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@wiso
Last active September 3, 2015 13:09
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profile root vs numpy
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Profile"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy.stats import binned_statistic\n",
"from matplotlib import pyplot\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"x = np.random.random(10000)\n",
"y = 2 * x + 1 + np.random.random(x.size) * 10\n",
"xedges = np.linspace(0, 1, 10 + 1)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def profile(x, y, xedges):\n",
" indexes = np.digitize(x, xedges)\n",
" errs, means = [], []\n",
" for ibin in xrange(1, len(xedges)):\n",
" ymasked = y[indexes == ibin]\n",
" means.append(np.mean(ymasked))\n",
" errs.append(np.std(ymasked) / np.sqrt(len(ymasked)))\n",
" centers = 0.5 * (xedges[1:] + xedges[:-1])\n",
" return centers, np.array(means), np.array(errs)\n",
"\n",
"def profile_scipy(x, y, xedges):\n",
" def err(x):\n",
" return np.std(x) / np.sqrt(len(x))\n",
" means, _, _, = binned_statistic(x, y, statistic='mean', bins=10, range=None)\n",
" err, _, _, = binned_statistic(x, y, statistic=err, bins=10, range=None)\n",
" centers = 0.5 * (xedges[1:] + xedges[:-1])\n",
" return centers, means, err\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 5.94558207 6.32665271 6.71500994 6.60761861 6.83586306 7.03021266\n",
" 7.30403597 7.53332379 7.69315111 7.91916441]\n",
"[ 0.09014026 0.09061858 0.09212039 0.0919936 0.0896189 0.09040148\n",
" 0.08973364 0.08976122 0.09053792 0.09312867]\n"
]
},
{
"data": {
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nBDtkP723gtJ4hsH1zE4aoMs0vo6pZ4seljJAbQbGfe8BEyesc4PxN0s7X3Sd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EGiLvCw/c6jEeQhF9tiuPPv0WkWHTe7ji80qEhjawFxe/SeHyAYVzsE917WzXF6JvFiKbK22js/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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x3b30490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"centers, means, stds = profile(x, y, xedges)\n",
"print means\n",
"print stds\n",
"pyplot.plot(x, y, '.', alpha=0.05)\n",
"pyplot.errorbar(centers, means, stds, fmt='o')\n",
"pyplot.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 5.95209581 6.32110329 6.71494982 6.60756686 6.83586306 7.03021266\n",
" 7.30403597 7.53332379 7.69332299 7.91874394]\n",
"[ 0.09007677 0.09070963 0.09202374 0.09208862 0.0896189 0.09040148\n",
" 0.08973364 0.08976122 0.09062557 0.09303251]\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib64/python2.7/site-packages/numpy/core/_methods.py:83: RuntimeWarning: Degrees of freedom <= 0 for slice\n",
" warnings.warn(\"Degrees of freedom <= 0 for slice\", RuntimeWarning)\n"
]
},
{
"data": {
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nBDtkP723gtJ4hsH1zE4aoMs0vo6pZ4seljJAbQbGfe8BEyesc4PxN0s7X3Sd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\nnsMz2QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x3b39ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"centers, means, stds = profile_scipy(x, y, xedges)\n",
"print means\n",
"print stds\n",
"pyplot.plot(x, y, '.', alpha=0.05)\n",
"pyplot.errorbar(centers, means, stds, fmt='o')\n",
"pyplot.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import ROOT\n",
"import rootnotes"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def profileROOT(x, y, xedges):\n",
" p = ROOT.TProfile(\"prof\", \"prof\", len(xedges) - 1, xedges)\n",
" filler = p.Fill\n",
" for xx, yy in zip(x, y):\n",
" filler(xx, yy)\n",
" return p\n",
"\n",
"c_code = \"\"\"\n",
"TProfile* create_profile(Double_t* x, Double_t* y, int data_size, int edges_size, Double_t* xedges)\n",
"{\n",
" TProfile* profile = new TProfile(\"prof\", \"prof\", edges_size, xedges);\n",
" std::cout << profile << std::endl;\n",
" for (int i = 0; i != data_size; ++i) {\n",
" profile->Fill(x[i], y[i]);\n",
" }\n",
" return profile;\n",
"}\n",
"\"\"\"\n",
"open(\"c_code.cxx\", 'w').write(c_code)\n",
"\n",
"ROOT.gROOT.ProcessLine(\".L c_code.cxx\")\n",
"def profileROOT_compiled(x, y, edges):\n",
" return ROOT.create_profile(x, y, len(x), len(xedges) - 1, xedges)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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BAGTwZu4C3FtZliNLVxWoAYCMVheqxCYAYApu/wEAZCBUAQBkIFQBAGQgVAEA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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<ROOT.TCanvas object (\"icanvas\") at 0x4faf150>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mycanvas = rootnotes.default_canvas()\n",
"p = profileROOT_compiled(x, y, xedges)\n",
"p.Draw()\n",
"mycanvas"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n"
]
},
{
"data": {
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BAGTwZu4C3FtZliNLVxWoAYCMVheqxCYAYApu/wEAZCBUAQBkIFQBAGQgVAEA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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<ROOT.TCanvas object (\"icanvas\") at 0x4faf150>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mycanvas = rootnotes.default_canvas()\n",
"p = profileROOT(x, y, xedges)\n",
"p.Draw()\n",
"mycanvas"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The slowest run took 4.15 times longer than the fastest. This could mean that an intermediate result is being cached \n",
"1000 loops, best of 3: 1.17 ms per loop\n"
]
}
],
"source": [
"%timeit profile(x, y, xedges)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100 loops, best of 3: 2.23 ms per loop\n"
]
}
],
"source": [
"%timeit profile_scipy(x, y, xedges)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"100 loops, best of 3: 16.3 ms per loop\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n"
]
}
],
"source": [
"%timeit profileROOT(x, y, xedges)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n",
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n",
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n",
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"1000 loops, best of 3: 677 µs per loop\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n",
"TROOT::Append:0: RuntimeWarning: Replacing existing TH1: prof (Potential memory leak).\n"
]
}
],
"source": [
"%timeit profileROOT_compiled(x, y, xedges)"
]
}
],
"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": "2.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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