From fd2a80132764ef2af043a3d5aa777df2b1dfcac5 Mon Sep 17 00:00:00 2001
From: 58c2dbd87b028aa121fc08e543180879
<58c2dbd87b028aa121fc08e543180879@app-learninglab.inria.fr>
Date: Tue, 24 Oct 2023 09:33:48 +0000
Subject: [PATCH] Module 2 exo 1 fini
---
module2/exo1/toy_notebook_fr.ipynb | 138 +++++++++++++++++++++++++++--
1 file changed, 133 insertions(+), 5 deletions(-)
diff --git a/module2/exo1/toy_notebook_fr.ipynb b/module2/exo1/toy_notebook_fr.ipynb
index 0bbbe37..d46c0e3 100644
--- a/module2/exo1/toy_notebook_fr.ipynb
+++ b/module2/exo1/toy_notebook_fr.ipynb
@@ -1,8 +1,137 @@
{
- "cells": [],
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#
toy_notebook_fr\n",
+ "## March 28, 2019\n",
+ "### **1 À propos du calcul de $\\pi$**\n",
+ "#### **1.1 En demande à la lib maths**\n",
+ "Mon ordinateur que $\\pi$ vaut *approximativement*"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "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",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "3.128911138923655"
+ ]
+ },
+ "execution_count": 3,
+ "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",
+ "Sinion, une méthode plus simple à comprendre et ne faisant pas intervenir d'appel à la fonction sinus se base sur le fait que $X∼U(0,1)$ et $Y∼U(0,1)$ alors $P(X^2 + Y^2 \\leq 1) = \\frac{\\pi}{4}$ (voir [méthode de Monte Carlo sur Wikipedia](https://fr.wikipedia.org/wiki/Méthode_de_Monte-Carlo#Détermination_de_la_valeur_de_π)). Le code suivant illustre ce fait :"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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",
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+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "%matplotlib inline\n",
+ "import matplotlib.pyplot as plt\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",
+ "accept = (x*x+y*y) <= 1\n",
+ "reject = np.logical_not(accept)\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",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "3.112"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "4*np.mean(accept)"
+ ]
+ }
+ ],
"metadata": {
"kernelspec": {
- "display_name": "Python 3",
+ "display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
@@ -16,10 +145,9 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.6.3"
+ "version": "3.11.5"
}
},
"nbformat": 4,
- "nbformat_minor": 2
+ "nbformat_minor": 4
}
-
--
2.18.1