{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a5876222-5cfb-4194-a798-54cd41ed8ddd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "3290dbf6-2ac9-4142-8de0-786acc2b2384",
   "metadata": {},
   "outputs": [],
   "source": [
    "# gpstime of state 111 OFFLOAD_DRMI_ASC\n",
    "# POP18 at that time\n",
    "# kappa c after thermalization at next state 600, or at lockloss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "102098e8-80f5-4615-81a9-2bbde8c86b31",
   "metadata": {},
   "outputs": [],
   "source": [
    "# going back and adding more times from before big shift\n",
    "gpstimes_4 = [1397766815, 1397601305, 1397541030, 1397373140]\n",
    "Pop18_4    = [60,         69,         61,         57]\n",
    "kappaC_4   = [1.005,      1.005,      1.002,      1.000]\n",
    "\n",
    "\n",
    "gpstimes_1 = [1397724189, 1397727419, 1397766804, 1397853899, 1397869029, 1397935749, 1397937909, 1397953389, 1397960409]\n",
    "Pop18_1    = [54,          53,        60,        59,          60,         52,         53,          54,        51]\n",
    "kappaC_1   = [0,           0.997,     1.004,      0.979,      0.958,      0,          0,           0,         0] # 0 means we didn't get there\n",
    "\n",
    "gpstimes_2 = [1397965974, 1397977149, 1398042044]\n",
    "Pop18_2    = [53,         55,         56]\n",
    "kappaC_2   = [0.936,      0.943,      0.980]\n",
    "\n",
    "# skipped some btwn _2 and _3, and within the _3 set\n",
    "gpstimes_3 = [1398743357, 1398912890, 1398921787, 1398988745, 1399178315, 1399203785, 1399282270, 1399368095]\n",
    "Pop18_3    = [65,         64,         68,          68,        60,          60,        61,          64]\n",
    "kappaC_3   = [1.000,      0.988,      1.002,       1.001,     0.996,       1.001,     1.003,       1.001]\n",
    "\n",
    "# Now totally rando times, trying to fill gap\n",
    "gpstimes_5 = [1398743345, 1398734945, 1398664610, 1398575195, 1398384995, 1398276875, 1398083435, 1397691125]\n",
    "Pop18_5    = [64,          68,         66,        63,         62,         66,         61,         64]\n",
    "kappaC_5   = [1.001,       0.994,      1.001,      0.983,     0.983,      0.981,      0.982,      1.004]\n",
    "\n",
    "\n",
    "gpstimes = np.append(gpstimes_1, gpstimes_2)\n",
    "gpstimes = np.append(gpstimes, gpstimes_3)\n",
    "gpstimes = np.append(gpstimes, gpstimes_4)\n",
    "gpstimes = np.append(gpstimes, gpstimes_5)\n",
    "\n",
    "Pop18 = np.append(Pop18_1, Pop18_2)\n",
    "Pop18 = np.append(Pop18, Pop18_3)\n",
    "Pop18 = np.append(Pop18, Pop18_4)\n",
    "Pop18 = np.append(Pop18, Pop18_5)\n",
    "\n",
    "kappaC = np.append(kappaC_1, kappaC_2)\n",
    "kappaC = np.append(kappaC, kappaC_3)\n",
    "kappaC = np.append(kappaC, kappaC_4)\n",
    "kappaC = np.append(kappaC, kappaC_5)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "aa9bd371-f84a-4661-925f-e8701a8a48c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'kappa_c after thermalization')"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, sharex=True, figsize=(10,8))\n",
    "fig.suptitle('POP18 and kappa_C vs time')\n",
    "\n",
    "ax1.plot(gpstimes, Pop18, 'o')\n",
    "ax2.plot(gpstimes, kappaC,'o')\n",
    "ax2.set_ylim([0.93, 1.01])\n",
    "ax1.grid()\n",
    "ax2.grid()\n",
    "ax2.set_xlabel('gpstime')\n",
    "ax1.set_ylabel('POP18 at DRMI ASC')\n",
    "ax2.set_ylabel('kappa_c after thermalization')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "id": "c898aa63-e9f1-4ace-9402-f4ad29593068",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'kappa_c after thermalization')"
      ]
     },
     "execution_count": 111,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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(1, sharex=True)\n",
    "\n",
    "ax.plot(Pop18, kappaC, 'o')\n",
    "ax.set_ylim([.92,1.03])\n",
    "fig.suptitle('POP18 vs kappa_C ')\n",
    "ax.grid()\n",
    "ax.set_xlabel('POP18 at DRMI_ASC')\n",
    "ax.set_ylabel('kappa_c after thermalization')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "id": "398f3d24-c79f-43c3-8d06-d2a696442b34",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'kappa_c after thermalization')"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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(1, sharex=True)\n",
    "\n",
    "ax.plot( kappaC, Pop18, 'o')\n",
    "ax.set_xlim([.92,1.03])\n",
    "fig.suptitle('POP18 vs kappa_C ')\n",
    "ax.grid()\n",
    "ax.set_ylabel('POP18 at DRMI_ASC')\n",
    "ax.set_xlabel('kappa_c after thermalization')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "af092023-896e-41d5-8ca5-e90f7b4e4377",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}