{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# plotnine-Beispiele"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Einfaches Streudiagramm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Importe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from plotnine import *\n",
    "from plotnine.data import mtcars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Streudiagramm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 640
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure Size: (640 x 480)>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(mtcars, aes(\"wt\", \"mpg\"))\n",
    "    + geom_point()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[plotnine.mapping.aes](https://plotnine.readthedocs.io/en/stable/generated/plotnine.mapping.aes.html) erstellt ästhetische Zuordnungen mit *Meilen je Gallone* `mpg` auf der y-Achse und *Gewicht der Autos* `wt` auf der x-Achse. [plotnine.geoms.geom_point](https://plotnine.readthedocs.io/en/stable/generated/plotnine.geoms.geom_point.html) erstellt dann ein Streudiagramm."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Farbliche Unterscheidung der Variablen"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 640
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure Size: (640 x 480)>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(mtcars, aes(\"wt\", \"mpg\", color=\"factor(gear)\"))\n",
    "    + geom_point()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Geglättetes lineares Modell mit Konfidenzintervallen\n",
    "\n",
    "   Mit [plotnine.stats.stat_smooth](https://plotnine.readthedocs.io/en/stable/generated/plotnine.stats.stat_smooth.html?highlight=stat_smooth) lassen sich geglättete  bedingte Mittelwerte berechnen, wobei `lm` ein lineares Modell zugrunde liegt: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 640
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure Size: (640 x 480)>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(mtcars, aes(\"wt\", \"mpg\", color=\"factor(gear)\"))\n",
    "    + geom_point()\n",
    "    + stat_smooth(method=\"lm\")\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5. Darstellung in separierten Feldern\n",
    "\n",
    "   Mit [plotnine.facets.facet_wrap](https://plotnine.readthedocs.io/en/stable/generated/plotnine.facets.facet_wrap.html) lassen sich die Felder trennen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 480,
       "width": 640
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure Size: (640 x 480)>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(\n",
    "    ggplot(mtcars, aes(\"wt\", \"mpg\", color=\"factor(gear)\"))\n",
    "    + geom_point()\n",
    "    + stat_smooth(method=\"lm\")\n",
    "    + facet_wrap(\"~gear\")\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interaktive Diagramme\n",
    "\n",
    "Zusammen mit [ipywidgets](https://jupyter-tutorial.readthedocs.io/de/latest/ipywidgets/index.html) lassen sich auch interaktive Diagramme erstellen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. Importe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import itertools\n",
    "\n",
    "from copy import copy\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import plotnine as p9\n",
    "\n",
    "from IPython.display import display\n",
    "from ipywidgets import widgets\n",
    "from plotnine.data import mtcars"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. Interaktives Streudiagramm erstellen\n",
    "\n",
    "   Im folgenden betrachten wir PS auf der x-Achse, Meilen je Gallone auf der y-Achse und unterscheiden farblich das Gewicht der Autos:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\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(\n",
       "            '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",
       "\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 = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(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 (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\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 toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\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",
       "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",
       "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], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\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",
       "    fig.canvas_div.style.cursor = msg['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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<Figure Size: (640 x 480)>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "p = (ggplot(mtcars, aes(x=\"hp\", y=\"mpg\", color=\"wt\"))\n",
    "     + p9.geom_point()\n",
    "     + p9.theme_linedraw()\n",
    "    )\n",
    "p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. Nun wählen wir die Autos anhand der Zylinderanzahl aus."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. 1. Zunächst bereiten wir die Liste vor, die wir verwenden werden, um Teilmengen von Daten auf der Grundlage der Anzahl von Zylindern auszuwählen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "cylList = np.unique(mtcars[\"cyl\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. 2. Diese Liste verwenden wir nun für ein Dropdown-Menü mit der Anzahl der Zylinder:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "cylSelect = widgets.Dropdown(\n",
    "    options=list(cylList),\n",
    "    value=cylList[1],\n",
    "    description=\"Cylinders:\",\n",
    "    disabled=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Die Widgets sollen dieselbe Darstellung aktualisieren können und nicht bei jeder Änderung einen neuen Plot erstellen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 1. Zunächst ermitteln wir die maximalen Bereiche der relevanten Variablen, um die Achsen bei Aktualisierungen konstant zu halten.\n",
    "\n",
    "      Mit `minWt` und `maxWt` erhalten wir die Spanne der Gewichte.\n",
    "      \n",
    "      Mit `wtOptions` wandeln wir das NumPy-Array in eine sortierte Python-Liste von eindeutigen Werte um.\n",
    "      \n",
    "      In `cylSelect` wird die erste Auswahl für das Dropdown-Menü der Zylinder-Anzahl festgelegt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "minWt = min(mtcars[\"wt\"])\n",
    "maxWt = max(mtcars[\"wt\"])\n",
    "wtOptions = list(\n",
    "    np.sort(np.unique(mtcars.loc[mtcars[\"cyl\"] == cylList[0], \"wt\"]))\n",
    ")\n",
    "\n",
    "minHP = min(mtcars[\"hp\"])\n",
    "maxHP = max(mtcars[\"hp\"])\n",
    "\n",
    "minMPG = min(mtcars[\"mpg\"])\n",
    "maxMPG = max(mtcars[\"mpg\"])\n",
    "\n",
    "cylSelect = widgets.Dropdown(\n",
    "    options=list(cylList),\n",
    "    value=cylList[1],\n",
    "    description=\"Cylinders:\",\n",
    "    disabled=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 2. Mit `get_current_artists` ermitteln wir dann alle Objekte, die gerendert werden sollen:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_current_artists():\n",
    "    # Return artists attached to all the matplotlib axes\n",
    "    axes = plt.gca()\n",
    "    return itertools.chain(\n",
    "        axes.lines, axes.collections, axes.artists, axes.patches, axes.texts\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 3. Nun erstellen wir die Funktion `plotUpdate`, die aufgerufen wird, um die Darstellung jedes Mal zu aktualisieren, wenn wir eine Auswahl ändern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = None\n",
    "axs = None\n",
    "\n",
    "\n",
    "def plotUpdate(*args):\n",
    "    # Use global variables for matplotlib’s figure and axis.\n",
    "    global fig, axs\n",
    "\n",
    "    # Get current values of the selection widget\n",
    "    cylValue = cylSelect.value\n",
    "\n",
    "    # Create a temporary dataset that is constrained by the user's selections.\n",
    "    tmpDat = mtcars.loc[(mtcars[\"cyl\"] == cylValue), :]\n",
    "\n",
    "    # Create plotnine's plot\n",
    "\n",
    "    # Using the maximum and minimum values we gatehred before, we can keep the plot axis from\n",
    "    # changing with the cyinder selection\n",
    "    p = (\n",
    "        ggplot(tmpDat, aes(x=\"hp\", y=\"mpg\", color=\"wt\"))\n",
    "        + p9.geom_point()\n",
    "        + p9.theme_linedraw()\n",
    "    )\n",
    "    if fig is None:\n",
    "        # If this is the first time a plot is made in the notebook, we let plotnine create a new\n",
    "        # matplotlib figure and axis.\n",
    "        fig = p.draw()\n",
    "        axs = fig.axes\n",
    "    else:\n",
    "        # p = copy(p)\n",
    "        # This helps keeping old selected data from being visualized after a new selection is made.\n",
    "        # We delete all previously reated artists from the matplotlib axis.\n",
    "        for artist in get_current_artists():\n",
    "            artist.remove()\n",
    "\n",
    "        # If a plot is being updated, we re-use the figure an axis created before.\n",
    "        p._draw_using_figure(fig, axs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 4. Nun beobachten wir, ob sich der Wert in unserem Dropdown-Menü der Zylinder-Anzahl ändert:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "cylSelect.observe(plotUpdate, \"value\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 5. Mit `display` wird das Widget dargestellt:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "95d635f429484e89bbb470ff29681ed0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Dropdown(description='Cylinders:', index=1, options=(4, 6, 8), value=6)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(cylSelect)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 6. Nun plotten wir das erste Bild mit Anfangswerten."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\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(\n",
       "            '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",
       "\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 = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
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       "    this.waiting = false;\n",
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       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
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       "            fig.send_message('set_device_pixel_ratio', {\n",
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       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
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       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
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       "        fig.ws.close();\n",
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       "    this.ws.onmessage = this._make_on_message_function(this);\n",
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       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
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       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
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       "                    // Chrome 84 implements new version of spec.\n",
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       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\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 toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\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",
       "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",
       "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], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\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",
       "    fig.canvas_div.style.cursor = msg['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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
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   "source": [
    "plotUpdate()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 7. Mit der Matplotlib-Funktion `tight_layout()` passen wir die Figur an die Abmessungen des Plots an:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/hk/s8m0bblj0g10hw885gld52mc0000gn/T/ipykernel_23701/2925123646.py:2: UserWarning: The figure layout has changed to tight\n"
     ]
    }
   ],
   "source": [
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. 8. Trick, damit das erste gerenderte Bild dem `tight_layout` entspricht. Ohne diesen Befehl würde die Figur erst nach der ersten Aktualisierung in ihre Abmessungen passen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "cylSelect.value = cylList[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5. Bereichsregler hinzufügen\n",
    "\n",
    "   Nun schränken wir mit einem Bereichsregler die Daten basierend auf dem Fahrzeuggewicht ein:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
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      },
      "text/plain": [
       "HBox(children=(Dropdown(description='Cylinders:', index=1, options=(4, 6, 8), value=6), SelectionRangeSlider(d…"
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       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\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(\n",
       "            '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",
       "\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 = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(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 (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\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 toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\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",
       "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",
       "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], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\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",
       "    fig.canvas_div.style.cursor = msg['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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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       "<IPython.core.display.HTML object>"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/hk/s8m0bblj0g10hw885gld52mc0000gn/T/ipykernel_23701/1448775928.py:89: UserWarning: The figure layout has changed to tight\n"
     ]
    }
   ],
   "source": [
    "# The first selection is a drop-down menu for number of cylinders\n",
    "cylSelect = widgets.Dropdown(\n",
    "    options=list(cylList),\n",
    "    value=cylList[1],\n",
    "    description=\"Cylinders:\",\n",
    "    disabled=False,\n",
    ")\n",
    "\n",
    "# The second selection is a range of weights\n",
    "wtSelect = widgets.SelectionRangeSlider(\n",
    "    options=wtOptions,\n",
    "    index=(0, len(wtOptions) - 1),\n",
    "    description=\"Weight\",\n",
    "    disabled=False,\n",
    ")\n",
    "\n",
    "widgetsCtl = widgets.HBox([cylSelect, wtSelect])\n",
    "\n",
    "\n",
    "# The range of weights needs to always be dependent on the cylinder selection.\n",
    "def updateRange(*args):\n",
    "    \"\"\"Updates the selection range from the slider depending on the cylinder selection.\"\"\"\n",
    "    cylValue = cylSelect.value\n",
    "\n",
    "    wtOptions = list(\n",
    "        np.sort(np.unique(mtcars.loc[mtcars[\"cyl\"] == cylValue, \"wt\"]))\n",
    "    )\n",
    "\n",
    "    wtSelect.options = wtOptions\n",
    "    wtSelect.index = (0, len(wtOptions) - 1)\n",
    "\n",
    "\n",
    "cylSelect.observe(updateRange, \"value\")\n",
    "\n",
    "# For the widgets to update the same plot, instead of creating one new image every time\n",
    "# a selection changes. We keep track of the matplotlib image and axis, so we create only one\n",
    "# figure and set of axis, for the first plot, and then just re-use the figure and axis\n",
    "# with plotnine's \"_draw_using_figure\" function.\n",
    "fig = None\n",
    "axs = None\n",
    "\n",
    "\n",
    "# This is the main function that is called to update the plot every time we chage a selection.\n",
    "def plotUpdate(*args):\n",
    "    # Use global variables for matplotlib's figure and axis.\n",
    "    global fig, axs\n",
    "\n",
    "    # Get current values of the selection widgets\n",
    "    cylValue = cylSelect.value\n",
    "    wrRange = wtSelect.value\n",
    "\n",
    "    # Create a temporary dataset that is constrained by the user's selections.\n",
    "    tmpDat = mtcars.loc[\n",
    "        (mtcars[\"cyl\"] == cylValue)\n",
    "        & (mtcars[\"wt\"] >= wrRange[0])\n",
    "        & (mtcars[\"wt\"] <= wrRange[1]),\n",
    "        :,\n",
    "    ]\n",
    "\n",
    "    # Create plotnine's plot\n",
    "\n",
    "    p = (\n",
    "        ggplot(tmpDat, aes(x=\"hp\", y=\"mpg\", color=\"wt\"))\n",
    "        + p9.geom_point()\n",
    "        + p9.theme_linedraw()\n",
    "        + p9.lims(x=[minHP, maxHP], y=[minMPG, maxMPG])\n",
    "        + p9.scale_color_continuous(limits=(minWt, maxWt))\n",
    "    )\n",
    "\n",
    "    if fig is None:\n",
    "        fig = p.draw()\n",
    "        axs = fig.axes\n",
    "    else:\n",
    "        for artist in get_current_artists():\n",
    "            artist.remove()\n",
    "        p._draw_using_figure(fig, axs)\n",
    "\n",
    "\n",
    "cylSelect.observe(plotUpdate, \"value\")\n",
    "wtSelect.observe(plotUpdate, \"value\")\n",
    "\n",
    "# Display the widgets\n",
    "display(widgetsCtl)\n",
    "\n",
    "# Plots the first image, with inintial values.\n",
    "plotUpdate()\n",
    "\n",
    "# Matplotlib function to make the image fit within the plot dimensions.\n",
    "plt.tight_layout()\n",
    "\n",
    "# Trick to get the first rendered image to follow the previous \"tight_layout\" command.\n",
    "# without this, only after the first update would the figure be fit inside its dimensions.\n",
    "cylSelect.value = cylList[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "6. Diagramm optimieren\n",
    "\n",
    "   Schließlich ändern wir noch einige Diagrammeigenschaften, um eine verständlichere Abbildung zu erhalten:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3526ef501074421eb36b8557ff8ae2c3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(Dropdown(description='Cylinders:', index=1, options=(4, 6, 8), value=6), SelectionRangeSlider(d…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "/* global mpl */\n",
       "window.mpl = {};\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(\n",
       "            '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",
       "\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 = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(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 (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute('tabindex', '0');\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;' +\n",
       "            'z-index: 2;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
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       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
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       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
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       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\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 toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\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",
       "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",
       "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], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.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,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\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",
       "    fig.canvas_div.style.cursor = msg['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.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\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(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\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(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "function getModifiers(event) {\n",
       "    var mods = [];\n",
       "    if (event.ctrlKey) {\n",
       "        mods.push('ctrl');\n",
       "    }\n",
       "    if (event.altKey) {\n",
       "        mods.push('alt');\n",
       "    }\n",
       "    if (event.shiftKey) {\n",
       "        mods.push('shift');\n",
       "    }\n",
       "    if (event.metaKey) {\n",
       "        mods.push('meta');\n",
       "    }\n",
       "    return mods;\n",
       "}\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        modifiers: getModifiers(event),\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\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",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, 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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(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 = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\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;\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",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\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.innerHTML =\n",
       "        '<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 / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<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 () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\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",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('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",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "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(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/hk/s8m0bblj0g10hw885gld52mc0000gn/T/ipykernel_23701/207462609.py:91: UserWarning: The figure layout has changed to tight\n"
     ]
    }
   ],
   "source": [
    "# The first selection is a drop-down menu for number of cylinders\n",
    "cylSelect = widgets.Dropdown(\n",
    "    options=list(cylList),\n",
    "    value=cylList[1],\n",
    "    description=\"Cylinders:\",\n",
    "    disabled=False,\n",
    ")\n",
    "\n",
    "# The second selection is a range of weights\n",
    "wtSelect = widgets.SelectionRangeSlider(\n",
    "    options=wtOptions,\n",
    "    index=(0, len(wtOptions) - 1),\n",
    "    description=\"Weight\",\n",
    "    disabled=False,\n",
    ")\n",
    "\n",
    "widgetsCtl = widgets.HBox([cylSelect, wtSelect])\n",
    "\n",
    "\n",
    "# The range of weights needs to always be dependent on the cylinder selection.\n",
    "def updateRange(*args):\n",
    "    \"\"\"Updates the selection range from the slider depending on the cylinder selection.\"\"\"\n",
    "    cylValue = cylSelect.value\n",
    "\n",
    "    wtOptions = list(\n",
    "        np.sort(np.unique(mtcars.loc[mtcars[\"cyl\"] == cylValue, \"wt\"]))\n",
    "    )\n",
    "\n",
    "    wtSelect.options = wtOptions\n",
    "    wtSelect.index = (0, len(wtOptions) - 1)\n",
    "\n",
    "\n",
    "cylSelect.observe(updateRange, \"value\")\n",
    "\n",
    "fig = None\n",
    "axs = None\n",
    "\n",
    "\n",
    "# This is the main function that is called to update the plot every time we chage a selection.\n",
    "def plotUpdate(*args):\n",
    "    # Use global variables for matplotlib's figure and axis.\n",
    "    global fig, axs\n",
    "\n",
    "    # Get current values of the selection widgets\n",
    "    cylValue = cylSelect.value\n",
    "    wrRange = wtSelect.value\n",
    "\n",
    "    # Create a temporary dataset that is constrained by the user's selections of\n",
    "    # number of cylinders and weight.\n",
    "    tmpDat = mtcars.loc[\n",
    "        (mtcars[\"cyl\"] == cylValue)\n",
    "        & (mtcars[\"wt\"] >= wrRange[0])\n",
    "        & (mtcars[\"wt\"] <= wrRange[1]),\n",
    "        :,\n",
    "    ]\n",
    "\n",
    "    # Create plotnine's plot showing all data ins smaller grey points, and\n",
    "    # the selected data with coloured points.\n",
    "    p = (\n",
    "        ggplot(tmpDat, aes(x=\"hp\", y=\"mpg\", color=\"wt\"))\n",
    "        + p9.geom_point(mtcars, color=\"grey\")\n",
    "        + p9.geom_point(size=3)\n",
    "        + p9.theme_linedraw()\n",
    "        + p9.xlim([minHP, maxHP])\n",
    "        + p9.ylim([minMPG, maxMPG])\n",
    "        + p9.scale_color_continuous(\n",
    "            name=\"spring\", limits=(np.floor(minWt), np.ceil(maxWt))\n",
    "        )\n",
    "        + p9.labs(x=\"Horse-Power\", y=\"Miles Per Gallon\", color=\"Weight\")\n",
    "    )\n",
    "\n",
    "    if fig is None:\n",
    "        fig = p.draw()\n",
    "        axs = fig.axes\n",
    "    else:\n",
    "        for artist in get_current_artists():\n",
    "            artist.remove()\n",
    "        p._draw_using_figure(fig, axs)\n",
    "\n",
    "\n",
    "cylSelect.observe(plotUpdate, \"value\")\n",
    "wtSelect.observe(plotUpdate, \"value\")\n",
    "\n",
    "# Display the widgets\n",
    "display(widgetsCtl)\n",
    "\n",
    "# Plots the first image, with inintial values.\n",
    "plotUpdate()\n",
    "\n",
    "# Matplotlib function to make the image fit within the plot dimensions.\n",
    "plt.tight_layout()\n",
    "\n",
    "# Trick to get the first rendered image to follow the previous \"tight_layout\" command.\n",
    "# without this, only after the first update would the figure be fit inside its dimensions.\n",
    "cylSelect.value = cylList[0]"
   ]
  }
 ],
 "metadata": {
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