{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "db243aaf",
   "metadata": {},
   "source": [
    "# Matplotlib\n",
    "\n",
    "La bibliothèque `matplotlib` est un puissant outil de de création graphique.\n",
    "\n",
    "Voici une première utilisation élémentaire avec \n",
    "- l'import de la bibliothèque (on la renomme `plt` pour simplifier son utilisation) ;\n",
    "- l'ajout d'une courbe en indiquant les points de passages (une liste pour les absisses et une autre pour les ordonnées) ;\n",
    "- le choix du titre ;\n",
    "- le choix des labels pour l'absisse et l'ordonnée ;\n",
    "- l'affichage d'une fenètre avec le graphique ;\n",
    "- en option, la sauvegarde du graphique en `png`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c0c7cd52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot([1, 2, 3, 4], [2, 3, 1, 2])\n",
    "plt.title(\"Mon premier graphique\")\n",
    "plt.xlabel(\"X-axis\")\n",
    "plt.ylabel(\"Y-axis\")\n",
    "plt.show()\n",
    "#plt.savefig(\"graphique.png\", format = 'png')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc0988ad",
   "metadata": {},
   "source": [
    "Matplotlib dispose d'une grande variété de graphiques. Voici un exemple qui utilise les histogrammes. On commence par générer un ensemble de valeurs aléatoires, ici la somme de deux dés à 6 faces. On génère ensuite un histogramme."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2363e50c",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 2844.,  5676.,  8456., 11158., 13718., 16525., 13979., 11069.,\n",
       "         8171.,  5628.,  2776.]),\n",
       " array([ 2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11., 12., 13.]),\n",
       " <BarContainer object of 11 artists>)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from random import randint\n",
    "data = [randint(1,6) + randint(1,6) for _ in range(100000)]\n",
    "plt.hist(data, bins=range(2,14))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7520a803",
   "metadata": {},
   "source": [
    "Il est difficile de décrire tout ce qui est possible de faire avec matplotlib. Voici un autre exemple où les deux graphiques ci-dessus sont représentés ensemble."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a7edd3b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([ 2844.,  5676.,  8456., 11158., 13718., 16525., 13979., 11069.,\n",
       "         8171.,  5628.,  2776.]),\n",
       " array([ 2.,  3.,  4.,  5.,  6.,  7.,  8.,  9., 10., 11., 12., 13.]),\n",
       " <BarContainer object of 11 artists>)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2) # création d'un graphique avec 2 sous-graphiques.\n",
    "fig.suptitle('Vertically stacked subplots') # CHoix du titre principal\n",
    "ax1.plot([1, 2, 3, 4], [2, 3, 1, 2]) # Affichage du premier graphique\n",
    "ax2.hist(data, bins=range(2,14)) # Affichage du second\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ddd5b11",
   "metadata": {},
   "source": [
    "Vous pourrez voir sur le site de matplotlib, des [exemples](https://matplotlib.org/stable/plot_types/index.html) de tous les types de graphiques existants. Ces exemples sont assez bien documentés pour que vous puissiez vous inspirer du code pour faire vos propres graphiques."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "37ecff96",
   "metadata": {},
   "source": [
    "![exemple1](../_static/images/matplotlib/matplotlib1.png)\n",
    "![exemple2](../_static/images/matplotlib/matplotlib2.png)\n",
    "![exemple3](../_static/images/matplotlib/matplotlib3.png)\n",
    "![exemple4](../_static/images/matplotlib/matplotlib4.png)"
   ]
  }
 ],
 "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",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
