Untitled1.ipynb

{
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      "/home/ag7531/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/intake/source/discovery.py:285: UserWarning: Plugin name collision for \"netcdf\" from\n",
      "    /home/ag7531/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/intake_iris/netcdf.py\n",
      "and\n",
      "    /home/ag7531/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/intake_xarray/netcdf.py\n",
      "Keeping plugin from first location.\n",
      "  % (plugin_name, orig_path, new_path))\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using cached version!\n",
      "Using cached version!\n"
     ]
    }
   ],
   "source": [
    "import mlflow\n",
    "from mlflow.tracking import client\n",
    "import xarray as xr\n",
    "import numpy as np\n",
    "import dask.array as da\n",
    "import matplotlib.pyplot as plt\n",
    "from analysis.utils import select_experiment, select_run, plot_dataset, GlobalPlotter, anomalies\n",
    "from data.pangeo_catalog import get_whole_data\n",
    "from data.xrtransforms import SeasonalStdizer, TargetedTransform, ScalingTransform\n",
    "from dask.diagnostics import ProgressBar\n",
    "from models.submodels import transform3\n",
    "\n",
    "import cartopy.crs as ccrs\n",
    "import cmocean\n",
    "\n",
    "cmap = cmocean.cm.balance\n",
    "cmap_balance = cmocean.cm.balance\n",
    "cmap_balance_r=cmocean.cm.balance_r\n",
    "\n",
    "cmap_amp = cmocean.cm.amp\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (4, 4 / 1.618)\n",
    "\n",
    "uv_plotter = GlobalPlotter() \n",
    "uv_plotter.x_ticks = np.arange(-150., 151., 50)\n",
    "uv_plotter.y_ticks = np.arange(-80., 81., 20)\n",
    "\n",
    "\n",
    "%matplotlib notebook\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using cached version!\n",
      "Using cached version!\n"
     ]
    }
   ],
   "source": [
    "CATALOG_URL = 'https://raw.githubusercontent.com/pangeo-data/pangeo-datastore\\\n",
    "/master/intake-catalogs/master.yaml'\n",
    "data = get_whole_data(CATALOG_URL, 0)\n",
    "grid_info = data[1]\n",
    "# mask = grid_info['wet'].coarsen(dict(xt_ocean=4, yt_ocean=4))\n",
    "# mask_ = mask.max()\n",
    "# mask_ = mask_.where(mask_ > 0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6 :  multiregion\n",
      "17 :  meeting22july\n",
      "15 :  datacm21\n",
      "21 :  modelsv1\n",
      "3 :  multiregions\n",
      "19 :  data-global\n",
      "14 :  forcingdatav3\n",
      "2 :  training\n",
      "4 :  default\n",
      "7 :  Unet\n",
      "18 :  forcing-data-global\n",
      "12 :  test\n",
      "9 :  forcingdata1pct\n",
      "5 :  regionsfortraining\n",
      "20 :  test_global\n",
      "8 :  arctan\n",
      "16 :  meeting15july\n",
      "13 :  forcingdatav2\n",
      "Select the id of an experiment: 4\n",
      "                              run_id experiment_id    status  \\\n",
      "0   9fa14fcb81054084b45634770278789b             4   RUNNING   \n",
      "1   08d1c3445ffe4de2b50944cab1220140             4   RUNNING   \n",
      "2   23cac34c4c654189adb5011067725ee1             4   RUNNING   \n",
      "3   4340ea02b2d74f1db37da26dcb04197f             4  FINISHED   \n",
      "4   dfc61b690a3e4831bddd709fb91f42ed             4   RUNNING   \n",
      "5   b730ea7738a743d88d90a469eae72970             4   RUNNING   \n",
      "6   ab4d237496e6450383d74ed2da243c22             4   RUNNING   \n",
      "7   1687a9a7d1f74866a9803897226b0b19             4  FINISHED   \n",
      "8   8b70fb93ea484452913f61b1ddad373f             4   RUNNING   \n",
      "9   b2f3efd050df4016b19ecead1d89f7cc             4  FINISHED   \n",
      "10  faf3ebb169de43bd83b3f5cc80d74009             4  FINISHED   \n",
      "\n",
      "                         start_time params.CO2 params.factor params.submodel  \n",
      "0  2021-01-18 07:34:39.706000+00:00          0             4            None  \n",
      "1  2021-01-18 06:50:11.871000+00:00          0             4            None  \n",
      "2  2021-01-17 06:57:38.764000+00:00          0             4            None  \n",
      "3  2021-01-17 05:54:19.310000+00:00          0             4            None  \n",
      "4  2021-01-17 04:44:59.960000+00:00          0             4            None  \n",
      "5  2021-01-17 04:34:34.173000+00:00          0             4            None  \n",
      "6  2021-01-17 03:23:18.345000+00:00          0             4            None  \n",
      "7  2021-01-16 22:07:01.681000+00:00          0             4            None  \n",
      "8  2021-01-16 22:01:43.112000+00:00          0             4            None  \n",
      "9  2021-01-16 21:58:09.899000+00:00          0             4            None  \n",
      "10 2021-01-16 21:43:39.021000+00:00          0             4            None  \n",
      "Run id?3\n",
      "Data path: /scratch/ag7531/mlruns/19/743777154cb745cf8a4272dcbd3fa189/artifacts/forcing\n"
     ]
    }
   ],
   "source": [
    "test_exp_name = select_experiment()\n",
    "test_exp = mlflow.get_experiment_by_name(test_exp_name)\n",
    "test_exp_id = test_exp.experiment_id\n",
    "run = select_run(experiment_ids=test_exp_id, cols=['status', 'start_time', 'params.CO2', 'params.factor',\n",
    "                                                  'params.submodel'],\n",
    "                merge=[('data-global', 'params.data_run_id', 'run_id'),\n",
    "                      ('modelsv1', 'params.model_run_id', 'run_id')])\n",
    "client_ = client.MlflowClient()\n",
    "data_file_name = client_.download_artifacts(run['params.data_run_id'], 'forcing')\n",
    "print('Data path:', data_file_name)\n",
    "data = xr.open_zarr(data_file_name)\n",
    "data = data.rename({'xu_ocean': 'longitude', 'yu_ocean': 'latitude'})\n",
    "data = data * 1e7\n",
    "pred_file_name = client_.download_artifacts(run.run_id, 'test_output_0')\n",
    "pred = xr.open_zarr(pred_file_name)\n",
    "data = data.sel(time=slice(pred.time[0], pred.time[-1])).sel(latitude=slice(pred.latitude[0], pred.latitude[-1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "lon = slice(None, None, 1)\n",
    "lat= slice(-80, 80, 1)\n",
    "time_slice = slice(None, None, 1)\n",
    "\n",
    "p0 = pred['0'].sel(longitude=lon, latitude=lat).isel(time=time_slice)\n",
    "p1 = pred['1'].sel(longitude=lon, latitude=lat).isel(time=time_slice)\n",
    "p0 = np.exp(p0) / (np.exp(p0) + np.exp(p1))\n",
    "p1 = 1 - p0\n",
    "# Means\n",
    "mu0 = pred['4'].sel(longitude=lon, latitude=lat).isel(time=time_slice)\n",
    "mu1 = pred['8'].sel(longitude=lon, latitude=lat).isel(time=time_slice)\n",
    "true = data['S_x'].sel(longitude=lon, latitude=lat).isel(time=time_slice)\n",
    "# precisions\n",
    "beta0 = pred['6'].sel(longitude=lon, latitude=lat).isel(time=time_slice)\n",
    "beta1 = pred['10'].sel(longitude=lon, latitude=lat).isel(time=time_slice)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def apply_complete_mask(array):\n",
    "    mask = uv_plotter.borders\n",
    "    mask2 = uv_plotter.mask\n",
    "    mask = mask.interp({k: array.coords[k] for k in ['longitude', 'latitude']})\n",
    "    mask2 = mask2.interp({k: array.coords[k] for k in ['longitude', 'latitude']})\n",
    "    array = array.where(np.isnan(mask) & (~np.isnan(mask2)))\n",
    "    array = array.sel(latitude=slice(pred['latitude'][0], pred['latitude'][-1]))\n",
    "    return array"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time series analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
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       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
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       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2ade9e5d7c50>]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lon = -129\n",
    "lat= -55\n",
    "\n",
    "p0_ = p0.sel(longitude=lon, latitude=lat, method='nearest')\n",
    "mu0_ = mu0.sel(longitude=lon, latitude=lat, method='nearest')\n",
    "mu1_ = mu1.sel(longitude=lon, latitude=lat, method='nearest')\n",
    "beta0_ = beta0.sel(longitude=lon, latitude=lat, method='nearest')\n",
    "beta1_ = beta1.sel(longitude=lon, latitude=lat, method='nearest')\n",
    "true_ = true.sel(longitude=lon, latitude=lat, method='nearest')\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(p0_)\n",
    "plt.plot(true_, '-x')\n",
    "plt.plot(mu0_, 'r')\n",
    "plt.plot(mu1_, 'k')\n",
    "plt.plot(mu0_ -1.96 * 1 / beta0_, '--r')\n",
    "plt.plot(mu0_ + 1.96 * 1 / beta0_, '--r')\n",
    "plt.plot(mu1_ - 1.96 * 1 / beta1_, '--k')\n",
    "plt.plot(mu1_ + 1.96 * 1 / beta1_, '--k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "time = 796\n",
    "n_samples = 1000000\n",
    "sel = np.random.rand(n_samples) > float(p0_.isel(time=time))\n",
    "sel = np.arange(n_samples) + sel * n_samples\n",
    "samples0 = np.random.randn(n_samples) / float(beta0_.isel(time=time)) + float(mu0_.isel(time=time))\n",
    "samples1 = np.random.randn(n_samples) / float(beta1_.isel(time=time)) + float(mu1_.isel(time=time))\n",
    "samples = np.concatenate((samples0, samples1))\n",
    "final_samples = samples[sel]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "21.315623418120033\n"
     ]
    }
   ],
   "source": [
    "plt.figure()\n",
    "print(float(true_.isel(time=time)))\n",
    "_ = plt.hist(final_samples, bins=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Global distribution of true and simulated forcing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We assess the goodness of fit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Likelihood map"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pdf(x, p0, mu0, beta0, mu1, beta1):\n",
    "    return p0 * norm.pdf((x - mu0) * beta0) + (1 - p0) * norm.pdf((x - mu1) * beta1)\n",
    "\n",
    "lkh = pdf(true, p0, mu0, beta0, mu1, beta1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ag7531/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/dask/array/numpy_compat.py:40: RuntimeWarning: invalid value encountered in true_divide\n",
      "  x = np.divide(x1, x2, out)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x2adea0d842d0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.imshow(lkh.mean(dim='time'), origin='lower', vmin=0, vmax=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mean likelihood"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[#################                       ] | 42% Completed | 14.4s\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-32-533af3ac1680>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mlat\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mslice\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m40\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m40\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0;32mwith\u001b[0m \u001b[0mProgressBar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m     \u001b[0mmean_lkh\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mapply_complete_mask\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlkh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msel\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlatitude\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlat\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/xarray/core/dataarray.py\u001b[0m in \u001b[0;36mcompute\u001b[0;34m(self, **kwargs)\u001b[0m\n\u001b[1;32m    838\u001b[0m         \"\"\"\n\u001b[1;32m    839\u001b[0m         \u001b[0mnew\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcopy\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdeep\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 840\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mnew\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    841\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    842\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mpersist\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m->\u001b[0m \u001b[0;34m\"DataArray\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/xarray/core/dataarray.py\u001b[0m in \u001b[0;36mload\u001b[0;34m(self, **kwargs)\u001b[0m\n\u001b[1;32m    812\u001b[0m         \u001b[0mdask\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    813\u001b[0m         \"\"\"\n\u001b[0;32m--> 814\u001b[0;31m         \u001b[0mds\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_to_temp_dataset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mload\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    815\u001b[0m         \u001b[0mnew\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_from_temp_dataset\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    816\u001b[0m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_variable\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnew\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_variable\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/xarray/core/dataset.py\u001b[0m in \u001b[0;36mload\u001b[0;34m(self, **kwargs)\u001b[0m\n\u001b[1;32m    656\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    657\u001b[0m             \u001b[0;31m# evaluate all the dask arrays simultaneously\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 658\u001b[0;31m             \u001b[0mevaluated_data\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mda\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcompute\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mlazy_data\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mvalues\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    659\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    660\u001b[0m             \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlazy_data\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mevaluated_data\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/dask/base.py\u001b[0m in \u001b[0;36mcompute\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m    434\u001b[0m     \u001b[0mkeys\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__dask_keys__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mx\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mcollections\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    435\u001b[0m     \u001b[0mpostcomputes\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mx\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__dask_postcompute__\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mx\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mcollections\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 436\u001b[0;31m     \u001b[0mresults\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mschedule\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdsk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkeys\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    437\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mrepack\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m*\u001b[0m\u001b[0ma\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mr\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0ma\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mresults\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpostcomputes\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    438\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/dask/threaded.py\u001b[0m in \u001b[0;36mget\u001b[0;34m(dsk, result, cache, num_workers, pool, **kwargs)\u001b[0m\n\u001b[1;32m     79\u001b[0m         \u001b[0mget_id\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0m_thread_get_id\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     80\u001b[0m         \u001b[0mpack_exception\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mpack_exception\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 81\u001b[0;31m         \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     82\u001b[0m     )\n\u001b[1;32m     83\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/dask/local.py\u001b[0m in \u001b[0;36mget_async\u001b[0;34m(apply_async, num_workers, dsk, result, cache, get_id, rerun_exceptions_locally, pack_exception, raise_exception, callbacks, dumps, loads, **kwargs)\u001b[0m\n\u001b[1;32m    473\u001b[0m             \u001b[0;31m# Main loop, wait on tasks to finish, insert new ones\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    474\u001b[0m             \u001b[0;32mwhile\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"waiting\"\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"ready\"\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m\"running\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 475\u001b[0;31m                 \u001b[0mkey\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mres_info\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mfailed\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mqueue_get\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mqueue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    476\u001b[0m                 \u001b[0;32mif\u001b[0m \u001b[0mfailed\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    477\u001b[0m                     \u001b[0mexc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtb\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mloads\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mres_info\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/dask/local.py\u001b[0m in \u001b[0;36mqueue_get\u001b[0;34m(q)\u001b[0m\n\u001b[1;32m    131\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    132\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mqueue_get\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mq\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 133\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mq\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    134\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    135\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/queue.py\u001b[0m in \u001b[0;36mget\u001b[0;34m(self, block, timeout)\u001b[0m\n\u001b[1;32m    168\u001b[0m             \u001b[0;32melif\u001b[0m \u001b[0mtimeout\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    169\u001b[0m                 \u001b[0;32mwhile\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_qsize\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 170\u001b[0;31m                     \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnot_empty\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwait\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    171\u001b[0m             \u001b[0;32melif\u001b[0m \u001b[0mtimeout\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    172\u001b[0m                 \u001b[0;32mraise\u001b[0m \u001b[0mValueError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"'timeout' must be a non-negative number\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/threading.py\u001b[0m in \u001b[0;36mwait\u001b[0;34m(self, timeout)\u001b[0m\n\u001b[1;32m    294\u001b[0m         \u001b[0;32mtry\u001b[0m\u001b[0;34m:\u001b[0m    \u001b[0;31m# restore state no matter what (e.g., KeyboardInterrupt)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    295\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mtimeout\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 296\u001b[0;31m                 \u001b[0mwaiter\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0macquire\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    297\u001b[0m                 \u001b[0mgotit\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    298\u001b[0m             \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "lat = slice(-40, 40)\n",
    "with ProgressBar():\n",
    "    mean_lkh = apply_complete_mask(lkh.sel(latitude=lat)).mean().compute()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<defs>\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray ()&gt;\n",
       "array(0.24976554)</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-ae962480-8761-42fb-9c56-f4ec3bee5d43' class='xr-array-in' type='checkbox' checked><label for='section-ae962480-8761-42fb-9c56-f4ec3bee5d43' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.2498</span></div><div class='xr-array-data'><pre>array(0.24976554)</pre></div></div></li><li class='xr-section-item'><input id='section-0dc3d1d0-14ef-4b5b-a9f5-5f40d97bbd5f' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0dc3d1d0-14ef-4b5b-a9f5-5f40d97bbd5f' class='xr-section-summary'  title='Expand/collapse section'>Coordinates: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-0af18192-f656-4826-a187-d4bf3fde5e3f' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0af18192-f656-4826-a187-d4bf3fde5e3f' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray ()>\n",
       "array(0.24976554)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
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    }
   ],
   "source": [
    "mean_lkh"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Goodness of fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.stats import norm\n",
    "def my_transform(x ,p0, mu0, beta0, mu1, beta1):\n",
    "    cdf = lambda x: p0 * norm.cdf((x - mu0) * beta0) + (1 - p0) * norm.cdf((x - mu1) * beta1)\n",
    "    return cdf(x)\n",
    "\n",
    "v = my_transform(true, p0, mu0, beta0, mu1, beta1)\n",
    "v = v.sel(latitude=slice(-40, 40))\n",
    "v = apply_complete_mask(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
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       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: '►';\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: '▼';\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: '(';\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: ')';\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: ',';\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt, dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2 {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (time: 1000, latitude: 218, longitude: 900)&gt;\n",
       "dask.array&lt;where, shape=(1000, 218, 900), dtype=float64, chunksize=(32, 218, 900), chunktype=numpy.ndarray&gt;\n",
       "Coordinates:\n",
       "  * latitude   (latitude) float64 -39.8 -39.49 -39.18 ... 39.1 39.41 39.72\n",
       "  * longitude  (longitude) float64 -279.7 -279.3 -278.9 ... 79.05 79.45 79.85\n",
       "  * time       (time) object 0181-01-05 12:00:00 ... 0183-10-01 12:00:00</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>time</span>: 1000</li><li><span class='xr-has-index'>latitude</span>: 218</li><li><span class='xr-has-index'>longitude</span>: 900</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-33a0c139-22d0-4001-b4ca-ea050f2582de' class='xr-array-in' type='checkbox' checked><label for='section-33a0c139-22d0-4001-b4ca-ea050f2582de' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>dask.array&lt;chunksize=(32, 218, 900), meta=np.ndarray&gt;</span></div><div class='xr-array-data'><table>\n",
       "<tr>\n",
       "<td>\n",
       "<table>\n",
       "  <thead>\n",
       "    <tr><td> </td><th> Array </th><th> Chunk </th></tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr><th> Bytes </th><td> 1.57 GB </td> <td> 50.23 MB </td></tr>\n",
       "    <tr><th> Shape </th><td> (1000, 218, 900) </td> <td> (32, 218, 900) </td></tr>\n",
       "    <tr><th> Count </th><td> 583 Tasks </td><td> 32 Chunks </td></tr>\n",
       "    <tr><th> Type </th><td> float64 </td><td> numpy.ndarray </td></tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</td>\n",
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       "</tr>\n",
       "</table></div></div></li><li class='xr-section-item'><input id='section-1c1cef9f-0754-4823-903f-aa4f0a29c8f3' class='xr-section-summary-in' type='checkbox'  checked><label for='section-1c1cef9f-0754-4823-903f-aa4f0a29c8f3' class='xr-section-summary' >Coordinates: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>latitude</span></div><div class='xr-var-dims'>(latitude)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-39.8 -39.49 -39.18 ... 39.41 39.72</div><input id='attrs-4980e933-7b06-4213-a5cb-aaf021ea5fc9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4980e933-7b06-4213-a5cb-aaf021ea5fc9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-af10a946-aa94-47b5-897f-8d71f1e6bd86' class='xr-var-data-in' type='checkbox'><label for='data-af10a946-aa94-47b5-897f-8d71f1e6bd86' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-39.79933 , -39.491328, -39.181956, ...,  39.104399,  39.414113,\n",
       "        39.722459])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>longitude</span></div><div class='xr-var-dims'>(longitude)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-279.7 -279.3 ... 79.45 79.85</div><input id='attrs-a81a834d-5ec9-43e3-85f7-0f8798edbb82' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a81a834d-5ec9-43e3-85f7-0f8798edbb82' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b0fad851-290f-457c-8e42-0586f14c676b' class='xr-var-data-in' type='checkbox'><label for='data-b0fad851-290f-457c-8e42-0586f14c676b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([-279.75, -279.35, -278.95, ...,   79.05,   79.45,   79.85])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time</span></div><div class='xr-var-dims'>(time)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>0181-01-05 12:00:00 ... 0183-10-...</div><input id='attrs-e7976709-0be7-4bbb-aaf8-d3da17b81f95' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e7976709-0be7-4bbb-aaf8-d3da17b81f95' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b00bac51-6fe3-4e91-b7c7-a733e7f85aa8' class='xr-var-data-in' type='checkbox'><label for='data-b00bac51-6fe3-4e91-b7c7-a733e7f85aa8' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([cftime.DatetimeJulian(0181-01-05 12:00:00),\n",
       "       cftime.DatetimeJulian(0181-01-06 12:00:00),\n",
       "       cftime.DatetimeJulian(0181-01-07 12:00:00), ...,\n",
       "       cftime.DatetimeJulian(0183-09-29 12:00:00),\n",
       "       cftime.DatetimeJulian(0183-09-30 12:00:00),\n",
       "       cftime.DatetimeJulian(0183-10-01 12:00:00)], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-fbfe0850-b4a6-4e5b-847a-30a4733832a0' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-fbfe0850-b4a6-4e5b-847a-30a4733832a0' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (time: 1000, latitude: 218, longitude: 900)>\n",
       "dask.array<where, shape=(1000, 218, 900), dtype=float64, chunksize=(32, 218, 900), chunktype=numpy.ndarray>\n",
       "Coordinates:\n",
       "  * latitude   (latitude) float64 -39.8 -39.49 -39.18 ... 39.1 39.41 39.72\n",
       "  * longitude  (longitude) float64 -279.7 -279.3 -278.9 ... 79.05 79.45 79.85\n",
       "  * time       (time) object 0181-01-05 12:00:00 ... 0183-10-01 12:00:00"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "_ = plt.hist(v.values.flatten(), bins=200, density=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 218, 900)"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "quantiles = np.exp(np.linspace(-10, 10, 100)) / (1 + np.exp(np.linspace(-10, 10, 100)))\n",
    "\n",
    "q = np.nanquantile(v, quantiles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2b5f89fc0ed0>]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(quantiles, q, 'x')\n",
    "plt.plot(quantiles, quantiles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3.090232306167813"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "norm.ppf(0.001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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\" width=\"312\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-4.305352916492039, 4.305352916492273, -18.0, 9.217679542913634)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from scipy.stats import norm\n",
    "s = norm.ppf(q)\n",
    "plt.figure()\n",
    "plt.plot(norm.ppf(quantiles),  s, 'x')\n",
    "plt.plot(norm.ppf(quantiles),  norm.ppf(quantiles))\n",
    "plt.axis([None, None, -18, None])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Distribution of simulated vs true forcing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "saved_true = true"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "def apply_complete_mask(array):\n",
    "    mask = uv_plotter.borders\n",
    "    mask2 = uv_plotter.mask\n",
    "    mask = mask.interp({k: array.coords[k] for k in ['longitude', 'latitude']})\n",
    "    mask2 = mask2.interp({k: array.coords[k] for k in ['longitude', 'latitude']})\n",
    "    array = array.where(np.isnan(mask) & (~np.isnan(mask2)))\n",
    "    array = array.sel(latitude=slice(pred['latitude'][0], pred['latitude'][-1]))\n",
    "    return array\n",
    "\n",
    "true = apply_complete_mask(saved_true)\n",
    "\n",
    "epsilon = np.random.randn(*true.shape)\n",
    "epsilon2 = np.random.randn(*true.shape)\n",
    "bernouilli = np.random.rand(*true.shape) > p0\n",
    "simulated = bernouilli * (mu0 + epsilon / beta0) + (1 - bernouilli) * (mu1 + epsilon / beta1)\n",
    "\n",
    "simulated = apply_complete_mask(simulated)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
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     "output_type": "display_data"
    },
    {
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "_ = plt.hist(true.values.ravel(), log=True, bins=np.arange(-20, 21, 0.5), density=True)\n",
    "_ = plt.hist(simulated.values.ravel(), log=True, bins=np.arange(-20, 21, 0.5), density=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.04742587, 0.05024018, 0.05321217, 0.05634954, 0.05966022,\n",
       "       0.0631524 , 0.06683447, 0.07071501, 0.0748028 , 0.07910678,\n",
       "       0.08363602, 0.08839968, 0.093407  , 0.09866727, 0.10418972,\n",
       "       0.10998355, 0.11605783, 0.12242144, 0.12908302, 0.13605089,\n",
       "       0.14333299, 0.15093676, 0.1588691 , 0.16713627, 0.17574374,\n",
       "       0.1846962 , 0.19399737, 0.20364993, 0.21365546, 0.22401429,\n",
       "       0.23472544, 0.24578652, 0.25719365, 0.26894142, 0.28102278,\n",
       "       0.29342902, 0.30614975, 0.31917283, 0.33248443, 0.34606901,\n",
       "       0.35990936, 0.37398667, 0.38828059, 0.40276933, 0.41742979,\n",
       "       0.43223768, 0.44716765, 0.46219351, 0.47728837, 0.49242482,\n",
       "       0.50757518, 0.52271163, 0.53780649, 0.55283235, 0.56776232,\n",
       "       0.58257021, 0.59723067, 0.61171941, 0.62601333, 0.64009064,\n",
       "       0.65393099, 0.66751557, 0.68082717, 0.69385025, 0.70657098,\n",
       "       0.71897722, 0.73105858, 0.74280635, 0.75421348, 0.76527456,\n",
       "       0.77598571, 0.78634454, 0.79635007, 0.80600263, 0.8153038 ,\n",
       "       0.82425626, 0.83286373, 0.8411309 , 0.84906324, 0.85666701,\n",
       "       0.86394911, 0.87091698, 0.87757856, 0.88394217, 0.89001645,\n",
       "       0.89581028, 0.90133273, 0.906593  , 0.91160032, 0.91636398,\n",
       "       0.92089322, 0.9251972 , 0.92928499, 0.93316553, 0.9368476 ,\n",
       "       0.94033978, 0.94365046, 0.94678783, 0.94975982, 0.95257413])"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "quantiles = np.exp(np.linspace(-3, 3, 100)) / (1 + np.exp(np.linspace(-3, 3, 100)))\n",
    "quantiles"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<img src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAHgCAYAAAA10dzkAAAEvklEQVR4nO3BAQ0AAADCoPdPbQ43oAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAD4Mwu4AAehrHaUAAAAASUVORK5CYII=\" width=\"640\">"
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      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2b286072fd10>]"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q_true = np.nanquantile(true.values.ravel(), quantiles)\n",
    "q_simu = np.nanquantile(simulated.values.ravel(), quantiles)\n",
    "plt.figure()\n",
    "plt.plot(q_true, q_simu, 'x')\n",
    "plt.plot(q_true, q_true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
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     "output_type": "display_data"
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\" width=\"640\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2b2861b8bd10>]"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(q_true, q_simu, 'x')\n",
    "plt.plot(q_true, q_true, 'o')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(50, 290, 900)"
      ]
     },
     "execution_count": 227,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "simulated.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Quantiles analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 249,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (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 = document.createElement('div');\n",
       "    titlebar.classList =\n",
       "        'ui-dialog-titlebar ui-widget-header ui-corner-all ui-helper-clearfix';\n",
       "    var titletext = document.createElement('div');\n",
       "    titletext.classList = 'ui-dialog-title';\n",
       "    titletext.setAttribute(\n",
       "        'style',\n",
       "        'width: 100%; text-align: center; padding: 3px;'\n",
       "    );\n",
       "    titlebar.appendChild(titletext);\n",
       "    this.root.appendChild(titlebar);\n",
       "    this.header = titletext;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (_canvas_div) {};\n",
       "\n",
       "mpl.figure.prototype._init_canvas = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var canvas_div = (this.canvas_div = document.createElement('div'));\n",
       "    canvas_div.setAttribute(\n",
       "        'style',\n",
       "        'border: 1px solid #ddd;' +\n",
       "            'box-sizing: content-box;' +\n",
       "            'clear: both;' +\n",
       "            'min-height: 1px;' +\n",
       "            'min-width: 1px;' +\n",
       "            'outline: 0;' +\n",
       "            'overflow: hidden;' +\n",
       "            'position: relative;' +\n",
       "            'resize: both;'\n",
       "    );\n",
       "\n",
       "    function on_keyboard_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.key_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'keydown',\n",
       "        on_keyboard_event_closure('key_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'keyup',\n",
       "        on_keyboard_event_closure('key_release')\n",
       "    );\n",
       "\n",
       "    this._canvas_extra_style(canvas_div);\n",
       "    this.root.appendChild(canvas_div);\n",
       "\n",
       "    var canvas = (this.canvas = document.createElement('canvas'));\n",
       "    canvas.classList.add('mpl-canvas');\n",
       "    canvas.setAttribute('style', 'box-sizing: content-box;');\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    mpl.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box; position: absolute; left: 0; top: 0; z-index: 1;'\n",
       "    );\n",
       "\n",
       "    var resizeObserver = new ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                width = entry.contentBoxSize.inlineSize;\n",
       "                height = entry.contentBoxSize.blockSize;\n",
       "            } else {\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            canvas.setAttribute('width', width * mpl.ratio);\n",
       "            canvas.setAttribute('height', height * mpl.ratio);\n",
       "            canvas.setAttribute(\n",
       "                'style',\n",
       "                'width: ' + width + 'px; height: ' + height + 'px;'\n",
       "            );\n",
       "\n",
       "            rubberband_canvas.setAttribute('width', width);\n",
       "            rubberband_canvas.setAttribute('height', height);\n",
       "\n",
       "            // And update the size in Python. We ignore the initial 0/0 size\n",
       "            // that occurs as the element is placed into the DOM, which should\n",
       "            // otherwise not happen due to the minimum size styling.\n",
       "            if (width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    resizeObserver.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        return function (event) {\n",
       "            return fig.mouse_event(event, name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    rubberband_canvas.addEventListener(\n",
       "        'mouseleave',\n",
       "        on_mouse_event_closure('figure_leave')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener('wheel', function (event) {\n",
       "        if (event.deltaY < 0) {\n",
       "            event.step = 1;\n",
       "        } else {\n",
       "            event.step = -1;\n",
       "        }\n",
       "        on_mouse_event_closure('scroll')(event);\n",
       "    });\n",
       "\n",
       "    canvas_div.appendChild(canvas);\n",
       "    canvas_div.appendChild(rubberband_canvas);\n",
       "\n",
       "    this.rubberband_context = rubberband_canvas.getContext('2d');\n",
       "    this.rubberband_context.strokeStyle = '#000000';\n",
       "\n",
       "    this._resize_canvas = function (width, height, forward) {\n",
       "        if (forward) {\n",
       "            canvas_div.style.width = width + 'px';\n",
       "            canvas_div.style.height = height + 'px';\n",
       "        }\n",
       "    };\n",
       "\n",
       "    // Disable right mouse context menu.\n",
       "    this.rubberband_canvas.addEventListener('contextmenu', function (_e) {\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / 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,\n",
       "        0,\n",
       "        fig.canvas.width / mpl.ratio,\n",
       "        fig.canvas.height / mpl.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    var cursor = msg['cursor'];\n",
       "    switch (cursor) {\n",
       "        case 0:\n",
       "            cursor = 'pointer';\n",
       "            break;\n",
       "        case 1:\n",
       "            cursor = 'default';\n",
       "            break;\n",
       "        case 2:\n",
       "            cursor = 'crosshair';\n",
       "            break;\n",
       "        case 3:\n",
       "            cursor = 'move';\n",
       "            break;\n",
       "    }\n",
       "    fig.rubberband_canvas.style.cursor = cursor;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_message = function (fig, msg) {\n",
       "    fig.message.textContent = msg['message'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_draw = function (fig, _msg) {\n",
       "    // Request the server to send over a new figure.\n",
       "    fig.send_draw_message();\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_image_mode = function (fig, msg) {\n",
       "    fig.image_mode = msg['mode'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_history_buttons = function (fig, msg) {\n",
       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * mpl.ratio;\n",
       "    var y = canvas_pos.y * mpl.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / mpl.ratio;\n",
       "    fig.root.removeEventListener('remove', this._remove_fig_handler);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / mpl.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function () {\n",
       "    this.close_ws(this, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "    el.addEventListener('remove', this._remove_fig_handler);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\" width=\"400\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/ag7531/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/dask/array/numpy_compat.py:40: RuntimeWarning: invalid value encountered in true_divide\n",
      "  x = np.divide(x1, x2, out)\n",
      "/home/ag7531/miniconda3/envs/mlflow-2428cb47d93b4486f90b5f8bb1835e697d4a2328/lib/python3.7/site-packages/ipykernel_launcher.py:6: MatplotlibDeprecationWarning: Passing parameters norm and vmin/vmax simultaneously is deprecated since 3.3 and will become an error two minor releases later. Please pass vmin/vmax directly to the norm when creating it.\n",
      "  \n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x2b3c59d92d90>"
      ]
     },
     "execution_count": 249,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib\n",
    "import cmocean\n",
    "mean_pred = p0 * mu0 + p1 * mu1\n",
    "plt.figure()\n",
    "plt.imshow(np.abs((mean_pred.mean(dim='time') - true.mean(dim='time'))) / true.std(dim='time'), vmin=0.01, vmax=1, norm=matplotlib.colors.LogNorm()\n",
    ", origin='lower', cmap=cmocean.cm.delta)\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}