Butterfly.ipynb

{
 "cells": [
  {
   "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.one(\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",
       "\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",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:,\" width=\"0\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.animation import FuncAnimation\n",
    "import matplotlib.animation as animation\n",
    "from IPython import display\n",
    "\n",
    "%matplotlib notebook\n",
    "\n",
    "# plt.figure(figsize=(10,5.625))\n",
    "fig, ax = plt.subplots(figsize=(10,5.625))\n",
    "\n",
    "angle = 12*180\n",
    "\n",
    "# Set the range for the axis\n",
    "x_limit = 8\n",
    "y_limit = 4.5\n",
    "y_shift = 2\n",
    "ax.set_xlim(-x_limit, x_limit)\n",
    "ax.set_ylim(-y_limit, y_limit)\n",
    "\n",
    "# The x axis and y axis\n",
    "# x axis\n",
    "plt.plot([-x_limit,x_limit],[0,0],color = \"w\")\n",
    "# y axis\n",
    "plt.plot([0,0],[-y_limit,y_limit],color = \"w\")\n",
    "\n",
    "# The function you want to draw\n",
    "def X(t):\n",
    "    y = np.sin(t)*(np.exp(np.cos(t)) - (2*np.cos(4*t)) - (np.sin(t/12))**5)\n",
    "    return y\n",
    "\n",
    "def Y(t):\n",
    "    y = np.cos(t)*(np.exp(np.cos(t)) - (2*np.cos(4*t)) - (np.sin(t/12))**5)\n",
    "    return y\n",
    "\n",
    "t = np.linspace(0,angle*np.pi/180,angle + 1)\n",
    "x_data = X(t)\n",
    "y_data = Y(t)\n",
    "\n",
    "def animation_frame(i):\n",
    "    plt.plot(x_data[0:i],y_data[0:i],color = \"#cc00cc\",linewidth = 1)\n",
    "    plt.xticks([])\n",
    "    plt.yticks([])\n",
    "    # Name = \"k = \"+str(k)\n",
    "    # plt.title(Name)\n",
    "\n",
    "\n",
    "# anim = FuncAnimation(fig, func=animation_frame, frames=range(0, 360+1, 1), interval=5)\n",
    "anim = FuncAnimation(fig, func=animation_frame, frames=range(0, angle+1, 1), interval=10)\n",
    "plt.show()\n",
    "\n",
    "# writervideo = animation.FFMpegWriter(fps=50) #fps = Frame per second (This is the speed of the  animation) \n",
    "# file_name = \"Butterfly.mp4\"\n",
    "# anim.save(file_name, writer=writervideo, dpi = 250) #dpi = dots per inch (This is the quality of the image)"
   ]
  },
  {
   "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_dpi_ratio', { dpi_ratio: fig.ratio });\n",
       "        }\n",
       "        fig.send_message('refresh', {});\n",
       "    };\n",
       "\n",
       "    this.imageObj.onload = function () {\n",
       "        if (fig.image_mode === 'full') {\n",
       "            // Full images could contain transparency (where diff images\n",
       "            // almost always do), so we need to clear the canvas so that\n",
       "            // there is no ghosting.\n",
       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
       "        }\n",
       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
       "    };\n",
       "\n",
       "    this.imageObj.onunload = function () {\n",
       "        fig.ws.close();\n",
       "    };\n",
       "\n",
       "    this.ws.onmessage = this._make_on_message_function(this);\n",
       "\n",
       "    this.ondownload = ondownload;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_header = function () {\n",
       "    var titlebar = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "    if (this.ratio !== 1) {\n",
       "        fig.send_message('set_dpi_ratio', { dpi_ratio: this.ratio });\n",
       "    }\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.one(\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",
       "\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",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6152370220>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(x_data[0:360],y_data[0:360],\"m\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}