00-02-hello-plot.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 대화형 도표와 그래픽 인터페이스"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 도표 백엔드 선택"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 인라인 도표"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.33344831  0.92456144  0.94917272  0.09816052  0.38887588  0.05304356\n",
      "   0.67944831  0.34795174  0.72655752  0.41594353]\n",
      " [ 0.16414754  0.13959313  0.55763982  0.60127073  0.84350628  0.43434862\n",
      "   0.73156235  0.00711986  0.41265711  0.2649614 ]\n",
      " [ 0.88070497  0.79927813  0.45633614  0.4722417   0.1195001   0.66253411\n",
      "   0.56249547  0.5413549   0.07014011  0.30753316]\n",
      " [ 0.02276425  0.95632887  0.33065831  0.52167429  0.75327535  0.27676784\n",
      "   0.80604403  0.3013932   0.36461554  0.79984243]\n",
      " [ 0.13275844  0.63444508  0.79967192  0.77429155  0.41723715  0.83621855\n",
      "   0.95847406  0.18071067  0.70499025  0.92594416]\n",
      " [ 0.52192461  0.2382945   0.66982505  0.57612277  0.27889268  0.10417466\n",
      "   0.66916128  0.92834805  0.08049419  0.24561346]\n",
      " [ 0.93446052  0.16381946  0.36329766  0.92020633  0.23048162  0.24101946\n",
      "   0.33585339  0.50935575  0.97154522  0.7529639 ]\n",
      " [ 0.81117336  0.95964542  0.27026077  0.15315361  0.26251908  0.90175903\n",
      "   0.0168717   0.64642271  0.73456027  0.99982416]\n",
      " [ 0.87787341  0.09818148  0.83628608  0.91409365  0.23346027  0.53420696\n",
      "   0.70189131  0.53546204  0.3647781   0.11118703]\n",
      " [ 0.89485078  0.40693677  0.99678191  0.97578935  0.75447777  0.03422987\n",
      "   0.6428408   0.84734177  0.33466331  0.71520314]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fac299fe4e0>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPgAAAD8CAYAAABaQGkdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fac595486d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "print(np.random.rand(10, 10))\n",
    "plt.imshow(np.random.rand(10, 10), interpolation='none')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f6b8daf2c50>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPgAAAD8CAYAAABaQGkdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQfnpVAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b8dc4c6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%gui qt\n",
    "\n",
    "plt.imshow(np.random.rand(10, 10), interpolation='none')"
   ]
  },
  {
   "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",
       "        this.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, fig.canvas.height);\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 overriden (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": [
       "<img 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\" width=\"432\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "%matplotlib notebook\n",
    "\n",
    "matplotlib.use('nbagg')\n",
    "\n",
    "plt.imshow(np.random.rand(10, 10), interpolation='none')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Matplotlib 기본 사항"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 일반 도표"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6b825eef28>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ClhF9vwDnyzbQKDRfHe2io1JE7XfVxu2+iXJnqYSfew7HKuWRI8mDSxhMq5qV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\nRwMiF+45cuTI0YD4/wHWhT6hVXz4AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b8588a9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "y = np.random.rand(1000)\n",
    "plt.plot(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6b82587f28>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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iiGZVcSvnPUYnZwgGhIYyham7OcJPX+wlnTEl15MAeOTlPi5b11x0WdFs3nZB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b825961d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-10., 10., 1000)\n",
    "y = np.sin(3 * x) * np.exp(-.1 * x **2)\n",
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6b8271c860>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uKWW9YmcV+ZV8nl27teC1084721L2SIzZa8ioiupvnfNZmSWrL4418uCq93gh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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b8254e278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, y, '--^', lw=3, color='#fdbb84', mfc='#2b8cbe', ms=8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f6b824fee10>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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idXhQVqQsF7+qet51qVm3Mw0N/JLuB64BVkk6AtzBYm+eiLgHeAS4CTgE/AL4ZGffSUm3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\n+M3MWsaB38ysZRz4zcxaxoHfzKxl/j9mghsV/EFljQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b825a3eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.rand(100)\n",
    "y = x + np.random.rand(100)\n",
    "plt.scatter(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0a158688467047b8b45bf7ca236c8304"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/J+xYutjJW4ngfIiI9UZ61XqLjHiOThjY1v3oTpGO/uzI1mx3abS7kaO//dph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\nIkWK25AahhQpUqRIcRv+f/lkrOllNnBbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b824d4c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ipywidgets import interact\n",
    "\n",
    "x = np.linspace(-5., 5., 1000)\n",
    "\n",
    "@interact\n",
    "def plot_sin(a=(1, 10)):\n",
    "    plt.plot(x, np.sin(a * x))\n",
    "    plt.ylim(-1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "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",
       "        this.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, fig.canvas.height);\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 overriden (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=\"432\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f6b823aba20>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lines = plt.plot([0, 1], [0, 1], 'b')\n",
    "lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lines[0].set_color('r')\n",
    "plt.draw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### 이미지 처리"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f6b8094feb8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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UpYmngyiK416pDl23pNbCRS0MwAbD3n2EaiR0gbPjo9bD4MkV2iXiYkm6foPu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\nXfD9tz6icyVNFbK6WjOehLz03GFfiNqWKBvgqYj37j7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J69WCbDjgcz/xMh+8+ylOexzM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KogXq+JsxjD1tgcbRKvE6K0QFUN0ejunfdpeT3m0zXDUZs4iYGKJElRlU6apwhh0O67GIbP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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6b82498da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.image as mpimg\n",
    "\n",
    "% matplotlib inline\n",
    "\n",
    "img = mpimg.imread('images/cat-001.jpg')\n",
    "plt.imshow(img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}