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September 21, 2017 21:23
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Example of using multiprocessing to solve in parallel a system of ODEs using different conditions
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Simplest way possible to paralelize a system of independent ODES" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"import numpy as np\n", | |
"import pylab as pl\n", | |
"import timeit\n", | |
"from scipy.integrate import odeint\n", | |
"from multiprocessing import Pool\n", | |
"from functools import partial" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Using the Lorentz dynamical system as example" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def f(y,t):\n", | |
" dy1 = sigma*(y[1] - y[0])\n", | |
" dy2 = y[0]*(rho - y[2]) - y[1]\n", | |
" dy3 = y[0]*y[1] - beta*y[2]\n", | |
" return [dy1, dy2, dy3] \n", | |
"\n", | |
"\n", | |
"tf = 300\n", | |
"np1 = 100\n", | |
"t = np.linspace(0, tf, tf*np1)\n", | |
"y0 = [1.,1.,1.]\n", | |
"\n", | |
"sigma = 10.\n", | |
"rho = 28.\n", | |
"beta = 8./3.\n", | |
"\n", | |
"soln = odeint(f, y0, t, rtol=1e-6, atol=1e-9)\n", | |
"\n", | |
"y1 = soln[:,0]\n", | |
"y2 = soln[:,1]\n", | |
"y3 = soln[:,2]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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bjucL1ppmvzxyeb3NXLmD6wtG0lEWawbfP7uG4wmKdYOErnJmuclwOjA4PTJf6wdk+yay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iAEgfJAYiofF8I9L2iqggBg1xP6g2SgM7FcL4pKKSR1pvJx+pZHTBYPNt8XH0xdlXl3sbljo/X0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\nlFJqF+lgSymllFJqF/0/ivRnfPqx4LMAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7feacd80e850>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"f, ax = pl.subplots(1, 3, figsize=(10,3) )\n", | |
"ax[0].plot(y1, y2, lw=0.1)\n", | |
"ax[1].plot(y1, y3, lw=0.1)\n", | |
"ax[2].plot(y2, y3, lw=0.1)\n", | |
"pl.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Turning it into an indepedent function" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def solveODE(sigma, beta, rho = 28., y0 = [1.0,1.0,1.0], tf = 300, np1 = 100):\n", | |
" \n", | |
" # The following function defines your ODE system\n", | |
" def f(y,t):\n", | |
" dy1 = sigma*(y[1] - y[0])\n", | |
" dy2 = y[0]*(rho - y[2]) - y[1]\n", | |
" dy3 = y[0]*y[1] - beta*y[2]\n", | |
" return [dy1, dy2, dy3] \n", | |
" \n", | |
" \n", | |
" # Time line\n", | |
" t = np.linspace(0, tf, tf*np1)\n", | |
" # Solving the ODE\n", | |
" soln = odeint(f, y0, t, rtol=1e-6, atol=1e-9)\n", | |
" \n", | |
" return t, soln[:,0], soln[:,1], soln[:,2]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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bjucL1ppmvzxyeb3NXLmD6wtG0lEWawbfP7uG4wmKdYOErnJmuclwOjA4PTJf6wdk+yay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iAEgfJAYiofF8I9L2iqggBg1xP6g2SgM7FcL4pKKSR1pvJx+pZHTBYPNt8XH0xdlXl3sbljo/X0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\nlFJqF+lgSymllFJqF/0/ivRnfPqx4LMAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7feacb3b3b50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"t, y1, y2, y3 = solveODE(sigma, beta)\n", | |
"f, ax = pl.subplots(1, 3, figsize=(10,3) )\n", | |
"ax[0].plot(y1, y2, lw=0.1)\n", | |
"ax[1].plot(y1, y3, lw=0.1)\n", | |
"ax[2].plot(y2, y3, lw=0.1)\n", | |
"pl.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Choosing a set of conditions that you need to test your ODE system on" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Let's say that we want to vary the parameter $\\sigma$ between 0 and 20, with steps of 0.1:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"set_Sigma = np.arange(0, 20., 0.1)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"We also want to test $\\beta$ for only the following values:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"set_Beta = np.array( [0., 1.0, 2.0, 3.0] )" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Sequential run" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"# This is where we save all solutions\n", | |
"set_Solutions = []\n", | |
"\n", | |
"start_time = timeit.default_timer()\n", | |
"\n", | |
"for sigma in set_Sigma:\n", | |
" for beta in set_Beta:\n", | |
" set_Solutions.append( solveODE(sigma, beta) )\n", | |
"\n", | |
"elapsed = timeit.default_timer() - start_time" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This is the time (in seconds) that this code spent:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"123.172927141\n" | |
] | |
} | |
], | |
"source": [ | |
"print elapsed" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Using multiprocessing's pool" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"First, define the number of concomitant jobs you want to use. To run on a dedicated server, I usually use up all CPUs. Depending on the problem, you may use more than the number of CPUs too." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"numJobs = 5" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Next, you just need to create a combination of all possible pairs of $\\sigma$ and $\\beta$. This can be achieved using itertools, however this is a super fast implementation I did ages ago:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def cartesian(arrays, result=None):\n", | |
" \"\"\"\n", | |
" Cartesian product of two arrays\n", | |
" \"\"\"\n", | |
" arrays = [ np.asarray(x) for x in arrays ]\n", | |
" n = np.prod( [x.size for x in arrays] ) \n", | |
" if result is None: result = np.zeros( [n, len(arrays)] )\n", | |
" m = n / arrays[0].size\n", | |
" result[:,0] = np.repeat( arrays[0], m )\n", | |
" if arrays[1:]:\n", | |
" cartesian(arrays[1:], result=result[0:m,1:])\n", | |
" for j in xrange(1, arrays[0].size):\n", | |
" result[j*m:(j+1)*m,1:] = result[0:m,1:]\n", | |
" return result" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"combinationsOfParameters = cartesian( [set_Sigma, set_Beta] )" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"You can check out above that the result is the actual combiation, one by one.\n", | |
"\n", | |
"Next, you just run:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"## Redefine solveODE ---- this is to avoid using more complex stuff with multiprocessing!\n", | |
"def auxSolveODE(listParameters): return solveODE(listParameters[0], listParameters[1])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"start_time = timeit.default_timer()\n", | |
"\n", | |
"## Creates a pool of concurrent threads using threading.Thread\n", | |
"p = Pool( numJobs )\n", | |
"\n", | |
"## Maps each file to each of the threads and runs using\n", | |
"## the available threads\n", | |
"set_Solutions = p.map( auxSolveODE, combinationsOfParameters )\n", | |
"\n", | |
"elapsed = timeit.default_timer() - start_time" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"This is the time (in seconds) that this code spent:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 32, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"27.4099609852\n" | |
] | |
} | |
], | |
"source": [ | |
"print elapsed" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Just to confirm that the result is actually correct:" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 37, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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sLJF0kWS+jNUssyDoYkGdk66gk/tWNPLRG9tJF8rc+OiL5MsKP/vd6/E7zMgG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8Ai9g2G2NblZyScUHfnaSVHnp2eBcbtlk3KbbNB3p3LQmhjgcJs0OFSCrAu5X1RZbOd8Dqz6ZSY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\nRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7feb08749c50>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"t, y1, y2, y3 = set_Solutions[250]\n", | |
"pl.plot(y1, y2, lw=0.3)\n", | |
"pl.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"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": "2.7.13" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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