{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Les graphiques (deuxième partie)\n", "\n", "Code sous licence creative commun CC BY-NC-SA BY Gaëlle Rebolini" ] }, { "cell_type": "raw", "metadata": { "raw_mimetype": "text/restructuredtext" }, "source": [ ":download:`Télécharger le pdf <./10-graphiques_partie_2.pdf>`\n", "\n", ":download:`Télécharger le notebook <./10-graphiques_partie_2.ipynb>`\n", "\n", ":download:`Lancer le notebook sur binder (lent) `" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dans cette deuxième partie, nous allons voir comment créer des graphiques multiples et des vecteurs. \n", "\n", "Pour plus d'informations, se référer au site : https://matplotlib.org/tutorials/index.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Afficher plusieurs graphiques simultanément" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour cela, on utilise la méthode **plt.subplot(nombre de lignes, nombre de colonnes, index)** de la bibliothèque matplotlib.pyplot as plt.\n", "\n", "Cette méthode permet de créer un emplacement en divisant la fenêtre graphique en un nombre donné de lignes et de colonnes indiqué entre parenthèses.\n", "L'index permet de renseigner la position de l'emplacement dans la fenêtre graphique. Il commence à 1 dans le coin supérieur gauche de la fenêtre graphique et augmente vers la droite puis vers le bas.\n", "\n", "Exemple: pour une fenêtre graphique divisée en 2 lignes et 2 colonnes, les emplacements sont indexées comme suit :\n", "\n", "**1 2**\n", "\n", "**3 4**\n", "\n", "Après avoir défini l'emplacement, il suffit de coder directement les caractéristiques du graphique qui apparaîtra dans l'emplacement en question.\n", "\n", "Pour ajuster les positions des côtés des graphiques et les espacements entre ceux-ci, on utilise la méthode : \n", "\n", "**plt.gcf().subplots_adjust(left = 0.125, bottom = 0.1, right = 0.9, top = 0.9, wspace = 0.2, hspace = 0.2)** de la bibliothèque matplotlib.pyplot as plt.\n", "\n", "Les paramètres utilisés sont les suivants (les valeurs données ci-dessous sont les valeurs par défaut) : \n", " \n", "- left = 0.125 : position du côté gauche du graphique\n", "- right = 0.9 : position du côté droit du graphique\n", "- bottom = 0.1 : position du côté bas du graphique\n", "- top = 0.9 : position côté haut du graphique\n", "- wspace = 0.2 : espacement horizontal entre deux graphiques\n", "- hspace = 0.2 : espacement vertical entre deux graphiques \n", "\n", "Toutefois, si la taille de la fenêtre graphique n'est pas cohérente avec les valeurs des paramètres, l'affichage sera modifié." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Prenons l'exemple de la chute libre d'une balle sans vitesse initiale afin d'illustrer ces différentes méthodes.\n", "Voici trois programmes permettant d'afficher les coordonnées verticales de la position, de la vitesse et de l'accélération d'une balle en fonction du temps sur trois graphiques simultanément. Selon le programme, les graphiques sont positionnés différemment." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Premier programme " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "%matplotlib inline\n", "import numpy as np\n", " \n", "t=np.arange(0,0.65,0.05) \n", "z=-4.9*t**2+2\n", "vz=-9.8*t\n", "az=-9.8+0*t\n", "\n", "# création de la fenêtre graphique 1\n", "\n", "plt.figure(1,figsize=(10,12)) \n", "plt.gcf().subplots_adjust(left = 0.125, bottom = 0.2, right = 1.5, \n", " top = 0.9, wspace = 0.5, hspace = 0)\n", "\n", "# division de la fenêtre graphique en 1 ligne, 3 colonnes, \n", "# graphique en position 1\n", "# puis caractéristiques de ce graphique\n", "\n", "plt.subplot(1,3,1) \n", "plt.plot(t,z,color='b', marker = '+') \n", "plt.title('position')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('z(m)')\n", "plt.ylim(0)\n", " \n", " \n", "# division de la fenêtre graphique en 1 ligne, 3 colonnes, \n", "# graphique en position 2\n", "# puis caractéristiques de ce graphique\n", "\n", "plt.subplot(1,3,2) \n", "plt.plot(t,vz,color='b', marker = '+') \n", "plt.title ('vitesse')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('vz(m/s)')\n", "\n", "\n", "# division de la fenêtre graphique en 1 ligne, 3 colonnes, \n", "# graphique en position 3\n", "# puis caractéristiques de ce graphique\n", " \n", "plt.subplot(1,3,3) \n", "plt.plot(t,az,color='b', marker = '+')\n", "plt.title('accélération')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('az(m/s²)')\n", " \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Deuxième programme" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# création de la fenêtre graphique 2\n", "\n", "plt.figure(2,figsize=(10,12)) \n", "plt.gcf().subplots_adjust(left = 0.2, bottom = 0.2, right = 1.5, \n", " top = 0.9, wspace = 0, hspace = 0.5)\n", " \n", "# division de la fenêtre graphique en 3 lignes, 1 colonne, \n", "# graphique en position 1\n", "# puis caractéristiques de ce graphique\n", "\n", "plt.subplot(3,1,1) \n", "plt.plot(t,z,color='b', marker = '+') \n", "plt.title('position')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('z(m)')\n", "plt.ylim(0)\n", " \n", " \n", "# division de la fenêtre graphique en 3 lignes, 1 colonne, \n", "# graphique en position 2\n", "# puis caractéristiques de ce graphique\n", "\n", "plt.subplot(3,1,2) \n", "plt.plot(t,vz,color='b', marker = '+') \n", "plt.title ('vitesse')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('vz(m/s)')\n", " \n", " \n", "# division de la fenêtre graphique en 3 lignes, 1 colonne, \n", "# graphique en position 3\n", "# puis caractéristiques de ce graphique\n", "\n", "plt.subplot(3,1,3) \n", "plt.plot(t,az,color='b', marker = '+')\n", "plt.title('accélération') \n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('az(m/s²)')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Troisième programme" ] }, { "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": [ "# création de la fenêtre graphique 3\n", "\n", "plt.figure(3,figsize=(10,12)) \n", "plt.gcf().subplots_adjust(left = 0.2, bottom = 0.2, right = 1.5,\n", " top = 0.8, wspace = 0.5, hspace = 0.5)\n", " \n", "# division de la fenêtre graphique en 1 ligne, 2 colonnes, \n", "# graphique en position 1\n", "# puis caractéristiques de ce graphique\n", "\n", "plt.subplot(1,2,1) \n", "plt.plot(t,z,color='b', marker = '+') \n", "plt.title('position') \n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('z(m)')\n", "plt.ylim(0)\n", "\n", "\n", "# division de la fenêtre graphique en 2 lignes, 2 colonnes, \n", "# graphique en position 2\n", "# puis caractéristiques de ce graphique\n", " \n", "plt.subplot(2,2,2) \n", "plt.plot(t,vz,color='b', marker = '+') \n", "plt.title ('vitesse')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('vz(m/s)')\n", "\n", "\n", "# division de la fenêtre graphique en 2 lignes, 2 colonnes, \n", "# graphique en position 4\n", "# puis caractéristiques de ce graphique\n", " \n", "plt.subplot(2,2,4) \n", "plt.plot(t,az,color='b', marker = '+') \n", "plt.title('accélération')\n", "plt.grid()\n", "plt.xlabel('t(s)')\n", "plt.ylabel('az(m/s²)')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Afficher des vecteurs sur un graphique" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pour cela, on utilise la méthode de la bibliothèque matplotlib.pyplot as plt\n", "\n", "**plt.arrow(x, y, composante_selon_x, composante_selon_y, facecolor='r', edgecolor='r', width=0.008, head_width=0.02, length_includes_head=True)**\n", "\n", "Les paramètres utilisés sont : \n", "\n", "- x, y : coordonnées de l'origine du vecteur dans la base utilisée dans le graphique.\n", "\n", "- composante_selon_x, composante_selon_y : composantes (coordonnées) du vecteur\n", "\n", "- facecolor (fc) : couleur de remplissage du vecteur \n", "\n", "- edgecolor (ec) : couleur du contour du vecteur\n", "\n", "- width : largeur du corps du vecteur (valeur par défaut: 0.001) \n", "\n", "- head_width : largeur de la tête du vecteur (par défaut: 3 * width)\n", "\n", "- head_length : longueur de la tête du vecteur (par défaut: 1.5 * head_width)\n", "\n", "- length_includes_head : True si la tête doit être comptée dans le calcul de la longueur du vecteur (par défaut: False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Prenons l'exemple d'un tir parabolique d'une balle et voyons comment tracer les vecteurs vitesse pour chaque position de la balle." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt \n", "%matplotlib inline\n", "import numpy as np\n", " \n", "t=np.arange(0,1.05,0.05) \n", "\n", "z=-4.9*t**2+5*t\n", "vz=-9.8*t+5\n", "x=3*t\n", "vx=3+0*t\n", "\n", "\n", "plt.figure(4,figsize=(17,7))\n", " \n", "plt.plot(x,z,color='b', marker = '+')\n", "plt.title('Tracé des vecteurs vitesse')\n", "plt.grid()\n", "plt.xlabel('x(m)')\n", "plt.ylabel('z(m)')\n", "\n", "for i in range (len (z)) :\n", " plt.arrow(x[i],z[i],0.02*vx[i],0.02*vz[i],facecolor='r',\n", " edgecolor='r',width=0.008,head_width=0.02,\n", " length_includes_head=True)\n", "\n", "# ici les coordonnées vx et vy sont multipliées par 0.02 afin \n", "# d'adapter l'échelle de longueur du vecteur. \n", " \n", "plt.show()" ] } ], "metadata": { "celltoolbar": "Format de la Cellule Texte Brut", "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }