spectra_visualisation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2278c778",
   "metadata": {},
   "source": [
    "### Settings & imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "52249722",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6af4ae0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import masserstein"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "55f0baff",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "from masserstein import Spectrum, NMRSpectrum\n",
    "from masserstein import estimate_proportions\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import pulp\n",
    "\n",
    "import pickle\n",
    "\n",
    "import seaborn as sns\n",
    "from textwrap import wrap\n",
    "\n",
    "from pathlib import Path\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "import time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "87bb9eea",
   "metadata": {},
   "outputs": [],
   "source": [
    "nr_of_experiment = 6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "37a23002",
   "metadata": {},
   "outputs": [],
   "source": [
    "if nr_of_experiment == 10:\n",
    "    variant = 3"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e7c66ece",
   "metadata": {},
   "source": [
    "### Experiments data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8ac155e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "components_dictionary = {'experiment_1': ['Pinene', 'Benzyl benzoate'],\n",
    "                        'experiment_2': ['Pinene', 'Limonene'],\n",
    "                        'experiment_7': ['Benzyl benzoate', 'm Anisaldehyde'],\n",
    "                        'experiment_3': ['Isopropyl myristate', 'Benzyl benzoate', 'Alpha pinene', 'Limonene'],\n",
    "                        'experiment_6': ['Pinene', 'Benzyl benzoate'],\n",
    "                        'experiment_5': ['Lactate', 'Alanine', 'Creatine', 'Creatinine', 'Choline chloride'],\n",
    "                        'experiment_9': ['Lactate', 'Alanine', 'Creatine', 'Creatinine', 'Choline chloride'],\n",
    "                        'experiment_4': ['Lactate', 'Alanine', 'Creatine', 'Creatinine', 'Choline chloride'],\n",
    "                        'experiment_8': ['Benzyl benzoate', 'm Anisaldehyde'],\n",
    "                         'experiment_10': ['Leucine', 'Isoleucine', 'Valine'],\n",
    "                        'experiment_11': ['Leucine', 'Isoleucine', 'Valine']}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "dbafb3dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "protons_dictionary = {'experiment_1': [16, 12],\n",
    "                        'experiment_2': [16, 16],\n",
    "                        'experiment_7': [12, 8],\n",
    "                        'experiment_3': [34, 12, 16, 16],\n",
    "                        'experiment_6': [16, 12],\n",
    "                        'experiment_5': [4, 4, 5, 5, 13],\n",
    "                        'experiment_9': [4, 4, 5, 5, 13],\n",
    "                        'experiment_4': [4, 4, 5, 5, 13],\n",
    "                        'experiment_8': [12, 8],\n",
    "                        'experiment_10': [10, 10, 8],\n",
    "                        'experiment_11': [10, 10, 8]}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f8dcc39d",
   "metadata": {},
   "outputs": [],
   "source": [
    "exp_10_molar_proportions = [\n",
    "                            [0.3401, 0.3299, 0.3299],\n",
    "                            [0.2525, 0.2475, 0.5],\n",
    "                            [0.2538, 0.4949, 0.2513],\n",
    "                            [0.2075, 0.3942, 0.3983]\n",
    "                            ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "703c5272",
   "metadata": {},
   "outputs": [],
   "source": [
    "if nr_of_experiment == 10:\n",
    "    ground_truth_molar_proportions = {'experiment_1': [0.09088457406472417, 0.9091154259352758],\n",
    "                                        'experiment_2': [0.505, 0.495],\n",
    "                                        'experiment_7': [0.8403875207510383, 0.1596124792489616],\n",
    "                                        'experiment_3': [0.7264578344443725, 0.10578603326645526, 0.081968804608116, 0.08578732768105625],\n",
    "                                        'experiment_6': [0.3865, 0.6135],\n",
    "                                        'experiment_5': [0.3022, 0.2240, 0.1253, 0.2028, 0.1457],\n",
    "                                        'experiment_9': [0.3022, 0.2240, 0.1253, 0.2028, 0.1457],\n",
    "                                        'experiment_4': [0.3022, 0.2240, 0.1253, 0.2028, 0.1457],\n",
    "                                        'experiment_8': [0.3702, 0.6298],\n",
    "                                        'experiment_10': exp_10_molar_proportions[variant],\n",
    "                                        'experiment_11': [0.4855, 0.2427, 0.2718]}\n",
    "else:\n",
    "    ground_truth_molar_proportions = {'experiment_1': [0.09088457406472417, 0.9091154259352758],\n",
    "                                        'experiment_2': [0.505, 0.495],\n",
    "                                        'experiment_7': [0.8403875207510383, 0.1596124792489616],\n",
    "                                        'experiment_3': [0.7264578344443725, 0.10578603326645526, 0.081968804608116, 0.08578732768105625],\n",
    "                                        'experiment_6': [0.3865, 0.6135],\n",
    "                                        'experiment_5': [0.3022, 0.2240, 0.1253, 0.2028, 0.1457],\n",
    "                                        'experiment_9': [0.3022, 0.2240, 0.1253, 0.2028, 0.1457],\n",
    "                                        'experiment_4': [0.3022, 0.2240, 0.1253, 0.2028, 0.1457],\n",
    "                                        'experiment_8': [0.3702, 0.6298],\n",
    "                                        'experiment_10': [],\n",
    "                                        'experiment_11': [0.4855, 0.2427, 0.2718]}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2f07ffaf",
   "metadata": {},
   "outputs": [],
   "source": [
    "experiments_folders = {'experiment_1': 'experiment_1_intensity_difference',\n",
    "                        'experiment_6': 'experiment_6_miniperfumes',\n",
    "                        'experiment_5': 'experiment_5_metabolites',\n",
    "                         'experiment_7': 'experiment_7_overlapping_and_intensity_difference',\n",
    "                         'experiment_9': 'experiment_9_and_4_shim',\n",
    "                       'experiment_4': 'experiment_9_and_4_shim',\n",
    "                        'experiment_8': 'experiment_8_different_solvents',\n",
    "                        'experiment_3': 'experiment_3_perfumes_and_absent_components',\n",
    "                         'experiment_2': 'experiment_2_overlapping',\n",
    "                       'experiment_10': 'experiment_10_bcaa',\n",
    "                        'experiment_11': 'experiment_11_real_food_product'}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e84eddc3",
   "metadata": {},
   "source": [
    "### Loading the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a16bd1b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "if (nr_of_experiment != 9 and nr_of_experiment != 4 and nr_of_experiment != 10):\n",
    "    filename = experiments_folders['experiment_' + str(nr_of_experiment)] + '/preprocessed_mix.csv'\n",
    "    mix = np.loadtxt(filename, delimiter=',')\n",
    "elif nr_of_experiment == 10:\n",
    "    filename = experiments_folders['experiment_' + str(nr_of_experiment)] + '/preprocessed_mix_variant_'+str(variant+1)+'.csv'\n",
    "    mix = np.loadtxt(filename, delimiter=',')\n",
    "else:\n",
    "    filename = experiments_folders['experiment_' + str(nr_of_experiment)] + '/preprocessed_exp'+str(nr_of_experiment)+'_mix.csv'\n",
    "    mix = np.loadtxt(filename, delimiter=',')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "67c8aeb3",
   "metadata": {},
   "outputs": [],
   "source": [
    "how_many_components = len(components_dictionary['experiment_'+str(nr_of_experiment)])\n",
    "names = ['comp' + str(i) for i in range(how_many_components)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4d402de1",
   "metadata": {},
   "outputs": [],
   "source": [
    "spectra = []\n",
    "for i in range(how_many_components):\n",
    "    if (nr_of_experiment != 9 and nr_of_experiment != 4 and nr_of_experiment != 10):\n",
    "        filename = experiments_folders['experiment_' + str(nr_of_experiment)] + \\\n",
    "                    '/preprocessed_comp' + str(i) + '.csv'\n",
    "        spectra.append(np.loadtxt(filename, delimiter=','))\n",
    "    elif nr_of_experiment == 10:\n",
    "        filename = experiments_folders['experiment_' + str(nr_of_experiment)] + '/preprocessed_variant_'+str(variant+1)+'_comp'+str(i)+'.csv'\n",
    "        spectra.append(np.loadtxt(filename, delimiter=','))\n",
    "    else:\n",
    "        filename = experiments_folders['experiment_' + str(nr_of_experiment)] + \\\n",
    "                    '/preprocessed_exp'+str(nr_of_experiment)+ '_comp'+ str(i) + '.csv'\n",
    "        spectra.append(np.loadtxt(filename, delimiter=','))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f68d15b6",
   "metadata": {},
   "outputs": [],
   "source": [
    "spectra2 = []\n",
    "names = []\n",
    "for i in range(len(spectra)):\n",
    "    spectra2.append(NMRSpectrum(confs=list(zip(spectra[i][:,0], spectra[i][:,1])), \n",
    "                                protons=protons_dictionary['experiment_'+str(nr_of_experiment)][i]))\n",
    "    names.append('comp'+str(i))\n",
    "\n",
    "spectra = spectra2\n",
    "del(spectra2)\n",
    "mix = NMRSpectrum(confs=list(zip(mix[:,0], mix[:,1])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "066513a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, name in enumerate(names):\n",
    "    globals()[name] = spectra[i]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab9cc65b",
   "metadata": {},
   "source": [
    "### Estimation with default kappas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "fa502e5c",
   "metadata": {},
   "outputs": [],
   "source": [
    "default_MTD = 0.25\n",
    "default_MTD_th = 0.22"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b555024a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Set parameter Username\n",
      "\n",
      "--------------------------------------------\n",
      "Warning: your license will expire in 3 days\n",
      "--------------------------------------------\n",
      "\n",
      "Academic license - for non-commercial use only - expires 2023-11-10\n",
      "Removed components' spectra due to no matching peaks in mixture's spectrum: []\n",
      "Envelope bounds: [(0.457009, 9.01304, 0), (0.457009, 9.01304, 1)]\n",
      "Number of chunks: 1\n",
      "ChunkIDs: [0, 0]\n",
      "Chunk bounds: [(0.207009, 9.26304)]\n",
      "Ion currents in chunks: [0.9999999999999998]\n",
      "Deconvolving chunk 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/basia/.local/lib/python3.10/site-packages/pulp/pulp.py:1352: UserWarning: Spaces are not permitted in the name. Converted to '_'\n",
      "  warnings.warn(\"Spaces are not permitted in the name. Converted to '_'\")\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chunk %i deconvolution status: Optimal\n",
      "Signal proportion in mixture's spectrum: 0.997286032762\n",
      "Noise proportion in mixture's spectrum: 0.002713967238\n",
      "Total explanation: 1.0\n",
      "Noise proportion in combination of components' spectra: 0.009471922476\n"
     ]
    }
   ],
   "source": [
    "start_vis = time.time()\n",
    "estimation_vis = estimate_proportions(mix, spectra,\n",
    "                                        MTD=default_MTD, \n",
    "                                        MTD_th=default_MTD_th,\n",
    "                                        verbose=True, solver=pulp.GUROBI(msg=False), \n",
    "                                        what_to_compare='area')\n",
    "stop_vis = time.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "ffacb9e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.009471922475999999"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimation_vis['proportion_of_noise_in_components']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "33b21a28",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0027139672380002144"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 - sum(estimation_vis['proportions'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "405bd6cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimation took 52.73142695426941 seconds.\n"
     ]
    }
   ],
   "source": [
    "print('Estimation took '+ str(stop_vis-start_vis) + ' seconds.')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a841e0f",
   "metadata": {},
   "source": [
    "### Components without scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "74a741ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "xlims_lower = [5.05, 0.5, 4.4, 3.55, 3.55, 1.55, 7.2, 9.1, 3.55, 0.1, 0.1]\n",
    "xlims_upper = [5.55, 2, 7.8, 4.05, 4.05, 2.4, 7.5, 10.1, 4.05, 4.3, 4.3]\n",
    "ylims_lower = [-0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005]\n",
    "ylims_upper = [0.0012, 0.0025, 0.00016, 0.0016, 0.0011, 0.0016, 0.0026, 0.0014, 0.0016, 0.0019, 0.0019]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "f516a37e",
   "metadata": {},
   "outputs": [],
   "source": [
    "ppm = np.array(mix.confs)[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "101a7759",
   "metadata": {},
   "outputs": [
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       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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 (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "                img\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",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    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.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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 (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "                img\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",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    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.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['blue', 'orange', 'green', 'red', 'pink']\n",
    "\n",
    "for i, spectrum in enumerate(spectra):\n",
    "    fig, ax = plt.subplots()\n",
    "    #fig.set_size_inches(10, 7, forward=True)\n",
    "    fig.set_size_inches(9, 4, forward=True)\n",
    "\n",
    "    ax.set_xlim(xlims_lower[nr_of_experiment-1], xlims_upper[nr_of_experiment-1])\n",
    "    #ax.set_ylim(ylims_lower[nr_of_experiment-1], ylims_upper[nr_of_experiment-1])\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['bottom'].set_visible(False)\n",
    "    ax.spines['left'].set_visible(False)\n",
    "\n",
    "\n",
    "    plt.xlabel(chr(0x00b9)+'H, ppm', fontsize=15, labelpad=5)\n",
    "    intensity = np.array(spectrum.confs)[:,1]\n",
    "    ax.plot(ppm, intensity, color=colors[i],\n",
    "           label=components_dictionary['experiment_'+str(nr_of_experiment)][i])\n",
    "    ax.fill_between(ppm, 0, intensity, color=colors[i], alpha=1.0)\n",
    "    ax.invert_xaxis()\n",
    "\n",
    "    ax.legend(prop={'size': 12}, loc='upper left')\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "#     if nr_of_experiment != 10:\n",
    "#         plt.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/component'+str(i)+'.png', dpi=300)\n",
    "#         plt.clf()\n",
    "#     else:\n",
    "#         plt.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/component'+str(i)+'_variant_'+str(variant+1)+'.png', dpi=300)\n",
    "#         plt.clf()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cee5a55b",
   "metadata": {},
   "source": [
    "### Mixture vs linear combination of components (noise removed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "b35a6293",
   "metadata": {},
   "outputs": [],
   "source": [
    "ignore_negative = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "5c4477be",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_nonnegative(ints):\n",
    "    res_ints = ints\n",
    "    for col_nr in range(ints.shape[1]):\n",
    "        neg = ints[:,col_nr]<0\n",
    "        res_ints[:,col_nr][neg]=0\n",
    "    return(res_ints)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7b3e6bac",
   "metadata": {},
   "source": [
    "#### Removing noise from mix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "d938786b",
   "metadata": {},
   "outputs": [],
   "source": [
    "ppm = np.array(mix.confs)[:,0]\n",
    "mix_ints = np.array(mix.confs)[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "e49f6542",
   "metadata": {},
   "outputs": [],
   "source": [
    "mix_without_noise = NMRSpectrum(confs = list(zip(ppm, mix_ints - np.array(estimation_vis['noise']))))\n",
    "mix_without_noise = np.array(mix_without_noise.confs)[:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "41218d82",
   "metadata": {},
   "outputs": [],
   "source": [
    "if ignore_negative:\n",
    "    mix_without_noise = make_nonnegative(mix_without_noise.reshape(-1,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "58ba1cea",
   "metadata": {},
   "outputs": [],
   "source": [
    "mix_without_noise = mix_without_noise/sum(mix_without_noise)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0fdd347c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Is there a lot of negative signal in mixture (intensity below -0.0001)?\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "thr = -1e-4\n",
    "print('Is there a lot of negative signal in mixture (intensity below '+str(thr)+')?')\n",
    "print(sum(mix_without_noise[mix_without_noise<thr]))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a062a05d",
   "metadata": {},
   "source": [
    "#### Removing noise from components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "bff9eece",
   "metadata": {},
   "outputs": [],
   "source": [
    "components_ints = []\n",
    "for spectrum in spectra:\n",
    "    components_ints.append(np.array(spectrum.confs)[:,1])#.reshape(-1,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "fe65533e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Is there a lot of negative signal in mixture (intensity below -0.0001)?\n",
      "Component 0:\n",
      "0\n",
      "Is there a lot of negative signal in mixture (intensity below -0.0001)?\n",
      "Component 1:\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "thr = -1e-4\n",
    "for i, arr in enumerate(components_ints):\n",
    "    print('Is there a lot of negative signal in mixture (intensity below '+str(thr)+')?')\n",
    "    print('Component '+str(i)+':')\n",
    "    print(sum(arr[arr<thr]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "86e0b53a",
   "metadata": {},
   "outputs": [],
   "source": [
    "p = estimation_vis['proportions']\n",
    "p = np.array(p).reshape(len(p),1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ec7c6d91",
   "metadata": {},
   "outputs": [],
   "source": [
    "names_components_up_to = ['sum_up_to_'+str(i+1) for i in range(len(spectra))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "cee5adc5",
   "metadata": {},
   "outputs": [],
   "source": [
    "components = [comp.reshape(-1,1) for comp in components_ints]\n",
    "components_no_scaling = np.concatenate(components, axis=1)\n",
    "components_scaled = components_no_scaling*p[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "06ef63df",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_7161/428760648.py:1: RuntimeWarning: invalid value encountered in divide\n",
      "  proportions_point_by_point = (components_scaled/np.sum(components_scaled, axis=1).reshape(-1,1))\n"
     ]
    }
   ],
   "source": [
    "proportions_point_by_point = (components_scaled/np.sum(components_scaled, axis=1).reshape(-1,1))\n",
    "proportions_point_by_point = np.nan_to_num(proportions_point_by_point)\n",
    "noise_in_ref = np.array(estimation_vis['noise_in_components']).reshape(-1,1)\n",
    "noise_split_for_components = proportions_point_by_point*noise_in_ref"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "d06e7972",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(np.round(components_scaled-noise_split_for_components, decimals=5)>=0).all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "c3a37fa7",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = components_scaled - noise_split_for_components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c7c5a100",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(np.sum(X[:,:1], axis=1)==X[:,0]).all()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "24612df2",
   "metadata": {},
   "outputs": [],
   "source": [
    "if ignore_negative:\n",
    "    X = make_nonnegative(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "4116e7a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, name in enumerate(names_components_up_to):\n",
    "    #not_normalized = np.sum(X[:,:(i+1)], axis=1)\n",
    "    \n",
    "    globals()[name] = np.sum(X[:,:(i+1)], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "60e4c134",
   "metadata": {},
   "outputs": [],
   "source": [
    "xlims_lower = [5.05, 0.5, 4.4, 3.55, 3.55, 1.55, 7.2, 9.1, 3.55, 0.1, 0.1]\n",
    "xlims_upper = [5.55, 2, 7.8, 4.05, 4.05, 2.4, 7.5, 10.1, 4.05, 4.3, 4.3]\n",
    "ylims_lower = [-0.00005, -0.00005, -0.000025, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005, -0.00005]\n",
    "ylims_upper = [0.0055, 0.0035, 0.00016, 0.0016, 0.0011, 0.0016, 0.003, 0.0014, 0.0016, 0.0019, 0.0019]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ef36c70",
   "metadata": {},
   "source": [
    "#### Components added in estimated proportions (noise removed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "b4281800",
   "metadata": {},
   "outputs": [
    {
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       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "                img\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",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    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.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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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      "text/plain": [
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['blue', 'orange', 'green', 'red', 'pink']\n",
    "fig, ax = plt.subplots()\n",
    "#fig.set_size_inches(10, 7, forward=True)\n",
    "fig.set_size_inches(9, 4, forward=True)\n",
    "\n",
    "ax.set_xlim(xlims_lower[nr_of_experiment-1], xlims_upper[nr_of_experiment-1])\n",
    "ax.set_ylim(ylims_lower[nr_of_experiment-1], ylims_upper[nr_of_experiment-1])\n",
    "ax.get_yaxis().set_visible(False)\n",
    "\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax.spines['left'].set_visible(False)\n",
    "\n",
    "plt.xlabel(chr(0x00b9)+'H, ppm', fontsize=15, labelpad=5)\n",
    "#plt.ylabel('Relative intensity', fontsize=15, labelpad=10)\n",
    "\n",
    "for i, name in enumerate(names_components_up_to):\n",
    "    ax.plot(ppm, globals()[name], alpha=1.0, color = colors[i], \n",
    "            label=components_dictionary['experiment_'+str(nr_of_experiment)][i])\n",
    "    if i==0:\n",
    "        ax.fill_between(ppm, 0, globals()[name], color=colors[0], alpha=1.0)\n",
    "    else:\n",
    "        predecessor = name[:-1]+str(i)\n",
    "        ax.fill_between(ppm, globals()[predecessor] , globals()[name], color=colors[i], alpha=1.0)\n",
    "\n",
    "ax.invert_xaxis()\n",
    "ax.legend(prop={'size': 12}, loc='upper left')\n",
    "plt.tight_layout()\n",
    "# if nr_of_experiment != 10:\n",
    "#     plt.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/all_components.png', dpi=300)\n",
    "#     plt.clf()\n",
    "# else:\n",
    "#     plt.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/all_components_variant_'+str(variant+1)+'.png', dpi=300)\n",
    "#     plt.clf()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f111b327",
   "metadata": {},
   "source": [
    "#### Mix without noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "fa519d55",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "/* 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",
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       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
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       "    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",
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       "    this.waiting = false;\n",
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       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
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       "                device_pixel_ratio: fig.ratio,\n",
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       "            fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
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       "        fig.context.drawImage(fig.imageObj, 0, 0);\n",
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       "        fig.ws.close();\n",
       "    };\n",
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       "    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",
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       "    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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
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       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
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       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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 (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
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       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "                img\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",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    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.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['blue', 'orange', 'green', 'red', 'pink']\n",
    "fig, ax = plt.subplots()\n",
    "#fig.set_size_inches(10, 7, forward=True)\n",
    "fig.set_size_inches(9, 4, forward=True)\n",
    "\n",
    "ax.set_xlim(xlims_lower[nr_of_experiment-1], xlims_upper[nr_of_experiment-1])\n",
    "ax.set_ylim(ylims_lower[nr_of_experiment-1], ylims_upper[nr_of_experiment-1])\n",
    "ax.get_yaxis().set_visible(False)\n",
    "\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax.spines['left'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.xlabel(chr(0x00b9)+'H, ppm', fontsize=15, labelpad=5)\n",
    "#plt.ylabel('Relative intensity', fontsize=15, labelpad=10)\n",
    "\n",
    "ax.plot(ppm, mix_without_noise, color='black', alpha=1.0, label='Mixture', linewidth=0.5)\n",
    "ax.invert_xaxis()\n",
    "\n",
    "ax.legend(prop={'size': 12}, loc='upper left')\n",
    "\n",
    "fig.tight_layout()\n",
    "# if nr_of_experiment != 10:\n",
    "#     fig.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/mixture.png', dpi=300)\n",
    "# else:\n",
    "#     fig.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/mixture_variant_'+str(variant+1)+'.png', dpi=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ae8a289",
   "metadata": {},
   "source": [
    "#### Components added in estimated proportions (noise removed) + mix without noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "29bc3e2c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "/* Put everything inside the global mpl namespace */\n",
       "/* global mpl */\n",
       "window.mpl = {};\n",
       "\n",
       "mpl.get_websocket_type = function () {\n",
       "    if (typeof WebSocket !== 'undefined') {\n",
       "        return WebSocket;\n",
       "    } else if (typeof MozWebSocket !== 'undefined') {\n",
       "        return MozWebSocket;\n",
       "    } else {\n",
       "        alert(\n",
       "            'Your browser does not have WebSocket support. ' +\n",
       "                'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
       "                'Firefox 4 and 5 are also supported but you ' +\n",
       "                'have to enable WebSockets in about:config.'\n",
       "        );\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure = function (figure_id, websocket, ondownload, parent_element) {\n",
       "    this.id = figure_id;\n",
       "\n",
       "    this.ws = websocket;\n",
       "\n",
       "    this.supports_binary = this.ws.binaryType !== undefined;\n",
       "\n",
       "    if (!this.supports_binary) {\n",
       "        var warnings = document.getElementById('mpl-warnings');\n",
       "        if (warnings) {\n",
       "            warnings.style.display = 'block';\n",
       "            warnings.textContent =\n",
       "                'This browser does not support binary websocket messages. ' +\n",
       "                'Performance may be slow.';\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.imageObj = new Image();\n",
       "\n",
       "    this.context = undefined;\n",
       "    this.message = undefined;\n",
       "    this.canvas = undefined;\n",
       "    this.rubberband_canvas = undefined;\n",
       "    this.rubberband_context = undefined;\n",
       "    this.format_dropdown = undefined;\n",
       "\n",
       "    this.image_mode = 'full';\n",
       "\n",
       "    this.root = document.createElement('div');\n",
       "    this.root.setAttribute('style', 'display: inline-block');\n",
       "    this._root_extra_style(this.root);\n",
       "\n",
       "    parent_element.appendChild(this.root);\n",
       "\n",
       "    this._init_header(this);\n",
       "    this._init_canvas(this);\n",
       "    this._init_toolbar(this);\n",
       "\n",
       "    var fig = this;\n",
       "\n",
       "    this.waiting = false;\n",
       "\n",
       "    this.ws.onopen = function () {\n",
       "        fig.send_message('supports_binary', { value: fig.supports_binary });\n",
       "        fig.send_message('send_image_mode', {});\n",
       "        if (fig.ratio !== 1) {\n",
       "            fig.send_message('set_device_pixel_ratio', {\n",
       "                device_pixel_ratio: fig.ratio,\n",
       "            });\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('tabindex', '0');\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",
       "            'z-index: 2;'\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(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: relative;' +\n",
       "            'z-index: 0;'\n",
       "    );\n",
       "\n",
       "    this.context = canvas.getContext('2d');\n",
       "\n",
       "    var backingStore =\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        this.context.webkitBackingStorePixelRatio ||\n",
       "        this.context.mozBackingStorePixelRatio ||\n",
       "        this.context.msBackingStorePixelRatio ||\n",
       "        this.context.oBackingStorePixelRatio ||\n",
       "        this.context.backingStorePixelRatio ||\n",
       "        1;\n",
       "\n",
       "    this.ratio = (window.devicePixelRatio || 1) / backingStore;\n",
       "\n",
       "    var rubberband_canvas = (this.rubberband_canvas = document.createElement(\n",
       "        'canvas'\n",
       "    ));\n",
       "    rubberband_canvas.setAttribute(\n",
       "        'style',\n",
       "        'box-sizing: content-box;' +\n",
       "            'left: 0;' +\n",
       "            'pointer-events: none;' +\n",
       "            'position: absolute;' +\n",
       "            'top: 0;' +\n",
       "            'z-index: 1;'\n",
       "    );\n",
       "\n",
       "    // Apply a ponyfill if ResizeObserver is not implemented by browser.\n",
       "    if (this.ResizeObserver === undefined) {\n",
       "        if (window.ResizeObserver !== undefined) {\n",
       "            this.ResizeObserver = window.ResizeObserver;\n",
       "        } else {\n",
       "            var obs = _JSXTOOLS_RESIZE_OBSERVER({});\n",
       "            this.ResizeObserver = obs.ResizeObserver;\n",
       "        }\n",
       "    }\n",
       "\n",
       "    this.resizeObserverInstance = new this.ResizeObserver(function (entries) {\n",
       "        var nentries = entries.length;\n",
       "        for (var i = 0; i < nentries; i++) {\n",
       "            var entry = entries[i];\n",
       "            var width, height;\n",
       "            if (entry.contentBoxSize) {\n",
       "                if (entry.contentBoxSize instanceof Array) {\n",
       "                    // Chrome 84 implements new version of spec.\n",
       "                    width = entry.contentBoxSize[0].inlineSize;\n",
       "                    height = entry.contentBoxSize[0].blockSize;\n",
       "                } else {\n",
       "                    // Firefox implements old version of spec.\n",
       "                    width = entry.contentBoxSize.inlineSize;\n",
       "                    height = entry.contentBoxSize.blockSize;\n",
       "                }\n",
       "            } else {\n",
       "                // Chrome <84 implements even older version of spec.\n",
       "                width = entry.contentRect.width;\n",
       "                height = entry.contentRect.height;\n",
       "            }\n",
       "\n",
       "            // Keep the size of the canvas and rubber band canvas in sync with\n",
       "            // the canvas container.\n",
       "            if (entry.devicePixelContentBoxSize) {\n",
       "                // Chrome 84 implements new version of spec.\n",
       "                canvas.setAttribute(\n",
       "                    'width',\n",
       "                    entry.devicePixelContentBoxSize[0].inlineSize\n",
       "                );\n",
       "                canvas.setAttribute(\n",
       "                    'height',\n",
       "                    entry.devicePixelContentBoxSize[0].blockSize\n",
       "                );\n",
       "            } else {\n",
       "                canvas.setAttribute('width', width * fig.ratio);\n",
       "                canvas.setAttribute('height', height * fig.ratio);\n",
       "            }\n",
       "            /* This rescales the canvas back to display pixels, so that it\n",
       "             * appears correct on HiDPI screens. */\n",
       "            canvas.style.width = width + 'px';\n",
       "            canvas.style.height = height + 'px';\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 (fig.ws.readyState == 1 && width != 0 && height != 0) {\n",
       "                fig.request_resize(width, height);\n",
       "            }\n",
       "        }\n",
       "    });\n",
       "    this.resizeObserverInstance.observe(canvas_div);\n",
       "\n",
       "    function on_mouse_event_closure(name) {\n",
       "        /* User Agent sniffing is bad, but WebKit is busted:\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=144526\n",
       "         * https://bugs.webkit.org/show_bug.cgi?id=181818\n",
       "         * The worst that happens here is that they get an extra browser\n",
       "         * selection when dragging, if this check fails to catch them.\n",
       "         */\n",
       "        var UA = navigator.userAgent;\n",
       "        var isWebKit = /AppleWebKit/.test(UA) && !/Chrome/.test(UA);\n",
       "        if(isWebKit) {\n",
       "            return function (event) {\n",
       "                /* This prevents the web browser from automatically changing to\n",
       "                 * the text insertion cursor when the button is pressed. We\n",
       "                 * want to control all of the cursor setting manually through\n",
       "                 * the 'cursor' event from matplotlib */\n",
       "                event.preventDefault()\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        } else {\n",
       "            return function (event) {\n",
       "                return fig.mouse_event(event, name);\n",
       "            };\n",
       "        }\n",
       "    }\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mousedown',\n",
       "        on_mouse_event_closure('button_press')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseup',\n",
       "        on_mouse_event_closure('button_release')\n",
       "    );\n",
       "    canvas_div.addEventListener(\n",
       "        'dblclick',\n",
       "        on_mouse_event_closure('dblclick')\n",
       "    );\n",
       "    // Throttle sequential mouse events to 1 every 20ms.\n",
       "    canvas_div.addEventListener(\n",
       "        'mousemove',\n",
       "        on_mouse_event_closure('motion_notify')\n",
       "    );\n",
       "\n",
       "    canvas_div.addEventListener(\n",
       "        'mouseenter',\n",
       "        on_mouse_event_closure('figure_enter')\n",
       "    );\n",
       "    canvas_div.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",
       "    canvas_div.addEventListener('contextmenu', function (_e) {\n",
       "        event.preventDefault();\n",
       "        return false;\n",
       "    });\n",
       "\n",
       "    function set_focus() {\n",
       "        canvas.focus();\n",
       "        canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    window.setTimeout(set_focus, 100);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'mpl-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'mpl-button-group';\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'mpl-button-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        var button = (fig.buttons[name] = document.createElement('button'));\n",
       "        button.classList = 'mpl-widget';\n",
       "        button.setAttribute('role', 'button');\n",
       "        button.setAttribute('aria-disabled', 'false');\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "\n",
       "        var icon_img = document.createElement('img');\n",
       "        icon_img.src = '_images/' + image + '.png';\n",
       "        icon_img.srcset = '_images/' + image + '_large.png 2x';\n",
       "        icon_img.alt = tooltip;\n",
       "        button.appendChild(icon_img);\n",
       "\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    var fmt_picker = document.createElement('select');\n",
       "    fmt_picker.classList = 'mpl-widget';\n",
       "    toolbar.appendChild(fmt_picker);\n",
       "    this.format_dropdown = fmt_picker;\n",
       "\n",
       "    for (var ind in mpl.extensions) {\n",
       "        var fmt = mpl.extensions[ind];\n",
       "        var option = document.createElement('option');\n",
       "        option.selected = fmt === mpl.default_extension;\n",
       "        option.innerHTML = fmt;\n",
       "        fmt_picker.appendChild(option);\n",
       "    }\n",
       "\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.request_resize = function (x_pixels, y_pixels) {\n",
       "    // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
       "    // which will in turn request a refresh of the image.\n",
       "    this.send_message('resize', { width: x_pixels, height: y_pixels });\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_message = function (type, properties) {\n",
       "    properties['type'] = type;\n",
       "    properties['figure_id'] = this.id;\n",
       "    this.ws.send(JSON.stringify(properties));\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.send_draw_message = function () {\n",
       "    if (!this.waiting) {\n",
       "        this.waiting = true;\n",
       "        this.ws.send(JSON.stringify({ type: 'draw', figure_id: this.id }));\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    var format_dropdown = fig.format_dropdown;\n",
       "    var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
       "    fig.ondownload(fig, format);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_resize = function (fig, msg) {\n",
       "    var size = msg['size'];\n",
       "    if (size[0] !== fig.canvas.width || size[1] !== fig.canvas.height) {\n",
       "        fig._resize_canvas(size[0], size[1], msg['forward']);\n",
       "        fig.send_message('refresh', {});\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_rubberband = function (fig, msg) {\n",
       "    var x0 = msg['x0'] / fig.ratio;\n",
       "    var y0 = (fig.canvas.height - msg['y0']) / fig.ratio;\n",
       "    var x1 = msg['x1'] / fig.ratio;\n",
       "    var y1 = (fig.canvas.height - msg['y1']) / fig.ratio;\n",
       "    x0 = Math.floor(x0) + 0.5;\n",
       "    y0 = Math.floor(y0) + 0.5;\n",
       "    x1 = Math.floor(x1) + 0.5;\n",
       "    y1 = Math.floor(y1) + 0.5;\n",
       "    var min_x = Math.min(x0, x1);\n",
       "    var min_y = Math.min(y0, y1);\n",
       "    var width = Math.abs(x1 - x0);\n",
       "    var height = Math.abs(y1 - y0);\n",
       "\n",
       "    fig.rubberband_context.clearRect(\n",
       "        0,\n",
       "        0,\n",
       "        fig.canvas.width / fig.ratio,\n",
       "        fig.canvas.height / fig.ratio\n",
       "    );\n",
       "\n",
       "    fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_figure_label = function (fig, msg) {\n",
       "    // Updates the figure title.\n",
       "    fig.header.textContent = msg['label'];\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_cursor = function (fig, msg) {\n",
       "    fig.canvas_div.style.cursor = msg['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",
       "            var img = evt.data;\n",
       "            if (img.type !== 'image/png') {\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",
       "                img.type = 'image/png';\n",
       "            }\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",
       "                img\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",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * https://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",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    // from https://stackoverflow.com/q/1114465\n",
       "    var boundingRect = this.canvas.getBoundingClientRect();\n",
       "    var x = (event.clientX - boundingRect.left) * this.ratio;\n",
       "    var y = (event.clientY - boundingRect.top) * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    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.key === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.key;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.key !== 'Control') {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    else if (event.altKey && event.key !== 'Alt') {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    else if (event.shiftKey && event.key !== 'Shift') {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k' + event.key;\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",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis\", \"fa fa-square-o\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pgf\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\", \"webp\"];\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.binaryType = comm.kernel.ws.binaryType;\n",
       "    ws.readyState = comm.kernel.ws.readyState;\n",
       "    function updateReadyState(_event) {\n",
       "        if (comm.kernel.ws) {\n",
       "            ws.readyState = comm.kernel.ws.readyState;\n",
       "        } else {\n",
       "            ws.readyState = 3; // Closed state.\n",
       "        }\n",
       "    }\n",
       "    comm.kernel.ws.addEventListener('open', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('close', updateReadyState);\n",
       "    comm.kernel.ws.addEventListener('error', updateReadyState);\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",
       "        var data = msg['content']['data'];\n",
       "        if (data['blob'] !== undefined) {\n",
       "            data = {\n",
       "                data: new Blob(msg['buffers'], { type: data['blob'] }),\n",
       "            };\n",
       "        }\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(data);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    // 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=\"900\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colors = ['blue', 'orange', 'green', 'red', 'pink']\n",
    "fig, ax = plt.subplots()\n",
    "#fig.set_size_inches(10, 7, forward=True)\n",
    "fig.set_size_inches(9, 4, forward=True)\n",
    "\n",
    "ax.set_xlim(xlims_lower[nr_of_experiment-1], xlims_upper[nr_of_experiment-1])\n",
    "ax.set_ylim(ylims_lower[nr_of_experiment-1], ylims_upper[nr_of_experiment-1])\n",
    "ax.get_yaxis().set_visible(False)\n",
    "\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['bottom'].set_visible(False)\n",
    "ax.spines['left'].set_visible(False)\n",
    "\n",
    "\n",
    "plt.xlabel(chr(0x00b9)+'H, ppm', fontsize=15, labelpad=5)\n",
    "#plt.ylabel('Relative intensity', fontsize=15, labelpad=10)\n",
    "\n",
    "for i, name in enumerate(names_components_up_to):\n",
    "    ax.plot(ppm, globals()[name], alpha=1.0, color = colors[i], \n",
    "            label=components_dictionary['experiment_'+str(nr_of_experiment)][i])\n",
    "    if i==0:\n",
    "        ax.fill_between(ppm, 0, globals()[name], color=colors[0], alpha=1.0)\n",
    "    else:\n",
    "        predecessor = name[:-1]+str(i)\n",
    "        ax.fill_between(ppm, globals()[predecessor] , globals()[name], color=colors[i], alpha=1.0)\n",
    "ax.plot(ppm, mix_without_noise, color='black', alpha=1.0, label='Mixture', linewidth=0.5)\n",
    "ax.legend(prop={'size': 12}, loc='upper left')\n",
    "ax.invert_xaxis()\n",
    "plt.tight_layout()\n",
    "\n",
    "# if nr_of_experiment != 10:\n",
    "#     fig.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/mixture_and_all_components.png', dpi=300)\n",
    "# else:\n",
    "#     fig.savefig(os.getcwd()+'/visualisations/experiment'+str(nr_of_experiment)+'/mixture_and_all_components_variant'+str(variant+1)+'.png', dpi=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "95cf084b",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}