{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "2fccb00e",
   "metadata": {},
   "source": [
    "# Synthetic generations\n",
    "\n",
    "<br/>\n",
    "<div class=\"alert alert-block alert-warning\" style=\"padding:1em\">The function to generate analytical track is <b>generate</b>.</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49bb68e5",
   "metadata": {},
   "source": [
    "## Let's start by defining our environment\n",
    "\n",
    "This task is only useful for the online notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f0f9ef5d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import sys\n",
    "\n",
    "# Import de tracklib\n",
    "module_path = os.path.abspath(os.path.join('../../..'))\n",
    "if module_path not in sys.path:\n",
    "    sys.path.append(module_path)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49ea696b",
   "metadata": {},
   "source": [
    "## Imports\n",
    "\n",
    "The following imports are necessary for all of the examples."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "189244c7",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import tracklib as tkl"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "19fdea8d",
   "metadata": {},
   "source": [
    "## Generate analytical track"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "123f5acc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-------------------------------------\n",
      "GPS track #0 of user 0:\n",
      "-------------------------------------\n",
      "  Nb of pt(s):   100\n",
      "  Ref sys id   : ENU\n",
      "  Starting at  : 31/01/2018 11:17:01\n",
      "  Ending at    : 31/01/2018 11:18:40\n",
      "  Duration     :  99.000 s\n",
      "  Length       : 94.014 m\n",
      "-------------------------------------\n",
      "\n"
     ]
    }
   ],
   "source": [
    "tkl.ObsTime.setReadFormat(\"4Y-2M-2D 2h:2m:2s\")\n",
    "dateini = tkl.ObsTime.readTimestamp(\"2018-01-31 11:17:00\")\n",
    "datefin = tkl.ObsTime.readTimestamp(\"2018-01-31 11:18:40\")\n",
    "\n",
    "def x_t(t):\n",
    "    return 10 * math.cos(4 * math.pi * t)*(1 + math.cos(3.5 * math.pi * t))\n",
    "def y_t(t):\n",
    "    return t\n",
    "def z_t(t):\n",
    "    return 5*t\n",
    "        \n",
    "t = tkl.generate(x_t, y_t, z_t, date_ini=dateini, date_fin=datefin, \n",
    "             verbose = False)\n",
    "t.plot('r-')\n",
    "t.plot(type='POINT', sym='bx', append=True, pointsize=10)\n",
    "plt.show()\n",
    "\n",
    "t.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "006c6bdd",
   "metadata": {},
   "source": [
    "## Generate field of tracks from integral curves of vector field"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6c99dc0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def vx(x,y):\n",
    "    return 1.0/100.0\n",
    "def vy(x,y):\n",
    "    return (x**2-x-2)/100.0\n",
    "\n",
    "TRACKS = tkl.generateDataSet(vx, vy, 100, (-5,-10), (5,10))\n",
    "\n",
    "for i in range(len(TRACKS)):\n",
    "    track = TRACKS[i]\n",
    "    plt.plot(track.getX(), track.getY(), 'k-', linewidth=0.5)\n",
    "\n",
    "plt.xlim([-6, 6])\n",
    "plt.ylim([-12, 12])\n",
    "plt.show()"
   ]
  }
 ],
 "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
}
