{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f087b216-4c7c-41aa-a9a7-cc6b8893a02a",
   "metadata": {
    "tags": []
   },
   "source": [
    "# TDA of financial time series\n",
    "\n",
    "This web app is a reimplementation of the paper\n",
    "[TDA of financial time series: Landscapes of crashes](https://arxiv.org/abs/1703.04385)\n",
    "using [gudhi](https://gudhi.inria.fr).\n",
    "\n",
    "Select a start and an end date (default one is to visualize the dotcom crash).\n",
    "You can visualize:\n",
    "* **dotcom** crash : start=03/10/1999 (10th of march), end = 03/10/2000\n",
    "* **Lehman brothers** crash : start=09/15/2007 (15th of september), end = 09/15/2008.\n",
    "\n",
    "In the publication, they use a 250 days (a little bit more than 1 year). \n",
    "You can set smaller date range if you find the computation not fast enough."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ce92a3b8-5fb7-4988-aab7-2cbdc2edba4e",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.06840157508850098 sec. \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f98f546611f04bc9af1593a8196cf966",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(DatePicker(value=datetime.date(2024, 8, 25), description='start', step=1), DatePicker(value=dat…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8b273ebe61ee446bb509aa4f8b2f8e08",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "FigureWidget({\n",
       "    'data': [{'mode': 'lines',\n",
       "              'name': 'L1',\n",
       "              'type': 'scatter',\n",
       "              'uid': '34ced7f8-82ec-4727-a504-4493cb2cd65e',\n",
       "              'x': array(['2024-09-16', '2024-09-17', '2024-09-18', '2024-09-19', '2024-09-20',\n",
       "                          '2024-09-23', '2024-09-24', '2024-09-25', '2024-09-26', '2024-09-27',\n",
       "                          '2024-09-30', '2024-10-01', '2024-10-02', '2024-10-03', '2024-10-04',\n",
       "                          '2024-10-07', '2024-10-08', '2024-10-09', '2024-10-10', '2024-10-11',\n",
       "                          '2024-10-14', '2024-10-15', '2024-10-16', '2024-10-17', '2024-10-18',\n",
       "                          '2024-10-21', '2024-10-22', '2024-10-23', '2024-10-24', '2024-10-25',\n",
       "                          '2024-10-28', '2024-10-29', '2024-10-30', '2024-10-31', '2024-11-01',\n",
       "                          '2024-11-04', '2024-11-05', '2024-11-06', '2024-11-07', '2024-11-08',\n",
       "                          '2024-11-11', '2024-11-12', '2024-11-13', '2024-11-14', '2024-11-15',\n",
       "                          '2024-11-18', '2024-11-19', '2024-11-20', '2024-11-21', '2024-11-22',\n",
       "                          '2024-11-25', '2024-11-26', '2024-11-27', '2024-11-29', '2024-12-02',\n",
       "                          '2024-12-03', '2024-12-04', '2024-12-05', '2024-12-06', '2024-12-09',\n",
       "                          '2024-12-10', '2024-12-11', '2024-12-12', '2024-12-13', '2024-12-16',\n",
       "                          '2024-12-17', '2024-12-18', '2024-12-19', '2024-12-20', '2024-12-23',\n",
       "                          '2024-12-24', '2024-12-26', '2024-12-27', '2024-12-30', '2024-12-31',\n",
       "                          '2025-01-02', '2025-01-03', '2025-01-06', '2025-01-07', '2025-01-08',\n",
       "                          '2025-01-10', '2025-01-13', '2025-01-14', '2025-01-15', '2025-01-16',\n",
       "                          '2025-01-17', '2025-01-21', '2025-01-22', '2025-01-23', '2025-01-24',\n",
       "                          '2025-01-27', '2025-01-28', '2025-01-29', '2025-01-30', '2025-01-31',\n",
       "                          '2025-02-03', '2025-02-04', '2025-02-05', '2025-02-06', '2025-02-07',\n",
       "                          '2025-02-10', '2025-02-11', '2025-02-12', '2025-02-13', '2025-02-14',\n",
       "                          '2025-02-18', '2025-02-19', '2025-02-20', '2025-02-21', '2025-02-24',\n",
       "                          '2025-02-25', '2025-02-26', '2025-02-27', '2025-02-28', '2025-03-03',\n",
       "                          '2025-03-04', '2025-03-05', '2025-03-06', '2025-03-07', '2025-03-10',\n",
       "                          '2025-03-11', '2025-03-12', '2025-03-13', '2025-03-14', '2025-03-17',\n",
       "                          '2025-03-18', '2025-03-19', '2025-03-20', '2025-03-21', '2025-03-24',\n",
       "                          '2025-03-25', '2025-03-26', '2025-03-27', '2025-03-28', '2025-03-31',\n",
       "                          '2025-04-01', '2025-04-02', '2025-04-03', '2025-04-04', '2025-04-07',\n",
       "                          '2025-04-08', '2025-04-09', '2025-04-10', '2025-04-11', '2025-04-14',\n",
       "                          '2025-04-15', '2025-04-16', '2025-04-17', '2025-04-21', '2025-04-22',\n",
       "                          '2025-04-23', '2025-04-24', '2025-04-25', '2025-04-28', '2025-04-29',\n",
       "                          '2025-04-30', '2025-05-01'], dtype=object),\n",
       "              'y': {'bdata': ('LnH03+Bh6T8F74f+2GHpP2cLwDi6Fu' ... 'AAAAAAAI6fEv1OgbA/H2Jq1rAMyD8='),\n",
       "                    'dtype': 'f8'}},\n",
       "             {'mode': 'lines',\n",
       "              'name': 'L2',\n",
       "              'type': 'scatter',\n",
       "              'uid': '5e19ef66-d488-403d-b509-8a244315e693',\n",
       "              'x': array(['2024-09-16', '2024-09-17', '2024-09-18', '2024-09-19', '2024-09-20',\n",
       "                          '2024-09-23', '2024-09-24', '2024-09-25', '2024-09-26', '2024-09-27',\n",
       "                          '2024-09-30', '2024-10-01', '2024-10-02', '2024-10-03', '2024-10-04',\n",
       "                          '2024-10-07', '2024-10-08', '2024-10-09', '2024-10-10', '2024-10-11',\n",
       "                          '2024-10-14', '2024-10-15', '2024-10-16', '2024-10-17', '2024-10-18',\n",
       "                          '2024-10-21', '2024-10-22', '2024-10-23', '2024-10-24', '2024-10-25',\n",
       "                          '2024-10-28', '2024-10-29', '2024-10-30', '2024-10-31', '2024-11-01',\n",
       "                          '2024-11-04', '2024-11-05', '2024-11-06', '2024-11-07', '2024-11-08',\n",
       "                          '2024-11-11', '2024-11-12', '2024-11-13', '2024-11-14', '2024-11-15',\n",
       "                          '2024-11-18', '2024-11-19', '2024-11-20', '2024-11-21', '2024-11-22',\n",
       "                          '2024-11-25', '2024-11-26', '2024-11-27', '2024-11-29', '2024-12-02',\n",
       "                          '2024-12-03', '2024-12-04', '2024-12-05', '2024-12-06', '2024-12-09',\n",
       "                          '2024-12-10', '2024-12-11', '2024-12-12', '2024-12-13', '2024-12-16',\n",
       "                          '2024-12-17', '2024-12-18', '2024-12-19', '2024-12-20', '2024-12-23',\n",
       "                          '2024-12-24', '2024-12-26', '2024-12-27', '2024-12-30', '2024-12-31',\n",
       "                          '2025-01-02', '2025-01-03', '2025-01-06', '2025-01-07', '2025-01-08',\n",
       "                          '2025-01-10', '2025-01-13', '2025-01-14', '2025-01-15', '2025-01-16',\n",
       "                          '2025-01-17', '2025-01-21', '2025-01-22', '2025-01-23', '2025-01-24',\n",
       "                          '2025-01-27', '2025-01-28', '2025-01-29', '2025-01-30', '2025-01-31',\n",
       "                          '2025-02-03', '2025-02-04', '2025-02-05', '2025-02-06', '2025-02-07',\n",
       "                          '2025-02-10', '2025-02-11', '2025-02-12', '2025-02-13', '2025-02-14',\n",
       "                          '2025-02-18', '2025-02-19', '2025-02-20', '2025-02-21', '2025-02-24',\n",
       "                          '2025-02-25', '2025-02-26', '2025-02-27', '2025-02-28', '2025-03-03',\n",
       "                          '2025-03-04', '2025-03-05', '2025-03-06', '2025-03-07', '2025-03-10',\n",
       "                          '2025-03-11', '2025-03-12', '2025-03-13', '2025-03-14', '2025-03-17',\n",
       "                          '2025-03-18', '2025-03-19', '2025-03-20', '2025-03-21', '2025-03-24',\n",
       "                          '2025-03-25', '2025-03-26', '2025-03-27', '2025-03-28', '2025-03-31',\n",
       "                          '2025-04-01', '2025-04-02', '2025-04-03', '2025-04-04', '2025-04-07',\n",
       "                          '2025-04-08', '2025-04-09', '2025-04-10', '2025-04-11', '2025-04-14',\n",
       "                          '2025-04-15', '2025-04-16', '2025-04-17', '2025-04-21', '2025-04-22',\n",
       "                          '2025-04-23', '2025-04-24', '2025-04-25', '2025-04-28', '2025-04-29',\n",
       "                          '2025-04-30', '2025-05-01'], dtype=object),\n",
       "              'y': {'bdata': ('1RuxMPfs6D+lGKwu9+zoPyccb6O1Ee' ... 'AAAAAAABLC2x+jdbU/2+2TlNA2zj8='),\n",
       "                    'dtype': 'f8'}},\n",
       "             {'mode': 'lines',\n",
       "              'name': 'L1_variance',\n",
       "              'type': 'scatter',\n",
       "              'uid': 'd975019c-5401-4567-8d42-3bc1302eee68',\n",
       "              'x': array(['2024-09-16', '2024-09-17', '2024-09-18', '2024-09-19', '2024-09-20',\n",
       "                          '2024-09-23', '2024-09-24', '2024-09-25', '2024-09-26', '2024-09-27',\n",
       "                          '2024-09-30', '2024-10-01', '2024-10-02', '2024-10-03', '2024-10-04',\n",
       "                          '2024-10-07', '2024-10-08', '2024-10-09', '2024-10-10', '2024-10-11',\n",
       "                          '2024-10-14', '2024-10-15', '2024-10-16', '2024-10-17', '2024-10-18',\n",
       "                          '2024-10-21', '2024-10-22', '2024-10-23', '2024-10-24', '2024-10-25',\n",
       "                          '2024-10-28', '2024-10-29', '2024-10-30', '2024-10-31', '2024-11-01',\n",
       "                          '2024-11-04', '2024-11-05', '2024-11-06', '2024-11-07', '2024-11-08',\n",
       "                          '2024-11-11', '2024-11-12', '2024-11-13', '2024-11-14', '2024-11-15',\n",
       "                          '2024-11-18', '2024-11-19', '2024-11-20', '2024-11-21', '2024-11-22',\n",
       "                          '2024-11-25', '2024-11-26', '2024-11-27', '2024-11-29', '2024-12-02',\n",
       "                          '2024-12-03', '2024-12-04', '2024-12-05', '2024-12-06', '2024-12-09',\n",
       "                          '2024-12-10', '2024-12-11', '2024-12-12', '2024-12-13', '2024-12-16',\n",
       "                          '2024-12-17', '2024-12-18', '2024-12-19', '2024-12-20', '2024-12-23',\n",
       "                          '2024-12-24', '2024-12-26', '2024-12-27', '2024-12-30', '2024-12-31',\n",
       "                          '2025-01-02', '2025-01-03', '2025-01-06', '2025-01-07', '2025-01-08',\n",
       "                          '2025-01-10', '2025-01-13', '2025-01-14', '2025-01-15', '2025-01-16',\n",
       "                          '2025-01-17', '2025-01-21', '2025-01-22', '2025-01-23', '2025-01-24',\n",
       "                          '2025-01-27', '2025-01-28', '2025-01-29', '2025-01-30', '2025-01-31',\n",
       "                          '2025-02-03', '2025-02-04', '2025-02-05', '2025-02-06', '2025-02-07',\n",
       "                          '2025-02-10', '2025-02-11', '2025-02-12', '2025-02-13', '2025-02-14',\n",
       "                          '2025-02-18', '2025-02-19', '2025-02-20', '2025-02-21', '2025-02-24',\n",
       "                          '2025-02-25', '2025-02-26', '2025-02-27', '2025-02-28', '2025-03-03',\n",
       "                          '2025-03-04', '2025-03-05', '2025-03-06', '2025-03-07', '2025-03-10',\n",
       "                          '2025-03-11', '2025-03-12', '2025-03-13', '2025-03-14', '2025-03-17',\n",
       "                          '2025-03-18', '2025-03-19', '2025-03-20', '2025-03-21', '2025-03-24',\n",
       "                          '2025-03-25', '2025-03-26', '2025-03-27', '2025-03-28', '2025-03-31',\n",
       "                          '2025-04-01', '2025-04-02', '2025-04-03', '2025-04-04', '2025-04-07',\n",
       "                          '2025-04-08', '2025-04-09', '2025-04-10', '2025-04-11', '2025-04-14',\n",
       "                          '2025-04-15', '2025-04-16', '2025-04-17', '2025-04-21', '2025-04-22',\n",
       "                          '2025-04-23', '2025-04-24', '2025-04-25', '2025-04-28', '2025-04-29',\n",
       "                          '2025-04-30', '2025-05-01'], dtype=object),\n",
       "              'y': {'bdata': ('AAAAAAAA+H8AAAAAAAAAAGIThIQ3DY' ... '3vHyKuP+TLFaMKXK8/6InBU4c7sD8='),\n",
       "                    'dtype': 'f8'}},\n",
       "             {'mode': 'lines',\n",
       "              'name': 'L2_variance',\n",
       "              'type': 'scatter',\n",
       "              'uid': '1add5db8-23cf-4c63-8800-4567837bb181',\n",
       "              'x': array(['2024-09-16', '2024-09-17', '2024-09-18', '2024-09-19', '2024-09-20',\n",
       "                          '2024-09-23', '2024-09-24', '2024-09-25', '2024-09-26', '2024-09-27',\n",
       "                          '2024-09-30', '2024-10-01', '2024-10-02', '2024-10-03', '2024-10-04',\n",
       "                          '2024-10-07', '2024-10-08', '2024-10-09', '2024-10-10', '2024-10-11',\n",
       "                          '2024-10-14', '2024-10-15', '2024-10-16', '2024-10-17', '2024-10-18',\n",
       "                          '2024-10-21', '2024-10-22', '2024-10-23', '2024-10-24', '2024-10-25',\n",
       "                          '2024-10-28', '2024-10-29', '2024-10-30', '2024-10-31', '2024-11-01',\n",
       "                          '2024-11-04', '2024-11-05', '2024-11-06', '2024-11-07', '2024-11-08',\n",
       "                          '2024-11-11', '2024-11-12', '2024-11-13', '2024-11-14', '2024-11-15',\n",
       "                          '2024-11-18', '2024-11-19', '2024-11-20', '2024-11-21', '2024-11-22',\n",
       "                          '2024-11-25', '2024-11-26', '2024-11-27', '2024-11-29', '2024-12-02',\n",
       "                          '2024-12-03', '2024-12-04', '2024-12-05', '2024-12-06', '2024-12-09',\n",
       "                          '2024-12-10', '2024-12-11', '2024-12-12', '2024-12-13', '2024-12-16',\n",
       "                          '2024-12-17', '2024-12-18', '2024-12-19', '2024-12-20', '2024-12-23',\n",
       "                          '2024-12-24', '2024-12-26', '2024-12-27', '2024-12-30', '2024-12-31',\n",
       "                          '2025-01-02', '2025-01-03', '2025-01-06', '2025-01-07', '2025-01-08',\n",
       "                          '2025-01-10', '2025-01-13', '2025-01-14', '2025-01-15', '2025-01-16',\n",
       "                          '2025-01-17', '2025-01-21', '2025-01-22', '2025-01-23', '2025-01-24',\n",
       "                          '2025-01-27', '2025-01-28', '2025-01-29', '2025-01-30', '2025-01-31',\n",
       "                          '2025-02-03', '2025-02-04', '2025-02-05', '2025-02-06', '2025-02-07',\n",
       "                          '2025-02-10', '2025-02-11', '2025-02-12', '2025-02-13', '2025-02-14',\n",
       "                          '2025-02-18', '2025-02-19', '2025-02-20', '2025-02-21', '2025-02-24',\n",
       "                          '2025-02-25', '2025-02-26', '2025-02-27', '2025-02-28', '2025-03-03',\n",
       "                          '2025-03-04', '2025-03-05', '2025-03-06', '2025-03-07', '2025-03-10',\n",
       "                          '2025-03-11', '2025-03-12', '2025-03-13', '2025-03-14', '2025-03-17',\n",
       "                          '2025-03-18', '2025-03-19', '2025-03-20', '2025-03-21', '2025-03-24',\n",
       "                          '2025-03-25', '2025-03-26', '2025-03-27', '2025-03-28', '2025-03-31',\n",
       "                          '2025-04-01', '2025-04-02', '2025-04-03', '2025-04-04', '2025-04-07',\n",
       "                          '2025-04-08', '2025-04-09', '2025-04-10', '2025-04-11', '2025-04-14',\n",
       "                          '2025-04-15', '2025-04-16', '2025-04-17', '2025-04-21', '2025-04-22',\n",
       "                          '2025-04-23', '2025-04-24', '2025-04-25', '2025-04-28', '2025-04-29',\n",
       "                          '2025-04-30', '2025-05-01'], dtype=object),\n",
       "              'y': {'bdata': ('AAAAAAAA+H8AAAAAAAAAAACkqH+XUF' ... '5Pi3evPwG+VQGmp7A/jJk0H+U1sT8='),\n",
       "                    'dtype': 'f8'}}],\n",
       "    'layout': {'template': '...', 'title': {'text': 'Lp norms'}, 'xaxis': {'dtick': 'M1', 'tickformat': '%b\\n%Y'}}\n",
       "})"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Some basic data science imports\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn.pipeline import Pipeline\n",
    "import datetime\n",
    "\n",
    "import time\n",
    "import os\n",
    "\n",
    "# Some gudhi imports for TDA\n",
    "from tda_pipeline import DataSelector, LPNorm\n",
    "from gudhi.representations import Landscape\n",
    "from gudhi.sklearn.rips_persistence import RipsPersistence\n",
    "\n",
    "# Some graphical imports for the web app\n",
    "import ipywidgets as widgets\n",
    "import plotly.graph_objects as go\n",
    "\n",
    "# Some imports for ipywidgets\n",
    "from ipywidgets import DatePicker, BoundedIntText, ToggleButton, Text, HBox, VBox\n",
    "from IPython.display import display\n",
    "\n",
    "# cf. data_generation.py\n",
    "df = pd.read_csv('latest.csv', index_col=0)\n",
    "\n",
    "# min, max and default start values taken from the dataset - Python 3.7+\n",
    "min_value = datetime.date.fromisoformat(df.index[0])\n",
    "max_value = datetime.date.fromisoformat(df.index[-1])\n",
    "\n",
    "last_year = max_value - datetime.timedelta(days=250)\n",
    "\n",
    "# Widgets\n",
    "start = DatePicker(description='start', value = last_year)\n",
    "end   = DatePicker(description='end', value = max_value)\n",
    "window = BoundedIntText(value=50, min=10, max=200, step=1, description='Windows size')\n",
    "\n",
    "button = ToggleButton(description='Compute', icon='cogs')\n",
    "\n",
    "def nearest_str_date(items, pivot):\n",
    "    return min(items, key=lambda str_date: abs(datetime.date.fromisoformat(str_date) - pivot))\n",
    "\n",
    "def compute_Lp_norms():\n",
    "    w=int(window.value)\n",
    "    start_idx = df.index.get_loc(str(nearest_str_date(df.index, start.value - datetime.timedelta(days=w))))\n",
    "    end_idx = df.index.get_loc(str(nearest_str_date(df.index, end.value)))\n",
    "    # Some error management\n",
    "    if start_idx == end_idx:\n",
    "        raise IndexError('Start date must be different from end date.')\n",
    "    if end_idx < w:\n",
    "        end_idx = w\n",
    "    if end_idx < start_idx:\n",
    "        start_idx, end_idx = end_idx, start_idx\n",
    "\n",
    "    pipe = Pipeline(\n",
    "        [\n",
    "            (\"data_sel\", DataSelector(start=start_idx, end=end_idx, w=w)),\n",
    "            (\"rips_pers\", RipsPersistence(homology_dimensions=1, n_jobs=-1)),\n",
    "            (\"landscape\", Landscape(resolution=1000)),\n",
    "            (\"lpnorm\", LPNorm(n_jobs=-1)),\n",
    "            (\"mms\", MinMaxScaler()),\n",
    "        ]\n",
    "    )\n",
    "\n",
    "    start_chrono = float(time.time())\n",
    "    #os.write(1, bytes(str(start_chrono),'UTF-8') + b'\\r\\n')\n",
    "    L1L2mms = pipe.fit_transform(df)\n",
    "    stop_chrono = float(time.time())\n",
    "    #os.write(1, bytes(str(stop_chrono),'UTF-8') + b'\\r\\n')\n",
    "    os.write(1, bytes(str(stop_chrono - start_chrono),'UTF-8') + b' sec. \\r\\n')\n",
    "    \n",
    "    l1l2df = pd.DataFrame({'date': df[start_idx+w:end_idx].index, 'L1': L1L2mms.transpose()[0], 'L2': L1L2mms.transpose()[1]})\n",
    "    # Calculate the variance for the L norms\n",
    "    j = 0\n",
    "\n",
    "    for i in l1l2df.index:\n",
    "        if j < w:\n",
    "            k = 0\n",
    "        else:\n",
    "            k = j - w\n",
    "        l1l2df.loc[i, 'L1_variance'] = np.var(l1l2df.iloc[k:j].L1)\n",
    "        l1l2df.loc[i, 'L2_variance'] = np.var(l1l2df.iloc[k:j].L2)\n",
    "        j += 1\n",
    "        \n",
    "    return l1l2df\n",
    "\n",
    "def compute(args):\n",
    "    l1l2df = compute_Lp_norms()\n",
    "    fig.data[0]['x'] = l1l2df['date']\n",
    "    fig.data[0]['y'] = l1l2df['L1']\n",
    "    fig.data[1]['x'] = l1l2df['date']\n",
    "    fig.data[1]['y'] = l1l2df['L2']\n",
    "    fig.data[2]['x'] = l1l2df['date']\n",
    "    fig.data[2]['y'] = l1l2df['L1_variance']\n",
    "    fig.data[3]['x'] = l1l2df['date']\n",
    "    fig.data[3]['y'] = l1l2df['L2_variance']\n",
    "    \n",
    "button.observe(compute, 'value')\n",
    "\n",
    "# Layout\n",
    "left_box = HBox([start, end, window, button])\n",
    "\n",
    "fig = go.FigureWidget()\n",
    "\n",
    "l1l2df = compute_Lp_norms()\n",
    "fig.add_scatter(x=l1l2df['date'], y=l1l2df['L1'], mode='lines', name='L1')\n",
    "fig.add_scatter(x=l1l2df['date'], y=l1l2df['L2'], mode='lines', name='L2')\n",
    "fig.add_scatter(x=l1l2df['date'], y=l1l2df['L1_variance'], mode='lines', name='L1_variance')\n",
    "fig.add_scatter(x=l1l2df['date'], y=l1l2df['L2_variance'], mode='lines', name='L2_variance')\n",
    "fig.update_xaxes(dtick=\"M1\", tickformat=\"%b\\n%Y\")\n",
    "fig.layout.title.text = 'Lp norms'\n",
    "\n",
    "display(left_box)\n",
    "fig"
   ]
  }
 ],
 "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": "3.13.3"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "04bc1b8cc8c4440bb1ae1f67623b495a": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "0dc80c24c27f44fa896d7ca633cdc852": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "2dd47ab560bf407ba83fcbe459cad9fb": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "DescriptionStyleModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "StyleView",
       "description_width": ""
      }
     },
     "357fd4335a6e44048a0930d36e813e17": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "DescriptionStyleModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "StyleView",
       "description_width": ""
      }
     },
     "3eec89c53f2b41f4a20fd494cf878aa4": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "DescriptionStyleModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "StyleView",
       "description_width": ""
      }
     },
     "3fc813ba2a024825bc45323cb5095a39": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "BoundedIntTextModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "BoundedIntTextModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/controls",
       "_view_module_version": "1.5.0",
       "_view_name": "IntTextView",
       "continuous_update": false,
       "description": "Windows size",
       "description_tooltip": null,
       "disabled": false,
       "layout": "IPY_MODEL_04bc1b8cc8c4440bb1ae1f67623b495a",
       "max": 100,
       "min": 10,
       "step": 1,
       "style": "IPY_MODEL_3eec89c53f2b41f4a20fd494cf878aa4",
       "value": 50
      }
     },
     "5e3a1b06e72f427b8e4a70d93b24d0aa": {
      "buffers": [
       {
        "data": "AAAAAAAA+H8AAAAAAAAAAN+dGBnz90M/ya6foaX7jz8UobdEndWRP8Pp1zvdxpE/o2AhmHvDkD+TZB7Jn0aSP6bDYyYvjpI/jIYGYS9Ekj80pon0UhySP3SjMUUwmac/8d3vTAA9sz8mhtY2Ola4Pw==",
        "encoding": "base64",
        "path": [
         "_py2js_addTraces",
         "trace_data",
         0,
         "y",
         "buffer"
        ]
       }
      ],
      "model_module": "jupyterlab-plotly",
      "model_module_version": "^5.8.0",
      "model_name": "FigureModel",
      "state": {
       "_config": {
        "plotlyServerURL": "https://plot.ly"
       },
       "_data": [],
       "_dom_classes": [],
       "_js2py_layoutDelta": {},
       "_js2py_pointsCallback": {},
       "_js2py_relayout": {},
       "_js2py_restyle": {},
       "_js2py_traceDeltas": {},
       "_js2py_update": {},
       "_last_layout_edit_id": 6,
       "_last_trace_edit_id": 5,
       "_layout": {},
       "_model_module": "jupyterlab-plotly",
       "_model_module_version": "^5.8.0",
       "_model_name": "FigureModel",
       "_py2js_addTraces": null,
       "_py2js_animate": {},
       "_py2js_deleteTraces": {},
       "_py2js_moveTraces": {},
       "_py2js_relayout": null,
       "_py2js_removeLayoutProps": {},
       "_py2js_removeTraceProps": {},
       "_py2js_restyle": {},
       "_py2js_update": null,
       "_view_count": 0,
       "_view_module": "jupyterlab-plotly",
       "_view_module_version": "^5.8.0",
       "_view_name": "FigureView"
      }
     },
     "6974f6f5554e4668be6b4fa3a3fb492e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "ToggleButtonModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "ToggleButtonModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/controls",
       "_view_module_version": "1.5.0",
       "_view_name": "ToggleButtonView",
       "button_style": "",
       "description": "Compute",
       "description_tooltip": null,
       "disabled": false,
       "icon": "cogs",
       "layout": "IPY_MODEL_a5791796fc444ec2bea6bcbc8ad415b2",
       "style": "IPY_MODEL_357fd4335a6e44048a0930d36e813e17",
       "tooltip": "",
       "value": false
      }
     },
     "69be8b6286d34467887fb5c33635d05a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DatePickerModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "DatePickerModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/controls",
       "_view_module_version": "1.5.0",
       "_view_name": "DatePickerView",
       "description": "end",
       "description_tooltip": null,
       "disabled": false,
       "layout": "IPY_MODEL_dd7395b432754bf5b0d79468572c28b4",
       "style": "IPY_MODEL_2dd47ab560bf407ba83fcbe459cad9fb",
       "value": {
        "date": 26,
        "month": 4,
        "year": 2022
       }
      }
     },
     "6a4dcad6b7664b3881f746d503756c95": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "HBoxModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "HBoxModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/controls",
       "_view_module_version": "1.5.0",
       "_view_name": "HBoxView",
       "box_style": "",
       "children": [
        "IPY_MODEL_bfe8dd1677374565874f47575c965f2a",
        "IPY_MODEL_69be8b6286d34467887fb5c33635d05a",
        "IPY_MODEL_3fc813ba2a024825bc45323cb5095a39",
        "IPY_MODEL_6974f6f5554e4668be6b4fa3a3fb492e"
       ],
       "layout": "IPY_MODEL_f66b3f77f7734f5cb0dbb201d72c0bc0"
      }
     },
     "9effc611d77549d7b8b5b7a82551964a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DescriptionStyleModel",
      "state": {
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "DescriptionStyleModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "StyleView",
       "description_width": ""
      }
     },
     "a5791796fc444ec2bea6bcbc8ad415b2": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "bfe8dd1677374565874f47575c965f2a": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "DatePickerModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/controls",
       "_model_module_version": "1.5.0",
       "_model_name": "DatePickerModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/controls",
       "_view_module_version": "1.5.0",
       "_view_name": "DatePickerView",
       "description": "start",
       "description_tooltip": null,
       "disabled": false,
       "layout": "IPY_MODEL_0dc80c24c27f44fa896d7ca633cdc852",
       "style": "IPY_MODEL_9effc611d77549d7b8b5b7a82551964a",
       "value": {
        "date": 18,
        "month": 8,
        "year": 2021
       }
      }
     },
     "dd7395b432754bf5b0d79468572c28b4": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "f66b3f77f7734f5cb0dbb201d72c0bc0": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}