{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. À propos du calcul de $\\pi$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.1 En demandant à la lib maths\n", <<<<<<< HEAD "Mon ordinateur m’indique que $\\pi$ vaut *approximativement*" ======= "Mon ordinateur m'indique que $\\pi$ vaut *approximativement*" >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 ] }, { "cell_type": "code", <<<<<<< HEAD "execution_count": 1, ======= "execution_count": 2, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.141592653589793\n" ] } ], "source": [ "from math import *\n", "print(pi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.2 En utilisant la méthode des aiguilles de Buffon\n", "Mais calculé avec la **méthode** des [aiguilles de Buffon](https://fr.wikipedia.org/wiki/Aiguille_de_Buffon), on obtiendrait comme **approximation** :" ] }, { "cell_type": "code", <<<<<<< HEAD "execution_count": 2, ======= "execution_count": 3, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.128911138923655" ] }, <<<<<<< HEAD "execution_count": 2, ======= "execution_count": 3, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "np.random.seed(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": [ "## 1.3 Avec un argument \"fréquentiel\" de surface\n", "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 $P[X^2+Y^2\\leq 1] = \\pi/4$ (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", <<<<<<< HEAD "execution_count": 3, ======= "execution_count": 4, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "metadata": {}, "outputs": [ { "data": { <<<<<<< HEAD "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "output_type": "display_data" } ], "source": [ "%matplotlib inline \n", "import matplotlib.pyplot as plt\n", "\n", "np.random.seed(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": [ "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", <<<<<<< HEAD "execution_count": 4, ======= "execution_count": 5, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.112" ] }, <<<<<<< HEAD "execution_count": 4, ======= "execution_count": 5, >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 "metadata": {}, "output_type": "execute_result" } ], "source": [ "4*np.mean(accept)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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", <<<<<<< HEAD "version": "3.6.4" ======= "version": "3.10.9" >>>>>>> 7e8841b694ad2d15a27c499d9ba1c34b8cda2f54 } }, "nbformat": 4, "nbformat_minor": 2 }