test_boneage_gaussian-range.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook\n",
    "import numpy as np\n",
    "np.random.seed(0)\n",
    "import torch\n",
    "torch.manual_seed(0)\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "import torch.optim as optim\n",
    "from torchvision import datasets, transforms, models\n",
    "from torch.utils.data import SubsetRandomSampler\n",
    "import matplotlib\n",
    "from tqdm import tqdm\n",
    "import torch\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "from tqdm import tqdm\n",
    "from torch.utils.data.sampler import SubsetRandomSampler\n",
    "from data_generator_boneage import BoneAgeDataset\n",
    "from models import BreastPathQModel\n",
    "from uce import uceloss\n",
    "from calibration_plots import plot_uncert, plot_frequency, plot_uncert_multi\n",
    "from utils import nll_criterion_gaussian\n",
    "\n",
    "matplotlib.rcParams['font.size'] = 8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "base_model = 'efficientnetb4'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "assert base_model in ['resnet101', 'densenet201', 'efficientnetb4']\n",
    "device = torch.device(\"cuda:0\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([2000])\n",
      "torch.Size([4000])\n"
     ]
    }
   ],
   "source": [
    "batch_size = 16\n",
    "resize_to = (256, 256)\n",
    "\n",
    "data_set = BoneAgeDataset(data_dir='/media/fastdata/laves/rsna-bone-age/', augment=False, resize_to=resize_to)\n",
    "assert len(data_set) > 0\n",
    "\n",
    "calib_indices = torch.load('./data_indices/boneage_valid_indices.pth')\n",
    "test_indices = torch.load('./data_indices/boneage_test_indices.pth')\n",
    "\n",
    "print(calib_indices.shape)\n",
    "print(test_indices.shape)\n",
    "\n",
    "calib_loader = torch.utils.data.DataLoader(data_set, batch_size=batch_size,\n",
    "                                           sampler=SubsetRandomSampler(calib_indices))\n",
    "test_loader = torch.utils.data.DataLoader(data_set, batch_size=batch_size,\n",
    "                                          sampler=SubsetRandomSampler(test_indices))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading previous weights at epoch 499 from\n",
      "/media/fastdata/laves/regression_snapshots/efficientnetb4_gaussian_boneage.pth.tar\n"
     ]
    }
   ],
   "source": [
    "from glob import glob\n",
    "model = BreastPathQModel(base_model, in_channels=1, out_channels=1).to(device)\n",
    "\n",
    "checkpoint_path = glob(f\"/media/fastdata/laves/regression_snapshots/{base_model}_gaussian_boneage.pth.tar\")[0]\n",
    "\n",
    "checkpoint = torch.load(checkpoint_path, map_location=device)\n",
    "model.load_state_dict(checkpoint['state_dict'])\n",
    "print(\"Loading previous weights at epoch \" + str(checkpoint['epoch']) + \" from\\n\" + checkpoint_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 125/125 [03:48<00:00,  1.83s/it]\n"
     ]
    }
   ],
   "source": [
    "model.eval()\n",
    "y_p_calib = []\n",
    "vars_calib = []\n",
    "logvars_calib = []\n",
    "targets_calib = []\n",
    "\n",
    "with torch.no_grad():\n",
    "    for batch_idx, (data, target) in enumerate(tqdm(calib_loader)):\n",
    "        data, target = data.to(device), target.to(device)\n",
    "\n",
    "        y_p, logvar, var_bayesian = model(data, dropout=True, mc_dropout=True, test=True)\n",
    "\n",
    "        y_p_calib.append(y_p.detach())\n",
    "        vars_calib.append(var_bayesian.detach())\n",
    "        logvars_calib.append(logvar.detach())\n",
    "        targets_calib.append(target.detach())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_p_calib = torch.cat(y_p_calib, dim=1).clamp(0, 1).permute(1,0,2)\n",
    "mu_calib = y_p_calib.mean(dim=1)\n",
    "var_calib = torch.cat(vars_calib, dim=0)\n",
    "logvars_calib = torch.cat(logvars_calib, dim=1).permute(1,0,2)\n",
    "logvar_calib = logvars_calib.mean(dim=1)\n",
    "target_calib = torch.cat(targets_calib, dim=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "err_calib = (target_calib-mu_calib).pow(2).mean(dim=1, keepdim=True).sqrt()\n",
    "errvar_calib = (y_p_calib-target_calib.unsqueeze(1).repeat(1,25,1)).pow(2).mean(dim=(1,2)).unsqueeze(-1)\n",
    "\n",
    "uncertainty = 'total'\n",
    "\n",
    "uncert_calib_aleatoric = logvar_calib.exp().mean(dim=1, keepdim=True)\n",
    "uncert_calib_epistemic = var_calib.mean(dim=1, keepdim=True)\n",
    "\n",
    "if uncertainty == 'aleatoric':\n",
    "    uncert_calib = uncert_calib_aleatoric.sqrt().clamp(0, 1)\n",
    "elif uncertainty == 'epistemic':\n",
    "    uncert_calib = uncert_calib_epistemic.sqrt().clamp(0, 1)\n",
    "else:\n",
    "    uncert_calib = (uncert_calib_aleatoric + uncert_calib_epistemic).sqrt().clamp(0, 1)  # total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0034, device='cuda:0')\n",
      "tensor(0.0035, device='cuda:0')\n",
      "tensor(0.0003, device='cuda:0')\n",
      "tensor(0.0132, device='cuda:0')\n",
      "tensor(0.0099, device='cuda:0')\n"
     ]
    }
   ],
   "source": [
    "print((err_calib**2).mean())\n",
    "print(errvar_calib.mean())\n",
    "print((uncert_calib**2).mean())\n",
    "print(uncert_calib_aleatoric.sqrt().mean())\n",
    "print(uncert_calib_epistemic.sqrt().mean())\n",
    "\n",
    "err_calib = errvar_calib.sqrt()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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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YMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYDRlbgAAE+FJREFUYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBi4HTqQAQAAABjkb32PrxAyYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgwYMCAAQMGDBgw8B8ICCUAAdUr1eIAAAAASUVORK5CYII=\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1)\n",
    "ax.plot(uncert_calib.cpu(), err_calib.cpu()[:,0], '.')\n",
    "\n",
    "max_val = max(err_calib.max().item(), uncert_calib.max().item())\n",
    "ax.plot([0, max_val], [0, max_val], '--')\n",
    "ax.set_xlabel('uncert')\n",
    "ax.set_ylabel('err')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(4.0140, device='cuda:0')\n"
     ]
    }
   ],
   "source": [
    "# calculate optimal T\n",
    "S = (err_calib**2 / uncert_calib**2).mean().sqrt()\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Scaler(torch.nn.Module):\n",
    "    def __init__(self, init_S=1.0):\n",
    "        super().__init__()\n",
    "        self.S = torch.nn.Parameter(torch.tensor([init_S]))\n",
    "\n",
    "    def forward(self, x):\n",
    "        return self.S.mul(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3.97940993309021\n"
     ]
    }
   ],
   "source": [
    "# find optimal S\n",
    "scaler = Scaler(init_S=S).to(device)\n",
    "s_opt = torch.optim.LBFGS([scaler.S], lr=3e-2, max_iter=200)\n",
    "\n",
    "def closure():\n",
    "    s_opt.zero_grad()\n",
    "\n",
    "    loss = nll_criterion_gaussian(mu_calib, scaler(uncert_calib).pow(2).log(), target_calib)\n",
    "\n",
    "    loss.backward()\n",
    "    return loss\n",
    "\n",
    "s_opt.step(closure)\n",
    "print(scaler.S.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "class AuxModel(torch.nn.Module):\n",
    "    def __init__(self, channels, hidden=16):\n",
    "        super().__init__()\n",
    "        self.linear1 = torch.nn.Linear(channels, hidden, bias=True)\n",
    "        self.fc = torch.nn.Linear(hidden, channels, bias=True)\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = 2*(x.log())\n",
    "        y = self.linear1(x).relu()\n",
    "        y = self.fc(y)\n",
    "        \n",
    "        if self.training:\n",
    "            return y\n",
    "        else:\n",
    "            return (0.5*y).exp()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-4.733925819396973\n"
     ]
    }
   ],
   "source": [
    "# find optimal aux\n",
    "aux = AuxModel(1).to(device)\n",
    "aux_opt = torch.optim.Adam(aux.parameters(), lr=3e-3, weight_decay=0)\n",
    "lr_scheduler_net = optim.lr_scheduler.ReduceLROnPlateau(aux_opt, patience=100, factor=0.1)\n",
    "\n",
    "aux.train()\n",
    "for i in range(2000):\n",
    "    aux_opt.zero_grad()\n",
    "    loss = nll_criterion_gaussian(mu_calib, aux(uncert_calib), target_calib)\n",
    "    loss.backward()\n",
    "    aux_opt.step()\n",
    "    lr_scheduler_net.step(loss.item())\n",
    "\n",
    "print(loss.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7.468410491943359\n",
      "-4.553595066070557\n",
      "-4.553802967071533\n",
      "-4.73392915725708\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AuxModel(\n",
       "  (linear1): Linear(in_features=1, out_features=16, bias=True)\n",
       "  (fc): Linear(in_features=16, out_features=1, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aux.train()\n",
    "print(nll_criterion_gaussian(mu_calib, uncert_calib.pow(2).log(), target_calib).item())\n",
    "print(nll_criterion_gaussian(mu_calib, (S*uncert_calib).pow(2).log(), target_calib).item())\n",
    "print(nll_criterion_gaussian(mu_calib, scaler(uncert_calib).pow(2).log(), target_calib).item())\n",
    "print(nll_criterion_gaussian(mu_calib, aux(uncert_calib), target_calib).item())\n",
    "aux.eval()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.103552907705307\n",
      "0.28194987773895264\n",
      "0.27335867285728455\n",
      "0.0826391652226448\n"
     ]
    }
   ],
   "source": [
    "print(torch.nn.functional.mse_loss(uncert_calib**2, err_calib**2, reduction='sum').item())\n",
    "print(torch.nn.functional.mse_loss((S*uncert_calib)**2, err_calib**2, reduction='sum').item())\n",
    "print(torch.nn.functional.mse_loss(scaler(uncert_calib)**2, err_calib**2, reduction='sum').item())\n",
    "print(torch.nn.functional.mse_loss(aux(uncert_calib)**2, err_calib**2, reduction='sum').item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.316437566652894\n"
     ]
    }
   ],
   "source": [
    "uce, err_in_bin, avg_sigma_in_bin, freq_in_bin = uceloss(err_calib**2, uncert_calib**2)\n",
    "plot_uncert(err_in_bin.cpu(), avg_sigma_in_bin.cpu())\n",
    "print(uce.item()*100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.19705402664840221\n"
     ]
    }
   ],
   "source": [
    "uce, err_in_bin, avg_sigma_in_bin, freq_in_bin = uceloss(err_calib**2, (S*uncert_calib)**2)\n",
    "plot_uncert(err_in_bin.cpu(), avg_sigma_in_bin.cpu())\n",
    "print(uce.item()*100)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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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     "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_bins = 15\n",
    "uce, err_in_bin, avg_uncert_in_bin, freq_in_bin = uceloss(err_calib**2, scaler(uncert_calib)**2, n_bins=n_bins)\n",
    "plot_uncert(err_in_bin.cpu(), avg_uncert_in_bin.cpu())\n",
    "plt.show()\n",
    "print(uce.item()*100)\n",
    "fig, ax = plot_frequency(scaler(uncert_calib).cpu(), freq_in_bin.cpu(), n_bins=n_bins)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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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       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.03127266536466777\n"
     ]
    }
   ],
   "source": [
    "uce, err_in_bin, avg_uncert_in_bin, freq_in_bin = uceloss(err_calib**2, aux(uncert_calib)**2, n_bins=n_bins)\n",
    "plot_uncert(err_in_bin.cpu(), avg_uncert_in_bin.cpu())\n",
    "plt.show()\n",
    "print(uce.item()*100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 250/250 [07:41<00:00,  1.84s/it]\n",
      "100%|██████████| 250/250 [07:41<00:00,  1.85s/it]\n",
      "100%|██████████| 250/250 [07:43<00:00,  1.85s/it]\n",
      "100%|██████████| 250/250 [07:42<00:00,  1.85s/it]\n",
      "100%|██████████| 250/250 [07:40<00:00,  1.84s/it]\n"
     ]
    }
   ],
   "source": [
    "y_p_test_list = []\n",
    "mu_test_list = []\n",
    "var_test_list = []\n",
    "logvars_test_list = []\n",
    "logvar_test_list = []\n",
    "target_test_list = []\n",
    "\n",
    "for i in range(5):\n",
    "    y_p_test = []\n",
    "    mus_test = []\n",
    "    vars_test = []\n",
    "    logvars_test = []\n",
    "    targets_test = []\n",
    "\n",
    "    with torch.no_grad():\n",
    "        for batch_idx, (data, target) in enumerate(tqdm(test_loader)):\n",
    "            data, target = data.to(device), target.to(device)\n",
    "\n",
    "            y_p, logvar, var_bayesian = model(data, dropout=True, mc_dropout=True, test=True)\n",
    "\n",
    "            y_p_test.append(y_p.detach())\n",
    "            vars_test.append(var_bayesian.detach())\n",
    "            logvars_test.append(logvar.detach())\n",
    "            targets_test.append(target.detach())\n",
    "\n",
    "        y_p_test = torch.cat(y_p_test, dim=1).clamp(0, 1).permute(1,0,2)\n",
    "        mu_test = y_p_test.mean(dim=1)\n",
    "        var_test = torch.cat(vars_test, dim=0)\n",
    "        logvars_test = torch.cat(logvars_test, dim=1).permute(1,0,2)\n",
    "        logvar_test = logvars_test.mean(dim=1)\n",
    "        target_test = torch.cat(targets_test, dim=0)\n",
    "\n",
    "        y_p_test_list.append(y_p_test)\n",
    "        mu_test_list.append(mu_test)\n",
    "        var_test_list.append(var_test)\n",
    "        logvars_test_list.append(logvars_test)\n",
    "        logvar_test_list.append(logvar_test)\n",
    "        target_test_list.append(target_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "err_test = [(target_test-mu_test).pow(2).mean(dim=1, keepdim=True).sqrt() for target_test, mu_test in zip(target_test_list, mu_test_list)]\n",
    "errvar_test = [(y_p_test-target_test.unsqueeze(1).repeat(1,25,1)).pow(2).mean(dim=(1,2)).unsqueeze(-1) for target_test, y_p_test in zip(target_test_list, y_p_test_list)]\n",
    "\n",
    "uncert_aleatoric_test = [logvar_test.exp().mean(dim=1, keepdim=True) for logvar_test in logvar_test_list]\n",
    "uncert_epistemic_test = [var_test.mean(dim=1, keepdim=True) for var_test in var_test_list]\n",
    "\n",
    "if uncertainty == 'aleatoric':\n",
    "    uncert_test = uncert_aleatoric_test.sqrt().clamp(0, 1)\n",
    "elif uncertainty == 'epistemic':\n",
    "    uncert_test = uncert_epistemic_test.sqrt().clamp(0, 1)\n",
    "else:\n",
    "    uncert_test = [(u_a_t + u_e_t).sqrt().clamp(0, 1) for u_a_t, u_e_t in zip(uncert_aleatoric_test, uncert_epistemic_test)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0035, device='cuda:0')\n",
      "tensor(0.0036, device='cuda:0')\n",
      "tensor(0.0003, device='cuda:0')\n",
      "\n",
      "tensor(0.0035, device='cuda:0')\n",
      "tensor(0.0036, device='cuda:0')\n",
      "tensor(0.0003, device='cuda:0')\n",
      "\n",
      "tensor(0.0035, device='cuda:0')\n",
      "tensor(0.0036, device='cuda:0')\n",
      "tensor(0.0003, device='cuda:0')\n",
      "\n",
      "tensor(0.0035, device='cuda:0')\n",
      "tensor(0.0036, device='cuda:0')\n",
      "tensor(0.0003, device='cuda:0')\n",
      "\n",
      "tensor(0.0035, device='cuda:0')\n",
      "tensor(0.0036, device='cuda:0')\n",
      "tensor(0.0003, device='cuda:0')\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(err_test)):\n",
    "    print((err_test[i]**2).mean())\n",
    "    print(errvar_test[i].mean())\n",
    "    print((uncert_test[i]**2).mean())\n",
    "    print()\n",
    "\n",
    "err_test = [errvar.sqrt() for errvar in errvar_test]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.386025428771973\n",
      "-4.6337151527404785\n",
      "-4.6350812911987305\n",
      "-4.752830505371094\n",
      "\n",
      "6.503265380859375\n",
      "-4.624072551727295\n",
      "-4.625314712524414\n",
      "-4.7528581619262695\n",
      "\n",
      "6.369532585144043\n",
      "-4.638226509094238\n",
      "-4.63960599899292\n",
      "-4.755446434020996\n",
      "\n",
      "6.431766033172607\n",
      "-4.635986328125\n",
      "-4.6372971534729\n",
      "-4.7574944496154785\n",
      "\n",
      "6.317329406738281\n",
      "-4.6401543617248535\n",
      "-4.641592979431152\n",
      "-4.743926525115967\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "AuxModel(\n",
       "  (linear1): Linear(in_features=1, out_features=16, bias=True)\n",
       "  (fc): Linear(in_features=16, out_features=1, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aux.train()\n",
    "for i in range(len(mu_test_list)):\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], uncert_test[i].pow(2).log(), target_test_list[i]).item())\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], (S*uncert_test[i]).pow(2).log(), target_test_list[i]).item())\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], scaler(uncert_test[i]).pow(2).log(), target_test_list[i]).item())\n",
    "    print(nll_criterion_gaussian(mu_test_list[i], aux(uncert_test[i]), target_test_list[i]).item())\n",
    "    print()\n",
    "aux.eval()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5724068284034729\n",
      "0.9370615482330322\n",
      "0.9138837456703186\n",
      "0.5300841927528381\n",
      "\n",
      "0.5497976541519165\n",
      "0.853032112121582\n",
      "0.8307116627693176\n",
      "0.5096766352653503\n",
      "\n",
      "0.5304853320121765\n",
      "0.8218558430671692\n",
      "0.7995725870132446\n",
      "0.49355900287628174\n",
      "\n",
      "0.5004642009735107\n",
      "0.8233712911605835\n",
      "0.7986068725585938\n",
      "0.4675256013870239\n",
      "\n",
      "0.5998756289482117\n",
      "0.9041139483451843\n",
      "0.8850042223930359\n",
      "0.5565836429595947\n",
      "\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(mu_test_list)):\n",
    "    print(torch.nn.functional.mse_loss(uncert_test[i]**2, err_test[i]**2, reduction='sum').item())\n",
    "    print(torch.nn.functional.mse_loss((S*uncert_test[i])**2, err_test[i]**2, reduction='sum').item())\n",
    "    print(torch.nn.functional.mse_loss(scaler(uncert_test[i])**2, err_test[i]**2, reduction='sum').item())\n",
    "    print(torch.nn.functional.mse_loss(aux(uncert_test[i])**2, err_test[i]**2, reduction='sum').item())\n",
    "    print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.035532426089048386\n",
      "0.03521161526441574\n",
      "0.03005962260067463\n",
      "0.03207563981413841\n",
      "0.029627501964569092\n",
      "0.29853034019470215 0.0051736244931817055\n"
     ]
    },
    {
     "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 250x225 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f195414ce10>)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if base_model == 'resnet101':\n",
    "    uce_range = [0, 0.0044]\n",
    "elif base_model == 'densenet201':\n",
    "    uce_range = [0, 0.0025]\n",
    "elif base_model == 'efficientnetb4':\n",
    "    uce_range = [0, 0.0015]\n",
    "\n",
    "n_bins = 15\n",
    "uce_uncal_list = []\n",
    "err_uncal_list = []\n",
    "uncert_uncal_list = []\n",
    "for i in range(len(err_test)):\n",
    "    print((uncert_test[i]**2).max().item())\n",
    "    uce_uncal, err_uncal, uncert_uncal, _ = uceloss(err_test[i]**2, uncert_test[i]**2, n_bins=n_bins, range=uce_range)\n",
    "    uce_uncal_list.append(uce_uncal.cpu())\n",
    "    err_uncal_list.append(err_uncal.cpu())\n",
    "    uncert_uncal_list.append(uncert_uncal.cpu())\n",
    "\n",
    "print((torch.stack(uce_uncal_list)*100).mean().item(), (torch.stack(uce_uncal_list)*100).var().sqrt().item())\n",
    "plot_uncert_multi(err_uncal_list, uncert_uncal_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5626809597015381\n",
      "0.5576006770133972\n",
      "0.47601526975631714\n",
      "0.5079402923583984\n",
      "0.46917232871055603\n",
      "0.12205084413290024 0.005309454631060362\n"
     ]
    },
    {
     "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 250x225 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f19507cc748>)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if base_model == 'resnet101':\n",
    "    uce_range = [0, 0.008]\n",
    "elif base_model == 'densenet201':\n",
    "    uce_range = [0, 0.016]\n",
    "elif base_model == 'efficientnetb4':\n",
    "    uce_range = [0, 0.01]\n",
    "\n",
    "uce_s_list = []\n",
    "err_s_list = []\n",
    "uncert_s_list = []\n",
    "for i in range(len(err_test)):\n",
    "    print((scaler(uncert_test[i])**2).max().item())\n",
    "    uce_s, _, _, _ = uceloss(err_test[i]**2, scaler(uncert_test[i])**2, n_bins=n_bins)\n",
    "    uce_s, err_s, uncert_s, _ = uceloss(err_test[i]**2, scaler(uncert_test[i])**2, n_bins=n_bins, range=uce_range)\n",
    "    uce_s_list.append(uce_s.cpu())\n",
    "    err_s_list.append(err_s.cpu())\n",
    "    uncert_s_list.append(uncert_s.cpu())\n",
    "\n",
    "print((torch.stack(uce_s_list)*100).mean().item(), (torch.stack(uce_s_list)*100).var().sqrt().item())\n",
    "plot_uncert_multi(err_s_list, uncert_s_list)\n",
    "\n",
    "#fig, ax = plot_frequency(scaler(uncert_test[0]).cpu(), in_bin.cpu(), n_bins=n_bins)\n",
    "#fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.02369179204106331\n",
      "0.023601720109581947\n",
      "0.022084718570113182\n",
      "0.02269505336880684\n",
      "0.02195083163678646\n",
      "0.034145958721637726 0.006328315008431673\n"
     ]
    },
    {
     "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"250\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 250x225 with 1 Axes>,\n",
       " <matplotlib.axes._subplots.AxesSubplot at 0x7f19506f1710>)"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "if base_model == 'resnet101':\n",
    "    uce_range = [0, 0.005]\n",
    "elif base_model == 'densenet201':\n",
    "    uce_range = [0, 0.007]\n",
    "elif base_model == 'efficientnetb4':\n",
    "    uce_range = [0, 0.005]\n",
    "\n",
    "uce_aux_list = []\n",
    "err_aux_list = []\n",
    "uncert_aux_list = []\n",
    "for i in range(len(err_test)):\n",
    "    print((aux(uncert_test[i])**2).max().item())\n",
    "    uce_aux, err_aux, uncert_aux, _ = uceloss(err_test[i]**2, aux(uncert_test[i])**2, n_bins=n_bins, range=uce_range)\n",
    "    uce_aux_list.append(uce_aux.cpu())\n",
    "    err_aux_list.append(err_aux.cpu())\n",
    "    uncert_aux_list.append(uncert_aux.cpu())\n",
    "\n",
    "print((torch.stack(uce_aux_list)*100).mean().item(), (torch.stack(uce_aux_list)*100).var().sqrt().item())\n",
    "plot_uncert_multi(err_aux_list, uncert_aux_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "sns.set()\n",
    "matplotlib.rcParams['text.usetex'] = True\n",
    "matplotlib.rcParams['font.size'] = 8\n",
    "matplotlib.rcParams['text.latex.preamble'] = [\n",
    "    r'\\usepackage{bm}']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [],
   "source": [
    "def save_log(base_model):\n",
    "    with open(f\"results_boneage_{base_model}.log\", \"w\") as f:\n",
    "        print(\"MSE\", file=f)\n",
    "        print([(e**2).mean().item() for e in err_test], file=f)\n",
    "        print(\"mean\", np.mean([(e**2).mean().item() for e in err_test]), file=f)\n",
    "        print(\"std \", np.std([(e**2).mean().item() for e in err_test]), file=f)\n",
    "        print(\"\", file=f)\n",
    "        \n",
    "        print(\"uncal\", file=f)\n",
    "        print(\"NLL\", file=f)\n",
    "        nll = [nll_criterion_gaussian(mu_test_list[i], uncert_test[i].pow(2).log(), target_test_list[i]).item() for i in range(len(mu_test_list))]\n",
    "        print(nll, file=f)\n",
    "        print(\"mean\", np.mean(nll), file=f)\n",
    "        print(\"std \", np.std(nll), file=f)\n",
    "        print(\"UCE\", file=f)\n",
    "        print([u.item() for u in uce_uncal_list], file=f)\n",
    "        print(\"mean\", (torch.stack(uce_uncal_list)*100).mean().item(), file=f)\n",
    "        print(\"std \", (torch.stack(uce_uncal_list)*100).var().sqrt().item(), file=f)\n",
    "        print(\"\", file=f)\n",
    "        \n",
    "        print(\"aux\", file=f)\n",
    "        print(\"NLL\", file=f)\n",
    "        aux.train()\n",
    "        nll = [nll_criterion_gaussian(mu_test_list[i], aux(uncert_test[i]), target_test_list[i]).item() for i in range(len(mu_test_list))]\n",
    "        aux.eval()\n",
    "        print(nll, file=f)\n",
    "        print(\"mean\", np.mean(nll), file=f)\n",
    "        print(\"std \", np.std(nll), file=f)\n",
    "        print(\"UCE\", file=f)\n",
    "        print([u.item() for u in uce_aux_list], file=f)\n",
    "        print(\"mean\", (torch.stack(uce_aux_list)*100).mean().item(), file=f)\n",
    "        print(\"std \", (torch.stack(uce_aux_list)*100).var().sqrt().item(), file=f)\n",
    "        print(\"\", file=f)\n",
    "        \n",
    "        print(\"s\", file=f)\n",
    "        print(\"NLL\", file=f)\n",
    "        nll = [nll_criterion_gaussian(mu_test_list[i], scaler(uncert_test[i]).pow(2).log(), target_test_list[i]).item() for i in range(len(mu_test_list))]\n",
    "        print(nll, file=f)\n",
    "        print(\"mean\", np.mean(nll), file=f)\n",
    "        print(\"std \", np.std(nll), file=f)\n",
    "        print(\"UCE\", file=f)\n",
    "        print([u.item() for u in uce_s_list], file=f)\n",
    "        print(\"mean\", (torch.stack(uce_s_list)*100).mean().item(), file=f)\n",
    "        print(\"std \", (torch.stack(uce_s_list)*100).var().sqrt().item(), file=f)\n",
    "        print(\"S =\", scaler.S.item(), file=f)\n",
    "        print(\"\", file=f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "if base_model == 'resnet101':\n",
    "    fig, ax = plt.subplots(1, 3, figsize=(6.8, 2.75))\n",
    "\n",
    "    alpha = 0.4\n",
    "    props = dict(boxstyle='round', facecolor='white', alpha=0.75)\n",
    "\n",
    "    err_uncal = torch.stack(err_uncal_list).mean(dim=0).cpu()\n",
    "    err_uncal_var = torch.stack(err_uncal_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_uncal = torch.stack(uncert_uncal_list).mean(dim=0).cpu()\n",
    "    ax[0].plot([0, 0.022], [0, 0.022], 'k--')\n",
    "    ax[0].plot(uncert_uncal, err_uncal, marker='.', label='uncal')\n",
    "    ax[0].fill_between(uncert_uncal, err_uncal-err_uncal_var, err_uncal+err_uncal_var, alpha=alpha)\n",
    "    ax[0].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[0].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[0].set_xlim([-0.002, 0.024])\n",
    "    ax[0].set_ylim([-0.002, 0.024])\n",
    "    ax[0].set_xticks([0, 0.011, 0.022])\n",
    "    ax[0].set_yticks([0, 0.011, 0.022])\n",
    "    ax[0].set_aspect(1)\n",
    "    ax[0].set_title(r'uncalibrated')\n",
    "    textstr0 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_uncal_list)*100).mean().item())\n",
    "    ax[0].text(0.925, 0.075, textstr0, transform=ax[0].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_aux = torch.stack(err_aux_list).mean(dim=0).cpu()\n",
    "    err_aux_var = torch.stack(err_aux_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_aux = torch.stack(uncert_aux_list).mean(dim=0).cpu()\n",
    "    ax[1].plot([0, 0.006], [0, 0.006], 'k--')\n",
    "    ax[1].plot(uncert_aux, err_aux, marker='.', label='uncal')\n",
    "    ax[1].fill_between(uncert_aux, err_aux-err_aux_var, err_aux+err_aux_var, alpha=alpha)\n",
    "    ax[1].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[1].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[1].set_xlim([-0.0005, 0.0065])\n",
    "    ax[1].set_ylim([-0.0005, 0.0065])\n",
    "    ax[1].set_xticks([0, 0.006])\n",
    "    ax[1].set_yticks([0, 0.006])\n",
    "    ax[1].set_aspect(1)\n",
    "    ax[1].set_title(r'aux scaling')\n",
    "    textstr1 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_aux_list)*100).mean().item())\n",
    "    ax[1].text(0.925, 0.075, textstr1, transform=ax[1].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_s = torch.stack(err_s_list).mean(dim=0).cpu()\n",
    "    err_s_var = torch.stack(err_s_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_s = torch.stack(uncert_s_list).mean(dim=0).cpu()\n",
    "    ax[2].plot([0, 0.018], [0, 0.018], 'k--')\n",
    "    ax[2].plot(uncert_s, err_s, marker='.', label='uncal')\n",
    "    ax[2].fill_between(uncert_s, err_s-err_s_var, err_s+err_s_var, alpha=alpha)\n",
    "    ax[2].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[2].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[2].set_xlim([-0.001, 0.019])\n",
    "    ax[2].set_ylim([-0.001, 0.019])\n",
    "    ax[2].set_xticks([0, 0.009, 0.018])\n",
    "    ax[2].set_yticks([0, 0.009, 0.018])\n",
    "    ax[2].set_aspect(1)\n",
    "    ax[2].set_title(r'$ \\sigma $ scaling')\n",
    "    textstr2 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_s_list)*100).mean().item())\n",
    "    ax[2].text(0.925, 0.075, textstr2, transform=ax[2].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    ax[0].annotate(r'BoneAge/ResNet-101', xy=(0, 0.5), xytext=(-ax[0].yaxis.labelpad - 5, 0),\n",
    "                   xycoords=ax[0].yaxis.label, textcoords='offset points',\n",
    "                   size='large', ha='right', va='center', fontsize=10, rotation=90)\n",
    "    fig.tight_layout()\n",
    "    fig.show()\n",
    "\n",
    "    fig.savefig(f\"results_boneage_{base_model}.pdf\", bbox_inches='tight', pad_inches=0.01)\n",
    "    save_log(base_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [],
   "source": [
    "if base_model == 'densenet201':\n",
    "    fig, ax = plt.subplots(1, 3, figsize=(6.8, 2.75))\n",
    "\n",
    "    alpha = 0.4\n",
    "    props = dict(boxstyle='round', facecolor='white', alpha=0.75)\n",
    "\n",
    "    err_uncal = torch.stack(err_uncal_list).mean(dim=0).cpu()\n",
    "    err_uncal_var = torch.stack(err_uncal_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_uncal = torch.stack(uncert_uncal_list).mean(dim=0).cpu()\n",
    "    ax[0].plot([0, 0.018], [0, 0.018], 'k--')\n",
    "    ax[0].plot(uncert_uncal, err_uncal, marker='.', label='uncal')\n",
    "    ax[0].fill_between(uncert_uncal, err_uncal-err_uncal_var, err_uncal+err_uncal_var, alpha=alpha)\n",
    "    ax[0].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[0].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[0].set_xlim([-0.001, 0.019])\n",
    "    ax[0].set_ylim([-0.001, 0.019])\n",
    "    ax[0].set_xticks([0, 0.009, 0.018])\n",
    "    ax[0].set_yticks([0, 0.009, 0.018])\n",
    "    ax[0].set_aspect(1)\n",
    "    ax[0].set_title(r'uncalibrated')\n",
    "    textstr0 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_uncal_list)*100).mean().item())\n",
    "    ax[0].text(0.925, 0.075, textstr0, transform=ax[0].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_aux = torch.stack(err_aux_list).mean(dim=0).cpu()\n",
    "    err_aux_var = torch.stack(err_aux_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_aux = torch.stack(uncert_aux_list).mean(dim=0).cpu()\n",
    "    ax[1].plot([0, 0.010], [0, 0.010], 'k--')\n",
    "    ax[1].plot(uncert_aux, err_aux, marker='.', label='uncal')\n",
    "    ax[1].fill_between(uncert_aux, err_aux-err_aux_var, err_aux+err_aux_var, alpha=alpha)\n",
    "    ax[1].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[1].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[1].set_xlim([-0.001, 0.011])\n",
    "    ax[1].set_ylim([-0.001, 0.011])\n",
    "    ax[1].set_xticks([0, 0.004, 0.010])\n",
    "    ax[1].set_yticks([0, 0.004, 0.010])\n",
    "    ax[1].set_aspect(1)\n",
    "    ax[1].set_title(r'aux scaling')\n",
    "    textstr1 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_aux_list)*100).mean().item())\n",
    "    ax[1].text(0.925, 0.075, textstr1, transform=ax[1].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_s = torch.stack(err_s_list).mean(dim=0).cpu()\n",
    "    err_s_var = torch.stack(err_s_list).var(dim=0).sqrt().cpu()\n",
    "    uncert_s = torch.stack(uncert_s_list).mean(dim=0).cpu()\n",
    "    ax[2].plot([0, 0.016], [0, 0.016], 'k--')\n",
    "    ax[2].plot(uncert_s, err_s, marker='.', label='uncal')\n",
    "    ax[2].fill_between(uncert_s, err_s-err_s_var, err_s+err_s_var, alpha=alpha)\n",
    "    ax[2].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[2].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[2].set_xlim([-0.001, 0.017])\n",
    "    ax[2].set_ylim([-0.001, 0.017])\n",
    "    ax[2].set_xticks([0, 0.008, 0.016])\n",
    "    ax[2].set_yticks([0, 0.008, 0.016])\n",
    "    ax[2].set_aspect(1)\n",
    "    ax[2].set_title(r'$ \\sigma $ scaling')\n",
    "    textstr2 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_s_list)*100).mean().item())\n",
    "    ax[2].text(0.925, 0.075, textstr2, transform=ax[2].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    ax[0].annotate(r'BoneAge/DenseNet-201', xy=(0, 0.5), xytext=(-ax[0].yaxis.labelpad - 5, 0),\n",
    "                   xycoords=ax[0].yaxis.label, textcoords='offset points',\n",
    "                   size='large', ha='right', va='center', fontsize=10, rotation=90)\n",
    "    fig.tight_layout()\n",
    "    fig.show()\n",
    "\n",
    "    fig.savefig(f\"results_boneage_{base_model}.pdf\", bbox_inches='tight', pad_inches=0.01)\n",
    "    save_log(base_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "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, 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 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",
       "        event.shiftKey = false;\n",
       "        // Send a \"J\" for go to next cell\n",
       "        event.which = 74;\n",
       "        event.keyCode = 74;\n",
       "        manager.command_mode();\n",
       "        manager.handle_keydown(event);\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=\"680\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if base_model == 'efficientnetb4':\n",
    "    fig, ax = plt.subplots(1, 3, figsize=(6.8, 2.75))\n",
    "\n",
    "    alpha = 0.4\n",
    "    props = dict(boxstyle='round', facecolor='white', alpha=0.75)\n",
    "\n",
    "    err_uncal = torch.stack(err_uncal_list).mean(dim=0).cpu()\n",
    "    err_uncal_var = torch.stack(err_uncal_list).std(dim=0).cpu()\n",
    "    uncert_uncal = torch.stack(uncert_uncal_list).mean(dim=0).cpu()\n",
    "    ax[0].plot([0, 0.018], [0, 0.018], 'k--')\n",
    "    ax[0].plot(uncert_uncal, err_uncal, marker='.', label='uncal')\n",
    "    ax[0].fill_between(uncert_uncal, err_uncal-err_uncal_var, err_uncal+err_uncal_var, alpha=alpha)\n",
    "    ax[0].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[0].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[0].set_xlim([-0.001, 0.019])\n",
    "    ax[0].set_ylim([-0.001, 0.019])\n",
    "    ax[0].set_xticks([0, 0.009, 0.018])\n",
    "    ax[0].set_yticks([0, 0.009, 0.018])\n",
    "    ax[0].set_aspect(1)\n",
    "    ax[0].set_title(r'uncalibrated')\n",
    "    textstr0 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_uncal_list)*100).mean().item())\n",
    "    ax[0].text(0.925, 0.075, textstr0, transform=ax[0].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_aux = torch.stack(err_aux_list).mean(dim=0).cpu()\n",
    "    err_aux_var = torch.stack(err_aux_list).std(dim=0).cpu()\n",
    "    uncert_aux = torch.stack(uncert_aux_list).mean(dim=0).cpu()\n",
    "    ax[1].plot([0, 0.008], [0, 0.008], 'k--')\n",
    "    ax[1].plot(uncert_aux, err_aux, marker='.', label='uncal')\n",
    "    ax[1].fill_between(uncert_aux, err_aux-err_aux_var, err_aux+err_aux_var, alpha=alpha)\n",
    "    ax[1].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[1].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[1].set_xlim([-0.0005, 0.0085])\n",
    "    ax[1].set_ylim([-0.0005, 0.0085])\n",
    "    ax[1].set_xticks([0, 0.004, 0.008])\n",
    "    ax[1].set_yticks([0, 0.004, 0.008])\n",
    "    ax[1].set_aspect(1)\n",
    "    ax[1].set_title(r'aux scaling')\n",
    "    textstr1 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_aux_list)*100).mean().item())\n",
    "    ax[1].text(0.925, 0.075, textstr1, transform=ax[1].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    err_s = torch.stack(err_s_list).mean(dim=0).cpu()\n",
    "    err_s_var = torch.stack(err_s_list).std(dim=0).cpu()\n",
    "    uncert_s = torch.stack(uncert_s_list).mean(dim=0).cpu()\n",
    "    ax[2].plot([0, 0.01], [0, 0.01], 'k--')\n",
    "    ax[2].plot(uncert_s, err_s, marker='.', label='uncal')\n",
    "    ax[2].fill_between(uncert_s, err_s-err_s_var, err_s+err_s_var, alpha=alpha)\n",
    "    ax[2].set_ylabel(r'observed uncertainty', fontsize=11)\n",
    "    ax[2].set_xlabel(r'expected uncertainty', fontsize=11)\n",
    "    ax[2].set_xlim([-0.001, 0.011])\n",
    "    ax[2].set_ylim([-0.001, 0.011])\n",
    "    ax[2].set_xticks([0, 0.005, 0.01])\n",
    "    ax[2].set_yticks([0, 0.005, 0.01])\n",
    "    ax[2].set_aspect(1)\n",
    "    ax[2].set_title(r'$ \\sigma $ scaling')\n",
    "    textstr2 = r'UCE\\,=\\,{:.2f}'.format((torch.stack(uce_s_list)*100).mean().item())\n",
    "    ax[2].text(0.925, 0.075, textstr2, transform=ax[2].transAxes, fontsize=10,\n",
    "                    verticalalignment='bottom',\n",
    "                    horizontalalignment='right',\n",
    "                    bbox=props\n",
    "                    )\n",
    "\n",
    "    ax[0].annotate(r'BoneAge/EfficientNet-B4', xy=(0, 0.5), xytext=(-ax[0].yaxis.labelpad - 5, 0),\n",
    "                   xycoords=ax[0].yaxis.label, textcoords='offset points',\n",
    "                   size='large', ha='right', va='center', fontsize=10, rotation=90)\n",
    "    fig.tight_layout()\n",
    "    fig.show()\n",
    "\n",
    "    fig.savefig(f\"results_boneage_{base_model}.pdf\", bbox_inches='tight', pad_inches=0.01)\n",
    "    save_log(base_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.save(f\"uce_uncal_boneage_{base_model}\", np.array([i.detach().numpy() for i in uce_uncal_list]))\n",
    "np.save(f\"err_uncal_boneage_{base_model}\", np.array([i.detach().numpy() for i in err_uncal_list]))\n",
    "np.save(f\"uncert_uncal_boneage_{base_model}\", np.array([i.detach().numpy() for i in uncert_uncal_list]))\n",
    "\n",
    "np.save(f\"uce_s_boneage_{base_model}\", np.array([i.detach().numpy() for i in uce_s_list]))\n",
    "np.save(f\"err_s_boneage_{base_model}\", np.array([i.detach().numpy() for i in err_s_list]))\n",
    "np.save(f\"uncert_s_boneage_{base_model}\", np.array([i.detach().numpy() for i in uncert_s_list]))\n",
    "\n",
    "np.save(f\"uce_aux_boneage_{base_model}\", np.array([i.detach().numpy() for i in uce_aux_list]))\n",
    "np.save(f\"err_aux_boneage_{base_model}\", np.array([i.detach().numpy() for i in err_aux_list]))\n",
    "np.save(f\"uncert_aux_boneage_{base_model}\", np.array([i.detach().numpy() for i in uncert_aux_list]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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