course-II/M2-Lectures Basic Charting.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plotting with Matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'nbAgg'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl.get_backend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.plot?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**plt.plot**'s signature : _plt.plot(*args, scalex=True, scaley=True, data=None, ***kwargs)_\n",
    "\n",
    "The _***args**_ means you can pass unlimited unnamed arguments.\n",
    "\n",
    "The _****kwargs**_ means you can pass unlimited named arguments.\n",
    "\n",
    "This makes the _plot_ function very flexible, but also ambiguous when it comes to assigning arguments. \n",
    "\n",
    "Basically, the arguments are interpreted as X, Y pairs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2666160c308>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot(3,2,'.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pyplot is a scripting interface, it keeps track of the latest _**figures, subplots, and axis objects.**_\n",
    "\n",
    "Pyplot.plot() looks to see if there is a figure that already exists to work on, if not it creates one.\n",
    "\n",
    "Pyplot.gca: gets current axis. Pyplot.gcf: gets current figure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"499.9245462930264\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[0, 6, 0, 10]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize=[5, 3])\n",
    "plt.plot(3,2,'o')\n",
    "ax = plt.gca()\n",
    "ax.axis([0, 6, 0, 10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "axis() set the x and y limits: _axis([xmin,xmax,ymin,ymax])_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x27b09b2c408>,\n",
       " <matplotlib.spines.Spine at 0x27b093ef748>,\n",
       " <matplotlib.spines.Spine at 0x27b093ef9c8>,\n",
       " <matplotlib.spines.Spine at 0x27b093efe88>,\n",
       " <matplotlib.spines.Spine at 0x27b093efc08>,\n",
       " <matplotlib.axis.XAxis at 0x27b093ef7c8>,\n",
       " <matplotlib.axis.YAxis at 0x27b092a40c8>,\n",
       " Text(0.5, 1.0, ''),\n",
       " Text(0.0, 1.0, ''),\n",
       " Text(1.0, 1.0, ''),\n",
       " <matplotlib.patches.Rectangle at 0x27b09b19b88>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax=plt.gca()\n",
    "ax.get_children()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One line object is the data point. \n",
    "\n",
    "Spine are renderings of the borders of the frame. \n",
    "\n",
    "Rectangle is the bakcground for the axis.\n",
    "\n",
    "Basically, **plot()** generates a series of lines that gets rendered against an axis object. Pyplot module has other useful methods in the scripting layer like **scatter().**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Scatterplots"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A scatterplot is a 2-dim plot similar to the line plot we've seen.\n",
    "**scatter()** takes an x-axis value as a first argument, and y-axis value as the second. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x266639a7b08>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "x = np.array([1,2,3,4,5,6,7])\n",
    "y = x\n",
    "\n",
    "plt.figure()\n",
    "plt.scatter(x,x)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**scatter()** doesn't represent items as a series. It's not like every point has a _x, y, name, and color_. \n",
    "\n",
    "Instead, we can pass a list of colors to scatter to represent certain points. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x26663d0f188>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colors=['green']*(len(x)-1)\n",
    "colors.append('red')\n",
    "\n",
    "plt.figure()\n",
    "plt.scatter(x, x, s=100, c=colors)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Zip function and list unpacking\n",
    "the **zip method** takes a number of iterables and creates tuples, matching them based on index.\n",
    "Zip method returns a generator, to see the results we can use **list()**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(1, 6), (2, 7), (3, 8), (4, 9), (5, 10)]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zip_generator = zip([1,2,3,4,5],[6,7,8,9,10])\n",
    "list(zip_generator)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's common to store data in **tuples**. It's therefore very important to know to go to and from tuples. \n",
    "\n",
    "We can use parameter unpacking with **_zip()_** to turn the tuples back into lists. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 2, 3, 4, 5)\n",
      "(6, 7, 8, 9, 10)\n"
     ]
    }
   ],
   "source": [
    "zip_generator = zip([1,2,3,4,5],[6,7,8,9,10])\n",
    "x,y= zip(*zip_generator)\n",
    "print(x)\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Scatterplot: Axis, Legends."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll plot the two lists as two data series after slicing them."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2666406da48>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.scatter(x[:2], y[:2], s=100, c='red', label='Tall Students')\n",
    "plt.scatter(x[2:], y[2:], s=100, c='blue', label='Short Students')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Axis** generally have labels to them. **Charts** have titles as well. **Legends** are artists and can contains children."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1, 'Relationship between ball kicking and grades')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.xlabel('The number of ball kicks')\n",
    "plt.ylabel('The grade')\n",
    "plt.title('Relationship between ball kicking and grades')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x266643d02c8>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x266639bfbc8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#to change the corner where the legend is displayed, get rid of the frame and add a title. \n",
    "plt.legend(loc=4, frameon=False, title='Legend')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.collections.PathCollection at 0x2666406d208>,\n",
       " <matplotlib.collections.PathCollection at 0x2666406da48>,\n",
       " <matplotlib.spines.Spine at 0x2666403c808>,\n",
       " <matplotlib.spines.Spine at 0x2666403c9c8>,\n",
       " <matplotlib.spines.Spine at 0x2666403cb88>,\n",
       " <matplotlib.spines.Spine at 0x2666403cd48>,\n",
       " <matplotlib.axis.XAxis at 0x2666403c788>,\n",
       " <matplotlib.axis.YAxis at 0x266640414c8>,\n",
       " Text(0.5, 1, 'Relationship between ball kicking and grades'),\n",
       " Text(0.0, 1, ''),\n",
       " Text(1.0, 1, ''),\n",
       " <matplotlib.legend.Legend at 0x266639bfbc8>,\n",
       " <matplotlib.patches.Rectangle at 0x2666404f448>]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.gca().get_children()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "legend=plt.gca().get_children()[-2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.offsetbox.TextArea at 0x2666402d088>,\n",
       " <matplotlib.offsetbox.HPacker at 0x2666402d708>]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "legend.get_children()[0].get_children()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Line Plots\n",
    "Lineplots are created using _**plot()**_. It plots different _series_ of _data points_, connects each series in a point with a line. \n",
    "\n",
    "Down below, we'll plot datapoints of two series: _linear_data_ and _quadratic_data_. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x266643fb448>,\n",
       " <matplotlib.lines.Line2D at 0x26664403dc8>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "linear_data= np.array([1,2,3,4,5,6,7,8])\n",
    "quadratic_data= linear_data**2\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(linear_data, '-o', quadratic_data, '-o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We only gave x-axis to the function _**plot()**_, it was smart to understand that the x-axis can be the indices of the series. <br> Unlike **_scatterplot()_**, we don't have to label the data points. \n",
    "\n",
    "To plot a dashed line, we can use the following:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x266647366c8>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.plot([21,44,55],'--r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x266643ea308>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.xlabel('Some data')\n",
    "plt.ylabel('Some Other data')\n",
    "plt.title('A title')\n",
    "plt.legend(['Europe','Africa','Americas'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To fill between linear data and quadratic data, we'll use as arguments the same **range** of the data points, **lower bounds** and **upper bounds**, the **color** and **transparency**. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PolyCollection at 0x26664732d48>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.gca().fill_between(range(len(linear_data)), \n",
    "                       linear_data, quadratic_data, \n",
    "                       facecolor='blue', \n",
    "                       alpha=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**np.arrange()** is used to sample dates, but they're not well handled as we can see in the graph. <br> We can use Pandas' **to_datetime()** instead. It converts Numpy dates, into standard library dates expected by Matplotlib."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2666473ec88>,\n",
       " <matplotlib.lines.Line2D at 0x26664781548>]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "\n",
    "obs_dates = np.arange('2020-01-01', '2020-01-09', dtype='datetime64[D]')\n",
    "\n",
    "plt.plot(obs_dates, linear_data, '-o',\n",
    "        obs_dates, quadratic_data, '-o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The tick labels stand for the dates written down. They need to be rotated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = plt.gca().xaxis\n",
    "\n",
    "for item in x.get_ticklabels():\n",
    "    item.set_rotation(45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Text(0.5, -32.10831969736306, ''),\n",
       " Text(1, -30.574754937737733, ''),\n",
       " <matplotlib.axis.XTick at 0x26664759fc8>,\n",
       " <matplotlib.axis.XTick at 0x26664732fc8>,\n",
       " <matplotlib.axis.XTick at 0x266647813c8>,\n",
       " <matplotlib.axis.XTick at 0x266618a5a88>,\n",
       " <matplotlib.axis.XTick at 0x266618c0588>,\n",
       " <matplotlib.axis.XTick at 0x266618c0c88>,\n",
       " <matplotlib.axis.XTick at 0x266618b48c8>,\n",
       " <matplotlib.axis.XTick at 0x266618c0608>]"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.get_children()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.subplots_adjust(bottom=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib as heavily based on LaTeX, we can use mathematics formulas in the titles. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1, 'Quadratic vs. Linear performance')"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax = plt.gca()\n",
    "ax.set_xlabel(\"Date\")\n",
    "ax.set_ylabel(\"Units\")\n",
    "ax.set_title(\"Quadratic vs. Linear performance\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1, 'Quadratic ($x^2$) vs. Linear ($x$) performance')"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.set_title('Quadratic ($x^2$) vs. Linear ($x$) performance')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bar Charts\n",
    "For bar charts, we pass in the parameters of the **x components** and **the height of the bars**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"639.3962494255012\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 8 artists>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "xvals= range(len(linear_data))\n",
    "plt.bar(xvals, linear_data, width = 0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 8 artists>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_xvals=[]\n",
    "for item in xvals: \n",
    "    new_xvals.append(item+0.3)\n",
    "plt.bar(new_xvals, quadratic_data, width=0.3, color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's unconvenient to calculate in the case of multiple bars. Also, to add data to the bar, a manual iteration should be done. <br> \n",
    "Plotting several series of data in groups across time is not one of the pyplot bars' strengths. \n",
    "\n",
    "We can plot error bars using **yerr** in the **plt.bar()**. We can consider our linear data points to be mean values and we will create random error values, and plot. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import randint \n",
    "linear_err = [ randint(0,15) for x in range(len(linear_data))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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FIS3wJC7SYhFm3vSCXegWS/NsWlMWc16hYgthZrGzgw7M96uhSEWrbdgEuhYs16aY9OYmpr1ChEbZkbjKrGIKQXhLTDkbhJi0eaedMIdaNZLc2waU1azXiFiS6GmsTPDzoy3a2GIRestmAQ61qyX5tg0pqZmvULEhpnRuEosYkpBeAsMuZuEWLS5J51wB5r10hybxpTVrFeI2FKoadHszKxYsUImTpwoixYtkrfeeku6deuW/efOx9y5c2X06NGydOlSOeSQQ2TkyJEyZMiQqtZ7CsJXBaTGxiEWbY1T5TQR0ayX5tg0Jq9mvULElkJNi8bMzJw5U4YOHSq9e/fOLrpbt27dxcwYo3PiiSfKJZdcIgMHDpRXX31VxowZIw899JBcfvnl1ms+BeGtYeRoGGLR5phu8qdq1ktzbBoTV7NeIWJLoaZFY2aMeWnSpEm2bgcNGiRLlizZxcycfvrpsn79elm8eHH9+r7iiitk9uzZsmbNmvrzG1v8KQjfGAMXfw+xaF3MO9U+NOulOTaN+apZrxCxpVDTojEz2y/YSmZm8+bNst9++8mECRNkxIgR9c3nz58vp5xySmZ+evbsabXuUxDeCkTORiEWbc4pJ326Zr00x6YxaTXrFSK2FGqaGjNjnpHp3r27mGdm+vfvX7++161bJ61bt5apU6dmt55sjhSEt+GQt02IRZt3zimfr1kvzbFpzFnNeoWILYWapsbMmOdj+vbtKwsXLpQ+ffrUr+8tW7ZIs2bN5L777pPhw4dXXPcbN26UTZs21f+trq4u62P16tXSrl07jdeKQmIKsWgLCUzpIJr10hybxnTUrFeI2DAzJV0llW4zbTMz5iFg85DwtmObmZk0aZIMGzasYkRjx46VcePG7fI3zEy+BAixaPPNOO2zNeulOTaNWatZrxCxYWZKukoqmZk8t5nYmfEjdIhF6yeSNHrVrJfm2DRmp2a9QsSGmSnpKuEB4JIKs9O0QizaOMiUc5aa9dIcWzmzKd+sNOsVIjbMTL589Hb27l7N3rBhQ/bczLbjqquuklmzZvFqtjc1Gu44xKINEKaaITXrpTk2NQm4XSCa9QoRG2amRKvk008/lTlz5mQzmjx5srz77rtyzz33ZP+9V69e0r59+8zEnHTSSdl3aAYMGJB9NO+WW27ho3mBdAyxaAOFqmJYzXppjk1F8iW0qxsiFzEzJVolq1atko4dO1ac0WOPPZYZGHMYw3PjjTfKsmXL6v85A/Pl4GqOFISvhketbUMs2lrnynn8cwbkQHkIaL52hIgthZoW5avZvpdcCsL7Zmj6D7Foi4hL6xia9dIcm8Z81KxXiNhSqGmYmQpXghSEL+ICGGLRFhGX1jE066U5No35qFmvELGlUNMwM5gZb9fCEIvWWzAJdKxZL82xaUxNzXqFiA0zo3GVWMSUgvAWGHI3CbFoc0864Q4066U5No0pq1mvELGlUNPYmWFnxtu1MMSi9RZMAh1r1ktzbBpTU7NeIWLDzGhcJRYxpSC8BYbcTUIs2tyTTrgDzXppjk1jymrWK0RsKdQ0dmbYmfF2LQyxaL0Fk0DHmvXSHJvG1NSsV4jYMDMaV4lFTCkIb4Ehd5MQizb3pBPuQLNemmPTmLKa9QoRWwo1jZ0Zdma8XQtDLFpvwSTQsWa9NMemMTU16xUiNsyMxlViEVMKwltgyN0kxKLNPemEO9Csl+bYNKasZr1CxJZCTWNnhp0Zb9fCEIvWWzAJdKxZL82xaUxNDXp1GPWritL8e/1fpe6RK7O/Hfy/D0mzAw+p2G7VhDOdSYuZcYYyro5SEL4IRTRckIrgVJYxNOulObay5I/LeWjQCzPjMiMa74udGXZmGs+SGltouCDVGHqUp2nWS3NsUSZbI5PWoBdmptjMxMxgZrxlnIYLkjc4JexYs16aYythKuWekga9MDO506CqDjAzmJmqEqaaxhouSNXEG3tbzXppji32vKs0fw16YWaKzUzMDGbGW8ZpuCB5g1PCjjXrpTm2EqZS7ilp0AszkzsNquoAM4OZqSphqmms4YJUTbyxt9Wsl+bYYs87dmZ4m8lFDmNmMDMu8qhiHxQQb2i9dKxZL82xeUmGwJ1q0IudmWKTCDODmfGWcRouSN7glLBjzXppjq2EqWQ9pbwF3wzk8nss1hO3aJg3NpdxpfC5EcwMZsZiWdbWhAJSG7dQZ2nWS3NsofLFxbh5Cz5mxk4FzIwdJ3WtUhC+CNEoIEVQdjeGZr00x+YuA4rvCTPDF4BdZR07M+zMuMqlXfqhgHhD66VjzXppjs1LMhTUKWYGM+Mq1TAzmBlXuYSZ8UaymI41F3zNsRWTHX5GwcxgZlxlFmYGM+MqlzAz3kgW07Hmgq85tmKyw88omBnMjKvMwsxgZlzlEmbGG8liOtZc8DXHVkx2+BkFM4OZcZVZmBnMjKtcwsx4I1lMx5oLvubYiskOP6NgZjAzrjILM4OZcZVLmBlvJIvpWHPBjz22hoq+bWa4/GaJ7Zg27TAzmBmbPLFpg5nBzNjkSU1tYi8gNQUd8Uma9Yo9NsxM5U/+m+Wm1ai5jCuFz42oMjNTpkyRwYMH71JOhgwZIvfff791mUlBeGsYORrGXkByhB7lqZr1ij02zAxmJs9FJYWaptLMzJs3T/bff/967du2bSsdOnSwzoUUhLeGkaNh7AUkR+hRnqpZr9hjw8xgZvJcVFKoaSrNzLp166Rly5Y1a5+C8DXDqeLE2AtIFaGqaKpZr9hjw8xgZvJcZFKoaZgZnpnJs0Z2e27sBcQbmJJ2rFmv2GPDzGBm8lw2MDN56AU4d9szM23atBGzO3PYYYfJoEGDZPTo0dK0aVPrGaUgvDWMHA1jLyA5Qo/yVM16xR4bZgYzk+eikkJNU7Uz88ILL8iiRYukd+/esscee8jcuXNl0qRJMnDgQDFGp6Fj48aNsmnTpvo/19XVSZ8+fWT16tXSrl27PDmU9LmxF5DUxNOsV+yxYWYwM3muR5iZPPRKcu64ceNk7NixsmLFCuncuXPFWZm/m3Y7H5iZfCLGXkAaip648uWFz7PzfrfE5euwLuPEzGBm8uQTZiYPvZKcu2zZMjnqqKPk6aeflvPPP7/irNiZ8SMWRd8PV1+9atALM1M5O2Izaf9e/1epe+TKLJiD/7fhD8uZv2uNzWVcmBlfV80C+126dKl07959t2Zm5+mkIHwREmgojpU4EVcR2VPbGJgZzExtmeP+rDLlYgo1TdUzM5XSccyYMTJ+/PjsNlOnTp2sMjYF4a1A5GxE0c8JsODTNehVpgLiUj5uM3GbKU8+pVDTVJmZfv36yWmnnSY9evSQJk2aZA8AP/DAA9lXgR955BHrXEhBeGsYORpqKI7szORIgACnYmbYmQmQdhWHLFMuplDTVJmZa665JjMwa9askS1btsjhhx+eGRnzv5u3m2yPFIS3ZZGnHWYmD73iz9WgV5kKiEsF2ZlhZyZPPqVQ01SZmTxib39uCsK7YrW7fjQUR3ZmisgUd2NgZtiZcZdN+XoqUy6mUNMwMxXyNQXh8y1Tu7MxM3acytJKg15lKiAudWVnhp2ZPPmUQk3DzGBm8qyR3Z6roThq3JnJW/ANE5evjbpMwLyxxRaXLbvY4tL8anYIzTAzttSVtUtB+CIkw8wUQbn6MfIWfMxM9czznsHOjJ6dGdtccGlAU6hp7MywM2O7tqpuh5mpGlkhJ2BmGv4Im8sC4lJMzAxmJk8+YWby0Iv43BSEL0IezEwRlKsfAzODmak+a/yckWIu2pJ0aaxTqGnszLAzY7u2qm6HmakaWSEnpFhAbJ/BcFlAXIrJzgw7M3nyCTOTh17E56YgfBHyYGaKoFz9GJgZdmaqzxo/Z6SYi7YkXRrrFGoaOzPszNiurarbYWaqRlbICSkWEHZmziwkt6odJMVctGWEmbEl9d92mBnMTHUZU0VrzEwVsApsmmIBwcxgZgpcYtlQZbo1yM5M0eqXZLwihdda8I2UsceWt+i7/GXlcmnkjcvMRWtsscVlmxexxWVrPmPMxRCaFVnTbONz3Y6dmcA7M7EX/N0lZOyx5S36FBDXl6vG+0tNs8aJ/LcFuWhLyl07dmbcsbTpCTODmbHJk5raYGbY2q8pcXKchJmpDA8zkyOpajwVM1MjuBpPw8xgZmpMncZPw8xgZhrPErctMDOYGbcZVXtvmJna2dVyJmYGM1NL3lidg5nBzFglisNGmBnMjMN0ytUVZiYXvqpPxsxgZqpOGtsTMDOYGdtccdUOM4OZcZVLefvBzOQlWN35mBnMTHUZU0VrzAxmpop0cdIUM4OZcZJIDjrBzDiAWEUXmBnMTBXpUl1TzAxmprqMyd8aM4OZyZ9FbnrAzLjhaNsLZgYzY5srDbZLrYDYfgODN0hyp1bVHaSWi7aAyEVbUu7aYWbcsbTpCTODmbHJk922Sa2AYGb0frcktqJvu3hji8t2jZn4Y4sthGZ8NM+WurJ2RQof+60YIz1mpvK/6BvbRVZzAbGNLTbNbC+9scVlqxdmxi4DiqxpdjNy34qdGXZmcmcVZgYzkzuJHHWQWi7aYsPM2JJy147bTO5Y2vSEmcHM2OQJt5m2I2D7q5ECkju1qu4AM1MZGblYdSrlPgEzkxthVR1gZjAzVSVMpcapFRDMTHzPKWjVzHbxYmZsSblrh5lxx9KmJ8wMZsYmT9iZYWdmhxzQWhxji8t28cYWl635NPHHFlsIzXhmxpa6snZFCs8DwPFdjGwvtLFdZG3jirGA2MYWm2a2l97Y4rLVK8ZcDKFZkTXNNj7X7diZKWhnJu+tmBgXre0FKbYLre0ijC0uW73IRdsMcNeuTLcs3EWV/03IGHPRlp/L6wdmxpa6snY+hMfMPCTNDtTx1o9turu8GNmOadOOXCQXbfKkiDYp5qItV5fXDx81zTaOotqp25lZvny5DBs2TF555RXZe++95aKLLpI777xT9tprL2umPoRPcdHa/tJ3uWitRbZoyK/hyuYzxl/D5CL/tIbFknfapEzXDx81zSksB52pMjMbNmyQHj16SPv27eXmm2+WtWvXysiRI6V///7yxBNPWOPyITxmhl/D1gnouSG5SC56TjHr7lPMRVs4Ln/k+ahptnEU1U6VmTE7MLfeequ8//770rJly4zhk08+KQMGDJClS5fKkUceacXVh/ApLlp+DfNr2GrBOWyUd525LCAOw2rwK9u2Y8QWl+21I8ZdwhCa+ahptnEU1U6VmTn55JPlgAMOkJkzZ9bz27x5s+y///5y++23y7XXXmvF1YfweS+yMS5a2wtSbBdaqySK8JVRW73IRdsMcNeuTLcs3EXFA8C7Y+nyuuijprnMAxd9qTIzrVu3lssuu0wmTJiwA5vu3bvL8ccfL48++qgVMx/CY2bY2rdKvgIakYvkYgFpZjVEirloBcbxjyEfNc02jqLaqTIzzZo1k/Hjx8uoUaN24Ne3b18xRue5556ryHXjxo2yadOm+r/V1dVJnz59ZPXq1dKuXTsnWqS4aG1/6bv8BeJErP/rhF/DPADsMp/y9EUu6slF2zxweV3EzNhSL0k7Y2Zuu+02uf7663eY0QknnCBt27aVZ599tuJMx44dK+PGjdvlby7NTEOINHw0L8XYSpLyTqdBLjrFSWc5CGjOxRxYaj4VM1MzujAn1nqbqYidmRQLPhekMOug1lE166U5tlr1LvN56OVWHcyMW57eeyvzA8CYmbela9eu3nOAAWonoLmAaI6tdsXLeyZ6udUGM+OWp/fezKvZ5pkZ82p2ixYtsvGmT58uF198cfBXszEzmBnvCyDnAJoLiObYcspeytPRy60smBm3PL33tu2jeR06dNjho3n9+vUL/tE8zAxmxvsCyDmA5gKiObacspfydPRyKwtmxi3PQnozi2D48OGyYMGC7J8wMLsyZsfG/NMGtkeRwmtetJpjs82lmNpp1ktzbDHlmO1c0cuWlF27Imua3Yzct1L1arYrPEUKr3nRauaPl7EAABZ+SURBVI7NVa6VqR/NemmOrUw55Gou6OWK5H/7KbKmuZ25fW+YmQqsUhDePkVqb8kFqXZ2Ic7UrJfm2ELkCmPGRSCFmoaZwcx4W5UUEG9ovXSsWS/NsXlJBjpVRQAzo0pO+2BSEN6eRu0tKSC1swtxpma9NMcWIlcYMy4CKdQ0dmbYmfG2Kikg3tB66VizXppj85IMdKqKAGZGlZz2waQgvD2N2ltSQGpnF+JMzXppji1ErjBmXARSqGnszLAz421VUkC8ofXSsWa9NMfmJRnoVBUBzIwqOe2DSUF4exq1t6SA1M4uxJma9dIcW4hcYcy4CKRQ09iZYWfG26qkgHhD66VjzXppjs1LMtCpKgKYGVVy2geTgvD2NGpvSQGpnV2IMzXrpTm2ELnCmHERSKGmsTPDzoy3VUkB8YbWS8ea9dIcm5dkoFNVBDAzquS0DyYF4e1p1N6SAlI7uxBnatZLc2whcoUx4yKQQk1jZ4adGW+rkgLiDa2XjjXrpTk2L8lAp6oIYGZUyWkfTArC29OovSUFpHZ2Ic7UrJfm2ELkCmPGRSCFmsbODDsz3lYlBcQbWi8da9ZLc2xekoFOVRHAzKiS0z6YFIS3p1F7SwpI7exCnKlZL82xhcgVxoyLQAo1jZ0Zdma8rUoKiDe0XjrWrJfm2LwkA52qIoCZUSWnfTApCG9Po/aWFJDa2YU4U7NemmMLkSuMGReBFGoaOzPszHhblRQQb2i9dKxZL82xeUkGOlVFADOjSk77YFIQ3p5G7S0pILWzC3GmZr00xxYiVxgzLgIp1DR2ZtiZ8bYqKSDe0HrpWLNemmPzkgx0qooAZkaVnPbBpCC8PY3aW1JAamcX4kzNemmOLUSuMGZcBFKoaezMsDPjbVVSQLyh9dKxZr00x+YlGehUFQHMjCo57YNJQXh7GrW3pIDUzi7EmZr10hxbiFxhzLgIpFDT2JlhZ8bbqqSAeEPrpWPNemmOzUsy0KkqApgZVXLaB5OC8PY0am9JAamdXYgzNeulObYQucKYcRFIoaaxM8POjLdVSQHxhtZLx5r10hybl2SgU1UEMDORyTl27FgZN27cLrO+++675brrrrOOJgXhrWHkaEgByQEvwKma9dIcW4BUYcjICKRQ01TtzBgzc9ddd8lvf/vbHVKtffv2ctBBB1mnXwrCW8PI0ZACkgNegFM166U5tgCpwpCREUihpqkzMxMnTpSPP/44V6qlIHwuQJYnU0AsQZWkmWa9NMdWkvRhGiUmkEJNw8xUSMAUhC9i3VFAiqDsbgzNemmOzV0G0JNWAinUNHVmZvz48dKiRQtZv369dOnSRYYNGyZDhgypKkdTEL4qIDU2poDUCC7QaZr10hxboHRh2IgIpFDTVJmZJ554Qj744AM59thjZfPmzTJjxgyZMmWKjBkzRszzNA0dGzdulE2bNtX/ua6uTvr06SOrV6+Wdu3aRZSy5ZoqBaRcejQ2G816aY6tMV35OwQwM4FzwJgMY04aOzp06CDNmzev2Gzw4MEyffp0+eijj2Sfffap2Kaht6AwM42R3/3fKSD5+BV9tma9NMdWdJ4wXnwEMDOBNTO7KsaMNHYsXLgw20mpdMydO1fOOOMMee2116RXr14V27Az0xjh2v5OAamNW6izNOulObZQ+cK48RDAzMSjVYMznTNnjpx55pm7NTM7n5yC8EVISwEpgrK7MTTrpTk2dxlAT1oJpFDTVD0zUykRL7300uzZGXObae+997bK1RSEtwKRsxEFJCfAgk/XrJfm2ApOE4aLkEAKNU2VmenZs6cY83LEEUfIv/71L3nqqadk2rRpctttt8no0aOtUzAF4a1h5GhIAckBL8CpmvXSHFuAVGHIyAikUNNUmZkLL7xQXn/99fqHhrt37569lm3z3M32uZmC8EWsRQpIEZTdjaFZL82xucsAetJKIIWapsrMuErEFIR3xWp3/VBAiqDsbgzNemmOzV0G0JNWAinUNMxMhexNQfgiFi0FpAjK7sbQrJfm2NxlAD1pJZBCTcPMYGa8rV8KiDe0XjrWrJfm2LwkA52qIoCZUSWnfTApCG9Po/aWFJDa2YU4U7NemmMLkSuMGReBFGoaOzPszHhblRQQb2i9dKxZL82xeUkGOlVFADOjSk77YFIQ3p5G7S0pILWzC3GmZr00xxYiVxgzLgIp1DR2ZtiZ8bYqKSDe0HrpWLNemmPzkgx0qooAZkaVnPbBpCC8PY3aW1JAamcX4kzNemmOLUSuMGZcBFKoaezMsDPjbVVSQLyh9dKxZr00x+YlGehUFQHMjCo57YNJQXh7GrW3pIDUzi7EmZr10hxbiFxhzLgIpFDT2JlhZ8bbqqSAeEPrpWPNemmOzUsy0KkqApgZVXLaB5OC8PY0am9JAamdXYgzNeulObYQucKYcRFIoaaxM8POjLdVSQHxhtZLx5r10hybl2SgU1UEMDOq5LQPJgXh7WnU3pICUju7EGdq1ktzbCFyhTHjIpBCTWNnhp0Zb6uSAuINrZeONeulOTYvyUCnqghgZlTJaR9MCsLb06i9JQWkdnYhztSsl+bYQuQKY8ZFIIWaxs4MOzPeViUFxBtaLx1r1ktzbF6SgU5VEcDMqJLTPpgUhLenUXtLCkjt7EKcqVkvzbGFyBXGjItACjWNnRl2ZrytSgqIN7ReOkYvL1jpFALBCWBmgksQZgIpCF8EWYpjEZTdjYFe7ljSEwTKRCCFmsbODDsz3tYcxdEbWi8do5cXrHQKgeAEMDPBJQgzgRSEL4IsxbEIyu7GQC93LOkJAmUikEJNY2eGnRlva47i6A2tl47RywtWOoVAcAKYmeAShJlACsIXQZbiWARld2OglzuW9ASBMhFIoaaxM8POjLc1R3H0htZLx+jlBSudQiA4AcxMcAnCTCAF4YsgS3EsgrK7MdDLHUt6gkCZCKRQ09iZYWemTGuOuQQkgJkJCJ+hIeCRAGbGI9wyd52C8GXmz9zCEMDMhOHOqBDwTSCFmhbFzsySJUtk8uTJsmjRInn77bfljDPOkNmzZ1fU/2c/+5n88Ic/lFWrVkmXLl1kzJgxcv7551eVKykIXxUQGidBADOThMwEmSCBFGpaFGbmvvvuk5/85CfSu3dvefXVV6VHjx4VzcwzzzyTGZdRo0bJN77xDXn++eez8+bNm5f9d9sjBeFtWdAuHQKYmXS0JtK0CKRQ06IwM1u3bpUmTZpk2XfKKafIvvvuW9HMHHnkkfKlL31Jnn766fpM7devn2zcuDHb1bE9UhDelgXt0iGAmUlHayJNi0AKNS0KM7N92jVkZlauXCmdOnWS5557Ts4555z6Ux5//HEZPHiwrF27Vlq2bGmVwSkIbwWCRkkRwMwkJTfBJkQghZqmxszMmTNHzjzzTFm2bJl069atPk1ff/11Oe6442TBggXSt29fq/RNQXgrEDRKigBmJim5CTYhAinUNDVmZtq0aTJw4ED54IMPpG3btvVpumLFCjn88MNl5syZcvbZZ1dMX3MbatOmTfV/q6urkz59+sjq1aulXbt2CaU8oaZMADOTsvrErpkAZsaTusY8GNPR2NGhQwdp3rz5Ds0aus20zcx8+OGH0qZNm/pzli9fLl27dpVZs2bJWWedVXHIsWPHyrhx43b5G2amMYX4uyYCmBlNahILBP4/AcyMp2yYMmVK9hxLY8fChQuzHZLtj4bMTJ7bTOzMNKYEf0+BAGYmBZWJMUUCmJkSqs4DwCUUhSmpIICZUSEjQUBgFwKYmRImRWOvZh9zzDEyffr0+pn3799fNmzYwKvZJdSSKZWLAGamXHowGwi4IoCZcUUyZz/r1q2T+fPnZ72YL/rutdde2YfxzHHyySdLq1atsv9/xowZcuGFF8oNN9wgX//617OHfs0H9/hoXk4BOD0JApiZJGQmyAQJYGZKIvpLL70kp556asXZvPjii9mH9LYd5rsy2/45g86dO4t5uPeCCy6oKpIUhK8KCI2TIICZSUJmgkyQQAo1LbpXs4vIwxSEL4IjY8RFADMTl17MFgK2BFKoaZiZCtmQgvC2i4B26RDAzKSjNZGmRSCFmoaZwcyktaqJFgIQgEBiBDAziQm+LdwUhE9UWsKGAAQgkByBFGoaOzPszCS3sAkYAhCAQEoEMDMpqb1drCkIn6i0hA0BCEAgOQIp1DR2ZtiZSW5hEzAEIACBlAhgZlJSm52ZRNUmbAhAAAK6CWBmdOvbYHQpCJ+otIQNAQhAIDkCKdQ0bjNxmym5hU3AEIAABFIigJlJSW1uMyWqNmFDAAIQ0E0AM6NbX24zJaovYUMAAhBIiQBmJiW12ZlJVG3ChgAEIKCbAGZGt74NRrdy5Urp1KmTLFq0SA4++OBEKRA2BCAAAQhoIFBXVyd9+vSR9957Tzp27KghpF1i4AHgCrIuXrw4E54DAhCAAAQgoIWA+YHeu3dvLeHsEAdmpoKsn332mbz55pvSunVradq0qXfht7lmjTtBWmMjLu/LwvkAaOYcqdcOteploBUd25YtW2Tt2rVyzDHHSPPmzb3qFqpzzEwo8tuNq/l+ptbYiKsEC6fKKaBZlcACN9eql8GqObZQaYOZCUUeM1MC8rVPQevFSGtcmguIVs20xqU5F2u/ouY/EzOTn2HuHli0uREW3oFWzbTGpbmAaNVMa1yac7HwC/F2A2JmQtL/v7E3btwoP/7xj2XEiBGy//77l2BG7qagNTbicpcjRfWEZkWRdjOOVr0MHc2xuVG/+l4wM9Uz4wwIQAACEIAABEpEADNTIjGYCgQgAAEIQAAC1RPAzFTPjDMgAAEIQAACECgRAcxMicRgKhCAAAQgAAEIVE8AM1M9M86AAAQgAAEIQKBEBDAzgcVYvny5DBs2TF555RXZe++95aKLLpI777xT9tprr8Azyzf8ihUrZOLEidm/b/XWW29Jt27dsv+M+ZgxY4ZMmzZN3njjDVm/fr107txZrr76arnyyiulSZMmMYcmc+bMyfJu6dKlsmnTJjnkkEPk29/+towZM0bVG3Yff/xxlot//etf5fXXX5evfvWrUeo2ZcoUGTx48C5zHzJkiNx///1RxrTzpJ944onsLU+Tk+baeOyxx8rPf/5zadmyZZTxnXLKKTJ//vyKczdxmWs/R+0EMDO1s8t95oYNG6RHjx7Svn17ufnmm7PPTY8cOVL69+8vZiHHfMycOVOGDh2a/Tsg77zzjmzdujV6M2P+vS6j1TnnnCNt2rSRF198Ue644w655ppr5O67745Zrizf/vznP8txxx0nX/ziFzOtxo4dmxWQX//611HHtv3kr7vuuizWv/3tbyrMzLx583Ywm23btpUOHTpEr9ftt9+era0bbrhBTjjhhMxgv/TSS3LttddmRjvGY9sPhe3nfu+998qzzz4rH3zwQbQmrSxaYGYCKmF+Cd96663y/vvv1yfyk08+KQMGDMh+jRx55JEBZ5dvaGNetu1WDBo0SJYsWRK9mVm3bp20atVqBzDGfD744INijOmee+6ZD1rJzn7kkUfkiiuuyHYxNPzr8cagGXNtfu2b3TQNOzMmJ2PdqWgo3d9+++3sR94vfvEL+eY3v1myVeF2Op06dcqu87/61a/cdpxgb5iZgKKffPLJcsABB4jZxdh2bN68OfulZX6ZmF8hGg4tZqaSFlOnTpVLLrkk+4fjDjroIA1y1cfw3HPPyXe+8x1ZtWpVtiMV+2HW2/HHH5/tfJ566qmYmZIKOmrUKHnmmWfE3KrWfPzud7/Ldp3Mrevvfve7mkMtJDbMTCGYKw9i/lXuyy67TCZMmLBDg+7du2cX3UcffTTg7NwNrdnMmJ0Ls01sbhHuscce7qAF6uk///mP/Pvf/852Bk1uHnbYYTJr1qxAs3E3rDGdpkiaX/1ml1CLmTG3O83ujNHJrLPRo0dL06ZN3YEL0JN5tuTAAw/MnmeaNGmS/P3vf5evfOUr2a1cY0i1HOY2/GOPPZZdO/bZZx8tYQWLAzMTDL1Is2bNZPz48dlFdvujb9++YoyO+WWs4dBqZkxRNKbTPCR70003aZBKDj300Oy2kjnMDob5hRz7hdZ8Ov6II46QH/3oR9ktXPPsRexm5oUXXsgerje3zYyJnjt3blb4Bw4cKObh4JgP84C22ek0t3TNczP77bdfpp15ScKY7I4dO8YcXjb3LVu2ZM/+fO1rXxPzaAFHfgKYmfwMa+7BmJnbbrtNrr/++h36MFuP5kE+84tfw6HRzHz44YdZITHF3xRHo6WG409/+pOYN37Mw8DGaHfp0kV+85vfRL3rZN4W/OMf/ygLFizIJNJgZirl2rhx47KHts3tGfOmXazH4YcfnsXwhz/8Qb785S9nYXz66aeZiTnvvPNk8uTJsYZWP29jPs844wz55S9/qf65oKLEwswURbrCONxmCgg/x9Dml77ZCv/ss8+yX4stWrTI0Vt5TzWvoJutfvNKuikiMR7GlJmCaAzZtsJoNDvrrLOyt9FMfPvuu2+Moe0y52XLlslRRx0lTz/9tJx//vnRxmR+JLz77rvy0Ucf7RDDt771rexB+4Zeb44p4O9973vZbpp5i0nLD6HQ/DEzARXgAeCA8Gsc2hiYfv36ifk+0MKFC1U8GNsQCvP8jHlDy+we7nwrtEZ8hZ/2/PPPZ6/SN3T07Nkze4ZGw2FuwZjn7WI3M+ZZLfOcViUzY3ZEFy9eHLVc//znP7NPO5hbnuZNSA43BDAzbjjW1It5Ndts5ZtXs7f9up8+fbpcfPHF0b+avT0QLbeZzH3uc889V15++eXs/44++uiadI/lJLODceKJJ8pTTz0lF1xwQSzT3mGepiDu/LFGc8tpxIgR8tOf/jTbmTGGRsNhnt0y1xNzi8a88hvrse0tOrMzaL5zZI5PPvmk/jbTAw88EGto2bzNejIfyDPXELO+ONwQwMy44VhTL9s+mmc+crX9R/PML//YP5pn7nGbr8qaw9zjNtvG99xzT/bfe/XqFeWOhvk2ycMPPyx33XXXLhchs71vHlSM9TAmzRR2Y9DM16fffPPNLE7zC9J8j+V//ud/Yg1tl3lreGbGXCNOO+207Hss5ntO5paFKfLmq8Dm+0AxH+YbVebBevOWj/lEhVlX5trx2muvZc8+mee4Yj7M7TITh/nkwRe+8IWYQynV3DEzgeUwX8cdPnx49nCiKSJmV8bs2JjPd8d8mIXa0FsH5nVEs1sT22FMp9lFq3SY5y/MczSxHubzAOYXozGdppiYWI3BMV/MjdmkVdJDg5kxX502BmbNmjXZmzHmoVljZMz/ruETAWZHzeSe+QaXubVrvr5tXs2O9Z+f2JaH//jHP7KXO4xO5jrP4Y4AZsYdS3qCAAQgAAEIQCAAAcxMAOgMCQEIQAACEICAOwKYGXcs6QkCEIAABCAAgQAEMDMBoDMkBCAAAQhAAALuCGBm3LGkJwhAAAIQgAAEAhDAzASAzpAQgAAEIAABCLgjgJlxx5KeIAABCEAAAhAIQAAzEwA6Q0IAAhCAAAQg4I4AZsYdS3qCAAQgAAEIQCAAAcxMAOgMCQEIQAACEICAOwKYGXcs6QkCEIAABCAAgQAEMDMBoDMkBCAAAQhAAALuCGBm3LGkJwhAAAIQgAAEAhDAzASAzpAQgAAEIAABCLgjgJlxx5KeIAABCEAAAhAIQOD/AeP3j+2XGeRxAAAAAElFTkSuQmCC\" width=\"509.8868108024889\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 8 artists>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.1,3.1))\n",
    "plt.bar(xvals, linear_data , width = 0.3, yerr=linear_err)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stacked bars\n",
    "Stacked bar are used for cumulative values while keeping the series independent. <br>\n",
    "It's done by establishing two plots. The **bottom paramter** of the 2nd plot should be equal to **the first set of data**. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"509.8868108024889\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 8 artists>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.1,3.1))\n",
    "xvals = range(len(linear_data))\n",
    "plt.bar(xvals, linear_data, width=0.3, color='b')\n",
    "plt.bar(xvals, quadratic_data, width=0.3, color='r', bottom=linear_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A horizontal stacked bar can be drawn using **plt.barh**, _width_ and _bottom_ should be changed to _height_ and _left_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "window.mpl = {};\n",
       "\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('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",
       "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 = $('<div/>');\n",
       "    this._root_extra_style(this.root)\n",
       "    this.root.attr('style', 'display: inline-block');\n",
       "\n",
       "    $(parent_element).append(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 (mpl.ratio != 1) {\n",
       "                fig.send_message(\"set_dpi_ratio\", {'dpi_ratio': mpl.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 = $(\n",
       "        '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
       "        'ui-helper-clearfix\"/>');\n",
       "    var titletext = $(\n",
       "        '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
       "        'text-align: center; padding: 3px;\"/>');\n",
       "    titlebar.append(titletext)\n",
       "    this.root.append(titlebar);\n",
       "    this.header = titletext[0];\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
       "\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = $('<div/>');\n",
       "\n",
       "    canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
       "\n",
       "    function canvas_keyboard_event(event) {\n",
       "        return fig.key_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    canvas_div.keydown('key_press', canvas_keyboard_event);\n",
       "    canvas_div.keyup('key_release', canvas_keyboard_event);\n",
       "    this.canvas_div = canvas_div\n",
       "    this._canvas_extra_style(canvas_div)\n",
       "    this.root.append(canvas_div);\n",
       "\n",
       "    var canvas = $('<canvas/>');\n",
       "    canvas.addClass('mpl-canvas');\n",
       "    canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
       "\n",
       "    this.canvas = canvas[0];\n",
       "    this.context = canvas[0].getContext(\"2d\");\n",
       "\n",
       "    var backingStore = this.context.backingStorePixelRatio ||\n",
       "\tthis.context.webkitBackingStorePixelRatio ||\n",
       "\tthis.context.mozBackingStorePixelRatio ||\n",
       "\tthis.context.msBackingStorePixelRatio ||\n",
       "\tthis.context.oBackingStorePixelRatio ||\n",
       "\tthis.context.backingStorePixelRatio || 1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband = $('<canvas/>');\n",
       "    rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
       "\n",
       "    var pass_mouse_events = true;\n",
       "\n",
       "    canvas_div.resizable({\n",
       "        start: function(event, ui) {\n",
       "            pass_mouse_events = false;\n",
       "        },\n",
       "        resize: function(event, ui) {\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "        stop: function(event, ui) {\n",
       "            pass_mouse_events = true;\n",
       "            fig.request_resize(ui.size.width, ui.size.height);\n",
       "        },\n",
       "    });\n",
       "\n",
       "    function mouse_event_fn(event) {\n",
       "        if (pass_mouse_events)\n",
       "            return fig.mouse_event(event, event['data']);\n",
       "    }\n",
       "\n",
       "    rubberband.mousedown('button_press', mouse_event_fn);\n",
       "    rubberband.mouseup('button_release', mouse_event_fn);\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband.mousemove('motion_notify', mouse_event_fn);\n",
       "\n",
       "    rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
       "    rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
       "\n",
       "    canvas_div.on(\"wheel\", function (event) {\n",
       "        event = event.originalEvent;\n",
       "        event['data'] = 'scroll'\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        mouse_event_fn(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.append(canvas);\n",
       "    canvas_div.append(rubberband);\n",
       "\n",
       "    this.rubberband = rubberband;\n",
       "    this.rubberband_canvas = rubberband[0];\n",
       "    this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
       "    this.rubberband_context.strokeStyle = \"#000000\";\n",
       "\n",
       "    this._resize_canvas = function(width, height) {\n",
       "        // Keep the size of the canvas, canvas container, and rubber band\n",
       "        // canvas in synch.\n",
       "        canvas_div.css('width', width)\n",
       "        canvas_div.css('height', height)\n",
       "\n",
       "        canvas.attr('width', width * mpl.ratio);\n",
       "        canvas.attr('height', height * mpl.ratio);\n",
       "        canvas.attr('style', 'width: ' + width + 'px; height: ' + height + 'px;');\n",
       "\n",
       "        rubberband.attr('width', width);\n",
       "        rubberband.attr('height', height);\n",
       "    }\n",
       "\n",
       "    // Set the figure to an initial 600x600px, this will subsequently be updated\n",
       "    // upon first draw.\n",
       "    this._resize_canvas(600, 600);\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\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 nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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",
       "            // put a spacer in here.\n",
       "            continue;\n",
       "        }\n",
       "        var button = $('<button/>');\n",
       "        button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
       "                        'ui-button-icon-only');\n",
       "        button.attr('role', 'button');\n",
       "        button.attr('aria-disabled', 'false');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "\n",
       "        var icon_img = $('<span/>');\n",
       "        icon_img.addClass('ui-button-icon-primary ui-icon');\n",
       "        icon_img.addClass(image);\n",
       "        icon_img.addClass('ui-corner-all');\n",
       "\n",
       "        var tooltip_span = $('<span/>');\n",
       "        tooltip_span.addClass('ui-button-text');\n",
       "        tooltip_span.html(tooltip);\n",
       "\n",
       "        button.append(icon_img);\n",
       "        button.append(tooltip_span);\n",
       "\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    var fmt_picker_span = $('<span/>');\n",
       "\n",
       "    var fmt_picker = $('<select/>');\n",
       "    fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
       "    fmt_picker_span.append(fmt_picker);\n",
       "    nav_element.append(fmt_picker_span);\n",
       "    this.format_dropdown = fmt_picker[0];\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = $(\n",
       "            '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
       "        fmt_picker.append(option);\n",
       "    }\n",
       "\n",
       "    // Add hover states to the ui-buttons\n",
       "    $( \".ui-button\" ).hover(\n",
       "        function() { $(this).addClass(\"ui-state-hover\");},\n",
       "        function() { $(this).removeClass(\"ui-state-hover\");}\n",
       "    );\n",
       "\n",
       "    var status_bar = $('<span class=\"mpl-message\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\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",
       "\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",
       "\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]);\n",
       "        fig.send_message(\"refresh\", {});\n",
       "    };\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
       "    var x0 = msg['x0'] / mpl.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / mpl.ratio;\n",
       "    var x1 = msg['x1'] / mpl.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / mpl.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, 0, fig.canvas.width / mpl.ratio, fig.canvas.height / mpl.ratio);\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",
       "    {\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.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",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data);\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "        else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\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(\"No handler for the '\" + msg_type + \"' message type: \", msg);\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(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\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",
       "    if (e.target)\n",
       "        targ = e.target;\n",
       "    else if (e.srcElement)\n",
       "        targ = e.srcElement;\n",
       "    if (targ.nodeType == 3) // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "\n",
       "    // jQuery normalizes the pageX and pageY\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    // offset() returns the position of the element relative to the document\n",
       "    var x = e.pageX - $(targ).offset().left;\n",
       "    var y = e.pageY - $(targ).offset().top;\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",
       "    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",
       "    {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {x: x, y: y, button: event.button,\n",
       "                             step: event.step,\n",
       "                             guiEvent: simpleKeys(event)});\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",
       "\n",
       "    // Prevent repeat events\n",
       "    if (name == 'key_press')\n",
       "    {\n",
       "        if (event.which === this._key)\n",
       "            return;\n",
       "        else\n",
       "            this._key = event.which;\n",
       "    }\n",
       "    if (name == 'key_release')\n",
       "        this._key = null;\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which != 17)\n",
       "        value += \"ctrl+\";\n",
       "    if (event.altKey && event.which != 18)\n",
       "        value += \"alt+\";\n",
       "    if (event.shiftKey && event.which != 16)\n",
       "        value += \"shift+\";\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,\n",
       "                             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\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"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\";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 = $(\"#\" + id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm)\n",
       "\n",
       "    function ondownload(figure, format) {\n",
       "        window.open(figure.imageObj.src);\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy,\n",
       "                           ondownload,\n",
       "                           element.get(0));\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.get(0);\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",
       "\n",
       "    var output_index = fig.cell_info[2]\n",
       "    var cell = fig.cell_info[0];\n",
       "\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function(fig, msg) {\n",
       "    var width = fig.canvas.width/mpl.ratio\n",
       "    fig.root.unbind('remove')\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).html('<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/mpl.ratio\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] = '<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 () { fig.push_to_output() }, 1000);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function() {\n",
       "    var fig = this;\n",
       "\n",
       "    var nav_element = $('<div/>');\n",
       "    nav_element.attr('style', 'width: 100%');\n",
       "    this.root.append(nav_element);\n",
       "\n",
       "    // Define a callback function for later on.\n",
       "    function toolbar_event(event) {\n",
       "        return fig.toolbar_button_onclick(event['data']);\n",
       "    }\n",
       "    function toolbar_mouse_event(event) {\n",
       "        return fig.toolbar_button_onmouseover(event['data']);\n",
       "    }\n",
       "\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) { continue; };\n",
       "\n",
       "        var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
       "        button.click(method_name, toolbar_event);\n",
       "        button.mouseover(tooltip, toolbar_mouse_event);\n",
       "        nav_element.append(button);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
       "    nav_element.append(status_bar);\n",
       "    this.message = status_bar[0];\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
       "    var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
       "    button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
       "    button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
       "    buttongrp.append(button);\n",
       "    var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
       "    titlebar.prepend(buttongrp);\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function(el){\n",
       "    var fig = this\n",
       "    el.on(\"remove\", function(){\n",
       "\tfig.close_ws(fig, {});\n",
       "    });\n",
       "}\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function(el){\n",
       "    // this is important to make the div 'focusable\n",
       "    el.attr('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",
       "    }\n",
       "    else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\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",
       "    // 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",
       "\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('matplotlib', mpl.mpl_figure_comm);\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"509.8868108024889\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 8 artists>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure(figsize=(5.1,3.1))\n",
    "xvals = range(len(linear_data))\n",
    "plt.barh(xvals, linear_data, height=0.3, color='b')\n",
    "plt.barh(xvals, quadratic_data, height=0.3, color='r', left=linear_data)"
   ]
  },
  {
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}