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@mlaloux
Created September 7, 2014 20:13
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{
"metadata": {
"name": "",
"signature": "sha256:0b394a0bc901922d8ea8b50ebe36fa9d21dd967e81b22f0e52be0904ecc2be47"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###Chargement de l'extension Octave magic"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%load_ext oct2py.ipython"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###trac\u00e9 d'une fonction 3D complexe"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%octave -s 600,200 -f png\n",
"\n",
"subplot(121);\n",
"[x, y] = meshgrid(0:0.1:3);\n",
"r = sin(x - 0.5).^2 + cos(y - 0.5).^2;\n",
"surf(x, y, r);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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krvcE8s1G5ZAZDh6+kuNnCAClE55lcTwVrflJHDNHPHYKByB6FPYdIAAmjhN0G6mTEj0j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\nCKGIhkGIEEIoov0fx2noWj0tlqUAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Transfert des variables Octave \u00e0 des variables Python"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%octave_pull x y r"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###Chargement de l'extension R magic"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"load_ext rpy2.ipython"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###Transfert des variables Python \u00e0 des variables R"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%Rpush x y r "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"###Trac\u00e9 de la m\u00eame fonction"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"library(plot3D)\n",
"surf3D(x = x,\n",
" y = y,\n",
" z = r ,\n",
" colkey=FALSE,\n",
" bty=\"b2\",\n",
" main=\"fonction d\u00e9finie dans Octave et trac\u00e9e avec R\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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1+W7WCLz11lvy29/+1gwfwlz6ta99zRBGz549y75vCLiQ6SMLKShMMveWV6wP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VAL72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\n2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ojqBagbr6tQgTmfYtdm3bSz/D6s73OR4qUyqQ+TbBgcymL8JOgW5GfYAKQj5rj0w/q2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hUD4IPPDAA+aPf/yjq2ecpDED6UUELeFLhbi//fZb14mJ4heVQFJ0ONp7771dLi9docIEDfmC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\n+ZVzfwq3CNQAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
@Ali12345678910
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