From 842f42813803412c3c173b70ae17c9716211bdc9 Mon Sep 17 00:00:00 2001 From: 0a35d458c4dfeaae90cc26c29bebf511 <0a35d458c4dfeaae90cc26c29bebf511@app-learninglab.inria.fr> Date: Mon, 11 May 2020 14:36:14 +0000 Subject: [PATCH] Exercice avec calcul de PI --- module2/exo1/autre.ipynb | 286 +++++++++++++++++++++++ module2/exo1/toy_notebook_fr-Copy1.ipynb | 286 +++++++++++++++++++++++ module2/exo1/toy_notebook_fr.ipynb | 214 ++++------------- 3 files changed, 620 insertions(+), 166 deletions(-) create mode 100644 module2/exo1/autre.ipynb create mode 100644 module2/exo1/toy_notebook_fr-Copy1.ipynb diff --git a/module2/exo1/autre.ipynb b/module2/exo1/autre.ipynb new file mode 100644 index 0000000..4c84f9b --- /dev/null +++ b/module2/exo1/autre.ipynb @@ -0,0 +1,286 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pi d'après Python :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.141592653589793\n" + ] + } + ], + "source": [ + "import math\n", + "x = math.pi\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Calcul de PI par méthode monte-Carlo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On commence par générer des paires de nombres aléatoires qui seront les positions visées" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "def combinations(lista, listb):\n", + " combs = []\n", + " for i in range(0, len(lista)):\n", + " combs.append((lista[i], listb[i]))\n", + " return combs\n", + "\n", + "nb_points = 10000\n", + "x = np.random.random_sample(size=nb_points)\n", + "y = np.random.random_sample(size=nb_points)\n", + "xy = combinations(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On vérifie visuellement que les données ont bien l'air aléatoires :" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "plt.plot(x, y, marker='o', linestyle='none', markersize=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Itérations de monte-carlo :" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7867 points sur 10000 sont dans le cercle\n" + ] + } + ], + "source": [ + "nb_in_circle = 0\n", + "for point in xy:\n", + " if (point[0] ** 2 + point[1] ** 2) < 1.0:\n", + " nb_in_circle = nb_in_circle + 1\n", + "\n", + "print (str(nb_in_circle)+\" points sur \"+str(nb_points)+\" sont dans le cercle\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Affichage des résultats :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "pi (monte carlo) = 3.1468\n" + ] + } + ], + "source": [ + "pi_montecarlo = float(nb_in_circle) / float(nb_points) * 4.0\n", + "print(\"pi (monte carlo) = \"+str(pi_montecarlo))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Essai R" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext rpy2.ipython" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(cars)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Persistance des variables ?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1] 1.5\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "1.5 -> test\n", + "print(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1] 1.5\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "print(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Error in plot(xy) : object 'xy' not found\n" + ] + } + ], + "source": [ + "%%R\n", + "plot(xy)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Oui de R à R pas depuis python." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/module2/exo1/toy_notebook_fr-Copy1.ipynb b/module2/exo1/toy_notebook_fr-Copy1.ipynb new file mode 100644 index 0000000..4c84f9b --- /dev/null +++ b/module2/exo1/toy_notebook_fr-Copy1.ipynb @@ -0,0 +1,286 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pi d'après Python :" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.141592653589793\n" + ] + } + ], + "source": [ + "import math\n", + "x = math.pi\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Calcul de PI par méthode monte-Carlo" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On commence par générer des paires de nombres aléatoires qui seront les positions visées" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "def combinations(lista, listb):\n", + " combs = []\n", + " for i in range(0, len(lista)):\n", + " combs.append((lista[i], listb[i]))\n", + " return combs\n", + "\n", + "nb_points = 10000\n", + "x = np.random.random_sample(size=nb_points)\n", + "y = np.random.random_sample(size=nb_points)\n", + "xy = combinations(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On vérifie visuellement que les données ont bien l'air aléatoires :" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "plt.plot(x, y, marker='o', linestyle='none', markersize=1)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Itérations de monte-carlo :" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7867 points sur 10000 sont dans le cercle\n" + ] + } + ], + "source": [ + "nb_in_circle = 0\n", + "for point in xy:\n", + " if (point[0] ** 2 + point[1] ** 2) < 1.0:\n", + " nb_in_circle = nb_in_circle + 1\n", + "\n", + "print (str(nb_in_circle)+\" points sur \"+str(nb_points)+\" sont dans le cercle\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Affichage des résultats :" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "pi (monte carlo) = 3.1468\n" + ] + } + ], + "source": [ + "pi_montecarlo = float(nb_in_circle) / float(nb_points) * 4.0\n", + "print(\"pi (monte carlo) = \"+str(pi_montecarlo))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Essai R" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "%load_ext rpy2.ipython" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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2FXSgeSG7FvOLcRndHQFVV35Jc9Hc668yGZrJ8zkMcasyNHar1KyYZlA6inC6DnafF3ffey4imgedlNlpIn95R+66s8D189opRuWjhGbBR1zUPnLEcwXhQ/QU6bt62eb2Ct2OTuWsNFH4xKLBoFlwtTrPStzz7LOeKwgLLu/vaBO5133JrLD2zy8xKh1FNAve+vfRNxmr472CsGDpqtCzEmvFefHFvINC+9/g4jENN4WcYOvA4yQrO7pTbe+lEGwK+JxFL0zyXgbBpgCPC31QKGTi0SJDng9DsBcHo1s0HsRd8enmCbGddRiq4gkEe1IivyT94WTeYZseZGz1q7yj+geCPflxMLs9CThHrr0gtxi6YgIODJCakiaco+a77sxDsAkobZzDnOPUzbodAK12Mfb5G7yj+oeY4DV9hqq9I3wluUGzKk9us1tE297mfl/qQnuHvZ/4SXW8oCV49Os/74n/TtUm+Q/0+GZwzarP5sWUZzCm6AMpwUXy37j8OFXbDJAHZQ9oJSQfM0BKcLarcoa6M5kEeZLYVV4vHJGBlODSsDLGcluo2masTWo6dBKTkAkgJZjNb7ViYbi6s6yKx58fE1v7hsodXTnm8Re18Ij6MpMXj4uf+4WYYJY1fa7a6o0VE1uOUHmXuLRLyx7h29yXTIrsHTFTXZAbycmvROxXt00QEBOsD+PnM1ZgK7yz4Lue0v8o7X5UFaT/OunaySb8OwzBQRBXKjUp6XcWjNgtNesnqQriOhfsle2vm1YgOAhayH+yB2bcWTBevvZO+1hVEIf85e0ofPYXCA6CJb1L2P4otxGVWXF57Jz9tKogU9+qYFuacc7MGwgOhrl2R6dc9wXbmjia7b1bb984UyMdPYXPJgzB1IFg4kAwcSCYONQFl2fs8XgIm7P9ijGpGANxwWftr71p2+22oKzDS2Mc8w3LR3+IC26XydgVm9uCqbMYq0gwxdh7fSAu2HU/sLPbHYhk+fg880uD0jEA6oLl+4HN3B4G9pTrk72t7q0eS0Nc8LRBJc753dwW7G52me2OVP/s1rLQElw0PqZplXHYznmxjnFVTqO3trD3Pue+4ES3qA5V3hHIHxHdfK37gvKP4+KmCy9wJAhagjvNLy/srW7e/Cu2AyynsduU787mK51X265265IytqR0ohmmJQwGUoKvy29IlkWr2mbhp1LzjVt59mPdpSbf/cWuSLmxm3QEvz9ICT4uu1H5VuUU+Wh88PU7C3aNlBqn486CUtd7uAkGvLTOA1KCK54vYCzjJVXbfP+K1IxOu7OgIKKEsY0D3brE/8rYGd6j0fSClGC21TZ6kP28YhfnzmVVZ6Qb22pC277uC1ZEvt0vPt9twWHbmyNth7glqS+0BLMbW/cpjxApShj0cVLVGctyv/GoqnNtc2bVP7jFu3YWc0nPAIgJ9stE+SrqBTNMA6sToSY4SZ5mf7Y55ywTQqgJ7ntQakZuNzoN/Qg1wYfsPxeviLXqbakgMLHgWVH2Xp4zBmrnp1eajsn3340M5hU87/VStq2JRe8fmQfzltWJk0eEdc/x2w8oYt6yOg75yztI/PA74pi3rM6QlYxdDzdFeTgrY96yOoXJbfradmqL4YOSZdN/ULvN2blzz3BPRCfMXFbnbFap1hBeXLdPWd5jqLpttkR+tijKq6qMRQi1sjop8pP8l35WtY39GmMFjcXkIxwBZXWWPueiTozG1ISQKJ8xzFmsZpPK58GuUjoWhNt1sNfUGOb8Br+xR2oG7vLbz50I6SKwPFxMPsLRXlbHUbeDPEy9hucKcwo+Ebb51IxW6m6fzOt4OKuLyilWTINmwbaUjEn1c0wi+FzbqIjhymdmuSO7zlR77ra1T+/NwSdlLJoF31fB2IYG580hOF66Apo+Wv/9mhjNghvIl6qLG500g+AL7eW2ykt35ft3W/TsiBOaBa+ouUxu61b3XGGA4NOd5dZd8Bn762+Gf697IiZC+1l0rusmzxWvIZlGHKLt0n/NV+6zbrc7IKVm1RNgLpj3caE3RXNHfqk8M9yxuKS4Lu6HZK/RhSGHhQQXRM7Z9W6Sn7n/rlUdV+Y1ujDksJDgVPlVuZT1qraZNrDY+Wk3//3oYiHBPeWXXVe/r2ob56dxUeMtOuiEDxYSnCqPyx+9jnNU6lhIcEHEpz9MaaV5/t2K6zySsQwWEsx+mzl0sebSJePDkhqH0GvRlhLMg8+HOVl+pPg5QE1DqAnuII89/HCl0WnoR6gJds0CnLrG6DT0I9QEr+pVxs5HXDM6Df0INcFsRnh0k1B62TrkBDMWWqNhQlBwaAHBxIFg4ugluDCr8G4dNVCcFVr3HYNAJ8EfRvaNVPccKBDSbL2bDAitcybV6CN4V2cnc76cfvfOQfGrXGJu3ELOUYmhj2BX6bf0lOCD+WTJHKk5q25iu5BDH8FTV0nNOnXFG/3ztXzQP/oq56jE0EfwiagL7GK08q7Uk2/LYTeSeR/4iaHTSdbuZo4EdSO+AuHoi/bYr7lHpQWug4kDwcSBYOJAMHEgmDgQTBwIJg4EEweCiQPBxDGx4BUJjlGhPLKXD+YVnNYp37nMaw5boBLzCo6Xh/V2DqFa3WIwr2DX9BpD9mkLAswruO8Wxm6Gh/TofB7oJThzSabK7a/G9hvTWN2MHMAbnQT36j6zR3eV7z86M7cV+O8FlNFH8Oo3pSZlRfDBQLDoI3i0PGnCbqtWSbc0+gie9ZnUfPFR8MFAsOgj+Gr49pvp4V6TwgPx6FT57NzAhAFnVSUG+GDeymeACwIqn1360UWHZK25AQ4IqHy2fbiL2B7aMgNcEFf5bOknQaYEeCKu8hkEmwIBlc9uAcGmQNx1MASbAggmDgQTR5zgjX+LVeRPDzwogHvvFxG15n0iot5/r4ioD9Su8mtuoHwDUYNgf4gpdjNmq4ioi+aKiPr9myKiXmyrpjcEu4DgIIBgCA4CCIbgIIDgIIBg4oK7nhERdZyQabOWeNVW5cGeUSKiXm6vprdAwWJeiS3UXDjLFyXFIqI6RUzAq/IXK1AwMAMQTBwIJg4EEweCiQPBxIFg4kAwcUQJLq5Wo0aNNnxjlg2tLtcF3tDwwfjzvKPyzvfrZ+63Z3PPtTKqqlxFCT5fm3/MxDG/k1Rcr/192agXeUflnG/u/TsrRjl453orqqpcRQk+Wp9/zEwmq0iLlyTX4HdrsTIq53xz0xjLeJR3rreiqspVlOA9f3Y8HJvNO6qsYsJr0g91eIaWowrId1I7AbnKUVXlKkrw4V5Hbo7wGu2iFVnFyGHSD0+qnfHFX1T++W58MldArnJUVbmKPIsu/QPvEcOyion9pB8ezuEcVYZrvosb5AjI1RVVJuBcRQk+d1g6M739m+OGHHB5JGNn/uhjQLqmqLzzXdVIPnnmnWtlVFW5ihK8/vGT5W/9H++o8n9VQe3NZX268I7KOd+rdU/KH5xzvRVVVa7CDtHvPvpQ/EmuEfNq1JAuAC+wb//6YAt+s4Hcjso33/nVpUvVGnmcc70dVU2uuJNFHAgmDgQTB4KJA8HEgWDiQDBxIJg4EEwcCCYOBBMHgokDwcSBYOJAMHEgmDgQTBwIJg4EEweCiQPBbmQKGG9jNBDsBgRbnZJOf3miY9Hehv0d/0hnbE2jv8Rc+tfHO3X/NgGCLc6yOGfF4J2Z1daz9U+zMw8eZKlJtz+yap2r6AjBFmfHo2tvSkfiWoyVVb80O46xG78vvfUxsxVjGyHY6qTZa75cmFlP+une7En31qtXr9a5Wx8TuzK2F4KtT17M5Mz/cLKb1S4vqqzGeOtjRpL01xiCLc60MU5ntymZ96Sxz/7KLvwpm+3tf/vjQK2zZckQbHEuNX/siTY3Mp8a/HSDnYytbfTUczv+9ZHyyDMfPGF0gvwJLcGVULzcvSsQTBwIJk4oCg4pIJg4EEwcCCYOBBMHgokDwcSBYOJAMHEgmDgQTBwIJg4EEweCiQPBxIFg4vw/C6hxe08+0jwAAAAASUVORK5CYII=\n" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(cars)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Persistance des variables ?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1] 1.5\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "1.5 -> test\n", + "print(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[1] 1.5\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "print(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Error in plot(xy) : object 'xy' not found\n" + ] + } + ], + "source": [ + "%%R\n", + "plot(xy)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Oui de R à R pas depuis python." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "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": "3.6.4" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb index 4c84f9b..009e203 100644 --- a/module2/exo1/toy_notebook_fr.ipynb +++ b/module2/exo1/toy_notebook_fr.ipynb @@ -4,7 +4,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Pi d'après Python :" + "# À propos du calcul de $\\pi$\n", + "## En demandant à la lib maths\n", + "Mon ordinateur m'indique que $\\pi$ vaut _approximativement_" ] }, { @@ -21,245 +23,125 @@ } ], "source": [ - "import math\n", - "x = math.pi\n", - "print(x)" + "from math import *\n", + "print(pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Calcul de PI par méthode monte-Carlo" + "## En utilisant la méthode des aiguilles de Buffon" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "On commence par générer des paires de nombres aléatoires qui seront les positions visées" + "Mais calculé avec la **méthode** des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation** :" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "\n", - "def combinations(lista, listb):\n", - " combs = []\n", - " for i in range(0, len(lista)):\n", - " combs.append((lista[i], listb[i]))\n", - " return combs\n", - "\n", - "nb_points = 10000\n", - "x = np.random.random_sample(size=nb_points)\n", - "y = np.random.random_sample(size=nb_points)\n", - "xy = combinations(x, y)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "On vérifie visuellement que les données ont bien l'air aléatoires :" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" + "3.128911138923655" ] }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "plt.plot(x, y, marker='o', linestyle='none', markersize=1)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Itérations de monte-carlo :" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "7867 points sur 10000 sont dans le cercle\n" - ] + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "nb_in_circle = 0\n", - "for point in xy:\n", - " if (point[0] ** 2 + point[1] ** 2) < 1.0:\n", - " nb_in_circle = nb_in_circle + 1\n", - "\n", - "print (str(nb_in_circle)+\" points sur \"+str(nb_points)+\" sont dans le cercle\")" + "import numpy as np\n", + "np.random.seed(42)\n", + "N = 10000\n", + "x = np.random.uniform(size=N, low=0, high=1)\n", + "theta = np.random.uniform(size=N, low=0, high=pi/2)\n", + "2/(sum((x+np.sin(theta))>1)/N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Affichage des résultats :" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "pi (monte carlo) = 3.1468\n" - ] - } - ], - "source": [ - "pi_montecarlo = float(nb_in_circle) / float(nb_points) * 4.0\n", - "print(\"pi (monte carlo) = \"+str(pi_montecarlo))" + "## Avec un argument \"fréquentiel\" de surface" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Essai R" + "Sinon, une méthode plus simple à comprendre et ne faisant pas intervenir d'appel à la fonction sinus se base sur le fait que si $X \\sim U(0, 1)$ et $Y \\sim U(0, 1)$ alors $P[X^2+Y^2\\leq1] = \\pi/4$ (voir [méthode de Monte Carlo sur Wikipedia](https://fr.wikipedia.org/wiki/M%C3%A9thode_de_Monte-Carlo#D%C3%A9termination_de_la_valeur_de_%CF%80)). Le code suivant illustre ce fait :" ] }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "%load_ext rpy2.ipython" - ] - }, - { - "cell_type": "code", - "execution_count": 7, + "execution_count": 3, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n" 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" }, - "metadata": {}, "output_type": "display_data" } ], "source": [ - "%%R\n", - "plot(cars)" + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "np.random.seed(42)\n", + "N = 1000\n", + "x = np.random.uniform(size=N, low=0, high=1)\n", + "y = np.random.uniform(size=N, low=0, high=1)\n", + "\n", + "accept = (x*x+y*y) <= 1\n", + "reject = np.logical_not(accept)\n", + "\n", + "fig, ax = plt.subplots(1)\n", + "ax.scatter(x[accept], y[accept], c='b', alpha=0.2, edgecolor=None)\n", + "ax.scatter(x[reject], y[reject], c='r', alpha=0.2, edgecolor=None)\n", + "ax.set_aspect('equal')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Persistance des variables ?" + "Il est alors aisé d'obtenir une approximation (pas terrible) de $\\pi$ en comptant combien de fois, en moyenne, $X^2+Y^2$ est inférieur à 1 :" ] }, { "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[1] 1.5\n" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "%%R\n", - "1.5 -> test\n", - "print(test)" - ] - }, - { - "cell_type": "code", - "execution_count": 14, + "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[1] 1.5\n" + "3.112" ] }, + "execution_count": 4, "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "%%R\n", - "print(test)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", - "Error in plot(xy) : object 'xy' not found\n" - ] + "output_type": "execute_result" } ], "source": [ - "%%R\n", - "plot(xy)" + "4*np.mean(accept)" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Oui de R à R pas depuis python." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { -- 2.18.1