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@jeanpat
Last active June 19, 2023 08:21
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# ALGORITHME et PROBABILITES\n",
"\n",
" * Les algorithmes seront écris en [python ](https://www.youtube.com/watch?v=74Im6zOHeow).\n",
"\n",
" * Le code est exécuté dans une cellule de *code* reconnaissable avec son fond de couleur grise et la présence du crochet à sa gauche indiquant son état (non exécutée:[ ],en cours d'exécution:[\\*], ordre [1], pour la première cellule exécutée):\n",
" * en cliquant sur le triangle *Run the selected cell*\n",
" * depuis le clavier, si la cellule est sélectionnée, par **SHIFT+ENTREE**\n",
" \n",
"## Python dissimule des oeufs de Pâques, en voici un: \n",
"\n",
"Exécuter la cellule ci-dessous. Le texte en anglais est un ensemble de conseils pour écrire du code pythonien. On peut le **traduire** [ici](https://www.deepl.com/translator#en/fr/The%20Zen%20of%20Python%2C%20by%20Tim%20Peters%0A%0ABeautiful%20is%20better%20than%20ugly.%0AExplicit%20is%20better%20than%20implicit.%0ASimple%20is%20better%20than%20complex.%0AComplex%20is%20better%20than%20complicated.%0AFlat%20is%20better%20than%20nested.%0ASparse%20is%20better%20than%20dense.%0AReadability%20counts.%0ASpecial%20cases%20aren't%20special%20enough%20to%20break%20the%20rules.%0AAlthough%20practicality%20beats%20purity.%0AErrors%20should%20never%20pass%20silently.%0AUnless%20explicitly%20silenced.%0AIn%20the%20face%20of%20ambiguity%2C%20refuse%20the%20temptation%20to%20guess.%0AThere%20should%20be%20one--%20and%20preferably%20only%20one%20--obvious%20way%20to%20do%20it.%0AAlthough%20that%20way%20may%20not%20be%20obvious%20at%20first%20unless%20you're%20Dutch.%0ANow%20is%20better%20than%20never.%0AAlthough%20never%20is%20often%20better%20than%20*right*%20now.%0AIf%20the%20implementation%20is%20hard%20to%20explain%2C%20it's%20a%20bad%20idea.%0AIf%20the%20implementation%20is%20easy%20to%20explain%2C%20it%20may%20be%20a%20good%20idea.%0ANamespaces%20are%20one%20honking%20great%20idea%20--%20let's%20do%20more%20of%20those!)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import this"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Commençons en important des fonctions de deux modules\n",
"Nous avons besoin de quelques super pouvoirs alors *importons* des fonctions depuis les *modules* **random** et **collections**. L'importation d'une fonction d'un module est de la forme:\n",
"\n",
"```python\n",
" from LeModuleQuiMinterresse import laFonctionDontJaiBesoin\n",
"```\n",
"On peut importer tout un module:\n",
"\n",
"```python\n",
" import LeModuleQuiMinterresse\n",
"```\n",
"En lui donnant un surnom pour faire court:\n",
"```python\n",
" import LeModuleQuiMinterresse as lmm\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from random import choice, choices\n",
"from collections import Counter"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On aura également besoin du module pyplot pour avoir quelques représentations graphiques."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt"
]
},
{
"attachments": {
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simuler le lancer d'un seul dé à 12 faces\n",
"![image.png](attachment:image.png)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"9"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#Executer plusieurs fois cette cellule pour voir comment la fonction choice() fonctionne:\n",
"faces_dé = [1,2,3,4,5,6,7,8,9,10,11,12]\n",
"choice(faces_dé)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Deux conseils zen du Python\n",
" * Il devrait y avoir une - et de préférence une seule - manière évidente de le faire.\n",
"\n",
" * Plat est mieux que imbriqué. : on évite d'écrire une boucle si possible.\n",
"\n",
"Utilisons la fonction *choices* avec un **s** qui permet de donner un poids relatif à chaque issue et de **fixer un nombre de répétitions**, ici $k=1$. Cette fonction renvoie ses résultats dans une liste, d'où les crochets:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[1]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"poids = [1,1,1,1,1,1,1,1,1,1,1,1]\n",
"choices(faces_dé, poids, k = 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**simuler cinq lancés d'un dé à douze faces**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**La simulation d'un (k=1) lancer d'une pièce en une ligne de code:**\n",
"La pièce est équilibrée, les côtés Pile et Face, ont les mêmes poids [1, 1]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"choices([\"Pile\", \"Face\"], [1, 1], k = 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Simuler trois lancers d'une pièce deséquilibrée, telle que le coté face a deux fois plus de chance de sortir que le côté Pile:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"attachments": {
"image.png": {
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"
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"## Les [osselets](https://museedujeu.ch/wp-content/uploads/2016/09/01_Osselets_dossier.pdf)\n",
"*Dans l’antiquité grecque et romaine, les Osselets on été utilisés en tant que dés, une valeur\n",
"étant attribuée à chaque face, comme jeu d’adresse ou comme outil de divination.* (Cf lien vers le fichier pdf).\n",
"Les quatre faces ne sont pas équiprobables:\n",
"![image.png](attachment:image.png)\n",
"\n",
"|Face visible |Probabilité|\n",
"|-------------|-----------|\n",
"|dos| 0.37|\n",
"|ventre| 0.37|\n",
"|vautour |0.13|\n",
"|oreille |0.13|\n",
"\n",
"Ecrire en deux lignes de code, la simulation de 20 lancers d'un ocelet (Les poids de chaque face seront des nombres entiers exprimant la fréquence en % d'obtention de chaqcune des faces)."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"poids = [ , , , ]\n",
"choices([ , , , ], poids, k = ...)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simuler 100 lancers PILE ou FACE et les compter:\n",
"La fonction *Counter* donne les effectifs de chaque issues d'une liste. Elle renvoie un dictionnaire, ici *issues*.\n",
"Un dictionnaire associe des clés à des valeurs.\n",
" * Ici les clés sont P ou F correspondants à PILE ou FACE.\n",
" * les valeurs sont les effectifs des clés P et F\n",
" \n",
"Pour connaître le nombre de P obtenus, on écrit:\n",
"```Python\n",
"issues['P']\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"N_Lancers = 1000\n",
"faces_pièce = ['P','F']\n",
"lancers = choices(faces_pièce, [1,1], k = N_Lancers)\n",
"issues = Counter(lancers)\n",
"issues"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"print(issues.keys())\n",
"print(issues.values())\n",
"issues['P']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculons la fréquence d'obtention du côté PILE:\n",
"\n",
"\n",
"```python\n",
"issues\n",
"```\n",
"\n",
"Est un dictionnaire, ce qui va nous permettre de recupérer le nombre de PILE **P** et de calculer la fréquence des côtés PILE:\n",
"\n",
"$$\\large{f_{_P} = \\dfrac{N_P}{N_{lancers}}}$$\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"issues = Counter(lancers)\n",
"N_P = issues['P']\n",
"f_P = N_P / N_Lancers\n",
"print('La fréquence des côté PILE est:',f_P,' pour ', N_Lancers,' lancers.')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Faire 20 séries de 100 lancers\n",
"On va utiliser une boucle \n",
"\n",
"```python\n",
"VALEUR_MAX = 20\n",
"for variable in range(VALEUR_MAX):\n",
" #code à répéter\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"N_séries = 20\n",
"N_Lancers =100\n",
"for lancer in range(N_séries):\n",
" Lancers = choices(['P','F'], k = N_Lancers)\n",
" issues = Counter(Lancers)\n",
" N_P = issues['P']\n",
" f_P = N_P / N_Lancers\n",
" print('Série:',lancer,' . La fréquence des côté PILE est:',f_P,' pour ', N_Lancers,' lancers.')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Copier-Coller le code ci-dessus dans la cellule ci-dessous:\n",
"\n",
" * Modifier le code pour réaliser des séries de 10 lancés, puis de 50 lancés et de 1000 lancés.\n",
" * Que remarque-t-on pour les fréquences d'obtention du côté **PILE**?"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"### Copier coller sous cette ligne\n",
"\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simplification du code:\n",
"\n",
"Le code ci-dessous simule des séries de lancés de dés,\n",
"\n",
"```python\n",
"for lancer in range(N_répétitions):\n",
" Lancers = choices(['P','F'], k = N_Lancers)\n",
" issues = Counter(Lancers)\n",
" N_P = issues['P']\n",
" f_P = N_P / N_Lancers\n",
"```\n",
"On va l'encapsuler dans une fonction. Il faudra lui donner:\n",
"\n",
" * le nombre de série à réaliser\n",
" * le nombre de répétitions de chaque série\n",
"\n",
"### C'est quoi une fonction en python?\n",
"\n",
" * Des explications concernant le nom de la fonction ci-dessous: https://vimeo.com/59258528"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# ma première fonction\n",
"def boite_à_coucou():\n",
" print('Coucou !')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"boite_à_coucou()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#une deuxième fonction avec un argument: c'est à dire un objet que la fonction va utiliser pour faire quelque chose\n",
"def boite_à_coucou(ordre = \"Dit coucou\"):\n",
" print(ordre + ': Coucou !')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"boite_à_coucou()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"boite_à_coucou(\"Ne dit pas coucou!\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"boite_à_coucou(ordre = \" Johny a dit\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Fonction simulant une série de lancés:\n",
"\n",
" * Il y aura $ s $ séries de lancés\n",
" * Dans chaque série, la fonction simulera $l$ lancés.\n",
" * La fonction aura donc deux arguments dont on pourra fixé une valeur par defaut\n",
" \n",
"```python \n",
" def simulation_séries_de_lancés(s = 20, l = 100):\n",
"```\n",
"Ces deux arguments demandent la simulation de 20 séries de 100 lancés à **PILE** ou **FACE** "
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def simulation_séries_de_lancés(N_séries = 20, N_lancers = 100):\n",
" fréquence_P_séries = {}\n",
" poids = [1, 1]\n",
" for s in range(N_séries):\n",
" Lancers = choices(['P','F'], poids, k = N_lancers)\n",
" issues = Counter(Lancers)\n",
" N_P = issues['P']\n",
" f_P = N_P / N_lancers\n",
" fréquence_P_séries[s] = f_P\n",
" return fréquence_P_séries"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"expérience = simulation_séries_de_lancés(N_séries = 20, N_lancers = 5000)\n",
"print(expérience)\n",
"for f in expérience.values():\n",
" print(f)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"expérience.keys()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"expérience.values()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"for série, f in zip(expérience.keys(), expérience.values()):\n",
" print(\"série:\", série, \" fréquence de PILE:\",f)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### A l'aide des deux dernières cellules, écrire un code simulant une expérience de 25 séries à 1000 lancés PILE ou FACE"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Visualisation graphique de la fluctuation des fréquences:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"plt.figure(figsize = (10,4))\n",
"plt.grid(True)\n",
"plt.xlim(-1, 20)\n",
"plt.xticks(list(expérience.keys()))\n",
"plt.xlabel('Série')\n",
"plt.ylim(0.45, 0.55)\n",
"plt.ylabel('fréquence PILE')\n",
"\n",
"\n",
"plt.scatter(expérience.keys(), expérience.values())\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"plt.figure()\n",
"plt.boxplot(expérience.values())\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.gridspec as gridspec\n",
"\n",
"f = plt.figure(figsize=(10,2))\n",
"#plt.legend(\"20 series de 5000 lancers chacune\")\n",
"gs = gridspec.GridSpec(1, 2,width_ratios=[9,1])\n",
"\n",
" \n",
"ax1 = plt.subplot(gs[0])\n",
"plt.grid(True)\n",
"plt.xlim(-1, 20)\n",
"plt.xticks(list(expérience.keys()))\n",
"plt.xlabel('Série')\n",
"plt.ylim(0.48, 0.52)\n",
"plt.ylabel('fréquence PILE')\n",
"plt.scatter(expérience.keys(), expérience.values())\n",
"\n",
"ax2 = plt.subplot(gs[1])\n",
"plt.xlabel('5 000 lancers')\n",
"plt.ylim(0.48, 0.52)\n",
"plt.boxplot(expérience.values())\n",
"\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Réalisons trois expériences:\n",
" * expérience 1 : 20 séries de 100 lancers P/F\n",
" * expérience 2 : 20 séries de 1 000 lancers P/F\n",
" * expérience 2 : 20 séries de 10 000 lancers P/F"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"experience_1 = simulation_séries_de_lancés(N_séries = 100, N_lancers = 50)\n",
"experience_2 = simulation_séries_de_lancés(N_séries = 100, N_lancers = 500)\n",
"experience_3 = simulation_séries_de_lancés(N_séries = 100, N_lancers = 5000)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"#https://stackoverflow.com/questions/52273543/creating-multiple-boxplots-on-the-same-graph-from-a-dictionary\n",
"\n",
"fig, ax = plt.subplots()\n",
"#ax.boxplot(my_dict.values())\n",
"#ax.set_xticklabels(my_dict.keys())\n",
"\n",
"Data = [ list(experience_1.values()), list(experience_2.values()), list(experience_3.values())]\n",
"\n",
"ax.title.set_text(\" 3 expériences de 100 series de n lancers PILE ou FACE\")\n",
"ax.boxplot(Data)\n",
"ax.set_ylabel('fréquence PILE')\n",
"ax.set_xticklabels([\"n=50\", \"n=500\", \"n=5 000\"])\n",
"\n",
"plt.show()"
]
},
{
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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