day58-logistic-regression/perceptron-trick-sigmoid.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "de686bdc",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_classification\n",
    "import numpy as np\n",
    "X, y = make_classification(n_samples=100, n_features=2, n_informative=1,n_redundant=0,\n",
    "                           n_classes=2, n_clusters_per_class=1, random_state=41,hypercube=False,class_sep=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b4566777",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "e6a287f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1dccfbfc880>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.scatter(X[:,0],X[:,1],c=y,cmap='winter',s=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "537373e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def perceptron(X,y):\n",
    "    \n",
    "    X = np.insert(X,0,1,axis=1)\n",
    "    weights = np.ones(X.shape[1])\n",
    "    lr = 0.1\n",
    "    \n",
    "    for i in range(1000):\n",
    "        j = np.random.randint(0,100)\n",
    "        y_hat = step(np.dot(X[j],weights))\n",
    "        weights = weights + lr*(y[j]-y_hat)*X[j]\n",
    "        \n",
    "    return weights[0],weights[1:]\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "44f5a81d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def step(z):\n",
    "    return 1 if z>0 else 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "706de123",
   "metadata": {},
   "outputs": [],
   "source": [
    "intercept_,coef_ = perceptron(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "b41ce1b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.1134548  0.33857969]\n",
      "1.3000000000000003\n"
     ]
    }
   ],
   "source": [
    "print(coef_)\n",
    "print(intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "e47ac478",
   "metadata": {},
   "outputs": [],
   "source": [
    "m = -(coef_[0]/coef_[1])\n",
    "b = -(intercept_/coef_[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "21255c10",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_input = np.linspace(-3,3,100)\n",
    "y_input = m*x_input + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "c164cb87",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-3.0, 2.0)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(x_input,y_input,color='red',linewidth=3)\n",
    "plt.scatter(X[:,0],X[:,1],c=y,cmap='winter',s=100)\n",
    "plt.ylim(-3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6943df2f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression()"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LogisticRegression\n",
    "lor = LogisticRegression()\n",
    "lor.fit(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "7e7bf596",
   "metadata": {},
   "outputs": [],
   "source": [
    "m = -(lor.coef_[0][0]/lor.coef_[0][1])\n",
    "b = -(lor.intercept_/lor.coef_[0][1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "ec6f0d3a",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_input1 = np.linspace(-3,3,100)\n",
    "y_input1 = m*x_input + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "fc4a9084",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-3.0, 2.0)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(x_input,y_input,color='red',linewidth=3)\n",
    "plt.plot(x_input1,y_input1,color='black',linewidth=3)\n",
    "plt.scatter(X[:,0],X[:,1],c=y,cmap='winter',s=100)\n",
    "plt.ylim(-3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "043aa2ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "def perceptron(X,y):\n",
    "    \n",
    "    X = np.insert(X,0,1,axis=1)\n",
    "    weights = np.ones(X.shape[1])\n",
    "    lr = 0.1\n",
    "    \n",
    "    for i in range(1000):\n",
    "        j = np.random.randint(0,100)\n",
    "        y_hat = sigmoid(np.dot(X[j],weights))\n",
    "        weights = weights + lr*(y[j]-y_hat)*X[j]\n",
    "        \n",
    "    return weights[0],weights[1:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "0505a38c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(z):\n",
    "    return 1/(1 + np.exp(-z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "d697c4fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "intercept_,coef_ = perceptron(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "c6a604d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "m = -(coef_[0]/coef_[1])\n",
    "b = -(intercept_/coef_[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "794fc76e",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_input2 = np.linspace(-3,3,100)\n",
    "y_input2 = m*x_input + b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "cb3aa25d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-3.0, 2.0)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(x_input,y_input,color='red',linewidth=3)\n",
    "plt.plot(x_input1,y_input1,color='black',linewidth=3)\n",
    "plt.plot(x_input2,y_input2,color='brown',linewidth=3)\n",
    "plt.scatter(X[:,0],X[:,1],c=y,cmap='winter',s=100)\n",
    "plt.ylim(-3,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8a5e52b2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "d1b04267",
   "metadata": {},
   "outputs": [],
   "source": [
    "def perceptron(X,y):\n",
    "    \n",
    "    m = []\n",
    "    b = []\n",
    "    \n",
    "    X = np.insert(X,0,1,axis=1)\n",
    "    weights = np.ones(X.shape[1])\n",
    "    lr = 0.1\n",
    "    \n",
    "    for i in range(200):\n",
    "        j = np.random.randint(0,100)\n",
    "        y_hat = step(np.dot(X[j],weights))\n",
    "        weights = weights + lr*(y[j]-y_hat)*X[j]\n",
    "        \n",
    "        m.append(-(weights[1]/weights[2]))\n",
    "        b.append(-(weights[0]/weights[2]))\n",
    "        \n",
    "    return m,b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "b594a1f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "m,b = perceptron(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "2ffeb9f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "97738b0e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_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",
       "    // 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",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\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.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, 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\", \"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.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = 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"
    },
    {
     "data": {
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\" width=\"899.84\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,5))\n",
    "\n",
    "x_i = np.arange(-3, 3, 0.1)\n",
    "y_i = x_i*m[0] +b[0]\n",
    "ax.scatter(X[:,0],X[:,1],c=y,cmap='winter',s=100)\n",
    "line, = ax.plot(x_i, x_i*m[0] +b[0] , 'r-', linewidth=2)\n",
    "plt.ylim(-3,3)\n",
    "def update(i):\n",
    "    label = 'epoch {0}'.format(i + 1)\n",
    "    line.set_ydata(x_i*m[i] + b[i])\n",
    "    ax.set_xlabel(label)\n",
    "    # return line, ax\n",
    "\n",
    "anim = FuncAnimation(fig, update, repeat=True, frames=200, interval=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "b52ead80",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression()"
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "abf54710",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "32156093",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "5d932562",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_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",
       "    // 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",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\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.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, 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\", \"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.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = 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"
    },
    {
     "data": {
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-3.0, 2.0)"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ff162ced",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "34501c0c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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}