{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solution for Exercise 1\n",
    "\n",
    "https://neuronaldynamics-exercises.readthedocs.io/en/latest/exercises/leaky-integrate-and-fire.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nr of spikes: 0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nr of spikes: 5\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Resting potential: -0.07\n",
      "Reset voltage: -0.065\n",
      "Firing threshold: -0.05\n",
      "Membrane resistance: 10000000.0\n",
      "Membrane time-scale: 0.008\n",
      "Absolute refractory period: 0.002\n"
     ]
    }
   ],
   "source": [
    "# start with importing the libraries we need\n",
    "\n",
    "%matplotlib inline\n",
    "import brian2 as b2\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from neurodynex3.leaky_integrate_and_fire import LIF\n",
    "from neurodynex3.tools import input_factory, plot_tools\n",
    "\n",
    "LIF.getting_started()\n",
    "LIF.print_default_parameters()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# the default values \n",
    "V_REST = -70*b2.mV\n",
    "V_RESET = -65*b2.mV\n",
    "FIRING_THRESHOLD = -50*b2.mV\n",
    "MEMBRANE_RESISTANCE = 10. * b2.Mohm\n",
    "MEMBRANE_TIME_SCALE = 8. * b2.ms\n",
    "ABSOLUTE_REFRACTORY_PERIOD = 2.0 * b2.ms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "resting potential: -0.07\n"
     ]
    }
   ],
   "source": [
    "from neurodynex3.leaky_integrate_and_fire import LIF\n",
    "print(\"resting potential: {}\".format(LIF.V_REST))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So if we consider current such that we are exact below the firing threshold, we can assume that the membrane potential after some time of the current injection will be steady at the value $v_{thr}$. So the minimal current is $I = \\frac{v_{thr}-v_{rest}}{R}$, which is equal to $I = 2nA$ "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: minimal current to elicit a spike\n",
    "V_REST = -70*b2.mV\n",
    "V_RESET = -65*b2.mV\n",
    "FIRING_THRESHOLD = -50*b2.mV\n",
    "MEMBRANE_RESISTANCE = 10. * b2.Mohm\n",
    "MEMBRANCE_TIME_SCALE = 8. * b2.ms\n",
    "ABSOLUTE_REFRACTORY_PERIOD = 2.0 * b2.ms\n",
    "i_min = (FIRING_THRESHOLD-V_REST)/MEMBRANE_RESISTANCE\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Resting potential: -0.07\n",
      "Reset voltage: -0.065\n",
      "Firing threshold: -0.05\n",
      "Membrane resistance: 10000000.0\n",
      "Membrane time-scale: 0.008\n",
      "Absolute refractory period: 0.002\n",
      "The minimal current to elicit a spike is > 2.0000000000000005e-09\n"
     ]
    },
    {
     "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",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\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",
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       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (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": {
      "text/html": [
       "<img 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\" width=\"431.1111225316557\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nr of spikes: 2\n"
     ]
    }
   ],
   "source": [
    "import brian2 as b2\n",
    "from neurodynex3.leaky_integrate_and_fire import LIF\n",
    "from neurodynex3.tools import input_factory, plot_tools\n",
    "# in case your system supports it we recommend to use \n",
    "%matplotlib notebook\n",
    "\n",
    "# get the default parameters: print them to the console and/or access the constants\n",
    "LIF.print_default_parameters()\n",
    "\n",
    "#calculate i_min\n",
    "i_min = (LIF.FIRING_THRESHOLD-LIF.V_REST)/LIF.MEMBRANE_RESISTANCE\n",
    "print(\"The minimal current to elicit a spike is > {}\".format(i_min))\n",
    "\n",
    "i_min += .01*b2.nA\n",
    "\n",
    "# verify: create a step current with amplitude= i_min\n",
    "step_current = input_factory.get_step_current(\n",
    "    t_start=5, t_end=100, unit_time=b2.ms,\n",
    "    amplitude= i_min)\n",
    "\n",
    "# run the LIF model\n",
    "(state_monitor,spike_monitor) = LIF.simulate_LIF_neuron(input_current=step_current, simulation_time = 100 * b2.ms)\n",
    "\n",
    "# plot I and vm\n",
    "plt.figure()\n",
    "plot_tools.plot_voltage_and_current_traces(state_monitor, step_current, title=\"min input\", firing_threshold=LIF.FIRING_THRESHOLD)\n",
    "print(\"nr of spikes: {}\".format(spike_monitor.count[0]))\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: f-I Curve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. The sketch should have the following behavior till $i_{min}$ current we have 0 Hz after this point  we have a jump to a particular frequency which approaches exponentiall a maximum frequency.\n",
    "2. The maximum rate is constrained by the refractory time. So if we assume that we inject a huge current the final frequency that we can achive is $F_{max} = \\frac{1}{t_{refractory}}= 333Hz$\n",
    "3. see below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "        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",
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       "        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",
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       "    this.context = undefined;\n",
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       "\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",
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       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
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       "        fig.send_message('refresh', {});\n",
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       "    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",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\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 (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=\"575.5555708025713\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'firing frequency [Hz]')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# actually here we start from amplitue 2 because we that at this point the plot will start to increase\n",
    "amplitudes = [0., 2.0, 2.1, 2.5, 3, 4, 5, 10, 20, 30, 40, 60]\n",
    "simtime_ms = 500\n",
    "frequencies = np.zeros(len(amplitudes))\n",
    "\n",
    "for i in range(len(amplitudes)):\n",
    "    I_ampl = amplitudes[i]\n",
    "    step_current = input_factory.get_step_current(\n",
    "        t_start=0, t_end=simtime_ms, unit_time=b2.ms,\n",
    "        amplitude= I_ampl*b2.namp)\n",
    "\n",
    "    # run the LIF model\n",
    "    (state_monitor,spike_monitor) = LIF.simulate_LIF_neuron(input_current=step_current, simulation_time = simtime_ms * b2.ms, abs_refractory_period=3*b2.ms)\n",
    "    nr_spikes = spike_monitor.count[0]\n",
    "    frequencies[i] = nr_spikes * 1000. / simtime_ms\n",
    "\n",
    "# Note that actually here for input current 2.0nA the frequency is 0Hz and for 2.1nA is 38Hz\n",
    "plt.figure(figsize=(8,3))\n",
    "plt.plot(amplitudes, frequencies)\n",
    "plt.title(\"f-I curve\")\n",
    "plt.xlabel(\"input current [nAmp]\")\n",
    "plt.ylabel(\"firing frequency [Hz]\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: unknown neuron experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# get a random parameter set\n",
    "random_parameters = LIF.get_random_param_set(random_seed=4388851)\n",
    "# LIF.print_obfuscated_parameters(random_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\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 (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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       "<img 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width=\"431.1111225316557\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nr of spikes: 0\n"
     ]
    }
   ],
   "source": [
    "# specify a current to probe the neuron. \n",
    "test_current = input_factory.get_step_current(\n",
    "    t_start=1, t_end=2, unit_time=0.1*b2.ms,\n",
    "    amplitude= 1.0 * b2.namp)\n",
    "\n",
    "# probe the neuron. pass the test current and the random params to the function\n",
    "state_monitor, spike_monitor = LIF.simulate_random_neuron(test_current, random_parameters)\n",
    "plt.figure()\n",
    "plot_tools.plot_voltage_and_current_traces(state_monitor, test_current, title=\"experiment\")\n",
    "print(\"nr of spikes: {}\".format(spike_monitor.count[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So the parameters that we need to find are:\n",
    "1. $v_{rest}$ here we use the value that we see when we inject 0 current\n",
    "2. $v_{threshold}$ here we inject a big current and we see the voltage that the neuron resets\n",
    "3. $v_{reset}$ we use experiment 2 and we see what value take the neuron exactly after the spike time\n",
    "4. $t_{refractory}$ we use experiment 2 and we see the time that the membrane is exactly $v_{rest}$ after the spike\n",
    "5. $R$ we use an delta current(active only for one timestep) and we can find the $R$ by just dividing the $\\frac{v_{max}-v_{rest}}{I_{injected}}$, here you need to change the scale of the current so the input is very fast\n",
    "6. $\\tau_m$ from experiment 5 we can find the time that the membrane potential becomes around 1/3 of the max value and this is our $tau_m$\n",
    "\n",
    "Note: This is one approach, you could also find other experiments that lead you to the same results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Resting potential: -0.07200000000000001\n",
      "Reset voltage: -0.063\n",
      "Firing threshold: -0.035\n",
      "Membrane resistance: 11000000.0\n",
      "Membrane time-scale: 0.029\n",
      "Absolute refractory period: 0.001\n"
     ]
    }
   ],
   "source": [
    "# print the solution\n",
    "LIF.print_obfuscated_parameters(random_parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise: sinusoidal input current"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "/* global mpl */\n",
       "window.mpl = {};\n",
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       "        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",
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       "        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",
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       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
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       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
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       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
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       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
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       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
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       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
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       "    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 (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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       "<img 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\" 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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<AxesSubplot:ylabel='Input current [A] \\n min: -1e-09 \\nmax: 1e-09'>,\n",
       " <AxesSubplot:xlabel='t [ms]', ylabel='membrane voltage [mV]\\n min: -0.07079407801699837\\n max: -0.06858748472274975'>)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# second example: sinusoidal current. note the higher resolution 0.1 * b2.ms\n",
    "sinusoidal_current = input_factory.get_sinusoidal_current(0, 1000, unit_time=0.1 * b2.ms,\n",
    "                                            amplitude= 1 * b2.namp, frequency=250*b2.Hz,\n",
    "                                            direct_current=0. * b2.namp)\n",
    "\n",
    "# run the LIF model\n",
    "(state_monitor, spike_monitor) = LIF.simulate_LIF_neuron(input_current=sinusoidal_current, simulation_time = 100 * b2.ms, firing_threshold=-50*b2.mV)\n",
    "\n",
    "min_time = 0*b2.ms\n",
    "max_time = 800*b2.ms\n",
    "idx_recorded = (state_monitor[0].t>=min_time) & (state_monitor[0].t<=max_time)\n",
    "out_signal = state_monitor[0].v[idx_recorded]\n",
    "t_recorded = state_monitor[0].t[idx_recorded]\n",
    "in_signal = sinusoidal_current(t_recorded,0)\n",
    "\n",
    "plt.figure()\n",
    "plot_tools.plot_voltage_and_current_traces(state_monitor, sinusoidal_current, title=\"stimulus & response\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can find the amplitude by dividing the max value from input current and the max value from output signal. \n",
    "You can find the phase by doing the following:\n",
    "Find the time between the closest peaks of current and membrane and devided by the time of a period. Now this is the fraction for the period, so now if you multiply it with $2\\pi$ you get the phase. You can get the sign depending if the output lags(come after) then we have positive otherwise the \"output\" leads and the sign is negative"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Amplitude 68.58748472 Mohm\n",
      "Phase:  1.5707963267948966\n"
     ]
    }
   ],
   "source": [
    "# Finding the amplitude\n",
    "peak_in = np.max(in_signal)\n",
    "peak_vmem = -np.max(out_signal)\n",
    "print(\"Amplitude\", peak_vmem/peak_in)\n",
    "\n",
    "# Finding the \n",
    "2*np.pi * (1/4) # numbers that I count from the plot\n",
    "t_peak1 = np.argmax(in_signal)\n",
    "t_peak2 = np.argmax(out_signal)\n",
    "period = period = 1/ 250 / 0.0001\n",
    "print('Phase: ', 2*np.pi * ((t_peak2-t_peak1)/period))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "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",
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       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
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       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
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       "            fig.send_message('set_dpi_ratio', { dpi_ratio: fig.ratio });\n",
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       "        fig.send_message('refresh', {});\n",
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       "            // Full images could contain transparency (where diff images\n",
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       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
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       "    this.ondownload = ondownload;\n",
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       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
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       "    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",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\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",
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       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
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       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (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",
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       "    rubberband_canvas.addEventListener(\n",
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       "    );\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",
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       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
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       "            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": {
      "text/html": [
       "<img 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Zyn/WLeHX16Zw1VabHYTry+0ZAiGYdYIwRCupM9IwFlsfujNz3jm4/XcdkF7fjy8k25MVa6ETUCGEDaqyAvKECJnphruEJi9cCM/f20V/965UeAepJrV9SY2d8imtooMwTC+MgRDuJIOScB5E5uz2NymflZgsblx7Roh66iAvwnIEAzjL0MwhCvpsAg4J5snzMjlyNGygCl0a14nrHoq5E8CMgSbuGtR2YarVKMg4Ow8cq7RXrVtP9NG9dI12lEw9EsVGYJhpDVCMIQr6YgIHD56jHv/soJXlm3lpyM7c+OQtrpGOyKC/igsQzCMswzBEK6kIybgXKP9xHsFPPL2GkYPaMUDl3clvWqViHVUIXUJyBAMYytDMIQr6agJ/HX5Nn700nIGtqvPE6N76bqLqEmmXkUZgmFMZQiGcCUdE4ElG/dxy7OLaZCdwdPj+tKiXs2Y9FQ5NQjIEGziqEVlG65SdZGAc93F+BmLKDx0NLADqWfLui6qSyoZCcgQDKOmEYIhXEm7QqDwUCnfe24JeZv28btrejKim/M6cX38SkCGYBh5GYIhXEm7RsA5o/DTV1bwct4WfnJJZ24aqh1IrsFNMiEZgmHAZAiGcCXtKgFnB9If3l/Hr+d/zpiBrZhymXYguQo4ScRkCIaBkiEYwpW0CYHXlm3l7pfyGdyhPo+P7k12hu5AMgHtUVEZgmFgZAiGcCVtRiB3w97ADqQmdTJ5ZlxfmtbJNGtLwt4iIEOwiYd2GdlwlWqcCKzfXcT46YsoKS3jmXH96NKsdpxaVjOJJCBDMKSvEYIhXEmbE3DuQHJGCqu37+eJ63ozrFMj8zbVQGIJyBAM+csQDOFKOi4ESkqPMeml5fx95Zf84tvdAlde6JO6BGQIhrGVIRjClXTcCJSVHefXb3/O/7y/ju8Na8/dF+stbHGDH+eGZAiGwGUIhnAlHXcCcxZu4r7XVjIypymPfLc7GelV494HNWhLQIZgyFeGYAhX0gkh8N7nO7ljdh5dm9XhyRv6ULdm9YT0Q43aEJAh2HANqMoQDOFKOmEEVm0rDLyFLSsjnRnj+tOqvi7GS1gwXG5YhuAy0IpyMgRDuJJOKIFtXx0KmMLug4f589h+uhgvodFwr3EZgnss/0VJhmAIV9IJJ7C/pJTbn8tj8ca9PDaqFxd3bZLwPqkDsRGQIcTG76y1ZQiGcCXtCQLOxXj3zlvBvKVbAvcfjR3cxhP9UieiIyBDiI5bqFo6qRyKkH6fMgSci/GmLVjL795dy81D23LvJZ2pUiUtZZ7PTw8iQzCMtkYIhnAl7TkCLy3eHBgtDO/ahEev7kGNatqW6rkgheiQDMEwYjIEQ7iS9iSBD9fs4vbZeZzXpBZP3dCXelnalurJQFXSKRmCYbRkCIZwJe1ZAp9u2x94Nae2pXo2RJV2TIZgGDMZgiFcSXuagLMtdfz0XPYUHebpsf3oofc1ezpe5Z2TIRiGSYZgCFfSnifgbEsNvK9541f8/tpeXNilsef77PcOyhAMM0CGYAhX0klBwNmWOvkv+by6bCsPfLsbYwa2Top++7WTMgTDyMsQDOFKOmkIONtSH317DY+/V6DbUj0eNRmCYYBkCIZwJZ10BMpvS720e1N+9R3dlurFAMoQDKMiQzCEK+mkJPDeZzv5/pw8erSoyx+v70OdzGpJ+Ryp2mkZgmFkZQiGcCWdtARWbClk/Ixczsmqxozx/WlWNzNpnyXVOi5DMIyoDMEQrqSTmsDmvcWMnb6IosNHA6bQuWntpH6eVOm8DCF0JLsBk4C3gOeBocBgoAPwMFBQmYQMITRclfAvgX1FR7j52cV89uUB/jimD0PObeBfGB55cj8bwnygNzANmBqMxzjgFuA4MBHIC/58GODc7esYQvnndmAl8KEMwSPZrG4kHYGS0mP85wvLeOfTHTx8VXeu6tMi6Z4hlTrsZ0NwMu9CwPnuGEI9YAEwEGgOzAKGVGIIVwFNgcfPlgwaIaTSn4qexYpAWdlxpr6xmmc+Xs/dwztx+7D2pKXptlQr3mfT9bMhOFycEUG5IQwHRgJ3BoEtB/oDDYHJQC3gQaA7cAfwatBAVmiEkIjUVZupRuDP//dFwBhGD2jFA5d3Jb1qlVR7RM8/jwzhpCGMBjoCU4JR+wAYBWyPMIpjAOeLnJyc4fn5+RFWV3ER8C+Bv+Vv44cvLOf8jg147Npe1Kye7l8YCXhyGcJJQxgBOF93BeOwDBgAHI42Lpoyipac6vmZwMIv9gQWm9s2zObpsX1pkJ3hZxxxfXYZwqlrCO8Ag4LrA3MqrCFEGhS9MS1SYiovAhUIrN1xgHHTc0mvmsbM8f1p0yBLfOJAwM+G8FRw+6jzzw9nt9AVwATgpuAuI2ctYXEsMdAIIRZ6qut3Ajv2lwRMwfnujBR6tXL2fehjScDPhmDJNaAtQzBHrAZSnMCBktLAG9hyN+zl99f25iJdoW0acRmCDV5NGdlwlaoPCZQeK+Me5wrtpbpC2zr8MgRDwhohGMKVtK8IVLxC+/vfaM+kizvprIJBBsgQDKCWS8oQDOFK2pcEZi/cyH2vruSKXs357yu7Uz1dZxXcTAQZgps0T2ppysiGq1RFgHc/3cEdc/Po1+Yc/nBdb2rV0BXabqWFDMEtkmfQ0QjBEK6kfU1g6aZ93DhzMU1q12D6+H40rl3D1zzcengZglskZQiGJCUtAv9KYP3uIsY+s4hjZceZOaEfHRo5t8voEwsBGUIs9CqvqykjG65SFYFTCOw6cJgbZ+aycU8xT93Ql/5tzxGhGAjIEGKAF6qqpoxCEdLvRSB2AsVHjvL92Xl8vG4P067pySU5zkXE+kRDQIYQDbUw68gQwgSlYiIQI4Gjx8r42asreWHxZn5+aRfG/VvbGBX9WV2GYBh3GYIhXEmLwGkEnLMKjy0o4LfvruHW89txz4jzqFJF71WIJFFkCJHQirCsDCFCYCouAi4QeDF3M/e+soJv5TTl19/tTkZ6VRdU/SEhQ7CJsxaVbbhKVQTCIvDe5zsD6wo9W9blj9f3obbOKoTFTYYQFqboCmmEEB031RIBNwjkb/mKCTNyA+9TmDG+P03q6KxCKK4yhFCEYvi9DCEGeKoqAi4Q2LSnmLHTF3G49BgzJvSnY2OdVTgbVhmCC0lXmYQMwRCupEUgTAJ7DjpnFRbzxa6DgbMKA9rVD7Om/4rJEAxjLkMwhCtpEYiAwKEjx5g4N48P1+zmt9f05FvddVbhTPhkCBEkVQRFtagcASwVFYF4EHDOKtz/+irmLtrEz77VhRuH6KzC6dxlCIaZqBGCIVxJi0AUBJyzCo//bwGPvrOGm4e25d5LOuusQgWOMoQokircKjKEcEmpnAjEl8CLizdz77wVXNKtCY9e3UNnFYL4ZQiGeShDMIQraRGIkcD7n+8MvK+5e4s6/On6vtTJ1HsVZAgxJtXZqssQDOFKWgRcIFB+VqF+VgYzJvSjaZ1MF1STV0KGYBg7GYIhXEmLgEsEys8qlDhnFcb3p1MT/55VkCG4lFSnyWiXkQ1XqYqACYG9RUcC71VYt/MgT97Ql4E+PasgQzBJrxOiGiEYwpW0CLhM4MRZhaV8uGYXv7mmB5d2b+ZyC96XkyEYxkiGYAhX0iJgQMDvZxVkCAZJVS4pQzCEK2kRMCJQ8azCTUPa8pOR/jmrIEMwSipNGRmClbQIxIHAS4s3M3neCkbmNOURn7xXQYZgmFgaIRjClbQIxIGA384qyBAMk0qGYAhX0iIQJwIrthQyfsYi/HBWQYZgmFQyBEO4khaBOBLwy1kFGYJhUskQDOFKWgTiTMAP71WQIRgmlQzBEK6kRSABBCqeVUjF9yrIEGySSieVbbhKVQQSTiCVzyrIEAzTSyMEQ7iSFoEEEnDOKjzxXgGPvL2GVDqrIEMwTCoZgiFcSYuABwg4ZxWc9yqMSJH3KsgQDJNKhmAIV9Ii4BECH6zZxfeeW5IS71WQIRgmlQzBEK6kRcBDBFZuLWTc9FzqZ1Vn+vh+NKubnO9VkCEYJpUMwRCupEXAYwQ27y1m7DOLKD5yLPCynfOa1PZYD0N3R4YQmlHUJWQIUaNTRRFISgL7gu9VWLvzIH+6vg+D2zdIqueQIRiGS4ZgCFfSIuBRAs6b134wdynvf76LR67uweU9kue9CjIEw6SSIRjClbQIeJjAsbLjTHl9FbP+uZGfjuzMTUPbkpaW5uEen+iaDMEwRDIEQ7iSFgGPE3DOKvzh/XX8ev7njP+3NvzsW12oWsXbpiBDMEwqGYIhXEmLQJIQmJe3hR+/nM9FXRrjXHdRo1pVz/ZchmAYGhmCIVxJi0ASEfho7W5ue24JnZvW4qkb+lK3ZnVP9l6GEDos3YBJwFvA88Dp/12pggwhNFyVEAG/EPh0237GTV9ErRrpzJzQnxb1anru0f1sCPOB3sA0YGowMuOAW4DjwEQgL/jzYUCToCE4Pzr9v88YWBmC5/JdHRKBhBLY+tWhwFmFwkOlTB/Xj27N6yS0P6c37mdDaAFcCDjfHUOoBywABgLNgVnAEBmCp/JVnRGBpCdQWFzKzc8uZtW2Qv4wpg8XdGzomWfysyE4QXBGBOWGMBwYCdwZjM5yoD/gRGsyUAt4ECg+7b/XVBZNjRA8k+fqiAh4ioBzVuFHLy1n/sov+e+ruvOdPs7/DSX+I0M4aQijgY7AlGBYPgBGAdsjDNMYwPkiJydneH5+foTVVVwERMAPBMrKjvPQm6v580fr+eFFHZn4zQ4JP6sgQzhpCCMA5+uuYDIuAwYAh6NNTo0QoiWneiLgHwLPfLSeX7zxKdf0bcnUK7qRXrVKwh5ehnDqGsI7wCCgKTCnwhpCpAHSG9MiJabyIuBjAn9fsZ07X1jG4Pb1eWJ0b7Iy0hNCw8+G8BQwGMgAVgJXABOAm4K7jJy1hMWxREUjhFjoqa4I+ItA7oa9gcXmlvVq8vS4vjSqVSPuAPxsCOawZQjmiNWACKQUgYKdBwNnFZzPjPH96dAoO67PJ0Owwa0pIxuuUhWBlCew68BhJszIZdPe4sCp5v5tz4nbM8sQDFFrhGAIV9IikMIEig4fZeLcpXxUsJvfXN2DS7vH5wptGYJhUskQDOFKWgRSnMDRY2Xc99oq5i7aFLcrtGUINkmlKSMbrlIVAV8RqHiF9thBrbn/sq6mV2jLEAzTSyMEQ7iSFgEfEXh16Vbufnk5wzo14rFRvcisbnOFtgzBMKlkCIZwJS0CPiPwybrd3DprCe0aZvP02L40yHZ2zLv7kSG4y7NcTVNGNlylKgK+JrBmxwHGT88NTBtNH9+P9g3d3ZYqQzBML40QDOFKWgR8SmDn/hImzMxly75DgW2p/dq4ty1VhmCYVDIEQ7iSFgEfE3C2pd4xJ4+PC/bw6NU9uKyHO9tSZQiGSSVDMIQraRHwOQFnW+rPX1/F7IWbuGfEedx2QbuYb0uVIRgmlQzBEK6kRUAEcLalPvnhF/zy759xbf9W/OLbXWO6LVWGYJNUWlS24SpVERCBMxD4W/42fvjicga1q88T1/UmO8rbUmUIhumlEYIhXEmLgAicQmDJxr3cNHMxTepk8sy4vjStkxkxIRlCxMjCryBDCJ+VSoqACMROYMPuIsbPyKX4yFFevHUQretnRSQqQ4gIV2SFZQiR8VJpERCB2AnsKzrCE+8VcPeITmSkR3aiWYYQO/9KFWQIhnAlLQIi4DoBGYLrSAOCWlS24SpVERABQwIyBEO4GiEYwpW0CIiA6wRkCK4jPSkoQzCEK2kREAHXCcgQXEcqQzBEKmkREAFDAjIEQ7gaIRjClbQIiIDrBGQIriPVCMEQqaRFQAQMCcgQbOBql5ENV6mKgAgYEpAhGMIF1gLrgk3UB/aE2Vy4ZUOVq+z3kf68KbA9zL7Ho1io546mD9FqRlovnPKhypzt98kc21DPHc+4Om1F2p9wyocq41Zso/2bbQ+cGw1o6zpp1g3EWf9XwI/DbDPcsqHKVfb7SH/+FjAizM5O1gYAAAM8SURBVL7Ho1io546mD9FqRlovnPKhypzt98kc21DPHc+4Om1F2p9wyocq41ZsvfY3G03sTqmTaobgTCO9EyaVcMuGKlfZ7yP9udeSK9Rzh4n5lGLRakZaL5zyocqc7ffJHNtQzx3PuDptRdqfcMqHKuNWbL32NxtN7FLaEGIGkkCBMcBzCWxfTdsRUGzt2CZSOeXimmojhEQmh9oWAREQgaQmIENI6vCp8yIgAiLgHgEZgnsspSQCIiACSU1AhuDN8HUDJgHOotXz3uyiehUlgaHAYKAD8DBQEKWOqnmPQCdgJNAKeBJY7b0unr1HMoT4Rmw+0BuYBkwNNj0OuAU4DkwE8oI/HwY0kSHEN0AxtBZJbJ1mbgdWAh/G0KaqxodAJLG9ErgOuCcZzV6GEJ+EKm+lBXAh4Hx3DKEesAAYCDQHZgFDZAjxDYpLrUUS26sA51DT4y61LRlbApHE1ulJD6Aj8JJtt9xXlyG4zzSUojMiKDeE4cEh5p3BSsuB/kBDYDJQC3gQWBNKVL/3BIFwYnsZcAfwavAfAys80XN1IhSBcGLrTAc6MwCtg1NGzt9zUn1kCPEPV8XEGh38l8SUYDc+AEZ57AqL+BNK3hYV2+SNXaie+yK2MoRQaeD+7ysmlnNVhfN1V7CZZcAA4LD7zUoxDgQU2zhATlATvoitDCH+2VUxsZw1BOeqjUHBOeU5FdYQ4t8ztRgrAcU2VoLere+L2MoQ4puATwW3HGYEd5hcAUwAbgruMnLWEhbHt0tqzSUCiq1LID0o45vYyhA8mH3qkgiIgAgkgoAMIRHU1aYIiIAIeJCADMGDQVGXREAERCARBGQIiaCuNkVABETAgwRkCB4MirokAiIgAokgIENIBHW1KQIiIAIeJCBD8GBQ1CUREAERSAQBGUIiqKtNERABEfAgARmCB4OiLomACIhAIgjIEBJBXW2KgAiIgAcJyBA8GBR1SQREQAQSQUCGkAjqalMEREAEPEhAhuDBoKhLIiACIpAIAjKERFBXmyIgAiLgQQIyBA8GRV0SAREQgUQQkCEkgrraFAEREAEPEpAheDAo6pIIiIAIJIKADCER1NWmCIiACHiQwP8DL6pwqZPbcG0AAAAASUVORK5CYII=\" width=\"431.1111225316557\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\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 (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>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# now we are going to run the loop\n",
    "frequencies = np.linspace(5, 1000, 100)\n",
    "amplitudes = np.zeros(100)\n",
    "phases = np.zeros(100)\n",
    "\n",
    "for i, f in enumerate(frequencies):\n",
    "    sinusoidal_current = input_factory.get_sinusoidal_current(0, 1000, unit_time=0.1 * b2.ms,\n",
    "                                            amplitude= 0.5 * b2.namp, frequency=f*b2.Hz,\n",
    "                                            direct_current=0. * b2.namp)\n",
    "\n",
    "    # run the LIF model\n",
    "    (state_monitor, spike_monitor) = LIF.simulate_LIF_neuron(input_current=sinusoidal_current, simulation_time = 100 * b2.ms, firing_threshold=-50*b2.mV)\n",
    "\n",
    "    min_time = 0*b2.ms\n",
    "    max_time = 1000*b2.ms\n",
    "    idx_recorded = (state_monitor[0].t>=min_time) & (state_monitor[0].t<=max_time)\n",
    "    out_signal = state_monitor[0].v[idx_recorded]\n",
    "    t_recorded = state_monitor[0].t[idx_recorded]\n",
    "    in_signal = sinusoidal_current(t_recorded,0)\n",
    "    \n",
    "    # here instead of checking the amplitude we check the power of the signal, something that\n",
    "    # is commonly used in signal and systems\n",
    "    peak_in = ((in_signal-in_signal.mean())**2).mean()\n",
    "    peak_vmem = ((out_signal-out_signal.mean())**2).mean()\n",
    "#     print(peak_in, peak_vmem)\n",
    "    # Finding the \n",
    "    t_peak1 = np.where(np.diff(in_signal)<0)[0][0] # first peak\n",
    "    t_peak2 = np.argmax(out_signal)\n",
    "    period = 1/f / 0.0001 # i divide with 0.1 ms\n",
    "    amplitudes[i] = peak_vmem/peak_in\n",
    "    phases[i] = 2*np.pi * ((t_peak2-t_peak1)/period)\n",
    "\n",
    "plt.figure()\n",
    "plt.loglog(frequencies, amplitudes)\n",
    "plt.figure()\n",
    "plt.plot(frequencies, phases)\n",
    "plt.xscale('log')\n",
    "# be careful on the values on the x label from the second plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since we see that the amplitude goes down as we increase the input frequence we can see that we have a low-pass filter"
   ]
  }
 ],
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