ellipse.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kepler's Laws"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Preliminaries:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "\n",
    "import numpy as np\n",
    "import ipywidgets as widgets\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.pylab as pylab\n",
    "import matplotlib.animation\n",
    "from IPython import display"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Kepler's laws of planetary motion\n",
    "\n",
    "In astronomy, Kepler's laws of planetary motion are three scientific laws describing the motion of planets around the Sun:\n",
    "\n",
    "1. The orbit of a planet is an ellipse with the Sun at one of the two foci.\n",
    "2. A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.\n",
    "3. The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.\n",
    "\n",
    "source: [Wikipedia](https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion)\n",
    "\n",
    "***\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1st Law: The orbit of a planet is an ellipse with the Sun at one of the two foci."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Cartesian equation\n",
    "$$\\frac {x^{2}}{a^{2}}+{\\frac {y^{2}}{b^{2}}}=1 $$ \n",
    "$$ y=\\pm {\\frac {b}{a}}{\\sqrt {a^{2}-x^{2}}}$$\n",
    "$$ \\text{focus:} \\quad x_f=\\pm \\sqrt{a^2-b^2} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://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",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a=1.      # semi-major axis \n",
    "b=0.75    # semi-minor axis\n",
    "\n",
    "c=np.sqrt(a**2-b**2)   # Focus of the ellipsis\n",
    "\n",
    "x = np.linspace(-1, 1, 100)   \n",
    "\n",
    "plt.figure()\n",
    "plt.xlabel(f'$x$')\n",
    "plt.ylabel(f'$y$')\n",
    "plt.plot( x, b/a*np.sqrt(a**2-x**2),'b')\n",
    "plt.plot( x, -b/a*np.sqrt(a**2-x**2),'g')\n",
    "plt.plot([c,-c],[0,0],marker='o',color='r',linestyle=' ')\n",
    "\n",
    "plt.axis('equal')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. Parametric equation\n",
    "Using the parameter $t$, the  parametric representation of an ellipse with half axes $a$ and $b$ is as follows:\n",
    "$$ x = a \\cos{t} $$\n",
    "$$ y = b \\sin{t} $$\n",
    "$$ 0 \\ge t \\le 2\\pi $$\n",
    "\n",
    "The focal points (foci) are given by:\n",
    "$$ \\text{focus:} \\quad x_f=\\pm \\sqrt{a^2-b^2} =\\pm f$$\n",
    "$$ \\text{eccentricity:} \\quad e=\\frac{\\sqrt{a^2-b^2}}{a} =f/a$$\n",
    "\n",
    "For each point on the ellipse the sum of the distances to the two foci is constant:\n",
    "$$d_1 + d_2 = 2a \\ . $$\n",
    "\n",
    "The area of the ellipse is\n",
    "$$A=\\pi a b \\ .$$\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://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",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a=1.     # radius on the x-axis\n",
    "b=0.75   # radius on the y-axis\n",
    "\n",
    "c=np.sqrt(a**2-b**2)\n",
    "\n",
    "t = np.linspace(0, 2*np.pi, 100)\n",
    "\n",
    "plt.figure()\n",
    "plt.xlabel(f'$x$')\n",
    "plt.ylabel(f'$y$')\n",
    "plt.plot( a*np.cos(t) , b*np.sin(t) )\n",
    "plt.plot([0,a],[0,0],color='r')\n",
    "plt.text(0.5, -0.1, f'$a$',color='r')\n",
    "plt.plot([0,0],[0,b],color='m')\n",
    "plt.text(-0.1, 0.4, f'$b$',color='m')\n",
    "plt.plot([0,c],[b,0],color='r')\n",
    "plt.text(0.34, 0.4, f'$a$',color='r')\n",
    "plt.plot([0,c],[0.01,0.01],color='y')\n",
    "plt.text(0.3, 0.03, f'$f$',color='y')\n",
    "\n",
    "tt=5.2\n",
    "plt.plot( a*np.cos(tt) , b*np.sin(tt),marker='o',color='b' )\n",
    "plt.plot( [-c,a*np.cos(tt)],[0,b*np.sin(tt)],color='b' )\n",
    "plt.plot( [c,a*np.cos(tt)],[0,b*np.sin(tt)],color='b' )\n",
    "plt.text(-0.32, -0.3, f'$d_1$',color='b')\n",
    "plt.text(0.6, -0.3, f'$d_2$',color='b')\n",
    "\n",
    "plt.plot([c,-c],[0,0],marker='o',color='r',linestyle=' ')\n",
    "\n",
    "plt.axis('equal')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Cone section\n",
    "The shape of the ellispe is defined in polar coordinates:\n",
    "\n",
    "$$ r = \\frac{e d}{1 + e \\cos (\\theta+\\delta)} = \\frac{a(1-e^2)}{1+e \\cos(\\theta + \\delta)}$$\n",
    "\n",
    "Note that one focal point is in the origin of the coordinate system. The eccentricity is defined as\n",
    "\n",
    "$$e=\\frac{\\sqrt{a^2-b^2}}{a}$$\n",
    "\n",
    "and the factor $ed$ is given as\n",
    "\n",
    "$$ed = \\frac{b^2}{a} = a(1-e^2)\\ . $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://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",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img 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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a=1.     # radius on the x-axis\n",
    "b=0.75   # radius on the y-axis\n",
    "\n",
    "e = np.sqrt(a**2-b**2)/a\n",
    "ed = b**2/a\n",
    "\n",
    "t = np.linspace(0, 2*np.pi, 200)\n",
    "\n",
    "r = ed/(1+e*np.cos(t))\n",
    "\n",
    "plt.figure()\n",
    "plt.plot( r*np.cos(t) , r*np.sin(t) )\n",
    "plt.plot([0],[0],marker='o',color='r',linestyle=' ')\n",
    "\n",
    "plt.axis('equal')\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4. Interactive plot 1\n",
    "\n",
    "Adjust the ellipse by moving the sliders for the half axes $a$ and $b$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_ell1(a, b):\n",
    "    c = np.sqrt(a**2-b**2)\n",
    "    t = np.linspace(0, 2*np.pi, 100)\n",
    "    e=np.sqrt(a**2-b**2)/a\n",
    "\n",
    "    ell.set_data( a*np.cos(t) , b*np.sin(t)) \n",
    "    f1.set_data([c,-c],[0,0])\n",
    "    ee.set_text(f'$e$={e:.2f} ')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://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",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ed6c17a4a49041c6a32387d5b1e8572e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=1.0, description='a', max=1.0, step=0.01), FloatSlider(value=0.75, des…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1)\n",
    "\n",
    "ax.axis('equal')\n",
    "ax.grid(True)\n",
    "ax.set_xlim([-1.1, 1.1])\n",
    "ax.set_ylim([-0.8, 0.8])\n",
    "\n",
    "ell, = ax.plot(1,1,color='b')\n",
    "f1,  = ax.plot(1,1,color='r',marker='o',linestyle=' ')\n",
    "ee = ax.text(0.4, 0.85, f'')\n",
    "\n",
    "widgets.interact(update_ell1, \\\n",
    "         a=widgets.FloatSlider(min=0,max=1,step=0.01,value=1, description='a'), \\\n",
    "         b=widgets.FloatSlider(min=0,max=1,step=0.01,value=0.75, description='b') );"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5. Interactive plot 2\n",
    "\n",
    "Adjust the ellipse by moving the sliders for the eccentricity $e$, scale $d$ and phase shift $\\delta$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_ell2(e, d,delta):\n",
    "    t = np.linspace(0, 2*np.pi, 100)\n",
    "    r = e*d/(1+e*np.cos(t+delta))\n",
    "    ell.set_data( r*np.cos(t) , r*np.sin(t)) \n",
    "    f1.set_data([0],[0])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://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",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "26adaac92f0846448199d8c51efa496f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(FloatSlider(value=0.6, description='e', max=3.0, step=0.01), FloatSlider(value=0.75, des…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1)\n",
    "\n",
    "ax.axis('equal')\n",
    "ax.grid(True)\n",
    "ax.set_xlim([-2.1, 1.1])\n",
    "ax.set_ylim([-0.8, 0.8])\n",
    "\n",
    "ell, = ax.plot(1,1,color='b')\n",
    "f1,  = ax.plot(1,1,color='r',marker='o',linestyle=' ')\n",
    "\n",
    "\n",
    "widgets.interact(update_ell2, \\\n",
    "         e=widgets.FloatSlider(min=0,max=3,step=0.01,value=0.6, description='e'), \\\n",
    "         d=widgets.FloatSlider(min=0,max=2,step=0.01,value=0.75, description='d'), \\\n",
    "         delta=widgets.FloatSlider(min=0,max=2*np.pi,step=0.01,value=0., description='$\\delta$'));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2nd law: a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.\n",
    "\n",
    "Demonstration of the constancy of the sector velocity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.rubberband_canvas.style.cursor = msg['cursor'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\n",
       "                /* FIXME: We get \"Resource interpreted as Image but\n",
       "                 * transferred with MIME type text/plain:\" errors on\n",
       "                 * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "                 * to be part of the websocket stream */\n",
       "                img.type = 'image/png';\n",
       "            }\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                img\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from https://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",
       " * https://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# nearly circular orbit\n",
    "#e=0.01; d=40\n",
    "\n",
    "# moderately eccentric orbit\n",
    "e=0.62; d=0.75\n",
    "\n",
    "# strongly eccentric orbit\n",
    "#e=0.91; d=0.13\n",
    "\n",
    "t = np.linspace(0, 2*np.pi, 100)\n",
    "r = lambda e,d,p: e*d/(1+e*np.cos(p))\n",
    "\n",
    "nf = 500\n",
    "dphi = 0.01\n",
    "phi = 0\n",
    "\n",
    "rr=np.zeros(nf); pp=np.zeros(nf)\n",
    "for i in range(nf):\n",
    "    rr[i]=r(e,d,phi)\n",
    "    pp[i]=phi\n",
    "    phi = phi + 1/(rr[i]**2) * dphi\n",
    "    \n",
    "fig,ax = plt.subplots(1)\n",
    "ell, = ax.plot([],[],color='b')\n",
    "l1,  = ax.plot([],[],color='r')\n",
    "f0,  = ax.plot([],[],color='g',marker='o')\n",
    "f1,  = ax.plot([],[],color='r',marker='o')\n",
    "plt.title(f\"$e$={e:.2f}  $d$={d:.2f}\")\n",
    "\n",
    "def init():\n",
    "    ax.axis('equal')\n",
    "    ax.grid(True)\n",
    "    ax.set_xlim([-2.1, 1.1])\n",
    "    ax.set_ylim([-0.8, 0.8])\n",
    "    ell.set_data( r(e,d,t)*np.cos(t), r(e,d,t)*np.sin(t)) \n",
    "    f0.set_data([0],[0])\n",
    "\n",
    "def animate(j):\n",
    "    x=np.cos(pp[j])*rr[j]\n",
    "    y=np.sin(pp[j])*rr[j]\n",
    "    f1.set_data(x,y)\n",
    "    l1.set_data([0,x],[0,y])\n",
    "    return f1,l1\n",
    "    \n",
    "ani=matplotlib.animation.FuncAnimation(fig, animate, frames=nf, init_func=init, repeat=False,blit=True,interval=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<video width=\"640\" height=\"480\" controls autoplay>\n",
       "  <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAHGZ0eXBNNFYgAAACAGlzb21pc28yYXZjMQAAAAhmcmVlAAHQRm1kYXQAAAKvBgX//6vcRem9\n",
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       "\">\n",
       "  Your browser does not support the video tag.\n",
       "</video>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# convert to html5 video\n",
    "# plt.rcParams['animation.ffmpeg_path'] = '/path_to_your/ffmpeg'\n",
    "video = ani.to_html5_video()\n",
    "html = display.HTML(video)\n",
    "display.display(html)\n",
    "plt.close()       "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "nbTranslate": {
   "displayLangs": [
    "en",
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}