{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Les graphiques (première 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_1.pdf>`\n",
    "\n",
    ":download:`Télécharger le notebook <./10-graphiques_partie_1.ipynb>`\n",
    "\n",
    ":download:`Lancer le notebook sur binder (lent) <https://mybinder.org/v2/gl/pyspc%2Fpyspc/master?filepath=05-bases%2F10-graphiques_partie_1.ipynb>`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ceci est un petit tutoriel permettant de tracer des graphiques très simples mais suffisants dans le cadre du programme de physique-chimie. Pour plus d'informations, se référer au site : https://matplotlib.org/tutorials/index.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Nous vous conseillons d'enregistrer ce fichier notebook sous un nom personnalisé afin de tester et modifier les lignes de codes à votre guise sans impacter la version originale."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Voici deux programmes (l'un très simple, l'autre plus complexe permettant d'afficher la caractéristique tension-intensité d'un conducteur ohmique à partir du tableau de valeurs suivantes: \n",
    "\n",
    "| I(mA) | 0 | 25  | 50  | 75  | 100 | 125 |\n",
    "|-------|---|-----|-----|-----|-----|-----|\n",
    "| U(V)  | 0 | 1,8 | 3,3 | 5,2 | 6,8 | 8,5 |  \n",
    "\n",
    "**Dans un premier temps, vous allez exécuter les deux programmes fournis en observant les différences notables.**\n",
    "\n",
    "**Dans un second temps, nous allons expliquer chacun de ces programmes**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Premier programme (le plus simple)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt \n",
    "%matplotlib inline\n",
    "I=[0,25e-3,50e-3,75e-3,100e-3,125e-3]     \n",
    "U=[0,1.8,3.3,5.2,6.8,8.5] \n",
    "plt.figure()\n",
    "plt.plot(I,U,color='b', marker = '+')\n",
    "plt.xlabel(\"intensité I (A)\")\n",
    "plt.ylabel(\"tension U (V)\")\n",
    "plt.grid()\n",
    "plt.title(\"Caractéristique Intensité-Tension d’un dipôle\"\n",
    "          \" ohmique\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Deuxième programme (plus complexe)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1500 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt   \n",
    "from matplotlib.ticker import MultipleLocator\n",
    "%matplotlib inline\n",
    "I=[0,25e-3,50e-3,75e-3,100e-3,125e-3]     \n",
    "U=[0,1.8,3.3,5.12,6.8,8.5] \n",
    "plt.figure(\"loi d'Ohm\", figsize=(12,10), dpi=150)\n",
    "plt.plot(I,U,color='b', marker = '+',markersize = 12, \n",
    "         linestyle='-.', linewidth = 2, label='U=f(I)')\n",
    "plt.legend(loc=2)\n",
    "plt.xlim(0,0.150)\n",
    "plt.ylim(0,10)\n",
    "plt.xlabel(\"intensité I (A)\")\n",
    "plt.ylabel(\"tension U (V)\")\n",
    "plt.gca().xaxis.set_major_locator(MultipleLocator(0.01))\n",
    "plt.gca().xaxis.set_minor_locator(MultipleLocator(0.001))\n",
    "plt.gca().yaxis.set_major_locator(MultipleLocator(1))\n",
    "plt.gca().yaxis.set_minor_locator(MultipleLocator(0.1))\n",
    "plt.grid(color='r', linestyle='--', linewidth=0.75) \n",
    "plt.title(\"Caractéristique Intensité-Tension d’un dipôle ohmique\", \n",
    "          fontsize=12,family='monospace',fontweight='bold',\n",
    "          style='italic',color='m', backgroundcolor='y',\n",
    "          horizontalalignment='center')\n",
    "plt.text(0.100,5,'résistance du dipôle égale à 68 Ohms',\n",
    "         fontsize=8, family='serif',fontweight='heavy',\n",
    "         style='oblique',color='m',backgroundcolor='c', alpha=1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**EXPLICATIONS DES PROGRAMMES**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Attention à bien exécuter les cellules de code suivantes les unes après les autres. Il est normal que rien ne s'affiche lors de l'exécution de certaines cellules."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import des bibliothèques utiles pour la création de graphiques"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# bibliothèque matplotlib.pyplot obligatoire \n",
    "# pour la création de graphiques\n",
    "\n",
    "import matplotlib.pyplot as plt           \n",
    "\n",
    "# %matplotlib inline permet d'afficher les graphiques \n",
    "# matplotlib sous les cellules de code du notebook\n",
    "\n",
    "%matplotlib inline             \n",
    "\n",
    "# bibliothèque numpy utile pour créer une liste de graduations\n",
    "\n",
    "import numpy as np                        \n",
    "\n",
    "# bibliothèque matplotlib.ticker utile ici uniquement pour \n",
    "# graduer les axes à sa convenance avec la fonction MultipleLocator\n",
    "\n",
    "from matplotlib.ticker import MultipleLocator          "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Créer des listes contenant les valeurs du tableau"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pour créer un graphique sous Python, il faut tout d'abord créer un tableau de valeurs ou l'importer à partir d'un fichier .csv (voir tuto Comment importer les données numériques d’un tableur scientifique dans un programme python ?)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# création d'une liste pour la grandeur portée en abscisse \n",
    "# ici l'intensité est convertie en Ampère\n",
    "\n",
    "I=[0,25e-3,50e-3,75e-3,100e-3,125e-3]     \n",
    "\n",
    "# création d'une liste pour la grandeur portée en ordonnée \n",
    "# ici la tension \n",
    "\n",
    "U=[0,1.8,3.3,5.2,6.8,8.5]                  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Créer et paramétrer une fenêtre graphique\n",
    "\n",
    "On utilise la méthode **plt.figure(num, figsize, dpi)** de la bibliothèque matplotlib.pyplot as plt.  \n",
    "\n",
    "Voici les principaux paramètres de cette méthode, il n'est pas obligatoire de tous les spécifier. Dans ce cas, ils prendront leur valeur par défaut. \n",
    "\n",
    "- num : dénomination de la fenêtre graphique : nombre entier ou chaîne de caractères ; n'apparaît pas sur le graphique\n",
    "- figsize =(x,y) : largeur x , hauteur y en pouces, valeur par défaut : [6.4, 4.8]\n",
    "- dpi: résolution de la figure, par défaut : 100\n",
    "\n",
    "**(voir ligne 5 du premier programme et ligne 6 du second programme)**\n",
    "\n",
    "D'autres paramètres existent, pour plus d'informations : \n",
    "\n",
    "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.figure.html#matplotlib.pyplot.figure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Afficher les points ainsi que leur légende"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " Toujours à l'aide de la bibliothèque matplotlib.pyplot as plt :  \n",
    " \n",
    " 1. Pour gérer l'affichage des points, on utilise la méthode **plt.plot(x, y, color, marker, markersize, linestyle, linewidth, label)**\n",
    "\n",
    "Les paramètres présentés ici sont :\n",
    "\n",
    "- x et y : grandeurs portées en abscisse et en ordonnée\n",
    "- color : couleur des points et de la ligne les reliant \n",
    "\n",
    "|code de la couleur|couleur|\n",
    "|----------------|---------------|\n",
    "|'b'|bleu|\n",
    "|'g'|vert|\n",
    "|'r'|rouge|\n",
    "|'c'|cyan| \n",
    "|'m'|magenta|\n",
    "|'y'|jaune|\n",
    "|'k'|noir|\n",
    "|'w'|blanc|\n",
    "\n",
    "Pour plus d'informations sur les couleurs : \n",
    "\n",
    "https://matplotlib.org/tutorials/colors/colors.html#sphx-glr-tutorials-colors-colors-py\n",
    "\n",
    "- marker : forme des points (marqueurs) \n",
    "\n",
    "|code du marqueur|forme du marqueur|\n",
    "|----------------|---------------|\n",
    "|'.'|\tpoint|\n",
    "|','|\tpixel|\n",
    "|'o'|\tcercle|\n",
    "|'+'|\tplus| \n",
    "|'x'|\tfois|\n",
    "|'v'|\ttriangle vers le bas|\n",
    "|'^'|   triangle vers le haut|\n",
    "|'<'|\ttriangle vers la gauche|\n",
    "|'>'|\ttriangle vers la droite|\n",
    "|'1'|\tétoile à trois branches dont l'une pointe vers le bas|\n",
    "|'2'|\tétoile à trois branches dont l'une pointe vers le haut|\n",
    "|'3'|\tétoile à trois branches dont l'une pointe vers la gauche|\n",
    "|'4'|\tétoile à trois branches dont l'une pointe vers la droite|\n",
    "|'s'|\tcarré|\n",
    "|'p'|   pentagone|\n",
    "|'*'|   étoile|\n",
    "|'h'|\thexagone|\n",
    "|'H'|   hexagone|\n",
    "|'D'|\tdiamant|\n",
    "|'d'|\tlosange|\n",
    "|'AltGr+6'|\tligne verticale|\n",
    "|'_'|\tligne horizontale|\n",
    "        \n",
    "   - markersize : taille du marqueur\n",
    "   \n",
    "   - linestyle : style de ligne\n",
    "   \n",
    "|code du style|style de ligne|\n",
    "|------|------|\n",
    "|'-'|\tligne en trait plein|\n",
    "|'--'|\tligne en pointillé long|\n",
    "|'-.'|\tligne en pointillé mixte|\n",
    "|':'|\tligne en pointillé court|\n",
    "        \n",
    "   - linewidth : épaisseur de la ligne\n",
    "   \n",
    "   - label : permet de légender la courbe en créant une étiquette\n",
    "\n",
    "D'autres paramètres existent. Pour plus d'informations : \n",
    "\n",
    "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.plot.html#matplotlib.pyplot.plot\n",
    "\n",
    "\n",
    "2. Pour faire apparaître l'étiquette (label) sur le graphique, il faut utiliser la méthode **plt.legend(loc)**.\n",
    "\n",
    "Le paramètre loc permet de choisir l'emplacement de l'étiquette sur le graphique :\n",
    "\n",
    "|Emplacement|Code d'emplacement|\n",
    "|-----------|-----------------------|\n",
    "|meilleur|0|\n",
    "|en haut à droite|1|\n",
    "|en haut à gauche|2|\n",
    "|en bas à gauche|3|\n",
    "|en bas à droite|4|\n",
    "|droite|5|\n",
    "|centre gauche|6|\n",
    "|centre droit|7|\n",
    "|centre bas|8|\n",
    "|centre supérieur|9|\n",
    "|centre|10|\n",
    "\n",
    "D'autres paramètres existent, notamment pour choisir la couleur , la police....Pour plus d'informations :\n",
    "\n",
    "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.legend.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A vous maintenant de modifier les paramètres des trois lignes de code ci-dessous."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f965c230080>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(\"loi d'Ohm\", figsize=(12,10), dpi=100)\n",
    "plt.plot(I,U,color='b', marker = '+',markersize = 12, \n",
    "         linestyle='-.', linewidth = 2, label='U=f(I)')\n",
    "plt.legend(loc=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Une autre possibilité de codage plus simple pour un même résultat :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f9620f34f98>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(\"loi d'Ohm\", figsize=(12,10), dpi=100)\n",
    "plt.plot(I,U,'b+-.',markersize = 12, linewidth = 2, label='U=f(I)')\n",
    "plt.legend(loc=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Et si l'on veut afficher deux courbes sur le même graphique?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Première possibilité :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "I=[0,25e-3,50e-3,75e-3,100e-3,125e-3]     \n",
    "U1=[0,1.8,3.3,5.2,6.8,8.5] \n",
    "U2 = [0,3,6,9,12,15]\n",
    "plt.figure()\n",
    "plt.plot(I,U1,'b+-.',label='U1=f(I)')\n",
    "plt.plot(I,U2,'rx-',label='U2=g(I)')\n",
    "plt.legend(loc=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Deuxième possibilité : La méthode plt.plot() renvoie une liste de courbes. Il est donc possible d'afficher deux courbes simultanément avec un seul appel de la methode plt.plot() comme dans l'exemple ci-dessous. \n",
    "\n",
    "Remarque utile pour comprendre le prochain tutoriel sur les animations de graphique : L'indice de la première courbe est 0, celui de la deuxième est 1..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "I=[0,25e-3,50e-3,75e-3,100e-3,125e-3]     \n",
    "U1=[0,1.8,3.3,5.2,6.8,8.5] \n",
    "U2 = [0,3,6,9,12,15]\n",
    "plt.figure()\n",
    "plt.plot(I,U1,'b+-.',I,U2,'rx-')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Configurer les axes du graphique et faire apparaître le quadrillage\n",
    "\n",
    "Toujours à l'aide de la bibliothèque matplotlib.pyplot as plt : \n",
    "\n",
    "1. Pour délimiter les valeurs minimales et maximales des axes, il y a deux possibilités :\n",
    "    - soit on utilise la méthode : **plt.axis([xmin,xmax,ymin,ymax])**\n",
    "    - soit on utilise les méthodes : **plt.xlim(xmin,xmax)** et **plt.ylim(ymin,ymax)**\n",
    "    \n",
    "    \n",
    "2. Pour légender les axes, on utilise les méthodes : **plt.xlabel(\"légende1\")** et **plt.ylabel(\"légende2\")**\n",
    "\n",
    "\n",
    "3. La graduation des axes se fait par défaut.\n",
    "Pour graduer les axes à votre convenance, voici deux méthodes :\n",
    "\n",
    "    **Première méthode :**\n",
    "    - appeler la bibliothèque numpy : **import numpy as np**\n",
    "    - utiliser les méthodes :\n",
    "        - **plt.xticks(np.arange(xmin, xmax, valeur d'une graduation))**\n",
    "        - **plt.yticks(np.arange(ymin, ymax, valeur d'une graduation))**\n",
    " \n",
    "    **Deuxième méthode :** \n",
    "    - appeler la fonction MultipleLocator de la bibliothèque matplotlib.ticker : **from matplotlib.ticker import MultipleLocator**\n",
    "    - utiliser les méthodes pour les graduations majeures : \n",
    "        - **plt.gca().xaxis.set_major_locator(MultipleLocator(valeur d'une graduation))**\n",
    "        - **plt.gca().yaxis.set_major_locator(MultipleLocator(valeur d'une graduation))**\n",
    "    - utiliser les méthodes pour les graduations mineures : \n",
    "        - **plt.gca().xaxis.set_minor_locator(MultipleLocator(valeur d'une graduation))**\n",
    "        - **plt.gca().yaxis.set_minor_locator(MultipleLocator(valeur d'une graduation))**\n",
    "        \n",
    "        \n",
    "4. Pour faire apparaître le quadrillage sur les graduations majeures ou par défaut, on utilise la méthode : **plt.grid(color, linestyle, linewidth)**.\n",
    "\n",
    "Les paramètres du quadrillage mentionnés ci-dessus sont les suivants :\n",
    "\n",
    "- color : la couleur des lignes (codes : cf. tableau ci-dessus)\n",
    "   \n",
    "- linestyle : le style des lignes (codes : cf. tableau ci-dessus)\n",
    "\n",
    "- linewidth : l'épaisseur des lignes\n",
    "\n",
    "D'autres paramètres existent. Pour plus d'informations :\n",
    "\n",
    "https://matplotlib.org/api/_as_gen/matplotlib.pyplot.grid.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Premier exemple avec les méthodes plt.axis(), plt.xticks() et plt.yticks() :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(1, figsize=(12,10), dpi=100)\n",
    "plt.axis([0,0.150,0,10])\n",
    "plt.xlabel(\"intensité I (A)\")\n",
    "plt.ylabel(\"tension U (V)\")\n",
    "plt.yticks(np.arange(0,10,1))\n",
    "plt.xticks(np.arange(0,0.150,0.01))\n",
    "plt.grid(color='r', linestyle='--', linewidth=0.75)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Deuxième exemple avec les méthodes plt.gca().xaxis.set_major_locator(MultipleLocator()) etc..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(2, figsize=(12,10), dpi=100)\n",
    "plt.axis([0,0.150,0,10])\n",
    "plt.xlabel(\"intensité I (A)\")\n",
    "plt.ylabel(\"tension U (V)\")\n",
    "plt.gca().xaxis.set_major_locator(MultipleLocator(0.01))\n",
    "plt.gca().xaxis.set_minor_locator(MultipleLocator(0.001))\n",
    "plt.gca().yaxis.set_major_locator(MultipleLocator(1))\n",
    "plt.gca().yaxis.set_minor_locator(MultipleLocator(0.1))\n",
    "plt.grid(color='r', linestyle='--', linewidth=0.75)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Troisième exemple avec les méthodes plt.xlim() et plt.ylim() qui donne un résultat identique au précédent :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x1000 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(3, figsize=(12,10), dpi=100)\n",
    "plt.xlim(0,0.150)\n",
    "plt.ylim(0,10)\n",
    "plt.xlabel(\"intensité I (A)\")\n",
    "plt.ylabel(\"tension U (V)\")\n",
    "plt.gca().xaxis.set_major_locator(MultipleLocator(0.01))\n",
    "plt.gca().xaxis.set_minor_locator(MultipleLocator(0.001))\n",
    "plt.gca().yaxis.set_major_locator(MultipleLocator(1))\n",
    "plt.gca().yaxis.set_minor_locator(MultipleLocator(0.1))\n",
    "plt.grid(color='r', linestyle='--', linewidth=0.75)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ecrire un titre et/ou un texte sur le graphique"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On utilise la méthode **plt.title(\"Titre\",...)** et/ou la méthode **plt.text(x,y,\"Texte\", ...)** de la bibliothèque matplotlib.pyplot as plt.  \n",
    "\n",
    "x, y sont les coordonnées du texte sur le graphique\n",
    "\n",
    "Voici quelques paramètres pouvant être ajoutés pour modifier le texte affiché :\n",
    "\n",
    "- fontsize: la taille de la police de caractères\n",
    "- family: le type de police ('serif', 'sans-serif', 'monospace').\n",
    "- fontweight : l'épaisseur de la police ('normal', 'bold', 'heavy', 'light', 'ultrabold', 'ultralight').\n",
    "- style : le style de la police ('normal', 'italic', 'oblique').\n",
    "- color : la couleur de la police.\n",
    "- backgroundcolor : la couleur du fond.\n",
    "- horizontalalignment : permet de centrer le texte ('left', 'center', 'right'). Attention : 'left' veut dire que c'est la partie gauche du texte qui est positionnée au centre du graphique donc cette commande décale le texte vers la droite.\n",
    "- alpha : permet de moduler la transparence du texte (0 : transparent ; 1 : opaque) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.1, 5, 'résistance du dipôle égale à 68 Ohms')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlim(0,0.150)\n",
    "plt.ylim(0,10)\n",
    "\n",
    "plt.title(\"Caractéristique Intensité-Tension d’un dipôle ohmique\",\n",
    "          fontsize=12,family='monospace',fontweight='bold',\n",
    "          style='italic',color='c',backgroundcolor='r',\n",
    "          horizontalalignment='right')\n",
    "\n",
    "plt.text(0.100,5,'résistance du dipôle égale à 68 Ohms',\n",
    "         fontsize=8,family='serif',fontweight='heavy',\n",
    "         style='oblique',color='m',backgroundcolor='g',alpha=1)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Afficher la fenêtre graphique"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On utilise la méthode **plt.show()** de la bibliothèque matplotlib.pyplot as plt en fin de programme afin d'afficher la fenêtre graphique réalisée précédemment."
   ]
  }
 ],
 "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
}