5cSPfu3X3drFLRvXt35syZA8CcOXNKfqe/dR6UVcYY\n7rzzTqKjoxk7dmzJdqvUn5mZWTIqOi8vj3Xr1tG0aVPL1J+UlERaWhqpqaksWLCA9u3bM3fuXMvU\nn5uby+nTpwHIyclh7dq1xMbGWqL+mjVrUqtWLb777jsA1q9fT0xMDN26dbt4tV+sAQ2lbcmSJSYs\nLMxUrFjRhISEmFtuuaVk37/+9S8TERFhGjRoYNasWVOyfceOHaZRo0YmIiLCjB492hfNvmRWrVpl\n6tevbyIiIkxSUpKvm3NJDBgwwFx99dXG39/fhIWFmdmzZ5uffvrJdOjQwURGRpqEhARz4sSJkuf/\n1nlQFm3ZssXYbDYTFxdnmjRpYpo0aWJWr15tmfr37NljmjZtauLi4kxsbKx56qmnjDHGMvX/XHJy\ncsldA1apf//+/SYuLs7ExcWZmJiYkv/jrFL/F198YVq0aGEaN25sevXqZbKysi5q7ZpQSERExMLK\nRdeAiIiI/DkKAiIiIhamICAiImJhCgIiIiIWpiAgIiJiYQoCIiIiFqYgICIiYmEKAiIiIhamICAi\nf9pnn31GXFwcBQUF5OTk0KhRI1JSUnzdLBE5D5pZUEQuyN/+9jfy8/PJy8ujVq1ajBs3ztdNEpHz\noCAgIheksLCQFi1aEBgYyCeffFJml3sVsSp1DYjIBcnMzCQnJ4fs7Gzy8vJ83RwROU/6RkBELkj3\n7t0ZNGgQ+/fvJyMjg+nTp/u6SSJyHvx83QARKbv+/e9/U6FCBQYMGIDH4+G6664jOTmZ+Ph4XzdN\nRP4gfSMgIiJiYRojICIiYmEKAiIiIhamICAiImJhCgIiIiIWpiAgIiJiYQoCIiIiFqYgICIiYmH/\nB2H+zOtjC0adAAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"
\n",
"**Eventually, the benchmark:**:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import timeit\n",
"import random\n",
"random.seed(12345)\n",
"\n",
"funcs = ['py_lstsqr', 'cy_lstsqr']\n",
"\n",
"orders_n = [10**n for n in range(1, 6)]\n",
"times_n = {f:[] for f in funcs}\n",
"\n",
"for n in orders_n:\n",
" x = [x_i*random.randrange(8,12)/10 for x_i in range(n)]\n",
" y = [y_i*random.randrange(10,14)/10 for y_i in range(n)]\n",
" for f in funcs:\n",
" times_n[f].append(min(timeit.Timer('%s(x,y)' %f, \n",
" 'from __main__ import %s, x, y' %f)\n",
" .repeat(repeat=3, number=1000)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"\n",
"labels = [('py_lstsqr', 'regular Python (CPython)'), \n",
" ('cy_lstsqr', 'Cython implementation')]\n",
"\n",
"\n",
"matplotlib.rcParams.update({'font.size': 12})\n",
"\n",
"fig = plt.figure(figsize=(10,8))\n",
"for lb in labels:\n",
" plt.plot(orders_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.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
"plt.legend(loc=2)\n",
"plt.grid()\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"max_perf = max( py/nu for py,nu in zip(times_n['py_lstsqr'],\n",
" times_n['cy_lstsqr']) )\n",
"min_perf = min( py/nu for py,nu in zip(times_n['py_lstsqr'],\n",
" times_n['cy_lstsqr']) )\n",
"\n",
"ftext = 'Using Cython is {:.2f}x to '\\\n",
" '{:.2f}x faster than regular (C)Python'\\\n",
" .format(min_perf, max_perf)\n",
"plt.title('Performance of least square fit implementations in Cython and (C)Python')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Ugo2NDR4+fKjSdWGMMcYYKw1PT09cvny5xPOpfYxc/nbk7du3oampKXdXnKen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qXC/PnzsWrVKvTs2VPK8InoISqNCkcyj+BCwQVxzFHhiInhE/Fs0LNcSiUisjBZllZXrlyJ/Px8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\nAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"
\n",
"
\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Numba vs regular (C)Python & Numpy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Numba is using the [LLVM compiler infrastructure](http://llvm.org) for compiling Python code to machine code. Its strength is to work with NumPy arrays to speed-up the code. If you want to read more about Numba, please see refer to the original [website and documentation](http://numba.pydata.org/numba-doc/0.13/index.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we implement a linear regression via least squares fitting (with vertical offsets) by solving to fit *n* points $(x_i, y_i)$ with $i=1,2,...n,$ via linear equation of the form \n",
"$f(x) = a\\cdot x + b$. \n",
"\n",
"\n",
"\n",
"$\\Rightarrow \\pmb a = (\\pmb X^T \\; \\pmb X)^{-1} \\pmb X^T \\; \\pmb y$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I have described the approach in more detail in this [IPython notebook](http://sebastianraschka.com/IPython_htmls/cython_least_squares.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Matrix equation "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In order to obtain the parameters for the linear regression line for a set of multiple points, we can re-write the problem as matrix equation \n",
"$\\pmb X \\; \\pmb a = \\pmb y$ \n",
"\n",
"$\\Rightarrow\\Bigg[ \\begin{array}{cc}\n",
"x_1 & 1 \\\\\n",
"... & 1 \\\\\n",
"x_n & 1 \\end{array} \\Bigg]$\n",
"$\\bigg[ \\begin{array}{c}\n",
"a \\\\\n",
"b \\end{array} \\bigg]$\n",
"$=\\Bigg[ \\begin{array}{c}\n",
"y_1 \\\\\n",
"... \\\\\n",
"y_n \\end{array} \\Bigg]$ \n",
"\n",
"With a little bit of calculus, we can rearrange the term in order to obtain the parameter vector \n",
"$\\pmb a = [a\\;b]^T$ \n",
"\n",
"We will implement this matrix equation in \n",
"- `py_mat_lstsqr()` and \n",
"- `numba_mat_lstqrs()`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Classic approach"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the more \"classic\" approach that is often found in statistics textbooks, we calculate the following parameters as follows:\n",
"\n",
"$a = \\frac{S_{x,y}}{\\sigma_{x}^{2}}\\quad$ (slope)\n",
"\n",
"$b = \\bar{y} - a\\bar{x}\\quad$ (y-axis intercept)\n",
"\n",
"where \n",
"\n",
"\n",
"$S_{xy} = \\sum_{i=1}^{n} (x_i - \\bar{x})(y_i - \\bar{y})\\quad$ (covariance)\n",
"\n",
"\n",
"$\\sigma{_x}^{2} = \\sum_{i=1}^{n} (x_i - \\bar{x})^2\\quad$ (variance)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will implement this \"classic\" approach in\n",
"- `py_lstsqr()` and \n",
"- `numba_lstqrs()`"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"\n",
"def py_mat_lstsqr(x, y):\n",
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
" X = np.vstack([x, np.ones(len(x))]).T\n",
" return (np.linalg.inv(X.T.dot(X)).dot(X.T)).dot(y)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numba import jit\n",
"\n",
"@jit\n",
"def numba_mat_lstsqr(x, y):\n",
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
" X = np.vstack([x, np.ones(len(x))]).T\n",
" return (np.linalg.inv(X.T.dot(X)).dot(X.T)).dot(y)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def py_lstsqr(x, y):\n",
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
" x_avg = sum(x)/len(x)\n",
" y_avg = sum(y)/len(y)\n",
" var_x = 0\n",
" cov_xy = 0\n",
" for x_i, y_i in zip(x,y):\n",
" temp = (x_i - x_avg)\n",
" var_x += temp**2\n",
" cov_xy += temp*(y_i - y_avg)\n",
" slope = cov_xy / var_x\n",
" y_interc = y_avg - slope*x_avg\n",
" return (slope, y_interc)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"@jit\n",
"def numba_lstsqr(x, y):\n",
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
" x_avg = sum(x)/len(x)\n",
" y_avg = sum(y)/len(y)\n",
" var_x = 0\n",
" cov_xy = 0\n",
" for x_i, y_i in zip(x,y):\n",
" temp = (x_i - x_avg)\n",
" var_x += temp**2\n",
" cov_xy += temp*(y_i - y_avg)\n",
" slope = cov_xy / var_x\n",
" y_interc = y_avg - slope*x_avg\n",
" return (slope, y_interc)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Verifying that both approaches yield the same results"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import random\n",
"random.seed(12345)\n",
"\n",
"n = 500\n",
"x = [x_i*random.randrange(8,12)/10 for x_i in range(n)]\n",
"y = [y_i*random.randrange(10,14)/10 for y_i in range(n)]\n",
"\n",
"np.testing.assert_array_almost_equal(py_lstsqr(x, y),\n",
" py_mat_lstsqr(x, y), decimal=6)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visual checking the least square fit"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from matplotlib import pyplot as plt\n",
"\n",
"slope, intercept = py_mat_lstsqr(x, y)\n",
"\n",
"line_x = [round(min(x)) - 1, round(max(x)) + 1]\n",
"line_y = [slope*x_i + intercept for x_i in line_x]\n",
"\n",
"plt.figure(figsize=(7,6))\n",
"plt.scatter(x,y)\n",
"plt.plot(line_x, line_y, color='red', lw='2')\n",
"\n",
"plt.ylabel('y')\n",
"plt.xlabel('x')\n",
"plt.title('Linear regression via least squares fit')\n",
"\n",
"ftext = 'y = ax + b = {:.3f} + {:.3f}x'\\\n",
" .format(slope, intercept)\n",
"plt.figtext(.15,.8, ftext, fontsize=11, ha='left')\n",
"\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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c12Aw4OPjw6FDh/D19eXw4cNZ0oOCgjh06JDF2vb+++/TtWtXPDw8CAgIoGLF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\nImIDFaqIiIgNVKgiIiI2UKGKiIjY4C99KgLU7MAmZwAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import timeit\n",
"import random\n",
"random.seed(12345)\n",
"\n",
"funcs = ['py_mat_lstsqr', 'numba_mat_lstsqr', \n",
" 'py_lstsqr', 'numba_lstsqr']\n",
"\n",
"orders_n = [10**n for n in range(1, 6)]\n",
"times_n = {f:[] for f in funcs}\n",
"\n",
"for n in orders_n:\n",
" x = np.asarray([x_i*np.random.randint(8,12)/10 for x_i in range(n)])\n",
" y = np.asarray([y_i*np.random.randint(10,14)/10 for y_i in range(n)])\n",
" for f in funcs:\n",
" times_n[f].append(min(timeit.Timer('%s(x,y)' %f, \n",
" 'from __main__ import %s, x, y' %f)\n",
" .repeat(repeat=3, number=1000)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.pyplot as plt\n",
"\n",
"labels = [('py_mat_lstsqr', 'matrix equation in reg. (C)Python & Numpy'), \n",
" ('numba_mat_lstsqr', 'matrix equation in Numba'),\n",
" ('py_lstsqr', '\"classic least squares in reg. (C)Python'),\n",
" ('numba_lstsqr', 'classic least squares in Numba'),]\n",
"\n",
"\n",
"matplotlib.rcParams.update({'font.size': 12})\n",
"\n",
"fig = plt.figure(figsize=(10,8))\n",
"for lb in labels:\n",
" plt.plot(orders_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.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
"plt.legend(loc=2)\n",
"plt.grid()\n",
"plt.xscale('log')\n",
"plt.yscale('log')\n",
"\n",
"#max_perf = max( py/nu for py,nu in zip(times_n['py_lstsqr'],\n",
"# times_n['numba_lstsqr']) )\n",
"#min_perf = min( py/nu for py,nu in zip(times_n['py_lstsqr'],\n",
"# times_n['numba_lstsqr']) )\n",
"#\n",
"#ftext = 'Using Numba is {:.2f}x to '\\\n",
"# '{:.2f}x faster than regular (C)Python and Numpy'\\\n",
"# .format(min_perf, max_perf)\n",
"\n",
"plt.figtext(.14,.15, ftext, fontsize=11, ha='left')\n",
"plt.title('Performance of least square fit implementations in Numba and (C)Python+Numpy')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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xdQ0A+/fvx/fff48xY8agRo0a6NixI/7++284ODgUa/eiwszNzTF79mzMmTMH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\nF/MtP+ZcXnwOHxERERE1qGY3hi85ORmzZs2CkZER7O3tsXHjx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3/JRmzcAAAAAElFTkSu\nQmCC\n",
"text": [
""
]
}
],
"prompt_number": 33
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}