{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # only need to import the function you want to use\n",
    "#     # secondary functions, that are called within the imported one, don't need to be importex explicitly\n",
    "# from volume_change import V_von_h\n",
    "\n",
    "# V_von_h(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create in and outflux vectors\n",
    "import numpy as np\n",
    "from numpy import cos,sin\n",
    "from volume_change import V_h_test_1,h_V_test_1,V_h_test_2,h_V_test_2\n",
    "\n",
    "\n",
    "t_max = 2600\n",
    "timestep = 10**-2\n",
    "time = np.arange(0,t_max,timestep)\n",
    "\n",
    "#scaling factor in_out\n",
    "# sf_in_out = 1000\n",
    "# influx = sf_in_out*cos(time)*np.exp(-0.01*time)+0.01*time\n",
    "# outflux = sf_in_out*sin(0.5*time)*np.exp(-0.01*time)\n",
    "# scaling factor in_out\n",
    "influx = 75*np.ones_like(time)\n",
    "outflux = 0.001*time**1.75\n",
    "outflux[outflux > 90] = 90\n",
    "\n",
    "\n",
    "h_0 = 0\n",
    "\n",
    "V_t = np.empty_like(time)\n",
    "h_t = np.empty_like(time)\n",
    "delta_Q = np.empty_like(time)\n",
    "delta_V = np.empty_like(time)\n",
    "\n",
    "for i in range(len(time)):\n",
    "    delta_Q[i] = influx[i]-outflux[i]\n",
    "    delta_V[i] = delta_Q[i]*timestep\n",
    "    if i == 0:\n",
    "        V_t[0] = V_h_test_2(h_0)\n",
    "    else:\n",
    "        V_t[i] = V_t[i-1]+delta_V[i]\n",
    "    \n",
    "    h_t[i] = h_V_test_2(V_t[i])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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          1982,
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          1983,
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          2016.95,
          2016.96,
          2016.97,
          2016.98,
          2016.99,
          2017,
          2017.01,
          2017.02,
          2017.03,
          2017.04,
          2017.05,
          2017.06,
          2017.07,
          2017.0800000000002,
          2017.0900000000001,
          2017.1000000000001,
          2017.1100000000001,
          2017.1200000000001,
          2017.13,
          2017.14,
          2017.15,
          2017.16,
          2017.17,
          2017.18,
          2017.19,
          2017.2,
          2017.21,
          2017.22,
          2017.23,
          2017.24,
          2017.25,
          2017.26,
          2017.27,
          2017.28,
          2017.29,
          2017.3,
          2017.31,
          2017.32,
          2017.3300000000002,
          2017.3400000000001,
          2017.3500000000001,
          2017.3600000000001,
          2017.3700000000001,
          2017.38,
          2017.39,
          2017.4,
          2017.41,
          2017.42,
          2017.43,
          2017.44,
          2017.45,
          2017.46,
          2017.47,
          2017.48,
          2017.49,
          2017.5,
          2017.51,
          2017.52,
          2017.53,
          2017.54,
          2017.55,
          2017.56,
          2017.57,
          2017.5800000000002,
          2017.5900000000001,
          2017.6000000000001,
          2017.6100000000001,
          2017.6200000000001,
          2017.63,
          2017.64,
          2017.65,
          2017.66,
          2017.67,
          2017.68,
          2017.69,
          2017.7,
          2017.71,
          2017.72,
          2017.73,
          2017.74,
          2017.75,
          2017.76,
          2017.77,
          2017.78,
          2017.79,
          2017.8,
          2017.81,
          2017.82,
          2017.8300000000002,
          2017.8400000000001,
          2017.8500000000001,
          2017.8600000000001,
          2017.8700000000001,
          2017.88,
          2017.89,
          2017.9,
          2017.91,
          2017.92,
          2017.93,
          2017.94,
          2017.95,
          2017.96,
          2017.97,
          2017.98,
          2017.99,
          2018,
          2018.01,
          2018.02,
          2018.03,
          2018.04,
          2018.05,
          2018.06,
          2018.07,
          2018.0800000000002,
          2018.0900000000001,
          2018.1000000000001,
          2018.1100000000001,
          2018.1200000000001,
          2018.13,
          2018.14,
          2018.15,
          2018.16,
          2018.17,
          2018.18,
          2018.19,
          2018.2,
          2018.21,
          2018.22,
          2018.23,
          2018.24,
          2018.25,
          2018.26,
          2018.27,
          2018.28,
          2018.29,
          2018.3,
          2018.31,
          2018.32,
          2018.3300000000002,
          2018.3400000000001,
          2018.3500000000001,
          2018.3600000000001,
          2018.3700000000001,
          2018.38,
          2018.39,
          2018.4,
          2018.41,
          2018.42,
          2018.43,
          2018.44,
          2018.45,
          2018.46,
          2018.47,
          2018.48,
          2018.49,
          2018.5,
          2018.51,
          2018.52,
          2018.53,
          2018.54,
          2018.55,
          2018.56,
          2018.57,
          2018.5800000000002,
          2018.5900000000001,
          2018.6000000000001,
          2018.6100000000001,
          2018.6200000000001,
          2018.63,
          2018.64,
          2018.65,
          2018.66,
          2018.67,
          2018.68,
          2018.69,
          2018.7,
          2018.71,
          2018.72,
          2018.73,
          2018.74,
          2018.75,
          2018.76,
          2018.77,
          2018.78,
          2018.79,
          2018.8,
          2018.81,
          2018.82,
          2018.8300000000002,
          2018.8400000000001,
          2018.8500000000001,
          2018.8600000000001,
          2018.8700000000001,
          2018.88,
          2018.89,
          2018.9,
          2018.91,
          2018.92,
          2018.93,
          2018.94,
          2018.95,
          2018.96,
          2018.97,
          2018.98,
          2018.99,
          2019,
          2019.01,
          2019.02,
          2019.03,
          2019.04,
          2019.05,
          2019.06,
          2019.07,
          2019.0800000000002,
          2019.0900000000001,
          2019.1000000000001,
          2019.1100000000001,
          2019.1200000000001,
          2019.13,
          2019.14,
          2019.15,
          2019.16,
          2019.17,
          2019.18,
          2019.19,
          2019.2,
          2019.21,
          2019.22,
          2019.23,
          2019.24,
          2019.25,
          2019.26,
          2019.27,
          2019.28,
          2019.29,
          2019.3,
          2019.31,
          2019.32,
          2019.3300000000002,
          2019.3400000000001,
          2019.3500000000001,
          2019.3600000000001,
          2019.3700000000001,
          2019.38,
          2019.39,
          2019.4,
          2019.41,
          2019.42,
          2019.43,
          2019.44,
          2019.45,
          2019.46,
          2019.47,
          2019.48,
          2019.49,
          2019.5,
          2019.51,
          2019.52,
          2019.53,
          2019.54,
          2019.55,
          2019.56,
          2019.57,
          2019.5800000000002,
          2019.5900000000001,
          2019.6000000000001,
          2019.6100000000001,
          2019.6200000000001,
          2019.63,
          2019.64,
          2019.65,
          2019.66,
          2019.67,
          2019.68,
          2019.69,
          2019.7,
          2019.71,
          2019.72,
          2019.73,
          2019.74,
          2019.75,
          2019.76,
          2019.77,
          2019.78,
          2019.79,
          2019.8,
          2019.81,
          2019.82,
          2019.8300000000002,
          2019.8400000000001,
          2019.8500000000001,
          2019.8600000000001,
          2019.8700000000001,
          2019.88,
          2019.89,
          2019.9,
          2019.91,
          2019.92,
          2019.93,
          2019.94,
          2019.95,
          2019.96,
          2019.97,
          2019.98,
          2019.99,
          2020,
          2020.01,
          2020.02,
          2020.03,
          2020.04,
          2020.05,
          2020.06,
          2020.07,
          2020.0800000000002,
          2020.0900000000001,
          2020.1000000000001,
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          2020.1200000000001,
          2020.13,
          2020.14,
          2020.15,
          2020.16,
          2020.17,
          2020.18,
          2020.19,
          2020.2,
          2020.21,
          2020.22,
          2020.23,
          2020.24,
          2020.25,
          2020.26,
          2020.27,
          2020.28,
          2020.29,
          2020.3,
          2020.31,
          2020.32,
          2020.3300000000002,
          2020.3400000000001,
          2020.3500000000001,
          2020.3600000000001,
          2020.3700000000001,
          2020.38,
          2020.39,
          2020.4,
          2020.41,
          2020.42,
          2020.43,
          2020.44,
          2020.45,
          2020.46,
          2020.47,
          2020.48,
          2020.49,
          2020.5,
          2020.51,
          2020.52,
          2020.53,
          2020.54,
          2020.55,
          2020.56,
          2020.57,
          2020.5800000000002,
          2020.5900000000001,
          2020.6000000000001,
          2020.6100000000001,
          2020.6200000000001,
          2020.63,
          2020.64,
          2020.65,
          2020.66,
          2020.67,
          2020.68,
          2020.69,
          2020.7,
          2020.71,
          2020.72,
          2020.73,
          2020.74,
          2020.75,
          2020.76,
          2020.77,
          2020.78,
          2020.79,
          2020.8,
          2020.81,
          2020.82,
          2020.8300000000002,
          2020.8400000000001,
          2020.8500000000001,
          2020.8600000000001,
          2020.8700000000001,
          2020.88,
          2020.89,
          2020.9,
          2020.91,
          2020.92,
          2020.93,
          2020.94,
          2020.95,
          2020.96,
          2020.97,
          2020.98,
          2020.99,
          2021,
          2021.01,
          2021.02,
          2021.03,
          2021.04,
          2021.05,
          2021.06,
          2021.07,
          2021.0800000000002,
          2021.0900000000001,
          2021.1000000000001,
          2021.1100000000001,
          2021.1200000000001,
          2021.13,
          2021.14,
          2021.15,
          2021.16,
          2021.17,
          2021.18,
          2021.19,
          2021.2,
          2021.21,
          2021.22,
          2021.23,
          2021.24,
          2021.25,
          2021.26,
          2021.27,
          2021.28,
          2021.29,
          2021.3,
          2021.31,
          2021.32,
          2021.3300000000002,
          2021.3400000000001,
          2021.3500000000001,
          2021.3600000000001,
          2021.3700000000001,
          2021.38,
          2021.39,
          2021.4,
          2021.41,
          2021.42,
          2021.43,
          2021.44,
          2021.45,
          2021.46,
          2021.47,
          2021.48,
          2021.49,
          2021.5,
          2021.51,
          2021.52,
          2021.53,
          2021.54,
          2021.55,
          2021.56,
          2021.57,
          2021.5800000000002,
          2021.5900000000001,
          2021.6000000000001,
          2021.6100000000001,
          2021.6200000000001,
          2021.63,
          2021.64,
          2021.65,
          2021.66,
          2021.67,
          2021.68,
          2021.69,
          2021.7,
          2021.71,
          2021.72,
          2021.73,
          2021.74,
          2021.75,
          2021.76,
          2021.77,
          2021.78,
          2021.79,
          2021.8,
          2021.81,
          2021.82,
          2021.8300000000002,
          2021.8400000000001,
          2021.8500000000001,
          2021.8600000000001,
          2021.8700000000001,
          2021.88,
          2021.89,
          2021.9,
          2021.91,
          2021.92,
          2021.93,
          2021.94,
          2021.95,
          2021.96,
          2021.97,
          2021.98,
          2021.99,
          2022,
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          2022.06,
          2022.07,
          2022.0800000000002,
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          2022.15,
          2022.16,
          2022.17,
          2022.18,
          2022.19,
          2022.2,
          2022.21,
          2022.22,
          2022.23,
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          2022.27,
          2022.28,
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          2022.3,
          2022.31,
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          2022.3300000000002,
          2022.3400000000001,
          2022.3500000000001,
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          2022.3700000000001,
          2022.38,
          2022.39,
          2022.4,
          2022.41,
          2022.42,
          2022.43,
          2022.44,
          2022.45,
          2022.46,
          2022.47,
          2022.48,
          2022.49,
          2022.5,
          2022.51,
          2022.52,
          2022.53,
          2022.54,
          2022.55,
          2022.56,
          2022.57,
          2022.5800000000002,
          2022.5900000000001,
          2022.6000000000001,
          2022.6100000000001,
          2022.6200000000001,
          2022.63,
          2022.64,
          2022.65,
          2022.66,
          2022.67,
          2022.68,
          2022.69,
          2022.7,
          2022.71,
          2022.72,
          2022.73,
          2022.74,
          2022.75,
          2022.76,
          2022.77,
          2022.78,
          2022.79,
          2022.8,
          2022.81,
          2022.82,
          2022.8300000000002,
          2022.8400000000001,
          2022.8500000000001,
          2022.8600000000001,
          2022.8700000000001,
          2022.88,
          2022.89,
          2022.9,
          2022.91,
          2022.92,
          2022.93,
          2022.94,
          2022.95,
          2022.96,
          2022.97,
          2022.98,
          2022.99,
          2023,
          2023.01,
          2023.02,
          2023.03,
          2023.04,
          2023.05,
          2023.06,
          2023.07,
          2023.0800000000002,
          2023.0900000000001,
          2023.1000000000001,
          2023.1100000000001,
          2023.1200000000001,
          2023.13,
          2023.14,
          2023.15,
          2023.16,
          2023.17,
          2023.18,
          2023.19,
          2023.2,
          2023.21,
          2023.22,
          2023.23,
          2023.24,
          2023.25,
          2023.26,
          2023.27,
          2023.28,
          2023.29,
          2023.3,
          2023.31,
          2023.32,
          2023.3300000000002,
          2023.3400000000001,
          2023.3500000000001,
          2023.3600000000001,
          2023.3700000000001,
          2023.38,
          2023.39,
          2023.4,
          2023.41,
          2023.42,
          2023.43,
          2023.44,
          2023.45,
          2023.46,
          2023.47,
          2023.48,
          2023.49,
          2023.5,
          2023.51,
          2023.52,
          2023.53,
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          2023.55,
          2023.56,
          2023.57,
          2023.5800000000002,
          2023.5900000000001,
          2023.6000000000001,
          2023.6100000000001,
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          2023.63,
          2023.64,
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          2023.7,
          2023.71,
          2023.72,
          2023.73,
          2023.74,
          2023.75,
          2023.76,
          2023.77,
          2023.78,
          2023.79,
          2023.8,
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          2023.8400000000001,
          2023.8500000000001,
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          2023.8700000000001,
          2023.88,
          2023.89,
          2023.9,
          2023.91,
          2023.92,
          2023.93,
          2023.94,
          2023.95,
          2023.96,
          2023.97,
          2023.98,
          2023.99,
          2024,
          2024.01,
          2024.02,
          2024.03,
          2024.04,
          2024.05,
          2024.06,
          2024.07,
          2024.0800000000002,
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          2024.13,
          2024.14,
          2024.15,
          2024.16,
          2024.17,
          2024.18,
          2024.19,
          2024.2,
          2024.21,
          2024.22,
          2024.23,
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          2024.25,
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          2024.27,
          2024.28,
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          2024.3,
          2024.31,
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          2024.3300000000002,
          2024.3400000000001,
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          2024.3700000000001,
          2024.38,
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          2024.4,
          2024.41,
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          2024.47,
          2024.48,
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          2024.5,
          2024.51,
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          2024.55,
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          2025,
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          2026,
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          1969.42,
          1969.43,
          1969.44,
          1969.45,
          1969.46,
          1969.47,
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          1969.49,
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          1969.97,
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          1969.99,
          1970,
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          1970.2,
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          1970.27,
          1970.28,
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          1971,
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          1971.27,
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          1972,
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          1973,
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          1974,
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          1974.99,
          1975,
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          1975.7,
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          1975.97,
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          1975.99,
          1976,
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          1976.0800000000002,
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          1976.19,
          1976.2,
          1976.21,
          1976.22,
          1976.23,
          1976.24,
          1976.25,
          1976.26,
          1976.27,
          1976.28,
          1976.29,
          1976.3,
          1976.31,
          1976.32,
          1976.3300000000002,
          1976.3400000000001,
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          1976.38,
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          1976.44,
          1976.45,
          1976.46,
          1976.47,
          1976.48,
          1976.49,
          1976.5,
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          1976.7,
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          1976.73,
          1976.74,
          1976.75,
          1976.76,
          1976.77,
          1976.78,
          1976.79,
          1976.8,
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          1976.99,
          1977,
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          1977.0800000000002,
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          1977.19,
          1977.2,
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          1977.23,
          1977.24,
          1977.25,
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          1977.27,
          1977.28,
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          1977.3300000000002,
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          1977.38,
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          1977.47,
          1977.48,
          1977.49,
          1977.5,
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          1977.7,
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          1977.74,
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          1977.76,
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          1977.79,
          1977.8,
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          1978,
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          1978.0800000000002,
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          1978.2,
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          1978.3300000000002,
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          1978.38,
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          1979,
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          1979.2,
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          1979.25,
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          1979.3300000000002,
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          1979.38,
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          1979.5,
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          1979.7,
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          1979.74,
          1979.75,
          1979.76,
          1979.77,
          1979.78,
          1979.79,
          1979.8,
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          1979.96,
          1979.97,
          1979.98,
          1979.99,
          1980,
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          1980.03,
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          1980.05,
          1980.06,
          1980.07,
          1980.0800000000002,
          1980.0900000000001,
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          1980.13,
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          1980.18,
          1980.19,
          1980.2,
          1980.21,
          1980.22,
          1980.23,
          1980.24,
          1980.25,
          1980.26,
          1980.27,
          1980.28,
          1980.29,
          1980.3,
          1980.31,
          1980.32,
          1980.3300000000002,
          1980.3400000000001,
          1980.3500000000001,
          1980.3600000000001,
          1980.3700000000001,
          1980.38,
          1980.39,
          1980.4,
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          1980.42,
          1980.43,
          1980.44,
          1980.45,
          1980.46,
          1980.47,
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          1982,
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          1983,
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          1983.3300000000002,
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          1984,
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          1985,
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          1985.07,
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          2018.32,
          2018.3300000000002,
          2018.3400000000001,
          2018.3500000000001,
          2018.3600000000001,
          2018.3700000000001,
          2018.38,
          2018.39,
          2018.4,
          2018.41,
          2018.42,
          2018.43,
          2018.44,
          2018.45,
          2018.46,
          2018.47,
          2018.48,
          2018.49,
          2018.5,
          2018.51,
          2018.52,
          2018.53,
          2018.54,
          2018.55,
          2018.56,
          2018.57,
          2018.5800000000002,
          2018.5900000000001,
          2018.6000000000001,
          2018.6100000000001,
          2018.6200000000001,
          2018.63,
          2018.64,
          2018.65,
          2018.66,
          2018.67,
          2018.68,
          2018.69,
          2018.7,
          2018.71,
          2018.72,
          2018.73,
          2018.74,
          2018.75,
          2018.76,
          2018.77,
          2018.78,
          2018.79,
          2018.8,
          2018.81,
          2018.82,
          2018.8300000000002,
          2018.8400000000001,
          2018.8500000000001,
          2018.8600000000001,
          2018.8700000000001,
          2018.88,
          2018.89,
          2018.9,
          2018.91,
          2018.92,
          2018.93,
          2018.94,
          2018.95,
          2018.96,
          2018.97,
          2018.98,
          2018.99,
          2019,
          2019.01,
          2019.02,
          2019.03,
          2019.04,
          2019.05,
          2019.06,
          2019.07,
          2019.0800000000002,
          2019.0900000000001,
          2019.1000000000001,
          2019.1100000000001,
          2019.1200000000001,
          2019.13,
          2019.14,
          2019.15,
          2019.16,
          2019.17,
          2019.18,
          2019.19,
          2019.2,
          2019.21,
          2019.22,
          2019.23,
          2019.24,
          2019.25,
          2019.26,
          2019.27,
          2019.28,
          2019.29,
          2019.3,
          2019.31,
          2019.32,
          2019.3300000000002,
          2019.3400000000001,
          2019.3500000000001,
          2019.3600000000001,
          2019.3700000000001,
          2019.38,
          2019.39,
          2019.4,
          2019.41,
          2019.42,
          2019.43,
          2019.44,
          2019.45,
          2019.46,
          2019.47,
          2019.48,
          2019.49,
          2019.5,
          2019.51,
          2019.52,
          2019.53,
          2019.54,
          2019.55,
          2019.56,
          2019.57,
          2019.5800000000002,
          2019.5900000000001,
          2019.6000000000001,
          2019.6100000000001,
          2019.6200000000001,
          2019.63,
          2019.64,
          2019.65,
          2019.66,
          2019.67,
          2019.68,
          2019.69,
          2019.7,
          2019.71,
          2019.72,
          2019.73,
          2019.74,
          2019.75,
          2019.76,
          2019.77,
          2019.78,
          2019.79,
          2019.8,
          2019.81,
          2019.82,
          2019.8300000000002,
          2019.8400000000001,
          2019.8500000000001,
          2019.8600000000001,
          2019.8700000000001,
          2019.88,
          2019.89,
          2019.9,
          2019.91,
          2019.92,
          2019.93,
          2019.94,
          2019.95,
          2019.96,
          2019.97,
          2019.98,
          2019.99,
          2020,
          2020.01,
          2020.02,
          2020.03,
          2020.04,
          2020.05,
          2020.06,
          2020.07,
          2020.0800000000002,
          2020.0900000000001,
          2020.1000000000001,
          2020.1100000000001,
          2020.1200000000001,
          2020.13,
          2020.14,
          2020.15,
          2020.16,
          2020.17,
          2020.18,
          2020.19,
          2020.2,
          2020.21,
          2020.22,
          2020.23,
          2020.24,
          2020.25,
          2020.26,
          2020.27,
          2020.28,
          2020.29,
          2020.3,
          2020.31,
          2020.32,
          2020.3300000000002,
          2020.3400000000001,
          2020.3500000000001,
          2020.3600000000001,
          2020.3700000000001,
          2020.38,
          2020.39,
          2020.4,
          2020.41,
          2020.42,
          2020.43,
          2020.44,
          2020.45,
          2020.46,
          2020.47,
          2020.48,
          2020.49,
          2020.5,
          2020.51,
          2020.52,
          2020.53,
          2020.54,
          2020.55,
          2020.56,
          2020.57,
          2020.5800000000002,
          2020.5900000000001,
          2020.6000000000001,
          2020.6100000000001,
          2020.6200000000001,
          2020.63,
          2020.64,
          2020.65,
          2020.66,
          2020.67,
          2020.68,
          2020.69,
          2020.7,
          2020.71,
          2020.72,
          2020.73,
          2020.74,
          2020.75,
          2020.76,
          2020.77,
          2020.78,
          2020.79,
          2020.8,
          2020.81,
          2020.82,
          2020.8300000000002,
          2020.8400000000001,
          2020.8500000000001,
          2020.8600000000001,
          2020.8700000000001,
          2020.88,
          2020.89,
          2020.9,
          2020.91,
          2020.92,
          2020.93,
          2020.94,
          2020.95,
          2020.96,
          2020.97,
          2020.98,
          2020.99,
          2021,
          2021.01,
          2021.02,
          2021.03,
          2021.04,
          2021.05,
          2021.06,
          2021.07,
          2021.0800000000002,
          2021.0900000000001,
          2021.1000000000001,
          2021.1100000000001,
          2021.1200000000001,
          2021.13,
          2021.14,
          2021.15,
          2021.16,
          2021.17,
          2021.18,
          2021.19,
          2021.2,
          2021.21,
          2021.22,
          2021.23,
          2021.24,
          2021.25,
          2021.26,
          2021.27,
          2021.28,
          2021.29,
          2021.3,
          2021.31,
          2021.32,
          2021.3300000000002,
          2021.3400000000001,
          2021.3500000000001,
          2021.3600000000001,
          2021.3700000000001,
          2021.38,
          2021.39,
          2021.4,
          2021.41,
          2021.42,
          2021.43,
          2021.44,
          2021.45,
          2021.46,
          2021.47,
          2021.48,
          2021.49,
          2021.5,
          2021.51,
          2021.52,
          2021.53,
          2021.54,
          2021.55,
          2021.56,
          2021.57,
          2021.5800000000002,
          2021.5900000000001,
          2021.6000000000001,
          2021.6100000000001,
          2021.6200000000001,
          2021.63,
          2021.64,
          2021.65,
          2021.66,
          2021.67,
          2021.68,
          2021.69,
          2021.7,
          2021.71,
          2021.72,
          2021.73,
          2021.74,
          2021.75,
          2021.76,
          2021.77,
          2021.78,
          2021.79,
          2021.8,
          2021.81,
          2021.82,
          2021.8300000000002,
          2021.8400000000001,
          2021.8500000000001,
          2021.8600000000001,
          2021.8700000000001,
          2021.88,
          2021.89,
          2021.9,
          2021.91,
          2021.92,
          2021.93,
          2021.94,
          2021.95,
          2021.96,
          2021.97,
          2021.98,
          2021.99,
          2022,
          2022.01,
          2022.02,
          2022.03,
          2022.04,
          2022.05,
          2022.06,
          2022.07,
          2022.0800000000002,
          2022.0900000000001,
          2022.1000000000001,
          2022.1100000000001,
          2022.1200000000001,
          2022.13,
          2022.14,
          2022.15,
          2022.16,
          2022.17,
          2022.18,
          2022.19,
          2022.2,
          2022.21,
          2022.22,
          2022.23,
          2022.24,
          2022.25,
          2022.26,
          2022.27,
          2022.28,
          2022.29,
          2022.3,
          2022.31,
          2022.32,
          2022.3300000000002,
          2022.3400000000001,
          2022.3500000000001,
          2022.3600000000001,
          2022.3700000000001,
          2022.38,
          2022.39,
          2022.4,
          2022.41,
          2022.42,
          2022.43,
          2022.44,
          2022.45,
          2022.46,
          2022.47,
          2022.48,
          2022.49,
          2022.5,
          2022.51,
          2022.52,
          2022.53,
          2022.54,
          2022.55,
          2022.56,
          2022.57,
          2022.5800000000002,
          2022.5900000000001,
          2022.6000000000001,
          2022.6100000000001,
          2022.6200000000001,
          2022.63,
          2022.64,
          2022.65,
          2022.66,
          2022.67,
          2022.68,
          2022.69,
          2022.7,
          2022.71,
          2022.72,
          2022.73,
          2022.74,
          2022.75,
          2022.76,
          2022.77,
          2022.78,
          2022.79,
          2022.8,
          2022.81,
          2022.82,
          2022.8300000000002,
          2022.8400000000001,
          2022.8500000000001,
          2022.8600000000001,
          2022.8700000000001,
          2022.88,
          2022.89,
          2022.9,
          2022.91,
          2022.92,
          2022.93,
          2022.94,
          2022.95,
          2022.96,
          2022.97,
          2022.98,
          2022.99,
          2023,
          2023.01,
          2023.02,
          2023.03,
          2023.04,
          2023.05,
          2023.06,
          2023.07,
          2023.0800000000002,
          2023.0900000000001,
          2023.1000000000001,
          2023.1100000000001,
          2023.1200000000001,
          2023.13,
          2023.14,
          2023.15,
          2023.16,
          2023.17,
          2023.18,
          2023.19,
          2023.2,
          2023.21,
          2023.22,
          2023.23,
          2023.24,
          2023.25,
          2023.26,
          2023.27,
          2023.28,
          2023.29,
          2023.3,
          2023.31,
          2023.32,
          2023.3300000000002,
          2023.3400000000001,
          2023.3500000000001,
          2023.3600000000001,
          2023.3700000000001,
          2023.38,
          2023.39,
          2023.4,
          2023.41,
          2023.42,
          2023.43,
          2023.44,
          2023.45,
          2023.46,
          2023.47,
          2023.48,
          2023.49,
          2023.5,
          2023.51,
          2023.52,
          2023.53,
          2023.54,
          2023.55,
          2023.56,
          2023.57,
          2023.5800000000002,
          2023.5900000000001,
          2023.6000000000001,
          2023.6100000000001,
          2023.6200000000001,
          2023.63,
          2023.64,
          2023.65,
          2023.66,
          2023.67,
          2023.68,
          2023.69,
          2023.7,
          2023.71,
          2023.72,
          2023.73,
          2023.74,
          2023.75,
          2023.76,
          2023.77,
          2023.78,
          2023.79,
          2023.8,
          2023.81,
          2023.82,
          2023.8300000000002,
          2023.8400000000001,
          2023.8500000000001,
          2023.8600000000001,
          2023.8700000000001,
          2023.88,
          2023.89,
          2023.9,
          2023.91,
          2023.92,
          2023.93,
          2023.94,
          2023.95,
          2023.96,
          2023.97,
          2023.98,
          2023.99,
          2024,
          2024.01,
          2024.02,
          2024.03,
          2024.04,
          2024.05,
          2024.06,
          2024.07,
          2024.0800000000002,
          2024.0900000000001,
          2024.1000000000001,
          2024.1100000000001,
          2024.1200000000001,
          2024.13,
          2024.14,
          2024.15,
          2024.16,
          2024.17,
          2024.18,
          2024.19,
          2024.2,
          2024.21,
          2024.22,
          2024.23,
          2024.24,
          2024.25,
          2024.26,
          2024.27,
          2024.28,
          2024.29,
          2024.3,
          2024.31,
          2024.32,
          2024.3300000000002,
          2024.3400000000001,
          2024.3500000000001,
          2024.3600000000001,
          2024.3700000000001,
          2024.38,
          2024.39,
          2024.4,
          2024.41,
          2024.42,
          2024.43,
          2024.44,
          2024.45,
          2024.46,
          2024.47,
          2024.48,
          2024.49,
          2024.5,
          2024.51,
          2024.52,
          2024.53,
          2024.54,
          2024.55,
          2024.56,
          2024.57,
          2024.5800000000002,
          2024.5900000000001,
          2024.6000000000001,
          2024.6100000000001,
          2024.6200000000001,
          2024.63,
          2024.64,
          2024.65,
          2024.66,
          2024.67,
          2024.68,
          2024.69,
          2024.7,
          2024.71,
          2024.72,
          2024.73,
          2024.74,
          2024.75,
          2024.76,
          2024.77,
          2024.78,
          2024.79,
          2024.8,
          2024.81,
          2024.82,
          2024.8300000000002,
          2024.8400000000001,
          2024.8500000000001,
          2024.8600000000001,
          2024.8700000000001,
          2024.88,
          2024.89,
          2024.9,
          2024.91,
          2024.92,
          2024.93,
          2024.94,
          2024.95,
          2024.96,
          2024.97,
          2024.98,
          2024.99,
          2025,
          2025.01,
          2025.02,
          2025.03,
          2025.04,
          2025.05,
          2025.06,
          2025.07,
          2025.0800000000002,
          2025.0900000000001,
          2025.1000000000001,
          2025.1100000000001,
          2025.1200000000001,
          2025.13,
          2025.14,
          2025.15,
          2025.16,
          2025.17,
          2025.18,
          2025.19,
          2025.2,
          2025.21,
          2025.22,
          2025.23,
          2025.24,
          2025.25,
          2025.26,
          2025.27,
          2025.28,
          2025.29,
          2025.3,
          2025.31,
          2025.32,
          2025.3300000000002,
          2025.3400000000001,
          2025.3500000000001,
          2025.3600000000001,
          2025.3700000000001,
          2025.38,
          2025.39,
          2025.4,
          2025.41,
          2025.42,
          2025.43,
          2025.44,
          2025.45,
          2025.46,
          2025.47,
          2025.48,
          2025.49,
          2025.5,
          2025.51,
          2025.52,
          2025.53,
          2025.54,
          2025.55,
          2025.56,
          2025.57,
          2025.5800000000002,
          2025.5900000000001,
          2025.6000000000001,
          2025.6100000000001,
          2025.6200000000001,
          2025.63,
          2025.64,
          2025.65,
          2025.66,
          2025.67,
          2025.68,
          2025.69,
          2025.7,
          2025.71,
          2025.72,
          2025.73,
          2025.74,
          2025.75,
          2025.76,
          2025.77,
          2025.78,
          2025.79,
          2025.8,
          2025.81,
          2025.82,
          2025.8300000000002,
          2025.8400000000001,
          2025.8500000000001,
          2025.8600000000001,
          2025.8700000000001,
          2025.88,
          2025.89,
          2025.9,
          2025.91,
          2025.92,
          2025.93,
          2025.94,
          2025.95,
          2025.96,
          2025.97,
          2025.98,
          2025.99,
          2026,
          2026.01,
          2026.02,
          2026.03,
          2026.04,
          2026.05,
          2026.06,
          2026.07,
          2026.0800000000002,
          2026.0900000000001,
          2026.1000000000001,
          2026.1100000000001,
          2026.1200000000001,
          2026.13,
          2026.14,
          2026.15,
          2026.16,
          2026.17,
          2026.18,
          2026.19,
          2026.2,
          2026.21,
          2026.22,
          2026.23,
          2026.24,
          2026.25,
          2026.26,
          2026.27,
          2026.28,
          2026.29,
          2026.3,
          2026.31,
          2026.32,
          2026.3300000000002,
          2026.3400000000001,
          2026.3500000000001,
          2026.3600000000001,
          2026.3700000000001,
          2026.38,
          2026.39,
          2026.4,
          2026.41,
          2026.42,
          2026.43,
          2026.44,
          2026.45,
          2026.46,
          2026.47,
          2026.48,
          2026.49,
          2026.5,
          2026.51,
          2026.52,
          2026.53,
          2026.54,
          2026.55,
          2026.56,
          2026.57,
          2026.5800000000002,
          2026.5900000000001,
          2026.6000000000001,
          2026.6100000000001,
          2026.6200000000001,
          2026.63,
          2026.64,
          2026.65,
          2026.66,
          2026.67,
          2026.68,
          2026.69,
          2026.7,
          2026.71,
          2026.72,
          2026.73,
          2026.74,
          2026.75,
          2026.76,
          2026.77,
          2026.78,
          2026.79,
          2026.8,
          2026.81,
          2026.82,
          2026.8300000000002,
          2026.8400000000001,
          2026.8500000000001,
          2026.8600000000001,
          2026.8700000000001,
          2026.88,
          2026.89,
          2026.9,
          2026.91,
          2026.92,
          2026.93,
          2026.94,
          2026.95,
          2026.96,
          2026.97,
          2026.98,
          2026.99,
          2027,
          2027.01,
          2027.02,
          2027.03,
          2027.04,
          2027.05,
          2027.06,
          2027.07,
          2027.0800000000002,
          2027.0900000000001,
          2027.1000000000001,
          2027.1100000000001,
          2027.1200000000001,
          2027.13,
          2027.14,
          2027.15,
          2027.16,
          2027.17,
          2027.18,
          2027.19,
          2027.2,
          2027.21,
          2027.22,
          2027.23,
          2027.24,
          2027.25,
          2027.26,
          2027.27,
          2027.28,
          2027.29,
          2027.3,
          2027.31,
          2027.32,
          2027.3300000000002,
          2027.3400000000001,
          2027.3500000000001,
          2027.3600000000001,
          2027.3700000000001,
          2027.38,
          2027.39,
          2027.4,
          2027.41,
          2027.42,
          2027.43,
          2027.44,
          2027.45,
          2027.46,
          2027.47,
          2027.48,
          2027.49,
          2027.5,
          2027.51,
          2027.52,
          2027.53,
          2027.54,
          2027.55,
          2027.56,
          2027.57,
          2027.5800000000002,
          2027.5900000000001,
          2027.6000000000001,
          2027.6100000000001,
          2027.6200000000001,
          2027.63,
          2027.64,
          2027.65,
          2027.66,
          2027.67,
          2027.68,
          2027.69,
          2027.7,
          2027.71,
          2027.72,
          2027.73,
          2027.74,
          2027.75,
          2027.76,
          2027.77,
          2027.78,
          2027.79,
          2027.8,
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          2027.82,
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          2027.8400000000001,
          2027.8500000000001,
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          2027.8700000000001,
          2027.88,
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          2027.9,
          2027.91,
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          2027.93,
          2027.94,
          2027.95,
          2027.96,
          2027.97,
          2027.98,
          2027.99,
          2028,
          2028.01,
          2028.02,
          2028.03,
          2028.04,
          2028.05,
          2028.06,
          2028.07,
          2028.0800000000002,
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          2028.13,
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          2028.15,
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          2028.17,
          2028.18,
          2028.19,
          2028.2,
          2028.21,
          2028.22,
          2028.23,
          2028.24,
          2028.25,
          2028.26,
          2028.27,
          2028.28,
          2028.29,
          2028.3,
          2028.31,
          2028.32,
          2028.3300000000002,
          2028.3400000000001,
          2028.3500000000001,
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   ],
   "source": [
    "import plotly.express as px\n",
    "from plotly.subplots import make_subplots\n",
    "import plotly.graph_objects as go\n",
    "import pandas as pd\n",
    "\n",
    "df = pd.DataFrame(np.transpose([time,influx,outflux,h_t,V_t]),columns=['time','influx','outflux','h_t','V_t'])\n",
    "\n",
    "# print(any(h_t<0))\n",
    "# print(any(h_t>40))\n",
    "\n",
    "fig = make_subplots(3,1)\n",
    "\n",
    "fig.add_trace(go.Scatter(x=df['time'],y=df['h_t']),row=1,col=1)\n",
    "fig.add_trace(go.Scatter(x=df['time'],y=df['V_t']),row=2,col=1)\n",
    "fig.add_trace(go.Scatter(x=df['time'],y=df['influx']),row=3,col=1)\n",
    "fig.add_trace(go.Scatter(x=df['time'],y=df['outflux']),row=3,col=1)\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x:  10\n",
      "d:  10\n"
     ]
    }
   ],
   "source": [
    "from volume_change import show_parameters\n",
    "show_parameters(2)"
   ]
  }
 ],
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