{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8f8ab356",
   "metadata": {},
   "source": [
    "# A quickstart guide to the Tracklib library\n",
    "\n",
    "### Or how to load, plot, use operators to compute new features, summarize, split and segment on a GPS track\n",
    "\n",
    "Le but de ce quickstart est de montrer quelques commandes de base de la librairie tracklib. Les données d'une trace GPS qui représente un entrainement de course à pied sur une piste d'athletisme. Nous verrons donc comment charger les données, la représenter avec des indicateurs de base (vitesse, abscisse curviligne, etc.) afin d'y observer visuellement des phénomènes. Enfin nous verrons comment segmenter la trace suivant un changement de vitesse détecté."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3585a0f",
   "metadata": {},
   "source": [
    "## Import de la librairie tracklib\n",
    "\n",
    "This task is only useful for the online notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "65738cda",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "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)\n",
    "    \n",
    "import tracklib as tkl"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "285b6aff",
   "metadata": {},
   "source": [
    "## Read GPS data, transform coordinates and print summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d88dc651",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: no reference point (base) provided for local projection to ENU coordinates. Arbitrarily used: [lon= 2.457019882, lat=48.830705099, hgt= 55.200]\n",
      "-------------------------------------\n",
      "GPS track #0 of user 0:\n",
      "-------------------------------------\n",
      "  Nb of pt(s):   190\n",
      "  Ref sys id   : ENU\n",
      "  Starting at  : 11/11/2020 15:39:54\n",
      "  Ending at    : 11/11/2020 15:52:00\n",
      "  Duration     : 726.000 s\n",
      "  Length       : 2412.144 m\n",
      "-------------------------------------\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# ---------------------------------------------------\n",
    "# Lecture des donnees\n",
    "# ---------------------------------------------------\n",
    "tkl.ObsTime.setReadFormat(\"4Y-2M-2DT2h:2m:2sZ\")\n",
    "tracks = tkl.TrackReader.readFromFile('../../../data/gpx/activity_5807084803.gpx', tkl.TrackFormat({'ext': 'GPX'}))\n",
    "trace = tracks.getTrack(0)\n",
    "\n",
    "# Transformation GEO coordinates to ENU\n",
    "trace.toENUCoords()\n",
    "\n",
    "# Summary\n",
    "trace.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7dccdef",
   "metadata": {},
   "source": [
    "## Display GPS data\n",
    "\n",
    "* Figure 1: in a cartesian reference frame \n",
    "* Figure 2: in a circular reference frame"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "89b029c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 432x144 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 2))\n",
    "plt.subplots_adjust(top=1.3, wspace=0.2, hspace=0.2)\n",
    "\n",
    "# GPS track in a cartesian coordinate system\n",
    "ax1 = plt.subplot2grid((1, 2), (0, 0))\n",
    "trace.plot(type='LINE', append=ax1)\n",
    "\n",
    "#\n",
    "ax2 = plt.subplot2grid((1, 2), (0, 1))\n",
    "trace.plot(type='CIRCULAR', append=ax2)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ebabaa3",
   "metadata": {},
   "source": [
    "## Compute local speed\n",
    "\n",
    "La méthode estimate_speed de l'objet track, calcule la vitesse locale en chaque point et stocke le résultat dans une AF \"speed\".\n",
    "\n",
    "La vitesse locale sur le premier (resp dernier) point est égale à la vitesse au premier (resp avant dernier) point. Pour les autres points, la vitesse est calculée suivant le point précédent et le suivant:\n",
    "\n",
    "speed(i) = distance (point(i+1), point(i-1)) / temps écoulé entre point(i-1) et point (i+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ad5a3ef3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "[4.55221497831179, 6.255327113366183, 5.896832339965242, 4.978192041525976, 5.334848802884135, 5.503904742096748, 4.541114070830664, 4.5655781449843715, 4.272215133699211, 4.3784508497879155]\n"
     ]
    }
   ],
   "source": [
    "# Compute local speed\n",
    "trace.estimate_speed()\n",
    "print ('')\n",
    "\n",
    "# Get all speed values\n",
    "SPEEDS = trace.getAnalyticalFeature('speed')\n",
    "# Display the top ten speeds\n",
    "print (SPEEDS[0:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5155f1d",
   "metadata": {},
   "source": [
    "## Different plots of speed observations\n",
    "\n",
    "* Figure 1: whisker plot for each speed values\n",
    "* Figure 2: GPS data, color depends on speed\n",
    "* Figure 3: speed profil along the curvilinear abscissa"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7b92d1db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5), dpi=80)\n",
    "plt.subplots_adjust(top=1.3, wspace=0.2, hspace=0.2)\n",
    "\n",
    "# \n",
    "ax1 = plt.subplot2grid((2, 2), (0, 0))\n",
    "trace.plotAnalyticalFeature('speed', 'BOXPLOT', append=ax1) \n",
    "\n",
    "# Display the GPS data, color depends on speed\n",
    "ax2 = plt.subplot2grid((2, 2), (0, 1))\n",
    "trace.plot(type='POINT', af_name='speed', append=ax2)\n",
    "\n",
    "# Display the speed profil along the curvilinear abscissa\n",
    "ax3 = plt.subplot2grid((2, 2), (1, 0), colspan=2)\n",
    "trace.plotProfil('SPATIAL_SPEED_PROFIL', append=ax3)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebc1d923",
   "metadata": {},
   "source": [
    "## Summarize analytical features and plot it in images\n",
    "\n",
    "In tracklib library, it is possible to summarize into a regular grid features (quantitatives measures). For example, the average of speed, most dominant direction and the minimum of acceleration are computed per 3 by 3 meter cells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4d1825c0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 960x800 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "collection = tkl.TrackCollection([trace])\n",
    "\n",
    "trace.addAnalyticalFeature(tkl.acceleration)\n",
    "trace.addAnalyticalFeature(tkl.heading)\n",
    "\n",
    "af_algos = [tkl.speed, tkl.heading, tkl.acceleration]\n",
    "cell_operators = [tkl.co_avg, tkl.co_dominant, tkl.co_min]\n",
    "marge = 0.1\n",
    "res = (3,3)\n",
    "raster = tkl.summarize(collection, af_algos, cell_operators, res, marge)\n",
    "\n",
    "plt.figure(figsize=(12, 10), dpi=80)\n",
    "plt.subplots_adjust(top=1.3, wspace=0.2, hspace=0.2)\n",
    "\n",
    "ax1 = plt.subplot2grid((1, 3), (0, 0))\n",
    "raster.plot('speed#co_avg', append=ax1)\n",
    "\n",
    "ax2 = plt.subplot2grid((1, 3), (0, 1))\n",
    "raster.plot('heading#co_dominant', append=ax2)\n",
    "\n",
    "ax3 = plt.subplot2grid((1, 3), (0, 2))\n",
    "raster.plot('acceleration#co_min', append=ax3)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "027f5433",
   "metadata": {},
   "source": [
    "## Compute speed change\n",
    "\n",
    "Speed change is calculated as the absolute of the difference of speed between two consecutive points:\n",
    "\n",
    "1. $dv_i = v_i - v_{i-1}$\n",
    "\n",
    "   we compute $dv$ by using the differentiator operator\n",
    "   \n",
    "\n",
    "2. $absdv_i = |dv_i|$\n",
    "\n",
    "   follow up rectifier operator to have the absolute value of the difference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "237eab4f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "trace.operate(tkl.Operator.DIFFERENTIATOR, \"speed\", \"dv\")\n",
    "trace.operate(tkl.Operator.RECTIFIER, \"dv\", \"absdv\")\n",
    "\n",
    "# Speed change according to the curvilinear abscissa\n",
    "trace.plotAnalyticalFeature(\"absdv\", \"PLOT\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91c5f7fa",
   "metadata": {},
   "source": [
    "## Segmentation\n",
    "\n",
    "Once the speed change marker is calculed, we can split the track on a collection of tracks. The marker is called here $speed_decoup$. We cut the track when the speed change is under the threshold 1.5 meter per second. If the track splitted have less 50 points, we don't keep it.\n",
    "\n",
    "Next, we show the tracks segmented and interpolated with the spline method. Some indicators on the speed are calculated at the same time. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "dcd6a6a4",
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Rep 1 :  vmoy =  17.22 km/h   vmax =  22.81  km/h   vc =  16.67 km/h\n",
      "Rep 2 :  vmoy =  16.39 km/h   vmax =  17.7  km/h   vc =  16.18 km/h\n",
      "Rep 3 :  vmoy =  16.72 km/h   vmax =  17.94  km/h   vc =  16.62 km/h\n",
      "Rep 4 :  vmoy =  16.09 km/h   vmax =  19.18  km/h   vc =  15.92 km/h\n",
      "Rep 5 :  vmoy =  16.63 km/h   vmax =  18.02  km/h   vc =  16.78 km/h\n",
      "Rep 6 :  vmoy =  16.16 km/h   vmax =  18.6  km/h   vc =  16.29 km/h\n",
      "Rep 7 :  vmoy =  16.36 km/h   vmax =  18.45  km/h   vc =  16.3 km/h\n",
      "Rep 8 :  vmoy =  16.43 km/h   vmax =  20.29  km/h   vc =  16.36 km/h\n",
      "Rep 9 :  vmoy =  16.73 km/h   vmax =  19.08  km/h   vc =  16.4 km/h\n",
      "Rep 10 :  vmoy =  17.81 km/h   vmax =  20.48  km/h   vc =  18.2 km/h\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  Segmentation\n",
    "tkl.segmentation(trace, [\"absdv\"], \"speed_decoup\", [1.5])\n",
    "\n",
    "# ------------------------------------------------------------------\n",
    "# + récupération d'un sous-ensemble de traces\n",
    "# + interpolation/lissage + ré-estimation des vitesses...\n",
    "# ------------------------------------------------------------------\n",
    "segmentedTracks = tkl.split(trace, \"speed_decoup\", limit=50)\n",
    "\n",
    "# Affichage\n",
    "COLORS = ['k-','r-','g-','b-','y-','m-','c-']\n",
    "\n",
    "count = 0\n",
    "tkl.SPLINE_PENALIZATION = 1e-2\n",
    "for track in segmentedTracks:\n",
    "    count += 1\n",
    "    track.resample(1, tkl.ALGO_THIN_SPLINES, tkl.MODE_SPATIAL)\n",
    "    track.estimate_speed()\n",
    "    diff = track.getLastObs().timestamp - track.getFirstObs().timestamp\n",
    "    v = round(track.length()/diff*3.6,2)\n",
    "    vm = round(track.operate(tkl.Operator.MAX, \"speed\")*3.6,2)\n",
    "    vc = round(100/(track.getObs(150).timestamp-track.getObs(50).timestamp)*3.6,2)\n",
    "    print(\"Rep\", count, \":  vmoy = \", v, \"km/h   vmax = \", vm, \" km/h   vc = \", vc, \"km/h\")\n",
    "    plt.plot(track.getX(), track.getY(), COLORS[count%7])\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Tags",
  "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
}
