{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "717b91ed74cd4828a590a3cf043b894c",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure 0\n",
       "                </div>\n",
       "                <img 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' width=1100.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib widget\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from helper import setup_timeplot, plot_timedomain\n",
    "\n",
    "\n",
    "c_sensor = np.genfromtxt(\"./testdata/input/chirp_disturber.txt\", dtype=int)\n",
    "acc_sensor = np.genfromtxt(\"./testdata/input/disturber.txt\", dtype=int)\n",
    "out = np.genfromtxt(\"./testdata/output/out_simulated.txt\", dtype=int)\n",
    "\n",
    "setup_timeplot()\n",
    "plot_timedomain(c_sensor, acc_sensor, out)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}