Curve Macro.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import Plots: plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "expr_to_function_and_string (generic function with 1 method)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function expr_to_function_and_string(e::Expr)::Tuple{Expr, String}\n",
    "    (\n",
    "        :(x -> $e),\n",
    "        String(Symbol(e)),\n",
    "    )\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(:(x->begin\n",
       "          #= In[2]:3 =#\n",
       "          x + sin(x ^ 2)\n",
       "      end), \"x + sin(x ^ 2)\")"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "let e = :(x + sin(x^2))\n",
    "    expr_to_function_and_string(e)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "@curve (macro with 1 method)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "macro curve(e, from, to)\n",
    "    @assert isa(from, Number)\n",
    "    @assert isa(to, Number)\n",
    "    func_expr, expr_str = expr_to_function_and_string(e)\n",
    "    quote\n",
    "        plot(\n",
    "            range($from, $to, length = 1000),\n",
    "            $func_expr,\n",
    "            xlabel=\"x\",\n",
    "            ylabel=$expr_str,\n",
    "            leg=false,\n",
    "        )\n",
    "    end\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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       "  326.095,1362.28 328.103,1355.21 330.112,1347.31 332.121,1338.64 334.129,1329.26 336.138,1319.27 338.147,1308.74 340.155,1297.76 342.164,1286.42 344.172,1274.82 \n",
       "  346.181,1263.06 348.19,1251.21 350.198,1239.39 352.207,1227.69 354.216,1216.18 356.224,1204.98 358.233,1194.15 360.242,1183.78 362.25,1173.96 364.259,1164.74 \n",
       "  366.268,1156.19 368.276,1148.37 370.285,1141.34 372.293,1135.14 374.302,1129.79 376.311,1125.35 378.319,1121.82 380.328,1119.21 382.337,1117.55 384.345,1116.81 \n",
       "  386.354,1117 388.363,1118.1 390.371,1120.07 392.38,1122.9 394.389,1126.55 396.397,1130.96 398.406,1136.1 400.414,1141.9 402.423,1148.31 404.432,1155.26 \n",
       "  406.44,1162.69 408.449,1170.53 410.458,1178.71 412.466,1187.15 414.475,1195.77 416.484,1204.5 418.492,1213.28 420.501,1222.01 422.51,1230.62 424.518,1239.05 \n",
       "  426.527,1247.23 428.535,1255.08 430.544,1262.55 432.553,1269.57 434.561,1276.08 436.57,1282.04 438.579,1287.39 440.587,1292.1 442.596,1296.12 444.605,1299.43 \n",
       "  446.613,1301.99 448.622,1303.79 450.631,1304.82 452.639,1305.05 454.648,1304.49 456.656,1303.15 458.665,1301.02 460.674,1298.11 462.682,1294.46 464.691,1290.07 \n",
       "  466.7,1284.98 468.708,1279.22 470.717,1272.83 472.726,1265.83 474.734,1258.29 476.743,1250.23 478.752,1241.73 480.76,1232.81 482.769,1223.54 484.777,1213.98 \n",
       "  486.786,1204.18 488.795,1194.19 490.803,1184.08 492.812,1173.9 494.821,1163.71 496.829,1153.57 498.838,1143.53 500.847,1133.65 502.855,1123.98 504.864,1114.58 \n",
       "  506.873,1105.48 508.881,1096.74 510.89,1088.4 512.899,1080.51 514.907,1073.09 516.916,1066.18 518.924,1059.81 520.933,1054.01 522.942,1048.81 524.95,1044.21 \n",
       "  526.959,1040.24 528.968,1036.91 530.976,1034.22 532.985,1032.19 534.994,1030.8 537.002,1030.05 539.011,1029.95 541.02,1030.47 543.028,1031.6 545.037,1033.33 \n",
       "  547.045,1035.64 549.054,1038.49 551.063,1041.87 553.071,1045.74 555.08,1050.08 557.089,1054.85 559.097,1060.02 561.106,1065.54 563.115,1071.39 565.123,1077.52 \n",
       "  567.132,1083.89 569.141,1090.46 571.149,1097.19 573.158,1104.03 575.166,1110.96 577.175,1117.91 579.184,1124.86 581.192,1131.75 583.201,1138.56 585.21,1145.24 \n",
       "  587.218,1151.76 589.227,1158.08 591.236,1164.16 593.244,1169.97 595.253,1175.48 597.262,1180.66 599.27,1185.48 601.279,1189.93 603.287,1193.96 605.296,1197.57 \n",
       "  607.305,1200.74 609.313,1203.44 611.322,1205.67 613.331,1207.41 615.339,1208.66 617.348,1209.41 619.357,1209.65 621.365,1209.39 623.374,1208.62 625.383,1207.35 \n",
       "  627.391,1205.57 629.4,1203.31 631.408,1200.57 633.417,1197.35 635.426,1193.68 637.434,1189.56 639.443,1185.02 641.452,1180.08 643.46,1174.74 645.469,1169.04 \n",
       "  647.478,1163 649.486,1156.63 651.495,1149.97 653.504,1143.04 655.512,1135.86 657.521,1128.47 659.53,1120.88 661.538,1113.13 663.547,1105.24 665.555,1097.24 \n",
       "  667.564,1089.17 669.573,1081.04 671.581,1072.88 673.59,1064.73 675.599,1056.6 677.607,1048.53 679.616,1040.53 681.625,1032.64 683.633,1024.88 685.642,1017.27 \n",
       "  687.651,1009.83 689.659,1002.59 691.668,995.564 693.676,988.769 695.685,982.226 697.694,975.95 699.702,969.957 701.711,964.261 703.72,958.875 705.728,953.811 \n",
       "  707.737,949.077 709.746,944.684 711.754,940.639 713.763,936.947 715.772,933.614 717.78,930.642 719.789,928.036 721.797,925.794 723.806,923.917 725.815,922.404 \n",
       "  727.823,921.251 729.832,920.455 731.841,920.012 733.849,919.914 735.858,920.156 737.867,920.728 739.875,921.623 741.884,922.831 743.893,924.341 745.901,926.142 \n",
       "  747.91,928.222 749.918,930.568 751.927,933.167 753.936,936.006 755.944,939.07 757.953,942.345 759.962,945.816 761.97,949.467 763.979,953.283 765.988,957.249 \n",
       "  767.996,961.348 770.005,965.565 772.014,969.884 774.022,974.289 776.031,978.763 778.039,983.292 780.048,987.859 782.057,992.449 784.065,997.047 786.074,1001.64 \n",
       "  788.083,1006.21 790.091,1010.74 792.1,1015.23 794.109,1019.65 796.117,1023.99 798.126,1028.25 800.135,1032.4 802.143,1036.45 804.152,1040.36 806.16,1044.15 \n",
       "  808.169,1047.79 810.178,1051.28 812.186,1054.6 814.195,1057.75 816.204,1060.73 818.212,1063.52 820.221,1066.11 822.23,1068.51 824.238,1070.71 826.247,1072.7 \n",
       "  828.256,1074.47 830.264,1076.03 832.273,1077.37 834.282,1078.49 836.29,1079.38 838.299,1080.05 840.307,1080.5 842.316,1080.72 844.325,1080.71 846.333,1080.48 \n",
       "  848.342,1080.03 850.351,1079.36 852.359,1078.46 854.368,1077.35 856.377,1076.02 858.385,1074.49 860.394,1072.74 862.403,1070.8 864.411,1068.65 866.42,1066.31 \n",
       "  868.428,1063.78 870.437,1061.06 872.446,1058.17 874.454,1055.11 876.463,1051.87 878.472,1048.48 880.48,1044.93 882.489,1041.24 884.498,1037.4 886.506,1033.43 \n",
       "  888.515,1029.33 890.524,1025.1 892.532,1020.77 894.541,1016.32 896.549,1011.78 898.558,1007.14 900.567,1002.42 902.575,997.612 904.584,992.735 906.593,987.793 \n",
       "  908.601,982.791 910.61,977.738 912.619,972.64 914.627,967.503 916.636,962.333 918.645,957.138 920.653,951.924 922.662,946.696 924.67,941.461 926.679,936.225 \n",
       "  928.688,930.993 930.696,925.771 932.705,920.564 934.714,915.378 936.722,910.217 938.731,905.088 940.74,899.993 942.748,894.939 944.757,889.928 946.766,884.967 \n",
       "  948.774,880.057 950.783,875.204 952.791,870.411 954.8,865.681 956.809,861.017 958.817,856.423 960.826,851.902 962.835,847.455 964.843,843.086 966.852,838.798 \n",
       "  968.861,834.591 970.869,830.468 972.878,826.431 974.887,822.481 976.895,818.62 978.904,814.849 980.912,811.17 982.921,807.583 984.93,804.088 986.938,800.687 \n",
       "  988.947,797.381 990.956,794.168 992.964,791.051 994.973,788.028 996.982,785.1 998.99,782.266 1001,779.527 1003.01,776.882 1005.02,774.33 1007.02,771.871 \n",
       "  1009.03,769.504 1011.04,767.228 1013.05,765.042 1015.06,762.946 1017.07,760.938 1019.08,759.018 1021.09,757.183 1023.09,755.432 1025.1,753.765 1027.11,752.18 \n",
       "  1029.12,750.675 1031.13,749.249 1033.14,747.901 1035.15,746.628 1037.15,745.429 1039.16,744.302 1041.17,743.246 1043.18,742.258 1045.19,741.338 1047.2,740.483 \n",
       "  1049.21,739.691 1051.22,738.961 1053.22,738.29 1055.23,737.678 1057.24,737.121 1059.25,736.619 1061.26,736.169 1063.27,735.769 1065.28,735.417 1067.28,735.113 \n",
       "  1069.29,734.853 1071.3,734.636 1073.31,734.46 1075.32,734.324 1077.33,734.225 1079.34,734.162 1081.34,734.132 1083.35,734.135 1085.36,734.169 1087.37,734.231 \n",
       "  1089.38,734.32 1091.39,734.435 1093.4,734.574 1095.41,734.735 1097.41,734.916 1099.42,735.117 1101.43,735.335 1103.44,735.569 1105.45,735.818 1107.46,736.081 \n",
       "  1109.47,736.355 1111.47,736.639 1113.48,736.933 1115.49,737.235 1117.5,737.543 1119.51,737.857 1121.52,738.175 1123.53,738.496 1125.53,738.819 1127.54,739.143 \n",
       "  1129.55,739.466 1131.56,739.788 1133.57,740.108 1135.58,740.425 1137.59,740.737 1139.6,741.044 1141.6,741.346 1143.61,741.64 1145.62,741.927 1147.63,742.205 \n",
       "  1149.64,742.475 1151.65,742.734 1153.66,742.983 1155.66,743.22 1157.67,743.445 1159.68,743.658 1161.69,743.858 1163.7,744.043 1165.71,744.215 1167.72,744.372 \n",
       "  1169.73,744.513 1171.73,744.639 1173.74,744.748 1175.75,744.841 1177.76,744.916 1179.77,744.974 1181.78,745.015 1183.79,745.037 1185.79,745.04 1187.8,745.025 \n",
       "  1189.81,744.99 1191.82,744.936 1193.83,744.863 1195.84,744.769 1197.85,744.655 1199.85,744.521 1201.86,744.366 1203.87,744.19 1205.88,743.994 1207.89,743.776 \n",
       "  1209.9,743.537 1211.91,743.276 1213.92,742.994 1215.92,742.69 1217.93,742.365 1219.94,742.017 1221.95,741.647 1223.96,741.255 1225.97,740.841 1227.98,740.405 \n",
       "  1229.98,739.946 1231.99,739.465 1234,738.962 1236.01,738.436 1238.02,737.887 1240.03,737.316 1242.04,736.722 1244.04,736.105 1246.05,735.466 1248.06,734.804 \n",
       "  1250.07,734.119 1252.08,733.411 1254.09,732.681 1256.1,731.928 1258.11,731.152 1260.11,730.353 1262.12,729.531 1264.13,728.687 1266.14,727.82 1268.15,726.93 \n",
       "  1270.16,726.017 1272.17,725.081 1274.17,724.122 1276.18,723.141 1278.19,722.136 1280.2,721.109 1282.21,720.059 1284.22,718.986 1286.23,717.89 1288.23,716.772 \n",
       "  1290.24,715.63 1292.25,714.466 1294.26,713.279 1296.27,712.069 1298.28,710.836 1300.29,709.58 1302.3,708.302 1304.3,707 1306.31,705.676 1308.32,704.329 \n",
       "  1310.33,702.959 1312.34,701.566 1314.35,700.15 1316.36,698.712 1318.36,697.251 1320.37,695.766 1322.38,694.259 1324.39,692.73 1326.4,691.177 1328.41,689.602 \n",
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       "  1410.76,606.254 1412.77,603.814 1414.78,601.36 1416.79,598.891 1418.8,596.409 1420.81,593.913 1422.81,591.405 1424.82,588.884 1426.83,586.353 1428.84,583.811 \n",
       "  1430.85,581.259 1432.86,578.697 1434.87,576.128 1436.87,573.55 1438.88,570.966 1440.89,568.376 1442.9,565.78 1444.91,563.181 1446.92,560.578 1448.93,557.973 \n",
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       "  1471.02,529.475 1473.03,526.93 1475.04,524.398 1477.05,521.881 1479.06,519.379 1481.06,516.896 1483.07,514.431 1485.08,511.988 1487.09,509.566 1489.1,507.168 \n",
       "  1491.11,504.796 1493.12,502.451 1495.13,500.135 1497.13,497.849 1499.14,495.595 1501.15,493.375 1503.16,491.191 1505.17,489.045 1507.18,486.938 1509.19,484.872 \n",
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       "  1531.28,465.389 1533.29,463.961 1535.3,462.599 1537.31,461.303 1539.32,460.077 1541.32,458.92 1543.33,457.837 1545.34,456.827 1547.35,455.892 1549.36,455.035 \n",
       "  1551.37,454.257 1553.38,453.56 1555.38,452.944 1557.39,452.411 1559.4,451.963 1561.41,451.601 1563.42,451.326 1565.43,451.139 1567.44,451.041 1569.45,451.034 \n",
       "  1571.45,451.119 1573.46,451.295 1575.47,451.564 1577.48,451.926 1579.49,452.382 1581.5,452.933 1583.51,453.578 1585.51,454.318 1587.52,455.153 1589.53,456.082 \n",
       "  1591.54,457.106 1593.55,458.224 1595.56,459.435 1597.57,460.739 1599.57,462.136 1601.58,463.624 1603.59,465.202 1605.6,466.869 1607.61,468.623 1609.62,470.463 \n",
       "  1611.63,472.387 1613.64,474.393 1615.64,476.478 1617.65,478.642 1619.66,480.88 1621.67,483.192 1623.68,485.572 1625.69,488.019 1627.7,490.53 1629.7,493.1 \n",
       "  1631.71,495.726 1633.72,498.405 1635.73,501.133 1637.74,503.904 1639.75,506.716 1641.76,509.562 1643.76,512.44 1645.77,515.343 1647.78,518.267 1649.79,521.206 \n",
       "  1651.8,524.155 1653.81,527.109 1655.82,530.061 1657.83,533.005 1659.83,535.937 1661.84,538.849 1663.85,541.735 1665.86,544.59 1667.87,547.405 1669.88,550.175 \n",
       "  1671.89,552.894 1673.89,555.553 1675.9,558.147 1677.91,560.668 1679.92,563.11 1681.93,565.465 1683.94,567.726 1685.95,569.888 1687.96,571.941 1689.96,573.881 \n",
       "  1691.97,575.698 1693.98,577.388 1695.99,578.943 1698,580.356 1700.01,581.621 1702.02,582.731 1704.02,583.68 1706.03,584.463 1708.04,585.072 1710.05,585.503 \n",
       "  1712.06,585.75 1714.07,585.808 1716.08,585.671 1718.08,585.336 1720.09,584.797 1722.1,584.052 1724.11,583.095 1726.12,581.924 1728.13,580.535 1730.14,578.928 \n",
       "  1732.15,577.098 1734.15,575.045 1736.16,572.767 1738.17,570.264 1740.18,567.535 1742.19,564.581 1744.2,561.403 1746.21,558.001 1748.21,554.378 1750.22,550.537 \n",
       "  1752.23,546.479 1754.24,542.209 1756.25,537.731 1758.26,533.049 1760.27,528.169 1762.27,523.097 1764.28,517.84 1766.29,512.403 1768.3,506.796 1770.31,501.027 \n",
       "  1772.32,495.104 1774.33,489.036 1776.34,482.834 1778.34,476.509 1780.35,470.071 1782.36,463.532 1784.37,456.904 1786.38,450.2 1788.39,443.433 1790.4,436.616 \n",
       "  1792.4,429.764 1794.41,422.889 1796.42,416.008 1798.43,409.135 1800.44,402.285 1802.45,395.473 1804.46,388.716 1806.47,382.029 1808.47,375.427 1810.48,368.927 \n",
       "  1812.49,362.545 1814.5,356.296 1816.51,350.197 1818.52,344.263 1820.53,338.509 1822.53,332.951 1824.54,327.604 1826.55,322.482 1828.56,317.6 1830.57,312.971 \n",
       "  1832.58,308.608 1834.59,304.524 1836.59,300.731 1838.6,297.241 1840.61,294.063 1842.62,291.207 1844.63,288.683 1846.64,286.497 1848.65,284.658 1850.66,283.171 \n",
       "  1852.66,282.04 1854.67,281.271 1856.68,280.865 1858.69,280.824 1860.7,281.148 1862.71,281.836 1864.72,282.886 1866.72,284.295 1868.73,286.058 1870.74,288.168 \n",
       "  1872.75,290.618 1874.76,293.4 1876.77,296.503 1878.78,299.916 1880.78,303.625 1882.79,307.618 1884.8,311.879 1886.81,316.391 1888.82,321.136 1890.83,326.095 \n",
       "  1892.84,331.249 1894.85,336.577 1896.85,342.055 1898.86,347.661 1900.87,353.372 1902.88,359.162 1904.89,365.006 1906.9,370.878 1908.91,376.751 1910.91,382.598 \n",
       "  1912.92,388.392 1914.93,394.105 1916.94,399.71 1918.95,405.178 1920.96,410.482 1922.97,415.595 1924.98,420.49 1926.98,425.139 1928.99,429.518 1931,433.6 \n",
       "  1933.01,437.362 1935.02,440.779 1937.03,443.831 1939.04,446.495 1941.04,448.751 1943.05,450.583 1945.06,451.972 1947.07,452.904 1949.08,453.366 1951.09,453.346 \n",
       "  1953.1,452.835 1955.1,451.826 1957.11,450.314 1959.12,448.295 1961.13,445.769 1963.14,442.738 1965.15,439.206 1967.16,435.18 1969.17,430.667 1971.17,425.68 \n",
       "  1973.18,420.232 1975.19,414.339 1977.2,408.02 1979.21,401.296 1981.22,394.189 1983.23,386.725 1985.23,378.932 1987.24,370.838 1989.25,362.475 1991.26,353.876 \n",
       "  1993.27,345.076 1995.28,336.111 1997.29,327.019 1999.29,317.838 2001.3,308.609 2003.31,299.372 2005.32,290.168 2007.33,281.04 2009.34,272.028 2011.35,263.175 \n",
       "  2013.36,254.522 2015.36,246.11 2017.37,237.98 2019.38,230.172 2021.39,222.722 2023.4,215.669 2025.41,209.047 2027.42,202.89 2029.42,197.228 2031.43,192.091 \n",
       "  2033.44,187.505 2035.45,183.493 2037.46,180.076 2039.47,177.272 2041.48,175.094 2043.49,173.555 2045.49,172.661 2047.5,172.415 2049.51,172.819 2051.52,173.868 \n",
       "  2053.53,175.554 2055.54,177.867 2057.55,180.79 2059.55,184.305 2061.56,188.389 2063.57,193.014 2065.58,198.152 2067.59,203.767 2069.6,209.822 2071.61,216.278 \n",
       "  2073.61,223.091 2075.62,230.214 2077.63,237.599 2079.64,245.196 2081.65,252.95 2083.66,260.808 2085.67,268.714 2087.68,276.61 2089.68,284.439 2091.69,292.143 \n",
       "  2093.7,299.664 2095.71,306.945 2097.72,313.929 2099.73,320.561 2101.74,326.788 2103.74,332.557 2105.75,337.82 2107.76,342.53 2109.77,346.644 2111.78,350.122 \n",
       "  2113.79,352.928 2115.8,355.031 2117.8,356.403 2119.81,357.022 2121.82,356.87 2123.83,355.934 2125.84,354.209 2127.85,351.691 2129.86,348.385 2131.87,344.3 \n",
       "  2133.87,339.452 2135.88,333.862 2137.89,327.556 2139.9,320.566 2141.91,312.93 2143.92,304.69 2145.93,295.894 2147.93,286.593 2149.94,276.845 2151.95,266.71 \n",
       "  2153.96,256.251 2155.97,245.537 2157.98,234.637 2159.99,223.623 2162,212.57 2164,201.552 2166.01,190.645 2168.02,179.925 2170.03,169.466 2172.04,159.343 \n",
       "  2174.05,149.629 2176.06,140.392 2178.06,131.699 2180.07,123.614 2182.08,116.196 2184.09,109.499 2186.1,103.572 2188.11,98.4599 2190.12,94.1991 2192.12,90.8207 \n",
       "  2194.13,88.349 2196.14,86.8008 2198.15,86.1857 2200.16,86.5054 2202.17,87.7542 2204.18,89.9183 2206.19,92.9761 2208.19,96.8983 2210.2,101.648 2212.21,107.181 \n",
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       "  366.268,1156.19 368.276,1148.37 370.285,1141.34 372.293,1135.14 374.302,1129.79 376.311,1125.35 378.319,1121.82 380.328,1119.21 382.337,1117.55 384.345,1116.81 \n",
       "  386.354,1117 388.363,1118.1 390.371,1120.07 392.38,1122.9 394.389,1126.55 396.397,1130.96 398.406,1136.1 400.414,1141.9 402.423,1148.31 404.432,1155.26 \n",
       "  406.44,1162.69 408.449,1170.53 410.458,1178.71 412.466,1187.15 414.475,1195.77 416.484,1204.5 418.492,1213.28 420.501,1222.01 422.51,1230.62 424.518,1239.05 \n",
       "  426.527,1247.23 428.535,1255.08 430.544,1262.55 432.553,1269.57 434.561,1276.08 436.57,1282.04 438.579,1287.39 440.587,1292.1 442.596,1296.12 444.605,1299.43 \n",
       "  446.613,1301.99 448.622,1303.79 450.631,1304.82 452.639,1305.05 454.648,1304.49 456.656,1303.15 458.665,1301.02 460.674,1298.11 462.682,1294.46 464.691,1290.07 \n",
       "  466.7,1284.98 468.708,1279.22 470.717,1272.83 472.726,1265.83 474.734,1258.29 476.743,1250.23 478.752,1241.73 480.76,1232.81 482.769,1223.54 484.777,1213.98 \n",
       "  486.786,1204.18 488.795,1194.19 490.803,1184.08 492.812,1173.9 494.821,1163.71 496.829,1153.57 498.838,1143.53 500.847,1133.65 502.855,1123.98 504.864,1114.58 \n",
       "  506.873,1105.48 508.881,1096.74 510.89,1088.4 512.899,1080.51 514.907,1073.09 516.916,1066.18 518.924,1059.81 520.933,1054.01 522.942,1048.81 524.95,1044.21 \n",
       "  526.959,1040.24 528.968,1036.91 530.976,1034.22 532.985,1032.19 534.994,1030.8 537.002,1030.05 539.011,1029.95 541.02,1030.47 543.028,1031.6 545.037,1033.33 \n",
       "  547.045,1035.64 549.054,1038.49 551.063,1041.87 553.071,1045.74 555.08,1050.08 557.089,1054.85 559.097,1060.02 561.106,1065.54 563.115,1071.39 565.123,1077.52 \n",
       "  567.132,1083.89 569.141,1090.46 571.149,1097.19 573.158,1104.03 575.166,1110.96 577.175,1117.91 579.184,1124.86 581.192,1131.75 583.201,1138.56 585.21,1145.24 \n",
       "  587.218,1151.76 589.227,1158.08 591.236,1164.16 593.244,1169.97 595.253,1175.48 597.262,1180.66 599.27,1185.48 601.279,1189.93 603.287,1193.96 605.296,1197.57 \n",
       "  607.305,1200.74 609.313,1203.44 611.322,1205.67 613.331,1207.41 615.339,1208.66 617.348,1209.41 619.357,1209.65 621.365,1209.39 623.374,1208.62 625.383,1207.35 \n",
       "  627.391,1205.57 629.4,1203.31 631.408,1200.57 633.417,1197.35 635.426,1193.68 637.434,1189.56 639.443,1185.02 641.452,1180.08 643.46,1174.74 645.469,1169.04 \n",
       "  647.478,1163 649.486,1156.63 651.495,1149.97 653.504,1143.04 655.512,1135.86 657.521,1128.47 659.53,1120.88 661.538,1113.13 663.547,1105.24 665.555,1097.24 \n",
       "  667.564,1089.17 669.573,1081.04 671.581,1072.88 673.59,1064.73 675.599,1056.6 677.607,1048.53 679.616,1040.53 681.625,1032.64 683.633,1024.88 685.642,1017.27 \n",
       "  687.651,1009.83 689.659,1002.59 691.668,995.564 693.676,988.769 695.685,982.226 697.694,975.95 699.702,969.957 701.711,964.261 703.72,958.875 705.728,953.811 \n",
       "  707.737,949.077 709.746,944.684 711.754,940.639 713.763,936.947 715.772,933.614 717.78,930.642 719.789,928.036 721.797,925.794 723.806,923.917 725.815,922.404 \n",
       "  727.823,921.251 729.832,920.455 731.841,920.012 733.849,919.914 735.858,920.156 737.867,920.728 739.875,921.623 741.884,922.831 743.893,924.341 745.901,926.142 \n",
       "  747.91,928.222 749.918,930.568 751.927,933.167 753.936,936.006 755.944,939.07 757.953,942.345 759.962,945.816 761.97,949.467 763.979,953.283 765.988,957.249 \n",
       "  767.996,961.348 770.005,965.565 772.014,969.884 774.022,974.289 776.031,978.763 778.039,983.292 780.048,987.859 782.057,992.449 784.065,997.047 786.074,1001.64 \n",
       "  788.083,1006.21 790.091,1010.74 792.1,1015.23 794.109,1019.65 796.117,1023.99 798.126,1028.25 800.135,1032.4 802.143,1036.45 804.152,1040.36 806.16,1044.15 \n",
       "  808.169,1047.79 810.178,1051.28 812.186,1054.6 814.195,1057.75 816.204,1060.73 818.212,1063.52 820.221,1066.11 822.23,1068.51 824.238,1070.71 826.247,1072.7 \n",
       "  828.256,1074.47 830.264,1076.03 832.273,1077.37 834.282,1078.49 836.29,1079.38 838.299,1080.05 840.307,1080.5 842.316,1080.72 844.325,1080.71 846.333,1080.48 \n",
       "  848.342,1080.03 850.351,1079.36 852.359,1078.46 854.368,1077.35 856.377,1076.02 858.385,1074.49 860.394,1072.74 862.403,1070.8 864.411,1068.65 866.42,1066.31 \n",
       "  868.428,1063.78 870.437,1061.06 872.446,1058.17 874.454,1055.11 876.463,1051.87 878.472,1048.48 880.48,1044.93 882.489,1041.24 884.498,1037.4 886.506,1033.43 \n",
       "  888.515,1029.33 890.524,1025.1 892.532,1020.77 894.541,1016.32 896.549,1011.78 898.558,1007.14 900.567,1002.42 902.575,997.612 904.584,992.735 906.593,987.793 \n",
       "  908.601,982.791 910.61,977.738 912.619,972.64 914.627,967.503 916.636,962.333 918.645,957.138 920.653,951.924 922.662,946.696 924.67,941.461 926.679,936.225 \n",
       "  928.688,930.993 930.696,925.771 932.705,920.564 934.714,915.378 936.722,910.217 938.731,905.088 940.74,899.993 942.748,894.939 944.757,889.928 946.766,884.967 \n",
       "  948.774,880.057 950.783,875.204 952.791,870.411 954.8,865.681 956.809,861.017 958.817,856.423 960.826,851.902 962.835,847.455 964.843,843.086 966.852,838.798 \n",
       "  968.861,834.591 970.869,830.468 972.878,826.431 974.887,822.481 976.895,818.62 978.904,814.849 980.912,811.17 982.921,807.583 984.93,804.088 986.938,800.687 \n",
       "  988.947,797.381 990.956,794.168 992.964,791.051 994.973,788.028 996.982,785.1 998.99,782.266 1001,779.527 1003.01,776.882 1005.02,774.33 1007.02,771.871 \n",
       "  1009.03,769.504 1011.04,767.228 1013.05,765.042 1015.06,762.946 1017.07,760.938 1019.08,759.018 1021.09,757.183 1023.09,755.432 1025.1,753.765 1027.11,752.18 \n",
       "  1029.12,750.675 1031.13,749.249 1033.14,747.901 1035.15,746.628 1037.15,745.429 1039.16,744.302 1041.17,743.246 1043.18,742.258 1045.19,741.338 1047.2,740.483 \n",
       "  1049.21,739.691 1051.22,738.961 1053.22,738.29 1055.23,737.678 1057.24,737.121 1059.25,736.619 1061.26,736.169 1063.27,735.769 1065.28,735.417 1067.28,735.113 \n",
       "  1069.29,734.853 1071.3,734.636 1073.31,734.46 1075.32,734.324 1077.33,734.225 1079.34,734.162 1081.34,734.132 1083.35,734.135 1085.36,734.169 1087.37,734.231 \n",
       "  1089.38,734.32 1091.39,734.435 1093.4,734.574 1095.41,734.735 1097.41,734.916 1099.42,735.117 1101.43,735.335 1103.44,735.569 1105.45,735.818 1107.46,736.081 \n",
       "  1109.47,736.355 1111.47,736.639 1113.48,736.933 1115.49,737.235 1117.5,737.543 1119.51,737.857 1121.52,738.175 1123.53,738.496 1125.53,738.819 1127.54,739.143 \n",
       "  1129.55,739.466 1131.56,739.788 1133.57,740.108 1135.58,740.425 1137.59,740.737 1139.6,741.044 1141.6,741.346 1143.61,741.64 1145.62,741.927 1147.63,742.205 \n",
       "  1149.64,742.475 1151.65,742.734 1153.66,742.983 1155.66,743.22 1157.67,743.445 1159.68,743.658 1161.69,743.858 1163.7,744.043 1165.71,744.215 1167.72,744.372 \n",
       "  1169.73,744.513 1171.73,744.639 1173.74,744.748 1175.75,744.841 1177.76,744.916 1179.77,744.974 1181.78,745.015 1183.79,745.037 1185.79,745.04 1187.8,745.025 \n",
       "  1189.81,744.99 1191.82,744.936 1193.83,744.863 1195.84,744.769 1197.85,744.655 1199.85,744.521 1201.86,744.366 1203.87,744.19 1205.88,743.994 1207.89,743.776 \n",
       "  1209.9,743.537 1211.91,743.276 1213.92,742.994 1215.92,742.69 1217.93,742.365 1219.94,742.017 1221.95,741.647 1223.96,741.255 1225.97,740.841 1227.98,740.405 \n",
       "  1229.98,739.946 1231.99,739.465 1234,738.962 1236.01,738.436 1238.02,737.887 1240.03,737.316 1242.04,736.722 1244.04,736.105 1246.05,735.466 1248.06,734.804 \n",
       "  1250.07,734.119 1252.08,733.411 1254.09,732.681 1256.1,731.928 1258.11,731.152 1260.11,730.353 1262.12,729.531 1264.13,728.687 1266.14,727.82 1268.15,726.93 \n",
       "  1270.16,726.017 1272.17,725.081 1274.17,724.122 1276.18,723.141 1278.19,722.136 1280.2,721.109 1282.21,720.059 1284.22,718.986 1286.23,717.89 1288.23,716.772 \n",
       "  1290.24,715.63 1292.25,714.466 1294.26,713.279 1296.27,712.069 1298.28,710.836 1300.29,709.58 1302.3,708.302 1304.3,707 1306.31,705.676 1308.32,704.329 \n",
       "  1310.33,702.959 1312.34,701.566 1314.35,700.15 1316.36,698.712 1318.36,697.251 1320.37,695.766 1322.38,694.259 1324.39,692.73 1326.4,691.177 1328.41,689.602 \n",
       "  1330.42,688.004 1332.43,686.383 1334.43,684.739 1336.44,683.073 1338.45,681.384 1340.46,679.672 1342.47,677.938 1344.48,676.181 1346.49,674.402 1348.49,672.6 \n",
       "  1350.5,670.775 1352.51,668.929 1354.52,667.06 1356.53,665.169 1358.54,663.256 1360.55,661.32 1362.55,659.363 1364.56,657.384 1366.57,655.383 1368.58,653.361 \n",
       "  1370.59,651.317 1372.6,649.252 1374.61,647.166 1376.62,645.058 1378.62,642.93 1380.63,640.782 1382.64,638.613 1384.65,636.423 1386.66,634.214 1388.67,631.985 \n",
       "  1390.68,629.737 1392.68,627.469 1394.69,625.183 1396.7,622.878 1398.71,620.554 1400.72,618.213 1402.73,615.855 1404.74,613.479 1406.74,611.087 1408.75,608.678 \n",
       "  1410.76,606.254 1412.77,603.814 1414.78,601.36 1416.79,598.891 1418.8,596.409 1420.81,593.913 1422.81,591.405 1424.82,588.884 1426.83,586.353 1428.84,583.811 \n",
       "  1430.85,581.259 1432.86,578.697 1434.87,576.128 1436.87,573.55 1438.88,570.966 1440.89,568.376 1442.9,565.78 1444.91,563.181 1446.92,560.578 1448.93,557.973 \n",
       "  1450.94,555.366 1452.94,552.76 1454.95,550.154 1456.96,547.55 1458.97,544.949 1460.98,542.352 1462.99,539.761 1465,537.176 1467,534.6 1469.01,532.032 \n",
       "  1471.02,529.475 1473.03,526.93 1475.04,524.398 1477.05,521.881 1479.06,519.379 1481.06,516.896 1483.07,514.431 1485.08,511.988 1487.09,509.566 1489.1,507.168 \n",
       "  1491.11,504.796 1493.12,502.451 1495.13,500.135 1497.13,497.849 1499.14,495.595 1501.15,493.375 1503.16,491.191 1505.17,489.045 1507.18,486.938 1509.19,484.872 \n",
       "  1511.19,482.849 1513.2,480.87 1515.21,478.939 1517.22,477.056 1519.23,475.223 1521.24,473.442 1523.25,471.716 1525.25,470.046 1527.26,468.433 1529.27,466.88 \n",
       "  1531.28,465.389 1533.29,463.961 1535.3,462.599 1537.31,461.303 1539.32,460.077 1541.32,458.92 1543.33,457.837 1545.34,456.827 1547.35,455.892 1549.36,455.035 \n",
       "  1551.37,454.257 1553.38,453.56 1555.38,452.944 1557.39,452.411 1559.4,451.963 1561.41,451.601 1563.42,451.326 1565.43,451.139 1567.44,451.041 1569.45,451.034 \n",
       "  1571.45,451.119 1573.46,451.295 1575.47,451.564 1577.48,451.926 1579.49,452.382 1581.5,452.933 1583.51,453.578 1585.51,454.318 1587.52,455.153 1589.53,456.082 \n",
       "  1591.54,457.106 1593.55,458.224 1595.56,459.435 1597.57,460.739 1599.57,462.136 1601.58,463.624 1603.59,465.202 1605.6,466.869 1607.61,468.623 1609.62,470.463 \n",
       "  1611.63,472.387 1613.64,474.393 1615.64,476.478 1617.65,478.642 1619.66,480.88 1621.67,483.192 1623.68,485.572 1625.69,488.019 1627.7,490.53 1629.7,493.1 \n",
       "  1631.71,495.726 1633.72,498.405 1635.73,501.133 1637.74,503.904 1639.75,506.716 1641.76,509.562 1643.76,512.44 1645.77,515.343 1647.78,518.267 1649.79,521.206 \n",
       "  1651.8,524.155 1653.81,527.109 1655.82,530.061 1657.83,533.005 1659.83,535.937 1661.84,538.849 1663.85,541.735 1665.86,544.59 1667.87,547.405 1669.88,550.175 \n",
       "  1671.89,552.894 1673.89,555.553 1675.9,558.147 1677.91,560.668 1679.92,563.11 1681.93,565.465 1683.94,567.726 1685.95,569.888 1687.96,571.941 1689.96,573.881 \n",
       "  1691.97,575.698 1693.98,577.388 1695.99,578.943 1698,580.356 1700.01,581.621 1702.02,582.731 1704.02,583.68 1706.03,584.463 1708.04,585.072 1710.05,585.503 \n",
       "  1712.06,585.75 1714.07,585.808 1716.08,585.671 1718.08,585.336 1720.09,584.797 1722.1,584.052 1724.11,583.095 1726.12,581.924 1728.13,580.535 1730.14,578.928 \n",
       "  1732.15,577.098 1734.15,575.045 1736.16,572.767 1738.17,570.264 1740.18,567.535 1742.19,564.581 1744.2,561.403 1746.21,558.001 1748.21,554.378 1750.22,550.537 \n",
       "  1752.23,546.479 1754.24,542.209 1756.25,537.731 1758.26,533.049 1760.27,528.169 1762.27,523.097 1764.28,517.84 1766.29,512.403 1768.3,506.796 1770.31,501.027 \n",
       "  1772.32,495.104 1774.33,489.036 1776.34,482.834 1778.34,476.509 1780.35,470.071 1782.36,463.532 1784.37,456.904 1786.38,450.2 1788.39,443.433 1790.4,436.616 \n",
       "  1792.4,429.764 1794.41,422.889 1796.42,416.008 1798.43,409.135 1800.44,402.285 1802.45,395.473 1804.46,388.716 1806.47,382.029 1808.47,375.427 1810.48,368.927 \n",
       "  1812.49,362.545 1814.5,356.296 1816.51,350.197 1818.52,344.263 1820.53,338.509 1822.53,332.951 1824.54,327.604 1826.55,322.482 1828.56,317.6 1830.57,312.971 \n",
       "  1832.58,308.608 1834.59,304.524 1836.59,300.731 1838.6,297.241 1840.61,294.063 1842.62,291.207 1844.63,288.683 1846.64,286.497 1848.65,284.658 1850.66,283.171 \n",
       "  1852.66,282.04 1854.67,281.271 1856.68,280.865 1858.69,280.824 1860.7,281.148 1862.71,281.836 1864.72,282.886 1866.72,284.295 1868.73,286.058 1870.74,288.168 \n",
       "  1872.75,290.618 1874.76,293.4 1876.77,296.503 1878.78,299.916 1880.78,303.625 1882.79,307.618 1884.8,311.879 1886.81,316.391 1888.82,321.136 1890.83,326.095 \n",
       "  1892.84,331.249 1894.85,336.577 1896.85,342.055 1898.86,347.661 1900.87,353.372 1902.88,359.162 1904.89,365.006 1906.9,370.878 1908.91,376.751 1910.91,382.598 \n",
       "  1912.92,388.392 1914.93,394.105 1916.94,399.71 1918.95,405.178 1920.96,410.482 1922.97,415.595 1924.98,420.49 1926.98,425.139 1928.99,429.518 1931,433.6 \n",
       "  1933.01,437.362 1935.02,440.779 1937.03,443.831 1939.04,446.495 1941.04,448.751 1943.05,450.583 1945.06,451.972 1947.07,452.904 1949.08,453.366 1951.09,453.346 \n",
       "  1953.1,452.835 1955.1,451.826 1957.11,450.314 1959.12,448.295 1961.13,445.769 1963.14,442.738 1965.15,439.206 1967.16,435.18 1969.17,430.667 1971.17,425.68 \n",
       "  1973.18,420.232 1975.19,414.339 1977.2,408.02 1979.21,401.296 1981.22,394.189 1983.23,386.725 1985.23,378.932 1987.24,370.838 1989.25,362.475 1991.26,353.876 \n",
       "  1993.27,345.076 1995.28,336.111 1997.29,327.019 1999.29,317.838 2001.3,308.609 2003.31,299.372 2005.32,290.168 2007.33,281.04 2009.34,272.028 2011.35,263.175 \n",
       "  2013.36,254.522 2015.36,246.11 2017.37,237.98 2019.38,230.172 2021.39,222.722 2023.4,215.669 2025.41,209.047 2027.42,202.89 2029.42,197.228 2031.43,192.091 \n",
       "  2033.44,187.505 2035.45,183.493 2037.46,180.076 2039.47,177.272 2041.48,175.094 2043.49,173.555 2045.49,172.661 2047.5,172.415 2049.51,172.819 2051.52,173.868 \n",
       "  2053.53,175.554 2055.54,177.867 2057.55,180.79 2059.55,184.305 2061.56,188.389 2063.57,193.014 2065.58,198.152 2067.59,203.767 2069.6,209.822 2071.61,216.278 \n",
       "  2073.61,223.091 2075.62,230.214 2077.63,237.599 2079.64,245.196 2081.65,252.95 2083.66,260.808 2085.67,268.714 2087.68,276.61 2089.68,284.439 2091.69,292.143 \n",
       "  2093.7,299.664 2095.71,306.945 2097.72,313.929 2099.73,320.561 2101.74,326.788 2103.74,332.557 2105.75,337.82 2107.76,342.53 2109.77,346.644 2111.78,350.122 \n",
       "  2113.79,352.928 2115.8,355.031 2117.8,356.403 2119.81,357.022 2121.82,356.87 2123.83,355.934 2125.84,354.209 2127.85,351.691 2129.86,348.385 2131.87,344.3 \n",
       "  2133.87,339.452 2135.88,333.862 2137.89,327.556 2139.9,320.566 2141.91,312.93 2143.92,304.69 2145.93,295.894 2147.93,286.593 2149.94,276.845 2151.95,266.71 \n",
       "  2153.96,256.251 2155.97,245.537 2157.98,234.637 2159.99,223.623 2162,212.57 2164,201.552 2166.01,190.645 2168.02,179.925 2170.03,169.466 2172.04,159.343 \n",
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