{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8b998da8",
   "metadata": {},
   "source": [
    "# Filtering GPS track\n",
    "\n",
    "<br/>\n",
    "<div class=\"alert alert-block alert-warning\" style=\"padding:1em\">\n",
    "<b>Filtering:</b> this operation altering observation values preserving timestamps and without deleting or creating new observations. Methods are usually \"local\" methods and working with a neighborhood (e.g. kernel).</div>\n",
    "\n",
    "In **tracklib**, filtering approaches available are:\n",
    "\n",
    "* des filtres séquentiels (ou filtres à noyaux), qui travaillent directement dans le domaine spatial ou temporel et avec un noyau local\n",
    "\n",
    "* des filtres dynamiques (qui nécessitent des informations sur la dynamique du mobile) : Kalman et Markov\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96cccedb",
   "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": "6eee14cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import sys\n",
    "\n",
    "#-------------------------------------------------------\n",
    "# Import de tracklib\n",
    "\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 trk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b0bffd82",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import de la librairie tracklib\n",
    "import tracklib as tkl\n",
    "\n",
    "# And others\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae73dee1",
   "metadata": {},
   "source": [
    "## Filtrage par noyau fenetre glissante de taille 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8ecfc075",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Chargement des données\n",
    "csvpath = '../../../data/trace0.gps'\n",
    "        \n",
    "tkl.ObsTime.setPrintFormat(\"2D/2M/4Y 2h:2m:2s.3z\")\n",
    "param = tkl.TrackFormat({\n",
    "    'ext': 'CSV', \n",
    "    'id_E': 2, \n",
    "    'id_N': 3, \n",
    "    'id_U': -1, \n",
    "    'id_T': 1,\n",
    "    'header': 0,\n",
    "    'separator': ','\n",
    "})\n",
    "track = tkl.TrackReader.readFromFile(csvpath, param)%10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d559fc20",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZUAAAEWCAYAAACufwpNAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAABFVElEQVR4nO3dd3hUVfrA8e+bZEJCSEiAAIEAoVcRJCIWFAGB2MDece3YV3ddy+rPsmtbdS27Nty1KxZEFFdULIgFgdBCaFJCCS0BAiF1Jpn398fcaIwBAsxkZpL38zz3YebecybvuUDeOefce66oKsYYY4w/RAQ7AGOMMQ2HJRVjjDF+Y0nFGGOM31hSMcYY4zeWVIwxxviNJRVjjDF+Y0nFmDAgIsNEJDfYcRizP5ZUjDlEIlJUbfOKSGm19xcFKaYLRWS9iBSLyFQRaRGMOEzjY0nFmEOkqs2qNmADcFq1fW9VlRORqPqIR0T6Ai8ClwBtgBLgufr42cZYUjEmQKqGrETkdhHZCrwiIkki8omI5ItIgfM6tVqdFiLyiohsdo5P3ctn3yQiy6rXreYiYJqqzlLVIuAe4EwRiQ9EO42pzpKKMYHVFmgBdAKuxvd/7hXnfUegFPh3tfJvAE2BvkBr4MmaHygi9wB/AE5Q1drmWfoCi6veqOoawA30OOTWGLMf9dIdD2Ui8jJwKpCnqv3qUP5c4D5AgcWqemFgIzRhzgvcq6rlzvtS4IOqgyLyIPCN8zoFyABaqmqBU+Tbap8lIvJPYDBwoqru3svPbAbUPLYbsJ6KCbhGn1SAV/F9U3x9fwVFpDtwJ3CsqhaISOsAx2bCX76qllW9EZGm+HofY4AkZ3e8iEQCHYCd1RJKTYn4ejvn7SOhABQBCTX2JQB7Djx8Yw5Mox/+UtVZwM7q+0Skq4h8JiLzReQ7EenlHLoKeLbqP72q5tVzuCb81FwG/E9AT+AoVU0Ajnf2C7ARaCEiiXv5rAJ8vepXROTYffzMpcDhVW9EpAvQBPj5gKM35gA1+qSyFxOBG1V1EPBnfr1ypgfQQ0R+EJGfRGRM0CI04Soe3xDYLucy33urDqjqFmA68Jwzoe8SkeOrV1bVmfgm4j8UkaP28jPeAk4TkaEiEgc8AExRVeupmICzpFKDiDQDjgHeF5FF+C7NTHEORwHdgWHABcB/9vGt0pjaPAXEAtuBn4DPahy/BPAAK4A84I81P0BVZwCXAR+LyKBaji8FJuBLLnn4Etl1/mqAMfsi9pAuEJE04BNV7SciCcBKVU2ppdwLwE+q+qrz/ivgDlWdV5/xGmNMqLKeSg2qWgjkiMg54LvcRkSqxqenAic6+1vhGw5bG4w4jTEmFDX6pCIik4DZQE/nRrUr8I1ZXyEii/FNeo51in8O7BCRZfguA71NVXcEI25jjAlFNvxljDHGbxp9T8UYY4z/NOqbH1u1aqVpaWnBDsOYWqkqIvLLn7WXgd27lfJywetVQFDld5vXCyIQE6PExQlNm0JELV8pVZXVq1dTWFhIQkIC3bp12+vPNo3X/Pnzt6tqcm3HGvXwV3p6umZmZgY7DGN+x+12M27cOKZPn05GRgZTp04lOjoagD17YPp0+OAD+PRTKCr6ff2oKHC5IDra96fLBRUVkJ//6/H+/WHw4F+3Xr0gIkKJqJZtvF6vJRXzOyIyX1XTaz1mScWSigk9qr/95b5jh5dp04QpU+Dzz6G8HJKTYdw4OOssX1KonkD2lgc2b4Z582DuXN82bx7sdhZ8adYMBg3ysnnzG6xadR8ZGb1/k8yMqWJJZS8sqZhQ5Xa7Of30M/n889a0anU9u3YdQUWFkJoKZ57p2447DiIjD+3neL2wapUvwcyZAz/9BPPn+44de6yXSy6J4JxzoIU94stUY0llLyypmFC1ciWMH+9l7twIunRRzj5bOOssSE+vfS7En9atg7ffhjffhOXLfT2fU06Biy/2/RkT40t6LpcLj8djPZlGaF9Jxa7+MiYI3G43qorb7f7Nfq8XnnwSBgyAVasieOstWL1aePRR3xBXoBMKQFoa3HUXLF0KCxbAjTf6ejBnnw1t28IVV1Ry/PF/JSIignHjxv2uDaZxs6RiTD2rmoSv+Ut57Vo48US49VYYMQKys+HCC/c+PxJoIjBwIDzxBOTmwhdfwNix8O67EcyZ8xiQxfTpnSgrcwUnQBOSbPjLhr9MPas5CV9Z6WXiROHPf/bNkTz1FPzhD8FLJvtTUODm+OOfJTv7eGAQ8fHKpZcK110HvXsHOzpTH2z4y5gQ4vF4yMjIAGDYsEsYNUq59lo4+mhYsgQuuyx0EwpAUlI08+dfT2XlEcya5WHsWGHiROjTx9fDmjLFd/myaZysp2I9FRMEbrebjz5yceWVUFkpPPYYTJgQ2slkX/Ly4L//hRdegA0bIDVVueoquOgiD1272kR+Q2M9FWNCzLRp0Zx/vtCnj5CVBddeG74JBaB1a7jzTt+80PvveygtXci99wrdukUxcqSXt9+GkpJgR2nqgyUVY+rZ55/DBRfAUUfBjBnQpUuwI/KfyEg466woduwYBHQGHmDNGuGiiyAlBa6+GmbP9i0dYxomSyrG1KPvvoMzzoC+fX1LrDRrFuyI/O/XOaN1ZGTMZflyD99847v7/6234JhjfEvCPPyw734cSzANi82p2JyKqSeZmTB8OLRvD99+6xsyaqj2dnPknj0weTK88oovwQK0basMGyYMGwbDhkGPHuE9FNgY2B31e2FJxQRKzV+qS5fCCSdAfLzvl2lqarAjDC63282oUdfw7bdRpKRcCAxjyxZfJmnbll8SzHHH+Xo1B7Mcjd31Hzg2UW9MPap5c+OyZW5GjvQt+Pjll+GTUCq8XnZXVLCpvJyVJSWsLyujuLISf3wRdblcfPvtq8B/2LJlOLm58PPPMHGirzc3a5bvarh+/SA+XjnmGLjhBnj5ZVi0CKpu4t/bygR7u8HUBF7AeioiEgPMAprge27LZFW9t0aZJOBloCtQBlyuqtnOsVuAKwEFlgCXqWqZiAwAXgBigArgOlWd69S5E7gCqARuUtXP9xWj9VRMIPz25sb2dOq0kaIiYdYs370cocDt9fJzSQlLiotZUlxMdnExOWVlFFVW/rKVeb211o2JiCDZ5aKVsyW7XKRER3NEfDxHxsfTLTZ2v8vl72tpf4DycjejRl3HrFnlpKWdSYcOY1m0KII9e3zHo6OhXz8vhYVvs3r13WRk9PnNZ9S8wdSW8PevoAx/ie9vME5Vi0TEBXwP3KyqP1Ur8xhQpKr3i0gv4FlVHSEi7Z3yfVS1VETeAz5V1VdF5AvgSVWdLiInA39R1WEi0geYBAwG2gFfAj1UtXJvMVpSMYHw6y/MTOLi5hMZmcrXXwuDBgUnHq8q8/bs4euCgl+SyMqSEjzO//0oEXrGxtItNpaEqCiaRUSQ4IkgsVhIKBaaFUOsWyiPE7bHeclrWsnWmEryKj1s9/i2TW73L0koKSqKdCfBHBkfz1EJCaQ0afK7uPY1PFVbUlAV1qzxrUe2YAH89JMya5biG3D5kjfeGMFZZwmxsftOWjYsduj2lVQC9uRH9WWrqscHuZytZgbrAzzslF8hImki0qZabLEi4gGaApurPhpIcF43r7Z/LPCOqpYDOSKyGl+Cme3XhhmzH9HR0XzwwVTGjHExbx589ln9J5SSykq+LChg2o4dTNu+nW0eDwCdmjThsGbNOL1pEgM2RJG2Solf4aYkqxj31mIqdlVQubsSraj9y2b1kbvI5pG4klxEtYgitkc8Rf2asLo7/NjZw4+eYh7dsIGqb3RHxcdzXuvWnNu6Ne2dBFP1C722X+xVV5BVJYWqBNC9O3TvDuedB263h9Gjr2bmzI7Exl7LJZcIN9wA11wDf/97NFOnTv1d8thfD8kcuoBO1ItIJDAf6IavF3J7jeMPATGqequIDAZ+BI5S1fkicjPwIFAKfKGqFzl1egOfA4LvK8oxqrpeRP4N/KSqbzrl/gtMV9XJNX7m1cDVAB07dhy0fv36QDXfNGKPPgp33AGvvgqXXlo/P3NLeTmf7NjBtB07mFFQQJnXS0JkJBnNkzhrfRz9FoN3SQlFi4soXVUKzuhWZEIkzfo3o0nHJkQlRhHV3NkSo4hsHklU8ygim0ZSUVhBxc4KPAUeKgoqftk82z0ULyumfEP5L7HEdImh6cBm7O7nYtERwispu1lYXIwAQ5s357zWrTk7OZnW+/iFXpceRVWZ8nIPs2dHM3EivPOOb2HO99+Hli1/W96Gxfwj6Fd/iUgi8CFwY9WcibM/AXgaGIhv3qQXvnmUDcAHwHnALuB9fHMyb4rIM8C3qvqBiJwLXK2qI0XkWWB2jaTyqap+sLe4bPjLBMLChb4bG8eOhffeC+zlsarKlwUFPLNpE//bsQMF0mJiOKNpEqdkRZPyVRkF/9uJJ9/XU4npHEOzw5sRd3gczQY0o9nhzYhJi/HLL1Z3vpuihUXsWbCHogVF7Jm/h7K1Zb6fmxZD5LhEvh8mvNR2F8tLS4kARrVowe0dOnBCYqLffrm/8QZceSV06ACffOK7euyXGK2n4hdBTypOEPcCxar6+F6OC5AD9AdGA2NU9Qrn2HhgiKpeJyK7gURVVafOblVNcCbpUdWHnTqfA/ep6l6HvyypGH8rLYVBg2DXLt/ikDW/KftLSWUlb2zbxjO5uSwrKaG1y8X10W3ImBtJzBdFFMwowFvqJbJ5JC1Pbkmrsa1IGpWEK6l+l6n37PCw/ePt5L+fT8GMArRCiUmLgbHN+XYYPJW8k60eD8c1b87dnToxKinJL8nlxx99N5mWl8PHH8Pxx/96zOZUDl1Q5lREJBnwqOouEYkFRgKP1iiTCJSoqhtfD2WWqhaKyAZgiIg0xTf8NQKo+u2/GTgBmAkMB1Y5+z8G3haRf+KbqO8OzA1U+4ypze23+56W+PnngUko68vKeG7TJl7asoWCigqObBLHe6vb0e39UnbPyKVYoaJjE1KuSKHl2JYkHp9IRHTw7hxwtXSRclkKKZel4NnpYftHToJ5No+jnlamHRXP0gmtuLvHDsZkZXFkfDx3d+rEaS1bHlJyOeYY3yOSR4+Gc86BrCxo48zW7msuxxy6QF791R94DYjEN/fxnqo+ICITAFT1BRE5Gngd3yXAy4ArVLXAqX8/vuGvCmAhcKWqlovIcfiGzKLwXYZ8narOd+r8FbjcqfNHVZ2+rxitp2L86fPPYcwYuPlm3zNR/Cm7qIj71q3jw+3bEeCyPUlc/EUUUe/uwpPvoUlqE9r+oS2tzmpFs8Obhfw8gWenh7xJeWx4bAPl68tp2j+ONRMSuLv/TtZ6yjk8Lo7Hu3ZlZIsWh/Rzli71PYJ56FAv06cLlZXWO/GHkBj+CkWWVIy/bN8Ohx3m653Mmwexsf753G1uN/+Xk8N/tmyhpSeCvy5O5KipHsp+2INECS1Pb0nKlSm0GNUCiQztRFIbr8frSy4Pb6BkRQkx3WPZfG1z7jpyFysryrisbVue6NqVJNfBD9v9+98V3HhjFPAnMjKW2zyKH1hS2QtLKuZQVI3Nu90eLrwwmmnTfAnl8MMP/bNLKyt5MjeXhzdsIHpnJQ9Nb0bvd0rx7q4ktnssKVem0GZ8G5q0/f39H+FIvcr2D7ez/qH1FC0ookmXGOb8uRl/7rWdVtEu/t29O2clJx9UD8zrVSIjpwKnAEfj9WaGfE8u1NkyLcb4WfVlQI488lmmTIEHHzz0hOJV5e1t2+g5dy6PLsrh/16LZsrFEfScWETLUS0YMHMAg1cOpuNfOjaYhAIgEULyWckMyhzEYf87jMjYCAZct52Z98WTvj6Kc5Yt48ylS9lcXr7/D6uhosLDiBGTgHySkl7D49yzYwLDeirWUzEH4df7HToDixk2rBlffikHtfBhle937eLWNWv4eeMebvrQxfAPKqHES+vzWtPpnk7E9YnzV/ghz1vhZctLW8i5J4eKnRXknR/PzecWUdoyghd79uS8A1zi2e1289RTLm6/XcjO9j16wBw866kY42cej4cxYzKAV4iKEl56yXPQCaWoooJrVq7k1JmLGPpkMVMuEoa/4aH16a04cumR9JnUp1ElFICIqAjaX9ueo1YdReotqbR5v4h3xgtXTY3iwiXL+OvatXgP4AtxdHQ0l18uREfDiy8GMHBjScWYgxEdHc348R8BJ/D00zF063ZwE7/f7drFwNnzKHp8C5MvEk6b5KXtuGRfMnm7D3G9G1cyqcmV5KLbE904cumRJB2fyCn/LGfS7S5enb2BcdnZFFZU1PmzWrXyXV782mtQXBzAoBs5G/6y4S9zEMrKoHdv3/NRFi488Od9lFVWcndODjM+zeUvTwntc5RWZ7Si80OdievVuBPJ3qgq297cxqobV+Fxe/nXNcrP58fycf/+dK3j5Xbffw9Dh8J//gNXXBHggBswG/4yxs+efhrWrYN//vPAE8r8PXs4/utMIm7K5embobM3mn7T+tFvSj9LKPsgIrS9pC1HZh9Jy6GJ3PwUXHVjGWM+zeSrgoJ91q167sqRR7rp1w9eeKF+Ym6MLKkYc4C2bfNd6XXqqTByZN3rebxeHsjJ4Z6H5nP3uaVkzIAOf+nAUUsH0+rUVoELuIGJSY2h/2f96fFCDwYuE565tJK/P7OY9/Pyai1f/Uq9M84Yx5VXVpCZCfPn13PgjYQNf9nwlzlA11zjewJhdjb07Fm3OmtLS7nh0yWM+lsJAxZD06Pj6fNiT5od1iywwTZwpWtLyb5wGcVz9vD2hTDmiT6c2fa3V4bVXJl4504vbdoIN98Mjz1W3xE3DDb8ZYyfLFniG4+/7rq6J5Qvduzg/+6cxy0XlNB/XQQ9JvbgyO+PsITiB7FdYhn07UBaXdmWC9+G1WOX8dGqrb8pU/VsFoCMjAzi4jycdBJMngyN+Dt1wFhPxXoqpo5UYdQo37DJ6tWwv2WpVJUnstdRcv16jv8OYk5O5IhX+hDd2pYICYS1z+ey9qbVbGsNie9045Shvz5SrObKxK+8ApdfDpmZBO2JnOHMeirG+MGnn8KXX8K99+4/oRRVVHD9+4tJGbOeY2dDh8c6c9Qnh1tCCaAu16bS+6v+xJcLEaNW89lra385Fh0djYj8subX2LEQFeXrrRj/sqRiTB14PPCnP0GPHr6hr31ZVVzMX+6cw7iLd9GKSAZ9O4Cuf+5k603Vg/bHt+Do+YPY1j2C6Ms28NVTq2ot16IFDBvmZfJkpbzcXc9RNmyWVIzZD7fbzfPPKytX+iZ297Vg7qc5ebx3WibnPu4h6sR4hmcNIfGYxHqL1UByp2ac9t1glh8dSeQtm1jw9zW/K+N2u9m69V+sXi2MGHELbrclFn8J2EO6jGkI3G43Y8b+gW8qHiDu7B1sGdiO/26JQlVR+HVTJS9zN12vy2PINkh8sAOH39EFibDeSTC0bB7DyZ8ewVtnZXLcPRtZVqj0frTrL71Fl8tFdvbfgRv44Ye2uA5haX3zW5ZUjNkHl8vFNx1OhQtzKQYmrPn9t16AobPgrw9CRVIE/b7uR5vjD+3hUubQdW4ex3Hv9mfa5Ys57bFcInZV0vP5Hkik+NZuO3kwn8V9S1TnUygvdxMT03BWfQ4mSyrG7EPm2mI4MxW+LmLYz6/z0ksvEe1yIeDbRNj13Bby71tH7OBmDJzWn+hkm4wPFcNaJrHi2W68Gb+ai1/agreokt5v9CbP66X0b3+DwkIqKOTRmUXcO8aSij/YnIox+3DlN1vA5WXGBcP4/PXX6RYfT8eYGDrExNA+uglld+eSf+s6Wp7ekvSvB1pCCUETUlOJ/r92vHg15E3K4/NLF9N/3jwyi4p4rmsPIrc34Z9bNwQ7zAbDkooxe/HjmjKyOm6mV04KI3s3/c0jaL3lXpZftJyNj2+k3XXt6PdBPyKbHsLDVExAPd2tG1smNOeNSyDmrV388cUIFgwaxLUd2nF6eQcK03bz3He7gx1mg2BJxZi9uOybdQC8PLzTb/Z7dnlYPHoxee/k0eXRLnT/d/ewfD58Y+KKiGBy376s/mMCG8Y34/i3PEQ/mQ/Ai6elILtd3P/z+iBH2TDYnIoxtZixvISfO2/l8Jz2HD0q5pf9ZRvLyMrIovTnUnq/1Zs2F7YJYpTmQLSKjubbI45AX1FWsIJ196wjKiGK1JtSObGgPV93XcfkBUWcfYQtn3MoAtZTEZEYEZkrIotFZKmI3F9LmSQR+VBEspyy/aodu8Wply0ik0Qkxtn/rogscrZ1IrLI2Z8mIqXVjtni1uagXfXDOvBE8GbGr72UoiVFLBiygPKN5fT/rL8llDAlEULP//ak1bhWrL55NVvf3Mp/TmkPJZH8eb7NrRyqQA5/lQPDVfVwYAAwRkSG1ChzF7BIVfsD44GnAUSkPXATkK6q/YBI4HwAVT1PVQeo6gDgA2BKtc9bU3VMVScErmmmIftgYRHru+QxZHMq/dr75lFKVpWweMRiEBj4/UCShicFOUpzKCKiIujzTh8ST0zk56t+JnlbOelb2rG+Sx4zsgtRVbsh8iAFLKmoT5Hz1uVsNVev7AN85ZRfAaSJSNXXvyggVkSigKbA5uoVxXcX07nApMC0wDRWNyzIgdJI3jy1AwDlm8vJGpUFCgO+GmCrCzcQEU0i6DOpD5HNI1l23jJeOC4FKoUz3p1DREQE48aNs8RyEAI6US8ikc7wVB4wQ1Xn1CiyGDjTKTsY6ASkquom4HFgA7AF2K2qX9SoOxTYpqrVF/fpLCILReRbERm6l5iuFpFMEcnMz88/1CaaBuaV2YVs7bqD4fkd6NrahafAQ9boLDzbPRw2/TCa9mwa7BCNH0W3iab3G70pWVZCs39upOf6thQPjYbWA5g+fbrdaX8QAppUVLXSGaZKBQZXnzNxPAIkOYnnRmAhUCEiScBYoDPQDogTkYtr1L2A3/ZStgAdVXUgcCvwtogk1BLTRFVNV9X05OTkQ26jaVhuW56DFLp4Y1wqlSWVLDltCSU/l9D3w74kpP/un5NpAFqc1IKOd3Rky8QtvFjkXJRxxd/JyMjA4/EEN7gwVC+XFKvqLmAmMKbG/kJVvcxJPOOBZCAHGAnkqGq+qnrwzZscU1XPGRI7E3i32meVq+oO5/V8YA3QI3CtMg3Nk19tZ0eXAjIK2tM2LoKl5y6l8MdCer/ZmxYjbdmVhiztgTQShiQQcd8GRs9vAyPjOO+et35zb5Kpm0Be/ZUsIonO61h8iWJFjTKJIlL1t3YlMEtVC/ENew0RkabO3MkIYHm1qiOBFaqaW+PnRTqvuwDdgbUYUwdlZeXctmoFbI+k/N0/sfzy5ez83066P9ud1ue03v8HmLAW4Yqg96TeIHDv5CKidkVyy4r1eL2N9yGGByuQPZUU4BsRyQLm4ZtT+UREJohI1ZVZvYGlIrICyABuBnDmXiYDC4AlTpwTq332+fx+gv54IEtEFjt1J6jqzsA0zTQ098zYTWWvCnjlB7pNTyb/zXzS7k+j/bXtgx2aqSexabH0+m8vyhcU8fe3mlPQeRd/+8J+hRwoe5ywPU640Ssp95I4dR6V5RWc+4fnuEavou21ben5bE97sFYjtOyCZeR/mM+lj0SztU0ku85OJ8Zli49UZ48TNmYfLp+yBU+bUv65rDXX6FW0OrcVPf9tCaWx6vrPrkQ0ieCx16Iob1vC1VO2BjuksGJJxTRqm3dV8F7TdQz4thkDn9lCwtEJ9Hm9jz1cqxFrktKEzg92JnlRMRnvx/JWkxy27q4Idlhhw5KKadQu+HAjiZUeHnu+HFdLF32n9CWiif23aOzaX9ueZoOacet7HmKjPJz7wQa7y76O7H+PabQWbSxndssNPPKXKKILK+n3cT+atLUHNRmQSKHHCz2I2lnBjU/G8F1KLhEtuttd9nVgScU0Whd8lsMtzyk91lTQ67VexA+MD3ZIJoQkpCfQ7rp2jJpZRo/1XjjnfrvLvg4sqZhG6ZMlxfRbsJWMz6HTPZ3sXhRTqy4PdiG6tYs//R1kbCrHn3qJ3WW/H5ZUTKP0r5dXMGEiNMloQdp9acEOx4SoqOZRdHu8Gz02wfDZSsW4e+0u+/2wpGIanRff2MqNL+1hR/tojnzPrvQy+9b6gtY0G9CMqyZGMLflJtZvt57KvlhSMY1K2XY3zW5biScSjv6kD1HN7OGnZt8kQuj8cGfa5Hs5ZaaXyz7ZFOyQQpolFdNoaKXy3ohFtN6h3NtzEdfccaFdyWPqpMXoFjQ/oTl/eEX4KW4juQV238reWFIxjcacm1bRMauEf41Tlsy7xa7kMXUmInR5uAuJhcqZn1dy5TTrreyNJRXTKOS9m0fZc5v5+GTYXDENwJ6XYQ5I86Ob03JsSy58W/gpYiN5hZXBDikkWVIxDV7R4iKWXLqcJf0g64xO/PjuI3i9XqZOnWpX8pgD0uXBLsSWKed/UsEVH22y4dNaWFIxDZp7u5vFY5ewM0558LpYplzUiejoaETEEoo5YHF942h9cTJnfgA/la7j5HHnW2KpwZKKabC8FV6WnbeMkk3l3PMg/LVPTxJi7Z+8OTRd7u8ClZWMn+blKxls83I12P8w02CtvW0tu77exeO3gka15cYTEoMdkmkAIttHkp2axejPoGXGcZSWWU+lOksqpkHa+vpWcp/K5aNRLmYc7eLT07sGOyTTQERHR3Pl51fg8sJZP1Twt68Lgx1SSLGkYhqcwsxCVl69ktw+sfzrNg/Xaje6trYhCuM/Cb0TaHVWMqd/BC9v3GDPsq/GkoppUMo3lZM9NhtaRXP93eUkbkjiX2NtsUjjf2l3diSuFEYs2MMLP+wOdjghw5KKaTAqSypZMnYJlYWV3HZVDIUt4N1julNRYfeiGP+LHxhPs+GJnP0+PJy9IdjhhIyAJRURiRGRuSKyWESWisj9tZRJEpEPRSTLKduv2rFbnHrZIjJJRGKc/e+KyCJnWycii6rVuVNEVovIShEZHai2mdCjXmXFpSsoWlDER9e0Zt4Ju2k9bRsje8fZg5VMwHS9uxMtdsHAVTv5OKs42OGEhED2VMqB4ap6ODAAGCMiQ2qUuQtYpKr9gfHA0wAi0h64CUhX1X5AJHA+gKqep6oDVHUA8AEwxanTxynTFxgDPCcikQFsnwkh6+5dR/7kfHZc354nRm+lzZqW5D17LoAtx2ICJnFYIq6BzThvEtz243p75DABTCrqU+S8dTlbzdmsPsBXTvkVQJqItHGORQGxIhIFNAU2V68oIgKcC0xydo0F3lHVclXNAVYDg/3bKhOKtr21jfV/X0+zi1pz3vH5RO6O5psxXcjIyABsORYTOCJCj7s70X4rtN+YR0Trwxp9zzigcyoiEukMT+UBM1R1To0ii4EznbKDgU5AqqpuAh4HNgBbgN2q+kWNukOBbaq6ynnfHthY7Xius880YLtn72bFFStofkJzxg2toDLRw4vt+9K7fRxTp0615VhMwLUa1wo6x3DBu8DYOxt9zzigSUVVK51hqlRgcPU5E8cjQJKTeG4EFgIVIpKEr+fRGWgHxInIxTXqXsCvvRSA2p609Lvr/ETkahHJFJHM/Pz8g2iVCRVl68vIHpdNTIcYHjkviU09d3JGXleuODoBwJZjMfVCIoSut7en+xoYkNaBESef2ah7xvVy9Zeq7gJm4pvrqL6/UFUvcxLPeCAZyAFGAjmqmq+qHnzzJsdU1XOGxM4E3q32cblAh2rvU6kxZOb8zImqmq6q6cnJyYfeOBMUFXsqWHLqErzlXpbdn8Z73dfTbnUrJl9gnVNT/9qNb0dFfCRjv/SSOv6ZRv1FJpBXfyWLSKLzOhZfolhRo0yiiFSd/SuBWapaiG/Ya4iINHXmTkYAy6tVHQmsUNXcavs+Bs4XkSYi0hnoDswNQNNMkGmlsuyCZRQvLyZxYi+uarKWqIIm/DiuJxH2aGATBJGxkXS6MoXjvocZ+Zsa9c2QgeyppADfiEgWMA/fnMonIjJBRCY4ZXoDS0VkBZAB3AzgzL1MBhYAS5w4J1b77PP57dAXqroUeA9YBnwGXK+q9sCDBkZVWXXTKnb+byddn+rGiD1bqIx380qnvnRq1XjHsU3wtb+2HVGVMGJBCS/+0HiXbhHVxptR09PTNTMzM9hhmAOw7v51rLtvHR1u68AN/Vx81nEt52zpzns27GVCwLwRi1i3eBe3PdiKddfUnEJuOERkvqqm13bM7qg3YWPT85tYd9862v6hLW8Nb85n7deSujqZ189oFezQjAGg802pJO+ADlu2s2BDebDDCQpLKiYs5L2fx6rrV9Hy1JZ8fnEb7pVlRKxzkXvzcM4884xGfV+ACR0tTmkBKdGMnQZ//Op31wk1CpZUTMgr+LqA5RcvJ+GYBObf2oE/lmcTvTMG75/GQ0leo78vwISOiKgIOl/fnvQFsK5kE7tLKhvdFx5LKiak7Zm/h+yx2TTt0ZR1D3bh8qJsoopdzEzvTcYxPQG7Y96ElrZXtMUbCafNrCBx7N8a3R32NlFvE/Uhq2RVCQuPXUhE0wiKXu3NmF1LwSt8028gx/eIxe1243K58Hg8jfq+ABN6ss9bSs4n+ZzzIJTfciJerxff3RENg03Um7BTvrmcrFFZoOD9Ty8ydixHI+Cj7odzfI9YwO6YN6GrzdWtiS+B4ZthwJl3NKqetCUVE3I8Oz1kjcnCne8m9pVenLjjZypjKnirXX9OPSwu2OEZs1+thrcislsMYz4F75jLGtUXH0sqJqS4t7lZNGwRJStLaPlKb47dvRZPQjkvNO/PBenxwQ7PmDoRETpd2Y7+S2Gndxu7ShrPfdiWVEzIKNtYxsLjF1K6ppQ2b/fhqNINlCWX8I/ow7jmuObBDs+YA9LmkjZoBIz6vpJ7Pt8e7HDqjSUVExJK15SycOhC3FvdeF/qxeHuHIrbFXGXpw83D7UhLxN+mrRrQotRLRg9HSbtbDz3rFhSMUFXvKyYhUMXUrmnklVPdGV4s1V4mrnp9d+feOjU1o3ukkzTcKRc1pbWOyCtYDdfrywNdjj1wpKKCao9C/aw6IRFoPDR3R24ouMqokqi+KzrQFa8cwdgjwM24avl6S2heSQZn8I9P2wJdjj1wpKKCZrds3ezaPgiIppG8PBNLXl8YA6Jm5qzfPgRDOvmsscBm7AXGRNJu4vaMPR7WBK9hTKPN9ghBVydk4qIJIlIXxHpIiKWjMwhKfi6gMUnLSayVTQTrmvKJ0dvodfqFDZd2J+urV1ER0fb44BNg9D2srZEe2DYAg/3Tc9DVRv0cO4+k4OINBeRu0RkCfAT8CK+Z5asF5H3ReTE+gjSNCzbP95O1slZkNqEc28Wso4s4PTcriy9vAdNm/z6T9JubjQNQfygeGL7NGXM/4Qnf/6ZiIiIBj1PuL8ex2RgIzBUVXuq6nHOo3g74Hu+/FgRuSLgUZoGQVXZ+NRGssdlU941lrF3VrCpWxl3l/Xjo4s72FMbTYMkIrS7PIU+PyttW3ihRa8GPU8Yta+DqnrSPo7NB+b7PSLTIHkrvKy+eTWbn9tMzuA4rr2rhIqKaN5q0ZcLj0oMdnjGBFTri1qz+vY1jP4SXjrxOjJKpjfYNesOZE6lv4icLiJnVm2BDMw0HBWFFWSfns3m5zbzyehYrni4GG9OBJVXXcqb91/YYIcBjKnSpG0TWo5qwfAZQtxpRzfoecJ99lSqiMjLQH9gKVB1+YICUwIUl2kgyjaUseTUJRQtK+bJa6KYdnYZp2zqwv9u7QzqZfr0VQ12GMCY6pLPTabt9J10KCniu7UVjOjViJMKMERV+wQ0EtPgFGYWsuS0bPbs9nD3Q7A4LYpXm/XngvNiGDdpNNOnT//lcuGG+q3NmCqtxrZipetnhs1UHorNY0SvtGCHFBB1TSqzRaSPqi4LaDSmwcj/MJ+lFy4nL065/VmFytbknNSD1CTfP7mpU6fas1BMo+JKctFiVBLDvyzg5bHb8Ho7NciLU+o6p/IavsSyUkSyRGSJiGTtq4KIxIjIXBFZLCJLReT+WsokiciHzmfOFZF+1Y7d4tTLFpFJIhJT7diNTixLReQfzr40ESkVkUXO9kId22b8SFXZ8NgGss9ayrKOXiY8AyPje7Hm8t6/JBSwy4VN49T63NYk71S67irl/QVFwQ4nIOraU3kZuARYwq9zKvtTDgxX1SIRcQHfi8h0Vf2pWpm7gEWqeoaI9AKeBUaISHvgJqCPqpaKyHvA+cCrzr0xY4H+qlouIq2rfd4aVR1Qx/iMn1UUVZD1h5UUfpDPtyfAU+PjeHdAX0b3aRrs0IwJCa3GtoJo4cSvlSea5HFeA3ycQ117KhtU9WNVzVHV9VXbviqoT1UqdjlbzWcX9wG+csqvANJEpI1zLAqIFZEooClQtczntcAjqlru1MurYxtMABUvK+arvvMomJLPS1fCA322ceTkhzixW12/txjT8EU1j6LlmBac+HUECxO2UVHZ8B7nXtekskJE3haRCw7kkmIRiRSRRUAeMENV59Qoshg40yk7GOgEpKrqJuBxYAOwBditql84dXoAQ0Vkjoh8KyJHVvu8ziKy0Nk/dC8xXS0imSKSmZ+fX8fmm33JeXUL3x+RSXFhOXfc4+LteS+jz5/Pl9On2pVdxtTQ+tzWtCrw0nObm+e/3x3scPyurkklFt9w1ijgNGc7dX+VVLXSGY5KBQZXnzNxPAIkOYnnRmAhUCEiSfiGuDoD7YA4EbnYqRMFJAFDgNuA90RE8CWfjqo6ELgVeFtEEmqJaaKzKkB6cnJyHZtvauMt9/LxWdmsv2wlK3soj/+1DR/ccAQZ7XwPJLKFII35vZantUSaCMO+hOd/3trg1gKr09iEql52KD9EVXeJyExgDJBdbX8hcBmAkxhynG00kKOq+c6xKcAxwJtALjBFVRWYKyJeoJVTtmpIbL6IrMHXq8k8lNjNb7ndblwuF1uyC/l67FJSc9y8d1okna7rw49jWgJ2ZZcx+xKVEEXLjJaMmLmT5/6QR0T0EWScNKzB3BC5vwUl7xaRFvs4PlxEau2xiEiyiCQ6r2OBkcCKGmUSRaTqLF4JzHISzQZgiIg0dZLNCGC5U24qMNyp3wOIBrY7Py/S2d8F6A6s3Vf7zIFxu92MGzeOIe1vIvPohSTmuXn+2kTuePVobncSCtiVXcbsT/K5ySTt8tJ3oxcGXNKg1gLbX09lCTBNRMqABUA+EIPvF/YA4Evgob3UTQFec37RRwDvqeonIjIBQFVfAHoDr4tIJbAMuMI5NkdEJjs/swLfsNhE53NfBl4WkWzADVyqqioixwMPiEgFUAlMUNWdB3Q2zD5VVETSNvcq/rw1iZyOkH93d969sn2wwzIm7LQ8tSUSG8HoT71kH30SGckbG0zPXnyjSPspJNIdOBZfoijF12uYpaph/XzM9PR0zcy00bG6mDF9J2tvyKbnWi/T+3uY3+4tPv1oYoP4T2BMMKy4bAU5k7Zyzn+i2X72IGJimgQ7pDoTkfmqml7bsbrOqawCVvk1KhMWKiu9PDRhBelv5JHigjm3pvDI4z3weE6whGLMIUi5OoWtr27lhMVuPurl5rz08Ekq+2JPcDR7tSSriCcHzWbof/L4uWsUbb88gtuf6GnzJcb4QcKQBCJ7xnLqNHgxe0eww/EbSyqmVk/ft5bVQzPpv8zDrItbcd2iYxh81O+u0DbGHCQRofN17em9EvJztwU7HL+xpGIA35VdqsqG9UX87YS5HH7/BnYmRlD6dl/+741+uFz2T8UYf2tzcRsqXMKIzFLmrSsLdjh+sc85FRH5v30cVlX9m5/jMUFQdalwzrI07io/l2O3wcwx8fxx0uEkJtoyK8YEiquFCx3dgpFf7uCZb/N5I61DsEM6ZPv7+llcy6b4Lv29PbChmfoSERGJK/c8/pV7Lq4KWPPPrtw3fZAlFGPqwaA/pdKsGMq+3RrsUPxif8+of6LqtYjEAzcDlwPvAE/srZ4JHzt3enju9PncsqQTP/X0MrPTW3x83fPBDsuYRiPphETy2kZxwk/FbN5VQbsw/zK334FyEWkhIn8HsvAloSNU9XZbHTj8zZm9m8npsznuhzK+OS2BW7NO4ONpz9uVXcbUIxGh4ozW9FsOL76WG/Zrge1vmZbHgHnAHuAwVb1PVQvqJTITUC//K5dNGQtJ3eplwV0duP/jI4iOjrSEYkwQnHZPJ9xRUPhODhEREYwbNy5sE8v+eip/wrdK8N3AZhEpdLY9IlIY+PCMv1Rd3VVaWsYDly2l4y2rKW4q6KR+3Ppg12CHZ0yjFp/ShEUDmnDCMkGIDOu1wPY3p2LXkTYAVVd3fTnjJ27r9wEnLRIyD3dx9tRBpKXF7P8DjDEB5z4ykcTMbaS1P49e/QvCdi0wSxqNgMvlInNOMc+0n8JJi4RvTm/OzfOOtoRiTAgZdl47AC4dfkdYL4NvSaUR+OiDbTyn99MhD54Ztp6/vt/XbmY0JsQcd0JztrQWmi7ZE7YJBSypNHgfvLUNrliBKFS81pd3Pr8grP/BGtOQrekeQ8/Vbjweb7BDOWiWVBqwNyZuJvqa5bijIeHt/ow9J9kSijEhLOqIRBKK4OP38oMdykGzpNJA/eepjbS6+WcK44V2kwdyUsZeH+BpjAkRw85vC0D2p+F7G6AllQboXw/k0OH2NWxrJfSedgTHndA82CEZY+pgyDHN2dRWiFsavndsWFJpYJ64cw29/raeDe0iOOqzdI5Ijw92SMaYA5DTPYZeqz2Ul4fnvIollQag6sbGh25cwYB/bGR1WiQnfTOY3n3jgh2aMeYARQ1KolkxTH0nPIfALKmEuaobG8ce/hrH/Hsr2T2jOGPWUXYPijFhauSFKQAs/8ySigkCl8sFG8/k1iVp/NjTy8XfHUXbFLvCy5hwlX5kPBtThPhle8JyccmAJRURiRGRuSKyWESWisj9tZRJEpEPRSTLKduv2rFbnHrZIjJJRGKqHbtRRFY6x/9Rbf+dIrLaOTY6UG0LJU/fv5Y/LevG3B7KrLR/Ex+vwQ7JGHOIcrrH0GuVh6jI2LBbXDKQPZVyYLiqHg4MAMaIyJAaZe4CFqlqf2A88DSAiLQHbgLSVbUfEAmc7xw7ERgL9FfVvsDjzv4+Tpm+wBjgORGJDGD7gu6dV7fQ85GNrO0YwQUzhvDxx+/YfSjGNACuAYnElUJau3PCbnHJgCUV9Sly3rqcrebX6D7AV075FUCaiLRxjkUBsSISBTQFNjv7rwUeUdVyp17VwONY4B1VLVfVHGA1MNj/LQsNM78qIPqPK9mVIBz5wUA6dIy1hGJMA3HYiYkA9GoxjIyMDDweT3ADOgABnVMRkUgRWQTkATNUdU6NIouBM52yg4FOQKqqbsLXA9kAbAF2q+oXTp0ewFARmSMi34rIkc7+9sDGap+d6+yrGdPVIpIpIpn5+eF51+rS7GJyL84i0gtJL/djwBF22bAxDcnoU5IpagpDkg4Lu8UlA5pUVLVSVQcAqcDg6nMmjkeAJCfx3AgsBCpEJAlfz6Mzvue5xInIxU6dKCAJGALcBrwnIgJIbSHUEtNEVU1X1fTk5ORDbWK9y9vm5rtx80neqex6tDtjTm0Z7JCMMX7mckWwtlMUbTeUhVVCgXq6+ktVdwEz8c11VN9fqKqXOYlnPJAM5AAjgRxVzVdVDzAFOMaplgtMcYbX5gJeoJWzv0O1j0/l1yGzBqG0tJLXx8yjx1ovS//cgUuv/V1HzBjTQOzs3JTOG73s3Bk+Q18Q2Ku/kkUk0Xkdiy9RrKhRJlFEqtLwlcAsVS3EN+w1RESaOr2QEcByp9xUYLhTvwcQDWwHPgbOF5EmItIZ6A7MDVT76pPb7aaiopLHxmSSvsjD95cm29MajWng4vs3J6oSPp2yPdihHJBA9lRSgG9EJAvfc+5nqOonIjJBRCY4ZXoDS0VkBZAB3AzgzL1MBhYAS5w4Jzp1Xga6iEg28A5wqdNrWQq8BywDPgOuV9XKALavXlTd3PiH9KkcP6uUbzLi+b9X+gY7LGNMgB1zaisA1n6/I8iRHBhRbbz3NaSnp2tmZmaww9gnVWX0YS9w19LefNG3ggcWnUhUVIO+UtoYA1RWevmo1SyW947hrz/WvBsjuERkvqqm13bM7qgPcc/9Yx1/WdGbBd2UBanP4fWGfefLGFMHkZER5HR0kbqhPNihHBBLKiHso8n5dHpgPRtThDO+sJsbjWls9nSJo8NmJXdjWbBDqTNLKiFq7pxCyicspSwGer0zgM6d7eZGYxqbloMSiVD47IPwuafOkkoIyt1YxpJzF9GsBOSZ3hx9rD1ky5jGaOQZvnvpNs7eGTaLS1pSCTFFRRW8f3Imablecu7uzFkXtdl/JWNMg9S7bxxbkoWI5QVERESExeKSllRCSGWll6cy5jMwu4LZV7bh+rs6BTskY0yQ5baPopNzVXE4LC5pSSWE/O3cLI77vpSZpzbn7hd7BzscY0wIKEqNpcNWcEU1D4vFJS2phIiHblzBsCm7+HFIDPdMPTzY4RhjQkRcz3givfD2qyvDYnFJSyoh4PUXcznyha0s6KbMav4PKisrgh2SMSZE9Dk2CYDVc3eFfEIB34q/Joh27apA/7aGguZw75ZrKFq9KuTHTI0x9WfYSYnMjoKyn4v2XzgEWE8lyJ66OItOm5RJ/VdTVLwqLMZMjTH1p1mzKDa2iyAhNzxugLSeShC9+9pWhk4v5IdjYnn3s/G4XFfg8XjCootrjKk/21JcdF0THsu1WE8lSAoLKyi5ZyUFzeG8V/sTHR2NiFhCMcb8TnnHprTeDmvXlAY7lP2ypBIk/xy/hM4blU03dqRb99hgh2OMCWEt+iUAMOvznUGOZP8sqQTBlEl5HPfJbmYf1YSb7+8S7HCMMSHuiBNaALBx/q7gBlIHllTqWVFRBTvvXEFhPJzxit2PYozZv6OPi6eoKejaYlumxfzW45cupdt6LzkTOtCrd9Ngh2OMCQOVlRWsays031gS8ut/WVKpR9M+2M4x0wqYk96EPz1sz5g3xtSNy+UiJ66MtLzQX//Lkko92b27jC23LaMkFk59pX+wwzHGhBGPx8POBDfN98DokyaE9L1sllTqgdvt5taTv6JHjpe3Bm6me4/Q/ZZhjAk90dHRHDGmLwBnZtwR0rceBCypiEiMiMwVkcUislRE7q+lTJKIfCgiWU7ZftWO3eLUyxaRSSIS4+y/T0Q2icgiZzvZ2Z8mIqXV9r8QqLYdKJfLxfxt3/F+/xImf3tRSHddjTGhaeDQlgBsW1oc5Ej2LZA9lXJguKoeDgwAxojIkBpl7gIWqWp/YDzwNICItAduAtJVtR8QCZxfrd6TqjrA2T6ttn9Ntf0TAtOsA+fxeGjXI4vnsk6xZViMMQflqGPiKW0C3vUlwQ5lnwK2TIuqKlC1AprL2bRGsT7Aw075FU5vo+pRh1FArIh4gKbA5kDFGmjR0dFMnToVl8tly7AYYw6KyxVBbkoECVtDew2wgM6piEikiCwC8oAZqjqnRpHFwJlO2cFAJyBVVTcBjwMbgC3AblX9olq9G5whs5dFJKna/s4islBEvhWRoXuJ6WoRyRSRzPz8fL+0sy5sGRZjzKHa3tpFu62h/WiMgCYVVa1U1QFAKjC4+pyJ4xEgyUk8NwILgQonUYwFOgPtgDgRudip8zzQFd+Q2hbgCWf/FqCjqg4EbgXeFpGEWmKaqKrpqpqenJzst7YaY0yglafG0mY7bN3SyO9TUdVdwExgTI39hap6mZN4xgPJQA4wEshR1XxV9QBTgGOcOtucZOUFXgIGO/vLVXWH83o+sAboEfjWGWNM/YjvEQ/ArC8LghzJ3gXy6q9kEUl0XsfiSxQrapRJFJGq8aArgVmqWohv2GuIiDQVEQFGAMudOinVPuIMILvaz4t0XncBugNrA9Q8Y4ypdz3SmwOwdv7uIEeyd4F8nkoK8Jrziz4CeE9VPxGRCQCq+gLQG3hdRCqBZcAVzrE5IjIZWABU4BsWm+h87j9EZAC+Sf91wDXO/uOBB0SkAqgEJqhq6C/paYwxdXTCSYnMi4CyNaF7WbH4LtJqnNLT0zUzMzPYYRhjTJ290e5btqS4+OPs9KBd+CMi81U1vbZjdke9McaECbfbTW6S0nqrO2QXlrSkYowxYcLlcrHeVUS7fPhs+hchuTqHJRVjjAkTHo+HkvgKoj0w6qRrQ3J1DksqxhgTJqKjoxk43He73/ln/CUkb6a2pGKMMWGkW/9EAPJWlwY3kL2wpGKMMWFk0BDfDZAluaG5BpglFWOMCSPt2jdhdzxEbrOkYowxxg/yWkYQtyP0JunBkooxxoSdghZRtCwIzdWKLakYY0yYKW0ZTevtSmWlN9ih/I4lFWOMCTdtY4gthxXLQ+8KMEsqxhgTZpqnNQVgSWZhkCP5PUsqxhgTZjr2bgZA7vLikFv/y5KKMcaEmb4DYwCY99n8kFtY0pKKMcaEmR4949mZCGneFkyfPj2kFpa0pGKMMWHG4/Gwui302OUiIyMjpBaWtKRijDFhJjo6muKuCaRthpdfnhxSC0taUjHGmDCUcFhzIr0w87PQel69JRVjjAlD6SNbALDqh4IgR/JbllSMMSYMHTesOXvigJ+Lgh3Kb1hSMcaYMBQZGcG6DlG02RhaqxUHLKmISIyIzBWRxSKyVETur6VMkoh8KCJZTtl+1Y7d4tTLFpFJIhLj7L9PRDaJyCJnO7lanTtFZLWIrBSR0YFqmzHGhIIdHWNIy/VSVBQ6i0sGsqdSDgxX1cOBAcAYERlSo8xdwCJV7Q+MB54GEJH2wE1Auqr2AyKB86vVe1JVBzjbp06dPk6ZvsAY4DkRiQxY64wxJshi+iQQ7YEvP90Z7FB+EbCkoj5Vg30uZ9MaxfoAXznlVwBpItLGORYFxIpIFNAU2LyfHzkWeEdVy1U1B1gNDD70lhhjTGg6/ETfZP2yWaEzWR/QORURiRSRRUAeMENV59Qoshg40yk7GOgEpKrqJuBxYAOwBditql9Uq3eDM2T2sogkOfvaAxurlcl19tWM6WoRyRSRzPz8/ENvpDHGBMnw0S0obQKeFaGzsGRAk4qqVqrqACAVGFx9zsTxCJDkJJ4bgYVAhZMoxgKdgXZAnIhc7NR5HuiKb0htC/CEs19qC6GWmCaqarqqpicnJx9C64wxJriaNIlgXYdIWm0sC5n1v+rl6i9V3QXMxDfXUX1/oape5iSe8UAykAOMBHJUNV9VPcAU4BinzjYnWXmBl/h1iCsX6FDt41PZ/5CZMcaELbfbzZpEN503VnL66WeERGIJ5NVfySKS6LyOxZcoVtQokygiVesLXAnMUtVCfMNeQ0SkqYgIMAJY7tRJqfYRZwDZzuuPgfNFpImIdAa6A3MD0jhjjAkBLpeL6ds/4tlua/jqy+9CYmHJqAB+dgrwmnMFVgTwnqp+IiITAFT1BaA38LqIVALLgCucY3NEZDKwAKjANyw20fncf4jIAHxDW+uAa5w6S0XkPedzKoDrVbUygO0zxpig8ng8dOq9mk+n/+uXhSWDvQ6YqP5u2qHRSE9P18zMzGCHYYwxB83tduNyueo1oYjIfFVNr+1YIHsqxhhjAqwqkQS7h1LFlmkxxhjjN5ZUjDHG+I0lFWOMMX5jScUYY4zfWFIxxhjjN5ZUjDHG+I0lFWOMMX5jScUYY4zfWFIxxhjjN5ZUjDHG+I0lFWOMMX5jScUYY4zfWFIxxhjjN5ZUjDHG+E2jfp6KiOQD6/30ca2A7X76rHDV2M+Btb9xtx8azznopKrJtR1o1EnFn0Qkc28PrWksGvs5sPY37vaDnQOw4S9jjDF+ZEnFGGOM31hS8Z+JwQ4gBDT2c2DtN43+HNicijHGGL+xnooxxhi/saRijDHGbyypACISKSILReQT5/05IrJURLwi8rvLA0Wko4gUicifq+0bJCJLRGS1iDwjIuLsbyIi7zr754hIWrU6l4rIKme7tB6aulcHcg5EpL+IzHaOLxGRGGd/2J6DurZfRFwi8prTzuUicme1Y2HbfieWmufgMRFZISJZIvKhiCRWK3un056VIjK62v6wPQd1bb+InCQi8512zheR4dU+I2zb7zeq2ug34FbgbeAT531voCcwE0ivpfwHwPvAn6vtmwscDQgwHchw9l8HvOC8Ph9413ndAljr/JnkvE4K9XMARAFZwOHO+5ZAZLifgwNo/4XAO87rpsA6IC3c27+XczAKiHJePwo86rzuAywGmgCdgTUN9N/A3to/EGjnvO4HbKr2GWHbfn9tjb6nIiKpwCnAf6r2qepyVV25l/Lj8P3FL622LwVIUNXZ6vuX8jowzjk8FnjNeT0ZGOF8exkNzFDVnapaAMwAxvixaXV2gOdgFJClqoudcjtUtTKcz8EBtl+BOBGJAmIBN1AYzu2HvZ6DL1S1wnn7E5DqvB6LL7GWq2oOsBoYHM7n4EDar6oLVXWzs38pEOP0RMK2/f7U6JMK8BTwF8C7v4IiEgfcDtxf41B7ILfa+1xnX9WxjQDOP9Dd+L7d/7K/ljr17SnqeA6AHoCKyOciskBE/uLsD+dz8BR1b/9koBjYAmwAHlfVnYR3+2H/5+ByfN+8Ye9xh/M5eIq6t7+6s4CFqlpOeLffbxp1UhGRU4E8VZ1fxyr3A0+qalHNj6qlrO7n2L7q1JuDOAdRwHHARc6fZ4jICML0HBxE+wcDlUA7fEM/fxKRLoRp+2H/50BE/gpUAG9V7aql2P7aE7Ln4CDaX7W/L75hsWuqdtVSPeTb72+NOqkAxwKni8g64B1guIi8uY/yRwH/cMr/EbhLRG7A9+0itVq5VKCqe5wLdABwhkyaAzur76+lTn060HOQC3yrqttVtQT4FDiC8D0HB9r+C4HPVNWjqnnAD0A64dt+2Mc5cCaOTwUucoZ0YO9xh+s5OND2Vw2XfQiMV9U1zu5wbb9/BXtSJ1Q2YBjOBF21fTOpZaLeOXYfv52onwcM4dcJupOd/dfz2wm695zXLYAcfJNzSc7rFqF+DpxYF+CbpI4CvgROaQjnoI7tvx14xWljHLAM6N8Q2l/zHOAb218GJNco05ffTtSv5deJ+rA+B3Vsf6LT/rNqqR/W7ffLOQx2AKGy1fjHdAa+bxDlwDbg81rK38dvk0o6kI3vSph/8+tqBTH4rhRbje/KkC7V6lzu7F8NXBYu5wC4GN8EZTbwj4ZyDurSfqCZ05alzi+c2xpK+2s5B6vxjfcvcrYXqpX7q9POlThXODWEc1CX9gN345tXW1Rta90Q2u+PzZZpMcYY4zeNfU7FGGOMH1lSMcYY4zeWVIwxxviNJRVjjDF+Y0nFGGOM31hSMaYeiEiliCyqtt2xl3JPicjxB/C5ySLymf8iNebQRAU7AGMaiVJVHbCvAiLSAhiiqn+s64eqar6IbBGRY1X1h0OM0ZhDZj0VY0LH2cAvvQ4RWSciD4nv2TWZInKEs5DnGhGZUK3eVHxrsRkTdJZUjKkfsTWGv86rpcyxQM1FDTeq6tHAd8Cr+BLPEOCBamUygaEBiNmYA2bDX8bUj/0OfwEpQH6NfR87fy4BmqnqHmCPiJSJSKKq7gLy8K2abEzQWU/FmNBRim+NqOrKnT+91V5Xva/6Uhjj1DUm6CypGBM6lgPdDqJeD3yLGBoTdJZUjKkfNedUHqmlzP/wrZJ7oE506hoTdLZKsTEhRES+B0515krqWmcWMFZ9zzg3JqgsqRgTQkTkKHyT+ll1LJ8MHKuqUwMamDF1ZEnFGGOM39icijHGGL+xpGKMMcZvLKkYY4zxG0sqxhhj/MaSijHGGL/5fxqeBugB+zBiAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "track.plot('kx')\n",
    "plt.ylim([3986100, 3986800])\n",
    "\n",
    "# Filtrage par noyau fenetre glissante de taille 5\n",
    "track1 = tkl.filter_seq(track, kernel=5, dim=tkl.FILTER_XY)\n",
    "track1.plot('b-')\n",
    "\n",
    "# Filtrage par noyau gaussien\n",
    "track2 = tkl.filter_seq(track, kernel=tkl.GaussianKernel(5), dim=tkl.FILTER_XY)\n",
    "track2.plot('c-')\n",
    "\n",
    "# Filtrage par noyau triangulaire\n",
    "track3 = tkl.filter_seq(track, kernel=tkl.TriangularKernel(5), dim=tkl.FILTER_XY)\n",
    "track3.plot('m-')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7231168b",
   "metadata": {},
   "source": [
    "## Application à la détection des lacets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "eb45d7ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x76f9ac35e8f0>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tkl.ObsTime.setReadFormat(\"4Y-2M-2D 2h:2m:2s\")\n",
    "trackpath = '../../../cotation/balcon/data/cedera_l93.csv'\n",
    "param = tkl.TrackFormat({\n",
    "    'ext': 'CSV', \n",
    "    'id_E': 0, \n",
    "    'id_N': 1, \n",
    "    'id_U': 2, \n",
    "    'id_T': -1, \n",
    "    'separator': ';', \n",
    "    'header': 1\n",
    "})\n",
    "track = tkl.TrackReader.readFromFile(trackpath, param)\n",
    "\n",
    "# 1010\n",
    "trace2 = track.extract(750, 950)\n",
    "trace = tkl.simplify(trace2, 5, tkl.MODE_SIMPLIFY_DOUGLAS_PEUCKER)\n",
    "track_init = trace.copy()\n",
    "\n",
    "# Fourier\n",
    "track2 = tkl.filter_freq(trace, 0.5, \n",
    "                         mode=tkl.FILTER_SPATIAL, dim=tkl.FILTER_XY,\n",
    "                         type=tkl.FILTER_LOW_PASS)\n",
    "\n",
    "plt.plot(trace2.getX(), trace2.getY(), 'b-')\n",
    "plt.plot(trace.getX(), trace.getY(), 'm-')\n",
    "plt.plot(track2.getX(), track2.getY(), color=\"royalblue\",  linestyle='--',)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7f4fa867",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[38;2;0;255;0m100%\u001b[39m \u001b[38;2;0;255;0m(63 of 63)\u001b[39m |########################| Elapsed Time: 0:00:00 Time:  0:00:00\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 6))\n",
    "profile = tkl.match(trace, track2, mode=tkl.MODE_MATCHING_DTW)\n",
    "tkl.plotMatching(profile, track2, append=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3f374488",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x76f9ac14cc40>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(profile.getAnalyticalFeature(\"diff\")[10:-10], 'k-')\n",
    "profile_filtered = tkl.filter_freq(profile, 1.0/20, dim=[\"diff\"], mode=tkl.FILTER_SPATIAL)\n",
    "tab = profile_filtered.getAnalyticalFeature(\"diff\")[10:-10]\n",
    "plt.plot(tab, 'r-')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8d6b5d63",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "nb virages =  1\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": [
    "seuil = 5.0\n",
    "VIRAGES = []\n",
    "xmin = -1\n",
    "xmax = -1\n",
    "for i in range(len(tab)):\n",
    "    val = tab[i]\n",
    "    if val > seuil:\n",
    "        # print (xmin)\n",
    "        # Est-ce que c'est la première valeur ?\n",
    "        if xmin < 0:\n",
    "            xmin = i\n",
    "    else:\n",
    "        # Est-ce qu'on était dans un virage ?\n",
    "        if xmin > 0:\n",
    "            xmax = i\n",
    "                \n",
    "    if xmin > 0 and xmax > 0:\n",
    "        VIRAGES.append([xmin, xmax])\n",
    "        xmin = -1\n",
    "        xmax = -1\n",
    "\n",
    "if xmin >= 0:\n",
    "    xmax = len(tab)-1\n",
    "    VIRAGES.append([xmin, xmax])\n",
    "\n",
    "print ('nb virages = ', len(VIRAGES))\n",
    "\n",
    "\n",
    "plt.plot(track_init.getX(), track_init.getY(), 'b-')\n",
    "\n",
    "for cpt, lacet in enumerate(VIRAGES):\n",
    "    virages1 = trace.extract(lacet[0], lacet[1])\n",
    "    plt.plot(virages1.getX(), virages1.getY(), '-', color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c75e9c4",
   "metadata": {},
   "source": [
    "### Overview"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "68156b12",
   "metadata": {
    "tags": [
     "nbsphinx-thumbnail"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 720x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 4))\n",
    "\n",
    "ax1 = plt.subplot2grid((1, 3), (0, 0))\n",
    "ax1.plot(trace2.getX(), trace2.getY(), 'b-')\n",
    "ax1.plot(trace.getX(), trace.getY(), 'm-')\n",
    "ax1.plot(track2.getX(), track2.getY(), color=\"royalblue\",  linestyle='--')\n",
    "\n",
    "ax2 = plt.subplot2grid((1, 3), (0, 1))\n",
    "ax2.plot(profile.getAnalyticalFeature(\"diff\")[10:-10], 'k-')\n",
    "ax2.plot(tab, 'r-')\n",
    "\n",
    "ax3 = plt.subplot2grid((1, 3), (0, 2))\n",
    "ax3.plot(track_init.getX(), track_init.getY(), 'b-')\n",
    "for cpt, lacet in enumerate(VIRAGES):\n",
    "    virages = trace.extract(lacet[0], lacet[1])\n",
    "    ax3.plot(virages.getX(), virages1.getY(), '-', color='red')"
   ]
  }
 ],
 "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
}
