Example-2.1-case-2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b16ccb14",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from utils import *\n",
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6a06026c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "r = k/h**2 = 0.5\n",
      "Number of discretization on x: 11\n",
      "Number of discretization on t: 21\n"
     ]
    }
   ],
   "source": [
    "L = 1\n",
    "T = .1\n",
    "\n",
    "h = .1\n",
    "k = 0.005\n",
    "\n",
    "r = k / h**2\n",
    "print('r = k/h**2 = %g' % r)\n",
    "\n",
    "Nx = int(np.ceil(L / h)) + 1\n",
    "Nt = int(np.ceil(T / k)) + 1\n",
    "\n",
    "print('Number of discretization on x:', Nx)\n",
    "print('Number of discretization on t:', Nt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3e255551",
   "metadata": {},
   "outputs": [],
   "source": [
    "@np.vectorize\n",
    "def initial(x):\n",
    "    if 0 <= x <= 1 / 2:\n",
    "        return 2 * x\n",
    "    elif 1 / 2 <= x <= 1:\n",
    "        return 2 * (1 - x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1093e809",
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([i * h for i in range(Nx)])\n",
    "t = np.array([i * k for i in range(Nt)])\n",
    "\n",
    "u0 = initial(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2e15648b",
   "metadata": {},
   "outputs": [],
   "source": [
    "u = np.zeros((Nt, Nx))\n",
    "u[0, :] = u0\n",
    "\n",
    "# for j in range(Nt - 1):\n",
    "#     for i in range(1, Nx - 1):\n",
    "#         u[j + 1, i] = r * u[j, i - 1] + (1 - 2 * r) * u[j, i] + r * u[j, i + 1]\n",
    "\n",
    "# vectorized form\n",
    "for j in range(Nt - 1):\n",
    "    u[j + 1, 1:-1] = r * u[j, :-2] + (1 - 2 * r) * u[j, 1:-1] + r * u[j, 2:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "be837689",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒═══════════════╤═══════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤════════╤═══════╕\n",
      "│       x       │  0.0  │  0.1   │  0.2   │  0.3   │  0.4   │  0.5   │  0.6   │  0.7   │  0.8   │  0.9   │  1.0  │\n",
      "╞═══════════════╪═══════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪════════╪═══════╡\n",
      "│   j=0(t=0)    │   0   │  0.2   │  0.4   │  0.6   │  0.8   │   1    │  0.8   │  0.6   │  0.4   │  0.2   │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=1(t=0.005)  │   0   │  0.2   │  0.4   │  0.6   │  0.8   │  0.8   │  0.8   │  0.6   │  0.4   │  0.2   │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│  j=2(t=0.01)  │   0   │  0.2   │  0.4   │  0.6   │  0.7   │  0.8   │  0.7   │  0.6   │  0.4   │  0.2   │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=3(t=0.015)  │   0   │  0.2   │  0.4   │  0.55  │  0.7   │  0.7   │  0.7   │  0.55  │  0.4   │  0.2   │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│  j=4(t=0.02)  │   0   │  0.2   │ 0.375  │  0.55  │ 0.625  │  0.7   │ 0.625  │  0.55  │ 0.375  │  0.2   │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=5(t=0.025)  │   0   │ 0.1875 │ 0.375  │  0.5   │ 0.625  │ 0.625  │ 0.625  │  0.5   │ 0.375  │ 0.1875 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│  j=6(t=0.03)  │   0   │ 0.1875 │ 0.3438 │  0.5   │ 0.5625 │ 0.625  │ 0.5625 │  0.5   │ 0.3438 │ 0.1875 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=7(t=0.035)  │   0   │ 0.1719 │ 0.3438 │ 0.4531 │ 0.5625 │ 0.5625 │ 0.5625 │ 0.4531 │ 0.3438 │ 0.1719 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│  j=8(t=0.04)  │   0   │ 0.1719 │ 0.3125 │ 0.4531 │ 0.5078 │ 0.5625 │ 0.5078 │ 0.4531 │ 0.3125 │ 0.1719 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=9(t=0.045)  │   0   │ 0.1562 │ 0.3125 │ 0.4102 │ 0.5078 │ 0.5078 │ 0.5078 │ 0.4102 │ 0.3125 │ 0.1562 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=10(t=0.05)  │   0   │ 0.1562 │ 0.2832 │ 0.4102 │ 0.459  │ 0.5078 │ 0.459  │ 0.4102 │ 0.2832 │ 0.1562 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=11(t=0.055) │   0   │ 0.1416 │ 0.2832 │ 0.3711 │ 0.459  │ 0.459  │ 0.459  │ 0.3711 │ 0.2832 │ 0.1416 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=12(t=0.06)  │   0   │ 0.1416 │ 0.2563 │ 0.3711 │ 0.415  │ 0.459  │ 0.415  │ 0.3711 │ 0.2563 │ 0.1416 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=13(t=0.065) │   0   │ 0.1282 │ 0.2563 │ 0.3357 │ 0.415  │ 0.415  │ 0.415  │ 0.3357 │ 0.2563 │ 0.1282 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=14(t=0.07)  │   0   │ 0.1282 │ 0.2319 │ 0.3357 │ 0.3754 │ 0.415  │ 0.3754 │ 0.3357 │ 0.2319 │ 0.1282 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=15(t=0.075) │   0   │ 0.116  │ 0.2319 │ 0.3036 │ 0.3754 │ 0.3754 │ 0.3754 │ 0.3036 │ 0.2319 │ 0.116  │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=16(t=0.08)  │   0   │ 0.116  │ 0.2098 │ 0.3036 │ 0.3395 │ 0.3754 │ 0.3395 │ 0.3036 │ 0.2098 │ 0.116  │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=17(t=0.085) │   0   │ 0.1049 │ 0.2098 │ 0.2747 │ 0.3395 │ 0.3395 │ 0.3395 │ 0.2747 │ 0.2098 │ 0.1049 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=18(t=0.09)  │   0   │ 0.1049 │ 0.1898 │ 0.2747 │ 0.3071 │ 0.3395 │ 0.3071 │ 0.2747 │ 0.1898 │ 0.1049 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│ j=19(t=0.095) │   0   │ 0.0949 │ 0.1898 │ 0.2484 │ 0.3071 │ 0.3071 │ 0.3071 │ 0.2484 │ 0.1898 │ 0.0949 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│  j=20(t=0.1)  │   0   │ 0.0949 │ 0.1717 │ 0.2484 │ 0.2778 │ 0.3071 │ 0.2778 │ 0.2484 │ 0.1717 │ 0.0949 │   0   │\n",
      "├───────────────┼───────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼────────┼───────┤\n",
      "│       x       │   0   │  0.1   │  0.2   │  0.3   │  0.4   │  0.5   │  0.6   │  0.7   │  0.8   │  0.9   │   1   │\n",
      "╘═══════════════╧═══════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧════════╧═══════╛\n"
     ]
    }
   ],
   "source": [
    "print_table(u, x, t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "66ec12c2",
   "metadata": {},
   "outputs": [
    {
     "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",
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       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
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       "\n",
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       "\n",
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       "    this._init_toolbar(this);\n",
       "\n",
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       "    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",
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       "    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(\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",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
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       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
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       "        '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('style', 'box-sizing: content-box;');\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",
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       "    rubberband_canvas.setAttribute(\n",
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       "    );\n",
       "\n",
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       "    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",
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       "    }\n",
       "\n",
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       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
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       "                    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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "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"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x7faa17425190>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "animate_line(u, t, sampling=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "4eb57be9",
   "metadata": {
    "scrolled": false
   },
   "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = 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(\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",
       "    );\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('style', 'box-sizing: content-box;');\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; position: absolute; left: 0; top: 0; 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",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\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",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.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",
       "    this.rubberband_canvas.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",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.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",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // 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 icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\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",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "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"
    },
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ICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgIRDP/roo+WUU04pV111VXnooYe6W3nb295WVlpppbL55puXOeaYI7plBSTChgopIKg5RlxGARkxMlxAAcFNMuJCCsiIkeECCghuElQhBSSY49prry1rrbVWmX766csaa6xR5pprru5WHn744XLppZeWZ555plx88cVlueWWG/GtKyAjRoYLKCC4SUZUSAEZES7kFysgyFlGVEoBGREu5BcrIMhZMKUUkGCKFVdcsSy55JLlhBNOKFNMMcXLbmHMmDFlm222KTfddFP37MjEjueee67Uf8Y/3jrboq+4zaAiNjLfLG/DdhutYgrIaJF8Y25HAXljuI/md1VARpPmG3NbCsgbw300v6sCMpo0h++2FJBg0+mmm65cf/31ZdFFF33V9C233FKWXnrp8uyzz0701g866KBy8MEHv+xrpphyxjLlVDMHrfoRUUD6sdPEWs479fDeP+t5KyD9v48qIP3fUAHp/4YKSP83nJxnoIAEdOebb75OHDbbbLNXTZ966qnlwAMPLHfddddEb91nQAL4PYj4DEgPRppIRQWk3/vV9gpI/zdUQPq/oQLS/w0n5xkoIAHd4447ruy+++5l6623LquvvvorrgE56aSTytFHH1222267Ed+614CMGBkuoIDgJhlRIQVkRLiQX6yAIGcZUSkFZES4kF+sgCBnwZRSQMIpzjrrrHLssceW6667rrz44ovdrUw11VRl2WWXLbvttlvZeOONo1tWQCJsqJACgppjxGUUkBEjwwUUENwkIy6kgIwYGS6ggOAmQRVSQP7LOf7zn/+U+pa89Zh99tnLNNNM81/dogLyX+FDhBUQxAxxCQUkRocJKiCYKeIiCkiMDhNUQDBTIIsoILBZFBDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE9120kAAAYGUlEQVQ4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgoIbGgFBDZIUEcBCaCBIgoIaIywigISggPFFBDQGGEVBSQE10hMAYENrYDABgnqKCABNFBEAQGNEVZRQEJwoJgCAhojrKKAhOAaiSkgsKEVENggQR0FJIAGiiggoDHCKgpICA4UU0BAY4RVFJAQXCMxBQQ2tAICGySoo4AE0EARBQQ0RlhFAQnBgWIKCGiMsIoCEoJrJKaAwIZWQGCDBHUUkAAaKKKAgMYIqyggIThQTAEBjRFWUUBCcI3EFBDY0AoIbJCgjgISQANFFBDQGGEVBSQEB4opIKAxwioKSAiukZgCAhtaAYENEtRRQAJooIgCAhojrKKAhOBAMQUENEZYRQEJwTUSU0BgQysgsEGCOgpIAA0UUUBAY4RVFJAQHCimgIDGCKsoICG4RmIKCGxoBQQ2SFBHAQmggSIKCGiMsIoCEoIDxRQQ0BhhFQUkBNdITAGBDa2AwAYJ6iggATRQRAEBjRFWUUBCcKCYAgIaI6yigITgGokpILChFRDYIEEdBSSABoooIKAxwioKSAgOFFNAQGOEVRSQEFwjMQUENrQCAhskqKOABNBAEQUENEZYRQEJwYFiCghojLCKAhKCaySmgMCGVkBggwR1FJAAGiiigIDGCKsoICE4UEwBAY0RVlFAQnCNxBQQ2NAKCGyQoI4CEkADRRQQ0BhhFQUkBAeKKSCgMcIqCkgIrpGYAgIbWgGBDRLUUUACaKCIAgIaI6yigITgQDEFBDRGWEUBCcE1ElNAYEMrILBBgjoKSAANFFFAQGOEVRSQEBwopoCAxgirKCAhuEZiCghsaAUENkhQRwEJoIEiCghojLCKAhKCA8UUENAYYRUFJATXSEwBgQ2tgMAGCeooIAE0UEQBAY0RVlFAQnCgmAICGiOsooCE4BqJKSCwoRUQ2CBBHQUkgAaKKCCgMcIqCkgIDhRTQEBjhFUUkBBcIzEFBDa0AgIbJKijgATQQBEFBDRGWEUBCcGBYgoIaIywigISgmskpoDAhlZAYIMEdRSQABooooCAxgirKCAhOFBMAQGNEVZRQEJwjcQUENjQCghskKCOAhJAA0UUENAYYRUFJAQHiikgoDHCKgpICK6RmAICG1oBgQ0S1FFAAmigiAICGiOsooCE4EAxBQQ0RlhFAQnBNRJTQGBDKyCwQYI6CkgADRRRQEBjhFUUkBAcKKaAgMYIqyggIbhGYgpII0O/2mk+99xz5fDDDy/77rtvmXbaaYeSxLCfo+fX/7utG/Z7w2Hfr64z7Ofo+fX7v8EW7qP9X+iVZ6CADOOqr/OcnnzyyTLLLLOUJ554osw888yvM9WvLxv2c/T8+nV/fLW2btjvDYd9v7rOsJ+j59fv/wZbuI/2fyEFZBg3jM9p2H/otvBDadg3HPbz8z4a//jCBL2PYqaIiwz7hsN+fi38HI3v3OCgz4CAx5nc1fyhNLkJT/7bH/YNh/38WvjFOewbDvv5eR+d/D/HJ/d38D46uQl7+wkBBSShNiQZfyj1f8hh33DYz88Hd/432AcCw/7foefXh3vhxDsO+4b9X8iXYA3jhvE5DfuFdxXMsJ+j5xff/TFBN8RMERUZ9v38ORrdLVAh76OoOSzzvwR8BsS7ggQkIAEJSEACEpCABCQwMAIKyMBQ+40kIAEJSEACEpCABCQgAQXE+4AEJCABCUhAAhKQgAQkMDACCsjAUPuNJCABCUhAAhKQgAQkIAEFxPuABCQgAQlIQAISkIAEJDAwAgrIwFDzvtFxxx1Xvva1r5WHHnqoLLnkkuXb3/52WWGFFXhFg0aXX355d27XXXddefDBB8t5551XPvGJTwS3xIwcfvjh5dxzzy233HJLmW666cpKK61UjjzyyLLIIoswC4+w1Xe/+91S/7nrrru65GKLLVYOPPDAsvbaa4/wlvrx5UcccUTZd999y84771y+8Y1v9KP0JFoedNBB5eCDD37ZV9X7Z73PDstx//33l7333rv84he/KM8880xZcMEFyw9+8IOy3HLL9f4U55133nL33Xe/4jy22267Un93DMPx4osvlno/Pe2007rfg+94xzvK5ptvXvbff/8yxRRTDMMplqeeeqoccMAB3e/Av//972XppZcu3/zmN8vyyy/fy/Ob1O/2MWPGlP/5n/8pJ510Unn88cfLyiuv3P0uWWihhXp5vsNcWgEZ5nUncm5nnXVW2WyzzcoJJ5xQ3ve+93UPes4555xy6623ljnnnLP3VOoDgj/84Q9l2WWXLZ/85CeHTkA++tGPlk033bT7JfLCCy+U/fbbr9x8883lz3/+c5lhhhl6v98FF1xQpppqqu6XRv2F8qMf/agTyuuvv76TkWE6rr322rLxxhuXmWeeuay22mpDJSA//elPy69//etxc0099dRl9tlnH4r5Hnvsse7BXN1s2223LXPMMUf561//WhZYYIHun74fjzzySKkP0Mce9efLRz7ykfLb3/62fOhDH+r76XX9DzvssHLMMcd0P1/qz5U//vGP5Ytf/GI59NBDy0477TQU57jJJpt0vxvqg/AqWFW2jj322O53xTvf+c7eneOkfrfXP8TVP9DVTeebb75Ovv70pz915/vmN7+5d+c7zIUVkGFedyLnVqWjPnj9zne+033VSy+9VOaZZ56y4447ln322WeoqNS/ZA3bMyATDlQfLFRx/N3vflc++MEPDtV+Y09m1lln7SRkyy23HJrze/rpp8syyyxTjj/++HLIIYeUpZZaaqgE5Pzzzy833HDD0Ow1/onUn5P1jxxXXHHFUJ7fhCe1yy67lAsvvLCTrGF5dmC99dYrc801Vzn55JPHne6GG27YPatcH6j3/Xj22WfLTDPNVH72s5+Vddddd9zp1D/M1WeT68+cPh8T/m6vf6yqkrX77ruXPfbYozu1J554otv4hz/8YfdHOw8OAQWEs8XAmjz//PNl+umnL/Wvk+O/LOkLX/hC95Rl/WE1TEcLAnL77bd3zxbUv/QsvvjiwzRf91fY+uxcvX/WZ0De8573DM351XOqYlX/Iln/qjxsAlKFcZZZZun+8vj+97+/+8vku971rqHYr94P11prrXLfffd14l//mlxfnvTlL395KM5v/JOovzPqA7vddtute7Z1WI76DMj3vve9cskll5SFF1643HjjjWXNNdfsnhX57Gc/2/vTrC+/qs+s1mchV1999XHns8oqq5T6bORll13W63Oc8Hf7nXfe2T37WH9P1J+lY49VV121+9/1pWceHAIKCGeLgTV54IEHul+WV155ZfegYOyx1157db9Ir7766oF1GcQ3GnYBqc9efexjH+vk8fe///0gkA7ke1SZqvfPf//732XGGWcsp59+ellnnXUG8r0H8U3OPPPM7qUe9SVY9QH6sAlIfalEfYanXvdRr8Oq14PUaybqy0HqX2X7fox9OUd9UL7RRht1O9ZreOrLWqtYDtNx9tlnl8985jPlnnvu6URkWI76s7MK1VFHHdW95LP+saP+N1mvxxqWo14f+KY3van7+VmfCTjjjDO6+2e9Xqm+5LrPx4S/2+tjmnrNR32M8/a3v33cqdWXuNavrS899+AQUEA4WwysiQIyMNQD+Ub19ef1wV6Vj7nnnnsg33MQ36T+1bU+4KlPoddn677//e93gjwMz4Dce++93YXKv/rVr8oSSyzR4Rw2AZnwPlIF+d3vfnf31+VheBldfVBXN6wPesYe9bqBKiJXXXXVIP4TGdj3qM/01POt12YN01H/CLDnnnt2L+2s14DUlwvWl5rV++iwSOQdd9xRtthii1Iv3q6SVV/yWZ/tqW/Q8pe//KXXcyogvZ6vKCD93i9q70uwImzI0A477NC9ZK7+cqkX3A3zscYaa3RPr5944om9P816bcQGG2zQPSAYe9S/vtZfqFNOOWV57rnnXvbven/C/3sC9bqzumN9KVbfjypT9aLsKsZjj3qhb31dfX2mZ1iO+k5Y888/f/euex//+MeH5bS686jXPdZrebbffvtx51X3q9d/DNO7tdWT+9e//lWefPLJ7pmBemF6fXbyoosu6vWevgSr1/MpIP2eL29fL0Kvb7lb33q3HvWp6Pra7PqA1ovQc66DStaL7eobBtSL6+vreFt4i8EPf/jD3X20XkzY96O+NnvCtzit776z6KKLdm/rOmzX8dS96gOeul9929NheIeh+pKk+kzW+Beh77rrrt1LWMd/VqTv99W6V5X+eq71uoFhOmabbbZOGOuzyGOPKsf1rZRvu+22YTrVcedS372t/rGqvuxsq6226vU5vtZF6PUC9Hohej2qdNU3aPEidN7UPgPC22QgjeprIetTzPUXSxWR+ja89XW+9a8+9XWifT/qg516YXY96ltl1qfU69tl1gt+h+Ei2Hqxa31Nb332Y/zP/qgX/NZ3cOn7UV+DXd+lpW5VH6zXc61vr3jxxRd3f3UexmPYXoJVHwSsv/763cuu6ss+63vz15e41LfDrG9Z2/ejvtSqvr6+XttSX2N+zTXXdBeg14uah+EC5rF/mKoPVj/96U+X+lk1w3bUz/yoF2jX34P1JVj14uX6oLy+ZKn+vBmGo/7MrH+wqr8n6u/E+pKzev1SFedpppmmd6c4qd/tdbd6Xx3/bXhvuukm34YXuLQCAhxlUJXqW/CO/SDC+g4R3/rWt7rPBBmGoz4rUIVjwqNK1zD8Bf213gaz/uWu/lLt+1GvEbj00ku7i5erVNXrJOozA8MqH3WvYROQ+paX9aWB//jHPzrhqO+8Uy/wHYbPyBj731d9W9oqy/WtaesD9XpB+jC9C1Z9d6h6/Ue9WLleNzBsx4Qf0lcvsK+yVT/0tF7zMgxH/cNivY/Wd2urf4CrbzNc/zusP1f7eEzqd/vYDyKsfwio153Vnzv1bc6H8f7bx/3G76yA9H1B+0tAAhKQgAQkIAEJSKBHBBSQHo1lVQlIQAISkIAEJCABCfSdgALS9wXtLwEJSEACEpCABCQggR4RUEB6NJZVJSABCUhAAhKQgAQk0HcCCkjfF7S/BCQgAQlIQAISkIAEekRAAenRWFaVgAQkIAEJSEACEpBA3wkoIH1f0P4SkIAEJCABCUhAAhLoEQEFpEdjWVUCEpCABCQgAQlIQAJ9J6CA9H1B+0tAAhKQgAQkIAEJSKBHBBSQHo1lVQlIQAISkIAEJCABCfSdgALS9wXtLwEJSEACEpCABCQggR4RUEB6NJZVJSABCUhAAhKQgAQk0HcC/w//JZoSHznaMQAAAABJRU5ErkJggg==\" width=\"800\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.animation.FuncAnimation at 0x7faa152b4250>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "animate_heatmap(u, t, sampling=2)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}