TP1.ipynb

{
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   "cell_type": "markdown",
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   "source": [
    "<div id=\"Titre\"></div>\n",
    "\n",
    "# TP1 - Echelle de teinte\n",
    "   \n",
    "<h2>Travail demandé:</h2>\n",
    "\n",
    "<ol><li> Inscrire vos réponses, programmes, images dans les blocs réponse prévus pour construire votre compte rendu</li>\n",
    "<li> Vous pouvez tester et/ou modifier les différents morceaux de code proposés</li>\n",
    "<li> Sauvegardez régulièrement votre travail. Attention, la sauvegarde se fait dans un espace temporaire et le fichier sera perdu au bout de quelques heures. </li>\n",
    "<li> Téléchargez votre fichier au <b>format Notebook</b> si vous souhaitez pouvoir le <b>modifier plus tard</b>. Téléchargez le au <b> format html</b> si vous souhaitez simplement une <b>trace écrite</b> ou pour le rendre au professeur.</li></ol>"
   ]
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  {
   "cell_type": "code",
   "execution_count": 1,
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       "<script>\n",
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       "function code_toggle() {\n",
       "  if (code_show) {\n",
       "    $('div.input').each(function(id) {\n",
       "      el = $(this).find('.cm-variable:first');\n",
       "      if (id == 0 || el.text() == 'hide_toggle') {\n",
       "        $(this).hide();\n",
       "        $(this).parent().next().find('div.input').hide();\n",
       "        $(this).parent().next().find('div.output').hide();\n",
       "       \n",
       "      }\n",
       "    });\n",
       "\n",
       "    $('div.output_prompt').css('opacity', 0);\n",
       "  } else {\n",
       "    $('div.input').each(function(id) {\n",
       "    if (id == 0 ){\n",
       "      $(this).show();\n",
       "            $(this).parent().next().find('div.input').show();\n",
       "        $(this).parent().next().find('div.output').show();\n",
       "    }\n",
       "    });\n",
       "    $('div.output_prompt').css('opacity', 1);\n",
       "  \n",
       "  }\n",
       "  code_show = !code_show\n",
       "} \n",
       "$( document ).ready(code_toggle);\n",
       "</script>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 1,
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    }
   ],
   "source": [
    "# This is a cell to hide code snippets from displaying\n",
    "# This must be at first cell!\n",
    "\n",
    "from IPython.display import HTML\n",
    "\n",
    "hide_me = ''\n",
    "HTML('''<script>\n",
    "code_show=true; \n",
    "function code_toggle() {\n",
    "  if (code_show) {\n",
    "    $('div.input').each(function(id) {\n",
    "      el = $(this).find('.cm-variable:first');\n",
    "      if (id == 0 || el.text() == 'hide_toggle') {\n",
    "        $(this).hide();\n",
    "        $(this).parent().next().find('div.input').hide();\n",
    "        $(this).parent().next().find('div.output').hide();\n",
    "       \n",
    "      }\n",
    "    });\n",
    "\n",
    "    $('div.output_prompt').css('opacity', 0);\n",
    "  } else {\n",
    "    $('div.input').each(function(id) {\n",
    "    if (id == 0 ){\n",
    "      $(this).show();\n",
    "            $(this).parent().next().find('div.input').show();\n",
    "        $(this).parent().next().find('div.output').show();\n",
    "    }\n",
    "    });\n",
    "    $('div.output_prompt').css('opacity', 1);\n",
    "  \n",
    "  }\n",
    "  code_show = !code_show\n",
    "} \n",
    "$( document ).ready(code_toggle);\n",
    "</script>''')\n",
    "#<form action=\"javascript:code_toggle()\"><input style=\"opacity:0\" type=\"submit\" value=\"Click here to toggle on/off the raw code.\"></form>''')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fonction pour cacher une cellule\n",
    "# à exécuter une fois au début pour la mettre en mémoire\n",
    "\n",
    "from IPython.display import HTML\n",
    "import random\n",
    "\n",
    "\n",
    "\n",
    "def hide_toggle(for_next=True,texte=\"Montrer/cacher\"):\n",
    "    this_cell = \"\"\"$('div.cell.code_cell.rendered.selected')\"\"\"\n",
    "    next_cell = this_cell + '.next()'\n",
    "  \n",
    "\n",
    "    toggle_text = texte  # text shown on toggle link\n",
    "    target_cell = this_cell  # target cell to control with toggle\n",
    "    js_hide_current = ''  # bit of JS to permanently hide code in current cell (only when toggling next cell)\n",
    "\n",
    "    if for_next:\n",
    "        target_cell = next_cell\n",
    "        js_hide_current = this_cell + '.find(\"div.input\").hide();'+this_cell+ '.find(\"div.output\").hide();'\n",
    "\n",
    "    js_f_name = f'code_toggle_{random.randint(1,2**64)}'\n",
    "\n",
    "    html = \"\"\"\n",
    "        <script>\n",
    "            function {f_name}() {{\n",
    "                {cell_selector}.find('div.input').toggle();\n",
    "                {cell_selector}.find('div.output').toggle();\n",
    "                {this_cell}.find('div.input').hide();\n",
    "\n",
    "            }}\n",
    "             $('div.prompt').hide();\n",
    "        </script>\n",
    "\n",
    "        <form action=\"javascript:{f_name}()\"><input type=\"submit\" id=\"toggleButton\" value={toggle_text}></form>\n",
    "    \"\"\".format(\n",
    "        f_name=js_f_name,\n",
    "        cell_selector=target_cell,\n",
    "        js_hide_current=js_hide_current, \n",
    "        toggle_text=toggle_text,\n",
    "        this_cell=this_cell\n",
    "    )\n",
    "    \n",
    "\n",
    "    return HTML(html)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_5193272601884123634() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_5193272601884123634()\"><input type=\"submit\" id=\"toggleButton\" value=Installation_automatique_des_bibliothèques></form>\n",
       "    "
      ],
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       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Installation_automatique_des_bibliothèques\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: matplotlib in /home/camponovo/.local/lib/python3.7/site-packages (2.2.2)\n",
      "Requirement already satisfied: six>=1.10 in /usr/lib/python3/dist-packages (from matplotlib) (1.12.0)\n",
      "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (0.10.0)\n",
      "Requirement already satisfied: pytz in /home/camponovo/.local/lib/python3.7/site-packages (from matplotlib) (2019.1)\n",
      "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (1.0.1)\n",
      "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (2.3.0)\n",
      "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib) (2.7.5)\n",
      "Requirement already satisfied: numpy>=1.7.1 in /usr/lib/python3/dist-packages (from matplotlib) (1.16.2)\n",
      "Requirement already satisfied: setuptools in /usr/lib/python3/dist-packages (from kiwisolver>=1.0.1->matplotlib) (40.8.0)\n",
      "Requirement already satisfied: scipy in /usr/lib/python3/dist-packages (1.1.0)\n"
     ]
    }
   ],
   "source": [
    "from IPython.core.display import HTML\n",
    "try:\n",
    "    if biloute==1:\n",
    "        pass\n",
    "    print(\"ok\")\n",
    "except:\n",
    "    print(\"restart\")\n",
    "    biloute = 1\n",
    "    HTML(\"<script>Jupyter.notebook.execute_all_cells()</script>\")# Installation des bibliothèques à exécuter une fois au début\n",
    "    \n",
    "!pip install matplotlib\n",
    "!pip install scipy\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h3>Matériel :</h3>\n",
    "<ul><li>Arduino nano</li>\n",
    "    <li>Breadboard</li>\n",
    "    <li>Fils</li>\n",
    "    <li>Photoresistance</li>\n",
    "    <li>Resistance $1 k\\Omega$</li>\n",
    "    <li>laser rouge</li>\n",
    "    <li>4 cuves de spectroscopie notées \"4\", \"3\", \"2\" et \"1\" contenant des solutions aqueuses de sulfate de cuivre de concentration 0,05 mol/L, 0,10 mol/L, 0,20 mol/L et 0,40 mol/L respectivement</li>\n",
    "    <li>1 cuve de spectroscopie notée \"Blanc\" contenant uniquement le solvant (eau)</li>\n",
    "    <li>1 cuve de spectroscopie notée \"X\" contenant une solution de sulfate de cuivre de concentration 0,175 mol/L</li>\n",
    "    <li>Ordinateur</li></ul>\n",
    "    <br>\n",
    "<h3>Logiciels :</h3>\n",
    "<ul><li>Navigateur web type Mozilla firefox</li>\n",
    "    <li>IDE Arduino</li></ul>\n",
    "    <br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# imports à exécuter une fois au début\n",
    "from math import log\n",
    "from scipy.optimize import curve_fit\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sujet\n",
    "On dispose de 4 solutions aqueuses de sulfate de cuivre $Cu_{(aq)}^{2+} + SO_{4 (aq)}^{2-}$\n",
    "<br>\n",
    "Leur concentration massique est donnée dans le tableau suivant :\n",
    "\n",
    "\n",
    "| Identifiant | Concentration (g/L) |\n",
    "|-------------|---------------------|\n",
    "| Blanc       |                0    |\n",
    "| 1           |                64   |\n",
    "| 2           |                32   |\n",
    "| 3           |                16   |\n",
    "| 4           |                8    | \n",
    "\n",
    "On dispose aussi d'une <b>cuve \"X\"</b> contenant une solution aqueuse de sulfate de cuivre de concentration massique inconnue.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>1°)</b> Que peut-on dire de l'évolution de la couleur de la solution en fonction de la concentration ?"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>2°)</b> Encadrer alors à l'oeil la concentration de <b>la solution X</b> en comparant sa couleur à celle des solutions 1 à 4."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cette mesure est qualitative, elle permet de comparer des concentrations. Si on veut chiffrer cette valeur, il faut réaliser une mesure quantitative de cette couleur. Nous allons donc utiliser un composant dont la résistance varie en fonction de la lumière qu’il reçoit : <b>la photorésistance.</b>\n",
    "Pour déterminer la valeur de la résistance <b>$\\boldsymbol{R_{1}}$</b> de la photorésistance, on utilise une carte Arduino et une résistance de valeur connue <b>$\\boldsymbol{R_{2} = 1000\\ \\Omega}$</b>. Réalisez le montage de la <b>figure 1</b> sans brancher la carte à l’ordinateur.\n",
    "<p><center><b>Figure 1. Montage à Réaliser</b>\n",
    "<img src=\"TP1_figure1.png\"></center>\n",
    "Il est équivalent au montage ci-dessous :\n",
    "<center><b>Figure 2. Schéma électrique équivalent</b>\n",
    "<img src=\"TP1_figure2.png\"></center></p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>3°)</b> Quelle relation y-a-t-il entre $\\boldsymbol{U_0,\\ U_1\\ et\\ U_2}$ d'après la loi des mailles ?"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>4°)</b> Que peut-on dire de l'intensité <b>I</b> qui traverse $\\boldsymbol{R_1}$ et de celle qui traverse $\\boldsymbol{R_2}$ ?"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>5°)</b> Quelle relation y-a-t-il entre la tension $\\boldsymbol{U_2}$, la résistance $\\boldsymbol{R_2}$ et l'intensité <b>I</b> ?"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>6°)</b> Même question pour $\\boldsymbol{U_1{,}\\ R_1\\ et\\ I}$."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Le montage réalisé sur la carte Arduino nous permet de mesurer U2. On connaît U0 et R2. Ce qui nous intéresse ici est la valeur de R1.\n",
    "<p><b>7°)</b> Exprimer la valeur de la résistance <b>R<sub>1</sub></b> de la photorésistance en fonction de <b>U<sub>0</sub>, U<sub>2</sub> et R<sub>2</sub></b>.</p>"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "U<sub>2</sub> est mesuré par le convertisseur analogique numérique de la carte Arduino qui numérise une tension entre 0 et 5V sur 10 bits. Ainsi, elle nous renvoie une valeur entière entre 0 et 2<sup>10</sup> - 1; 0 pour une tension de 0V et 1023 pour une tension de 5V.\n",
    "<p><b>8°)</b> Quelle est la tension mesurée lorsque <b>la carte Arduino renvoie 534</b> ?</p>"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>9°)</b> Si on note <b>n</b> la valeur entière renvoyée par la carte Arduino, exprimer la valeur de la tension <b>U<sub>2</sub></b> mesurée."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>10°)</b> En déduire une expression de <b>R<sub>1</sub></b> en fonction de <b>U<sub>0</sub>, R<sub>2</sub> et n</b>."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>11°)</b> Complétez le programme Arduino <a href=\"./photoresistance.ino\" target=\"_blank\">photoresistance.ino</a> fourni pour qu'il renvoie la valeur de la résistance <b>R<sub>1</sub></b> environ <b>deux fois par seconde.</b>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a href=\"./photoresistance_cor.ino\" target=\"_blank\">correction</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>Réalisez le montage de la <b>figure 1.</b>, faites vérifier votre montage et votre programme puis téléversez le programme vers la carte Arduino. Attention de bien régler le <b style=\"color:red;\">type de carte, le port et le processeur</b>.</p>\n",
    "<p>Nous allons maintenant réaliser des mesures de l'intensité de la lumière qui traverse un échantillon de solution. Pour cela, placer le laser rouge en face de la photorésistance comme sur la <b>figure 3.</b> Ouvrir alors le <b>moniteur série</b> du logiciel Arduino. Réglez le débit binaire à la même valeur que dans votre programme (115200 ici). Vous pouvez alors lire la valeur de la résistance R<sub>1</sub> de la photorésistance.\n",
    "<p><center><b>Figure 3. Montage expérimental</b>\n",
    "<img src=\"TP1_figure3.jpg\"></center></p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>12°)</b> Positionnez les différentes cuves (blanc, 1, 2, 3, 4 et X) entre le laser et la photorésistance. Notez les valeurs obtenues <b style=\"color:red;\">dans des listes python ci-dessous</b> puis cliquez sur exécuter une fois terminé."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "R1 = [] #rentrer ici les valeurs de resistance dans l'ordre blanc, 4, 3, 2, 1 (celui de C)\n",
    "C = [0.,8.,16.,32.,64.] #et ici les concentrations correspondantes.\n",
    "Rx = 0 #rentrer ici la valeur de la résistance de la solution inconnue"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>13°)</b> Ecrire ci-dessous <b style=\"color:red;\">un programme python</b> permettant de tracer le graphique représentant $\\boldsymbol{R_1}$ <b>en fonction de la concentration</b> pour les solutions \"blanc\", 1, 2, 3, 4 sous la forme de croix puis exécutez le. Vous prendrez soin de mettre un titre, et des informations sur les deux axes.\n",
    "<p>Vous pourrez utiliser <a href=\"./methode_courbe.ipynb\" target=\"_blank\">la fiche méthode_courbe fournie</a>.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
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  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
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       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_4763538082543797983()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
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    "hide_toggle(texte=\"Correction\")"
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   "metadata": {},
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       "        alert('Your browser does not have WebSocket support.' +\n",
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       "    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, fig.canvas.height);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Données expérimentales obtenues lors des tests\n",
    "R1 = [602,681,890,1228,2600]\n",
    "C = [0.,8.,16.,32.,64.]\n",
    "\n",
    "#Graphique\n",
    "plt.figure(\"Question 13°)\")\n",
    "plt.plot(C,R1,\"+\")\n",
    "plt.title(\"Valeur de la photorésistance R1 en fonction de la concentration C\")\n",
    "plt.xlabel(\"Concentration C (g/L)\")\n",
    "plt.ylabel(\"Résistance R1 (ohm)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>14°)</b> Ecrire ci-dessous <b style=\"color:red;\">un programme python</b> permettant de construire la liste des $\\boldsymbol{log(R_1)}$ pour les différentes valeurs de $R_1$. Vous pouvez utiliser directement la fonction log car elle a déjà été importée au début de la feuille."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_6160853495857981842() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_6160853495857981842()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Correction\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "R1 = [602,681,890,1228,2600]\n",
    "C = [0.,8.,16.,32.,64.]\n",
    "\n",
    "logR1 = []\n",
    "for val in R1:\n",
    "    logR1.append(log(val))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>15°)</b> Ecrire ci-dessous <b style=\"color:red;\">un programme python</b> permettant de tracer le graphique représentant $\\boldsymbol{log(R_1)}$ <b>en fonction de la concentration</b> pour les solutions \"blanc\", 1, 2, 3, 4 sous la forme de croix puis exécutez le. Vous prendrez soin de mettre un titre, et des informations sur les deux axes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_9294444690525619492() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_9294444690525619492()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Correction\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "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, fig.canvas.height);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(\"Question 15°)\")  \n",
    "plt.plot(C,logR1,\"+\")\n",
    "plt.title(\"log(R1) en fonction de la concentration C\")\n",
    "plt.xlabel(\"Concentration C (g/L)\")\n",
    "plt.ylabel(\"log(R1)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>16°)</b> Quelle est l'allure de la courbe précédente ? \n",
    "<p>Quelle fonction mathématique vous semble adaptée pour modéliser cette série de valeurs ?</p>"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On peut s'affranchir de la quantité de lumière absorbée par l'eau et la cuve en plastique en traçant $\\boldsymbol{log(R_1)\\ -\\ log(R_1blanc)}$<b> en fonction de la concentration massique.</b>\n",
    "<p><b>17°)</b> Ecrire ci-dessous <b style=\"color:red;\">un programme python</b> permettant de construire une liste <b>logR1moinslogR0</b> regroupant ces valeurs.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_7072372002224339492() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_7072372002224339492()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
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       "<IPython.core.display.HTML object>"
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    "hide_toggle(texte=\"Correction\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Construction de la liste calculée à partir des valeurs expérimentales\n",
    "logR1moinslogR0 = [log(val)-log(R1[0]) for val in R1]\n",
    "\n",
    "\n",
    "#Ou alors on peut l'écrire en utilisant une boucle:\n",
    "R0 = R1[0] #valeur du blanc\n",
    "\n",
    "logR1moinslogR0 = []\n",
    "for i in range(len(R1)):\n",
    "    logR1moinslogR0.append(log(R1[i]) - log(R0))\n",
    "    \n",
    "#Il n'y a pas de mauvaise méthode, il suffit d'utiliser celle que vous comprenez le mieux"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p><b>18°)</b> Ecrire ci-dessous <b style=\"color:red;\">un programme python</b> permettant <b>modéliser</b> cette série de données par une <b>fonction linéaire</b> et afficher sur un même <b>graphique</b> les points expérimentaux, le modèle et l'équation du modèle.</p>\n",
    "<p>Vous pourrez utiliser <a href=\"./methode_modele.ipynb\" target=\"_blank\">la fiche méthode_modele fournie</a>.</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_4398354498495623095() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_4398354498495623095()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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   "source": [
    "hide_toggle(texte=\"Correction\")"
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  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "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, fig.canvas.height);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(\"Question 18°)\")\n",
    "\n",
    "#Tracé des points expérimentaux avec quelques paramètres facultatifs\n",
    "plt.plot(C,logR1moinslogR0,\"+\",markersize=10.,markeredgewidth=3.,label=\"points expérimentaux\")\n",
    "\n",
    "#Calcul du modèle\n",
    "def lineaire(x,a):\n",
    "    return a*x    \n",
    "params,covariance = curve_fit(lineaire,C,logR1moinslogR0)\n",
    "\n",
    "#Construction de la liste de valeurs pour le modèle\n",
    "modele=[]\n",
    "x = C+[70.]\n",
    "for i in x:\n",
    "    modele.append(lineaire(i,*params))\n",
    "    \n",
    "#Tracé du modèle (avec affichage de l'équation)\n",
    "plt.plot(x,modele,label=\"modele: Y = {:.2E} C\".format(*params))\n",
    "\n",
    "plt.xlim([0.,70.])\n",
    "plt.ylim([0.,1.75])\n",
    "plt.xlabel(\"Concentration C (g/L)\")\n",
    "plt.ylabel(\"log(R1) - log(R1_blanc)\")\n",
    "plt.title(\"Utilisation d'une photorésistance pour mesurer une concentration\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>19°)</b> Ecrire ci-dessous <b style=\"color:red;\">un programme python</b> permettant de calculer la valeur de $\\boldsymbol{log(R_X)\\ -\\ log(R_0)}$ pour la solution inconnue X et de la stocker dans une variable Ax puis de l'afficher. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_3683543465718412435() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_3683543465718412435()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Correction\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6332490389788763\n"
     ]
    }
   ],
   "source": [
    "#On a obtenu expérimentalement R = 1134 pour la solution X\n",
    "Rx = 1134\n",
    "Ax = log(Rx) - log(R1[0])\n",
    "print(Ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>20°)</b> Utilisez le graphique de la question 18°) et déplacez le curseur de la souris le long de la droite modèle. Par lecture graphique, déterminez la valeur de la concentration Cx de la solution inconnue."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<b>21°)</b> Calculez <b style=\"color:red;\">à l'aide d'un programme python</b> la concentration massique de la solution X à partir de l'équation du modèle de la question 18°) et de la valeur de Ax."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_6698006594315869984() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_6698006594315869984()\"><input type=\"submit\" id=\"toggleButton\" value=Correction></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Correction\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "La concentration massique est de 27.85 g/L\n"
     ]
    }
   ],
   "source": [
    "#Comme log(R) - log(Rblanc) = 0.0227 * C, alors C = (log(R) - log(Rblanc)) / 0.0227\n",
    "Cm = Ax / params[0]\n",
    "print(\"La concentration massique est de {:.2f} g/L\".format(Cm))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_4105611516772902171() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_4105611516772902171()\"><input type=\"submit\" id=\"toggleButton\" value=Pour_aller_plus_loin></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Pour_aller_plus_loin\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "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, fig.canvas.height);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Affichage sur le graphique du tracé de lecture et de la valeur pour démonstration en classe\n",
    "\n",
    "#On a obtenu expérimentalement R = 1134 pour la solution X\n",
    "Rx = 1134\n",
    "Ax = log(Rx)-log(R1[0])\n",
    "\n",
    "plt.figure(\"Aller plus loin\")\n",
    "\n",
    "#idem 18°)\n",
    "plt.plot(C,logR1moinslogR0,\"+\",markersize=10.,markeredgewidth=3.,label=\"points expérimentaux\")\n",
    "\n",
    "def lineaire(x,a):\n",
    "    return a*x\n",
    "params,covariance = curve_fit(lineaire,C,logR1moinslogR0)\n",
    "\n",
    "modele=[]\n",
    "x = C+[70.]\n",
    "for i in x:\n",
    "    modele.append(lineaire(i,*params))\n",
    "\n",
    "plt.plot(x,modele,label=\"modele: Y = {:.2E} C\".format(*params))\n",
    "\n",
    "#Affichage de la valeur obtenue \n",
    "plt.plot([0],[Ax],marker=\"d\",color=\"red\",label=\"Solution inconnue: C = {:.2f} $g.L^{{-1}}$\".format(Ax/params[0]))\n",
    "\n",
    "#Affichage de la ligne rouge correspondant à la lecture graphique \n",
    "plt.plot([0,Ax/params[0],Ax/params[0]],[Ax,Ax,0],color=\"red\")\n",
    "\n",
    "plt.xlim([0.,70.])\n",
    "plt.ylim([0.,1.75])\n",
    "plt.xlabel(\"Concentration C (g/L)\")\n",
    "plt.ylabel(\"log(R1) - log(R1_blanc)\")\n",
    "plt.title(\"Détermination de la concentration d'une solution inconnue\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Une petite remarque, on n'est même pas obligé ici de partir sur un modèle linéaire comme le suggère la loi de Beer-Lambert, on peut utiliser une loi affine avec pour ordonnée à l'origine la valeur pour le blanc."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <script>\n",
       "            function code_toggle_14703092081885543094() {\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.input').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').next().find('div.output').toggle();\n",
       "                $('div.cell.code_cell.rendered.selected').find('div.input').hide();\n",
       "\n",
       "            }\n",
       "             $('div.prompt').hide();\n",
       "        </script>\n",
       "\n",
       "        <form action=\"javascript:code_toggle_14703092081885543094()\"><input type=\"submit\" id=\"toggleButton\" value=Modèle_Affine></form>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hide_toggle(texte=\"Modèle_Affine\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "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, fig.canvas.height);\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\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "logR1 = [log(i) for i in R1]\n",
    "plt.figure(\"Modele affine\")\n",
    "def affine(x,a,b):\n",
    "    return a * x + b\n",
    "    \n",
    "params,covariance = curve_fit(affine,C,logR1)\n",
    "\n",
    "modele=[]\n",
    "x = C+[70.]\n",
    "for i in x:\n",
    "    modele.append(affine(i,*params))\n",
    "plt.plot(x,modele,label=\"modele: Y = {:.2E} C {:+.2E}\".format(*params))\n",
    "\n",
    "Rx = 1134\n",
    "logRx = log(Rx)\n",
    "\n",
    "plt.plot([0],[logRx],marker=\"d\",color=\"red\",label=\"Solution inconnue: C = {:.2f} g.L\\u207B\\u00B9\".format((logRx-params[1])/params[0]))\n",
    "plt.plot([0,(logRx-params[1])/params[0],(logRx-params[1])/params[0]],[logRx,logRx,0],color=\"red\")\n",
    "\n",
    "plt.plot(C,logR1,\"+\",markersize=10.,markeredgewidth=3.,label=\"points expérimentaux\")\n",
    "plt.xlim([0.,70.])\n",
    "plt.ylim([5.5,8.5])\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h2><a href=\"#Titre\">Retour au début du TP</a></h2>"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Format de la Cellule Texte Brut",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3rc1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}