{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1b63f19c-40d1-4166-b617-e3af8ae31c20",
   "metadata": {},
   "source": [
    "# Matching track\n",
    "\n",
    "\n",
    "<br/>\n",
    "<div class=\"alert alert-block alert-info\" style=\"padding:1em\">\n",
    "    \n",
    "```python\n",
    "  collection = tkl.XXXX\n",
    "```\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edf3c01b-451a-4b35-90dd-96d2f8f02695",
   "metadata": {},
   "source": [
    "## As usual, let's start by defining our environment\n",
    "\n",
    "The first task is only useful for the online notebook and import the local tracklib code source. It's not necessary if tracklib is installed from PyPI."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "991b6cdf-52a3-43af-975d-55bc24bbf016",
   "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": "00907da4-29ec-49e6-b130-f2cae9865c05",
   "metadata": {},
   "source": [
    "The following two imports are necessary for the tutorial:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "800b9004-320e-481b-8d61-2ef6c0fd14f0",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import math\n",
    "\n",
    "# Matplotlib to create visualizations\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Import tracklib library\n",
    "import tracklib as tkl"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c5151dc-fde1-48d1-b1e3-b35d144616b7",
   "metadata": {},
   "source": [
    "## Loading a collection of tracks and Profile of difference between two traces\n",
    "\n",
    "with DTW (Dynamic Time Warping) method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0e3aee51-a2e7-4fa5-8686-10817fdb1f94",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1008x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tkl.ObsTime.setReadFormat(\"4Y-2M-2D 2h:2m:2s\")\n",
    "\n",
    "plt.figure(figsize=(14, 5))\n",
    "\n",
    "\n",
    "ax1 = plt.subplot2grid((1, 2), (0, 0))\n",
    "chemin1 = '../../../test/data/compare/dtw1.csv'\n",
    "trace1 = tkl.TrackReader.readFromCsv(chemin1, 0, 1, 2, 3, separator=\",\",read_all=True, h=1)\n",
    "trace1gr = trace1.copy()\n",
    "trace1gr.plot('m-', append=ax1)\n",
    "trace1.plotAsMarkers(type=tkl.MARKERS_TYPE_WARNING, append=ax1)\n",
    "\n",
    "chemin2 = '../../../test/data/compare/dtw2.csv'\n",
    "trace2 = tkl.TrackReader.readFromCsv(chemin2, 0, 1, 2, 3, separator=\",\",read_all=True, h=1)\n",
    "trace2.plot('c-', append=ax1)\n",
    "trace2.plotAsMarkers(bkg='w', frg='c', sym_frg = \" \", sym_bkg = \"v\", append=ax1)\n",
    "\n",
    "ax1.set_title('2 traces à apparier')\n",
    "ax1.set_xlim(-1, 12)\n",
    "plt.ylim([-1, 5.5])\n",
    "\n",
    "# ----\n",
    "\n",
    "ax2 = plt.subplot2grid((1, 2), (0, 1))\n",
    "\n",
    "mode = tkl.MODE_MATCHING_DTW\n",
    "p = 2\n",
    "dim = 2\n",
    "\n",
    "profile = tkl.match(trace1, trace2, mode=mode, p=p, dim=dim, verbose=False, plot=False)\n",
    "tkl.plotMatching(profile, trace2, append=ax2)\n",
    "\n",
    "trace1gr.plot('m-', append=ax2)\n",
    "trace1.plotAsMarkers(type=tkl.MARKERS_TYPE_WARNING, append=ax2)\n",
    "trace2.plot('c-', append=ax2)\n",
    "trace2.plotAsMarkers(bkg='w', frg='c', sym_frg = \" \", sym_bkg = \"v\", append=ax2)\n",
    "\n",
    "# ----\n",
    "\n",
    "plt.xlim([-1, 12])\n",
    "plt.ylim([-1, 5.5])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "452e9c48-f70c-49d1-9886-531b50402c29",
   "metadata": {},
   "source": [
    "## Un cas plus complex"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "6a32383a-0aa3-4e78-a3c6-ad108d5fbfb4",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generated track from 18/05/2028 22:31:24 to 18/05/2028 23:31:24 [100 pts, 2687.54m]\n",
      "Generated track from 28/05/2017 10:29:10 to 28/05/2017 11:29:10 [100 pts, 2514.33m]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 6))\n",
    "\n",
    "\n",
    "tkl.stochastics.seed(122)\n",
    "sentier1 = tkl.synthetics.generate(kernel=tkl.SincKernel(7))\n",
    "sentier1[\"y\"] = lambda track, i : i*2\n",
    "tkl.computeAbsCurv(sentier1)\n",
    "sentier1[\"z\"] = lambda track, i : track[\"abs_curv\", i]*math.atan(10*math.pi/180)\n",
    "sentier1 = sentier1[70:]\n",
    "sentier1.plot('r-', append=True)\n",
    "sentier1.plot('ro', append=True)\n",
    "\n",
    "sentier2 = tkl.synthetics.generate(kernel=tkl.SincKernel(7.2))\n",
    "sentier2[\"y\"] = lambda track, i : i*2\n",
    "tkl.computeAbsCurv(sentier2)\n",
    "sentier2[\"z\"] = lambda track, i : track[\"abs_curv\", i]*math.atan(10*math.pi/180)\n",
    "sentier2 = sentier2[70:]\n",
    "sentier2.plot('g-', append=True)\n",
    "sentier2.plot('go', append=True)\n",
    "\n",
    "\n",
    "t22 = sentier2.extract(9,19)\n",
    "plt.scatter(t22.getX(), t22.getY(), color='limegreen')\n",
    "\n",
    "\n",
    "mode = tkl.MODE_MATCHING_DTW\n",
    "p = 2\n",
    "profile = tkl.match(sentier1, sentier2, mode=mode, p=p,\n",
    "                    dim=2, verbose=False, plot=False)\n",
    "tkl.plotMatching(profile, sentier2, append=True)\n",
    "\n",
    "plt.title(\"\")\n",
    "plt.xlim([-100, 280])\n",
    "#plt.ylim([140, 200])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cc6f453c-88d7-4b0e-9281-3eaee4dfccfc",
   "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
}
