{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<link href='http://fonts.googleapis.com/css?family=Alegreya+Sans:100,300,400,500,700,800,900,100italic,300italic,400italic,500italic,700italic,800italic,900italic' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Arvo:400,700,400italic' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=PT+Mono' rel='stylesheet' type='text/css'>\n",
       "<link href='http://fonts.googleapis.com/css?family=Philosopher:400,700,400italic,700italic' rel='stylesheet' type='text/css'>\n",
       "\n",
       "<style>\n",
       "\n",
       "/*\n",
       "Largeur de la page\n",
       "*/\n",
       "div.container { \n",
       "    width:100% !important; /*!important; was necessary to override many styles*/\n",
       "}\n",
       "\n",
       "#notebook_panel { /* main background */\n",
       "    background: #888;\n",
       "    /*color: #f6f6f6;*/\n",
       "}\n",
       "\n",
       "div.cell { \n",
       "    width: 100%; /* set cell width   */\n",
       "    /* margin-top:1em; margin-bottom:1em; */\n",
       "}\n",
       "\n",
       "div #notebook { /* centre the content */\n",
       "    background: #fff; /* white background for content */\n",
       "    width: 95%;\n",
       "    margin: auto;\n",
       "    padding-left: 1em; /* padding-left: 20%; padding-right:20%; */\n",
       "}\n",
       "\n",
       "/*\n",
       "#notebook li { /* More space between bullet points */\n",
       "margin-top:0.6em;\n",
       "}\n",
       "*/\n",
       "\n",
       "/* draw border around running cells */\n",
       "div.cell.border-box-sizing.code_cell.running { \n",
       "    border: 3px solid #111;\n",
       "}\n",
       "\n",
       "/* Put a solid color box around each cell and its output, visually linking them together */\n",
       "div.cell.code_cell {\n",
       "    background-color: #f4f3e0; \n",
       "    border-radius: 10px; /* rounded borders */\n",
       "    padding: 1em;\n",
       "    margin-top: 1em;\n",
       "    /* overflow:auto; */\n",
       "}\n",
       "\n",
       "\n",
       "/*\n",
       "div.text_cell { width: 105ex }\n",
       "*/\n",
       "\n",
       "div.text_cell_render{\n",
       "    font-family: 'Arvo' sans-serif; /* 'Times New Roman','Palatino','Arial' */\n",
       "    line-height: 130%;\n",
       "    font-size: 115%;\n",
       "    width:100%;\n",
       "    margin-left:auto;\n",
       "    margin-right:auto; /* padding-left:3em; padding-right:3em; */\n",
       "}\n",
       "\n",
       "\n",
       "/* Formatting for header cells */\n",
       ".text_cell_render h1 {\n",
       "    font-family: 'Philosopher', sans-serif;\n",
       "    font-weight: 400;\n",
       "    font-size: 30pt;\n",
       "    line-height: 100%;\n",
       "    color: rgb(12,85,97);\n",
       "    margin-bottom: 0.1em;\n",
       "    margin-top: 0.1em;\n",
       "    display: block;\n",
       "    text-align:center;\n",
       "}   \n",
       ".text_cell_render h2 {\n",
       "    font-family: 'Alegreya Sans', serif;\n",
       "    font-weight: 700;\n",
       "    font-size: 24pt;\n",
       "    line-height: 100%;\n",
       "    color: rgb(171,165,131);\n",
       "    margin-bottom: 0.1em; /* -0.4em; */\n",
       "    margin-top: 0.1em;\n",
       "    display: block;\n",
       "}   \n",
       "\n",
       ".text_cell_render h3 {\n",
       "    font-family: 'Philosopher', serif;\n",
       "    margin-top:12px;\n",
       "    margin-bottom: 3px;\n",
       "    font-style: italic;\n",
       "    color: rgb(95,92,72);\n",
       "}\n",
       "\n",
       ".text_cell_render h4 {\n",
       "    font-family: 'Philosopher', serif;\n",
       "}\n",
       "\n",
       ".text_cell_render h5 {\n",
       "    font-family: 'Alegreya Sans', sans-serif;\n",
       "    font-weight: 300;\n",
       "    font-size: 16pt;\n",
       "    color: grey;\n",
       "    font-style: italic;\n",
       "    margin-bottom: .1em;\n",
       "    margin-top: 0.1em;\n",
       "    display: block;\n",
       "}\n",
       "\n",
       ".text_cell_render h6 {\n",
       "    font-family: 'PT Mono', sans-serif;\n",
       "    font-weight: 300;\n",
       "    font-size: 10pt;\n",
       "    color: grey;\n",
       "    margin-bottom: 1px;\n",
       "    margin-top: 1px;\n",
       "}\n",
       "\n",
       ".CodeMirror{\n",
       "    font-family: \"PT Mono\";\n",
       "    font-size: 100%;\n",
       "}\n",
       " \n",
       "\n",
       "/*\n",
       "Utilisation\n",
       "<p class=\"comment\">\n",
       "Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet. Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.\n",
       "</p>\n",
       "*/\n",
       "p.comment {\n",
       "background-color: #DBDBDB;\n",
       "padding: 10px;\n",
       "border: 1px solid black;\n",
       "margin-left: 25px;\n",
       "border-radius: 5px;\n",
       "font-style: italic;\n",
       "} \n",
       "\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.core.display import HTML\n",
    "css_file = './custom.css'\n",
    "HTML(open(css_file, \"r\").read())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Python version 3.8.5 (default, Jul 28 2020, 12:59:40) \n",
      "[GCC 9.3.0]\n",
      "Matplotlib version 3.1.2\n",
      "Numpy version 1.17.4\n"
     ]
    }
   ],
   "source": [
    "import sys #only needed to determine Python version number\n",
    "import matplotlib #only needed to determine Matplotlib version number\n",
    "import numpy #only needed to determine numpy version number\n",
    "\n",
    "print('Python version ' + sys.version)\n",
    "print('Matplotlib version ' + matplotlib.__version__ )\n",
    "print('Numpy version ' + numpy.__version__ )\n",
    "\n",
    "%reset -f"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# M62_TP0 Les modules `Matplotlib` et `Numpy`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "toc": true
   },
   "source": [
    "<h1>Table of Contents<span class=\"tocSkip\"></span></h1>\n",
    "<div class=\"toc\"><ul class=\"toc-item\"><li><span><a href=\"#Dessiner-des-courbes-avec-le-module-matplotlib\" data-toc-modified-id=\"Dessiner-des-courbes-avec-le-module-matplotlib-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Dessiner des courbes avec le module <code>matplotlib</code></a></span><ul class=\"toc-item\"><li><span><a href=\"#1D\" data-toc-modified-id=\"1D-1.1\"><span class=\"toc-item-num\">1.1&nbsp;&nbsp;</span>1D</a></span><ul class=\"toc-item\"><li><span><a href=\"#Plusieurs-courbes-sur-le-même-repère\" data-toc-modified-id=\"Plusieurs-courbes-sur-le-même-repère-1.1.1\"><span class=\"toc-item-num\">1.1.1&nbsp;&nbsp;</span>Plusieurs courbes sur le même repère</a></span></li><li><span><a href=\"#Plusieurs-&quot;fenêtres&quot;-graphiques\" data-toc-modified-id=\"Plusieurs-&quot;fenêtres&quot;-graphiques-1.1.2\"><span class=\"toc-item-num\">1.1.2&nbsp;&nbsp;</span>Plusieurs \"fenêtres\" graphiques</a></span></li><li><span><a href=\"#Plusieurs-repères-dans-la-même-fenêtre\" data-toc-modified-id=\"Plusieurs-repères-dans-la-même-fenêtre-1.1.3\"><span class=\"toc-item-num\">1.1.3&nbsp;&nbsp;</span>Plusieurs repères dans la même fenêtre</a></span></li><li><span><a href=\"#Personnalisation\" data-toc-modified-id=\"Personnalisation-1.1.4\"><span class=\"toc-item-num\">1.1.4&nbsp;&nbsp;</span>Personnalisation</a></span></li><li><span><a href=\"#Animations\" data-toc-modified-id=\"Animations-1.1.5\"><span class=\"toc-item-num\">1.1.5&nbsp;&nbsp;</span>Animations</a></span></li></ul></li><li><span><a href=\"#2D\" data-toc-modified-id=\"2D-1.2\"><span class=\"toc-item-num\">1.2&nbsp;&nbsp;</span>2D</a></span></li><li><span><a href=\"#Représentations-des-erreurs:-échelles-logarithmique-et-semi-logarithmique\" data-toc-modified-id=\"Représentations-des-erreurs:-échelles-logarithmique-et-semi-logarithmique-1.3\"><span class=\"toc-item-num\">1.3&nbsp;&nbsp;</span>Représentations des erreurs: échelles logarithmique et semi-logarithmique</a></span></li><li><span><a href=\"#Pour-s'amouser-:-xkcd\" data-toc-modified-id=\"Pour-s'amouser-:-xkcd-1.4\"><span class=\"toc-item-num\">1.4&nbsp;&nbsp;</span>Pour s'amouser : xkcd</a></span></li></ul></li><li><span><a href=\"#Les-tableaux/vecteurs/matrices-avec-le-module-numpy\" data-toc-modified-id=\"Les-tableaux/vecteurs/matrices-avec-le-module-numpy-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Les tableaux/vecteurs/matrices avec le module <code>numpy</code></a></span><ul class=\"toc-item\"><li><span><a href=\"#Les-bases\" data-toc-modified-id=\"Les-bases-2.1\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>Les bases</a></span><ul class=\"toc-item\"><li><span><a href=\"#Attention-aux-modifications!\" data-toc-modified-id=\"Attention-aux-modifications!-2.1.1\"><span class=\"toc-item-num\">2.1.1&nbsp;&nbsp;</span>Attention aux modifications!</a></span></li></ul></li><li><span><a href=\"#Matrices-prédéfinies\" data-toc-modified-id=\"Matrices-prédéfinies-2.2\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>Matrices prédéfinies</a></span></li><li><span><a href=\"#Reshape,-flatten,-transpose\" data-toc-modified-id=\"Reshape,-flatten,-transpose-2.3\"><span class=\"toc-item-num\">2.3&nbsp;&nbsp;</span><code>Reshape</code>, <code>flatten</code>, <code>transpose</code></a></span></li><li><span><a href=\"#Opération-terme-à-terme\" data-toc-modified-id=\"Opération-terme-à-terme-2.4\"><span class=\"toc-item-num\">2.4&nbsp;&nbsp;</span>Opération terme à terme</a></span><ul class=\"toc-item\"><li><span><a href=\"#Produit-matriciel\" data-toc-modified-id=\"Produit-matriciel-2.4.1\"><span class=\"toc-item-num\">2.4.1&nbsp;&nbsp;</span>Produit matriciel</a></span></li></ul></li><li><span><a href=\"#Slicing\" data-toc-modified-id=\"Slicing-2.5\"><span class=\"toc-item-num\">2.5&nbsp;&nbsp;</span>Slicing</a></span></li><li><span><a href=\"#Booléens-(masques)\" data-toc-modified-id=\"Booléens-(masques)-2.6\"><span class=\"toc-item-num\">2.6&nbsp;&nbsp;</span>Booléens (masques)</a></span></li><li><span><a href=\"#Assemblage,-concatenation\" data-toc-modified-id=\"Assemblage,-concatenation-2.7\"><span class=\"toc-item-num\">2.7&nbsp;&nbsp;</span>Assemblage, concatenation</a></span><ul class=\"toc-item\"><li><span><a href=\"#array-vs-mat\" data-toc-modified-id=\"array-vs-mat-2.7.1\"><span class=\"toc-item-num\">2.7.1&nbsp;&nbsp;</span><code>array</code> vs <code>mat</code></a></span></li></ul></li><li><span><a href=\"#Vectorisation-des-fonctions\" data-toc-modified-id=\"Vectorisation-des-fonctions-2.8\"><span class=\"toc-item-num\">2.8&nbsp;&nbsp;</span>Vectorisation des fonctions</a></span></li><li><span><a href=\"#Autres-commandes\" data-toc-modified-id=\"Autres-commandes-2.9\"><span class=\"toc-item-num\">2.9&nbsp;&nbsp;</span>Autres commandes</a></span></li><li><span><a href=\"#Algèbre-linéaire-:-numpy.linalg\" data-toc-modified-id=\"Algèbre-linéaire-:-numpy.linalg-2.10\"><span class=\"toc-item-num\">2.10&nbsp;&nbsp;</span>Algèbre linéaire : <code>numpy.linalg</code></a></span></li></ul></li><li><span><a href=\"#NumPy-for-MATLAB-users\" data-toc-modified-id=\"NumPy-for-MATLAB-users-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>NumPy for MATLAB users</a></span><ul class=\"toc-item\"><li><span><a href=\"#Help\" data-toc-modified-id=\"Help-3.1\"><span class=\"toc-item-num\">3.1&nbsp;&nbsp;</span>Help</a></span></li><li><span><a href=\"#Searching-available-documentation\" data-toc-modified-id=\"Searching-available-documentation-3.2\"><span class=\"toc-item-num\">3.2&nbsp;&nbsp;</span>Searching available documentation</a></span></li><li><span><a href=\"#Using-interactively\" data-toc-modified-id=\"Using-interactively-3.3\"><span class=\"toc-item-num\">3.3&nbsp;&nbsp;</span>Using interactively</a></span></li><li><span><a href=\"#Arithmetic-operators\" data-toc-modified-id=\"Arithmetic-operators-3.4\"><span class=\"toc-item-num\">3.4&nbsp;&nbsp;</span>Arithmetic operators</a></span></li><li><span><a href=\"#Relational-operators\" data-toc-modified-id=\"Relational-operators-3.5\"><span class=\"toc-item-num\">3.5&nbsp;&nbsp;</span>Relational operators</a></span></li><li><span><a href=\"#Logical-operators\" data-toc-modified-id=\"Logical-operators-3.6\"><span class=\"toc-item-num\">3.6&nbsp;&nbsp;</span>Logical operators</a></span></li><li><span><a href=\"#root-and-logarithm\" data-toc-modified-id=\"root-and-logarithm-3.7\"><span class=\"toc-item-num\">3.7&nbsp;&nbsp;</span>root and logarithm</a></span></li><li><span><a href=\"#Round-off\" data-toc-modified-id=\"Round-off-3.8\"><span class=\"toc-item-num\">3.8&nbsp;&nbsp;</span>Round off</a></span></li><li><span><a href=\"#Mathematical-constants\" data-toc-modified-id=\"Mathematical-constants-3.9\"><span class=\"toc-item-num\">3.9&nbsp;&nbsp;</span>Mathematical constants</a></span></li><li><span><a href=\"#Missing-values;-IEEE-754-floating-point-status-flags\" data-toc-modified-id=\"Missing-values;-IEEE-754-floating-point-status-flags-3.10\"><span class=\"toc-item-num\">3.10&nbsp;&nbsp;</span>Missing values; IEEE-754 floating point status flags</a></span></li><li><span><a href=\"#Complex-numbers\" data-toc-modified-id=\"Complex-numbers-3.11\"><span class=\"toc-item-num\">3.11&nbsp;&nbsp;</span>Complex numbers</a></span></li><li><span><a href=\"#Trigonometry\" data-toc-modified-id=\"Trigonometry-3.12\"><span class=\"toc-item-num\">3.12&nbsp;&nbsp;</span>Trigonometry</a></span></li><li><span><a href=\"#Generate-random-numbers\" data-toc-modified-id=\"Generate-random-numbers-3.13\"><span class=\"toc-item-num\">3.13&nbsp;&nbsp;</span>Generate random numbers</a></span></li><li><span><a href=\"#Vectors\" data-toc-modified-id=\"Vectors-3.14\"><span class=\"toc-item-num\">3.14&nbsp;&nbsp;</span>Vectors</a></span></li><li><span><a href=\"#Sequences\" data-toc-modified-id=\"Sequences-3.15\"><span class=\"toc-item-num\">3.15&nbsp;&nbsp;</span>Sequences</a></span></li><li><span><a href=\"#Concatenation-(vectors)-and-Repeating\" data-toc-modified-id=\"Concatenation-(vectors)-and-Repeating-3.16\"><span class=\"toc-item-num\">3.16&nbsp;&nbsp;</span>Concatenation (vectors) and Repeating</a></span></li><li><span><a href=\"#Miss-those-elements-out\" data-toc-modified-id=\"Miss-those-elements-out-3.17\"><span class=\"toc-item-num\">3.17&nbsp;&nbsp;</span>Miss those elements out</a></span></li><li><span><a href=\"#Maximum-and-minimum\" data-toc-modified-id=\"Maximum-and-minimum-3.18\"><span class=\"toc-item-num\">3.18&nbsp;&nbsp;</span>Maximum and minimum</a></span></li><li><span><a href=\"#Vector-multiplication\" data-toc-modified-id=\"Vector-multiplication-3.19\"><span class=\"toc-item-num\">3.19&nbsp;&nbsp;</span>Vector multiplication</a></span></li><li><span><a href=\"#Matrices\" data-toc-modified-id=\"Matrices-3.20\"><span class=\"toc-item-num\">3.20&nbsp;&nbsp;</span>Matrices</a></span></li><li><span><a href=\"#Concatenation-(matrices);-rbind-and-cbind\" data-toc-modified-id=\"Concatenation-(matrices);-rbind-and-cbind-3.21\"><span class=\"toc-item-num\">3.21&nbsp;&nbsp;</span>Concatenation (matrices); rbind and cbind</a></span></li><li><span><a href=\"#Array-creation\" data-toc-modified-id=\"Array-creation-3.22\"><span class=\"toc-item-num\">3.22&nbsp;&nbsp;</span>Array creation</a></span></li><li><span><a href=\"#Reshape-and-flatten-matrices\" data-toc-modified-id=\"Reshape-and-flatten-matrices-3.23\"><span class=\"toc-item-num\">3.23&nbsp;&nbsp;</span>Reshape and flatten matrices</a></span></li><li><span><a href=\"#Indexing-and-accessing-elements-(slicing)\" data-toc-modified-id=\"Indexing-and-accessing-elements-(slicing)-3.24\"><span class=\"toc-item-num\">3.24&nbsp;&nbsp;</span>Indexing and accessing elements (slicing)</a></span></li><li><span><a href=\"#Assignment\" data-toc-modified-id=\"Assignment-3.25\"><span class=\"toc-item-num\">3.25&nbsp;&nbsp;</span>Assignment</a></span></li><li><span><a href=\"#Transpose-and-inverse\" data-toc-modified-id=\"Transpose-and-inverse-3.26\"><span class=\"toc-item-num\">3.26&nbsp;&nbsp;</span>Transpose and inverse</a></span></li><li><span><a href=\"#Sum\" data-toc-modified-id=\"Sum-3.27\"><span class=\"toc-item-num\">3.27&nbsp;&nbsp;</span>Sum</a></span></li><li><span><a href=\"#Sorting\" data-toc-modified-id=\"Sorting-3.28\"><span class=\"toc-item-num\">3.28&nbsp;&nbsp;</span>Sorting</a></span></li><li><span><a href=\"#Maximum-and-minimum\" data-toc-modified-id=\"Maximum-and-minimum-3.29\"><span class=\"toc-item-num\">3.29&nbsp;&nbsp;</span>Maximum and minimum</a></span></li><li><span><a href=\"#Matrix-manipulation\" data-toc-modified-id=\"Matrix-manipulation-3.30\"><span class=\"toc-item-num\">3.30&nbsp;&nbsp;</span>Matrix manipulation</a></span></li><li><span><a href=\"#Equivalents-to-&quot;size&quot;\" data-toc-modified-id=\"Equivalents-to-&quot;size&quot;-3.31\"><span class=\"toc-item-num\">3.31&nbsp;&nbsp;</span>Equivalents to \"size\"</a></span></li><li><span><a href=\"#Matrix--and-elementwise--multiplication\" data-toc-modified-id=\"Matrix--and-elementwise--multiplication-3.32\"><span class=\"toc-item-num\">3.32&nbsp;&nbsp;</span>Matrix- and elementwise- multiplication</a></span></li><li><span><a href=\"#Find;-conditional-indexing\" data-toc-modified-id=\"Find;-conditional-indexing-3.33\"><span class=\"toc-item-num\">3.33&nbsp;&nbsp;</span>Find; conditional indexing</a></span></li><li><span><a href=\"#File-input-and-output\" data-toc-modified-id=\"File-input-and-output-3.34\"><span class=\"toc-item-num\">3.34&nbsp;&nbsp;</span>File input and output</a></span></li><li><span><a href=\"#Basic-x-y-plots\" data-toc-modified-id=\"Basic-x-y-plots-3.35\"><span class=\"toc-item-num\">3.35&nbsp;&nbsp;</span>Basic x-y plots</a></span></li><li><span><a href=\"#Axes-and-titles\" data-toc-modified-id=\"Axes-and-titles-3.36\"><span class=\"toc-item-num\">3.36&nbsp;&nbsp;</span>Axes and titles</a></span></li><li><span><a href=\"#Log-plots\" data-toc-modified-id=\"Log-plots-3.37\"><span class=\"toc-item-num\">3.37&nbsp;&nbsp;</span>Log plots</a></span></li><li><span><a href=\"#Functions\" data-toc-modified-id=\"Functions-3.38\"><span class=\"toc-item-num\">3.38&nbsp;&nbsp;</span>Functions</a></span></li><li><span><a href=\"#Polar-plots\" data-toc-modified-id=\"Polar-plots-3.39\"><span class=\"toc-item-num\">3.39&nbsp;&nbsp;</span>Polar plots</a></span></li><li><span><a href=\"#Histogram-plots\" data-toc-modified-id=\"Histogram-plots-3.40\"><span class=\"toc-item-num\">3.40&nbsp;&nbsp;</span>Histogram plots</a></span></li><li><span><a href=\"#Contour-and-image-plots\" data-toc-modified-id=\"Contour-and-image-plots-3.41\"><span class=\"toc-item-num\">3.41&nbsp;&nbsp;</span>Contour and image plots</a></span></li><li><span><a href=\"#Perspective-plots-of-surfaces-over-the-x-y-plane\" data-toc-modified-id=\"Perspective-plots-of-surfaces-over-the-x-y-plane-3.42\"><span class=\"toc-item-num\">3.42&nbsp;&nbsp;</span>Perspective plots of surfaces over the x-y plane</a></span></li><li><span><a href=\"#Set-membership-operators\" data-toc-modified-id=\"Set-membership-operators-3.43\"><span class=\"toc-item-num\">3.43&nbsp;&nbsp;</span>Set membership operators</a></span></li><li><span><a href=\"#Statistics\" data-toc-modified-id=\"Statistics-3.44\"><span class=\"toc-item-num\">3.44&nbsp;&nbsp;</span>Statistics</a></span></li><li><span><a href=\"#Interpolation-and-regression\" data-toc-modified-id=\"Interpolation-and-regression-3.45\"><span class=\"toc-item-num\">3.45&nbsp;&nbsp;</span>Interpolation and regression</a></span></li><li><span><a href=\"#Polynomials,-root-finding\" data-toc-modified-id=\"Polynomials,-root-finding-3.46\"><span class=\"toc-item-num\">3.46&nbsp;&nbsp;</span>Polynomials, root finding</a></span></li></ul></li></ul></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dessiner des courbes avec le module `matplotlib`\n",
    "--- \n",
    "Le tracé de courbes scientifiques peut se faire à l'aide du module `matplotlib`.  \n",
    "`Matplotlib` est un package complet; `pylab` et `pyplot` sont des modules de `matplotlib` qui sont installés avec `matplotlib`.  \n",
    "`Pylab` associe les fonctions de `pyplot` (pour les tracés) avec les fonctionnalité du module `numpy` pour obtenir un environnement très proche de celui de MATLAB. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dans les notebook, pour que les figures s'affichent dans le notebook directement il faudra utiliser la commande magique\n",
    "```\n",
    "%matplotlib inline\n",
    "```\n",
    "Si on veut intéragir avec les figure, on pourra utiliser plutot\n",
    "```\n",
    "%matplotlib notebook\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut importer le module \n",
    "+ soit par l'instruction\n",
    "    ```\n",
    "    from matplotlib.pylab import *\n",
    "    ```\n",
    "    Cette instruction importe aussi le module `numpy` sans alias.\n",
    "\n",
    "+ soit par l'instruction\n",
    "    ```\n",
    "    import matplotlib.pyplot as plt\n",
    "    ```\n",
    "\n",
    "Dans le premier cas on pourra utiliser les commande \"à la MATLAB\", comme par exemple\n",
    "```\n",
    "from matplotlib.pylab import *\n",
    "x=linspace(-pi,pi,101)\n",
    "plot(x,cos(x))\n",
    "```\n",
    "dans le deuxième cas il faudra faire précéder toutes les instruction matplotlib par `plt` et celles numpy par `np`, comme par exemple\n",
    "```\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "x=np.linspace(-np.pi,np.pi,101)\n",
    "plt.plot(x,np.cos(x))\n",
    "```\n",
    "\n",
    "Lorsqu'il n'y a pas de risque de superpositions des `namespace` on utilisera `pylab`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "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": [
    "%matplotlib inline\n",
    "from matplotlib.pylab import *\n",
    "x=linspace(-pi, pi, 101)\n",
    "plot(x,cos(x));\n",
    "# savefig(\"m01.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut écrire et exécuter des script Python (qui utilisent Matplotlib) en ligne à l'adresse https://trinket.io/python/a8645625fd  \n",
    "Pour l'utiliser, on peut importer le module `pylab`. \n",
    "\n",
    "La référence complète de matplotlib est lisible à l'adresse: \n",
    "http://matplotlib.sourceforge.net/matplotlib.pylab.html \n",
    "Il est en particulier recommandé de regarder les *screenshots* (captures d'écrans), qui sont donnés avec le code utilisé pour les générer.\n",
    "\n",
    "Vous pouvez consulter aussi \n",
    "- http://jeffskinnerbox.me/notebooks/matplotlib-2d-and-3d-plotting-in-ipython.html\n",
    "- http://apprendre-python.com/page-creer-graphiques-scientifiques-python-apprendre\n",
    "- https://www.courspython.com/introduction-courbes.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1D\n",
    "\n",
    "Pour tracer le graphe d'une fonction $f\\colon[a,b]\\to\\mathbb{R}$, Python a besoin d'une grille de points $x_i$ où évaluer la fonction, ensuite il relie entre eux les points $(x_i,f(x_i))$ par des segments. \n",
    "Plus les points sont nombreux, plus le graphe est proche du graphe de la fonction $f$. \n",
    "Pour générer les points $x_i$ on peut utiliser \n",
    "- l'instruction `linspace(a,b,n+1)` qui construit la liste de $n+1$ éléments\n",
    "$$\n",
    "\\left[a,a+h,a+2h,\\dots,b=a+nh\\right]\n",
    "\\quad\\text{avec } h=\\frac{b-a}{n}\n",
    "$$\n",
    "- ou l'instruction `arange(a,b,h)` qui construit la liste de $n=E(\\frac{b-a}{h})+1$ éléments\n",
    "$$\n",
    "\\left[a,a+h,a+2h,\\dots,a+nh\\right]\n",
    "$$\n",
    " Dans ce cas, attention au dernier terme: avec des float les erreurs d'arrondis pourrait faire en sort que $b$ ne soit pas pris en compte.\n",
    "\n",
    "\n",
    "Voici un exemple avec une sinusoïde:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "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": [
    "%matplotlib inline\n",
    "from matplotlib.pylab import *\n",
    "x = linspace(-5,5,101) # x = [-5,-4.9,-4.8,...,5] with 101 elements\n",
    "y = sin(x) # operation is broadcasted to all elements of the array\n",
    "plot(x,y);\n",
    "#show()\n",
    "savefig(\"m02.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ou encore"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "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": [
    "from matplotlib.pylab import *\n",
    "x = arange(-5,5,0.1) # x = [-5,-4.9,-4.8,...,5] with 101 elements\n",
    "y = sin(x) # operation is broadcasted to all elements of the array\n",
    "plot(x,y);\n",
    "# show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On obtient une courbe sur laquelle on peut zoomer, modifier les marge et sauvegarder dans différents formats.  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plusieurs courbes sur le même repère  \n",
    "On peut même tracer plusieurs courbes sur la même figure. \n",
    "Par exemple, dans la figure suivante, on a tracé la même fonction: la courbe bleu correspond à la grille la plus grossière, la courbe rouge correspond à la grille la plus fine:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "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": [
    "from matplotlib.pylab import *\n",
    "a = linspace(-5,5,5) \n",
    "fa = sin(a) # matplotlib importe numpy qui redefinie les fonctions de base pour pouvoir les appliquer a un vecteur\n",
    "plot(a,fa,'b-',label=\"$f(a)$\");\n",
    "b = linspace(-5,5,101) \n",
    "fb = sin(b) \n",
    "plot(b,fb,'r-.',label=\"$f(b)$\" );\n",
    "legend();\n",
    "# savefig(\"m03.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pour **tracer plusieurs courbes sur le même repère**, on peut les mettre les unes à la suite des autres en spécifiant la couleur et le type de trait, changer les étiquettes des axes, donner un titre, ajouter une grille, une légende etc.\n",
    "\n",
    "Par exemple, dans le code ci-dessous `\"r-\"` indique que la première courbe est à tracer en rouge (red) avec un trait continu, et `\"g.\"` que la deuxième est à tracer en vert (green) avec des points. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "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": [
    "from matplotlib.pylab import *\n",
    "x = linspace(-5,5,101) \n",
    "y1 = sin(x)            \n",
    "y2 = cos(x)\n",
    "plot(x,y1,\"r-\",x,y2,\"g.\")\n",
    "legend(['sinus','cosinus'])\n",
    "xlabel('abscisses')\n",
    "ylabel('ordonnees')\n",
    "title('Comparaison de sin(x) et cos(x)')\n",
    "grid(True)\n",
    "# savefig(\"m04.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "soit encore"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "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": [
    "from matplotlib.pylab import *\n",
    "x = linspace(-5,5,101) \n",
    "y1 = sin(x)            \n",
    "y2 = cos(x)\n",
    "plot(x,y1,\"r-\",label=('sinus'))\n",
    "plot(x,y2,\"g.\",label=('cosinus'))\n",
    "legend()\n",
    "xlabel('abscisses')\n",
    "ylabel('ordonnees')\n",
    "title('Comparaison de sin(x) et cos(x)')\n",
    "grid(True)\n",
    "# savefig(\"m05.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quelques options de `pylab`:\n",
    "\n",
    "|             \t| `linestyle=`   \t|     \t| `color=` \t|     \t| `marker=`               \t|\n",
    "|-------------\t|----------------\t|-----\t|----------\t|-----\t|-----------------------\t|\n",
    "| `-`         \t| solid line     \t| `r` \t| red      \t| `.` \t| points                \t|\n",
    "| `--`        \t| dashed line    \t| `g` \t| green    \t| `,` \t| pixel                 \t|\n",
    "| `:`         \t| dotted line    \t| `b` \t| blue     \t| `o` \t| filled circles        \t|\n",
    "| `-.`        \t| dash-dot line  \t| `c` \t| cyan     \t| `v` \t| triangle down         \t|\n",
    "| `(0,(5,1))` \t| densely dashed \t| `m` \t| magenta  \t| `^` \t| triangle up           \t|\n",
    "|             \t|                \t| `y` \t| yellow   \t| `>` \t| triangle right        \t|\n",
    "|             \t|                \t| `w` \t| white    \t| `<` \t| triangle left symbols \t|\n",
    "|             \t|                \t| `k` \t| black    \t| `*` \t| star                  \t|\n",
    "|             \t|                \t|     \t|          \t| `+` \t| plus                  \t|\n",
    "|             \t|                \t|     \t|          \t| `s` \t| square                \t|\n",
    "|             \t|                \t|     \t|          \t| `p` \t| pentagon              \t|\n",
    "|             \t|                \t|     \t|          \t| `x` \t| x                     \t|\n",
    "|             \t|                \t|     \t|          \t| `X` \t| x filled              \t|\n",
    "|             \t|                \t|     \t|          \t| `d` \t| thin diamond          \t|\n",
    "|             \t|                \t|     \t|          \t| `D` \t| diamond               \t|\n",
    "\n",
    "Voir aussi\n",
    "+ https://matplotlib.org/api/markers_api.html\n",
    "+ https://matplotlib.org/examples/lines_bars_and_markers/marker_reference.html\n",
    "+ https://matplotlib.org/gallery/color/named_colors.html#sphx-glr-gallery-color-named-colors-py\n",
    "+ https://matplotlib.org/examples/lines_bars_and_markers/linestyles.html\n",
    "\n",
    "Voici un exemple d'utilisation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "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": [
    "from matplotlib.pylab import *\n",
    "x = linspace(-5,5,101) \n",
    "y1 = sin(x)            \n",
    "y2 = cos(x)          \n",
    "y3 = sin(x)+cos(x)\n",
    "plot(x,y1,color='r'         ,ls='-'      ,linewidth=2           ,label=('sinus'))\n",
    "plot(x,y2,color='tab:purple',ls=' '      ,lw=1       ,marker='.',label=('cosinus'))\n",
    "plot(x,y3,color='skyblue'   ,ls=(0,(5,1)),lw=1                  ,label=('cos+sin'))\n",
    "legend();\n",
    "# savefig(\"m06.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut déplacer la légende en spécifiant l'une des valeurs suivantes: \n",
    "\n",
    "`best`, `upper right`, `upper left`, `lower right`, `lower left`, `center right`, `center left`, `lower center`, `upper center`, `center`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "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": [
    "from matplotlib.pylab import *\n",
    "x = arange(-pi,pi,0.05*pi)\n",
    "plot(x,sin(x),'co',x,cos(x),'mD')\n",
    "legend(['sinus','cosinus'],loc='upper left')\n",
    "axis([-pi, pi, -1, 1]); # axis([xmin, xmax, ymin, ymax])\n",
    "# savefig(\"m07.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "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": [
    "from matplotlib.pylab import *\n",
    "\n",
    "a = linspace(-5,5,5) \n",
    "fa = sin(a) \n",
    "plot(a,fa,ls='--', lw=3, color=\"blue\", label=r\"$f(a)$\")\n",
    "b = linspace(-5,5,10) \n",
    "fb = sin(b) \n",
    "plot(b,fb,ls='--', lw=2.0, color=\"orange\", label=r\"$f(b)$\")\n",
    "c = linspace(-5,5,101) \n",
    "fc = sin(c) \n",
    "plot(c,fc,ls='-.', lw=0.5, color=\"green\", label=r\"$f(c)$\")\n",
    "\n",
    "plot([0], [0.5], lw=0.5, marker='o', color=\"cyan\")\n",
    "text(0, 0.6,r\"$\\sigma_i$\", horizontalalignment='center', fontsize=20)\n",
    "\n",
    "xlim(-5, 5)\n",
    "ylim(-1, 1)\n",
    "yticks([-1, -0.5, 0, 1])\n",
    "xticks([-4, -2, 0, 2])\n",
    "\n",
    "xlabel(\"$x$\", fontsize=18)\n",
    "ylabel(\"$y$\", fontsize=18)\n",
    "\n",
    "legend(bbox_to_anchor=(1.04,1),loc='upper left', ncol=1, fontsize=14, frameon=False);\n",
    "# savefig(\"m08.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plusieurs \"fenêtres\" graphiques  \n",
    "On génère deux fenêtres contenant chacune un graphe:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'cos')"
      ]
     },
     "execution_count": 100,
     "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"
    },
    {
     "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": [
    "from matplotlib.pylab import *\n",
    "x = arange(-pi,pi,0.05*pi)\n",
    "figure(1)\n",
    "plot(x, sin(x), 'r')\n",
    "title(\"sin\")\n",
    "# savefig(\"m20.png\")\n",
    "figure(2)\n",
    "plot(x, cos(x), 'g')\n",
    "title(\"cos\")\n",
    "# savefig(\"m21.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plusieurs repères dans la même fenêtre  \n",
    "La fonction `subplot(x,y,z)` subdivise la figure sous forme d'une matrice `(x,y)` et chaque case est numérotée, `z` étant le numéro de la case où afficher le graphe. La numérotation se fait de gauche à droite, puis de haut en bas, en commençant par $1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8f61c50100>]"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.pylab import *\n",
    "x = arange(-pi,pi,0.05*pi)\n",
    "\n",
    "figure(figsize=(10, 10), facecolor=\"#f1f1f1\")\n",
    "# axes coordinates as fractions of the canvas width and height\n",
    "#left, bottom, width, height = 0.1, 0.1, 0.8, 0.8\n",
    "#axes((left, bottom, width, height), facecolor=\"#e1e1e1\")\n",
    "\n",
    "subplot(4,3,1)\n",
    "plot(x, sin(x), 'r')\n",
    "subplot(4,3,5)\n",
    "plot(x, cos(x), 'g')\n",
    "subplot(4,3,9)\n",
    "plot(x, x*x, 'b')\n",
    "subplot(4,3,12)\n",
    "plot(x, exp(-x*x), 'm')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Personnalisation\n",
    "\n",
    "Matplotlib est très flexible. \n",
    "Quasiment tous les aspects d'une figure peuvent être configurés par l'utilisateur soit pour y ajouter des données, soit pour améliorer l'aspect esthétique. \n",
    "Plutôt que de vous faire une liste des fonctions qui permettent de faire ces actions, jvoici des exemples. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pylab import *\n",
    "\n",
    "xx=linspace(-pi,pi,101)\n",
    "\n",
    "# Changer la taille de la figure\n",
    "figure(figsize=(12,8))\n",
    "\n",
    "# Changer la taille de police par défaut\n",
    "rcParams.update({'font.size': 15})\n",
    "\n",
    "# Couleur spécifiée par son nom, ligne solide\n",
    "plot(xx, sin(xx - 0), color='blue', linestyle='solid', label='bleu')\n",
    "# Nom court pour la couleur, ligne avec des traits\n",
    "plot(xx, sin(xx - pi/4), color='g', linestyle='dashed', label='vert')\n",
    "# Valeur de gris entre 0 et 1, des traits et des points\n",
    "plot(xx, sin(xx - pi/2), color='0.75', linestyle='dashdot', label='gris')\n",
    "# Couleur spécifié en RGB, avec des points\n",
    "plot(xx, sin(xx - 3*pi/4), color='#FF0000', linestyle='dotted', label='rouge')\n",
    "\n",
    "# Les limites des axes, essayer aussi les arguments 'tight' et 'equal' \n",
    "# pour voir leur effet\n",
    "axis([-pi, pi, -1.5, 1.5]);\n",
    "\n",
    "# Le titre\n",
    "title(\"Un exemple de graphe\")\n",
    "\n",
    "# La légende est générée à partir de l'argument label de la fonction\n",
    "# plot. L'argument loc spécifie le placement de la légende\n",
    "legend(loc='lower left');\n",
    "\n",
    "# Titres des axes\n",
    "xlabel('x')\n",
    "ylabel('sin(x)');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ggplot', 'grayscale', 'tableau-colorblind10', 'seaborn-dark-palette', 'seaborn-darkgrid', 'bmh']\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pylab import *\n",
    "\n",
    "xx=linspace(-pi,pi,101)\n",
    "\n",
    "stiles_dispo=style.available[:6]\n",
    "print(stiles_dispo)\n",
    "\n",
    "# Notez la taille de la figure\n",
    "figure(figsize=(12,10))\n",
    "for i in range(len(stiles_dispo)):\n",
    "    # On peut ajouter des sous graphes ainsi\n",
    "    subplot(3,2,i+1)\n",
    "    style.use(stiles_dispo[i])\n",
    "    plot(xx, cos(xx))    \n",
    "    # Pour ajouter du texte\n",
    "    text(s=stiles_dispo[i], x=0, y=1, color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 400x240 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pylab import *\n",
    "\n",
    "# Style\n",
    "style.use('classic')\n",
    "\n",
    "# Dimension de la figure\n",
    "figure(figsize=(5,3))\n",
    "axes(facecolor='#E6E6E6')\n",
    "\n",
    "# Cadre en blanc\n",
    "grid(color='w', linestyle='solid')\n",
    "\n",
    "# Nous pouvons personnaliser les étiquettes des marqueurs\n",
    "# et leur appliquer une rotation\n",
    "marqueurs = [-3, -2, -1, 0, 1, 2, 3]\n",
    "xtick_labels = ['A', 'B', 'C', 'D', 'E', 'F']\n",
    "xticks(marqueurs, xtick_labels, rotation=30);\n",
    "\n",
    "# Chanegr la taille de police par défaut\n",
    "plt.rcParams.update({'font.size': 25})\n",
    "\n",
    "# Changer les couleur des barres\n",
    "x = np.random.randn(1000)\n",
    "hist(x, edgecolor='#E6E6E6', color='#EE6666');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Animations  \n",
    "Pour **afficher une animation** on utilisera le module `animation` de `matplotlib`. Voici un exemple avec deux méthodes différentes : la première utilise la commande magique `%matplotlib inline`, la deuxième  la commande magique `%matplotlib notebook` qui permet d'intéragir avec l'animation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "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": [
    "%reset -f\n",
    "%matplotlib inline\n",
    "\n",
    "from matplotlib.pylab import *\n",
    "import matplotlib.animation as animation\n",
    "from IPython.display import display, clear_output\n",
    "\n",
    "fig = figure()\n",
    "axis([0,3,-1,1])\n",
    "line, = plot([],[],lw=2) \n",
    "\n",
    "x = linspace(0,3,100)\n",
    "animate = lambda i: line.set_data(x, cos(2*pi*(x-0.01*i)))\n",
    "\n",
    "# CI\n",
    "plot(x,cos(2*pi*x))\n",
    "\n",
    "# Marche en temps\n",
    "for i in range(len(x)):\n",
    "    animate(i)\n",
    "    clear_output(wait=True)\n",
    "    display(fig)\n",
    "clear_output(wait=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='e2d6fd41-b488-43c5-b03c-c10c6d9e4c15'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\n",
       "\n",
       "mpl.get_websocket_type = function() {\n",
       "    if (typeof(WebSocket) !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof(MozWebSocket) !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert('Your browser does not have WebSocket support. ' +\n",
       "              'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "              'Firefox 4 and 5 are also supported but you ' +\n",
       "              'have to enable WebSockets in about:config.');\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = (this.ws.binaryType != undefined);\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById(\"mpl-warnings\");\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent = (\n",
       "                \"This browser does not support binary websocket messages. \" +\n",
       "                    \"Performance may be slow.\");\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen =  function () {\n",
       "            fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
       "            fig.send_message(\"send_image_mode\", {});\n",
       "            if (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.ratio});\n",
       "            }\n",
       "            fig.send_message(\"refresh\", {});\n",
       "        }\n",
       "\n",
       "    this.imageObj.onload = function() {\n",
       "            if (fig.image_mode == 'full') {\n",
       "                // Full images could contain transparency (where diff images\n",
       "                // almost always do), so we need to clear the canvas so that\n",
       "                // there is no ghosting.\n",
       "                fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "            }\n",
       "            fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "        };\n",
       "\n",
       "    this.imageObj.onunload = function() {\n",
       "        fig.ws.close();\n",
       "    }\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_header = function() {\n",
       "    var titlebar = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus () {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_message = function(type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function() {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
       "    }\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch(cursor)\n",
       "    {\n",
       "    case 0:\n",
       "        cursor = 'pointer';\n",
       "        break;\n",
       "    case 1:\n",
       "        cursor = 'default';\n",
       "        break;\n",
       "    case 2:\n",
       "        cursor = 'crosshair';\n",
       "        break;\n",
       "    case 3:\n",
       "        cursor = 'move';\n",
       "        break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_message = function(fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message(\"ack\", {});\n",
       "}\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function(fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = \"image/png\";\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src);\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig[\"handle_\" + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "}\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function(e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e)\n",
       "        e = window.event;\n",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\n",
       "\n",
       "    return {\"x\": x, \"y\": y};\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys (original) {\n",
       "  return Object.keys(original).reduce(function (obj, key) {\n",
       "    if (typeof original[key] !== 'object')\n",
       "        obj[key] = original[key]\n",
       "    return obj;\n",
       "  }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function(event, name) {\n",
       "    var canvas_pos = mpl.findpos(event)\n",
       "\n",
       "    if (name === 'button_press')\n",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.key_event = function(event, name) {\n",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, {key: value,\n",
       "                             guiEvent: simpleKeys(event)});\n",
       "    return false;\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
       "    if (name == 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message(\"toolbar_button\", {name: name});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\"];\n",
       "\n",
       "mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function() {\n",
       "        comm.close()\n",
       "    };\n",
       "    ws.send = function(m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function(msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data'])\n",
       "    });\n",
       "    return ws;\n",
       "}\n",
       "\n",
       "mpl.mpl_figure_comm = function(comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element.get(0);\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error(\"Failed to find cell for figure\", id, fig);\n",
       "        return;\n",
       "    }\n",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable()\n",
       "    $(fig.parent_element).html('<img src=\"' + dataURL + '\" width=\"' + width + '\">');\n",
       "    fig.close_ws(fig, msg);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.close_ws = function(fig, msg){\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function() {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message(\"ack\", {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\n",
       "    for(var toolbar_ind in mpl.toolbar_items){\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('tabindex', 0)\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function(event, name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager)\n",
       "        manager = IPython.keyboard_manager;\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which == 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_save = function(fig, msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "}\n",
       "\n",
       "\n",
       "mpl.find_output_cell = function(html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i=0; i<ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code'){\n",
       "            for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] == html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "}\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel != null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div id='933d6f8f-024a-4b9d-b299-cb4b635d33f1'></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Traceback (most recent call last):\n",
      "  File \"/usr/lib/python3/dist-packages/matplotlib/cbook/__init__.py\", line 216, in process\n",
      "    func(*args, **kwargs)\n",
      "  File \"/usr/lib/python3/dist-packages/matplotlib/animation.py\", line 1465, in _stop\n",
      "    self.event_source.remove_callback(self._loop_delay)\n",
      "AttributeError: 'NoneType' object has no attribute 'remove_callback'\n"
     ]
    }
   ],
   "source": [
    "%reset -f\n",
    "%matplotlib notebook\n",
    "%matplotlib notebook\n",
    "from matplotlib.pylab import *\n",
    "from matplotlib import animation\n",
    "\n",
    "x = linspace(0,3,100)\n",
    "\n",
    "# First set up the figure, the axis, and the plot element we want to animate\n",
    "fig = figure() # initialise la figure\n",
    "line, = plot([],[],lw=2) \n",
    "axis([0,3,-1,1])\n",
    "\n",
    "# Define the initialization function, which plots the background of each frame:\n",
    "# init = lambda : plot([],[]) \n",
    "init = lambda : plot(x,cos(2*pi*x))\n",
    "\n",
    "# Define the animation function, which is called for each new frame:\n",
    "animate = lambda i: line.set_data(x,cos(2*pi*(x-0.01*i)))\n",
    "\n",
    "# call the animator. blit=True means only re-draw the parts that have changed. \n",
    "ani = animation.FuncAnimation(fig, animate, init_func=init, frames=100, blit=False, interval=20, repeat=False)\n",
    "\n",
    "# Eventually\n",
    "# from IPython.display import HTML, Image\n",
    "# ani.save('animation.gif', writer='imagemagick', fps=60)\n",
    "# Image(url='animation.gif')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2D\n",
    "\n",
    "La représentation graphique de l’évolution d’une fonction $f$ de deux variables $x$ et $y$ n'est pas une tâche facile, surtout si le graphique en question est destiné à être imprimé. \n",
    "Dans ce type de cas, un graphe faisant apparaître les lignes de niveaux de la fonction en question peut être une solution intéressante et lisible. \n",
    "Commençons donc par considérer l'exemple simple d'une fonction de la forme:\n",
    "$$\n",
    " f(x,y)= \\frac{\\sin(x^2+y^2)}{x^2+y^2}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Le tracé de cette fonction en courbes de niveaux va nécessiter la création d’un maillage bidimensionnel permettant de stocker l’intervalle de chacune des variables. \n",
    "La fonction destinée à cela s’appelle `meshgrid` (incluse dans le module `NumPy`). \n",
    "On construit donc le maillage en question sur le rectangle $[-5;5]\\times[-5;5]$. \n",
    "La fonction `meshgrid` fait appel dans ce cas à deux fonctions `linspace` pour chacune des variables. \n",
    "`z` est ici un objet `array` qui contient les valeurs de la fonction $f$ sur chaque nœud du maillage. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pylab import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "xx=linspace(-2*pi,2*pi,101)\n",
    "yy=linspace(-2*pi,2*pi,101)\n",
    "\n",
    "X,Y = meshgrid(xx,yy)\n",
    "Z = X**2+Y**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "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": [
    "from mpl_toolkits import mplot3d\n",
    "ax = axes(projection='3d')\n",
    "ax.contour3D(X, Y, Z, 50, cmap='binary')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x7f8f7428a6a0>"
      ]
     },
     "execution_count": 110,
     "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": [
    "from mpl_toolkits import mplot3d\n",
    "ax = axes(projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4,cmap='viridis',edgecolor='none', alpha=0.5)\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z');\n",
    "ax.contour(X, Y, Z, zdir='z', offset=0, cmap=cm.coolwarm)\n",
    "ax.contour(X, Y, Z, zdir='x', offset=-2*pi, cmap=cm.coolwarm)\n",
    "ax.contour(X, Y, Z, zdir='y', offset=2*pi, cmap=cm.coolwarm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "\n",
    "ax1=subplot(1,2,1, projection='3d')\n",
    "ax1.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "ax1.view_init(30, 45)\n",
    "\n",
    "ax2=subplot(1,2,2, projection='3d')\n",
    "ax2.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "ax2.view_init(70, 30)\n",
    "\n",
    "fig.tight_layout()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits import mplot3d\n",
    "\n",
    "L, n = 2, 400\n",
    "x = linspace(-L, L, n)\n",
    "y = x.copy()\n",
    "X, Y = meshgrid(x, y)\n",
    "Z = exp(-(X**2 + Y**2))\n",
    "\n",
    "fig, ax = subplots(nrows=2, ncols=2, subplot_kw={'projection': '3d'})\n",
    "ax[0,0].plot_wireframe(X, Y, Z, rstride=40, cstride=40)\n",
    "ax[0,1].plot_surface(X, Y, Z, rstride=40, cstride=40, color='m')\n",
    "ax[1,0].plot_surface(X, Y, Z, rstride=12, cstride=12, color='m')\n",
    "ax[1,1].plot_surface(X, Y, Z, rstride=20, cstride=20, cmap=cm.hot)\n",
    "for axes in ax.flatten():\n",
    "    axes.set_xticks([-2, -1, 0, 1, 2])\n",
    "    axes.set_yticks([-2, -1, 0, 1, 2])\n",
    "    axes.set_zticks([0, 0.5, 1])\n",
    "fig.tight_layout()\n",
    "# show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "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": [
    "imshow(Z);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pour tracer l’évolution de $f$ en lignes de niveaux on utilisera les fonctions`contour` et `contourf` avec comme arguments les variables `x` et `y`, les valeurs de `z` correspondantes (et eventuellement le nombre de lignes de niveaux choisit). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "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": [
    "h = contour(X,Y,Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "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": [
    "h = contour(X,Y,Z,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "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": [
    "h = contourf(X,Y,Z,20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Par défaut, ces courbes de niveaux sont colorées en fonction de leur *altitude* $z$ correspondante. \n",
    "\n",
    "S’il n’est pas possible d’utiliser de la couleur, on peut imposer une couleur uniforme pour le graphe et utiliser des labels sur les lignes de niveaux afin de repérer leurs altitudes. \n",
    "La fonction en question s’appelle `clabel` et prend comme principal argument la variable graphe précédente. \n",
    "La première option `inline=1` impose d’écrire les valeurs sur les lignes de niveaux, les deux options suivantes gérant la taille de la police utilisée et le format d’écriture des valeurs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<a list of 6 text.Text objects>"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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