Post_Processing.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Post_Processing of data obtained with Conf_Diss_code\n",
    "\n",
    "Load the data and compute/plot serveral things.\n",
    "\n",
    "### To Do:\n",
    "\n",
    "1. Add checking of conserved quantities $(e,s)$\n",
    "2. Add entropy conputation (to see that grows, that checks lot of things in the code)\n",
    "3. Check for some sort of estationary solutions that remain after the initial data moves."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots, DifferentialEquations, FileIO, JLD2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12-element Vector{String}:\n",
       " \".DS_Store\"\n",
       " \"big_pulse_to_the_right_E_fast.jld2\"\n",
       " \"big_right_long.jld2\"\n",
       " \"big_right_long_fast.jld2\"\n",
       " \"big_right_short_fast.jld2\"\n",
       " \"small_right_p.jld2\"\n",
       " \"speed_pulse.jld2\"\n",
       " \"speed_pulse_initialized.jld2\"\n",
       " \"speed_pulse_initialized_neg.jld2\"\n",
       " \"speed_pulse_initialized_pos.jld2\"\n",
       " \"speed_pulse_long.jld2\"\n",
       " \"square_pulse_short.jld2\""
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pwd()\n",
    "readdir(\"Resultados/Soluciones\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Warning: some parameters could not be resolved for type ODEFunction{true,Main.#evolution_fast,LinearAlgebra.UniformScaling{Bool},Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,typeof(SciMLBase.DEFAULT_OBSERVED),Nothing}; reconstructing\n",
      "└ @ JLD2 /Users/reula/.julia/packages/JLD2/F7wiE/src/data/reconstructing_datatypes.jl:440\n",
      "┌ Warning: some parameters could not be resolved for type ODEFunction{true,Main.#evolution_fast,LinearAlgebra.UniformScaling{Bool},Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,typeof(SciMLBase.DEFAULT_OBSERVED),Nothing}; reconstructing\n",
      "└ @ JLD2 /Users/reula/.julia/packages/JLD2/F7wiE/src/data/reconstructing_datatypes.jl:440\n",
      "┌ Warning: some parameters could not be resolved for type ODEFunction{true,Main.#evolution_fast,LinearAlgebra.UniformScaling{Bool},Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,Nothing,typeof(SciMLBase.DEFAULT_OBSERVED),Nothing}; reconstructing\n",
      "└ @ JLD2 /Users/reula/.julia/packages/JLD2/F7wiE/src/data/reconstructing_datatypes.jl:440\n"
     ]
    }
   ],
   "source": [
    "JLD2.@load \"Resultados/Soluciones/speed_pulse_initialized.jld2\" speed_pulse_initialized\n",
    "JLD2.@load \"Resultados/Soluciones/speed_pulse_initialized_neg.jld2\" speed_pulse_initialized_neg\n",
    "JLD2.@load \"Resultados/Soluciones/speed_pulse.jld2\" speed_pulse\n",
    "#sol_init = load(\"Resultados/Soluciones/speed_pulse_initialized.jld2\",\"\");\n",
    "sol_init = speed_pulse_initialized;\n",
    "sol = speed_pulse;\n",
    "sol_init_neg = speed_pulse_initialized_neg;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "#@save \"out.jld2\" sol\n",
    "#JLD2.@load \"Resultados/Soluciones/solright_p.jld2\" sol"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6000"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ti = sol_init.t[1]\n",
    "length(sol_init(Ti))\n",
    "#sol_init.t[end]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
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       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
       "  1252.82,735.212 1256.27,735.212 1259.72,735.212 1263.17,735.212 1266.62,735.212 1270.06,735.212 1273.51,735.212 1276.96,735.212 1280.41,735.212 1283.86,735.212 \n",
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       "  1459.71,735.212 1463.16,735.212 1466.6,735.212 1470.05,735.212 1473.5,735.212 1476.95,735.212 1480.4,735.212 1483.84,735.212 1487.29,735.212 1490.74,735.212 \n",
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       "  1597.63,735.212 1601.08,735.212 1604.53,735.212 1607.97,735.212 1611.42,735.212 1614.87,735.212 1618.32,735.212 1621.77,735.212 1625.21,735.212 1628.66,735.212 \n",
       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
       "  1666.59,735.212 1670.04,735.212 1673.49,735.212 1676.94,735.212 1680.38,735.212 1683.83,735.212 1687.28,735.212 1690.73,735.212 1694.18,735.212 1697.62,735.212 \n",
       "  1701.07,735.212 1704.52,735.212 1707.97,735.212 1711.42,735.212 1714.86,735.212 1718.31,735.212 1721.76,735.212 1725.21,735.212 1728.66,735.212 1732.1,735.212 \n",
       "  1735.55,735.212 1739,735.212 1742.45,735.212 1745.9,735.212 1749.34,735.212 1752.79,735.212 1756.24,735.212 1759.69,735.212 1763.14,735.212 1766.59,735.212 \n",
       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
       "  1838.99,735.212 1842.44,735.212 1845.89,735.212 1849.34,735.212 1852.79,735.212 1856.23,735.212 1859.68,735.212 1863.13,735.212 1866.58,735.212 1870.03,735.212 \n",
       "  1873.48,735.212 1876.92,735.212 1880.37,735.212 1883.82,735.212 1887.27,735.212 1890.72,735.212 1894.16,735.212 1897.61,735.212 1901.06,735.212 1904.51,735.212 \n",
       "  1907.96,735.212 1911.4,735.212 1914.85,735.212 1918.3,735.212 1921.75,735.212 1925.2,735.212 1928.64,735.212 1932.09,735.212 1935.54,735.212 1938.99,735.212 \n",
       "  1942.44,735.212 1945.88,735.212 1949.33,735.212 1952.78,735.212 1956.23,735.212 1959.68,735.212 1963.12,735.212 1966.57,735.212 1970.02,735.212 1973.47,735.212 \n",
       "  1976.92,735.212 1980.37,735.212 1983.81,735.212 1987.26,735.212 1990.71,735.212 1994.16,735.212 1997.61,735.212 2001.05,735.212 2004.5,735.212 2007.95,735.212 \n",
       "  2011.4,735.212 2014.85,735.212 2018.29,735.212 2021.74,735.212 2025.19,735.212 2028.64,735.212 2032.09,735.212 2035.53,735.212 2038.98,735.212 2042.43,735.212 \n",
       "  2045.88,735.212 2049.33,735.212 2052.77,735.212 2056.22,735.212 2059.67,735.212 2063.12,735.212 2066.57,735.212 2070.01,735.212 2073.46,735.212 2076.91,735.212 \n",
       "  2080.36,735.212 2083.81,735.212 2087.26,735.212 2090.7,735.212 2094.15,735.212 2097.6,735.212 2101.05,735.212 2104.5,735.212 2107.94,735.212 2111.39,735.212 \n",
       "  2114.84,735.212 2118.29,735.212 2121.74,735.212 2125.18,735.212 2128.63,735.212 2132.08,735.212 2135.53,735.212 2138.98,735.212 2142.42,735.212 2145.87,735.212 \n",
       "  2149.32,735.212 2152.77,735.212 2156.22,735.212 2159.66,735.212 2163.11,735.212 2166.56,735.212 2170.01,735.212 2173.46,735.212 2176.9,735.212 2180.35,735.212 \n",
       "  2183.8,735.212 2187.25,735.212 2190.7,735.212 2194.14,735.212 2197.59,735.212 2201.04,735.212 2204.49,735.212 2207.94,735.212 2211.39,735.212 2214.83,735.212 \n",
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       "  1459.71,735.212 1463.16,735.212 1466.6,735.212 1470.05,735.212 1473.5,735.212 1476.95,735.212 1480.4,735.212 1483.84,735.212 1487.29,735.212 1490.74,735.212 \n",
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       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
       "  1666.59,735.212 1670.04,735.212 1673.49,735.212 1676.94,735.212 1680.38,735.212 1683.83,735.212 1687.28,735.212 1690.73,735.212 1694.18,735.212 1697.62,735.212 \n",
       "  1701.07,735.212 1704.52,735.212 1707.97,735.212 1711.42,735.212 1714.86,735.212 1718.31,735.212 1721.76,735.212 1725.21,735.212 1728.66,735.212 1732.1,735.212 \n",
       "  1735.55,735.212 1739,735.212 1742.45,735.212 1745.9,735.212 1749.34,735.212 1752.79,735.212 1756.24,735.212 1759.69,735.212 1763.14,735.212 1766.59,735.212 \n",
       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
       "  1838.99,735.212 1842.44,735.212 1845.89,735.212 1849.34,735.212 1852.79,735.212 1856.23,735.212 1859.68,735.212 1863.13,735.212 1866.58,735.212 1870.03,735.212 \n",
       "  1873.48,735.212 1876.92,735.212 1880.37,735.212 1883.82,735.212 1887.27,735.212 1890.72,735.212 1894.16,735.212 1897.61,735.212 1901.06,735.212 1904.51,735.212 \n",
       "  1907.96,735.212 1911.4,735.212 1914.85,735.212 1918.3,735.212 1921.75,735.212 1925.2,735.212 1928.64,735.212 1932.09,735.212 1935.54,735.212 1938.99,735.212 \n",
       "  1942.44,735.212 1945.88,735.212 1949.33,735.212 1952.78,735.212 1956.23,735.212 1959.68,735.212 1963.12,735.212 1966.57,735.212 1970.02,735.212 1973.47,735.212 \n",
       "  1976.92,735.212 1980.37,735.212 1983.81,735.212 1987.26,735.212 1990.71,735.212 1994.16,735.212 1997.61,735.212 2001.05,735.212 2004.5,735.212 2007.95,735.212 \n",
       "  2011.4,735.212 2014.85,735.212 2018.29,735.212 2021.74,735.212 2025.19,735.212 2028.64,735.212 2032.09,735.212 2035.53,735.212 2038.98,735.212 2042.43,735.212 \n",
       "  2045.88,735.212 2049.33,735.212 2052.77,735.212 2056.22,735.212 2059.67,735.212 2063.12,735.212 2066.57,735.212 2070.01,735.212 2073.46,735.212 2076.91,735.212 \n",
       "  2080.36,735.212 2083.81,735.212 2087.26,735.212 2090.7,735.212 2094.15,735.212 2097.6,735.212 2101.05,735.212 2104.5,735.212 2107.94,735.212 2111.39,735.212 \n",
       "  2114.84,735.212 2118.29,735.212 2121.74,735.212 2125.18,735.212 2128.63,735.212 2132.08,735.212 2135.53,735.212 2138.98,735.212 2142.42,735.212 2145.87,735.212 \n",
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       "  976.979,735.212 980.427,735.212 983.875,735.212 987.323,735.212 990.771,735.212 994.219,735.212 997.667,735.212 1001.12,735.212 1004.56,735.212 1008.01,735.212 \n",
       "  1011.46,735.212 1014.91,735.212 1018.36,735.212 1021.8,735.212 1025.25,735.212 1028.7,735.212 1032.15,735.212 1035.6,735.212 1039.04,735.212 1042.49,735.212 \n",
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       "  1080.42,735.212 1083.87,735.212 1087.32,735.212 1090.76,735.212 1094.21,735.212 1097.66,735.212 1101.11,735.212 1104.56,735.212 1108.01,735.212 1111.45,735.212 \n",
       "  1114.9,735.212 1118.35,735.212 1121.8,735.212 1125.25,735.212 1128.69,735.212 1132.14,735.212 1135.59,735.212 1139.04,735.212 1142.49,735.212 1145.93,735.212 \n",
       "  1149.38,735.212 1152.83,735.212 1156.28,735.212 1159.73,735.212 1163.17,735.212 1166.62,735.212 1170.07,735.212 1173.52,735.212 1176.97,735.212 1180.41,735.212 \n",
       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
       "  1252.82,735.212 1256.27,735.212 1259.72,735.212 1263.17,735.212 1266.62,735.212 1270.06,735.212 1273.51,735.212 1276.96,735.212 1280.41,735.212 1283.86,735.212 \n",
       "  1287.3,735.212 1290.75,735.212 1294.2,735.212 1297.65,735.212 1301.1,735.212 1304.54,735.212 1307.99,735.212 1311.44,735.212 1314.89,735.212 1318.34,735.212 \n",
       "  1321.78,735.212 1325.23,735.212 1328.68,735.212 1332.13,735.212 1335.58,735.212 1339.03,735.212 1342.47,735.212 1345.92,735.212 1349.37,735.212 1352.82,735.212 \n",
       "  1356.27,735.212 1359.71,735.212 1363.16,735.212 1366.61,735.212 1370.06,735.212 1373.51,735.212 1376.95,735.212 1380.4,735.212 1383.85,735.212 1387.3,735.212 \n",
       "  1390.75,735.212 1394.19,735.212 1397.64,735.212 1401.09,735.212 1404.54,735.212 1407.99,735.212 1411.43,735.212 1414.88,735.212 1418.33,735.212 1421.78,735.212 \n",
       "  1425.23,735.212 1428.67,735.212 1432.12,735.212 1435.57,735.212 1439.02,735.212 1442.47,735.212 1445.92,735.212 1449.36,735.212 1452.81,735.212 1456.26,735.212 \n",
       "  1459.71,735.212 1463.16,735.212 1466.6,735.212 1470.05,735.212 1473.5,735.212 1476.95,735.212 1480.4,735.212 1483.84,735.212 1487.29,735.212 1490.74,735.212 \n",
       "  1494.19,735.212 1497.64,735.212 1501.08,735.212 1504.53,735.212 1507.98,735.212 1511.43,735.212 1514.88,735.212 1518.32,735.212 1521.77,735.212 1525.22,735.212 \n",
       "  1528.67,735.212 1532.12,735.212 1535.56,735.212 1539.01,735.212 1542.46,735.212 1545.91,735.212 1549.36,735.212 1552.81,735.212 1556.25,735.212 1559.7,735.212 \n",
       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
       "  1597.63,735.212 1601.08,735.212 1604.53,735.212 1607.97,735.212 1611.42,735.212 1614.87,735.212 1618.32,735.212 1621.77,735.212 1625.21,735.212 1628.66,735.212 \n",
       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
       "  1666.59,735.212 1670.04,735.212 1673.49,735.212 1676.94,735.212 1680.38,735.212 1683.83,735.212 1687.28,735.212 1690.73,735.212 1694.18,735.212 1697.62,735.212 \n",
       "  1701.07,735.212 1704.52,735.212 1707.97,735.212 1711.42,735.212 1714.86,735.212 1718.31,735.212 1721.76,735.212 1725.21,735.212 1728.66,735.212 1732.1,735.212 \n",
       "  1735.55,735.212 1739,735.212 1742.45,735.212 1745.9,735.212 1749.34,735.212 1752.79,735.212 1756.24,735.212 1759.69,735.212 1763.14,735.212 1766.59,735.212 \n",
       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
       "  1838.99,735.212 1842.44,735.212 1845.89,735.212 1849.34,735.212 1852.79,735.212 1856.23,735.212 1859.68,735.212 1863.13,735.212 1866.58,735.212 1870.03,735.212 \n",
       "  1873.48,735.212 1876.92,735.212 1880.37,735.212 1883.82,735.212 1887.27,735.212 1890.72,735.212 1894.16,735.212 1897.61,735.212 1901.06,735.212 1904.51,735.212 \n",
       "  1907.96,735.212 1911.4,735.212 1914.85,735.212 1918.3,735.212 1921.75,735.212 1925.2,735.212 1928.64,735.212 1932.09,735.212 1935.54,735.212 1938.99,735.212 \n",
       "  1942.44,735.212 1945.88,735.212 1949.33,735.212 1952.78,735.212 1956.23,735.212 1959.68,735.212 1963.12,735.212 1966.57,735.212 1970.02,735.212 1973.47,735.212 \n",
       "  1976.92,735.212 1980.37,735.212 1983.81,735.212 1987.26,735.212 1990.71,735.212 1994.16,735.212 1997.61,735.212 2001.05,735.212 2004.5,735.212 2007.95,735.212 \n",
       "  2011.4,735.212 2014.85,735.212 2018.29,735.212 2021.74,735.212 2025.19,735.212 2028.64,735.212 2032.09,735.212 2035.53,735.212 2038.98,735.212 2042.43,735.212 \n",
       "  2045.88,735.212 2049.33,735.212 2052.77,735.212 2056.22,735.212 2059.67,735.212 2063.12,735.212 2066.57,735.212 2070.01,735.212 2073.46,735.212 2076.91,735.212 \n",
       "  2080.36,735.212 2083.81,735.212 2087.26,735.212 2090.7,735.212 2094.15,735.212 2097.6,735.211 2101.05,735.211 2104.5,735.209 2107.94,735.205 2111.39,735.198 \n",
       "  2114.84,735.183 2118.29,735.156 2121.74,735.107 2125.18,735.022 2128.63,734.879 2132.08,734.649 2135.53,734.292 2138.98,733.757 2142.42,732.984 2145.87,731.904 \n",
       "  2149.32,730.443 2152.77,728.526 2156.22,726.084 2159.66,723.054 2163.11,719.389 2166.56,715.059 2170.01,710.048 2173.46,704.361 2176.9,698.016 2180.35,691.044 \n",
       "  2183.8,683.488 2187.25,675.394 2190.7,666.814 2194.14,657.803 2197.59,648.413 2201.04,638.696 2204.49,628.7 2207.94,618.47 2211.39,608.05 2214.83,597.478 \n",
       "  2218.28,586.79 2221.73,576.018 2225.18,565.193 2228.63,554.342 2232.07,543.492 2235.52,532.668 2238.97,521.894 2242.42,511.195 2245.87,500.595 2249.31,490.122 \n",
       "  2252.76,479.807 2256.21,469.69 2259.66,459.818 2263.11,450.262 2266.55,441.123 2270,432.561 2273.45,424.841 2276.9,418.419 2280.35,414.108 2283.79,413.35 \n",
       "  2287.24,418.573 2290.69,433.304 2294.14,461.27 2297.59,503.775 2301.03,556.79 2304.48,611.463 2307.93,658.715 2311.38,693.568 2314.83,715.963 2318.28,728.813 \n",
       "  2321.72,735.56 2325.17,738.807 2328.62,740.131 2332.07,740.407 2335.52,740.115 2338.96,739.536 2342.41,738.842 2345.86,738.14 2349.31,737.493 2352.76,736.934 \n",
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       "  942.498,735.212 945.946,735.212 949.394,735.212 952.842,735.212 956.29,735.212 959.738,735.212 963.186,735.212 966.634,735.212 970.082,735.212 973.531,735.212 \n",
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       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
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       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
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       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
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       "  942.498,735.212 945.946,735.212 949.394,735.212 952.842,735.212 956.29,735.212 959.738,735.212 963.186,735.212 966.634,735.212 970.082,735.212 973.531,735.212 \n",
       "  976.979,735.212 980.427,735.212 983.875,735.212 987.323,735.212 990.771,735.212 994.219,735.212 997.667,735.212 1001.12,735.212 1004.56,735.212 1008.01,735.212 \n",
       "  1011.46,735.212 1014.91,735.212 1018.36,735.212 1021.8,735.212 1025.25,735.212 1028.7,735.212 1032.15,735.212 1035.6,735.212 1039.04,735.212 1042.49,735.212 \n",
       "  1045.94,735.212 1049.39,735.212 1052.84,735.212 1056.28,735.212 1059.73,735.212 1063.18,735.212 1066.63,735.212 1070.08,735.212 1073.52,735.212 1076.97,735.212 \n",
       "  1080.42,735.212 1083.87,735.212 1087.32,735.212 1090.76,735.212 1094.21,735.212 1097.66,735.212 1101.11,735.212 1104.56,735.212 1108.01,735.212 1111.45,735.212 \n",
       "  1114.9,735.212 1118.35,735.212 1121.8,735.212 1125.25,735.212 1128.69,735.212 1132.14,735.212 1135.59,735.212 1139.04,735.212 1142.49,735.212 1145.93,735.212 \n",
       "  1149.38,735.212 1152.83,735.212 1156.28,735.212 1159.73,735.212 1163.17,735.212 1166.62,735.212 1170.07,735.212 1173.52,735.212 1176.97,735.212 1180.41,735.212 \n",
       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
       "  1252.82,735.212 1256.27,735.212 1259.72,735.212 1263.17,735.212 1266.62,735.212 1270.06,735.212 1273.51,735.212 1276.96,735.212 1280.41,735.212 1283.86,735.212 \n",
       "  1287.3,735.212 1290.75,735.212 1294.2,735.212 1297.65,735.212 1301.1,735.212 1304.54,735.212 1307.99,735.212 1311.44,735.212 1314.89,735.212 1318.34,735.212 \n",
       "  1321.78,735.212 1325.23,735.212 1328.68,735.212 1332.13,735.212 1335.58,735.212 1339.03,735.212 1342.47,735.212 1345.92,735.212 1349.37,735.212 1352.82,735.212 \n",
       "  1356.27,735.212 1359.71,735.212 1363.16,735.212 1366.61,735.212 1370.06,735.212 1373.51,735.212 1376.95,735.212 1380.4,735.212 1383.85,735.212 1387.3,735.212 \n",
       "  1390.75,735.212 1394.19,735.212 1397.64,735.212 1401.09,735.212 1404.54,735.212 1407.99,735.212 1411.43,735.212 1414.88,735.212 1418.33,735.212 1421.78,735.212 \n",
       "  1425.23,735.212 1428.67,735.212 1432.12,735.212 1435.57,735.212 1439.02,735.212 1442.47,735.212 1445.92,735.212 1449.36,735.212 1452.81,735.212 1456.26,735.212 \n",
       "  1459.71,735.212 1463.16,735.212 1466.6,735.212 1470.05,735.212 1473.5,735.212 1476.95,735.212 1480.4,735.212 1483.84,735.212 1487.29,735.212 1490.74,735.212 \n",
       "  1494.19,735.212 1497.64,735.212 1501.08,735.212 1504.53,735.212 1507.98,735.212 1511.43,735.212 1514.88,735.212 1518.32,735.212 1521.77,735.212 1525.22,735.212 \n",
       "  1528.67,735.212 1532.12,735.212 1535.56,735.212 1539.01,735.212 1542.46,735.212 1545.91,735.212 1549.36,735.212 1552.81,735.212 1556.25,735.212 1559.7,735.212 \n",
       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
       "  1597.63,735.212 1601.08,735.212 1604.53,735.212 1607.97,735.212 1611.42,735.212 1614.87,735.212 1618.32,735.212 1621.77,735.212 1625.21,735.212 1628.66,735.212 \n",
       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
       "  1666.59,735.212 1670.04,735.212 1673.49,735.212 1676.94,735.212 1680.38,735.212 1683.83,735.212 1687.28,735.212 1690.73,735.212 1694.18,735.212 1697.62,735.212 \n",
       "  1701.07,735.212 1704.52,735.212 1707.97,735.212 1711.42,735.212 1714.86,735.212 1718.31,735.212 1721.76,735.212 1725.21,735.212 1728.66,735.212 1732.1,735.212 \n",
       "  1735.55,735.212 1739,735.212 1742.45,735.212 1745.9,735.212 1749.34,735.212 1752.79,735.212 1756.24,735.212 1759.69,735.212 1763.14,735.212 1766.59,735.212 \n",
       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
       "  1838.99,735.212 1842.44,735.212 1845.89,735.212 1849.34,735.212 1852.79,735.212 1856.23,735.212 1859.68,735.212 1863.13,735.212 1866.58,735.212 1870.03,735.212 \n",
       "  1873.48,735.212 1876.92,735.212 1880.37,735.212 1883.82,735.212 1887.27,735.212 1890.72,735.212 1894.16,735.212 1897.61,735.212 1901.06,735.212 1904.51,735.212 \n",
       "  1907.96,735.212 1911.4,735.212 1914.85,735.212 1918.3,735.212 1921.75,735.212 1925.2,735.212 1928.64,735.212 1932.09,735.212 1935.54,735.212 1938.99,735.212 \n",
       "  1942.44,735.212 1945.88,735.212 1949.33,735.212 1952.78,735.212 1956.23,735.212 1959.68,735.212 1963.12,735.212 1966.57,735.212 1970.02,735.212 1973.47,735.212 \n",
       "  1976.92,735.212 1980.37,735.211 1983.81,735.211 1987.26,735.21 1990.71,735.208 1994.16,735.205 1997.61,735.199 2001.05,735.189 2004.5,735.171 2007.95,735.142 \n",
       "  2011.4,735.096 2014.85,735.023 2018.29,734.913 2021.74,734.748 2025.19,734.509 2028.64,734.172 2032.09,733.705 2035.53,733.077 2038.98,732.249 2042.43,731.181 \n",
       "  2045.88,729.835 2049.33,728.173 2052.77,726.159 2056.22,723.764 2059.67,720.965 2063.12,717.748 2066.57,714.104 2070.01,710.033 2073.46,705.545 2076.91,700.65 \n",
       "  2080.36,695.37 2083.81,689.725 2087.26,683.742 2090.7,677.448 2094.15,670.869 2097.6,664.034 2101.05,656.97 2104.5,649.704 2107.94,642.259 2111.39,634.659 \n",
       "  2114.84,626.926 2118.29,619.081 2121.74,611.141 2125.18,603.123 2128.63,595.045 2132.08,586.919 2135.53,578.76 2138.98,570.58 2142.42,562.391 2145.87,554.203 \n",
       "  2149.32,546.028 2152.77,537.876 2156.22,529.759 2159.66,521.688 2163.11,513.678 2166.56,505.746 2170.01,497.917 2173.46,490.225 2176.9,482.725 2180.35,475.506 \n",
       "  2183.8,468.717 2187.25,462.617 2190.7,457.661 2194.14,454.64 2197.59,454.903 2201.04,460.562 2204.49,474.438 2207.94,499.205 2211.39,535.465 2214.83,579.873 \n",
       "  2218.28,625.622 2221.73,665.632 2225.18,695.723 2228.63,715.467 2232.07,726.961 2235.52,732.994 2238.97,735.855 2242.42,737.029 2245.87,737.35 2249.31,737.262 \n",
       "  2252.76,736.991 2256.21,736.657 2259.66,736.323 2263.11,736.02 2266.55,735.762 2270,735.552 2273.45,735.387 2276.9,735.262 2280.35,735.171 2283.79,735.106 \n",
       "  2287.24,735.061 2290.69,735.032 2294.14,735.014 2297.59,735.003 2301.03,734.998 2304.48,734.997 2307.93,734.998 2311.38,735.001 2314.83,735.004 2318.28,735.009 \n",
       "  2321.72,735.013 2325.17,735.019 2328.62,735.024 2332.07,735.029 2335.52,735.035 2338.96,735.04 2342.41,735.046 2345.86,735.051 2349.31,735.057 2352.76,735.062 \n",
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       "  908.017,735.212 911.465,735.212 914.913,735.212 918.362,735.212 921.81,735.212 925.258,735.212 928.706,735.212 932.154,735.212 935.602,735.212 939.05,735.212 \n",
       "  942.498,735.212 945.946,735.212 949.394,735.212 952.842,735.212 956.29,735.212 959.738,735.212 963.186,735.212 966.634,735.212 970.082,735.212 973.531,735.212 \n",
       "  976.979,735.212 980.427,735.212 983.875,735.212 987.323,735.212 990.771,735.212 994.219,735.212 997.667,735.212 1001.12,735.212 1004.56,735.212 1008.01,735.212 \n",
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       "  1080.42,735.212 1083.87,735.212 1087.32,735.212 1090.76,735.212 1094.21,735.212 1097.66,735.212 1101.11,735.212 1104.56,735.212 1108.01,735.212 1111.45,735.212 \n",
       "  1114.9,735.212 1118.35,735.212 1121.8,735.212 1125.25,735.212 1128.69,735.212 1132.14,735.212 1135.59,735.212 1139.04,735.212 1142.49,735.212 1145.93,735.212 \n",
       "  1149.38,735.212 1152.83,735.212 1156.28,735.212 1159.73,735.212 1163.17,735.212 1166.62,735.212 1170.07,735.212 1173.52,735.212 1176.97,735.212 1180.41,735.212 \n",
       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
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       "  1356.27,735.212 1359.71,735.212 1363.16,735.212 1366.61,735.212 1370.06,735.212 1373.51,735.212 1376.95,735.212 1380.4,735.212 1383.85,735.212 1387.3,735.212 \n",
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       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
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       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
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       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
       "  1838.99,735.212 1842.44,735.212 1845.89,735.212 1849.34,735.212 1852.79,735.212 1856.23,735.212 1859.68,735.212 1863.13,735.212 1866.58,735.212 1870.03,735.212 \n",
       "  1873.48,735.212 1876.92,735.212 1880.37,735.212 1883.82,735.212 1887.27,735.212 1890.72,735.212 1894.16,735.212 1897.61,735.212 1901.06,735.212 1904.51,735.212 \n",
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       "  873.537,456.197 876.985,488.721 880.433,535.34 883.881,589.646 887.329,641.069 890.777,680.684 894.225,706.109 897.673,720.356 901.121,727.716 904.569,731.399 \n",
       "  908.017,733.247 911.465,734.19 914.913,734.678 918.362,734.932 921.81,735.065 925.258,735.135 928.706,735.171 932.154,735.19 935.602,735.201 939.05,735.206 \n",
       "  942.498,735.209 945.946,735.21 949.394,735.211 952.842,735.212 956.29,735.212 959.738,735.212 963.186,735.212 966.634,735.212 970.082,735.212 973.531,735.212 \n",
       "  976.979,735.212 980.427,735.212 983.875,735.212 987.323,735.212 990.771,735.212 994.219,735.212 997.667,735.212 1001.12,735.212 1004.56,735.212 1008.01,735.212 \n",
       "  1011.46,735.212 1014.91,735.212 1018.36,735.212 1021.8,735.212 1025.25,735.212 1028.7,735.212 1032.15,735.212 1035.6,735.212 1039.04,735.212 1042.49,735.212 \n",
       "  1045.94,735.212 1049.39,735.212 1052.84,735.212 1056.28,735.212 1059.73,735.212 1063.18,735.212 1066.63,735.212 1070.08,735.212 1073.52,735.212 1076.97,735.212 \n",
       "  1080.42,735.212 1083.87,735.212 1087.32,735.212 1090.76,735.212 1094.21,735.212 1097.66,735.212 1101.11,735.212 1104.56,735.212 1108.01,735.212 1111.45,735.212 \n",
       "  1114.9,735.212 1118.35,735.212 1121.8,735.212 1125.25,735.212 1128.69,735.212 1132.14,735.212 1135.59,735.212 1139.04,735.212 1142.49,735.212 1145.93,735.212 \n",
       "  1149.38,735.212 1152.83,735.212 1156.28,735.212 1159.73,735.212 1163.17,735.212 1166.62,735.212 1170.07,735.212 1173.52,735.212 1176.97,735.212 1180.41,735.212 \n",
       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
       "  1252.82,735.212 1256.27,735.212 1259.72,735.212 1263.17,735.212 1266.62,735.212 1270.06,735.212 1273.51,735.212 1276.96,735.212 1280.41,735.212 1283.86,735.212 \n",
       "  1287.3,735.212 1290.75,735.212 1294.2,735.212 1297.65,735.212 1301.1,735.212 1304.54,735.212 1307.99,735.212 1311.44,735.212 1314.89,735.212 1318.34,735.212 \n",
       "  1321.78,735.212 1325.23,735.212 1328.68,735.212 1332.13,735.212 1335.58,735.212 1339.03,735.212 1342.47,735.212 1345.92,735.212 1349.37,735.212 1352.82,735.212 \n",
       "  1356.27,735.212 1359.71,735.212 1363.16,735.212 1366.61,735.212 1370.06,735.212 1373.51,735.212 1376.95,735.212 1380.4,735.212 1383.85,735.212 1387.3,735.212 \n",
       "  1390.75,735.212 1394.19,735.212 1397.64,735.212 1401.09,735.212 1404.54,735.212 1407.99,735.212 1411.43,735.212 1414.88,735.212 1418.33,735.212 1421.78,735.212 \n",
       "  1425.23,735.212 1428.67,735.212 1432.12,735.212 1435.57,735.212 1439.02,735.212 1442.47,735.212 1445.92,735.212 1449.36,735.212 1452.81,735.212 1456.26,735.212 \n",
       "  1459.71,735.212 1463.16,735.212 1466.6,735.212 1470.05,735.212 1473.5,735.212 1476.95,735.212 1480.4,735.212 1483.84,735.212 1487.29,735.212 1490.74,735.212 \n",
       "  1494.19,735.212 1497.64,735.212 1501.08,735.212 1504.53,735.212 1507.98,735.212 1511.43,735.212 1514.88,735.212 1518.32,735.212 1521.77,735.212 1525.22,735.212 \n",
       "  1528.67,735.212 1532.12,735.212 1535.56,735.212 1539.01,735.212 1542.46,735.212 1545.91,735.212 1549.36,735.212 1552.81,735.212 1556.25,735.212 1559.7,735.212 \n",
       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
       "  1597.63,735.212 1601.08,735.212 1604.53,735.212 1607.97,735.212 1611.42,735.212 1614.87,735.212 1618.32,735.212 1621.77,735.212 1625.21,735.212 1628.66,735.212 \n",
       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
       "  1666.59,735.212 1670.04,735.212 1673.49,735.212 1676.94,735.212 1680.38,735.212 1683.83,735.212 1687.28,735.212 1690.73,735.212 1694.18,735.212 1697.62,735.212 \n",
       "  1701.07,735.212 1704.52,735.212 1707.97,735.212 1711.42,735.212 1714.86,735.212 1718.31,735.212 1721.76,735.212 1725.21,735.212 1728.66,735.212 1732.1,735.212 \n",
       "  1735.55,735.212 1739,735.212 1742.45,735.212 1745.9,735.212 1749.34,735.212 1752.79,735.212 1756.24,735.212 1759.69,735.212 1763.14,735.212 1766.59,735.212 \n",
       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
       "  1838.99,735.212 1842.44,735.212 1845.89,735.212 1849.34,735.212 1852.79,735.212 1856.23,735.212 1859.68,735.212 1863.13,735.212 1866.58,735.211 1870.03,735.211 \n",
       "  1873.48,735.21 1876.92,735.209 1880.37,735.207 1883.82,735.203 1887.27,735.197 1890.72,735.187 1894.16,735.172 1897.61,735.149 1901.06,735.113 1904.51,735.06 \n",
       "  1907.96,734.983 1911.4,734.874 1914.85,734.72 1918.3,734.509 1921.75,734.224 1925.2,733.847 1928.64,733.357 1932.09,732.73 1935.54,731.942 1938.99,730.97 \n",
       "  1942.44,729.788 1945.88,728.374 1949.33,726.707 1952.78,724.77 1956.23,722.549 1959.68,720.034 1963.12,717.22 1966.57,714.106 1970.02,710.694 1973.47,706.992 \n",
       "  1976.92,703.009 1980.37,698.756 1983.81,694.249 1987.26,689.503 1990.71,684.533 1994.16,679.358 1997.61,673.994 2001.05,668.458 2004.5,662.766 2007.95,656.933 \n",
       "  2011.4,650.976 2014.85,644.907 2018.29,638.74 2021.74,632.487 2025.19,626.16 2028.64,619.768 2032.09,613.323 2035.53,606.833 2038.98,600.306 2042.43,593.751 \n",
       "  2045.88,587.174 2049.33,580.582 2052.77,573.982 2056.22,567.38 2059.67,560.782 2063.12,554.195 2066.57,547.625 2070.01,541.081 2073.46,534.574 2076.91,528.116 \n",
       "  2080.36,521.727 2083.81,515.439 2087.26,509.297 2090.7,503.38 2094.15,497.814 2097.6,492.81 2101.05,488.718 2104.5,486.119 2107.94,485.939 2111.39,489.571 \n",
       "  2114.84,498.87 2118.29,515.784 2121.74,541.401 2125.18,574.697 2128.63,612.021 2132.08,648.226 2135.53,678.851 2138.98,701.687 2142.42,716.903 2145.87,726.102 \n",
       "  2149.32,731.222 2152.77,733.862 2156.22,735.107 2159.66,735.61 2163.11,735.737 2166.56,735.685 2170.01,735.56 2173.46,735.415 2176.9,735.276 2180.35,735.155 \n",
       "  2183.8,735.055 2187.25,734.976 2190.7,734.915 2194.14,734.871 2197.59,734.839 2201.04,734.817 2204.49,734.802 2207.94,734.793 2211.39,734.788 2214.83,734.786 \n",
       "  2218.28,734.786 2221.73,734.787 2225.18,734.789 2228.63,734.791 2232.07,734.795 2235.52,734.798 2238.97,734.801 2242.42,734.805 2245.87,734.809 2249.31,734.813 \n",
       "  2252.76,734.816 2256.21,734.82 2259.66,734.824 2263.11,734.828 2266.55,734.832 2270,734.836 2273.45,734.839 2276.9,734.843 2280.35,734.847 2283.79,734.851 \n",
       "  2287.24,734.855 2290.69,734.859 2294.14,734.863 2297.59,734.867 2301.03,734.87 2304.48,734.874 2307.93,734.878 2311.38,734.882 2314.83,734.886 2318.28,734.89 \n",
       "  2321.72,734.894 2325.17,734.898 2328.62,734.902 2332.07,734.906 2335.52,734.91 2338.96,734.915 2342.41,734.919 2345.86,734.923 2349.31,734.927 2352.76,734.931 \n",
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       "  287.366,735.023 290.814,735.025 294.262,735.028 297.71,735.03 301.158,735.032 304.606,735.034 308.054,735.037 311.502,735.039 314.95,735.041 318.398,735.044 \n",
       "  321.847,735.046 325.295,735.049 328.743,735.051 332.191,735.053 335.639,735.056 339.087,735.058 342.535,735.061 345.983,735.063 349.431,735.066 352.879,735.069 \n",
       "  356.327,735.071 359.775,735.074 363.223,735.076 366.671,735.079 370.119,735.082 373.567,735.085 377.016,735.087 380.464,735.09 383.912,735.093 387.36,735.096 \n",
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       "  425.288,735.127 428.737,735.13 432.185,735.133 435.633,735.136 439.081,735.139 442.529,735.142 445.977,735.145 449.425,735.148 452.873,735.151 456.321,735.154 \n",
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       "  494.25,735.189 497.698,735.192 501.146,735.195 504.594,735.198 508.042,735.201 511.49,735.204 514.938,735.207 518.386,735.211 521.834,735.214 525.282,735.217 \n",
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       "  908.017,734.954 911.465,735.065 914.913,735.129 918.362,735.165 921.81,735.185 925.258,735.197 928.706,735.204 932.154,735.207 935.602,735.209 939.05,735.211 \n",
       "  942.498,735.211 945.946,735.212 949.394,735.212 952.842,735.212 956.29,735.212 959.738,735.212 963.186,735.212 966.634,735.212 970.082,735.212 973.531,735.212 \n",
       "  976.979,735.212 980.427,735.212 983.875,735.212 987.323,735.212 990.771,735.212 994.219,735.212 997.667,735.212 1001.12,735.212 1004.56,735.212 1008.01,735.212 \n",
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       "  1080.42,735.212 1083.87,735.212 1087.32,735.212 1090.76,735.212 1094.21,735.212 1097.66,735.212 1101.11,735.212 1104.56,735.212 1108.01,735.212 1111.45,735.212 \n",
       "  1114.9,735.212 1118.35,735.212 1121.8,735.212 1125.25,735.212 1128.69,735.212 1132.14,735.212 1135.59,735.212 1139.04,735.212 1142.49,735.212 1145.93,735.212 \n",
       "  1149.38,735.212 1152.83,735.212 1156.28,735.212 1159.73,735.212 1163.17,735.212 1166.62,735.212 1170.07,735.212 1173.52,735.212 1176.97,735.212 1180.41,735.212 \n",
       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
       "  1252.82,735.212 1256.27,735.212 1259.72,735.212 1263.17,735.212 1266.62,735.212 1270.06,735.212 1273.51,735.212 1276.96,735.212 1280.41,735.212 1283.86,735.212 \n",
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       "  1356.27,735.212 1359.71,735.212 1363.16,735.212 1366.61,735.212 1370.06,735.212 1373.51,735.212 1376.95,735.212 1380.4,735.212 1383.85,735.212 1387.3,735.212 \n",
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       "  1528.67,735.212 1532.12,735.212 1535.56,735.212 1539.01,735.212 1542.46,735.212 1545.91,735.212 1549.36,735.212 1552.81,735.212 1556.25,735.212 1559.7,735.212 \n",
       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
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       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
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       "  1770.03,735.212 1773.48,735.212 1776.93,735.212 1780.38,735.212 1783.83,735.212 1787.27,735.212 1790.72,735.212 1794.17,735.212 1797.62,735.212 1801.07,735.212 \n",
       "  1804.51,735.212 1807.96,735.212 1811.41,735.212 1814.86,735.212 1818.31,735.212 1821.75,735.212 1825.2,735.212 1828.65,735.212 1832.1,735.212 1835.55,735.212 \n",
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       "  873.537,664.933 876.985,658.526 880.433,651.984 883.881,645.319 887.329,638.54 890.777,631.656 894.225,624.674 897.673,617.601 901.121,610.445 904.569,603.211 \n",
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       "  976.979,452.515 980.427,452.709 983.875,459.229 987.323,475.513 990.771,504.188 994.219,544.849 997.667,592.572 1001.12,639.02 1004.56,676.567 1008.01,702.236 \n",
       "  1011.46,717.626 1014.91,726.081 1018.36,730.512 1021.8,732.792 1025.25,733.964 1028.7,734.569 1032.15,734.88 1035.6,735.041 1039.04,735.124 1042.49,735.166 \n",
       "  1045.94,735.188 1049.39,735.2 1052.84,735.206 1056.28,735.209 1059.73,735.21 1063.18,735.211 1066.63,735.211 1070.08,735.212 1073.52,735.212 1076.97,735.212 \n",
       "  1080.42,735.212 1083.87,735.212 1087.32,735.212 1090.76,735.212 1094.21,735.212 1097.66,735.212 1101.11,735.212 1104.56,735.212 1108.01,735.212 1111.45,735.212 \n",
       "  1114.9,735.212 1118.35,735.212 1121.8,735.212 1125.25,735.212 1128.69,735.212 1132.14,735.212 1135.59,735.212 1139.04,735.212 1142.49,735.212 1145.93,735.212 \n",
       "  1149.38,735.212 1152.83,735.212 1156.28,735.212 1159.73,735.212 1163.17,735.212 1166.62,735.212 1170.07,735.212 1173.52,735.212 1176.97,735.212 1180.41,735.212 \n",
       "  1183.86,735.212 1187.31,735.212 1190.76,735.212 1194.21,735.212 1197.65,735.212 1201.1,735.212 1204.55,735.212 1208,735.212 1211.45,735.212 1214.89,735.212 \n",
       "  1218.34,735.212 1221.79,735.212 1225.24,735.212 1228.69,735.212 1232.14,735.212 1235.58,735.212 1239.03,735.212 1242.48,735.212 1245.93,735.212 1249.38,735.212 \n",
       "  1252.82,735.212 1256.27,735.212 1259.72,735.212 1263.17,735.212 1266.62,735.212 1270.06,735.212 1273.51,735.212 1276.96,735.212 1280.41,735.212 1283.86,735.212 \n",
       "  1287.3,735.212 1290.75,735.212 1294.2,735.212 1297.65,735.212 1301.1,735.212 1304.54,735.212 1307.99,735.212 1311.44,735.212 1314.89,735.212 1318.34,735.212 \n",
       "  1321.78,735.212 1325.23,735.212 1328.68,735.212 1332.13,735.212 1335.58,735.212 1339.03,735.212 1342.47,735.212 1345.92,735.212 1349.37,735.212 1352.82,735.212 \n",
       "  1356.27,735.212 1359.71,735.212 1363.16,735.212 1366.61,735.212 1370.06,735.212 1373.51,735.212 1376.95,735.212 1380.4,735.212 1383.85,735.212 1387.3,735.212 \n",
       "  1390.75,735.212 1394.19,735.212 1397.64,735.212 1401.09,735.212 1404.54,735.212 1407.99,735.212 1411.43,735.212 1414.88,735.212 1418.33,735.212 1421.78,735.212 \n",
       "  1425.23,735.212 1428.67,735.212 1432.12,735.212 1435.57,735.212 1439.02,735.212 1442.47,735.212 1445.92,735.212 1449.36,735.212 1452.81,735.212 1456.26,735.212 \n",
       "  1459.71,735.212 1463.16,735.212 1466.6,735.212 1470.05,735.212 1473.5,735.212 1476.95,735.212 1480.4,735.212 1483.84,735.212 1487.29,735.212 1490.74,735.212 \n",
       "  1494.19,735.212 1497.64,735.212 1501.08,735.212 1504.53,735.212 1507.98,735.212 1511.43,735.212 1514.88,735.212 1518.32,735.212 1521.77,735.212 1525.22,735.212 \n",
       "  1528.67,735.212 1532.12,735.212 1535.56,735.212 1539.01,735.212 1542.46,735.212 1545.91,735.212 1549.36,735.212 1552.81,735.212 1556.25,735.212 1559.7,735.212 \n",
       "  1563.15,735.212 1566.6,735.212 1570.05,735.212 1573.49,735.212 1576.94,735.212 1580.39,735.212 1583.84,735.212 1587.29,735.212 1590.73,735.212 1594.18,735.212 \n",
       "  1597.63,735.212 1601.08,735.212 1604.53,735.212 1607.97,735.212 1611.42,735.212 1614.87,735.212 1618.32,735.212 1621.77,735.212 1625.21,735.212 1628.66,735.212 \n",
       "  1632.11,735.212 1635.56,735.212 1639.01,735.212 1642.45,735.212 1645.9,735.212 1649.35,735.212 1652.8,735.212 1656.25,735.212 1659.7,735.212 1663.14,735.212 \n",
       "  1666.59,735.212 1670.04,735.212 1673.49,735.212 1676.94,735.212 1680.38,735.212 1683.83,735.212 1687.28,735.212 1690.73,735.212 1694.18,735.212 1697.62,735.212 \n",
       "  1701.07,735.212 1704.52,735.212 1707.97,735.212 1711.42,735.212 1714.86,735.212 1718.31,735.212 1721.76,735.212 1725.21,735.212 1728.66,735.212 1732.1,735.212 \n",
       "  1735.55,735.212 1739,735.212 1742.45,735.212 1745.9,735.212 1749.34,735.212 1752.79,735.212 1756.24,735.211 1759.69,735.211 1763.14,735.21 1766.59,735.209 \n",
       "  1770.03,735.207 1773.48,735.203 1776.93,735.198 1780.38,735.19 1783.83,735.179 1787.27,735.161 1790.72,735.136 1794.17,735.099 1797.62,735.047 1801.07,734.975 \n",
       "  1804.51,734.876 1807.96,734.743 1811.41,734.565 1814.86,734.332 1818.31,734.031 1821.75,733.649 1825.2,733.17 1828.65,732.577 1832.1,731.854 1835.55,730.985 \n",
       "  1838.99,729.953 1842.44,728.742 1845.89,727.34 1849.34,725.734 1852.79,723.915 1856.23,721.876 1859.68,719.613 1863.13,717.123 1866.58,714.409 1870.03,711.472 \n",
       "  1873.48,708.319 1876.92,704.957 1880.37,701.393 1883.82,697.638 1887.27,693.702 1890.72,689.596 1894.16,685.332 1897.61,680.921 1901.06,676.375 1904.51,671.704 \n",
       "  1907.96,666.919 1911.4,662.032 1914.85,657.05 1918.3,651.984 1921.75,646.843 1925.2,641.635 1928.64,636.368 1932.09,631.048 1935.54,625.682 1938.99,620.277 \n",
       "  1942.44,614.838 1945.88,609.371 1949.33,603.881 1952.78,598.372 1956.23,592.849 1959.68,587.316 1963.12,581.778 1966.57,576.238 1970.02,570.702 1973.47,565.174 \n",
       "  1976.92,559.659 1980.37,554.166 1983.81,548.705 1987.26,543.29 1990.71,537.941 1994.16,532.693 1997.61,527.594 2001.05,522.726 2004.5,518.213 2007.95,514.259 \n",
       "  2011.4,511.18 2014.85,509.472 2018.29,509.877 2021.74,513.447 2025.19,521.508 2028.64,535.405 2032.09,555.934 2035.53,582.573 2038.98,613.065 2042.43,643.893 \n",
       "  2045.88,671.542 2049.33,693.719 2052.77,709.806 2056.22,720.504 2059.67,727.118 2063.12,730.966 2066.57,733.088 2070.01,734.193 2073.46,734.724 2076.91,734.945 \n",
       "  2080.36,735.006 2083.81,734.989 2087.26,734.941 2090.7,734.884 2094.15,734.83 2097.6,734.783 2101.05,734.745 2104.5,734.716 2107.94,734.694 2111.39,734.678 \n",
       "  2114.84,734.667 2118.29,734.66 2121.74,734.656 2125.18,734.653 2128.63,734.653 2132.08,734.653 2135.53,734.654 2138.98,734.655 2142.42,734.657 2145.87,734.659 \n",
       "  2149.32,734.661 2152.77,734.664 2156.22,734.666 2159.66,734.668 2163.11,734.671 2166.56,734.673 2170.01,734.676 2173.46,734.678 2176.9,734.681 2180.35,734.683 \n",
       "  2183.8,734.685 2187.25,734.688 2190.7,734.69 2194.14,734.693 2197.59,734.695 2201.04,734.697 2204.49,734.7 2207.94,734.702 2211.39,734.705 2214.83,734.707 \n",
       "  2218.28,734.71 2221.73,734.712 2225.18,734.715 2228.63,734.717 2232.07,734.719 2235.52,734.722 2238.97,734.725 2242.42,734.727 2245.87,734.73 2249.31,734.732 \n",
       "  2252.76,734.735 2256.21,734.738 2259.66,734.74 2263.11,734.743 2266.55,734.746 2270,734.749 2273.45,734.751 2276.9,734.754 2280.35,734.757 2283.79,734.76 \n",
       "  2287.24,734.763 2290.69,734.766 2294.14,734.769 2297.59,734.773 2301.03,734.776 2304.48,734.779 2307.93,734.782 2311.38,734.786 2314.83,734.789 2318.28,734.793 \n",
       "  2321.72,734.796 2325.17,734.8 2328.62,734.803 2332.07,734.807 2335.52,734.811 2338.96,734.815 2342.41,734.818 2345.86,734.822 2349.31,734.826 2352.76,734.83 \n",
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       "  321.847,734.994 325.295,734.996 328.743,734.999 332.191,735.002 335.639,735.004 339.087,735.007 342.535,735.01 345.983,735.012 349.431,735.015 352.879,735.018 \n",
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       "  908.017,565.618 911.465,558.77 914.913,551.891 918.362,544.987 921.81,538.067 925.258,531.143 928.706,524.229 932.154,517.342 935.602,510.508 939.05,503.762 \n",
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       "  1770.03,735.21 1773.48,735.209 1776.93,735.207 1780.38,735.204 1783.83,735.199 1787.27,735.192 1790.72,735.182 1794.17,735.166 1797.62,735.144 1801.07,735.112 \n",
       "  1804.51,735.067 1807.96,735.004 1811.41,734.919 1814.86,734.804 1818.31,734.651 1821.75,734.452 1825.2,734.194 1828.65,733.867 1832.1,733.456 1835.55,732.948 \n",
       "  1838.99,732.328 1842.44,731.581 1845.89,730.691 1849.34,729.645 1852.79,728.43 1856.23,727.033 1859.68,725.446 1863.13,723.66 1866.58,721.67 1870.03,719.473 \n",
       "  1873.48,717.068 1876.92,714.457 1880.37,711.643 1883.82,708.631 1887.27,705.427 1890.72,702.04 1894.16,698.478 1897.61,694.752 1901.06,690.87 1904.51,686.844 \n",
       "  1907.96,682.683 1911.4,678.398 1914.85,673.999 1918.3,669.496 1921.75,664.897 1925.2,660.213 1928.64,655.451 1932.09,650.62 1935.54,645.726 1938.99,640.778 \n",
       "  1942.44,635.782 1945.88,630.744 1949.33,625.67 1952.78,620.566 1956.23,615.436 1959.68,610.285 1963.12,605.119 1966.57,599.94 1970.02,594.754 1973.47,589.565 \n",
       "  1976.92,584.376 1980.37,579.192 1983.81,574.017 1987.26,568.857 1990.71,563.717 1994.16,558.605 1997.61,553.531 2001.05,548.507 2004.5,543.553 2007.95,538.697 \n",
       "  2011.4,533.98 2014.85,529.465 2018.29,525.248 2021.74,521.477 2025.19,518.378 2028.64,516.296 2032.09,515.742 2035.53,517.445 2038.98,522.369 2042.43,531.632 \n",
       "  2045.88,546.224 2049.33,566.519 2052.77,591.726 2056.22,619.715 2059.67,647.529 2063.12,672.372 2066.57,692.482 2070.01,707.405 2073.46,717.704 2076.91,724.417 \n",
       "  2080.36,728.616 2083.81,731.168 2087.26,732.693 2090.7,733.594 2094.15,734.123 2097.6,734.432 2101.05,734.613 2104.5,734.718 2107.94,734.779 2111.39,734.815 \n",
       "  2114.84,734.835 2118.29,734.847 2121.74,734.855 2125.18,734.859 2128.63,734.862 2132.08,734.863 2135.53,734.865 2138.98,734.866 2142.42,734.867 2145.87,734.868 \n",
       "  2149.32,734.869 2152.77,734.87 2156.22,734.872 2159.66,734.873 2163.11,734.874 2166.56,734.875 2170.01,734.876 2173.46,734.878 2176.9,734.879 2180.35,734.88 \n",
       "  2183.8,734.882 2187.25,734.883 2190.7,734.884 2194.14,734.886 2197.59,734.887 2201.04,734.888 2204.49,734.89 2207.94,734.891 2211.39,734.893 2214.83,734.894 \n",
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      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tf = sol_init.t[end]\n",
    "Ti = sol_init.t[1]\n",
    "dt = (Tf - Ti)/(length(sol_init.t)-1)\n",
    "U=10\n",
    "T = length(sol_init.t) # number of temporal steps \n",
    "M=length(sol_init(Ti))÷U\n",
    "L=4\n",
    "dx = L/(M-1)\n",
    "x = 0:dx:L\n",
    "a = 20.0*dt\n",
    "t = [(i-1)*a for i ∈ 1:6]\n",
    "field =7\n",
    "plot(xticks = 0:0.2:10, legend=:bottomright\n",
    "    ,xaxis=(\"x\",(0.0,L))\n",
    "    ,yaxis=(\"field\",(-0.5,0.5))\n",
    "    )\n",
    "for s in t\n",
    "    plot!(x,reshape(sol_init(s),(M,U))[:,field], label=\"in_p$s\")\n",
    "    plot!(x,reshape(sol_init_neg(s),(M,U))[:,field], ls=:dot, label=\"in_n$s\")\n",
    "    plot!(x,reshape(sol(s),(M,U))[:,field], ls=:dash, label=\"ni$s\")\n",
    "end    \n",
    "current()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
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      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(x,reshape(sol_init(t[1]),(M,U))[:,field],xticks = 0:0.2:10, legend=:bottomright\n",
    "    ,xaxis=(\"x\",(0.0,0.4))\n",
    "    )\n",
    "plot!(x,reshape(sol_init(t[2]),(M,U))[:,field])\n",
    "plot!(x,reshape(sol_init(t[3]),(M,U))[:,field])\n",
    "plot!(x,reshape(sol_init(t[4]),(M,U))[:,field])\n",
    "plot!(x,reshape(sol_init(t[5]),(M,U))[:,field])\n",
    "plot!(x,reshape(sol_init_neg(t[1]),(M,U))[:,field],xticks = 0:0.2:10, legend=:bottomright, ls=:dot)\n",
    "plot!(x,reshape(sol_init_neg(t[2]),(M,U))[:,field], ls=:dot)\n",
    "plot!(x,reshape(sol_init_neg(t[3]),(M,U))[:,field], ls=:dot)\n",
    "plot!(x,reshape(sol_init_neg(t[4]),(M,U))[:,field], ls=:dot)\n",
    "plot!(x,reshape(sol_init_neg(t[5]),(M,U))[:,field], ls=:dot)\n",
    "plot!(x,reshape(sol(t[1]),(M,U))[:,field],xticks = 0:0.2:10, legend=:bottomright, ls=:dash)\n",
    "plot!(x,reshape(sol(t[2]),(M,U))[:,field], ls=:dash)\n",
    "plot!(x,reshape(sol(t[3]),(M,U))[:,field], ls=:dash)\n",
    "plot!(x,reshape(sol(t[4]),(M,U))[:,field], ls=:dash)\n",
    "plot!(x,reshape(sol(t[5]),(M,U))[:,field], ls=:dash)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  306.206,1174 326.276,1153.98 346.346,1134.83 366.416,1118.93 386.486,1107.74 406.557,1101.02 426.627,1097.23 446.697,1094.69 466.767,1092.27 486.837,1089.47 \n",
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       "  707.608,1045.38 727.678,1041.37 747.749,1037.38 767.819,1033.4 787.889,1029.45 807.959,1025.5 828.029,1021.58 848.099,1017.67 868.169,1013.77 888.239,1009.9 \n",
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       "  1109.01,968.57 1129.08,964.953 1149.15,961.362 1169.22,957.797 1189.29,954.26 1209.36,950.75 1229.43,947.268 1249.5,943.815 1269.57,940.39 1289.64,936.995 \n",
       "  1309.71,933.628 1329.78,930.291 1349.85,926.984 1369.92,923.706 1389.99,920.458 1410.06,917.241 1430.13,914.053 1450.2,910.895 1470.27,907.767 1490.34,904.669 \n",
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       "  2112.52,822.594 2132.59,820.354 2152.66,818.136 2172.73,815.941 2192.8,813.767 2212.87,811.615 2232.94,809.484 2253.01,807.374 2273.08,805.285 2293.15,803.217 \n",
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       "  1109.01,948.892 1129.08,947.273 1149.15,945.666 1169.22,944.071 1189.29,942.488 1209.36,940.916 1229.43,939.358 1249.5,937.812 1269.57,936.278 1289.64,934.758 \n",
       "  1309.71,933.251 1329.78,931.757 1349.85,930.276 1369.92,928.809 1389.99,927.355 1410.06,925.915 1430.13,924.488 1450.2,923.075 1470.27,921.676 1490.34,920.291 \n",
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       "  1711.11,905.949 1731.18,904.725 1751.25,903.515 1771.32,902.317 1791.39,901.132 1811.46,899.96 1831.53,898.801 1851.61,897.654 1871.68,896.52 1891.75,895.398 \n",
       "  1911.82,894.288 1931.89,893.19 1951.96,892.104 1972.03,891.029 1992.1,889.967 2012.17,888.916 2032.24,887.876 2052.31,886.847 2072.38,885.83 2092.45,884.823 \n",
       "  2112.52,883.828 2132.59,882.843 2152.66,881.869 2172.73,880.905 2192.8,879.951 2212.87,879.008 2232.94,878.075 2253.01,877.151 2273.08,876.238 2293.15,875.334 \n",
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       "  506.907,499.378 526.977,489.437 547.047,482.46 567.118,476.928 587.188,472.015 607.258,467.341 627.328,462.756 647.398,458.212 667.468,453.692 687.538,449.19 \n",
       "  707.608,444.704 727.678,440.234 747.749,435.777 767.819,431.334 787.889,426.904 807.959,422.488 828.029,418.086 848.099,413.698 868.169,409.326 888.239,404.97 \n",
       "  908.31,400.63 928.38,396.309 948.45,392.006 968.52,387.722 988.59,383.46 1008.66,379.218 1028.73,374.999 1048.8,370.804 1068.87,366.632 1088.94,362.486 \n",
       "  1109.01,358.366 1129.08,354.272 1149.15,350.205 1169.22,346.167 1189.29,342.157 1209.36,338.176 1229.43,334.225 1249.5,330.305 1269.57,326.415 1289.64,322.556 \n",
       "  1309.71,318.729 1329.78,314.934 1349.85,311.171 1369.92,307.44 1389.99,303.742 1410.06,300.077 1430.13,296.445 1450.2,292.845 1470.27,289.279 1490.34,285.745 \n",
       "  1510.41,282.245 1530.48,278.778 1550.55,275.344 1570.62,271.943 1590.69,268.575 1610.76,265.239 1630.83,261.936 1650.9,258.666 1670.97,255.428 1691.04,252.222 \n",
       "  1711.11,249.048 1731.18,245.905 1751.25,242.794 1771.32,239.714 1791.39,236.666 1811.46,233.647 1831.53,230.66 1851.61,227.702 1871.68,224.774 1891.75,221.876 \n",
       "  1911.82,219.008 1931.89,216.168 1951.96,213.357 1972.03,210.574 1992.1,207.82 2012.17,205.093 2032.24,202.394 2052.31,199.721 2072.38,197.076 2092.45,194.457 \n",
       "  2112.52,191.865 2132.59,189.298 2152.66,186.757 2172.73,184.242 2192.8,181.751 2212.87,179.285 2232.94,176.843 2253.01,174.425 2273.08,172.032 2293.15,169.661 \n",
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       "  306.206,1174 326.276,1260.87 346.346,1295.41 366.416,1292.36 386.486,1269.36 406.557,1242.72 426.627,1222.34 446.697,1210.37 466.767,1204.6 486.837,1202.12 \n",
       "  506.907,1200.8 526.977,1199.44 547.047,1197.44 567.118,1194.58 587.188,1190.86 607.258,1186.45 627.328,1181.53 647.398,1176.26 667.468,1170.74 687.538,1165.05 \n",
       "  707.608,1159.24 727.678,1153.34 747.749,1147.39 767.819,1141.41 787.889,1135.42 807.959,1129.44 828.029,1123.48 848.099,1117.55 868.169,1111.66 888.239,1105.82 \n",
       "  908.31,1100.03 928.38,1094.31 948.45,1088.64 968.52,1083.03 988.59,1077.49 1008.66,1072.02 1028.73,1066.61 1048.8,1061.28 1068.87,1056.01 1088.94,1050.81 \n",
       "  1109.01,1045.69 1129.08,1040.63 1149.15,1035.64 1169.22,1030.72 1189.29,1025.87 1209.36,1021.09 1229.43,1016.38 1249.5,1011.73 1269.57,1007.16 1289.64,1002.64 \n",
       "  1309.71,998.195 1329.78,993.81 1349.85,989.489 1369.92,985.231 1389.99,981.034 1410.06,976.897 1430.13,972.82 1450.2,968.801 1470.27,964.84 1490.34,960.936 \n",
       "  1510.41,957.087 1530.48,953.293 1550.55,949.552 1570.62,945.864 1590.69,942.228 1610.76,938.642 1630.83,935.107 1650.9,931.62 1670.97,928.181 1691.04,924.789 \n",
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      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a000 = [sum(reshape(sol(dt*i),(M,U))[:,3]) for i in 1:100]/M\n",
    "a001 = [sum(reshape(sol(dt*i),(M,U))[:,4]) for i in 1:100]/M\n",
    "a011 = [sum(reshape(sol(dt*i),(M,U))[:,5]) for i in 1:100]/M\n",
    "a000_pos = [sum(reshape(sol_init(dt*i),(M,U))[:,3]) for i in 1:100]/M\n",
    "a001_pos = [sum(reshape(sol_init(dt*i),(M,U))[:,4]) for i in 1:100]/M\n",
    "a011_pos = [sum(reshape(sol_init(dt*i),(M,U))[:,5]) for i in 1:100]/M\n",
    "a000_neg = [sum(reshape(sol_init_neg(dt*i),(M,U))[:,3]) for i in 1:100]/M\n",
    "a001_neg = [sum(reshape(sol_init_neg(dt*i),(M,U))[:,4]) for i in 1:100]/M\n",
    "a011_neg = [sum(reshape(sol_init_neg(dt*i),(M,U))[:,5]) for i in 1:100]/M\n",
    "\n",
    "\n",
    "plot(a000 .- a000[1], ls=:dash, label=\"<A000>\")\n",
    "plot!(1*(a001.- a001[1]), ls=:dot, lw=1, label=\"<A001>\")\n",
    "plot!(a011.- a011[1], label=\"<A011>\")\n",
    "plot!(a000_pos .- a000_pos[1], ls=:dash, lw=2, label=\"<A000>_pos\")\n",
    "plot!(1*(a001_pos.- a001_pos[1]), ls=:dot, lw=2, label=\"<A001>_pos\")\n",
    "plot!(a011_pos.- a011_pos[1], lw=2, label=\"<A011>_pos\")\n",
    "plot!(a000_neg .- a000_neg[1], ls=:dash, lw=4, label=\"<A000>_neg\")\n",
    "plot!(1*(a001_neg.- a001_neg[1]), ls=:dot, lw=4, label=\"<A001>_neg\")\n",
    "plot!(a011_neg.- a011_neg[1], lw=4, label=\"<A011>_neg\")\n",
    "\n",
    "#savefig(\"Resultados/Movies/flu_$out_name\"*\"A0\")\n",
    "current()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x1 = [sum(abs.(reshape(sol(dt*i),(M,U))[:,8])) for i in 1:100]/M\n",
    "x2 = [sum(abs.(reshape(sol(dt*i),(M,U))[:,9])) for i in 1:100]/M\n",
    "x3 = [sum(abs.(reshape(sol(dt*i),(M,U))[:,10])) for i in 1:100]/M\n",
    "plot(x1*1, ls=:dash, lw=1, label=\"<ν>\")\n",
    "plot!(x2*100, ls=:dot, lw=1, label=\"<r1>\")\n",
    "plot!(x3*10, lw=1, label=\"<τ11>\")\n",
    "x1 = [sum(abs.(reshape(sol_init(dt*i),(M,U))[:,8])) for i in 1:100]/M\n",
    "x2 = [sum(abs.(reshape(sol_init(dt*i),(M,U))[:,9])) for i in 1:100]/M\n",
    "x3 = [sum(abs.(reshape(sol_init(dt*i),(M,U))[:,10])) for i in 1:100]/M\n",
    "plot!(x1*1, ls=:dash, lw=2, label=\"<ν>_pos\")\n",
    "plot!(x2*100, ls=:dot, lw=2, label=\"<r1>_pos\")\n",
    "plot!(x3*10, lw=2, label=\"<τ11>_pos\")\n",
    "x1 = [sum(abs.(reshape(sol_init_neg(dt*i),(M,U))[:,8])) for i in 1:100]/M\n",
    "x2 = [sum(abs.(reshape(sol_init_neg(dt*i),(M,U))[:,9])) for i in 1:100]/M\n",
    "x3 = [sum(abs.(reshape(sol_init_neg(dt*i),(M,U))[:,10])) for i in 1:100]/M\n",
    "plot!(x1*1, ls=:dash, lw=3, label=\"<ν>_neg\")\n",
    "plot!(x2*100, ls=:dot, lw=3, label=\"<r1>_neg\")\n",
    "plot!(x3*10, lw=3, label=\"<τ11>_neg\")\n",
    "\n",
    "\n",
    "\n",
    "current()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5625"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c1 = (2.35 - 0.1)/4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7949999999999999"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c2 = (3.28 - 0.1)/4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Velocity approximations\n",
    "\n",
    "With **small_right_p_E**     e0 = 6.; δe = 0.1    x0 = 0.; x1 = 0.2  λ = 1. /sqrt(3.) χ = [- 1.0; - 0.0; - 10.0]\n",
    "\n",
    "    1. c1 = 0.5775 *this is the sound speed, around (0.57735) for radiation\n",
    "    \n",
    "With **small_right_p**     e0 = 6.; δe = 0.1    x0 = 0.; x1 = 0.2  λ = 1. /sqrt(3.) χ = [- 1.0; - 0.5; - 10.0]   \n",
    "\n",
    "    1. c1 = 0.562\n",
    "    2. c2 = 0.795"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Grandes Desviaciones y Choques"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "ArgumentError: No file exists at given path: Resultados/Soluciones/big_right_p.jld2",
     "output_type": "error",
     "traceback": [
      "ArgumentError: No file exists at given path: Resultados/Soluciones/big_right_p.jld2",
      "",
      "Stacktrace:",
      " [1] checkpath_load",
      "   @ ~/.julia/packages/FileIO/40aie/src/loadsave.jl:167 [inlined]",
      " [2] load(file::String, args::String; options::Base.Iterators.Pairs{Union{}, Union{}, Tuple{}, NamedTuple{(), Tuple{}}})",
      "   @ FileIO ~/.julia/packages/FileIO/40aie/src/loadsave.jl:110",
      " [3] load(file::String, args::String)",
      "   @ FileIO ~/.julia/packages/FileIO/40aie/src/loadsave.jl:110",
      " [4] top-level scope",
      "   @ In[12]:1",
      " [5] eval",
      "   @ ./boot.jl:360 [inlined]",
      " [6] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "   @ Base ./loading.jl:1094"
     ]
    }
   ],
   "source": [
    "sol_big = load(\"Resultados/Soluciones/big_right_p.jld2\",\"big_right_p\");\n",
    "sol_big_neg_I = load(\"Resultados/Soluciones/big_right_p_neg_I.jld2\",\"big_right_p_neg_I\");\n",
    "sol_big_E = load(\"Resultados/Soluciones/big_right_p_E.jld2\",\"big_right_p_E\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "UndefVarError: sol_big_neg_I not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: sol_big_neg_I not defined",
      "",
      "Stacktrace:",
      " [1] ssol(t::Float64)",
      "   @ Main ./In[13]:1",
      " [2] top-level scope",
      "   @ In[13]:9",
      " [3] eval",
      "   @ ./boot.jl:360 [inlined]",
      " [4] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "   @ Base ./loading.jl:1094"
     ]
    }
   ],
   "source": [
    "ssol(t)=sol_big_neg_I(t)\n",
    "t = 4\n",
    "U=10\n",
    "M=600\n",
    "L=4\n",
    "dx = L/599\n",
    "x = 0:L/599:dx*599\n",
    "field = 1\n",
    "plot(x,reshape(ssol(0.),(M,U))[:,field],xticks = 0:0.2:10)\n",
    "plot!(x,reshape(ssol(t/1.5),(M,U))[:,field])\n",
    "#plot!(x,reshape(ssol(0.8*t),(M,U))[:,field])\n",
    "#plot!(x,reshape(ssol(0.9*t),(M,U))[:,field])\n",
    "#plot!(x,reshape(ssol(t/1),(M,U))[:,field])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Shocks at late time\n",
    "\n",
    "Notice that in the case of dissipation dere are two shocks. \n",
    "On the other hand, with negative sources the schock grows a lot. \n",
    "Not sure of that sign, we should compute the entropy....\n",
    "Clearly with the negative sign things get out of control\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "UndefVarError: sol_big not defined",
     "output_type": "error",
     "traceback": [
      "UndefVarError: sol_big not defined",
      "",
      "Stacktrace:",
      " [1] csol(t::Float64)",
      "   @ Main ./In[14]:1",
      " [2] top-level scope",
      "   @ In[14]:16",
      " [3] eval",
      "   @ ./boot.jl:360 [inlined]",
      " [4] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)",
      "   @ Base ./loading.jl:1094"
     ]
    }
   ],
   "source": [
    "csol(t) = sol_big(t)\n",
    "csol_Ing(t) = sol_big_neg_I(t)\n",
    "csolE(t) = sol_big_E(t)\n",
    "\n",
    "t = 4\n",
    "U=10\n",
    "M=600\n",
    "L=4\n",
    "dx = L/599\n",
    "x = 0:L/599:dx*599\n",
    "field = 2\n",
    "#plot(x,reshape(csol(0.),(M,U))[:,field],xticks = 0:0.2:10)#, xlim = (1.6,4))\n",
    "#plot!(x,reshape(csol(t/8),(M,U))[:,field])\n",
    "#plot!(x,reshape(csol(t/4),(M,U))[:,field])\n",
    "#plot!(x,reshape(csol(t/2),(M,U))[:,field])\n",
    "plot(x,reshape(csol(t/1),(M,U))[:,field])\n",
    "\n",
    "#plot!(x,reshape(csolE(0.),(M,U))[:,field],xticks = 0:0.2:10)\n",
    "#plot!(x,reshape(csolE(t/8),(M,U))[:,field])\n",
    "#plot!(x,reshape(csolE(t/4),(M,U))[:,field])\n",
    "#plot!(x,reshape(csolE(t/2),(M,U))[:,field])\n",
    "plot!(x,reshape(csolE(t/1),(M,U))[:,field])\n",
    "\n",
    "#plot(x,reshape(csol_Ing(0.),(M,U))[:,field],xticks = 0:0.2:10)\n",
    "#plot!(x,reshape(csol_Ing(t/8),(M,U))[:,field])\n",
    "#plot!(x,reshape(csol_Ing(t/4),(M,U))[:,field])\n",
    "#plot!(x,reshape(csol_Ing(t/2),(M,U))[:,field])\n",
    "plot!(x,reshape(csol_Ing(t/1),(M,U))[:,field])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ℯ = 2.7182818284590..."
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ℯ"
   ]
  }
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