cmdla/10-12/lesson.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cb977d1b-5910-4d86-bf69-a0e171cb2fd5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\frac{9 x^{9}}{64} - \\frac{117 x^{8}}{74} + \\frac{576 x^{7}}{91} - \\frac{847 x^{6}}{93} - \\frac{23 x^{5}}{6} + \\frac{465 x^{4}}{23} - \\frac{216 x^{3}}{25} - \\frac{19 x^{2}}{2} + \\frac{91 x}{15}$"
      ],
      "text/plain": [
       "   9        8        7        6       5        4        3       2       \n",
       "9⋅x    117⋅x    576⋅x    847⋅x    23⋅x    465⋅x    216⋅x    19⋅x    91⋅x\n",
       "──── - ────── + ────── - ────── - ───── + ────── - ────── - ───── + ────\n",
       " 64      74       91       93       6       23       25       2      15 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\frac{81 x^{8}}{64} - \\frac{468 x^{7}}{37} + \\frac{576 x^{6}}{13} - \\frac{1694 x^{5}}{31} - \\frac{115 x^{4}}{6} + \\frac{1860 x^{3}}{23} - \\frac{648 x^{2}}{25} - 19 x + \\frac{91}{15}$"
      ],
      "text/plain": [
       "    8        7        6         5        4         3        2            \n",
       "81⋅x    468⋅x    576⋅x    1694⋅x    115⋅x    1860⋅x    648⋅x           91\n",
       "───── - ────── + ────── - ─────── - ────── + ─────── - ────── - 19⋅x + ──\n",
       "  64      37       13        31       6         23       25            15"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using SymPy\n",
    "x = Sym(\"x\")\n",
    "f(x) = 91 * x^2/30 - 19 * x^3 / 6 - 54 * x^4 / 25 + 93 * x^5 / 23 - 23 * x^6 / 36 - 121 * x^7 / 93 + 72 * x^8 / 91 - 13 * x^9 / 74 + 9 * x^10 / 640\n",
    "\n",
    "Dx = Differential(x)\n",
    "\n",
    "Dx(f(x)) |> display\n",
    "Dx(Dx(f(x))) |> display\n",
    "\n",
    "f(0) |> display"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "23020315-a21b-40e9-b438-c2ea4c6906fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "using LaTeXStrings\n",
    "\n",
    "include(\"oneDTestFunctions.jl\")\n",
    "\n",
    "x = range(-1, 3, length=1000)\n",
    "y1 = map(v -> v[1], oneDTestFunctions()[1].(x))\n",
    "y2 = map(v -> v[2], oneDTestFunctions()[1].(x))\n",
    "y3 = map(v -> v[3], oneDTestFunctions()[1].(x))\n",
    "plot(x, y1, ylims=(-3,3), label=L\"$f(x)$\")\n",
    "plot!(x, y2, label=L\"$\\frac{d}{dx}f(x)$\")\n",
    "plot!(x, y3, label=L\"$\\frac{d^2}{dx^2}f(x)$\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3926fcb9-62b8-45d3-ae64-8c626ac04901",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Golden ratio search\n",
      "feval\trel gap\t\tx_-\t\tx_+\n",
      "   2\t4.3255e-01\t-5.00000000e-01\t3.00000000e+00\n",
      "   3\t4.3255e-01\t-5.00000000e-01\t1.66311896e+00\n",
      "   4\t2.0218e-01\t-5.00000000e-01\t8.36881039e-01\n",
      "   5\t3.3976e-04\t-5.00000000e-01\t3.26237921e-01\n",
      "   6\t3.3976e-04\t-1.84405197e-01\t3.26237921e-01\n",
      "   7\t3.3976e-04\t-1.84405197e-01\t1.31189606e-01\n",
      "   8\t3.3976e-04\t-6.38587088e-02\t1.31189606e-01\n",
      "   9\t3.3976e-04\t-6.38587088e-02\t5.66877794e-02\n",
      "  10\t3.3976e-04\t-1.78140475e-02\t5.66877794e-02\n",
      "  11\t3.3976e-04\t-1.78140475e-02\t2.82306137e-02\n",
      "  12\t1.5573e-07\t-1.78140475e-02\t1.06431181e-02\n",
      "  13\t1.5573e-07\t-6.94437747e-03\t1.06431181e-02\n",
      "  14\t1.5573e-07\t-6.94437747e-03\t3.92529259e-03\n",
      "  15\t1.5573e-07\t-2.79253295e-03\t3.92529259e-03\n",
      "  16\t1.5573e-07\t-2.79253295e-03\t1.35931156e-03\n",
      "  17\t1.5573e-07\t-1.20666946e-03\t1.35931156e-03\n",
      "  18\t1.5573e-07\t-1.20666946e-03\t3.79194024e-04\n",
      "  19\t1.5573e-07\t-6.00923513e-04\t3.79194024e-04\n",
      "  20\t7.0543e-11\t-2.26551927e-04\t3.79194024e-04\n",
      "  21\t7.0543e-11\t-2.26551927e-04\t1.47819659e-04\n",
      "  22\t7.0543e-11\t-8.35547054e-05\t1.47819659e-04\n",
      "  23\t7.0543e-11\t-8.35547054e-05\t5.94425162e-05\n",
      "  24\t7.0543e-11\t-2.89346270e-05\t5.94425162e-05\n",
      "  25\t7.0543e-11\t-2.89346270e-05\t2.56854513e-05\n",
      "  26\t7.0543e-11\t-8.07161358e-06\t2.56854513e-05\n",
      "  27\t7.0543e-11\t-8.07161358e-06\t1.27913999e-05\n",
      "  28\t3.1963e-14\t-8.07161358e-06\t4.82243784e-06\n",
      "  29\t3.1963e-14\t-3.14652419e-06\t4.82243784e-06\n",
      "  30\t3.1963e-14\t-3.14652419e-06\t1.77856520e-06\n",
      "  31\t3.1963e-14\t-1.26530744e-06\t1.77856520e-06\n",
      "  32\t3.1963e-14\t-1.26530744e-06\t6.15909307e-07\n",
      "  33\t3.1963e-14\t-5.46746585e-07\t6.15909307e-07\n"
     ]
    },
    {
     "data": {
      "image/png": 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       "</svg>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-1.0265155122631873e-7, \"optimal\")"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"GRS.jl\")\n",
    "GRS(oneDTestFunctions()[1], Plotg=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "27d78090-9240-4313-8d9f-d1e7d88884a5",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dichotomic search\n",
      "feval\trel gap\t\tx_-\t\tx_+\t\tx\t\tf'(x)\n",
      "   3\t5.1784e-01\t-5.00000000e-01\t3.00000000e+00\t1.25000000e+00\t5.8857e-01\n",
      "   4\t2.4399e-01\t-5.00000000e-01\t1.25000000e+00\t3.75000000e-01\t8.3549e-01\n",
      "   5\t1.2585e-02\t-5.00000000e-01\t3.75000000e-01\t-6.25000000e-02\t-4.1386e-01\n",
      "   6\t1.2585e-02\t-6.25000000e-02\t3.75000000e-01\t1.56250000e-01\t6.9460e-01\n",
      "   7\t6.3294e-03\t-6.25000000e-02\t1.56250000e-01\t4.68750000e-02\t2.6271e-01\n",
      "   8\t1.8664e-04\t-6.25000000e-02\t4.68750000e-02\t-7.81250000e-03\t-4.7971e-02\n",
      "   9\t1.8664e-04\t-7.81250000e-03\t4.68750000e-02\t1.95312500e-02\t1.1480e-01\n",
      "  10\t1.0350e-04\t-7.81250000e-03\t1.95312500e-02\t5.85937500e-03\t3.5219e-02\n",
      "  11\t2.8958e-06\t-7.81250000e-03\t5.85937500e-03\t-9.76562500e-04\t-5.9335e-03\n",
      "  12\t2.8958e-06\t-9.76562500e-04\t5.85937500e-03\t2.44140625e-03\t1.4754e-02\n",
      "  13\t1.6260e-06\t-9.76562500e-04\t2.44140625e-03\t7.32421875e-04\t4.4383e-03\n",
      "  14\t4.5206e-08\t-9.76562500e-04\t7.32421875e-04\t-1.22070312e-04\t-7.4070e-04\n",
      "  15\t4.5206e-08\t-1.22070312e-04\t7.32421875e-04\t3.05175781e-04\t1.8505e-03\n",
      "  16\t2.5423e-08\t-1.22070312e-04\t3.05175781e-04\t9.15527344e-05\t5.5534e-04\n",
      "  17\t7.0626e-10\t-1.22070312e-04\t9.15527344e-05\t-1.52587891e-05\t-9.2572e-05\n",
      "  18\t7.0626e-10\t-1.52587891e-05\t9.15527344e-05\t3.81469727e-05\t2.3141e-04\n",
      "  19\t3.9726e-10\t-1.52587891e-05\t3.81469727e-05\t1.14440918e-05\t6.9426e-05\n",
      "  20\t1.1035e-11\t-1.52587891e-05\t1.14440918e-05\t-1.90734863e-06\t-1.1571e-05\n",
      "  21\t1.1035e-11\t-1.90734863e-06\t1.14440918e-05\t4.76837158e-06\t2.8928e-05\n",
      "  22\t6.2073e-12\t-1.90734863e-06\t4.76837158e-06\t1.43051147e-06\t8.6784e-06\n",
      "  23\t1.7243e-13\t-1.90734863e-06\t1.43051147e-06\t-2.38418579e-07\t-1.4464e-06\n",
      "  24\t1.7243e-13\t-2.38418579e-07\t1.43051147e-06\t5.96046448e-07\t3.6160e-06\n",
      "  25\t9.6989e-14\t-2.38418579e-07\t5.96046448e-07\t1.78813934e-07\t1.0848e-06\n",
      "  26\t2.6941e-15\t-2.38418579e-07\t1.78813934e-07\t-2.98023224e-08\t-1.8080e-07\n"
     ]
    },
    {
     "data": {
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-2.9802322387695312e-8, \"optimal\")"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"DIS.jl\")\n",
    "DIS(oneDTestFunctions()[1], Plotg=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c58460c5-c7bf-441c-a29c-3b43477bae62",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dichotomic search with safeguarded interpolation (0.3000)\n",
      "feval\trel gap\t\tx_-\t\tx_+\t\tx\t\tf'(x)\n",
      "   3\t4.6647e-01\t-5.00000000e-01\t3.00000000e+00\t1.13641217e+00\t3.2205e-01\n",
      "   4\t4.0396e-01\t-5.00000000e-01\t1.13641217e+00\t6.45488518e-01\t3.0611e-01\n",
      "   5\t1.8075e-01\t-5.00000000e-01\t6.45488518e-01\t3.01841963e-01\t8.8071e-01\n",
      "   6\t1.0638e-02\t-5.00000000e-01\t3.01841963e-01\t6.12893739e-02\t3.3443e-01\n",
      "   7\t1.0638e-02\t-5.00000000e-01\t6.12893739e-02\t-1.07097438e-01\t-7.4538e-01\n",
      "   8\t2.5086e-04\t-1.07097438e-01\t6.12893739e-02\t9.13789778e-03\t5.4637e-02\n",
      "   9\t2.5086e-04\t-1.07097438e-01\t9.13789778e-03\t-2.57327030e-02\t-1.6225e-01\n",
      "  10\t5.3189e-06\t-2.57327030e-02\t9.13789778e-03\t-1.32328247e-03\t-8.0445e-03\n",
      "  11\t5.3189e-06\t-1.32328247e-03\t9.13789778e-03\t1.81507161e-03\t1.0980e-02\n",
      "  12\t4.3014e-11\t-1.32328247e-03\t1.81507161e-03\t3.76571780e-06\t2.2845e-05\n",
      "  13\t4.3014e-11\t-1.32328247e-03\t3.76571780e-06\t-3.94348738e-04\t-2.3939e-03\n",
      "  14\t4.3014e-11\t-3.94348738e-04\t3.76571780e-06\t-1.15668619e-04\t-7.0185e-04\n",
      "  15\t4.3014e-11\t-1.15668619e-04\t3.76571780e-06\t-3.20645832e-05\t-1.9453e-04\n",
      "  16\t4.3014e-11\t-3.20645832e-05\t3.76571780e-06\t-6.98337251e-06\t-4.2366e-05\n",
      "  17\t5.1438e-21\t-6.98337251e-06\t3.76571780e-06\t4.11796824e-11\t2.4982e-10\n"
     ]
    },
    {
     "data": {
      "image/png": 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735.614,613.828 737.579,617.623 739.544,621.409 741.509,625.187 743.474,628.957 745.439,632.719 747.404,636.472 749.369,640.217 751.334,643.954 753.299,647.682 755.264,651.402 757.229,655.114 759.193,658.818 761.158,662.513 763.123,666.2 765.088,669.879 767.053,673.55 769.018,677.212 770.983,680.866 772.948,684.512 774.913,688.149 776.878,691.779 778.843,695.4 780.808,699.012 782.773,702.617 784.738,706.213 786.703,709.801 788.667,713.38 790.632,716.952 792.597,720.515 794.562,724.07 796.527,727.616 798.492,731.154 800.457,734.684 802.422,738.206 804.387,741.72 806.352,745.225 808.317,748.722 810.282,752.21 812.247,755.691 814.212,759.163 816.177,762.627 818.142,766.082 820.106,769.53 822.071,772.969 824.036,776.399 826.001,779.822 827.966,783.236 829.931,786.642 831.896,790.04 833.861,793.429 835.826,796.81 837.791,800.183 839.756,803.548 841.721,806.904 843.686,810.252 845.651,813.592 847.616,816.924 849.58,820.247 851.545,823.562 853.51,826.869 855.475,830.167 857.44,833.458 859.405,836.74 861.37,840.013 863.335,843.279 865.3,846.536 867.265,849.785 869.23,853.025 871.195,856.258 873.16,859.482 875.125,862.698 877.09,865.905 879.055,869.104 881.019,872.295 882.984,875.478 884.949,878.653 886.914,881.819 888.879,884.977 890.844,888.126 892.809,891.268 894.774,894.401 896.739,897.526 898.704,900.642 900.669,903.751 902.634,906.851 904.599,909.942 906.564,913.026 908.529,916.101 910.493,919.168 912.458,922.227 914.423,925.277 916.388,928.319 918.353,931.353 920.318,934.379 922.283,937.396 924.248,940.405 926.213,943.406 928.178,946.399 930.143,949.383 932.108,952.359 934.073,955.327 936.038,958.286 938.003,961.238 939.967,964.18 941.932,967.115 943.897,970.042 945.862,972.96 947.827,975.87 949.792,978.771 951.757,981.664 953.722,984.55 955.687,987.426 957.652,990.295 959.617,993.155 961.582,996.007 963.547,998.851 965.512,1001.69 967.477,1004.51 969.442,1007.33 971.406,1010.14 973.371,1012.95 975.336,1015.74 977.301,1018.53 979.266,1021.3 981.231,1024.07 983.196,1026.83 985.161,1029.59 987.126,1032.33 989.091,1035.07 991.056,1037.79 993.021,1040.51 994.986,1043.23 996.951,1045.93 998.916,1048.62 1000.88,1051.31 1002.85,1053.99 1004.81,1056.66 1006.78,1059.32 1008.74,1061.97 1010.71,1064.62 1012.67,1067.26 1014.64,1069.89 1016.6,1072.51 1018.56,1075.12 1020.53,1077.72 1022.49,1080.32 1024.46,1082.91 1026.42,1085.48 1028.39,1088.06 1030.35,1090.62 1032.32,1093.17 1034.28,1095.72 1036.25,1098.26 1038.21,1100.79 1040.18,1103.31 1042.14,1105.82 1044.11,1108.32 1046.07,1110.82 1048.04,1113.31 1050,1115.79 1051.97,1118.26 1053.93,1120.72 1055.9,1123.18 1057.86,1125.63 1059.83,1128.06 1061.79,1130.49 1063.76,1132.92 1065.72,1135.33 1067.69,1137.74 1069.65,1140.13 1071.62,1142.52 1073.58,1144.9 1075.55,1147.28 1077.51,1149.64 1079.48,1152 1081.44,1154.34 1083.41,1156.68 1085.37,1159.01 1087.34,1161.34 1089.3,1163.65 1091.27,1165.96 1093.23,1168.26 1095.2,1170.54 1097.16,1172.83 1099.13,1175.1 1101.09,1177.36 1103.06,1179.62 1105.02,1181.87 1106.99,1184.11 1108.95,1186.34 1110.92,1188.57 1112.88,1190.78 1114.85,1192.99 1116.81,1195.19 1118.78,1197.38 1120.74,1199.56 1122.71,1201.73 1124.67,1203.9 1126.64,1206.06 1128.6,1208.21 1130.57,1210.35 1132.53,1212.48 1134.5,1214.6 1136.46,1216.72 1138.43,1218.83 1140.39,1220.93 1142.36,1223.02 1144.32,1225.1 1146.29,1227.18 1148.25,1229.24 1150.22,1231.3 1152.18,1233.35 1154.15,1235.39 1156.11,1237.43 1158.08,1239.45 1160.04,1241.47 1162.01,1243.48 1163.97,1245.48 1165.94,1247.47 1167.9,1249.45 1169.86,1251.43 1171.83,1253.4 1173.79,1255.35 1175.76,1257.31 1177.72,1259.25 1179.69,1261.18 1181.65,1263.11 1183.62,1265.03 1185.58,1266.93 1187.55,1268.84 1189.51,1270.73 1191.48,1272.61 1193.44,1274.49 1195.41,1276.36 1197.37,1278.22 1199.34,1280.07 1201.3,1281.91 1203.27,1283.75 1205.23,1285.57 1207.2,1287.39 1209.16,1289.2 1211.13,1291 1213.09,1292.8 1215.06,1294.58 1217.02,1296.36 1218.99,1298.13 1220.95,1299.89 1222.92,1301.64 1224.88,1303.39 1226.85,1305.12 1228.81,1306.85 1230.78,1308.57 1232.74,1310.28 1234.71,1311.98 1236.67,1313.68 1238.64,1315.36 1240.6,1317.04 1242.57,1318.71 1244.53,1320.37 1246.5,1322.03 1248.46,1323.67 1250.43,1325.31 1252.39,1326.93 1254.36,1328.55 1256.32,1330.17 1258.29,1331.77 1260.25,1333.37 1262.22,1334.95 1264.18,1336.53 1266.15,1338.1 1268.11,1339.66 1270.08,1341.22 1272.04,1342.76 1274.01,1344.3 1275.97,1345.83 1277.94,1347.35 1279.9,1348.86 1281.87,1350.37 1283.83,1351.86 1285.8,1353.35 1287.76,1354.83 1289.73,1356.3 1291.69,1357.76 1293.66,1359.22 1295.62,1360.66 1297.59,1362.1 1299.55,1363.53 1301.52,1364.95 1303.48,1366.37 1305.45,1367.77 1307.41,1369.17 1309.38,1370.56 1311.34,1371.94 1313.31,1373.31 1315.27,1374.67 1317.24,1376.03 1319.2,1377.38 1321.16,1378.72 1323.13,1380.05 1325.09,1381.37 1327.06,1382.68 1329.02,1383.99 1330.99,1385.29 1332.95,1386.57 1334.92,1387.86 1336.88,1389.13 1338.85,1390.39 1340.81,1391.65 1342.78,1392.9 1344.74,1394.14 1346.71,1395.37 1348.67,1396.59 1350.64,1397.81 1352.6,1399.01 1354.57,1400.21 1356.53,1401.4 1358.5,1402.58 1360.46,1403.76 1362.43,1404.92 1364.39,1406.08 1366.36,1407.23 1368.32,1408.37 1370.29,1409.5 1372.25,1410.62 1374.22,1411.74 1376.18,1412.85 1378.15,1413.95 1380.11,1415.04 1382.08,1416.12 1384.04,1417.19 1386.01,1418.26 1387.97,1419.32 1389.94,1420.37 1391.9,1421.41 1393.87,1422.44 1395.83,1423.47 1397.8,1424.48 1399.76,1425.49 1401.73,1426.49 1403.69,1427.48 1405.66,1428.47 1407.62,1429.44 1409.59,1430.41 1411.55,1431.37 1413.52,1432.32 1415.48,1433.26 1417.45,1434.19 1419.41,1435.12 1421.38,1436.03 1423.34,1436.94 1425.31,1437.84 1427.27,1438.74 1429.24,1439.62 1431.2,1440.5 1433.17,1441.36 1435.13,1442.22 1437.1,1443.07 1439.06,1443.92 1441.03,1444.75 1442.99,1445.58 1444.96,1446.4 1446.92,1447.21 1448.89,1448.01 1450.85,1448.8 1452.82,1449.58 1454.78,1450.36 1456.75,1451.13 1458.71,1451.89 1460.68,1452.64 1462.64,1453.39 1464.61,1454.12 1466.57,1454.85 1468.54,1455.57 1470.5,1456.28 1472.46,1456.98 1474.43,1457.67 1476.39,1458.36 1478.36,1459.04 1480.32,1459.71 1482.29,1460.37 1484.25,1461.02 1486.22,1461.66 1488.18,1462.3 1490.15,1462.93 1492.11,1463.55 1494.08,1464.16 1496.04,1464.76 1498.01,1465.36 1499.97,1465.94 1501.94,1466.52 1503.9,1467.09 1505.87,1467.65 1507.83,1468.2 1509.8,1468.75 1511.76,1469.29 1513.73,1469.82 1515.69,1470.34 1517.66,1470.85 1519.62,1471.35 1521.59,1471.85 1523.55,1472.33 1525.52,1472.81 1527.48,1473.28 1529.45,1473.75 1531.41,1474.2 1533.38,1474.65 1535.34,1475.08 1537.31,1475.51 1539.27,1475.93 1541.24,1476.35 1543.2,1476.75 1545.17,1477.15 1547.13,1477.54 1549.1,1477.92 1551.06,1478.29 1553.03,1478.65 1554.99,1479.01 1556.96,1479.35 1558.92,1479.69 1560.89,1480.02 1562.85,1480.34 1564.82,1480.66 1566.78,1480.96 1568.75,1481.26 1570.71,1481.55 1572.68,1481.83 1574.64,1482.1 1576.61,1482.36 1578.57,1482.62 1580.54,1482.87 1582.5,1483.11 1584.47,1483.34 1586.43,1483.56 1588.4,1483.77 1590.36,1483.98 1592.33,1484.18 1594.29,1484.37 1596.26,1484.55 1598.22,1484.72 1600.19,1484.89 1602.15,1485.04 1604.12,1485.19 1606.08,1485.33 1608.05,1485.46 1610.01,1485.59 1611.98,1485.7 1613.94,1485.81 1615.91,1485.91 1617.87,1486 1619.84,1486.08 1621.8,1486.15 1623.76,1486.22 1625.73,1486.28 1627.69,1486.33 1629.66,1486.37 1631.62,1486.4 1633.59,1486.42 1635.55,1486.44 1637.52,1486.45 1639.48,1486.45 1641.45,1486.44 1643.41,1486.42 1645.38,1486.4 1647.34,1486.36 1649.31,1486.32 1651.27,1486.27 1653.24,1486.21 1655.2,1486.14 1657.17,1486.07 1659.13,1485.99 1661.1,1485.89 1663.06,1485.79 1665.03,1485.69 1666.99,1485.57 1668.96,1485.45 1670.92,1485.31 1672.89,1485.17 1674.85,1485.02 1676.82,1484.86 1678.78,1484.7 1680.75,1484.52 1682.71,1484.34 1684.68,1484.15 1686.64,1483.95 1688.61,1483.74 1690.57,1483.53 1692.54,1483.31 1694.5,1483.07 1696.47,1482.83 1698.43,1482.58 1700.4,1482.33 1702.36,1482.06 1704.33,1481.79 1706.29,1481.51 1708.26,1481.22 1710.22,1480.92 1712.19,1480.61 1714.15,1480.3 1716.12,1479.97 1718.08,1479.64 1720.05,1479.3 1722.01,1478.96 1723.98,1478.6 1725.94,1478.23 1727.91,1477.86 1729.87,1477.48 1731.84,1477.09 1733.8,1476.69 1735.77,1476.29 1737.73,1475.87 1739.7,1475.45 1741.66,1475.02 1743.63,1474.58 1745.59,1474.14 1747.56,1473.68 1749.52,1473.22 1751.49,1472.75 1753.45,1472.27 1755.42,1471.78 1757.38,1471.28 1759.35,1470.78 1761.31,1470.26 1763.28,1469.74 1765.24,1469.21 1767.21,1468.67 1769.17,1468.13 1771.14,1467.57 1773.1,1467.01 1775.06,1466.44 1777.03,1465.86 1778.99,1465.27 1780.96,1464.67 1782.92,1464.07 1784.89,1463.46 1786.85,1462.84 1788.82,1462.21 1790.78,1461.57 1792.75,1460.93 1794.71,1460.27 1796.68,1459.61 1798.64,1458.94 1800.61,1458.26 1802.57,1457.57 1804.54,1456.88 1806.5,1456.18 1808.47,1455.46 1810.43,1454.74 1812.4,1454.02 1814.36,1453.28 1816.33,1452.53 1818.29,1451.78 1820.26,1451.02 1822.22,1450.25 1824.19,1449.47 1826.15,1448.69 1828.12,1447.89 1830.08,1447.09 1832.05,1446.28 1834.01,1445.46 1835.98,1444.63 1837.94,1443.8 1839.91,1442.95 1841.87,1442.1 1843.84,1441.24 1845.8,1440.37 1847.77,1439.49 1849.73,1438.61 1851.7,1437.72 1853.66,1436.81 1855.63,1435.9 1857.59,1434.99 1859.56,1434.06 1861.52,1433.12 1863.49,1432.18 1865.45,1431.23 1867.42,1430.27 1869.38,1429.3 1871.35,1428.33 1873.31,1427.34 1875.28,1426.35 1877.24,1425.35 1879.21,1424.34 1881.17,1423.32 1883.14,1422.29 1885.1,1421.26 1887.07,1420.22 1889.03,1419.17 1891,1418.11 1892.96,1417.04 1894.93,1415.97 1896.89,1414.88 1898.86,1413.79 1900.82,1412.69 1902.79,1411.58 1904.75,1410.46 1906.72,1409.34 1908.68,1408.21 1910.65,1407.06 1912.61,1405.91 1914.58,1404.76 1916.54,1403.59 1918.51,1402.41 1920.47,1401.23 1922.44,1400.04 1924.4,1398.84 1926.36,1397.63 1928.33,1396.42 1930.29,1395.19 1932.26,1393.96 1934.22,1392.72 1936.19,1391.47 1938.15,1390.21 1940.12,1388.95 1942.08,1387.67 1944.05,1386.39 1946.01,1385.1 1947.98,1383.8 1949.94,1382.5 1951.91,1381.18 1953.87,1379.86 1955.84,1378.52 1957.8,1377.18 1959.77,1375.84 1961.73,1374.48 1963.7,1373.11 1965.66,1371.74 1967.63,1370.36 1969.59,1368.97 1971.56,1367.57 1973.52,1366.17 1975.49,1364.75 1977.45,1363.33 1979.42,1361.9 1981.38,1360.46 1983.35,1359.01 1985.31,1357.56 1987.28,1356.09 1989.24,1354.62 1991.21,1353.14 1993.17,1351.65 1995.14,1350.15 1997.1,1348.65 1999.07,1347.13 2001.03,1345.61 2003,1344.08 2004.96,1342.54 2006.93,1341 2008.89,1339.44 2010.86,1337.88 2012.82,1336.31 2014.79,1334.73 2016.75,1333.14 2018.72,1331.54 2020.68,1329.94 2022.65,1328.32 2024.61,1326.7 2026.58,1325.07 2028.54,1323.44 2030.51,1321.79 2032.47,1320.14 2034.44,1318.47 2036.4,1316.8 2038.37,1315.12 2040.33,1313.44 2042.3,1311.74 2044.26,1310.04 2046.23,1308.32 2048.19,1306.6 2050.16,1304.88 2052.12,1303.14 2054.09,1301.39 2056.05,1299.64 2058.02,1297.88 2059.98,1296.11 2061.95,1294.33 2063.91,1292.54 2065.88,1290.75 2067.84,1288.95 2069.81,1287.13 2071.77,1285.31 2073.74,1283.49 2075.7,1281.65 2077.66,1279.81 2079.63,1277.95 2081.59,1276.09 2083.56,1274.22 2085.52,1272.35 2087.49,1270.46 2089.45,1268.57 2091.42,1266.66 2093.38,1264.75 2095.35,1262.83 2097.31,1260.91 2099.28,1258.97 2101.24,1257.03 2103.21,1255.08 2105.17,1253.12 2107.14,1251.15 2109.1,1249.17 2111.07,1247.19 2113.03,1245.19 2115,1243.19 2116.96,1241.18 2118.93,1239.16 2120.89,1237.14 2122.86,1235.1 2124.82,1233.06 2126.79,1231.01 2128.75,1228.95 2130.72,1226.88 2132.68,1224.81 2134.65,1222.72 2136.61,1220.63 2138.58,1218.53 2140.54,1216.42 2142.51,1214.3 2144.47,1212.18 2146.44,1210.04 2148.4,1207.9 2150.37,1205.75 2152.33,1203.59 2154.3,1201.42 2156.26,1199.25 2158.23,1197.07 2160.19,1194.87 2162.16,1192.67 2164.12,1190.47 2166.09,1188.25 2168.05,1186.02 2170.02,1183.79 2171.98,1181.55 2173.95,1179.3 2175.91,1177.04 2177.88,1174.78 2179.84,1172.5 2181.81,1170.22 2183.77,1167.93 2185.74,1165.63 2187.7,1163.32 2189.67,1161.01 2191.63,1158.68 2193.6,1156.35 2195.56,1154.01 2197.53,1151.66 2199.49,1149.3 2201.46,1146.94 2203.42,1144.57 2205.39,1142.18 2207.35,1139.79 2209.32,1137.4 2211.28,1134.99 2213.25,1132.57 2215.21,1130.15 2217.18,1127.72 2219.14,1125.28 2221.11,1122.83 2223.07,1120.37 2225.04,1117.91 2227,1115.44 2228.96,1112.96 2230.93,1110.47 2232.89,1107.97 2234.86,1105.46 2236.82,1102.95 2238.79,1100.43 2240.75,1097.9 2242.72,1095.36 2244.68,1092.81 2246.65,1090.25 2248.61,1087.69 2250.58,1085.12 2252.54,1082.54 2254.51,1079.95 2256.47,1077.35 2258.44,1074.75 2260.4,1072.13 2262.37,1069.51 2264.33,1066.88 2266.3,1064.25 2268.26,1061.6 2270.23,1058.94 2272.19,1056.28 2274.16,1053.61 2276.12,1050.93 2278.09,1048.24 2280.05,1045.55 2282.02,1042.84 2283.98,1040.13 2285.95,1037.41 2287.91,1034.68 2289.88,1031.94 2291.84,1029.2 2293.81,1026.44 2295.77,1023.68 2297.74,1020.91 2299.7,1018.13 2301.67,1015.34 2303.63,1012.55 2305.6,1009.75 2307.56,1006.93 2309.53,1004.11 2311.49,1001.29 2313.46,998.449 2315.42,995.604 2317.39,992.751 2319.35,989.889 2321.32,987.02 2323.28,984.142 2325.25,981.256 2327.21,978.361 2329.18,975.458 2331.14,972.547 2333.11,969.628 2335.07,966.701 2337.04,963.765 2339,960.821 2340.97,957.868 2342.93,954.908 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1973.52,1366.18 1975.49,1364.77 1977.45,1363.35 1979.42,1361.92 1981.38,1360.48 1983.35,1359.03 1985.31,1357.57 1987.28,1356.11 1989.24,1354.64 1991.21,1353.16 1993.17,1351.67 1995.14,1350.17 1997.1,1348.67 1999.07,1347.15 2001.03,1345.63 2003,1344.1 2004.96,1342.56 2006.93,1341.01 2008.89,1339.46 2010.86,1337.9 2012.82,1336.32 2014.79,1334.74 2016.75,1333.16 2018.72,1331.56 2020.68,1329.96 2022.65,1328.34 2024.61,1326.72 2026.58,1325.09 2028.54,1323.45 2030.51,1321.81 2032.47,1320.15 2034.44,1318.49 2036.4,1316.82 2038.37,1315.14 2040.33,1313.45 2042.3,1311.76 2044.26,1310.05 2046.23,1308.34 2048.19,1306.62 2050.16,1304.89 2052.12,1303.16 2054.09,1301.41 2056.05,1299.66 2058.02,1297.9 2059.98,1296.13 2061.95,1294.35 2063.91,1292.56 2065.88,1290.77 2067.84,1288.96 2069.81,1287.15 2071.77,1285.33 2073.74,1283.51 2075.7,1281.67 2077.66,1279.82 2079.63,1277.97 2081.59,1276.11 2083.56,1274.24 2085.52,1272.36 2087.49,1270.48 2089.45,1268.58 2091.42,1266.68 2093.38,1264.77 2095.35,1262.85 2097.31,1260.93 2099.28,1258.99 2101.24,1257.05 2103.21,1255.09 2105.17,1253.13 2107.14,1251.17 2109.1,1249.19 2111.07,1247.2 2113.03,1245.21 2115,1243.21 2116.96,1241.2 2118.93,1239.18 2120.89,1237.16 2122.86,1235.12 2124.82,1233.08 2126.79,1231.03 2128.75,1228.97 2130.72,1226.9 2132.68,1224.82 2134.65,1222.74 2136.61,1220.65 2138.58,1218.55 2140.54,1216.44 2142.51,1214.32 2144.47,1212.2 2146.44,1210.06 2148.4,1207.92 2150.37,1205.77 2152.33,1203.61 2154.3,1201.44 2156.26,1199.27 2158.23,1197.09 2160.19,1194.89 2162.16,1192.69 2164.12,1190.49 2166.09,1188.27 2168.05,1186.04 2170.02,1183.81 2171.98,1181.57 2173.95,1179.32 2175.91,1177.06 2177.88,1174.8 2179.84,1172.52 2181.81,1170.24 2183.77,1167.95 2185.74,1165.65 2187.7,1163.34 2189.67,1161.03 2191.63,1158.7 2193.6,1156.37 2195.56,1154.03 2197.53,1151.68 2199.49,1149.32 2201.46,1146.96 2203.42,1144.58 2205.39,1142.2 2207.35,1139.81 2209.32,1137.41 2211.28,1135.01 2213.25,1132.59 2215.21,1130.17 2217.18,1127.74 2219.14,1125.3 2221.11,1122.85 2223.07,1120.39 2225.04,1117.93 2227,1115.46 2228.96,1112.98 2230.93,1110.49 2232.89,1107.99 2234.86,1105.48 2236.82,1102.97 2238.79,1100.45 2240.75,1097.92 2242.72,1095.38 2244.68,1092.83 2246.65,1090.27 2248.61,1087.71 2250.58,1085.14 2252.54,1082.56 2254.51,1079.97 2256.47,1077.37 2258.44,1074.77 2260.4,1072.15 2262.37,1069.53 2264.33,1066.9 2266.3,1064.26 2268.26,1061.62 2270.23,1058.96 2272.19,1056.3 2274.16,1053.63 2276.12,1050.95 2278.09,1048.26 2280.05,1045.57 2282.02,1042.86 2283.98,1040.15 2285.95,1037.43 2287.91,1034.7 2289.88,1031.96 2291.84,1029.22 2293.81,1026.46 2295.77,1023.7 2297.74,1020.93 2299.7,1018.15 2301.67,1015.36 2303.63,1012.57 2305.6,1009.76 2307.56,1006.95 2309.53,1004.13 2311.49,1001.3 2313.46,998.468 2315.42,995.623 2317.39,992.77 2319.35,989.909 2321.32,987.039 2323.28,984.161 2325.25,981.275 2327.21,978.38 2329.18,975.477 2331.14,972.566 2333.11,969.647 2335.07,966.72 2337.04,963.784 2339,960.84 2340.97,957.887 2342.93,954.927 2344.9,951.958 2346.86,948.981 2348.83,945.995 2350.79,943.001 2352.76,939.999 \"/>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(4.1179682402735445e-11, \"optimal\")"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DIS(oneDTestFunctions()[1]; sfgrd=0.30, Plotg=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "c7856508-6940-4e1e-b9d0-0f6ae39e47b8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Univariate Newton's Method\n",
      "feval\trel gap\t\tx\t\tf(x)\t\tf'(x)\t\tf''(x)\n",
      "   1\t2.6990e-02\t1.00000000e-01\t2.6990e-02\t5.0500e-01\t3.9859e+00\n",
      "   2\t2.2210e-03\t-2.66964885e-02\t2.2210e-03\t-1.6855e-01\t6.5539e+00\n",
      "   3\t2.9054e-06\t-9.78183164e-04\t2.9054e-06\t-5.9434e-03\t6.0852e+00\n",
      "   4\t6.7444e-12\t-1.49111486e-06\t6.7444e-12\t-9.0461e-06\t6.0667e+00\n",
      "   5\t3.6771e-23\t-3.48170895e-12\t3.6771e-23\t-2.1122e-11\t6.0667e+00\n"
     ]
    },
    {
     "data": {
      "image/png": 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864.15,583.401 865.963,586.062 867.776,588.719 869.589,591.372 871.402,594.021 873.215,596.666 875.029,599.307 876.842,601.944 878.655,604.577 880.468,607.207 882.281,609.832 884.094,612.454 885.908,615.071 887.721,617.685 889.534,620.295 891.347,622.901 893.16,625.502 894.973,628.1 896.786,630.694 898.6,633.285 900.413,635.871 902.226,638.453 904.039,641.031 905.852,643.606 907.665,646.176 909.479,648.743 911.292,651.305 913.105,653.864 914.918,656.419 916.731,658.97 918.544,661.517 920.358,664.06 922.171,666.599 923.984,669.134 925.797,671.665 927.61,674.192 929.423,676.716 931.237,679.235 933.05,681.751 934.863,684.262 936.676,686.77 938.489,689.274 940.302,691.774 942.116,694.269 943.929,696.761 945.742,699.249 947.555,701.734 949.368,704.214 951.181,706.69 952.995,709.162 954.808,711.631 956.621,714.095 958.434,716.556 960.247,719.012 962.06,721.465 963.873,723.914 965.687,726.359 967.5,728.8 969.313,731.237 971.126,733.67 972.939,736.099 974.752,738.524 976.566,740.945 978.379,743.363 980.192,745.776 982.005,748.186 983.818,750.591 985.631,752.993 987.445,755.391 989.258,757.785 991.071,760.175 992.884,762.561 994.697,764.943 996.51,767.321 998.324,769.695 1000.14,772.065 1001.95,774.432 1003.76,776.794 1005.58,779.152 1007.39,781.507 1009.2,783.858 1011.02,786.204 1012.83,788.547 1014.64,790.886 1016.46,793.221 1018.27,795.552 1020.08,797.879 1021.89,800.202 1023.71,802.521 1025.52,804.837 1027.33,807.148 1029.15,809.456 1030.96,811.759 1032.77,814.059 1034.59,816.354 1036.4,818.646 1038.21,820.934 1040.03,823.218 1041.84,825.498 1043.65,827.774 1045.47,830.046 1047.28,832.314 1049.09,834.579 1050.91,836.839 1052.72,839.095 1054.53,841.348 1056.34,843.596 1058.16,845.841 1059.97,848.082 1061.78,850.319 1063.6,852.551 1065.41,854.78 1067.22,857.005 1069.04,859.226 1070.85,861.444 1072.66,863.657 1074.48,865.866 1076.29,868.072 1078.1,870.273 1079.92,872.471 1081.73,874.664 1083.54,876.854 1085.36,879.04 1087.17,881.222 1088.98,883.399 1090.79,885.573 1092.61,887.743 1094.42,889.91 1096.23,892.072 1098.05,894.23 1099.86,896.384 1101.67,898.535 1103.49,900.681 1105.3,902.824 1107.11,904.963 1108.93,907.097 1110.74,909.228 1112.55,911.355 1114.37,913.478 1116.18,915.597 1117.99,917.712 1119.81,919.823 1121.62,921.931 1123.43,924.034 1125.24,926.133 1127.06,928.229 1128.87,930.32 1130.68,932.408 1132.5,934.492 1134.31,936.571 1136.12,938.647 1137.94,940.719 1139.75,942.787 1141.56,944.851 1143.38,946.911 1145.19,948.968 1147,951.02 1148.82,953.068 1150.63,955.113 1152.44,957.153 1154.26,959.19 1156.07,961.222 1157.88,963.251 1159.7,965.276 1161.51,967.297 1163.32,969.314 1165.13,971.327 1166.95,973.336 1168.76,975.341 1170.57,977.342 1172.39,979.34 1174.2,981.333 1176.01,983.323 1177.83,985.308 1179.64,987.29 1181.45,989.267 1183.27,991.241 1185.08,993.211 1186.89,995.177 1188.71,997.139 1190.52,999.097 1192.33,1001.05 1194.15,1003 1195.96,1004.95 1197.77,1006.89 1199.58,1008.83 1201.4,1010.76 1203.21,1012.69 1205.02,1014.62 1206.84,1016.54 1208.65,1018.46 1210.46,1020.38 1212.28,1022.29 1214.09,1024.19 1215.9,1026.1 1217.72,1028 1219.53,1029.89 1221.34,1031.78 1223.16,1033.67 1224.97,1035.55 1226.78,1037.43 1228.6,1039.31 1230.41,1041.18 1232.22,1043.05 1234.03,1044.91 1235.85,1046.77 1237.66,1048.63 1239.47,1050.48 1241.29,1052.33 1243.1,1054.17 1244.91,1056.01 1246.73,1057.85 1248.54,1059.68 1250.35,1061.51 1252.17,1063.34 1253.98,1065.16 1255.79,1066.97 1257.61,1068.79 1259.42,1070.59 1261.23,1072.4 1263.05,1074.2 1264.86,1076 1266.67,1077.79 1268.48,1079.58 1270.3,1081.37 1272.11,1083.15 1273.92,1084.92 1275.74,1086.7 1277.55,1088.47 1279.36,1090.23 1281.18,1092 1282.99,1093.75 1284.8,1095.51 1286.62,1097.26 1288.43,1099 1290.24,1100.75 1292.06,1102.48 1293.87,1104.22 1295.68,1105.95 1297.5,1107.67 1299.31,1109.4 1301.12,1111.12 1302.93,1112.83 1304.75,1114.54 1306.56,1116.25 1308.37,1117.95 1310.19,1119.65 1312,1121.35 1313.81,1123.04 1315.63,1124.72 1317.44,1126.41 1319.25,1128.09 1321.07,1129.76 1322.88,1131.43 1324.69,1133.1 1326.51,1134.76 1328.32,1136.42 1330.13,1138.08 1331.95,1139.73 1333.76,1141.38 1335.57,1143.02 1337.38,1144.66 1339.2,1146.3 1341.01,1147.93 1342.82,1149.56 1344.64,1151.18 1346.45,1152.81 1348.26,1154.42 1350.08,1156.03 1351.89,1157.64 1353.7,1159.25 1355.52,1160.85 1357.33,1162.45 1359.14,1164.04 1360.96,1165.63 1362.77,1167.21 1364.58,1168.79 1366.4,1170.37 1368.21,1171.94 1370.02,1173.51 1371.84,1175.08 1373.65,1176.64 1375.46,1178.2 1377.27,1179.75 1379.09,1181.3 1380.9,1182.85 1382.71,1184.39 1384.53,1185.93 1386.34,1187.46 1388.15,1188.99 1389.97,1190.52 1391.78,1192.04 1393.59,1193.56 1395.41,1195.07 1397.22,1196.58 1399.03,1198.09 1400.85,1199.59 1402.66,1201.09 1404.47,1202.59 1406.29,1204.08 1408.1,1205.57 1409.91,1207.05 1411.72,1208.53 1413.54,1210 1415.35,1211.47 1417.16,1212.94 1418.98,1214.4 1420.79,1215.86 1422.6,1217.32 1424.42,1218.77 1426.23,1220.22 1428.04,1221.66 1429.86,1223.1 1431.67,1224.54 1433.48,1225.97 1435.3,1227.4 1437.11,1228.82 1438.92,1230.24 1440.74,1231.66 1442.55,1233.07 1444.36,1234.48 1446.17,1235.89 1447.99,1237.29 1449.8,1238.68 1451.61,1240.08 1453.43,1241.46 1455.24,1242.85 1457.05,1244.23 1458.87,1245.61 1460.68,1246.98 1462.49,1248.35 1464.31,1249.72 1466.12,1251.08 1467.93,1252.43 1469.75,1253.79 1471.56,1255.14 1473.37,1256.48 1475.19,1257.82 1477,1259.16 1478.81,1260.5 1480.62,1261.83 1482.44,1263.15 1484.25,1264.47 1486.06,1265.79 1487.88,1267.11 1489.69,1268.42 1491.5,1269.72 1493.32,1271.03 1495.13,1272.32 1496.94,1273.62 1498.76,1274.91 1500.57,1276.2 1502.38,1277.48 1504.2,1278.76 1506.01,1280.03 1507.82,1281.3 1509.64,1282.57 1511.45,1283.83 1513.26,1285.09 1515.07,1286.35 1516.89,1287.6 1518.7,1288.85 1520.51,1290.09 1522.33,1291.33 1524.14,1292.57 1525.95,1293.8 1527.77,1295.03 1529.58,1296.25 1531.39,1297.47 1533.21,1298.69 1535.02,1299.9 1536.83,1301.11 1538.65,1302.31 1540.46,1303.51 1542.27,1304.71 1544.09,1305.9 1545.9,1307.09 1547.71,1308.27 1549.52,1309.46 1551.34,1310.63 1553.15,1311.81 1554.96,1312.97 1556.78,1314.14 1558.59,1315.3 1560.4,1316.46 1562.22,1317.61 1564.03,1318.76 1565.84,1319.91 1567.66,1321.05 1569.47,1322.19 1571.28,1323.32 1573.1,1324.45 1574.91,1325.57 1576.72,1326.7 1578.54,1327.81 1580.35,1328.93 1582.16,1330.04 1583.98,1331.14 1585.79,1332.25 1587.6,1333.35 1589.41,1334.44 1591.23,1335.53 1593.04,1336.62 1594.85,1337.7 1596.67,1338.78 1598.48,1339.85 1600.29,1340.92 1602.11,1341.99 1603.92,1343.05 1605.73,1344.11 1607.55,1345.17 1609.36,1346.22 1611.17,1347.27 1612.99,1348.31 1614.8,1349.35 1616.61,1350.39 1618.43,1351.42 1620.24,1352.44 1622.05,1353.47 1623.86,1354.49 1625.68,1355.5 1627.49,1356.52 1629.3,1357.52 1631.12,1358.53 1632.93,1359.53 1634.74,1360.52 1636.56,1361.52 1638.37,1362.51 1640.18,1363.49 1642,1364.47 1643.81,1365.45 1645.62,1366.42 1647.44,1367.39 1649.25,1368.35 1651.06,1369.31 1652.88,1370.27 1654.69,1371.22 1656.5,1372.17 1658.31,1373.12 1660.13,1374.06 1661.94,1375 1663.75,1375.93 1665.57,1376.86 1667.38,1377.79 1669.19,1378.71 1671.01,1379.63 1672.82,1380.54 1674.63,1381.45 1676.45,1382.36 1678.26,1383.26 1680.07,1384.16 1681.89,1385.05 1683.7,1385.94 1685.51,1386.83 1687.33,1387.71 1689.14,1388.59 1690.95,1389.46 1692.76,1390.33 1694.58,1391.2 1696.39,1392.06 1698.2,1392.92 1700.02,1393.78 1701.83,1394.63 1703.64,1395.47 1705.46,1396.32 1707.27,1397.16 1709.08,1397.99 1710.9,1398.82 1712.71,1399.65 1714.52,1400.47 1716.34,1401.29 1718.15,1402.11 1719.96,1402.92 1721.78,1403.73 1723.59,1404.53 1725.4,1405.33 1727.21,1406.13 1729.03,1406.92 1730.84,1407.71 1732.65,1408.49 1734.47,1409.27 1736.28,1410.05 1738.09,1410.82 1739.91,1411.59 1741.72,1412.36 1743.53,1413.12 1745.35,1413.87 1747.16,1414.63 1748.97,1415.38 1750.79,1416.12 1752.6,1416.86 1754.41,1417.6 1756.23,1418.33 1758.04,1419.06 1759.85,1419.79 1761.66,1420.51 1763.48,1421.23 1765.29,1421.94 1767.1,1422.65 1768.92,1423.36 1770.73,1424.06 1772.54,1424.76 1774.36,1425.45 1776.17,1426.14 1777.98,1426.83 1779.8,1427.51 1781.61,1428.19 1783.42,1428.86 1785.24,1429.53 1787.05,1430.2 1788.86,1430.86 1790.68,1431.52 1792.49,1432.17 1794.3,1432.82 1796.12,1433.47 1797.93,1434.11 1799.74,1434.75 1801.55,1435.39 1803.37,1436.02 1805.18,1436.65 1806.99,1437.27 1808.81,1437.89 1810.62,1438.51 1812.43,1439.12 1814.25,1439.72 1816.06,1440.33 1817.87,1440.93 1819.69,1441.52 1821.5,1442.12 1823.31,1442.7 1825.13,1443.29 1826.94,1443.87 1828.75,1444.44 1830.57,1445.02 1832.38,1445.58 1834.19,1446.15 1836,1446.71 1837.82,1447.27 1839.63,1447.82 1841.44,1448.37 1843.26,1448.91 1845.07,1449.45 1846.88,1449.99 1848.7,1450.52 1850.51,1451.05 1852.32,1451.58 1854.14,1452.1 1855.95,1452.62 1857.76,1453.13 1859.58,1453.64 1861.39,1454.15 1863.2,1454.65 1865.02,1455.14 1866.83,1455.64 1868.64,1456.13 1870.45,1456.61 1872.27,1457.1 1874.08,1457.57 1875.89,1458.05 1877.71,1458.52 1879.52,1458.98 1881.33,1459.45 1883.15,1459.91 1884.96,1460.36 1886.77,1460.81 1888.59,1461.26 1890.4,1461.7 1892.21,1462.14 1894.03,1462.57 1895.84,1463.01 1897.65,1463.43 1899.47,1463.86 1901.28,1464.27 1903.09,1464.69 1904.9,1465.1 1906.72,1465.51 1908.53,1465.91 1910.34,1466.31 1912.16,1466.71 1913.97,1467.1 1915.78,1467.49 1917.6,1467.87 1919.41,1468.25 1921.22,1468.63 1923.04,1469 1924.85,1469.37 1926.66,1469.73 1928.48,1470.09 1930.29,1470.45 1932.1,1470.8 1933.92,1471.15 1935.73,1471.49 1937.54,1471.83 1939.35,1472.17 1941.17,1472.5 1942.98,1472.83 1944.79,1473.16 1946.61,1473.48 1948.42,1473.8 1950.23,1474.11 1952.05,1474.42 1953.86,1474.72 1955.67,1475.03 1957.49,1475.32 1959.3,1475.62 1961.11,1475.91 1962.93,1476.19 1964.74,1476.47 1966.55,1476.75 1968.37,1477.03 1970.18,1477.3 1971.99,1477.56 1973.8,1477.82 1975.62,1478.08 1977.43,1478.34 1979.24,1478.59 1981.06,1478.83 1982.87,1479.08 1984.68,1479.31 1986.5,1479.55 1988.31,1479.78 1990.12,1480.01 1991.94,1480.23 1993.75,1480.45 1995.56,1480.66 1997.38,1480.87 1999.19,1481.08 2001,1481.29 2002.82,1481.48 2004.63,1481.68 2006.44,1481.87 2008.26,1482.06 2010.07,1482.24 2011.88,1482.42 2013.69,1482.6 2015.51,1482.77 2017.32,1482.94 2019.13,1483.1 2020.95,1483.26 2022.76,1483.42 2024.57,1483.57 2026.39,1483.72 2028.2,1483.86 2030.01,1484 2031.83,1484.14 2033.64,1484.27 2035.45,1484.4 2037.27,1484.53 2039.08,1484.65 2040.89,1484.76 2042.71,1484.88 2044.52,1484.99 2046.33,1485.09 2048.14,1485.19 2049.96,1485.29 2051.77,1485.38 2053.58,1485.47 2055.4,1485.56 2057.21,1485.64 2059.02,1485.72 2060.84,1485.79 2062.65,1485.86 2064.46,1485.93 2066.28,1485.99 2068.09,1486.05 2069.9,1486.1 2071.72,1486.15 2073.53,1486.2 2075.34,1486.24 2077.16,1486.28 2078.97,1486.31 2080.78,1486.34 2082.59,1486.37 2084.41,1486.39 2086.22,1486.41 2088.03,1486.43 2089.85,1486.44 2091.66,1486.44 2093.47,1486.45 2095.29,1486.45 2097.1,1486.44 2098.91,1486.43 2100.73,1486.42 2102.54,1486.4 2104.35,1486.38 2106.17,1486.36 2107.98,1486.33 2109.79,1486.3 2111.61,1486.26 2113.42,1486.22 2115.23,1486.18 2117.04,1486.13 2118.86,1486.08 2120.67,1486.02 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2236.71,1474.29 2238.53,1473.98 2240.34,1473.66 2242.15,1473.34 2243.97,1473.02 2245.78,1472.69 2247.59,1472.36 2249.41,1472.03 2251.22,1471.69 2253.03,1471.35 2254.85,1471 2256.66,1470.65 2258.47,1470.3 2260.28,1469.94 2262.1,1469.58 2263.91,1469.21 2265.72,1468.84 2267.54,1468.47 2269.35,1468.09 2271.16,1467.71 2272.98,1467.32 2274.79,1466.93 2276.6,1466.54 2278.42,1466.14 2280.23,1465.74 2282.04,1465.33 2283.86,1464.93 2285.67,1464.51 2287.48,1464.1 2289.3,1463.67 2291.11,1463.25 2292.92,1462.82 2294.73,1462.39 2296.55,1461.95 2298.36,1461.51 2300.17,1461.07 2301.99,1460.62 2303.8,1460.17 2305.61,1459.71 2307.43,1459.25 2309.24,1458.79 2311.05,1458.32 2312.87,1457.85 2314.68,1457.37 2316.49,1456.89 2318.31,1456.41 2320.12,1455.92 2321.93,1455.43 2323.75,1454.93 2325.56,1454.43 2327.37,1453.93 2329.18,1453.42 2331,1452.91 2332.81,1452.4 2334.62,1451.88 2336.44,1451.35 2338.25,1450.83 2340.06,1450.3 2341.88,1449.76 2343.69,1449.22 2345.5,1448.68 2347.32,1448.13 2349.13,1447.58 2350.94,1447.03 2352.76,1446.47 \"/>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(-3.481708945640477e-12, \"optimal\")"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "include(\"UNM.jl\")\n",
    "UNM(oneDTestFunctions()[1]; x=0.1, Plotg=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "044fd698-e21d-4b00-a141-4a9ea7a6f486",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Golden ratio search\n",
      "feval\trel gap\t\tx_-\t\tx_+\n",
      "   2\t4.3255e-01\t-5.00000000e-01\t3.00000000e+00\n",
      "   3\t4.3255e-01\t-5.00000000e-01\t1.66311896e+00\n",
      "   4\t2.0218e-01\t-5.00000000e-01\t8.36881039e-01\n",
      "   5\t3.3976e-04\t-5.00000000e-01\t3.26237921e-01\n",
      "   6\t3.3976e-04\t-1.84405197e-01\t3.26237921e-01\n",
      "   7\t3.3976e-04\t-1.84405197e-01\t1.31189606e-01\n",
      "   8\t3.3976e-04\t-6.38587088e-02\t1.31189606e-01\n",
      "   9\t3.3976e-04\t-6.38587088e-02\t5.66877794e-02\n",
      "  10\t3.3976e-04\t-1.78140475e-02\t5.66877794e-02\n",
      "  11\t3.3976e-04\t-1.78140475e-02\t2.82306137e-02\n",
      "  12\t1.5573e-07\t-1.78140475e-02\t1.06431181e-02\n",
      "  13\t1.5573e-07\t-6.94437747e-03\t1.06431181e-02\n",
      "  14\t1.5573e-07\t-6.94437747e-03\t3.92529259e-03\n",
      "  15\t1.5573e-07\t-2.79253295e-03\t3.92529259e-03\n",
      "  16\t1.5573e-07\t-2.79253295e-03\t1.35931156e-03\n",
      "  17\t1.5573e-07\t-1.20666946e-03\t1.35931156e-03\n",
      "  18\t1.5573e-07\t-1.20666946e-03\t3.79194024e-04\n",
      "  19\t1.5573e-07\t-6.00923513e-04\t3.79194024e-04\n",
      "  20\t7.0543e-11\t-2.26551927e-04\t3.79194024e-04\n",
      "  21\t7.0543e-11\t-2.26551927e-04\t1.47819659e-04\n",
      "  22\t7.0543e-11\t-8.35547054e-05\t1.47819659e-04\n",
      "  23\t7.0543e-11\t-8.35547054e-05\t5.94425162e-05\n",
      "  24\t7.0543e-11\t-2.89346270e-05\t5.94425162e-05\n",
      "  25\t7.0543e-11\t-2.89346270e-05\t2.56854513e-05\n",
      "  26\t7.0543e-11\t-8.07161358e-06\t2.56854513e-05\n",
      "  27\t7.0543e-11\t-8.07161358e-06\t1.27913999e-05\n",
      "  28\t3.1963e-14\t-8.07161358e-06\t4.82243784e-06\n",
      "  29\t3.1963e-14\t-3.14652419e-06\t4.82243784e-06\n",
      "  30\t3.1963e-14\t-3.14652419e-06\t1.77856520e-06\n",
      "  31\t3.1963e-14\t-1.26530744e-06\t1.77856520e-06\n",
      "  32\t3.1963e-14\t-1.26530744e-06\t6.15909307e-07\n",
      "  33\t3.1963e-14\t-5.46746585e-07\t6.15909307e-07\n",
      "Dichotomic search\n",
      "feval\trel gap\t\tx_-\t\tx_+\t\tx\t\tf'(x)\n",
      "   3\t5.1784e-01\t-5.00000000e-01\t3.00000000e+00\t1.25000000e+00\t5.8857e-01\n",
      "   4\t2.4399e-01\t-5.00000000e-01\t1.25000000e+00\t3.75000000e-01\t8.3549e-01\n",
      "   5\t1.2585e-02\t-5.00000000e-01\t3.75000000e-01\t-6.25000000e-02\t-4.1386e-01\n",
      "   6\t1.2585e-02\t-6.25000000e-02\t3.75000000e-01\t1.56250000e-01\t6.9460e-01\n",
      "   7\t6.3294e-03\t-6.25000000e-02\t1.56250000e-01\t4.68750000e-02\t2.6271e-01\n",
      "   8\t1.8664e-04\t-6.25000000e-02\t4.68750000e-02\t-7.81250000e-03\t-4.7971e-02\n",
      "   9\t1.8664e-04\t-7.81250000e-03\t4.68750000e-02\t1.95312500e-02\t1.1480e-01\n",
      "  10\t1.0350e-04\t-7.81250000e-03\t1.95312500e-02\t5.85937500e-03\t3.5219e-02\n",
      "  11\t2.8958e-06\t-7.81250000e-03\t5.85937500e-03\t-9.76562500e-04\t-5.9335e-03\n",
      "  12\t2.8958e-06\t-9.76562500e-04\t5.85937500e-03\t2.44140625e-03\t1.4754e-02\n",
      "  13\t1.6260e-06\t-9.76562500e-04\t2.44140625e-03\t7.32421875e-04\t4.4383e-03\n",
      "  14\t4.5206e-08\t-9.76562500e-04\t7.32421875e-04\t-1.22070312e-04\t-7.4070e-04\n",
      "  15\t4.5206e-08\t-1.22070312e-04\t7.32421875e-04\t3.05175781e-04\t1.8505e-03\n",
      "  16\t2.5423e-08\t-1.22070312e-04\t3.05175781e-04\t9.15527344e-05\t5.5534e-04\n",
      "  17\t7.0626e-10\t-1.22070312e-04\t9.15527344e-05\t-1.52587891e-05\t-9.2572e-05\n",
      "  18\t7.0626e-10\t-1.52587891e-05\t9.15527344e-05\t3.81469727e-05\t2.3141e-04\n",
      "  19\t3.9726e-10\t-1.52587891e-05\t3.81469727e-05\t1.14440918e-05\t6.9426e-05\n",
      "  20\t1.1035e-11\t-1.52587891e-05\t1.14440918e-05\t-1.90734863e-06\t-1.1571e-05\n",
      "  21\t1.1035e-11\t-1.90734863e-06\t1.14440918e-05\t4.76837158e-06\t2.8928e-05\n",
      "  22\t6.2073e-12\t-1.90734863e-06\t4.76837158e-06\t1.43051147e-06\t8.6784e-06\n",
      "  23\t1.7243e-13\t-1.90734863e-06\t1.43051147e-06\t-2.38418579e-07\t-1.4464e-06\n",
      "  24\t1.7243e-13\t-2.38418579e-07\t1.43051147e-06\t5.96046448e-07\t3.6160e-06\n",
      "  25\t9.6989e-14\t-2.38418579e-07\t5.96046448e-07\t1.78813934e-07\t1.0848e-06\n",
      "  26\t2.6941e-15\t-2.38418579e-07\t1.78813934e-07\t-2.98023224e-08\t-1.8080e-07\n",
      "Dichotomic search with safeguarded interpolation (0.5000)\n",
      "feval\trel gap\t\tx_-\t\tx_+\t\tx\t\tf'(x)\n",
      "   3\t5.1782e-01\t-5.00000000e-01\t3.00000000e+00\t1.24996500e+00\t5.8848e-01\n",
      "   4\t2.4399e-01\t-5.00000000e-01\t1.24996500e+00\t3.75000000e-01\t8.3549e-01\n",
      "   5\t1.2582e-02\t-5.00000000e-01\t3.75000000e-01\t-6.24912502e-02\t-4.1379e-01\n",
      "   6\t1.2582e-02\t-6.24912502e-02\t3.75000000e-01\t1.56250000e-01\t6.9460e-01\n",
      "   7\t6.3299e-03\t-6.24912502e-02\t1.56250000e-01\t4.68771874e-02\t2.6272e-01\n",
      "   8\t1.8633e-04\t-6.24912502e-02\t4.68771874e-02\t-7.80593770e-03\t-4.7931e-02\n",
      "   9\t1.8633e-04\t-7.80593770e-03\t4.68771874e-02\t1.95350780e-02\t1.1483e-01\n",
      "  10\t1.0368e-04\t-7.80593770e-03\t1.95350780e-02\t5.86429675e-03\t3.5248e-02\n",
      "  11\t2.8610e-06\t-7.80593770e-03\t5.86429675e-03\t-9.70683769e-04\t-5.8978e-03\n",
      "  12\t2.8610e-06\t-9.70683769e-04\t5.86429675e-03\t2.44673814e-03\t1.4787e-02\n",
      "  13\t1.6508e-06\t-9.70683769e-04\t2.44673814e-03\t7.37993013e-04\t4.4720e-03\n",
      "  14\t4.1053e-08\t-9.70683769e-04\t7.37993013e-04\t-1.16328291e-04\t-7.0585e-04\n",
      "  15\t4.1053e-08\t-1.16328291e-04\t7.37993013e-04\t3.10823818e-04\t1.8847e-03\n",
      "  16\t2.8681e-08\t-1.16328291e-04\t3.10823818e-04\t9.72434918e-05\t5.8985e-04\n",
      "  17\t2.7609e-10\t-1.16328291e-04\t9.72434918e-05\t-9.54026395e-06\t-5.7878e-05\n",
      "  18\t2.7609e-10\t-9.54026395e-06\t9.72434918e-05\t4.38505461e-05\t2.6601e-04\n",
      "  19\t2.7609e-10\t-9.54026395e-06\t4.38505461e-05\t1.71546072e-05\t1.0407e-04\n",
      "  20\t4.3960e-11\t-9.54026395e-06\t1.71546072e-05\t3.80690466e-06\t2.3095e-05\n",
      "  21\t2.4925e-11\t-9.54026395e-06\t3.80690466e-06\t-2.86654617e-06\t-1.7390e-05\n",
      "  22\t6.7038e-13\t-2.86654617e-06\t3.80690466e-06\t4.70112506e-07\t2.8520e-06\n",
      "  23\t6.7038e-13\t-2.86654617e-06\t4.70112506e-07\t-1.19818347e-06\t-7.2690e-06\n",
      "  24\t4.0195e-13\t-1.19818347e-06\t4.70112506e-07\t-3.64018798e-07\t-2.2084e-06\n",
      "  25\t8.5330e-15\t-3.64018798e-07\t4.70112506e-07\t5.30385125e-08\t3.2177e-07\n",
      "Dichotomic search with safeguarded interpolation (0.3000)\n",
      "feval\trel gap\t\tx_-\t\tx_+\t\tx\t\tf'(x)\n",
      "   3\t4.6647e-01\t-5.00000000e-01\t3.00000000e+00\t1.13641217e+00\t3.2205e-01\n",
      "   4\t4.0396e-01\t-5.00000000e-01\t1.13641217e+00\t6.45488518e-01\t3.0611e-01\n",
      "   5\t1.8075e-01\t-5.00000000e-01\t6.45488518e-01\t3.01841963e-01\t8.8071e-01\n",
      "   6\t1.0638e-02\t-5.00000000e-01\t3.01841963e-01\t6.12893739e-02\t3.3443e-01\n",
      "   7\t1.0638e-02\t-5.00000000e-01\t6.12893739e-02\t-1.07097438e-01\t-7.4538e-01\n",
      "   8\t2.5086e-04\t-1.07097438e-01\t6.12893739e-02\t9.13789778e-03\t5.4637e-02\n",
      "   9\t2.5086e-04\t-1.07097438e-01\t9.13789778e-03\t-2.57327030e-02\t-1.6225e-01\n",
      "  10\t5.3189e-06\t-2.57327030e-02\t9.13789778e-03\t-1.32328247e-03\t-8.0445e-03\n",
      "  11\t5.3189e-06\t-1.32328247e-03\t9.13789778e-03\t1.81507161e-03\t1.0980e-02\n",
      "  12\t4.3014e-11\t-1.32328247e-03\t1.81507161e-03\t3.76571780e-06\t2.2845e-05\n",
      "  13\t4.3014e-11\t-1.32328247e-03\t3.76571780e-06\t-3.94348738e-04\t-2.3939e-03\n",
      "  14\t4.3014e-11\t-3.94348738e-04\t3.76571780e-06\t-1.15668619e-04\t-7.0185e-04\n",
      "  15\t4.3014e-11\t-1.15668619e-04\t3.76571780e-06\t-3.20645832e-05\t-1.9453e-04\n",
      "  16\t4.3014e-11\t-3.20645832e-05\t3.76571780e-06\t-6.98337251e-06\t-4.2366e-05\n",
      "  17\t5.1438e-21\t-6.98337251e-06\t3.76571780e-06\t4.11796824e-11\t2.4982e-10\n",
      "Dichotomic search with safeguarded interpolation (0.0500)\n",
      "feval\trel gap\t\tx_-\t\tx_+\t\tx\t\tf'(x)\n",
      "   3\t4.6647e-01\t-5.00000000e-01\t3.00000000e+00\t1.13641217e+00\t3.2205e-01\n",
      "   4\t4.3846e-01\t-5.00000000e-01\t1.13641217e+00\t9.84326389e-01\t7.5871e-02\n",
      "   5\t4.3486e-01\t-5.00000000e-01\t9.84326389e-01\t9.10110069e-01\t3.0546e-02\n",
      "   6\t4.3266e-01\t-5.00000000e-01\t9.10110069e-01\t8.39604566e-01\t4.0287e-02\n",
      "   7\t4.2833e-01\t-5.00000000e-01\t8.39604566e-01\t7.72624338e-01\t9.6308e-02\n",
      "   8\t4.1949e-01\t-5.00000000e-01\t7.72624338e-01\t7.08993121e-01\t1.8704e-01\n",
      "   9\t4.0260e-01\t-5.00000000e-01\t7.08993121e-01\t6.41091591e-01\t3.1515e-01\n",
      "  10\t3.5812e-01\t-5.00000000e-01\t6.41091591e-01\t5.37106669e-01\t5.4285e-01\n",
      "  11\t2.5177e-01\t-5.00000000e-01\t5.37106669e-01\t3.84368359e-01\t8.2455e-01\n",
      "  12\t9.4246e-02\t-5.00000000e-01\t3.84368359e-01\t2.00583037e-01\t7.9589e-01\n",
      "  13\t9.8947e-03\t-5.00000000e-01\t2.00583037e-01\t5.90289844e-02\t3.2347e-01\n",
      "  14\t1.4196e-04\t-5.00000000e-01\t5.90289844e-02\t6.86585262e-03\t4.1202e-02\n",
      "  15\t1.4196e-04\t-5.00000000e-01\t6.86585262e-03\t-1.84774400e-02\t-1.1528e-01\n",
      "  16\t1.1298e-07\t-1.84774400e-02\t6.86585262e-03\t1.93016015e-04\t1.1706e-03\n",
      "  17\t1.1298e-07\t-1.84774400e-02\t1.93016015e-04\t-7.40506786e-04\t-4.4976e-03\n",
      "  18\t1.5154e-13\t-7.40506786e-04\t1.93016015e-04\t2.23515295e-07\t1.3560e-06\n",
      "  19\t1.5154e-13\t-7.40506786e-04\t2.23515295e-07\t-3.68129998e-05\t-2.2335e-04\n",
      "  20\t1.5154e-13\t-3.68129998e-05\t2.23515295e-07\t-1.62831046e-06\t-9.8784e-06\n",
      "  21\t9.8526e-25\t-1.62831046e-06\t2.23515295e-07\t5.69923312e-13\t3.4575e-12\n",
      "Univariate Newton's Method\n",
      "feval\trel gap\t\tx\t\tf(x)\t\tf'(x)\t\tf''(x)\n",
      "   1\t8.9644e-01\t-5.00000000e-01\t8.9644e-01\t-3.1432e+00\t2.8378e-01\n",
      "   2\t8.9644e-01\t1.05758636e+01\t5.9574e+07\t6.5971e+07\t6.5518e+07\n",
      "   3\t8.9644e-01\t9.56895366e+00\t1.8219e+07\t2.2809e+07\t2.5586e+07\n",
      "   4\t8.9644e-01\t8.67749933e+00\t5.5618e+06\t7.8820e+06\t9.9974e+06\n",
      "   5\t8.9644e-01\t7.88908699e+00\t1.6941e+06\t2.7220e+06\t3.9088e+06\n",
      "   6\t8.9644e-01\t7.19272084e+00\t5.1457e+05\t9.3922e+05\t1.5295e+06\n",
      "   7\t8.9644e-01\t6.57866301e+00\t1.5577e+05\t3.2375e+05\t5.9911e+05\n",
      "   8\t8.9644e-01\t6.03828653e+00\t4.6968e+04\t1.1145e+05\t2.3496e+05\n",
      "   9\t8.9644e-01\t5.56393556e+00\t1.4098e+04\t3.8312e+04\t9.2284e+04\n",
      "  10\t8.9644e-01\t5.14878422e+00\t4.2138e+03\t1.3146e+04\t3.6305e+04\n",
      "  11\t8.9644e-01\t4.78667921e+00\t1.2567e+03\t4.5027e+03\t1.4306e+04\n",
      "  12\t8.9644e-01\t4.47193861e+00\t3.7665e+02\t1.5400e+03\t5.6432e+03\n",
      "  13\t8.9644e-01\t4.19905074e+00\t1.1571e+02\t5.2675e+02\t2.2235e+03\n",
      "  14\t8.9644e-01\t3.96214954e+00\t3.8146e+01\t1.8107e+02\t8.6974e+02\n",
      "  15\t8.9644e-01\t3.75395648e+00\t1.4626e+01\t6.3360e+01\t3.3222e+02\n",
      "  16\t8.9644e-01\t3.56323926e+00\t7.0040e+00\t2.3292e+01\t1.1868e+02\n",
      "  17\t8.9644e-01\t3.36697475e+00\t4.0363e+00\t9.6173e+00\t3.5828e+01\n",
      "  18\t8.9644e-01\t3.09854269e+00\t2.2767e+00\t4.5568e+00\t1.0606e+01\n",
      "  19\t8.9644e-01\t2.66890891e+00\t1.1804e+00\t7.6520e-01\t6.7669e+00\n",
      "  20\t8.9644e-01\t2.55582999e+00\t1.1328e+00\t1.1808e-01\t4.5954e+00\n",
      "  21\t8.9644e-01\t2.53013577e+00\t1.1312e+00\t7.0288e-03\t4.0462e+00\n",
      "  22\t8.9644e-01\t2.52839863e+00\t1.1312e+00\t3.2604e-05\t4.0087e+00\n",
      "  23\t8.9644e-01\t2.52839050e+00\t1.1312e+00\t7.1395e-10\t4.0085e+00\n"
     ]
    },
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "include(\"oneDTestFunctions.jl\")\n",
    "include(\"GRS.jl\")\n",
    "include(\"DIS.jl\")\n",
    "include(\"UNM.jl\")\n",
    "\n",
    "plt = plot(yscale = :log,\n",
    "                   xlims=(0, 35),\n",
    "                   ylims=(1e-15, Inf),\n",
    "                   guidefontsize=16)\n",
    "\n",
    "GRS(oneDTestFunctions()[1], plt=plt, plotatend=false, Plotg=1)\n",
    "DIS(oneDTestFunctions()[1], plt=plt, plotatend=false, Plotg=1)\n",
    "DIS(oneDTestFunctions()[1]; sfgrd=0.49999, plt=plt, plotatend=false, Plotg=1)\n",
    "DIS(oneDTestFunctions()[1]; sfgrd=0.30, plt=plt, plotatend=false, Plotg=1)\n",
    "DIS(oneDTestFunctions()[1]; sfgrd=0.05, plt=plt, plotatend=false, Plotg=1)\n",
    "UNM(oneDTestFunctions()[1]; plt=plt, plotatend=false, Plotg=1)\n",
    "display(plt)"
   ]
  }
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