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@jrjohansson
Last active August 29, 2015 14:03
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qutip-qobj-expm-qobj
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{
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"name": "",
"signature": "sha256:ab14de8e280381f7090d17d3947bc5d28b2a7344d6471591711e90eb538193fa"
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{
"cells": [
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Test the performance of various expm implementations for use in QuTiP"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from qutip import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import time"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nvec = arange(25, 600, 25)\n",
"\n",
"methods = ['dense', 'sparse', 'scipy-dense', 'scipy-sparse', None]\n",
"densities = [0.0001, 0.001, 0.01, 0.1, 0.25]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# number of repetitions\n",
"N = 1\n",
"\n",
"bm_data = [{method: np.zeros_like(nvec, dtype=float) for method in methods} for density in densities]\n",
"\n",
"for i1, density in enumerate(densities):\n",
" for i2, n in enumerate(nvec):\n",
"\n",
" H = rand_herm(n, density=density)\n",
" A = (-1j * H)\n",
"\n",
" for i3, method in enumerate(methods):\n",
"\n",
" t0 = time.time()\n",
" for n in range(N):\n",
" A.expm(method=method)\n",
" t1 = time.time()\n",
" bm_data[i1][method][i2] = (t1 - t0)/ N"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, axes = plt.subplots(len(densities), 1, figsize=(10,12))\n",
"\n",
"\n",
"for i1, density in enumerate(densities):\n",
" axes[i1].set_title(r'Density %.4f' % density)\n",
" for i2, method in enumerate(methods):\n",
" lw = 1 if method else 2\n",
" axes[i1].plot(nvec, bm_data[i1][method], lw=lw, label=(method if method else 'auto'))\n",
"\n",
" axes[i1].legend(loc=0)\n",
"\n",
"fig.tight_layout();"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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wIRYdmVxTIYQQdWzYAHfcARMnwty50MiN6aJpLocLe5b9hNBbcaiCyvRKKg5V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\nEzniiCOYOHEiiYmJVFVV4bLb1xhjjOnCG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o8LyLcDlap6u4hcA2Sq6rWt7GsB+TBhbWqM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1rWs33HADycnJPPTQQ0fdZ8WKFUybNo3c3NzjusZLL73EokWLWLFixfFW86ToqvdUCCFOJQfr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\nWq3cdNNNJCcnA5CZmcnYsWOpU6cOvr6+dO/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PHjz44IOMHDkSX19fFi1axK233orFYuG2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\nAilAHpBjjOlepF4TZKWUukbZjOFARhrfn4zm5+QT7E7P4ITNkyx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2w83WYpZ0R4b0elZq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\n",
"text": [
"<matplotlib.figure.Figure at 0x7fec433e99b0>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Versions"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%reload_ext version_information\n",
"\n",
"%version_information numpy, scipy, cython, matplotlib, qutip"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2]</td></tr><tr><td>IPython</td><td>3.0.0-dev</td></tr><tr><td>OS</td><td>posix [linux]</td></tr><tr><td>numpy</td><td>1.8.1</td></tr><tr><td>scipy</td><td>0.13.3</td></tr><tr><td>cython</td><td>0.20.1</td></tr><tr><td>matplotlib</td><td>1.4.x</td></tr><tr><td>qutip</td><td>3.0.0.dev-1d48dac</td></tr><tr><td colspan='2'>Fri Jul 11 11:33:24 2014 JST</td></tr></table>"
],
"json": [
"{\"Software versions\": [{\"module\": \"Python\", \"version\": \"3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2]\"}, {\"module\": \"IPython\", \"version\": \"3.0.0-dev\"}, {\"module\": \"OS\", \"version\": \"posix [linux]\"}, {\"module\": \"numpy\", \"version\": \"1.8.1\"}, {\"module\": \"scipy\", \"version\": \"0.13.3\"}, {\"module\": \"cython\", \"version\": \"0.20.1\"}, {\"module\": \"matplotlib\", \"version\": \"1.4.x\"}, {\"module\": \"qutip\", \"version\": \"3.0.0.dev-1d48dac\"}]}"
],
"latex": [
"\\begin{tabular}{|l|l|}\\hline\n",
"{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
"Python & 3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2] \\\\ \\hline\n",
"IPython & 3.0.0-dev \\\\ \\hline\n",
"OS & posix [linux] \\\\ \\hline\n",
"numpy & 1.8.1 \\\\ \\hline\n",
"scipy & 0.13.3 \\\\ \\hline\n",
"cython & 0.20.1 \\\\ \\hline\n",
"matplotlib & 1.4.x \\\\ \\hline\n",
"qutip & 3.0.0.dev-1d48dac \\\\ \\hline\n",
"\\hline \\multicolumn{2}{|l|}{Fri Jul 11 11:33:24 2014 JST} \\\\ \\hline\n",
"\\end{tabular}\n"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"Software versions\n",
"Python 3.4.0 (default, Apr 11 2014, 13:05:11) [GCC 4.8.2]\n",
"IPython 3.0.0-dev\n",
"OS posix [linux]\n",
"numpy 1.8.1\n",
"scipy 0.13.3\n",
"cython 0.20.1\n",
"matplotlib 1.4.x\n",
"qutip 3.0.0.dev-1d48dac\n",
"\n",
"Fri Jul 11 11:33:24 2014 JST"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
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