{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3e048b8e",
   "metadata": {},
   "source": [
    "# Timing methods\n",
    "\n",
    "This notebook demonstrates some of the \"quick-look\" timing analyses available in `opticam`.\n",
    "\n",
    "## Preface\n",
    "\n",
    "`stingray` is designed primarily for analysing X-ray data, and so is perhaps not ideal for OPTICAM data products. That said, `stingray` provides a number of useful routines that can (mostly) be applied to arbitrary time series, provided some care is taken.\n",
    "\n",
    "## Generating and Reducing Data\n",
    "\n",
    "Before we can explore the different timing analyses provided in `opticam`, we need some light curves to analyse. For this example, I'll quickly generate and reduce some gappy observations (see the [Reduction Tutorial](reduction.ipynb) for more details on data reduction):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e1dfb3b9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] variable source is at (65, 57)\n",
      "[OPTICAM] variability frequency: 0.135 Hz\n",
      "[OPTICAM] variability phase lags:\n",
      "    [OPTICAM] g-band: 0.000 radians\n",
      "    [OPTICAM] r-band: 1.571 radians\n",
      "    [OPTICAM] i-band: 3.142 radians\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Generating observations: 100%|██████████|[00:21<00:00]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] timing_analysis_tutorial/reduced not found, attempting to create ...\n",
      "[OPTICAM] timing_analysis_tutorial/reduced created.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "[OPTICAM] Scanning data directory: 100%|██████████|[00:01<00:00]\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101g200000108o.fits.gz and 240101g200000374o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101g200000449o.fits.gz and 240101g200000010o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101g200000469o.fits.gz and 240101g200000233o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101g200000369o.fits.gz and 240101g200000415o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101g200000319o.fits.gz and 240101g200000464o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101i200000118o.fits.gz and 240101i200000169o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101i200000045o.fits.gz and 240101i200000378o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101i200000347o.fits.gz and 240101i200000102o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101i200000004o.fits.gz and 240101i200000167o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101i200000125o.fits.gz and 240101i200000036o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101r200000375o.fits.gz and 240101r200000344o.fits.gz (48.995 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101r200000321o.fits.gz and 240101r200000048o.fits.gz (19.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101r200000489o.fits.gz and 240101r200000446o.fits.gz (58.994 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101r200000149o.fits.gz and 240101r200000456o.fits.gz (10.999 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/opticam/utils/data_checks.py:205: UserWarning: [OPTICAM] Large time gap detected between 240101r200000166o.fits.gz and 240101r200000194o.fits.gz (24.998 s compared to the median time difference of 1.000 s). This may cause alignment issues. If so, consider moving all files after this gap to a separate directory.\n",
      "  warnings.warn(string)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Binning: 8x8\n",
      "[OPTICAM] Filters: g-band, r-band, i-band\n",
      "[OPTICAM] 341 g-band images.\n",
      "[OPTICAM] 341 r-band images.\n",
      "[OPTICAM] 341 i-band images.\n"
     ]
    },
    {
     "data": {
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cOXYq7m9+85s2/8ykSZPUuXPnFl//6KOPdO655+rzzz/XgQceqK985StauHChDjzwQEnS7bffrnbt2mn8+PGqq6vTmDFj9Lvf/S7nPthq1zuyILwITABu2rFjh4wxZIolyBQAbkpnyY4dOzxuCQqBTAFy51hhb/Lkyerdu7eKi4tbtfy6dev09a9/fa+FvQceeGCv6+jQoYOSyaSSyWSb2opsxhh2oJYgMAG4iX2MXRhvAG5iH2MXxhvInaM3z1i8eLF69OjRqmX3VtBDYVHYsweBCcBN7GPswngDcBP7GLsw3kDuHLvG3rRp09SpU6dWL/+jH/1IXbt2dWrzbRaPxxWLxZjtp+aLXnPhazsQmLBVMplULBZTPB53Zf1kSjNupmAXMgU2Ik8Kh0yxC5kCGzmVKY7N2Js2bVqblp86dapTm85JdXU1t5L/P8zYswf/IMFWiURCiURCqVRK0WjU8fWTKc34p9wujDdsRJ4UDvsYu3CcAhs5lSmu3BX3yy+/1BdffJF5vGbNGs2YMUPPPvusG5tDnijs2YN/kAC4iX2MXTgIA+AmMsUujDeQO1cKe2eeeabuu+8+SdKmTZs0fPhw/epXv9KZZ56pmTNnurFJ5IFTce1BYAJwE4Ueu5ApANxEptiFTAFy50ph7/XXX9dJJ50kSXr44YdVXl6uNWvW6L777tNvfvMbNzaJPDBjzx4EJgA3sY+xC+MNwE3sY+zCeAO5c6Ww98UXX2Tuevvss8/q7LPPVrt27XT88cdrzZo1bmwSeWDGnj0ITABuYnaFXcgUAG4iU+xCpgC5c6WwN2DAAD322GNat26dnnnmGY0ePVqStGHDBi4G60PM2LMHgQnATexj7MJ4A3AT+xi7MN5A7lwp7N1www265ppr1K9fPw0fPlxVVVWSmmfvHX300W5sEnmgsGcPAhOAm9jH2IXxBuAm9jF2YbyB3LlS2PvmN7+ptWvXavHixZozZ07m+ZEjR+r22293Y5NtFo/HFYvFlEwmvW6K5zgV1x6c0gBbJZNJxWIxxeNxV9ZPpjRjH2MXDsJgI/KkcMgUuzDesJFTmVLiUHt2U1FRoYqKiqznjjvuOLc212bV1dWcFvx/mLFnDw7CYKtEIqFEIqFUKqVoNOr4+smUZuxj7MJBGGxEnhQOmWIXxhs2cipTHJuxd/bZZyuVSrV6+fPPP18bNmxwavPIQ1NTEztQSxCYANzEPsYujDcAN7GPsQvjDeTOsRl7jz/+uD799NNWLWuM0ZNPPqmf/exn6tGjh1NNQI6MMXzabgkCE4CbmMFlFzIFgJvIFLuQKUDuHCvsGWN02GGHObU6FBCn4tqDwATgJvYxdmG8AbiJfYxdGG8gd44V9l544YU2/8xBBx3k1OaRB26eYQ8CE4CbmF1hFzIFgJvIFLuQKUDuHCvsnXLKKU6tCgXGjD17EJgA3MQ+xi6MNwA3sY+xC+MN5M6xm2cguCjs2YNPPgG4iX/K7cJ4A3AT+xi7cJwC5M7awl48HlcsFlMymfS6KZ7jVFx78A8SbJVMJhWLxRSPx11ZP5nSjH/K7cJ4w0bkSeGwj7ELxymwkVOZ4tipuEFTXV2tSCTidTN8gRl79iAwYatEIqFEIqFUKqVoNOr4+smUZuxj7MJ4w0bkSeGwj7EL4w0bOZUp1s7Yw781NTWxA7UEgQnATexj7MJ4A3AT+xi7MN5A7lwp7H355Zf64osvMo/XrFmjGTNm6Nlnn3Vjc8iTMYYp7pYgMAG4idOm7EKmAHATmWIXMgXInSuFvTPPPFP33XefJGnTpk0aPny4fvWrX+nMM8/UzJkz3dgk8sCpuPYgMAG4iX2MXRhvAG5iH2MXxhvInSuFvddff10nnXSSJOnhhx9WeXm51qxZo/vuu0+/+c1v3Ngk8sDNM+xBYAJwE7Mr7EKmAHATmWIXMgXInSuFvS+++EKdO3eWJD377LM6++yz1a5dOx1//PFas2aNG5tEHpixZw/+QQLgJv4ptwvjDcBN7GPswnEKkDtXCnsDBgzQY489pnXr1umZZ57R6NGjJUkbNmzgLk8+xM0z7ME/SADcxD7GLow3ADexj7EL4w3kzpXC3g033KBrrrlG/fr103HHHaeqqipJzbP3jj76aDc22WbxeFyxWEzJZNLrpniOm2fYg8CErZLJpGKxmOLxuCvrJ1Oa8Wm7XRhv2Ig8KRz2MXbhOAU2cipTShxqT5ZvfvOb+spXvqJPPvlEQ4cOzTw/cuRInXXWWW5sss2qq6uZPfh/OBXXHgQmbJVIJJRIJJRKpRSNRh1fP5nSjH2MXRhv2Ig8KRz2MXZhvGEjpzLFlRl7klRRUaHOnTvrueee05dffimp+ROoQYMGubVJ5IibZ9iDwATgJmZX2IVMAeAmMsUuZAqQO1cKe59//rlGjhypww47TF/72tf0ySefSJIuvvhiXX311W5sEnlgxp49CEwAbmIfYxfGG4Cb2MfYhfEGcudKYe+qq65S+/bttXbtWu23336Z5ydMmKA5c+bkvN6bb75ZRUVFmjx5cua57du3K5FIqFu3burUqZPGjx+v2trafJpvHQp79uCTTwBu4p9yuzDeANzEPsYuHKcAuXOlsPfss8/qlltuUe/evbOeP/TQQ7VmzZqc1lldXa3f//73GjJkSNbzV111lZ588kk99NBDmj9/vtavX6+zzz4757bbiFNx7cE/SADcxD/ldiFTALiJTLELmQLkzpXC3rZt27Jm6qVt3LhRZWVlbV7f1q1bdf755+sPf/iDDjjggMzzmzdv1j333KPbbrtNp512moYNG6ZZs2bp1Vdf1cKFC/Pqg02YsWcPAhOAm9jH2IXxBuAm9jF2YbyB3LlS2DvppJN03333ZR4XFRWpqalJt956q0499dQ2ry+RSOg//uM/NGrUqKznlyxZoh07dmQ9P2jQIPXp00cLFizY6zpTqVTWV11dXZvbFRZNTU3sQC1BYMI2dXV1u+3v3UCmNGMfYxdm08Am5EnhkSl2YbxhE6czxZXC3q233qq77rpLY8eOVX19vX74wx9q8ODBevHFF3XLLbe0aV0PPPCAXn/9dU2fPn2312pqalRaWqouXbpkPV9eXq6ampq9rreyslLRaDTztaf128IYwz/lliAwYZvp06dn7esrKytd2Q6Z0oxCj13IFNiEPCk8MsUuZAps4nSmlDjUriyDBw/WBx98oDvuuEOdO3fW1q1bdfbZZyuRSKhnz56tXs+6det05ZVX6rnnnlOHDh0cbeO6desUiUQyj3M5RTgsOBXXHgQmbDN16lRNmTIl8ziVSrlyMEamNGMfYxfGGzYhTwqPfYxdGG/YxOlMcaWwJ0nRaFTXX399XutYsmSJNmzYoGOOOSbzXGNjo1588UXdcccdeuaZZ1RfX69NmzZlzdqrra1VRUXFXtcdiUSyQtNW6R0nn4TZgcCEbcrKygpyUESmNGN2hV3IFNiEPCk8MsUuZAps4nSmOFbYe/PNN1u97K53tm3JyJEj9dZbb2U9N2nSJA0aNEj//d//rcrKSrVv315z587V+PHjJUnLly/X2rVrVVVV1frGW4wdqF34BwmAm8gUuzDeANzEPsYuHKcAuXOssHfUUUepqKhonzveoqIiNTY2tmqdnTt31uDBg7Oe23///dWtW7fM8xdffLGmTJmirl27KhKJ6IorrlBVVZWOP/743DpimfSOk8C0A/8gAXAT+xi7MN4A3MQ+xi6MN5A7xwp7q1evdmpVbXL77berXbt2Gj9+vOrq6jRmzBj97ne/86QtQcSpuHYhMAG4iU/b7UKmAHATmWIXMgXInWOFvb59+zq1qr2aN29e1uMOHToomUwqmUwWZPthww7ULow3ADexj7ELB90A3ESm2IXxBnLnWGHviSee0NixY9W+fXs98cQTe132G9/4hlObRZ44FdcuBCYAN7GPsQvjDcBN7GPswngDuXOssDdu3DjV1NSoR48eGjduXIvLteUae26Kx+MqLi5WIpFQIpHwujme4VRcuxCYsFV6Zrdb+UOmNGMGl13IFNiIPCkcMsUuZAps5FSmOFbY23mHG4Sdb3V1NbeSFztQ2zDesFX6ACmVSikajTq+fjKlGfsYuzDesBF5UjjsY+zCeMNGTmVKO6ca1LVrV3322WeSpIsuukhbtmxxatVwEZ+E2YXxBuAm9jF24SAMgJvIFLsw3kDuHCvs1dfXK5VKSZLuvfdebd++3alVw0X8U24XxhuAm9jH2IXxBuAm9jF2YbyB3Dl2Km5VVZXGjRunYcOGyRijH/zgB+rYseMel/3jH//o1GaRJ26eYRcCE4Cb2MfYhfEG4Cb2MXZhvIHcOVbY+//+v/9Pt99+u1atWqWioiJt3ryZWXsBwM0z7EJgAnATp9HYhfEG4Cb2MXbhOAXInWOFvfLyct18882SpP79++tPf/qTunXr5tTq4RJ2oHZhvAG4iX2MXRhvAG5iH2MXxhvInWOFvZ2tXr3ajdXCBXwSZhcCE4CbyBS7kCkA3ESm2IVMAXLn2M0zgiYejysWiymZTHrdFE+xA7UL4w1bJZNJxWIxxeNxV9ZPpjRjH2MXxhs2Ik8Kh32MXRhv2MipTHFlxl4QVFdXKxKJeN0Mz3HzDLvwySdslUgklEgklEqlFI1GHV8/mdKMf8rtwnjDRuRJ4bCPsQvHKbCRU5li7Yw9NOPmGXbhHyQAbuKfcruQKQDcRKbYhUwBckdhz3LsQO3CeANwE/sYuzDeANzEPsYujDeQO9dOxW1qatLKlSu1YcOG3T5lOfnkk93aLNqIU3HtQmACcBP7GLswmwaAm8gUuzDeQO5cKewtXLhQ5513ntasWbPbH2ZRUZEaGxvd2CxywKm4diEwAbiJQo9dyBQAbiJT7EKmALlzpbB36aWX6thjj9Xf//539ezZU0VFRW5sBg5gB2oXxhuAm9jH2IXxBuAm9jF2YbyB3LlS2FuxYoUefvhhDRgwwI3Vw0F8EmYXAhOAm8gUu5ApANxEptiFTAFy58rNM4YPH66VK1e6sWrHxONxxWIxJZNJr5viKXagduEfJNgqmUwqFospHo+7sn4ypRmZYhfGGzYiTwqHfYxdOE6BjZzKFFdm7F1xxRW6+uqrVVNToyOPPFLt27fPen3IkCFubLZNqqurFYlEvG6G57h5hl34Bwm2SiQSSiQSSqVSikajjq+fTGnGPsYujDdsRJ4UDvsYuzDesJFTmeJKYW/8+PGSpIsuuijzXFFRkYwx3DzDZ7h5hl0ITABu4tN2u5ApANxEptiFTAFy50phb/Xq1W6sFi5gB2oXxhuAm9jH2IWDbgBuIlPswngDuXOlsNe3b183VgsXcCquXQhMAG5iH2MXxhuAm9jH2IXxBnLnys0zJOlPf/qTTjzxRPXq1Utr1qyRJM2YMUOPP/64W5tEDjgV1y4EJgA3MYPLLmQKADeRKXYhU4DcuVLYmzlzpqZMmaKvfe1r2rRpU+aael26dNGMGTPc2CRyxIw9uxCYANzEPsYujDcAN7GPsQvjDeTOlcLeb3/7W/3hD3/Q9ddfr+Li4szzxx57rN566y03NokcMWPPLnzyCcBN7GPswkEYADeRKXZhvIHcuVLYW716tY4++ujdni8rK9O2bdvc2GSbxeNxxWIxJZNJr5viKf4ptwvjDVslk0nFYjHF43FX1k+mNGMfYxfGGzYiTwqHfYxdGG/YyKlMceXmGf3799eyZct2u4nGnDlzdPjhh7uxyTarrq5WJBLxuhme41RcuxCYsFUikVAikVAqlVI0GnV8/WRKM/YxdmG8YSPypHDYx9iF8YaNnMoUVwp7U6ZMUSKR0Pbt22WM0Wuvvab7779f06dP19133+3GJpEjTsW1C4EJwE2cRmMXxhuAm9jH2IXjFCB3rpyK+93vfle33HKLfvzjH+uLL77Qeeedp5kzZ+rXv/61zjnnnFavZ+bMmRoyZIgikYgikYiqqqr09NNPZ17fvn27EomEunXrpk6dOmn8+PGqra11o0uhxYw9uxCYANzEPsYujDcAN7GPsQvjDeTOlcKeJJ1//vlasWKFtm7dqpqaGn300Ue6+OKL27SO3r176+abb9aSJUu0ePFinXbaaTrzzDP1zjvvSJKuuuoqPfnkk3rooYc0f/58rV+/XmeffbYb3QktZuzZhcAE4CZmV9iFTAHgJjLFLmQKkDtXTsWVpIaGBs2bN0+rVq3SeeedJ0lav369IpGIOnXq1Kp1nHHGGVmP/9//+3+aOXOmFi5cqN69e+uee+7Rn//8Z5122mmSpFmzZunwww/XwoULdfzxxzvboZBiB2oX/kEC4CYyxS6MNwA3sY+xC8cpQO5cKeytWbNGp59+utauXau6ujp99atfVefOnXXLLbeorq5Od955Z5vX2djYqIceekjbtm1TVVWVlixZoh07dmjUqFGZZQYNGqQ+ffpowYIFFPZaiVNx7cI/SADcxD7GLow3ADexj7EL4w3kzpXC3pVXXqljjz1Wb7zxhrp165Z5/qyzztIll1zSpnW99dZbqqqq0vbt29WpUyc9+uijisViWrZsmUpLS9WlS5es5cvLy1VTU7PP9aZSqazHZWVlKisra1PbwoAdqF0Yb9imrq5OdXV1mce77vudQqY049N2u5ApsAl5Unhkil3IFNjE6Uxx5Rp7L730kn784x+rtLQ06/l+/frp448/btO6Bg4cqGXLlmnRokW67LLLNHHiRL377rt5t7GyslLRaDTzNX369LzXGUQ77zjZiYYfgQnbTJ8+PWtfX1lZ6cp2yJRm7GPswnjDJuRJ4bGPsQvjDZs4nSmuzNhrampSY2Pjbs9/9NFH6ty5c5vWVVpaqgEDBkiShg0bpurqav3617/WhAkTVF9fr02bNmXN2qutrVVFRcU+17tu3TpFIpHMY9s/CZOad6JFRUUetgZuIzBhm6lTp2rKlCmZx6lUypWDMTKlGfsYuzCbBjYhTwqPTLEL4w2bOJ0prhT2Ro8erRkzZuiuu+6SJBUVFWnr1q2aNm2avva1r+W17qamJtXV1WnYsGFq37695s6dq/Hjx0uSli9frrVr16qqqmqf64lEIlmhaaudd5xNTU1q1861GyXDBwhM2KZQpzCRKc0o9NiFTIFNyJPCI1PsQqbAJk5niiuFvV/96lcaM2aMYrGYtm/frvPOO08rVqxQ9+7ddf/997d6PVOnTtXYsWPVp08fbdmyRX/+8581b948PfPMM4pGo7r44os1ZcoUde3aVZFIRFdccYWqqqq4cUYb7DpjD+FGYAJwE/sYuzDeANzEPsYujDeQO1cKe71799Ybb7yhBx54QG+++aa2bt2qiy++WOeff746duzY6vVs2LBBF1xwgT755BNFo1ENGTJEzzzzjL761a9Kkm6//Xa1a9dO48ePV11dncaMGaPf/e53bnQptHadsYdw4y7IANzE7Aq7cBAGwE1kil0YbyB3rhT2JKmkpETf/va381rHPffcs9fXO3TooGQyqWQymdd2bMbNM+yy63hzTUUATqLQYxfGG4Cb2MfYifEG2s6VC6r16dNHF1xwge655x7985//dGMTcAin4tqFQi4AN3EQZhfGG4Cb2MfYg2MUID+uFPZ+8YtfqEOHDrrllls0YMAAVVZW6tvf/rb+8Ic/aMWKFW5sEjniVFy7EJoA3MRpNHbhoBuAm8gUe3CMAuTHlcLet7/9bd1111364IMP9PHHH+uXv/ylJOn73/++Bg0a5MYm2ywejysWi1l/Gi8z9uxCaMJWyWRSsVhM8XjclfWTKc0o9NiFg27YiDwpHDLFHhyjwFZOZYpr19j74osv9PLLL2vevHl64YUXtHTpUg0ePFgjRoxwa5NtUl1dza3kxU7UNow3bJVIJJRIJJRKpRSNRh1fP5nSjIMwuzDesBF5UjjsY+zBMQps5VSmuFLYO+GEE7R06VIdfvjhGjFihK677jqdfPLJOuCAA9zYHPLAqbh2ITQBuIkZXHbhoBuAm8gUe3CMAuTHlVNx33//fe2///4aNGiQBg0apMMPP5yink9xKq5ddh5v/kkC4DQKPXZhvAG4iX2MPThGAfLjSmHv888/1/PPP6/jjz9ezzzzjE488UQddNBBOu+88/SHP/zBjU0iR8zYswufhgFwE7Mr7MJBNwA3kSn24BgFyI8rhb2ioiINGTJEP/jBD/Twww/r6aef1le/+lU99NBDuvTSS93YJHLETtQujDcAN1HosQvjDcBN7GPswTEKkB9XrrH3+uuva968eZo3b55efvllbdmyRUceeaSuuOIKnXLKKW5sEjniVFy7EJoA3MRBmF0YbwBuYh9jD45RgPy4Utg77rjjdPTRR+uUU07RJZdcopNPPtmVu0Yhf5yKaxdCE4CbOG3KLow3ADexj7EHxyhAflw5FXfjxo2qrq7W//zP/+iMM87wZVEvHo8rFospmUx63RRPMWPPLoQmbJVMJhWLxRSPx11ZP5nSjNkVdmG8YSPypHDYx9iDYxTYyqlMcWXG3lFHHaXq6mp169Yt6/lNmzbpmGOO0T//+U83Ntsm1dXVikQiXjfDc8zYswuhCVslEgklEgmlUilXPmwiU5oxu8IuHHTDRuRJ4ZAp9uAYBbZyKlNcmbH34YcfqrGxcbfn6+rq9PHHH7uxSeSInahduJU8ADdR6LEL4w3ATexj7MExCpAfR2fsPfHEE5nvn3nmmayKY2Njo+bOnat+/fo5uUnkiVNx7UIhN9w2b96siRMnavbs2erSpYvXzYGFOAizC+Mdbq+++qr+/Oc/64477vC6KbAU+xh7cIwSfslkUh06dNDFF1/sdVNCydHC3rhx4yRJRUVFmjhxYtZr7du3V79+/fSrX/3KyU0iT5yKaxdCM9xWrlypxx9/XB988IGOO+44r5sDC3HalF046A63l156Sffddx+FPXiGTLEHxyjh9/jjj6tTp04U9lziaGEvvdPt37+/qqur1b17dydXDxcwY88uhGa48Q8wvEahxy6Md7g1NTWRJ/AU+xh7cIwSfmSKu1y5ecbq1asz32/fvl0dOnRwYzNwADtRuzDe4Za+tumernEKFAIHYXbhw4Rwa2xsJE/gKTLFHhyjhB+Z4i5Xbp7R1NSkn/3sZzrooIPUqVOnzF1wf/KTn+iee+5xY5PIEafi2oXQDDcKe/AahR67cNAdbhyEwWtkij04Rgk/MsVdrhT2fv7zn2v27Nm69dZbVVpamnl+8ODBuvvuu93YZJvF43HFYjElk0mvm+IpTsW1C6EZbhT2WpZMJhWLxRSPx11ZP5nSjEKPXRjvcOMgbM/Ik8JhH2MPjlHCj0zZM6cyxZVTce+77z7dddddGjlypC699NLM80OHDtX777/vxibbrLq6WpFIxOtmeI4Ze3bhVvLhxifbLUskEkokEkqlUll3bHcKmdKM96BdOOgON66HtGfkSeGQKfbgGCX8yJQ9cypTXJmx9/HHH2vAgAG7Pd/U1KQdO3a4sUnkiE9H7MJ4hxsz9uA1Cj12YbzDLZ0lHIjBK+xj7MExSvgxY89drhT2YrGYXnrppd2ef/jhh3X00Ue7sUnkiFNx7UJohhuFPXiNgzC7MN7hRqbAa+xj7MExSvhR2HOXK6fi3nDDDZo4caI+/vhjNTU16ZFHHtHy5ct133336W9/+5sbm0SOOBXXLoRmuHEQBq9x2pRdOOgOt50zpX379h63BjYiU+zBMUr4Udhzlysz9s4880w9+eST+sc//qH9999fN9xwg9577z09+eST+upXv+rGJpEjZuzZhdAMN/4Bhtco9NiFfU64Mb7wGpliD45Rwq+pqYnCnotcmbEnSSeddJKee+45t1YPh7ATtQvjHW7M2IPXOAizC+MdbmQKvMY+xh4co4RfY2MjHxS5yLXCniQtXrxY7733nqTm6+4NGzbMzc0hB5yKaxdCM9w4CIPXmOFjFw66w41MgdfIFHtwjBJ+nIrrLldOxf3oo4900kkn6bjjjtOVV16pK6+8UvF4XF/5ylf00UcfubHJNovH44rFYkomk143xVOcimsXbiUfbhyEtSyZTCoWiykej7uyfjKlGYUeuzDe4Uam7Bl5UjjsY+zBMUr4UdjbM6cyxZUZe9/97ne1Y8cOvffeexo4cKAkafny5Zo0aZK++93vas6cOW5stk2qq6sViUS8bobnmLFnFz4NCzcOwlqWSCSUSCSUSqUUjUYdXz+Z0ozZFXbhoDvcyJQ9I08Kh0yxB8co4Udhb8+cyhRXCnvz58/Xq6++minqSdLAgQP129/+VieddJIbm0SOmLFnF0Iz3PgHGF6j0GMXxjvcyBR4jX2MPThGCb+mpibyxEWunIpbWVmpHTt27PZ8Y2OjevXq1er1TJ8+XfF4XJ07d1aPHj00btw4LV++PGuZ7du3K5FIqFu3burUqZPGjx+v2travPtgC3aidmG8w43ZFfAaB2F2YbzDjUyB19jH2INjlPBjxp67XCns/fKXv9QVV1yhxYsXZ55bvHixrrzySv3P//xPq9czf/58JRIJLVy4UM8995x27Nih0aNHa9u2bZllrrrqKj355JN66KGHNH/+fK1fv15nn322o/0JM07FtQuhGW4chMFrzPCxC+MdbmQKvMY+xh4co4QfhT13OXYq7gEHHKCioqLM423btmn48OEqKWneRENDg0pKSnTRRRdp3LhxrVrnrtfimz17tnr06KElS5bo5JNP1ubNm3XPPffoz3/+s0477TRJ0qxZs3T44Ydr4cKFOv74453pXIhxKq5dCM1w4yAMXmN2hV0Y73AjU+A19jH24Bgl/Cjsucuxwt6MGTOcWlWLNm/eLEnq2rWrJGnJkiXasWOHRo0alVlm0KBB6tOnjxYsWEBhrxWYsWcXxjvc+GQbXuM9aBcOusONv2d4jfegPThGCb+mpiYKey5yrLA3ceJEp1a1R01NTZo8ebJOPPFEDR48WJJUU1Oj0tJSdenSJWvZ8vJy1dTU7HV9qVQq63FZWZnKysocbXMQ8OlI8Lzyyiu65ZZb9MQTT7T5Z5mhGW7MrthdXV2d6urqMo933fc7hUxpRqEneG677TZt375dP/rRj9r8s4x3uJEp2ciTwmMfEzwTJkzQJZdckjXxpjU4Rgm/xsZGirY7cTpTXLnGnhsSiYTefvttPfDAA46sr7KyUtFoNPM1ffp0R9YbNOxEg2fp0qX6+9//ntPPGmMyp8wz3uHDQdjupk+fnrWvr6ysdGU7ZEozDsKC58UXX9T8+fNz+tl0pjDe4USmZCNPCo9MCZ6nnnpKS5cubfPPpceYTAkvTsXN5nSmODZjz02XX365/va3v+nFF19U7969M89XVFSovr5emzZtypq1V1tbq4qKir2uc926dYpEIpnHtn8SJjHtOSgaGhrU1NSUVaRrLWOM2rVrp8bGRkIzhDgI293UqVM1ZcqUzONUKuXKwRiZ0ozTpoKnoaFBDQ0NOf1sOlPIk3AiU7KRJ4VHpgRPrpmSzhEyJbwo7GVzOlN8XdgzxuiKK67Qo48+qnnz5ql///5Zrw8bNkzt27fX3LlzNX78eEnS8uXLtXbtWlVVVe113ZFIJCs0bcWMveDZ+R/t9M1pWovCXrjxD/DuCnUKE5nSjNkVwZPPP9oU9sKNTMlGnhQemRI8uWYKhb3w4xp72ZzOFF8X9hKJhP785z/r8ccfV+fOnTPXzYtGo+rYsaOi0aguvvhiTZkyRV27dlUkEtEVV1yhqqoqbpzRSlxjL3jSn4Kl7zTdFumDsPT3CBdmV8BrHIQFTz4z9pqamtSuXTsKPyFFpsBrZErwMGMPLeEae+5ytbC3cuVKrVq1SieffLI6duzY5lMHZ86cKUkaMWJE1vOzZs3ShRdeKEm6/fbb1a5dO40fP151dXUaM2aMfve73znVhdDjVNzgyecfbQp74cZBGLzGDJ/gYcYeWkKmwGtkSrCkLxXEjD3sCafiusuVwt7nn3+uCRMm6Pnnn1dRUZFWrFihgw8+WBdffLEOOOAA/epXv2rVelrzR92hQwclk0klk8l8m20lTsUNnp1n7LVVenZF+nuECwdh8BqzK4KHa+yhJWQKvEamBEt6X5HrMYokZoGHGIU9d7lyV9yrrrpKJSUlWrt2rfbbb7/M8xMmTNCcOXPc2CRyxIy94Ml3xl5xcXHme4QLn2zDa7wHgyffGXvFxcXkSUjx9wyv8R4MlnyPUSSRKSGVHlMKe+5xZcbes88+q2eeeSbrDraSdOihh2rNmjVubBI5YsZe8OQzY4/CXrgxuwJeY3ZF8OQ7Y4+DsPAiU+A1MiVY8j1GkSjshVU6RyjSu8eVGXvbtm3LmqmXtnHjRt/csj0ejysWi1l/Ci83zwgerrGHlnAQ1rJkMqlYLKZ4PO7K+smUZmRK8HCNPbSETNkz8qRwKOwFixMz9siUcCJPWuZUprgyY++kk07Sfffdp5/97GeSpKKiIjU1NenWW2/Vqaee6sYm26y6uppbyYtTcYMo30/DKOyFF6HZskQioUQioVQqpWg06vj6yZRmu84Cb8sNs+ANJ2bssc8JJzJlz8iTwuAYJXicmLFHYS+cyJOWOZUprhT2br31Vo0cOVKLFy9WfX29fvjDH+qdd97Rxo0b9corr7ixSeSIU3GDhxl7aAnXooHXmLEXPPnM2EvfkIl9TjiRKfASeRI8zNhDS9I5Yozhg1+XuHIq7uDBg/XBBx/oK1/5is4880xt27ZNZ599tpYuXapDDjnEjU0iR4Rm8DBjDy3h0zB4jUwJHu6Ki5aQKfASeRI8zNhDS3bOETLFHa7M2JOkaDSq66+/3q3VwyE7fwrLJ7LBkM8/2unZFenvES4chMFrZErwcI09tIRMgZfIk+DJ9xhFErPAQ2rn9wTj6w7XCnvbt2/Xm2++qQ0bNuw2eN/4xjfc2izaKD0VNj0tFv7HXXHREg7C4DUyJXi4Ky5aQqbAS+n9SjpT4H/cFRctYcae+1wp7M2ZM0cXXHCBPvvss91eKyoqYjB9JP1pe2NjI9XzgMj3+hUU9sKL6yHBa+lZwWRKcOQ7Y4+DsPAiU+AlZnAFjxPX2CNTwmnnv2FqQe5w5Rp7V1xxhb71rW/pk08+UVNTU9YXA+kvTU1NFHoCJv0pGDfPwK6YXQGv8eFB8DQ2NnKNPewRmQIvUegJHq6xh5YwY899rhT2amtrNWXKFJWXl7uxekfE43HFYjElk0mvm+IpDsKCJ70z5OYZ2BUHYS1LJpOKxWKKx+OurJ9MaUamBE9DQwPX2MMekSl7Rp4UBoW94OGuuGgJ19hrmVOZ4sqpuN/85jc1b948X98Bt7q6WpFIxOtmeG7nQg9/ZMHAjD20hIOwliUSCSUSCaVSKUWjUcfXT6Y04wY9wZPPjL30eDPW4USm7Bl5Uhicihs8zNhDS5ix1zKnMsWVwt4dd9yhb33rW3rppZd05JFHqn379lmv/+AHP3Bjs8gBp+IGDzP20BIOwuA1ZuwFDzP20BIyBV5ixl7wMGMPLaGw5z5XCnv333+/nn32WXXo0EHz5s1TUVFR5rWioiIKez7CQVjw5DNjb+dCLp9+hg8XOofXyJTg4Rp7aAmZAi9R2AuefGbspfczxcXF7HNCiJtnuM+Vwt7111+vn/70p7ruuusys4PgTxR6gocZe2gJsyvgNTIleNIz9owxWR/EtgZ3xQ03MgVeotATPMzYQ0u4xp77XKm61dfXa8KECRT1AoDZFcGT7zX2GO/w4iAMXmMfEzzp/UUu/2hT2As3MgVeYsZe8DhxjT3GO5w4Fdd9rlTeJk6cqAcffNCNVcNh3DwjeJixh5ZwEAavcfOM4HHihkzkSTiRKfASN88IHmbsoSUU9tznyqm4jY2NuvXWW/XMM89oyJAhu90847bbbnNjs8gBN88IHu6Ki5ZwPSR4jRl7wWKMyewvGhoaVFpa2uaf5yAsvMgUeIkZXMHDXXHREq6x5z5XZuy99dZbOvroo9WuXTu9/fbbWrp0aeZr2bJlbmyyzeLxuGKxmJLJpNdN8RQHYcHDjD20hNkVLUsmk4rFYorH466sn0xpRqYES76foJMp4Uam7Bl5UhgU9oKHGXtoCTP2WuZUprgyY++FF15wY7WOqq6uViQS8boZnuO0qeBhxh5awkFYyxKJhBKJhFKplKLRqOPrJ1OakSnBsvO+oq0fFu18EJZ+3Nabb8DfyJQ9I08Kg1Nxg4cZe2gJN89omVOZwt0tLMfsiuDJZ8Yed6wMNw7C4DUyJVh2zpG27jf2VNhDuJAp8BIz9oInn30Gd0EON2bsuc+xGXtnn322Zs+erUgkorPPPnuvyz7yyCNObRZ52vkgjJ1oMDBjDy3hekjwGh8eBIvTM/YQLmQKvEShJ3iYsYeWcI099zlW2ItGo5lTMNyYlg53cPOM4OEae2gJsyvgNWbsBYsTM/YY7/AiU+ClnfcxvAeDwalr7DHe4cOMPfc5VtibNWuWbrrpJl1zzTWaNWuWU6uFyzgIC558Z+wx3uHFQRi8xj4mWJyYscd4hxeZAi/tvI/J5cNsFJ4TM/YY73DiGnvuc/Qaez/96U+1detWJ1cJl+08g4s/smBgxh5awkEYvMbNM4KFa+yhJcaYzJiSKfACN88IHu6Ki5YwY899jhb2+CMMHk7FDR6usYeWcD0keI0Ze8GSz4y9nQ+6d36McNh5PBlbeIGbZwQP19hDS7jGnvscvytu+jp7fhePxxWLxZRMJr1uiqco9AQPM/bQEmbstSyZTCoWiykej7uyfjKlGYW9YGHGHlrC7IqWkSeFQWEveJixh5aQKS1zKlMcu8Ze2mGHHbbP4t7GjRud3mybVVdXKxKJeN0MzzU1NamoqEhFRUV8IhsQ+czY446V4UZhr2WJREKJREKpVMqVGzyRKc04FTdYuCsuWsJBWMvIk8LgVNzgyWfGHndBDjeusdcypzLF8cLeT3/6U+6KGyDpGVxFRUX8Ux4QzNhDSyjswWvM2AsWZuyhJRT24DVm7AUPM/bQEjLFfY4X9s455xz16NHDsfW9+OKL+uUvf6klS5bok08+0aOPPqpx48ZlXjfGaNq0afrDH/6gTZs26cQTT9TMmTN16KGHOtaGMDPGqKioiE/DAoRr7IXPd77zHQ0YMEDTpk3Laz1cYw9eY1ZwsHBX3PBpaGjQIYccoj/96U86+eSTc14P19iD15jBFTxcYy98li1bptNPP10rV65Up06dcl4P19hzn6PX2HPj+nrbtm3T0KFDW7zOxK233qrf/OY3uvPOO7Vo0SLtv//+GjNmjLZv3+54W8IofdoUM/aCI98ZexyE+c/777+vDz74IO/1MGMPXmMfEyxOzNhjvP1l27ZtWrt2rVatWpXXephdAa8xYy94nJixx3j7y6pVq1RbW5v3pdTIFPc5OmPPjT/CsWPHauzYsS1ub8aMGfrxj3+sM888U5J03333qby8XI899pjOOeccx9sTNukZexT2goMZe+FTX1+v+vr6vNdDYQ9eo7AXLFxjL3zSWZJvpnAQBq9R6AkeZuyFD5kSHI7O2GtqanL0NNx9Wb16tWpqajRq1KjMc9FoVMOHD9eCBQsK1o4gS988g1Nxg4Nr7IVPXV2d6urq8l4PhT14jZtnBEs+M/Z2vrD9zo/hrXSW5JspHITBa9w8I3i4xl74uJEp/D27w/Fr7BVSTU2NJKm8vDzr+fLy8sxrLUmlUlmPy8rKVFZW5mwDA4CbZwRPvjP2mE3jP04V9rjG3u52/d3uuu93CpnSjH1MsDBjL3ycOgjjGnu7I08Kixl7wePEjD3G21/SM/WczBQ+LGrmdKY4OmMvSCorKxWNRjNf06dP97pJntj55hnsRIMhn0/DmE3jT5yK657p06dn7esrKytd2Q6Z0ozCXrDkMyuLwp4/cdqUe8iTwqLQEzzpfYUxps1jxgxNf0oXnsgU5zmdKYGesVdRUSFJqq2tVc+ePTPP19bW6qijjtrrz65bt06RSCTz2MZPwqR/n4pbVFTETjQgOBU3fDgV1z1Tp07VlClTMo9TqZQrB2NkSjPuihssTtw8g0zxF07FdQ95UljcFTd4dt1vlJS0vtTAqbj+RKa4x+lMCXRhr3///qqoqNDcuXMzhbxUKqVFixbpsssu2+vPRiKRrNC0FafiBg83zwgfZuy5p1CnMJEpzdjHBIsTp+IyQ9NfmLHnHvKksCj0BM/OOdLQ0EBhLwTcyBQK9c2czhTfF/a2bt2qlStXZh6vXr1ay5YtU9euXdWnTx9NnjxZP//5z3XooYeqf//++slPfqJevXpp3Lhx3jU6QHY+FZc/Mv/beYxynbHHQZj/MGMPYcGMvWBxYsYemeIvzK5AWDBjL3icuLwDp177C5kSHL4v7C1evFinnnpq5nF6uuLEiRM1e/Zs/fCHP9S2bdv0ve99T5s2bdJXvvIVzZkzRx06dPCqyYGSvuYaM/aCIZ+DMInZNH5kjFF9fb1jN8/gtHp4iQ8PgoWbZ4SP0zfPIFPgFQo9wbPrjL22YMaePzmZKel6A4U9d/i+sDdixIi9/nEXFRXppptu0k033VTAVoUHN88IlnwOwiQKe360Y8cOSflPcZea3x/t27cnMOEZCnvBwjX2wsfp06bIFHiFwl7wOHVDJsbbP5zMlPbt26u+vp5McYm1d8VFM26eESz5ztjjNDn/ceqTMInCHrzHPiZY8vmwaOc7GO78GN5y+rQpMgVe4VTc4Mlnxh7j7U9OZkr6motkijso7FmOm2cECzP2wsfpwl5paSmBCc+wjwkWZuyFj9OFPTIFXmEGV/AwYy980jP1nMiU4uJiruvvImsLe/F4XLFYTMlk0uumeIqbZwQL19gLH6emuEvNn3aWlpbyt7wHyWRSsVhM8XjclfWTKc2YsRcsXGMvfJzKlPTfL5myO/KkMJjBFTxcYy980gU9JzKluLhYxcXFfFi0C6cyxffX2HNLdXU1t5JX9qm47ET9jxl74ePGqbhbt27Ne11hk0gklEgklEqlFI1GHV8/mdKMa+wFC3fFDR9OxXUfeVIYXGMveJixFz5OZgqFvT1zKlOsnbGHZpyKGyxOzNjjIMxf0kHZ0NCQ9yfSXGMPXuPDg2BxYsYemeIvFPYQFhR6gseJGXsUcv3FjVNxyRR3UNizXHrGHqfiBkN6R1hSUsKMvZDYeWq7E3ec4npI8BKn4gZLOkdKSkq4xl5IOH1XXDIFXuFU3ODJ5wYJFHL9yalTcRsbG9WuXTv+nl1EYc9yzNgLlvRBWFlZGdfYC4mdPwHL99MwrrEHrzErOFh2Lt5wjb1wcGrGHtfYg9eYwRU8DQ0NKisry3zfFhT2/MmpGXtcY899FPYst/PNM9iJ+l96R1hWVpbTjL30DM309/Cek4U9TsWF1yjsBUtDQ4NKSkpy+kc7nSHpwh6Z4g+ciouwoLAXPI2NjZnCXj6ZQp74B9fYCw4Ke5bb+eYZ7ET9z4kZe9wsxV/cOBVX4iAb3uBU3GBJ/6Ody+UdmLHnT5yKi7DgVNzgcWLGHsco/uLkqbhcY89dFPYsx6m4wZLvjD0Ke/7j1Iy99D+97du3l5TbzVWAfHG6f7DkM2OPwp4/MWMPYcGpmcGTz4w9jlH8yembZ1Cod4+1hb14PK5YLKZkMul1Uzy186m4/JH5HzP2wsepGXs7Xw9p58dolkwmFYvFFI/HXVk/mdKMGXvBwoy98HFqxh7X2GsZeVIYzNgLnnxn7HGM4j9OzdhramrK3DyDD4uyOZUpJQ61J3Cqq6sViUS8bobndj4Vl52o/zk1Y49PP/3DqRl7O8+u2PkxmiUSCSUSCaVSKUWjUcfXT6Y04xp7weLEjD3G21/cmLH3xRdf5N2uMCFPCmPXfQz8L98Ze5xF5j9uzNjjGCWbU5li7Yw9NEvvRCn0BINTd8UlNP3D6cJeesYeoYlCo9ATPE7M2GO8/cXpwh7X2INX2McEjxMz9jgm9Renb57BNfbcQ2HPctw8I1i4xl74OHUqLjP24LVdD8LIFP/jGnvh4/TNM7jGHryy86m4Oz+Gf3GNvfBx+uYZzNhzD4U9yzGDK1jynbFHIdd/nL55BtfYg1co9ARPPjP20vuY9Hizz/GHnQ/C8vkb5Bp78BqZEjz5zNjjGMWfnDoVd+dr7DG+7qCwZzmmPQcLM/bCh2vsISw4bSp4mLEXPjvniFOzwMkTeIFMCR5m7IWP06fiMmPPPRT2LMenI8HCXXHDx+lTcbnGHrzCaVPBw11xw8eNTCFP4AUyJXi4K264GGMcPxWXa+y5h8Ke5bh5RrAwYy986urq1Llz58z3uaKwB68xuyJ4mLEXPm5kCnkCL5ApwcOMvXBJH2t27tyZGXsBYG1hLx6PKxaLKZlMet0UTzFjL1icmrFHIdc/nDoIS//9pk/F5e85WzKZVCwWUzwed2X9ZAqzK4KIu+KGjxuZwt9yNvKkMMiU4Ml3xh7XffeXdIY4UdhramrKFPb4W87mVKaUONSewKmurlYkEvG6GZ7j05Fg2XnGXq6FPULTX+rr69WpU6fM97niGnt7l0gklEgklEqlFI1GHV8/mcIMriBqbGzMe8YehT1/qa+vzxT2uMaeO8iTwiBTgseJGXtMPvCPdIZ07tzZkVNx0zfPIFOyOZUp1s7YQzNOxQ2WnWfscSpuONTV1amsrEylpaWciotAo9ATPA0NDVxjL2Tq6uoyRSGnbshEnsALZErwcI29cElnSCQScexUXK6x5x4Ke5bjVNxgyXfGHuPtP/X19SorK1NZWRk3z0CgcdpU8OQzYy89vunCHuPtD07O2CsqKlJJSQl5Ak+QKcGTz4w9jlH8Z+dTcZ26eQYz9txDYc9ynJoZLMzYC5+6ujqVlpaqrKzMsdkVOz8GCoUZXMHDjL3wcfLmGRyEwUvsY4KHGXvhsvOpuE7ePIPCrTso7Flu5+sZ8Efmf05cY4/Q9BenTsXl5hnwGrMrgief4g0H3f7k5M0z0qdN8bcML5ApwZOeBV5UVMRdcUPA6ZtncI09d1HYs9zO057ZifofM/bCp76+PjNjj1NxEWRcDyl4GhoaVFJSwoy9EKmvr89cYy/fTOEgDF4iU4In30zhGMVf0hkSiURUX1+f17hwjT33WVvY41byzbh5RrDsXLzJZ8Ye4+0f6Rl7Tp2KS2Fvz5y6lXxLyBQOwoLIiRl7jLe/cCqu+8iTwmAfEzz5ZgqXh/KXnWfsSdKOHTtyXheZ0jKnMqXEofYEDreSb8aFSoMln+shSYSmH9XV1SkajXJXXJc5dSv5lpApnDYVRDvPrmjr7C4Ouv3HGENhrwDIk8IgU4LHiRl7TD7wj10Le+nrgueCTGmZU5li7Yw9NGPac7Dku1NkvP3Hqbvico09eI1TM4OHa+yFS2Njo4wxjpyKm77GHhc6h1fYxwRPvpnCMYq/7Hwq7s6Pc0GmuM/aGXv5qK2t1erVq71uhiO2bduWORW3trZWCxcu9LpJ2ItVq1ZlfRLW1vFqaGjIhOaaNWsYbx/4/PPPdcghh6isrEwff/xxzmPy7rvvSvp3Ye+NN94IXXC2b99ew4YN87oZjvvggw+0ceNGr5uRt3/961+S/j274oMPPmAf43OffvqpDjjgAJWUlOjzzz9v03i9/fbbkv590P3WW2+50ka03vbt2yX9e3bFu+++m/Pf4Icffpj5/7C+vj6Uf8vdunXToYce6nUzHFddXR2KGTErVqyQ9O9MWbx4sbp27eplk7AP9fX1meOUf/7zn23ab6xduzZzjJLLMQ6cl871dKYsWLBA3bt3z2ld//rXv9StWze1a9dOn332WSjH9+CDD1aPHj28a4AJiTvuuMP07dvXlJWVmeOOO84sWrRoj8tt3rzZSDKbN2/OeVszZ840kkLz9ZOf/MR87Wtf87wdfLXu66CDDjIPP/xwzj8/a9YsM2jQIM/7wde/v6699lozbtw4R9b16quvet4ft7569OiR837byQxwen3jx4/3/Hfr5NfcuXPNfvvt53k7+Grd1wUXXGA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",
      "text/plain": [
       "<Figure size 1280x960 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Creating source catalogs\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Aligning g-band images: 100%|██████████|[00:02<00:00]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Done.\n",
      "[OPTICAM] 341 image(s) aligned.\n",
      "[OPTICAM] 0 image(s) could not be aligned.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Aligning r-band images: 100%|██████████|[00:02<00:00]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Done.\n",
      "[OPTICAM] 341 image(s) aligned.\n",
      "[OPTICAM] 0 image(s) could not be aligned.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Aligning i-band images: 100%|██████████|[00:02<00:00]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Done.\n",
      "[OPTICAM] 341 image(s) aligned.\n",
      "[OPTICAM] 0 image(s) could not be aligned.\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Photometry results will be saved to lcs/optimal in timing_analysis_tutorial/reduced.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Performing photometry on g-band images: 100%|██████████|[00:02<00:00]\n",
      "[OPTICAM] Performing photometry on r-band images: 100%|██████████|[00:02<00:00]\n",
      "[OPTICAM] Performing photometry on i-band images: 100%|██████████|[00:02<00:00]\n"
     ]
    }
   ],
   "source": [
    "import opticam\n",
    "\n",
    "opticam.generate_gappy_observations(\n",
    "    out_dir='timing_analysis_tutorial/data',\n",
    "    n_images=500,  # generate lots of observations to create long light curves\n",
    "    binning_scale=8,  # use large binning scale to reduce disk space\n",
    "    circular_aperture=False,  # disable circular aperture shadow for simplicity\n",
    ")\n",
    "\n",
    "reducer = opticam.Reducer(\n",
    "    data_directory='timing_analysis_tutorial/data',\n",
    "    out_directory='timing_analysis_tutorial/reduced',\n",
    "    show_plots=True,\n",
    "    verbose=True,\n",
    "    remove_cosmic_rays=False,\n",
    "    )\n",
    "reducer.create_catalogs()\n",
    "\n",
    "phot = opticam.OptimalPhotometer()\n",
    "reducer.photometry(phot)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ce4f2654",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Filters: g-band, r-band, i-band\n",
      "[OPTICAM] g-band target ID 6 was matched to r-band target ID 6\n",
      "[OPTICAM] g-band comparison ID 5 was matched to r-band comparison ID 5\n",
      "[OPTICAM] g-band target ID 6 was matched to i-band target ID 6\n",
      "[OPTICAM] g-band comparison ID 5 was matched to i-band comparison ID 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Stingray only uses poisson err_dist at the moment. All analysis in the light curve will assume Poisson errors. Sorry for the inconvenience.\n",
      "  warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n"
     ]
    }
   ],
   "source": [
    "dphot = opticam.DifferentialPhotometer(\n",
    "    out_directory='timing_analysis_tutorial/reduced',\n",
    "    show_plots=False,\n",
    ")\n",
    "\n",
    "analyser = dphot.get_relative_light_curve(\n",
    "    fltr='g-band',\n",
    "    target=6,\n",
    "    comparisons=5,\n",
    "    phot_label='optimal',\n",
    "    match_other_cameras=True,\n",
    "    show_diagnostics=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79137bea",
   "metadata": {},
   "source": [
    "We now have an `Analyzer` instance that provides a number of quick-look timing analyses routines. Under-the-hood, these routines use the `stingray` Python package, so if a particular `stingray` routine is not implemented in `opticam`, a light curve from the `Analyzer` instance can be passed directly to `stingray` instead (more on this later). By using `stingray`, the results returned by `opticam.Analyzer` methods are intended to be compatible with existing analysis pipelines, or provide a feature-rich framework in which to develop analysis pipelines.\n",
    "\n",
    "Let's first take a look at our `Analyzer` light curves. Since these observations contain gaps, we can also visualise the Good Time Intervals by passing `show_gtis=True` to `plot_light_curves()`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dbd3c0c6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1280x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = analyser.plot_light_curves(\n",
    "    show_gtis=True,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a0641e5",
   "metadata": {},
   "source": [
    "As we can see, we have three clearly variable, gappy light curves. Let's now perform a few quick-look timing analyses on these light curves.\n",
    "\n",
    "## Periodograms\n",
    "\n",
    "Often times, users might want to compute the periodograms of their light curves. `stingray` implements both the Lomb-Scargle periodogram (LSP) and the classical periodogram (FFT). Both of these are also implemented in `opticam` for convenience.\n",
    "\n",
    "Since `opticam` computes *relative light curves*, while `stingray` assumes that light curves are in units of counts, any `Analyzer` methods that use `stingray` routines will default to `norm=\"frac\"`. The fractional RMS normalization is valid for relative light curves, while the absolute RMS normalization (`norm=\"abs\"`), will give the same results as the fractional RMS normalisation *provided the light curve is normalised to a mean flux of 1*. In general, try to stick with `norm=\"frac\"` since it's scale-invariant (more on this later).\n",
    "\n",
    "Let's first take a look at the Lomb-Scargle periodogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "347b8a5c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lsps = analyser.compute_lomb_scargle_periodograms()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee343dce",
   "metadata": {},
   "source": [
    "We have three Lomb-Scarlge periodograms, all of which show a strong peak at a frequency of about 0.14 Hz.\n",
    "\n",
    "Like many of the timing analysis methods of `Analyzer`, `compute_lomb_scargle_periodograms()` returns a dictionary of results. In this case, the keys list the filters and the values list the corresponding `stingray.lombscargle.LombScarglePowerspectrum` instances: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2983f95f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'g-band': <stingray.lombscargle.LombScarglePowerspectrum at 0x73179933c6e0>,\n",
       " 'r-band': <stingray.lombscargle.LombScarglePowerspectrum at 0x7317993c7b10>,\n",
       " 'i-band': <stingray.lombscargle.LombScarglePowerspectrum at 0x7317993c7ed0>}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lsps"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88c7f75b",
   "metadata": {},
   "source": [
    "Let's find the peak frequency for each periodogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0a9caa29",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Peak frequency: 0.13528395820116063 Hz\n",
      "Peak frequency: 0.13528395820116063 Hz\n",
      "Peak frequency: 0.13528395820116063 Hz\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "for fltr, lsp in lsps.items():\n",
    "    print('Peak frequency:', lsp.freq[np.argmax(lsp.power)], 'Hz')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f8aeed0",
   "metadata": {},
   "source": [
    "As we can see, all three bands show a periodicity at $\\sim$ 0.135 Hz (which is the true frequency of variability for our source of interest). We also see a bit of aliasing due to the gaps in our observations.\n",
    "\n",
    "Let's compare the LSP to the classical periodogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "afb32a02",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] Unable to compute periodogram for g-band light curve due to gaps. Consider using either the compute_lomb_scargle_periodograms() or compute_averaged_power_spectra() methods instead.\n",
      "[OPTICAM] Unable to compute periodogram for r-band light curve due to gaps. Consider using either the compute_lomb_scargle_periodograms() or compute_averaged_power_spectra() methods instead.\n",
      "[OPTICAM] Unable to compute periodogram for i-band light curve due to gaps. Consider using either the compute_lomb_scargle_periodograms() or compute_averaged_power_spectra() methods instead.\n"
     ]
    }
   ],
   "source": [
    "periodograms = analyser.compute_power_spectra()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7148e1ed",
   "metadata": {},
   "source": [
    "As we can see, computing the classical periodogram fails because the data contain gaps. Let's try computing the averaged periodogram instead. When computing an averaged periodogram, a segment size must be specified; to avoid issues with units, `opticam` requires this segment size by an `astropy.units.quantity.Quantity` instance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "39531468",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[OPTICAM] 5 g-band segments averaged.\n",
      "[OPTICAM] 5 r-band segments averaged.\n",
      "[OPTICAM] 5 i-band segments averaged.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import astropy.units as u\n",
    "\n",
    "averaged_periodograms = analyser.compute_averaged_power_spectra(\n",
    "    segment_size=50 * u.s,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a19103e0",
   "metadata": {},
   "source": [
    "Computing averaged periodograms works, since the gaps can be filtered out, but we don't really have enough data in this case to get meaningful results (note each averaged periodogram is comprised of just five segments). When averaging Fourier products, the general consensus is to average at least 30 segments to get trustworthy results. However, generating enough data to get 30 complete 50 s segments would take up a lot of disk space, so I'll leave this as an exercise for the user.\n",
    "\n",
    "## Phase Folding\n",
    "\n",
    "It is common to phase fold light curves on candidate frequencies or periods to visualise the pulse profile. This is implemented in `opticam` for convenience via the `phase_fold_light_curves()` method of `Analyzer`. First, however, we must define our candidate period. To avoid issues with units, candidate periods must be an `astropy.units.quantity.Quantity` instance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "961e7042",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f_signal = 0.135 * u.Hz  # periodogram peak frequency\n",
    "p_signal = 1 / f_signal\n",
    "\n",
    "phase_folds = analyser.phase_fold_light_curves(\n",
    "    period=p_signal,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfbee8a1",
   "metadata": {},
   "source": [
    "As we can see, each band shows a sinusoidal periodicity at 0.135 Hz. We can also phase bin to make the pulse profile clearer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "56d34cf5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "phase_bins = analyser.phase_bin_light_curves(\n",
    "    period=p_signal,\n",
    "    n_bins=20,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46629648",
   "metadata": {},
   "source": [
    "Now we can see the pulse profiles more clearly. It is also clear from the above plots that there is a lag in the pulsations between the different bands. Let's quantify this.\n",
    "\n",
    "## Lags\n",
    "\n",
    "One of the great things about OPTICAM is that it provides simultaneous three-colour observations. As such, it is possible to search for wavelength-dependent lags; `opticam`'s `Analyzer` class makes this easy via the `compute_cross_correlations()` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "2024f430",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "corrs = analyser.compute_cross_correlations()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cc4e239c",
   "metadata": {},
   "source": [
    "The `compute_cross_correlations()` method computes the cross-correlations between each pair of light curves in the `Analyzer` instance. As we can see from the above plot, the $r$-band lags the $g$-band by 2 s (since the time shift is negative, the second filter lags the first filter), and the $i$-band lags the $r$-band by 2 s as well. The true lag between these bands is a quarter period; since the period is $1 / 0.135 = 7.4$ s, this is 1.85 s. Within the time resolution of our light curves (1 s), we can therefore correctly recover the lag.\n",
    "\n",
    "## Using `stingray` Directly\n",
    "\n",
    "### A Cautionary Tale\n",
    "\n",
    "Since `Analyzer` stores light curves as `stingray.Lightcurve` instances, we can pass them directly to a number of `stingray` timing analysis routines. However, `stingray` assumes light curves are in units of counts with Poisson errors, while our light curves are relative (unitless) with Gaussian errors. As such, care must be taken in regards to units (e.g., in normalisations), and some routines either won't work as expected or won't work at all. As an instructive example, let's say we want to compute the cross spectrum between our $g$- and $r$-band light curves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "dc7360e5",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "5it [00:00, 5283.83it/s]\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/fourier.py:1134: UserWarning: n_ave is below 30. Please note that the error bars on the quantities derived from the cross spectrum are only reliable for a large number of averaged powers.\n",
      "  warnings.warn(\n",
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/fourier.py:1161: RuntimeWarning: invalid value encountered in sqrt\n",
      "  dphi = np.sqrt((1 - gsq) / (2 * gsq * n_ave))\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from stingray import AveragedCrossspectrum\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "avg_cs = AveragedCrossspectrum.from_lightcurve(\n",
    "    lc1=analyser.light_curves['g-band'],\n",
    "    lc2=analyser.light_curves['r-band'],\n",
    "    norm='frac',\n",
    "    segment_size=(50 * u.s).to_value(u.d),  # stingray assumes all time values are in seconds but OPTICAM uses Barycentric MJD\n",
    ")\n",
    "\n",
    "avg_cs_amplitude = np.abs(avg_cs.power)\n",
    "\n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.step(\n",
    "    avg_cs.freq / 86400,  # convert freq from cyc/d to Hz\n",
    "    avg_cs_amplitude,\n",
    "    where='mid',\n",
    "    c='k',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f1fc122",
   "metadata": {},
   "source": [
    "That looks how we'd expect. So far so good. Let's try to compute the coherence between these two light curves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "6fcabe0b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/zac/miniforge3/envs/opticam/lib/python3.13/site-packages/stingray/utils.py:486: UserWarning: SIMON says: Number of segments used in averaging is significantly low. The result might not follow the expected statistical distributions.\n",
      "  warnings.warn(\"SIMON says: {0}\".format(message), **kwargs)\n"
     ]
    },
    {
     "ename": "ValueError",
     "evalue": "'yerr' must not contain negative values",
     "output_type": "error",
     "traceback": [
      "\u001b[31m---------------------------------------------------------------------------\u001b[39m",
      "\u001b[31mValueError\u001b[39m                                Traceback (most recent call last)",
      "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[13]\u001b[39m\u001b[32m, line 5\u001b[39m\n\u001b[32m      1\u001b[39m fig, ax = plt.subplots(tight_layout=\u001b[38;5;28;01mTrue\u001b[39;00m)\n\u001b[32m      3\u001b[39m coh, coh_err = avg_cs.coherence()\n\u001b[32m----> \u001b[39m\u001b[32m5\u001b[39m \u001b[43max\u001b[49m\u001b[43m.\u001b[49m\u001b[43merrorbar\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m      6\u001b[39m \u001b[43m    \u001b[49m\u001b[43mavg_cs\u001b[49m\u001b[43m.\u001b[49m\u001b[43mfreq\u001b[49m\u001b[43m \u001b[49m\u001b[43m/\u001b[49m\u001b[43m \u001b[49m\u001b[32;43m86400\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m      7\u001b[39m \u001b[43m    \u001b[49m\u001b[43mcoh\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m      8\u001b[39m \u001b[43m    \u001b[49m\u001b[43mcoh_err\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m      9\u001b[39m \u001b[43m    \u001b[49m\u001b[43mc\u001b[49m\u001b[43m=\u001b[49m\u001b[33;43m'\u001b[39;49m\u001b[33;43mblack\u001b[39;49m\u001b[33;43m'\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[32m     10\u001b[39m \u001b[43m)\u001b[49m\n\u001b[32m     12\u001b[39m ax.set_xlabel(\u001b[33m'\u001b[39m\u001b[33mFrequency [Hz]\u001b[39m\u001b[33m'\u001b[39m)\n\u001b[32m     13\u001b[39m ax.set_ylabel(\u001b[33m'\u001b[39m\u001b[33mCoherence\u001b[39m\u001b[33m'\u001b[39m)\n",
      "\u001b[36mFile \u001b[39m\u001b[32m~/miniforge3/envs/opticam/lib/python3.13/site-packages/matplotlib/__init__.py:1473\u001b[39m, in \u001b[36m_preprocess_data.<locals>.inner\u001b[39m\u001b[34m(ax, data, *args, **kwargs)\u001b[39m\n\u001b[32m   1470\u001b[39m \u001b[38;5;129m@functools\u001b[39m.wraps(func)\n\u001b[32m   1471\u001b[39m \u001b[38;5;28;01mdef\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34minner\u001b[39m(ax, *args, data=\u001b[38;5;28;01mNone\u001b[39;00m, **kwargs):\n\u001b[32m   1472\u001b[39m     \u001b[38;5;28;01mif\u001b[39;00m data \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[32m-> \u001b[39m\u001b[32m1473\u001b[39m         \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfunc\u001b[49m\u001b[43m(\u001b[49m\n\u001b[32m   1474\u001b[39m \u001b[43m            \u001b[49m\u001b[43max\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m   1475\u001b[39m \u001b[43m            \u001b[49m\u001b[43m*\u001b[49m\u001b[38;5;28;43mmap\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43msanitize_sequence\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\n\u001b[32m   1476\u001b[39m \u001b[43m            \u001b[49m\u001b[43m*\u001b[49m\u001b[43m*\u001b[49m\u001b[43m{\u001b[49m\u001b[43mk\u001b[49m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[43msanitize_sequence\u001b[49m\u001b[43m(\u001b[49m\u001b[43mv\u001b[49m\u001b[43m)\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43;01mfor\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mk\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mv\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;129;43;01min\u001b[39;49;00m\u001b[43m \u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m.\u001b[49m\u001b[43mitems\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\u001b[43m}\u001b[49m\u001b[43m)\u001b[49m\n\u001b[32m   1478\u001b[39m     bound = new_sig.bind(ax, *args, **kwargs)\n\u001b[32m   1479\u001b[39m     auto_label = (bound.arguments.get(label_namer)\n\u001b[32m   1480\u001b[39m                   \u001b[38;5;129;01mor\u001b[39;00m bound.kwargs.get(label_namer))\n",
      "\u001b[36mFile \u001b[39m\u001b[32m~/miniforge3/envs/opticam/lib/python3.13/site-packages/matplotlib/axes/_axes.py:3743\u001b[39m, in \u001b[36mAxes.errorbar\u001b[39m\u001b[34m(self, x, y, yerr, xerr, fmt, ecolor, elinewidth, capsize, barsabove, lolims, uplims, xlolims, xuplims, errorevery, capthick, **kwargs)\u001b[39m\n\u001b[32m   3740\u001b[39m res = np.zeros(err.shape, dtype=\u001b[38;5;28mbool\u001b[39m)  \u001b[38;5;66;03m# Default in case of nan\u001b[39;00m\n\u001b[32m   3741\u001b[39m \u001b[38;5;28;01mif\u001b[39;00m np.any(np.less(err, -err, out=res, where=(err == err))):\n\u001b[32m   3742\u001b[39m     \u001b[38;5;66;03m# like err<0, but also works for timedelta and nan.\u001b[39;00m\n\u001b[32m-> \u001b[39m\u001b[32m3743\u001b[39m     \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\n\u001b[32m   3744\u001b[39m         \u001b[33mf\u001b[39m\u001b[33m\"\u001b[39m\u001b[33m'\u001b[39m\u001b[38;5;132;01m{\u001b[39;00mdep_axis\u001b[38;5;132;01m}\u001b[39;00m\u001b[33merr\u001b[39m\u001b[33m'\u001b[39m\u001b[33m must not contain negative values\u001b[39m\u001b[33m\"\u001b[39m)\n\u001b[32m   3745\u001b[39m \u001b[38;5;66;03m# This is like\u001b[39;00m\n\u001b[32m   3746\u001b[39m \u001b[38;5;66;03m#     elow, ehigh = np.broadcast_to(...)\u001b[39;00m\n\u001b[32m   3747\u001b[39m \u001b[38;5;66;03m#     return dep - elow * ~lolims, dep + ehigh * ~uplims\u001b[39;00m\n\u001b[32m   3748\u001b[39m \u001b[38;5;66;03m# except that broadcast_to would strip units.\u001b[39;00m\n\u001b[32m   3749\u001b[39m low, high = dep + np.vstack([-(\u001b[32m1\u001b[39m - lolims), \u001b[32m1\u001b[39m - uplims]) * err\n",
      "\u001b[31mValueError\u001b[39m: 'yerr' must not contain negative values"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "coh, coh_err = avg_cs.coherence()\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq / 86400,\n",
    "    coh,\n",
    "    coh_err,\n",
    "    c='black',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Coherence')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f9d4bb2",
   "metadata": {},
   "source": [
    "We get negative coherence errors, which is obviously unphysical, and we can't even plot the it. This is due to how `stingray` is computing the cross spectrum (assuming Poisson statistics). Since we know the phase lag between these two light curves, let's see what happens if we try to compute it from the averaged cross spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "22bc3840",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plags, plags_err = avg_cs.phase_lag()\n",
    "\n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq / 86400,\n",
    "    plags,\n",
    "    plags_err,\n",
    "    fmt='kx',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    "    label='Lag frequency'\n",
    "    )\n",
    "ax.axhline(\n",
    "    np.pi / 2,\n",
    "    c='blue',\n",
    "    label='Expected lag'\n",
    "    )\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Phase lag [$\\\\pi$]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "367c021e",
   "metadata": {},
   "source": [
    "We get the correct phase lag at the correct frequency. However, we don't seem to have any error bars, and so it's impossible to quantify the significance of this lag. Let's see what our error bars are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "53c5cb83",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan\n",
      " nan nan nan nan nan nan]\n"
     ]
    }
   ],
   "source": [
    "print(plags_err)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4256290a",
   "metadata": {},
   "source": [
    "Our errors are all `NaN`s! This is another consequency of our light curves not having Poisson errors.\n",
    "\n",
    "### A Hacky Fix\n",
    "\n",
    "To work around `stingray`'s requirement for Poisson errors, we can trick it into thinking our relative light curves are actually in units of counts by scaling them by a suitably large value (e.g., 10,000). We'll also want to convert the time values from Barycentric MJD to seconds:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "04c49788",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "5it [00:00, 6434.96it/s]\n"
     ]
    }
   ],
   "source": [
    "from stingray import Lightcurve\n",
    "\n",
    "lc = analyser.light_curves['g-band']\n",
    "t_ref = np.min(lc.time)\n",
    "t = 86400 * (lc.time - t_ref)  # convert time from MJD to s\n",
    "gti = 86400 * (lc.gti - t_ref)  # convert GTIs from MJD to s\n",
    "f = lc.counts * 10000  # scale fluxes so stingray thinks they're counts\n",
    "g_lc = Lightcurve(t, f, gti=gti)  # do not pass errors or define err_dist\n",
    "\n",
    "lc = analyser.light_curves['r-band']\n",
    "t = 86400 * (lc.time - t_ref)  # convert time from MJD to s\n",
    "gti = 86400 * (lc.gti - t_ref)  # convert GTIs from MJD to s\n",
    "f = lc.counts * 10000  # scale fluxes so stingray thinks they're counts\n",
    "r_lc = Lightcurve(t, f, gti=gti)  # do not pass errors or define err_dist\n",
    "\n",
    "avg_cs = AveragedCrossspectrum.from_lightcurve(\n",
    "    g_lc,\n",
    "    r_lc,\n",
    "    segment_size=50,  # segment size in seconds\n",
    "    norm='frac',\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c850f28f",
   "metadata": {},
   "source": [
    "The fractional RMS normalisation (`norm='frac'`) is scale-invariant, so it should give us the same averaged periodogram as before (provided we use the same segment length). Let's verify this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "58254a51",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "5it [00:00, 14453.15it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "True\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "from stingray import AveragedPowerspectrum\n",
    "\n",
    "avg_ps = AveragedPowerspectrum.from_lightcurve(\n",
    "    g_lc,\n",
    "    segment_size=50,\n",
    "    norm='frac',\n",
    "    )\n",
    "\n",
    "print(np.allclose(avg_ps.power, averaged_periodograms['g-band'].power))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4c3449d2",
   "metadata": {},
   "source": [
    "As we can see, our scaled $g$-band light curve gives the same averaged power spectrum as our initial relative light curve. Let's now try to compute the averaged cross spectrum, coherence, and phase lags using our scaled light curves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "fb3cb353",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.step(\n",
    "    avg_cs.freq,\n",
    "    avg_cs_amplitude,\n",
    "    where='mid',\n",
    "    c='k',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Power [(frac. rms)$^2$ / Hz]')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c2c56b8",
   "metadata": {},
   "source": [
    "As with the averaged power spectrum, the averaged cross spectrum looks the same as before (since we're using `norm=\"frac\"`). Again, so far so good. Let's see if we can compute the coherence this time:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "841fd70c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "coh, coh_err = avg_cs.coherence()\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq,\n",
    "    coh,\n",
    "    coh_err,\n",
    "    c='black',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    ")\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Coherence')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e976dba",
   "metadata": {},
   "source": [
    "We have a coherence plot! We can see that the coherence is generally quite noisy, as we would expect for noisy light curves. At the frequency of variability, however, the coherence peaks. This is expected because we know both light curves show sinusoidal variability at this frequency.\n",
    "\n",
    "Let's see how the phase lags look now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "30d928ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plags, plags_err = avg_cs.phase_lag()\n",
    "\n",
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.errorbar(\n",
    "    avg_cs.freq,\n",
    "    plags,\n",
    "    plags_err,\n",
    "    fmt='kx',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    "    label='Lag frequency'\n",
    "    )\n",
    "ax.axhline(\n",
    "    np.pi / 2,\n",
    "    c='blue',\n",
    "    label='Expected lag'\n",
    "    )\n",
    "ax.axhline(\n",
    "    0,\n",
    "    c='black',\n",
    "    ls='--'\n",
    "    )\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Phase lag')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "939fbfce",
   "metadata": {},
   "source": [
    "We have errors on our phase lags! Let's quantify the significance of the lag:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "110d0b7e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(tight_layout=True)\n",
    "\n",
    "ax.step(\n",
    "    avg_cs.freq,\n",
    "    plags / plags_err,\n",
    "    where='mid',\n",
    "    c='black',\n",
    ")\n",
    "\n",
    "ax.fill_between(\n",
    "    ax.set_xlim(),\n",
    "    -5, 5,\n",
    "    color='grey',\n",
    "    alpha=.5,\n",
    "    edgecolor='none',\n",
    ")\n",
    "\n",
    "ax.axvline(\n",
    "    0.135,\n",
    "    c='red',\n",
    "    label='Lag frequency'\n",
    "    )\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "ax.set_xlabel('Frequency [Hz]')\n",
    "ax.set_ylabel('Phase lag significance')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2943f80",
   "metadata": {},
   "source": [
    "Now we can see that the phase lag is highly significant ($> 30 \\sigma$)!\n",
    "\n",
    "That concludes the timing methods tutorial for `opticam`! The timing methods of `Analyzer` demonstrated here are intended as \"quick-look\" analyses, while more complete analyses are made easy thanks to `stingray`. Note that special care (and hacky workarounds) may be needed to get the most out of `stingray`."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "opticam",
   "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": "3.13.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}