{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Foreign Function Interface\n", "====\n", "\n", "This sectioh shows how to wrap functions or classes from other languages to use in Python. We will only look at examples from C, C++, and Fortran. We will also look at calling R and Matlab functions via line and cell magics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "C\n", "----" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using `ctypes` to wrap an R function from libRmath\n", "\n", "R comes with a standalone C library of special functions and distributions, as described in the [official documentation](https://cran.r-project.org/doc/manuals/r-devel/R-admin.html#The-standalone-Rmath-library). These functions can be wrapped for use in Python." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using `cytpes`" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from numpy.ctypeslib import ndpointer\n", "from ctypes import CDLL, c_int, c_double, POINTER" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def rnorm(mu=0, sigma=1):\n", " lib = CDLL('./libRmath.dylib')\n", " lib.rnorm.argtypes = [c_double, c_double]\n", " lib.rnorm.restype = c_double\n", " return lib.rnorm(mu, sigma)\n", "\n", "def dnorm(x, mean=0, sd=1, log=0):\n", " lib = CDLL('./libRmath.dylib')\n", " lib.dnorm4.argtypes = [c_double, c_double, c_double, c_int]\n", " lib.dnorm4.restype = c_double\n", " return lib.dnorm4(x, mean, sd, log)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.hist([rnorm() for i in range(100)])\n", "pass" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UILx2nvLkVTsMNAALOgvMN/1cYEvXg5VSycAmjJvLs7skBDBuKgcDs93K5gM2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\nhRBCDCBZAlQIIcQVkhSEEEJc4ZOD/pV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xs = np.linspace(-3,3,100)\n", "plt.plot(xs, list(map(dnorm, xs)))\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wrapping your own C function\n", "\n", "This is rahter unusual - most times we would probably just use Cython or `numba` to compile from Python to C rahter than write a standalone C function. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### C header file" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting c_fib.h\n" ] } ], "source": [ "%%file c_fib.h\n", "double c_fib(int n);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### C implementation file" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting c_fib.c\n" ] } ], "source": [ "%%file c_fib.c\n", "double c_fib(int n) {\n", " double tmp, a = 0, b = 1;\n", " for (int i=0; i\n", "#include \"add.hpp\"\n", "using std::cout;\n", "using std::endl;\n", "\n", "int main() {\n", " cout << add(3, 4) << endl;\n", "}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Compile and execute" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "7\n" ] } ], "source": [ "%%bash\n", "g++ -o driver.exe driver.cpp add.cpp\n", "./driver.exe" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using Cython to build a shared library" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Helper file to expose C++ functions to Python" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting plus.pyx\n" ] } ], "source": [ "%%file plus.pyx\n", "\n", "cdef extern from 'add.cpp':\n", " int add(int a, int b)\n", " \n", "def plus(a, b):\n", " return add(a, b)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using distuils to create a build script\n", "\n", "The standard approach is to write a `setup.py` file that will build the shared library. The build moudle can then be used elsewhere or installed togetehr with your Python package." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting setup.py\n" ] } ], "source": [ "%%file setup.py \n", "from distutils.core import setup, Extension\n", "from Cython.Build import cythonize\n", "\n", "ext = Extension(\"plus\",\n", " sources=[\"plus.pyx\", \"add.cpp\"],\n", " extra_compile_args=[\"-w\"])\n", "\n", "setup(\n", " ext_modules = cythonize(\n", " ext,\n", " language=\"c++\", \n", " ))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Build module" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Compiling plus.pyx because it changed.\n", "[1/1] Cythonizing plus.pyx\n" ] } ], "source": [ "%%bash\n", "python setup.py -q build_ext --inplace" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using C++ function in Pyhton" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "7" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import plus\n", "\n", "plus.plus(3, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fortran\n", "\n", "If there is a message `f2py not found`, create a symbolic link to `f2py3` in the same directory." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The fortranmagic extension is already loaded. To reload it, use:\n", " %reload_ext fortranmagic\n" ] } ], "source": [ "%load_ext fortranmagic" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%%fortran\n", "\n", "subroutine fort_sum(N, s)\n", " integer*8, intent(in) :: N\n", " integer*8, intent(out) :: s\n", " integer*8 i\n", " s = 0\n", " do i = 1, N\n", " s = s + i*i\n", " end do\n", "end " ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "385" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fort_sum(10)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "#### Antoher example from the [documentation](http://nbviewer.ipython.org/github/mgaitan/fortran_magic/blob/master/documentation.ipynb)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%fortran --link lapack\n", "\n", "subroutine solve(A, b, x, n)\n", " ! solve the matrix equation A*x=b using LAPACK\n", " implicit none\n", "\n", " real*8, dimension(n,n), intent(in) :: A\n", " real*8, dimension(n), intent(in) :: b\n", " real*8, dimension(n), intent(out) :: x\n", "\n", " integer :: pivot(n), ok\n", "\n", " integer, intent(in) :: n\n", " x = b\n", "\n", " ! find the solution using the LAPACK routine SGESV\n", " call DGESV(n, 1, A, n, pivot, x, n, ok)\n", " \n", "end subroutine" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([-0.19565217, 0.47826087])" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.array([[1, 2.5], [-3, 4]])\n", "b = np.array([1, 2.5])\n", "\n", "solve(A, b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## R" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%load_ext rpy2.ipython" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "\n", "The downloaded binary packages are in\n", "\t/var/folders/xf/rzdg30ps11g93j3w0h589q780000gn/T//RtmpdLdJIX/downloaded_packages\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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B7sYnn3w6JrzycKzWr2UC/t1tPWOTHT9fjrsislpDnAjNvFSfNksfUqUUFZKk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\nwAEHlAArSYj7F1OqZvRivADSx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fHbz4uLfz8mnnhqTlLW08XjAq+7a2Z88Lxl4wff+3bs\nOWFiubSomnADyEyqAJM7MWOq3Lcm6brIEMZkcpmQXa4IsOSGNqnXmac67KcM1K3/7UuwMSCPXVsC\nlG2qXqd+k3+9jeLE2tBbkg+w1QdxagwOM8fYrft9LklXV1eZDS1TnDfEOPUmrZKw6C/vhd6upW97\nldfHq7drmt8aDcyPBuadveantObaRgP/0QDmee6555agCYj32nvvOO2sC+KqR7aKw09bJY44bfn4\n4MVrxDvPXTvO/vsWceC7Px9vf8d/l1dbSnLggQe2dAViwVzLhx9+eMstIhXgeq9WS4S4i7UNo6qL\n41zdZ599dv2nnu/OyacXSQzDgtvtiNXK/cyQ8LzjauJWT+H/+YCJY3seKwjYAY8lOZ5u9FwDB2EF\njDQ9FnTRm7RKwqIzINxbHNh95d4AwI00GhguDTQu6OHS9HOkHmArMcmjA9PtZ1ITkz3llFNilz33\nLVkoV2KyTpMs5iLeh6ESE65MZKwE6BGsFUMFTty+gBgI1tmsetoJNnzGGWeUsWLAiWmrOxmSiRrw\ntRKAKknLOVg2kLdUqV1s0vl1ZiypSAxXn1tJ9bGC4td0mcuN1PdcFDFZHgFLg4x7byDZKgZMZ5kJ\nbexaCaMI0Lu/Gmk0MFwaaBjwcGn6OVLPmWeeWe7UlOAL3ICVvZuBMzbCrSqBScYplpqPGDS5pgDj\n0047rSdOKxEHK+bOVg4AEx8W15UVXI37iZnWQTnL5frdbrvteuKyXJzYT4r2JMu86KKLyuU/fuM2\nvuGGG0rmKuM6wdBuTYC2lVQfwuB37WZQtNt4w2/5WEEgzWVuPbGnG9XjyK3qW1iPMcoAI4Bk7LTy\nbGTf+wLgPK/+TvdN8lVdK833odZAA8BDreHnWPkeg1eN0wFMT+nB7Eh3d3fJILFPj/rzHZgBRqBt\naY7J8KyzziqB0YPQ9y7c17vssks5CWPONujAZEzEXMCAHKs99thjy2uBIndtdSMNCU9YtbZpU8aF\nsakEXUuUTPSWO2kDAJUsZd9l7knP7HVtVbAy7U6WXv2tDsA25NBebKwuXMyeDSxDmy4YFAyLDTbY\noNwopH7+c+07cHRvAFgZ5O2EwVc1xvK83pYiuReVm96XvKZ5bzQw1BpoAHioNfwcKh9bk8BkEjSh\nEeAKeCRQ+QxQMUGP0eOWBpYEOMo+dty6V0Ao2xc7rsdrsUFuYi8ZxQDQMSDoCUGuB6z77LNPz+5J\nmBN3c67bxS7VmezX+RjWfvvtV7JnZYgZAmrX2NGqlfsSE9dXseOqaJP+ph60DXC0Yr8AQL8lldmY\nI13zdOXVSJT3ifFg8PB8tBP6dn/VBQAb81YiLNBVeEIaaTQw3BpoYsDDrfGFtD5sVvIQoDFJAhGs\nEejkhAhUgfOVV15ZghlXblVcD+wApd8AdG/Cjb3HHnuUMdJcduR8ZWCxANXECwhlY5ucLzzrhLjo\njO8W3+8v1huPj1/d8It48fobxsSJE8uquK4x0OokjyEDZIDeSoA/xgzM1SeeDLir638lD/lejwlj\ndYwGDD2XJYkzMzrEuBt5VgPCAhLXGFKAlHehrktnGuM0qqq6My6Moro4JtzBY9JIo4Hh1kADwMOt\n8YWwPiBrgwiMkqvQ91xjm+Cr28AZUGN81X2enSuWm8t2uGn7At+qGrmJsz7vJlXvAB/wmbwvPvfk\nWPbpu2Kvl0yJl6y+SIxfLOKhqbPj1wX7OfnYnxSAv3GR9LVtufkHRpQTOYPBGl8x6LoAAzFbrB/o\nSw4DnL7ThZe+YrZ0kttpZjnaaYtJrDh3eVIGwM/veW7zHqVXgx4ZPPIFWm0X2RsD5i2pC8OJwZVx\n//rvzfdGA0OpgcYFPZTafQ6ULXtUjBfYWKMKODBYYFsXE6DtGsVS050LdE888cSS1XQVbkAJVECv\n7tKtl1X9LtbLfe16D1ZwPTG5YsnHfPpjsdozN8Wnd58aW603NlYqHnu4+LgxsdaKi8Rem86K4w56\nPI7+wAFx9Kc+Ue4DDGzFg9/ylreU5dh3WZ9INb7oMxD2ztBQr120gAAGDEixK+c4pm0JAn6zVaZk\nKwBPuOox9eficqNSAX38oUPeFcw3wxr1S4xBKwYMYHlCqkuReGkYaO6bRhoNLAgNNAC8ILS+kNSJ\neYpdEjFSO0xJwmonQBnwJpsEkJiviRB4224RuwGmmbTVrqzqcdd2F8lcYsJ77bVX+ZxgTwliFJx6\n0nGxy0sfi4/s1v5WX3H8mPjihMfiyguOL9nqzjvvXCZwAd03velN5YQuyQvLZSxgqQQYbL755uXE\n7jv3tck8DQCAwZUOhMV2bfKvHAwZ+GLLMsSJspPVAYpGWmuAG5oRA2QZK3Ux5sah6nnJc+puaOBr\nDNK4yvOa90YDw6WB9rPScLWgqWdUakDsUlwUqEqWyocKYBrJflu59bBB+zxbluR6YAV4sT4TJ8EK\nTaDctwMRAIaJyp6+96+/i8NfP29STr3clZcZE3u+bEr84pqfz/UTg0Ds16SfG4uI0abYBQvLJurV\nZ9cQrnSsl4Eh2QzAYsseoWjSz0ci8gJY5wqsgUQj7TXAwOPxSDd0qzMZPq1YcB2AhRoAeiONBhaU\nBhoAXlCaH8X1SoKxNAewYHbVWByA4ebDRAAxgE1GmIAsPivhyiQqFow1VsW1EpD68yD26vX5+ZZb\nbokNV3smlijczZ3I5l0z4tfXXjrPqdqdxoEf9T8zarUVcHrPSZ9eXGP9rpglHXE5Mz4I48L1maxl\nuRGDARtrpG8NAE33FA+M+60ufsuxqP4GgNMFnWOxsD9Rqtr/5vPI00ADwCNvTEZ0izJ2aeLrKoCz\nvjn+T3/607L9GeM1wQEc7LDuWpWl3G7tZWZSm2R7E5nW1tC2mnBNsisvNb23y+f6beUiNnzPPX/r\nAVc/KlfWNlBNYUBIvkrRR6wr1xZ7z/4CWoz+z3/+c0+56SIFzpLXJAGlWz7LbN7ba4DHQYKdcRDG\nqAvd9+WCbpYe1bXWfF8QGmiyoBeE1kdpnSY1u0Nxx5oEu7u7y544Li7q0XmSp6yNBaAmSQCKDVrP\najepqvgOQAFUK8GCuW3TxdvqHL9LyFEXRi1BR3axl3XJ05/q3MacWjyzweTN1az93OritWK4GKq+\ncYub+C1TcowRgf06X0yRMFIcBw4ynIEwoCUMDrFy6465srW506cvlQU0f0oNyLa3AxnDpq6/dgyY\nUei+SG9Ek2ne3EwLWgMNAC/oERgl9XMnSxwCJsDGYwDJ6cV2kace9+VYJh6IlZcoNjoYs2jcPvl5\nMfmp8bHV9nuVAIThJfgCYyBpRymg3A58lS1uyg1tp6vcsMPxFIlLmCk27sWlm4k56uHSveyfz8aV\n85re3u+8d1YsvdwqZf+wWMZGujixVQlXW2+9dWD5Jn9rjQ855JC45ppr4syTvh233PyruPiU/4t7\nH5waL3rJy6J7xzcVT3Y6uHy4AyMF8HJLAwj7O9NpfWlSb+1rfpujAfePMAbjyD3JkElpB8AZA2YY\n8ThUwwp5bfPeaGA4NTCmsObnPBtuOGtu6hpVGrjkkktK9gcI7eVMvvi5j8Ufrjo23rHFlFhtubnj\nrHc/MCv2++7sOOTQt8d6G2xUns9lLTs5J0vgKf4J2EyarQTjNNFiPBio5C9Ai4WbQN2+GddzPeB1\nzMvvP73wlNiv6/p4VVffTPhjFy8fL+n+rxLs2/1byFrGuC699NKSeV924Zmx3Iw/xcSXFbtlrTWn\nDmB+8k1Lxx8eWi6OeNcHymxn20oS2dAMEu57rutGBqYBa8rF+a0Zr7LZ2267rbzHWiVY2fSEMWQp\nXN6HA6u9uarRwPxroAHg+dfhQl+CSYubV6xzt912K0Hu61/5fHz8Yx+J339m0dIF20oJnvt7yHFj\n49XbvyU++alPl1nBeR7mYu9j7556hA1jhNguoBW/xTLTZch9iNF6aQcWztXNxY2JVoU7GrO0NMoE\n/c6Ddohj9pgaXSvPAcjq+T6feN0i8YcZr4vTz7mkrNODFwBlK5HZbG/qA/ebECs/eW18cKd51zzn\ndSdeVzzIYey2cezJ55bubX3jet5yyy171kLnuc17/zTA8OKlYGhZfiYUQIQlHJOhXheZ94we91wj\njQYWtAZa044F3aqm/hGjAVs8Al9xWMwXw5T0dPl5x8YNR7UHXx1YarEx8a0DZsZnrrmxZ3mNmCp3\nrnW+yVxzIw+xOTFYS01s2ygGLJaKjd5+++3R3d3doxdAhj1ri4nXOdoGmC1rAs6Ey3ePA94X23z0\n43H6u8bF5uvODcJPFkbCZXcsGXfN3ixOO/vicuJWt7p+/OMft03u+vCHPxxP3ntTfHD/9uCr/oO3\njPjOtTfGJRddENtuv0O5EYms6UxSc04jA9MAHWZugftBuIA72j3mXmK8uW/dE+mmzvyFgdXYXNVo\nYHA10ADw4OpzoSrN2lRsAuPcYYcdSnDSwZ9deXlsvvr9sWQBsH3JqsuOia7xD8RXv/rVnvW9dfcu\n97OlTCbKdq5orEXik7iv3bfEaLnDuRJlKmPT2LHNOOpu3Y1euXGcfPLJcdlPzohTf397rL/ytFhs\nzLR49Jll47d/mxFvOvjdcdw73zdX3VzdXJXqMKFrF+DUBm7xO353TbzrdVOL7s8N6K30MfEVj8fn\nf/DFWGrpZZvlRq0UNB/HJLO5Ry+88MLSg1INQfjME+J+k78gF8F9k6GLZMzzUX1zaaOB+dJAA8Dz\npb6F92KM07aRkqQ8P7cKanfd/ut4+arWX/YNPjS0/vKT41d/vK3c9EAClmSYZCjAUywYeJocvaoT\no98lYmG6Mq0xYg8tEN8zwRJMmpGQu0q5ploGl7SJ+tiTzy/ZvOzoq6++OrYsHv23ScGUDj300LnO\nV6ZJ23XA1rt2E4zaBH7qD46Jl63ZWf/Fx2c+fm/JyntLOisraP50rAGu/OpyMBfyfKRnxX0mU10o\nw3GeHIZU3tfuuUYaDSxIDTQAvCC1P0LrtrSDe9duTWJl3MJVeejB+2P8ytUjvX8eX3iDX7rGC3vW\nuia4cTUDYoCpvqp42g23IUAG/iZTL2K5D0CuMmkTaz4RKY/nuzgzNqs8x9QnPpxreyWYkTwfeGfs\n2XFuSy8Z1kDfhD5mBvbbuaxQND1BvPOrmjN704DxYgzlODqXoSXEwR3NWMulR1mO+8D4MqoaaTSw\noDXQAPCCHoERVj+WcO2115ag64EEuU8uFmrph0lv6pMzYvLjnSfPT37iebH6Wuv2MNR2XQasWK7E\nKhOkGLDM4cxW5QrGehgFVYbbrrw8jvEA7MzeBvaSs5QLuHfdddc8tefd72kUqAvwetd/Opk6rfP+\nK/SpWYs3ANyj3cH5IPMZ27WkK40nRh1DDQBnFjSDK0HaOmxsOI25wWlJU0qjgYFpoAHggeltobwK\n8Nn1CSh5KlFOUliDrGDLO0xkL994i/jtjb+J160/pSM93PzgqvHhTVs/bxWocncno7U+0xpjLuW6\ncBliNGLA4nmdSk7IeT7WTTBicWciAxvrtcTJcbHmFJO733kCJGiZ2G/4+UZx1/3XxHqr9e2GZqw8\nPmvpkp1lmc374GhANrlEKw8FMU6SsXznQclEPOMKhIGzLH5JfzwaaVwOTkuaUhoN9F8DDQD3X2cL\n5RWAkCsW0zNJVd2lEpK4+nL/XOB3ydlLxS33PBIbrd07AJ3961kx/vmblLG4VJwJEWuxzMdEyFVo\nfTD3YV+CFUsOk/2aMeC+rgHaJmDCgGBoEECs3yZvTApQe5mo7d/M5ey47+q13jQn7T33OzwuOP73\nceRqfbuiT75xXOy051v6xdrLBjZ/OtKAsWLAyay3s9pri9i+MEoCMO+N+5fnxPgZY/dgjmVHlTQn\nNRoYAg00ADwESh1tRWJ81tJysVrfWk9OSSDKfpm83rDz/vHJ078TX9zr8XjRqq1B+IrbZ8YHT38m\nvvzlLcq4HMCzB6+YrDokU9nUwuTYqXgSDhbKXd0bC86YL0YrkUqbbZXpXQyXYEwAOZ9CVAf0fA6w\npxapsyq77rZ7XHrBj+OjZ18Sn927df+d/60rZsTpNy0ed59xePXy5vMgawDoAlr3mDGfVOx2BZCt\nBWZwSX7L3dQAcCZqDXIzmuIaDfRLA81GHP1S18J3sgnrzDPPLBmiWCj3XYolN9y9dm3KGFr+5l2C\n1Le/cnQc8OpnYosXTIvViiVHM4plsf/8/+2dCdxVVbnGX0AGQUgmJYkrTkWK4AShmaAgiGnMgoZa\n4RhqZsNVr97KW5llpmaFY04gKIOQKCoqJpGpKCjoTUwRzQEERAZBlO/u/+auj83mDPucs8/Z5/v2\n8/5+h/Odc/Zew7M261nvsN61qsaeeqOVvbaxi4394RU++WLCJZgKwiWS2GknwfKi/g2Bk1uZ/b4Q\nLROuMx2zmOBvNF5I02m1BGiNHDnS9yGTQcn5DDG3Y/LOFJ1MPc5PnKltaO89Dj7ADumwwsYevdl2\n8440dLJ6fY1NfaGxvfrJwXbL+Ad2IHB3nd7jQ+D666+3KXf/0T7XdKO1abreGjXx3BWrvDFp2t6u\nuOr31qtXL78ynmt8xC4zWXwtUElCoDAEpAEXhle9uhqSmjJlij8ZQUJB8qWj+EEx5WUTAqXunDTT\nFrww3+56fLq99+7bvlm4/e57WMcvHWQD99nP1z4hXWdupjw0Ugivc+fOO9SZrS7IDnJ1BOu0dsyI\njmgxFdMHSDNsXiSgikUAGjT+ZUfSmJadZhSuO9tJTe46/OJjv/cj27hhnf10xl3W+NOV1qaF5+/9\npLFtsF2t074HWZ9DvlLSYsPVpffcCPz8p5faq3+7yy4/ZrntU2uRWeeNeY09+/q71u+Yo7xzmGdY\nv/7H+XEELK4kQiBpBKQBJz0CCdUPGaH5ouGuXbPSXlkw11auWG4NPB/wnp339g4SGGEHdO3m+1vD\nTcRUy/1Inz59fK0WPzGaJb44tFIIFg3DkToTHskS0LidQOCjRo2q3RKCVgrRhrVZyJY6IVheECzm\nciKmMQ9HMWFPnDjR9wHSHrRn2on/F60YLblQIbED/kb810SL33HHHf6CBd80ua1ZXLCAuf/++/0U\nnAS1hU3chdap6zMjcNO4G+zsc8+3V3/T1HZqtM0KEbz6ndU1ds745vanO2b4W9CIpnf7xoPX6W8h\nUEkEpAFXEu0qqmvatGn27DPedpy/P2AD933Xvn/op54J1Tss3jv2dtnKN+yRqfPsZ5c3trEXXuIT\nnms6puMgibLFh+hofGrt27f3ycdt/3D38I42CSFzPUSLOZrsV2jGTrPlHVKGYHmhrbL1CdINJgJx\n5RLxyv0c1JBPuB9ih4BZPECGtKNQ8qXvRNHiF4f4WYCw+MAcT1uHDx9eS7TgQTAbGj+ZujhJiYWD\nJD4EGIf7777OXvxldvKltj1aN7Crh6+366682O6aMtuPBYivFSpJCBSHgAi4ONzq9F0ksEdbveZ3\n19oTlzaxPdsRRLSVGBp5f+7XoYH32mQ9On1sV918tY381vd8MqTTQfLlM6TGubmk/MOfGhT8xpCq\nC3zC5A1pOe2ZLEYkxECLhEQh3XAZwfLCf2M+xgxM9HQ+LZgtRGjXCO2CfAslQ7QmAn3Y4sL9tJuF\nBccTIiwwwlpujx49jMMsuA8cIGH6KYkHgUcefsgO3+Nd26VZ/oUNW8ZaLnzTP12LBRnPcimxCPH0\nQKWkGYHtZ8w0I5GSvnMaDJHIT826xx78oSPfzJ3vuU9DO2PdSlv82kLrcOQAX8sLXwmJQW4Qbdh0\nDOGhYTofLVHLkBfm2S5duvjn6LIdie0h+fyt4Xr5jGbMyUT0h60ouQTN2kW+ugVAmCxz3c9v4bSH\naPouUI3f2e4UFvqFPxosiNzGDI+JOl97w+Xoc2YEXnz2STtyD7aYsYjMLwe0Xe4tPr184F/q4j+z\nIuD8mOmK8iEgAi4ftlVRMn5IVvuYQjk4fqm3PQNN7LDPr7Aue+SftAZ2b2gzJz1hn99zf1/jg7Qg\nMBJY8DekSzJ8/KnOP4spFi0P8g1rmSTacIIPDvP1Y4895mvRbEsqVNCC582b55N6Lu2ZibZUDRh/\nNUFr+LjBlPqIrnaEnimwB/INtov7wgFihfZZ129D4KM1q61Vp22f8/21S9MaW7P6A3+x5BZk+e7R\n70KgXAiIgMuFbJWU++CDD/qE4bQ1NM+H7h9vh3SMdpIP3Thir/W20iNYiBVzL2f2YjLGxwnRZtL8\nonYfEzS+3jne4QiQOKcbFSLUTzvYKkW0dTaB9CgfwXwMaYYXB9nudd+zr5S+or1ijsb8Hdyeha83\nLFgH8A+zGMEE371799qc2OFr9blwBNq2906rWm+2d8RbV29sYh3bf94fDxaiEiGQJAL5VaAkW6e6\nS0IA7ZTJH42N7T9orfggV7z/jrddJnrRbZpttNWrlvsRwwQdoQmireIDLYV8XQuIHCb7FsSOf5r2\nFiIQL2boXPfRTrBAIE1ehZigIVc0fczlkCht3meffWqTlkC0LgI82Hbq4HoSnJDwg5OYcrUzeK/+\nzo/AYV/tby+8E92n/uKK3XxrCwsiEXB+fHVFeREQAZcX30RLDyappyFsm8EH+5m3N3L9Vi6K1L51\nmxrYgd0OKWvACibyIUOG+FopEdq0M6owmRLdjBacTSBgki8gkG8hGjDXo6FjPUDbJkMW26xYzBBk\nhRbOdqgjjzwyo1bNoQH4gjkaD6JmG5QkHgQ4//mlVZ3srZVbt8XlKnXmgs+8tKgH+ylFRcC5kNJv\nlUJABFwppCtcDwRDpHNYJk2aZE1a7m6L34me/nHBOy39ACbMrviUITJeBF6xFSgcGR2uM+pnfKVk\n44Lc2GfLyUxRxWnBmHkzCSTpCBhseEUVth1BnJAtPmtM15ApQmAVgWD4tvFH54vGxsTOcXlYJySl\nI0CA3wWX/MYund7SPlib/YSqp/75mZ1/52b72a9u8C0fELB8wKXjrxJKQ0A+4NLwS/RugoqYzCFC\nSAC/rCMADlZwpk4IA7+nk733+aI9NLGVDT74Q2vWJPf2jX+9v8XWNd7LJ0WigNHeCCTiRbm0ge03\n5OKNSzjhhv4QNAapETWcT9BwMbGDB5pqWAgQc3gUYoJmnzHJSgYNGuRr2ARacXCE8x+zAMmVkzrc\nDjRoFhgc+YhZWlIaAiz+8O0fPuB0O+3Pd9p5fdbbEftssV1bbH2u3161xeYs2dmeW7Wf92xMqj39\nisUe/1e0Fak0/HV3aQiIgEvDL5G70Qxv+sNv7eknH7T/aLPZWjTZYqs2NLG1Na3t3At/Yh07/Yef\nKILGQUzhlT5BT/0Gn2E/+csN9quhG2vJJNyZFZ5GcexVn3j7WK/08y5DRgQeob05bRLNMFPijXBZ\nhX6GRDFLz5o1y/fV4XvNJyTeh9hYiNCuoBAFzSIEEuY9ig8YnzFRzuSuxl8IuWNmDkY1c7BDlFOc\ngm2BwCdPnuz7rcuBXbCu+vw3bgpiBni+x5xxpn137Hl2xX9fbBOmPOMtLBva5k9rrPkuLa3/CSfb\n7WecXbuX3WHizNDaiuQQ0XulERABVxrxEutjG9F53z7RBnZ+zW4YWmNNG2/TYN9f87b96n9G29sf\nd7Ax53zPX+GHyZfq0V5HffNbtmL5ezbqxkl2zcjN1tHLFBSUhcu22I1/b2d/mf5769evn/9T586d\n/UjoW2+91S8Dcy9Ext5iArLQVuMkFDTaESNG+Iku2KqE+TZMrME2E+mMdglRcnRgWCBOt1UIE3TQ\nKhC+ls8cU8ipTbSDXNIk8w9uIcIcj7CgKUSY8ElcgkUB8i4kGKyQeurrtWQeIyCO5CYsknjmWLDx\nrB9xVD8bc/b5/kKJ/hN8iJabaYwcAWNtkQiBJBBo9FNPkqhYdRaOAOTLZHP5caut7/4Nd8h7Szag\n47p6AUMLV9tbKzbYvl/ctq8WkymHEHA/7xxA0H73jrZizRZ7ZJHZ3Nd2ssXvNranXm9ut89rai+t\n7WKXXXWb9e3Xf7uGQhZkvkIjRBNGO8Q3iiZI0NfChQv9c4PRvPG7lioQLv5dEl7gg4YMKTuboDXT\nBrZMBTVVrmfSxgRMRDMTN32BCDMJ/nPwPuaYY3yiPOigg3yzePBatiVhCWDhUagQNMb9kEZwb3Sh\n5aTt+gkTJvikiu+dxR/PwsCBA/2xZkHD2OKywDeM8PuiRYt8q4hzGzjM3C4BngmJEEgCAWnASaBe\nZJ1/vPaXdu2pTezIL+aOnfvj6Q3tovte8Eych/nnoVIdBAJxOoFgIIDBXuTxgAHj/EkNfybfdfMm\ntjFjxuxAYO5eJjJMsWgOEDnaBX5bhEhrDkmYPXu2ryVDhAQs4YMtViBSTmtign3ooYf8urJp2miX\n1IkWjG8a7QdNHTJlkUBaSDRf+sALMyakHRSuI2c1pmJIH9M2hBkWzplF8y9WwIz2oK3HsVgpth11\n6T787Wi+TtgKxpizkEHbZVHlyJdrsFjwGWIOn3qFBszzKhECSSEgAk4K+QLrJdBkwdOz7awR25uK\nsxUzpNtH9sqm1b52xb0QsBMmMHybEBAkQzAKJjwmKojq+OOPz0q+rgzeM5l5MQHzguTQWpkUOREI\ngunsmbDZP5zLjBwsP/w3mg3beWj7ypUr/X214Wv4zKSMyRotHW0YDYfFRTDymfbxYqEwbNgw/1o0\nKjDgXvb5QrAsMrKRPeZsEokUKxACGj0HNaDFSfIjwHPK88uijBfPFH593CBYI0g5GjbpY2FAY85E\nwJlcNPlboSuEQDwIiIDjwbHspWA+/XKHT6xRw2gEfOAXGtrUv863K68ZV9s2CIhtNJASwoTkcjAz\nec3x9rpiko3DJwa5oznyQgNFK2afLvXjV3W/hSfL2sZm+QNzNPejOUKAmIiDZTAZo8VD0Gg3+Lud\nvzXT3uK+ffv6NZHOkkQgkDKTOFox7c6WHhNyBzMItBTBkkBAFoF1hURTl1JnXb0XywREy6IHrRfr\nBM8qh2E4fzyLSRft7vrJghD3COMVXPyhAbODQCIEkkJABJwU8gXWC3m0bLI1kUSUW1vubL7ZDVMs\nfjCIhYhiSNhpgsHAFLQ+PpO1KW5xJAgRQlz45F588UV/SxOLAHyomI2jCj5stgUx8aJdY552fcTk\nTNm8I/QbTYm62c/LZyd8D9kibKdyuaLBBwLv06ePbyVw1wffIUzM6kHyD/4e9W+IBJJ/+umnfa27\n1PKi1lvXrkNTxf3Ac0LMAYKVgnEmKMs907zzjAXdCowzrgIWZGjMTvieF2UwDhIhUGkEcjsTK90a\n1ZcVAbS+VRs9Vo0o5Mdt1Ggne/zxx/2tGiS2QDNwExXFQFoIhOW0Sf+LMv6D1sE5wEQ3DxgwwNdI\nMMFOnDjRN8W6fM35mkDbIWFMxpAwJkYOSmAhQbnghaDFMiGjcQe1H4iOzwRjgUtQE0JTorwgVuH2\ncA5tHJYCyiVTFu0hTaVkRwQYH3Kao8kGc4WzYGQBxQKM54BnAsuLi3QPlgRZM6Zh4R6ZocOo6HOl\nEFAUdKWQLrEeJptxN99m/fb9cIfo50xFz321xjr2Osu+c8bZ/uQE0UAsQVLBL4o5Gm0OYoT80CbQ\nCNBag4SVqY5Sv6NOtuFgUkSbxARM8BN+Y0iTPtOObMJky55f2otfGA0WDReyxT+NuRuhH/iFMYG7\nyZa6uZ/6qYugtKB2DCFSXrY9vvPnz/frcUSfrY1Rv0djI8UlBz3k6nPU8urLdTyv7PVlDEn3GRY0\nWGeOJp84445VJWxJgGjxHfNb8LnmmaeMoMYcrkOfhUC5EJAJulzIxlwuhNH36yfb5OevttG9ch9W\nsGlzjU14ob3d9ONTffIlCpkXJjyiQZnUmHTQQqdPn+5rFkT5YubGTEfwFKQGITG5MXlBkGgZEA6a\nX9xRuxAdL9qGD5c24DfGRw3JEnxDmzMJGhJkyr2QKZokOYI5NIL+kUAETZjJ1/kK+ZsFCN+T3Yt7\nEcgPcyWLAkzdmYT6qCdOny2BQowB1gA0eMlWBHCb8Byi5WYTFlZowi6eIdN1PB9o0GjBwW1j/L9y\ni7JM9+k7IVBOBDLPaOWsUWUXjcA5Y79v3z55tu264Fk74aDMwViQ739ObW6jz754u5SMRPRCPpht\nITiIhsAjJi7IKpMwMXEPWkI2cmYCg4wdOUNafFesoLmgxfBiEYBmiuaCZkw0M5NnMCoZkuZ3tpug\nsRLJjEbPdwRsEeVNQg36DOESuINAspAupmQWJQgLDUyc2bRe/yLvH1JTUl9Qk3K/lfLOtqSpU6f6\nJIHJNO3CuLHQ4ZnNtvgCo6Ve5D4LqnwCplgZggTMmGN5kQiBJBBo4K0ut0WlJNEC1VkQApDMET27\nW68vrLITDlhrXT7fwDO3NbANm2ps/tItNu2VjtZv2Pk29oKLtisX/ygBLC6vMmZe9tUOHjy4KMJk\nYoScMVlDziQ1oG1Oc4agmNwgZ8x7mJNL0Zzx60HGkB8kizbDPl+iW5mAIVsikokWR4vnse7du7f/\n/UUXXmBPz5lu3b04r7ZNVnm/NbAVm1rby+82sgMOPcYO7dHTbytYRNHsCeainy5D2HZAl/gB0zYa\nHdaJNAspTxnXb3zjG3mfT5Jz9PEC5ngm8omL9HeuA54rYiA42UoiBCqNgDTgSiNeYn0Q29PPvWS3\n3XaLXTv+Rvv0kw1+Osqahk3tkJ5H2U+uO2u7Pb9Uh/YIaXEeLQJZQr4EQxWrrXIfr0zaIgFNRBE7\ncuacXDRSSAtTIGZt+oFZ25Ez2i2EnU0wL7pkH5QH0bIlxRE+5XMmMGZn6sZ0yWEOV1/5E/vkrdl2\n/bC11naXoNVgua34qMa+eeNd9sHyt2z8pOmRI2EpH59yOYTMYhAwY0ZwVhqFvoMB+9HzPZ9YMFhs\nRSFfsGQRyiLOETDls5iUCIEkEBABJ4F6iXViNm7ValcbfeYP7PTTT89ZGmZkNEdW+C4wheQT+BwJ\n+CmHoEXyykXOmLXZ1+nImSAxJEzOTJSYtYPkTNt54S/FBI3gy+VFNDVa/imnnGLnnXuGPTB9ss29\nrJFP/P6FgX/at2pgD3qGgvMmPG2333aTnfPdCwK/Zv+Tdsfp/w3XRM5pdxJUsN/h6+rjZ1wFPK/4\nwbGa5BO22RWSjYznBmzx8fP/AVcM7zx//L+SCIFKIiACriTaMdWFzxJiZTLJJ5hLmaAcYWDaQxvG\nPJuE5CJnZ9Z25EzATCbNGX8zGjEarxMSMLjj5TAzsm3lrf+dZ4/+ODP5uvt2atTAfj18k10y8U82\nYuQ3824twl9IPbShXIKWhkUAH305zNzlanep5TKeWGZ4Nul/FEEDLmTvOgs8rC6Mo9OanRYsAo6C\nuK6JEwERcJxoVqAszG2czMM70cG5BFMbZD106FD/MoKT0Bgw7WEKrjZhIuSVTXMO+pzpCxqvExYV\nYAI5YtpevOglO7TDe9a8af5+ttq5gXVvv9xP1EHATy5hURBFM8tVRpTfyJBFQBb+bEcUUe6rq9fQ\nT7aS4RZxi8V8fcGVgguiUHeA2xPscGVRyILWmaXz1avfhUBcCCgRR1xIVqgcIkOJaEby7RdF22X7\nEWZMJiq0YfyKdXGiYZLs3Lmz334Cbk444YTagCk0FzQbF5WMD/qdN/9p+7XbataOMjR777rWlry8\nNUI61/VgH1U7y1VOvt9YiLD1ijGs74LFg+caTZZguqiCuZrFEIuuQoRgPepkXzzC/49gIpZCytK1\nQqAUBKQBl4Jehe8lmxVRm27PKvtRswmmPCYmdwgDfl+IN1tu42zlVPP3+O7w5UHMTMSQsJPXFv/D\nmn+aX/t117fw3H/vrv/Ifcz6TsS3C2bLelFMP1APZlmSpRRiZo2p+ooUA/ERMEfyFMayEMEaEdyS\nFvVe/l+wbYn7sSKx2NFWpKjo6bo4ERABx4lmmcvCTBfcD0mUcSbBNId24DIHEVXKRDd8+PBMl9fZ\n73Jt1dm1nXfW8ZLoXVu+rpG177pXzhsIvmLxk+lowpw3FvkjbgJMsgSbsXc1uMAossiquo3Ap5kz\nZ/o5nd32uKgNRHtlPCDuYgQzNMFeRLQTcY0Lg4QtjG99+39SDD66pzIIiIArg3MstYwePdo3SRI5\nDBE7U3S4cCZsArRcticOPyCYJ0je4Xvq4me0fAK3CMhy5nh83H7ykDUb7OW329px3TIvUsL9fead\ndvbDXkeEv97uMxM0/uVKCv5wMnuR0xvffX0RrDdYdLBcFLMHl0xpuCWKiRJH82UsKQPidcIitT5Z\niFy/9F69CIiAq3dsdmiZ81VhqmOiCAYhuYtZzaMZc8Ytkxy+NbJKlXpsniu/mt7REEkoEhZwGjNm\njP186Uv25CuzrfeXc/sIJz69xd7f1M6PwAVT/OTOnxwsu1L+32Cd/M3iiQMnqL9S2ne4DXF/Jkqd\nxUy2LGz56oNAXRBVvmvDv0O8TusN/kYsQTEm7WAZ+lsIFIKACLgQtBK+FrMbPkjMkRBEmCQgXLRC\nCARzJX5f3ivls6wkPC77FiRM9DOCRkTqSaJo8Q//7Fd/sNHD+nmR0G9bj70zxxs+9OJndum9m729\nodf5yT3wt/Jiqwo+c/yDaGlgTuBOufZO58IOoqJ+ooRdRHuu66v9N3KS86xylnMxgpkY03GhZmtX\nFxo3OwQQ2oH1hIUXvmHGWiIEKoWACLhSSMdQD3tic5ndOFMWwiVFI5mi0JiGDBkSQ83VUQSR3CTe\nIDAJcyHRyJATvkCkjxcdHdSK0GamP/IPGzWkvz3rmR2P2HON7dGaQxu8gKsPa+zJ11vZopUdvMn4\nId8PSUAOmhkCwfNCIHP25pJqM6kczSyi0No44anQYCW/E1XyD3u0GTtSTBbrEkH7hTSLPQ6S8SRR\nC5nUIGIWsizi+J4MbRIhUCkERMCVQjqGeph4shEAZmcmaPyEEAdJ50ndWIyPLIamxlYE2g5mZl5o\noGimaKFs0WHiJHcyByxgcs90Gg5ZtKbPeson1idmT7P3Xlvq7Y1eYV/uerAdfGI/6+lpuA5T3gnA\nwdyLZuQEIidKlsVPsaThyir2HXIgIAst2FlAii0rqfvYv04gIeRbStKLpV6O6CiHL+TqJ9ouGvh9\n993nb0diXIP+4Fz36jchEBcCIuC4kCxzORARBESChkxC4BVEgdl02rRpvhm2Lvuz0EycFs9kTTBS\nH0/DhQSDQu5kXrkEMzIR0y5q+uabb/ZJHCL761//ut2t4Ef0uDsGjx8J7II4kva/Mp5YAMiQBRZ1\nSTjwAN8rC8TwGBbaDyw7uBpKFZ4rtnfhtsH0zBY/iRCoJAIi4EqiXUJdTF6Yl9EAw8KkTDQwkxuT\nM1JMZGm43Ep/xq/H1hCivDEJopFyDmy2c3mLaR/l4jcmQximXBY2YcHc3NnbW4ypGzLG8oD5n3eX\nrSkpTRirxowZM/yjFSuRECSMTTGf2RIHARNMVqqPlSMlsU5EzZaVr70EKJIbGovRG0u807ZeX2y7\nd9zben7lcP/5QFOWCIFyISACLheyMZeL2S1T7mcCs9jn26NHD5+4uI4sUXVF3GERkBs+XvJWo91k\nSkcZR58wM2LOpV4m10wETD3kI8bki4+ZtoAr/kEWO2jE+GTxtVdanAmehQDHJ1a7MK7PPvusf85y\nqWZj+oorIs6Fx223jLMZE67zUpGusN7tNljzFWbL32hkv5nSwVp27GFXXXtzxkVvteOu9tUNBETA\ndWOcfI0t0/F0aLwcDAA5Y3rGHJvJF1pN3USDwbyMzxqzH1oR26pIQ1hujYMAIDRg2sB+0GwEHIwy\nRyPH+jBy5EhfQ0dbIkUk2joaaTDwqxI4s9jCd0n91bxvFVMxrhHaG9eCisMX4urzpT+6wF544k77\nzdCNRj5ws23a7hB7z+6eN92zvky1Zcveqpfb+CrxrKqO3AiIgHPjUxW/cvAAJs/wyh8zKr5Sgloe\ne+wx30eJSa1aBZMuplzaTXAYPk32gUJulRKSdKAFY4pmERAl8AYCdqZTJn+CwMirjXaHr5jFD0Rc\nqm8zKgY8C5AaQU1kggpvR4taTjmvIyiQbXDdunXzg8biqAs3C684toLdfdcdNuWem+2BC2uME7Ey\nyegjGtquO9fY98891e6YNLOkwLFM5es7ISACrgPPACbPTIk0IAG0RsxymFQHDhxYdb2BbNHUCGJC\nu8V3x/5NR2iVbjBYOa3XbTNiD6jLpJWpPfTBRUrzO8E7ffv2NbQxNDz6NnnyZJ9o6Fu5tXjaAAmx\ngGDrWbX5+7EysNeXNkLAcQmLN56bUv3vpMCc+Odr7a6zspOva/MJBzeyf81Z7G9ZOvHEE93XehcC\nsSDQMJZSVEhZEWCiDx+5RrIIiANCwy9JVGypE1NcnWACxkR777332qOPPuoTHu0bNWqU799NinzZ\nL4w2S1Q0ZmhM9bw7Is7Wf37PFPTDouikk07yI2kph2CjiRMn+uORraw4v0frRgsneK1aBHJjLzVm\neXzocQrWnuBCqNiy+b/Tsfkqa98ys+YbLvere66yvz56f/hrfRYCJSMgDbhkCMtbAH40JDjxEKxE\nfufDDz/cj+DELJr0FhmCwVgI4NeFgEmSwElMhRwvV14kzfeVsxWJhQo+VIKYJk2a5AdlZasbcoNc\ncyV9OOSQQ/x9yWxpYr8wpmG0U4LJyjkuLGQw46OFV0NAFn51DldgYcOCK06hbOIFis2eFWwLi7AO\nO29NshL8Ptvfe+zawN5a8Gq2n/W9ECgaARFw0dBV5kbMbmHfLxMuhMDWJKJ0IYAkBFMupEuEMHuU\naQvZpIgOzmXSTaKtrk63jQu/KRM6EdFYErIJ/neC3PIJPm22TKGRov2zCME/jJaMporWXQ7p1auX\nb2lA+2Zfc1LCs4Dmy+KG7UZxC24YMIzLz96owdb0pVHa2Uh2wigw6ZoiEBABFwFaJW/B/BzM5Uzk\nLlqxSzeZRG5gNAiIF22PYCa0XLbtxDU5VgJfCBiTNP5azKbZBKzZGhVViPZlHzHJHVg8EfQ1ZcoU\nnxwJnILw4xQIj+eDyGzcFEm5IXA1QJA8B3H3EbxY5GWKg8iGJRYZUofSJocJ3zHm7CVe9hEpJz/J\ndvt235O2tEPHztt9pw9CIA4ERMBxoFimMogkhRw6e0khnKBdYXYksInJrlIRxGiLmL3d1h0if4lg\nLoScXB+q4R3c0FIh4FwaMP3u2rVrQU2GgNBMSZdJoBzWATQ4osDZSha3psoCiAURz8bXvva1gtoa\nx8WY3sFp0KBBtWQXR7nBMljIFGLp4Vllfzx7txljTNi4boh6h4j/taqlfbj+Q9u1RX4/8Nyln7Mj\nRw8KNkd/C4FYEBABxwJjvIXgd8Skh4mZLFBOoyChARonmifaTqbAoDhb4nzNmFWJsoZsCaxhAVDX\nhYk5HwHTZybrYvf54gslKQqaMBoqwhhClviH41y8kKIUEzCLhUoGuaHpsygjQrhci0HKh0TDrphc\nzyBWCA6uYIyd4BZh8YPFoFmTnez3911mlx+/3v2c8f2Z17fYog//w66owh0GGRusL+sUAiLgKhwu\nUuOx35HJn0mcSZuJAz8fvl9Ma3Hkws3UdefXRWNDq6F+NDleTIL1RTBN5iNgFh6Y1d0CqNi+o6Hi\nGyd7FWWCsfMPQ5xxnMDDc4GlBI27UttlIDi2deH7xv9fLuFZjLpYAV/ahOvGWTZ4bllE9fECwxzW\nY848256YPdP6/HKWzfphI4+Qd9SE57zymd3yXCeb8ejDZfPhlwszlVs3EBABV+E4sXrHfIagDfNy\nZ9TyN4k34hYmLiJ38Y8xSeHLrHSSjLj7lKs8CJj9vfgH3UQdvp5JPK481NSDywB8CaJDG1u7dq3v\nH4ag0cpKJXqi4onqhoBI0FFOQavnFCr2Q+eKEI+jDVh8cp39S6AcfeY6R7Y8u2jO5KAm8I6c3s4X\njBXpiSeesD7HfsN27/AF+9HMx6xnh/dsr7YbbZemDex9L0D6+eUd7OMW+9vdU/5Y9v7FgZHKqJsI\niICrcNxcpG6waWhN+IRZyUeJyg3em+1vyODll1/298ay1QbiTzJJRrZ2luN7MMS/TlIN/IOZBLw5\nLSdOwYxK4BzaI4sqNGwWP2zfIo1oKcQJweAnxdyNm8ARTpztpywIj61WaO/FmuejtokxYIEUdnvQ\nBlw0LJJYuNAOFgPBfNMQLXuHcQM4LHCrsADCH88WsTOv/5P//D855wlb8vJ827B+re325b3stDG9\nfT++uy9qe3WdECgEARFwIWhV6Fq3hYfVPBNAMEqXVX4ph7JjdiWAiwmMcoksJZNScJ9xhbqZaDUQ\nMCZ+8M1EwHwHVuXChZOYIFtMxk7TxtXA2EBsxWrepCLFVYFvthxuChZtBF2xUAuTYjkGFE3badho\ntHzm/wBCIODRRx+ddREAGbM/2gVgQdgEZxEJzcJrwIABteWc8s3R3t+8JEKgcgiIgCuHdeSamCAQ\ngqwgSicQM5NRoRowREPgD6t+yqYMUgRCAKWaPV3b6to7vm00Kwg4kwkazQlTfLkCi8CLstkzSypL\n/MOML6Zx0jii0UGgzmdZCL5EQhOQRYKWTNaUQsoKXktMwCOPPOKXG3ckd7Ce4N9sP2LL2IQJE/yv\nwQVTPuQbVdg2h9bLgtPl/iZJTDnHNmrbdF26ERABV+H4Q5SYhCEHN2GQ6AEfXzglZbbmY7ImeIVV\nP1oLQTIE6TApV2Py/mz9KNf3YXzD9UCKbdq0CX9dls+QChm6MB2zUMJMjanU7R/GP0x7owoLLNwJ\nkE5cR1MSFMjCgGCyTKdyRW1blOvAHk0X4qRennn2UBdrjSCAC1M/Ue0Iixz6IRECSSMgAk56BLz6\nIVk0LvY6QpQkf2DyhzydEHgV1HwhWLQDJu/gSh5zJn5d3iFatGgyMQXvdWWm/R0zJNiDZVgYi0pP\n0hAt0eZuXy0mXiwgLKT4rZBTgNCeSbdJcBIkhpYPiRUjWFDQqDHpsggshzjS5bllPHiuWUSwhxrf\nbimCFQFLAGXhF+ZzOaO2S2mr7k0XAiLgBMebyX/SxHts8t1/sMabP7C2zTfbhs0N7eVlH9uBhx1l\nXzrgUN8XyDm0rNqdcN+MGTN8HyWTE9oxvkN8ZPi7mLyI+ixnHmLXlrr87gKwmJTDgqm+3Pusw3Xy\nGU3t+OOP990FBDrRRhYC+HRZWLGYcj7RTPe779ziiy1tuBkK2UNLGWigbnFHfmfahb81TmGhSeQ9\ni080fAge/zfEizzwwAO1f5dSLzsKIHb8wQS+4X6QCIFqQEAEnNAosMq/6Lzv2Ja3Z9lFPdZYx9bb\nTIwbNtXYAwtn2MUX3+tpMK9tR75oMqT9wx/n/nYTLBpOpbW2hOCLpVo0IUy9YYEYCICL038ariPf\nZ7RfFgAcN0hQFX9DUmii+D/RcIOWj3B5nA+NCZfnjBdabFRhEUe9kC7PFi8XsBS1jGzXsfUL0kXj\nZSHpSBf3SFD4DY211KMWiS5nccqCFKtS3IuIYJv1txAoFAERcKGIxXT9d04daa1We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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "\n", "options(warn=-1)\n", "install.packages(\"igraphdata\", repos = \"http://cran.r-project.org\")\n", "library(igraph)\n", "library(igraphdata)\n", "data(macaque)\n", "plot(macaque, layout=layout.auto, vertex.shape=\"circle\",\n", " vertex.size=8, edge.arrow.size=0.5, vertex.label=NA)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gPgEKYAMZQyWdnZ2tomu5Uu0HH3wgW7ZsURbJ2It9+eWXpaGhwemlyB9846U7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\nnLpPln+WL59uzpLS8jh55IWxkpXWIgvmlmpW1ZUSNjB+hFO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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "library(ggplot2)\n", "ggplot(mtcars, aes(x=wt, y=mpg)) + geom_point() + geom_smooth(method=loess)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Converting between Python and R" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%R -o mtcars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `mtcars` is now a Python dataframe" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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Datsun 71022.84108933.852.32018.611141
\n", "
" ], "text/plain": [ " mpg cyl disp hp drat wt qsec vs am gear carb\n", "Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4\n", "Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4\n", "Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mtcars.head(n=3)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = np.linspace(0, 2*np.pi, 100)\n", "y = np.sin(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### We can also pass data from Ptyhon to R" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8cA7FPwj899fHP/rNXnqJABQsrCRYGIZgKtSY3nP9YTK+d/1r/Ni5HsN7KLB0jr2qUMaw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\nwfujR4/Kr7/++p9oWeEsnpe9hMCsWbNk1KhRGo87cuTIgnC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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -i x,y\n", "plot(x, y, main=\"Sine curve in R base graphics\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matlab\n", "----\n", "\n", "There is a similar interface to octave if you prefer open source." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting MATLAB on ZMQ socket ipc:///tmp/pymatbridge-054aea7d-c8d5-4d2f-8e0f-fd11618a184f\n", "Send 'exit' command to kill the server\n", "...........MATLAB started and connected!\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/cliburn/anaconda/envs/py35/lib/python3.5/site-packages/IPython/nbformat.py:13: ShimWarning: The `IPython.nbformat` package has been deprecated. You should import from nbformat instead.\n", " \"You should import from nbformat instead.\", ShimWarning)\n" ] } ], "source": [ "%load_ext pymatbridge" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "\n", "M =\n", "\n", " 17 24 1 8 15\n", " 23 5 7 14 16\n", " 4 6 13 20 22\n", " 10 12 19 21 3\n", " 11 18 25 2 9\n", "\n", "\n", "ans =\n", "\n", " 13.1263\n", " -13.1263\n", " 21.2768\n", " -21.2768\n", " 65.0000\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%matlab\n", "M = magic(5)\n", "eigs(M)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "n = 9" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### As usual, we can pass data in and out" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "\n", "M =\n", "\n", " 47 58 69 80 1 12 23 34 45\n", " 57 68 79 9 11 22 33 44 46\n", " 67 78 8 10 21 32 43 54 56\n", " 77 7 18 20 31 42 53 55 66\n", " 6 17 19 30 41 52 63 65 76\n", " 16 27 29 40 51 62 64 75 5\n", " 26 28 39 50 61 72 74 4 15\n", " 36 38 49 60 71 73 3 14 25\n", " 37 48 59 70 81 2 13 24 35\n", "\n", "\n", "v =\n", "\n", " 369.0000\n", " -118.4141\n", " 118.4141\n", " -63.0069\n", " 63.0069\n", " 46.4758\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%matlab -i n -o v\n", "M = magic(n)\n", "v = eigs(M)`a" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 369. ],\n", " [-118.41407217],\n", " [ 118.41407217],\n", " [ -63.00687636],\n", " [ 63.00687636],\n", " [ 46.47580015]])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "v" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HAMaA4UGRE3/6Een8KLAhYMxdL/ydJyREUGQUImtYHJAQpmLfADBgeFBgfTr8fR6sNPhg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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%matlab \n", "a = linspace(0.01,6*pi,100);\n", "plot(sin(a))\n", "grid on\n", "hold on\n", "plot(cos(a),'r')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "**Exercise**\n", "\n", "Wrap the rnorm and dnorm functions from the R standalone library `libRmath` using `cython` instead of `ctypes`." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }