std::vector c = {0.806,0.517,0.1,0.908,0.965,0.669,0.524,0.902,0.351,0.876,0.462, 0.491,0.463,0.741,0.352,0.869,0.813,0.811,0.0828,0.964,0.789,0.360,0.369, 0.992,0.332,0.817,0.632,0.883,0.608,0.326}; double a[][10] = { {9.681,0.667,4.783,9.095,3.517,9.325,6.544,0.211,5.122,2.02}, {9.4,2.041,3.788,7.931,2.882,2.672,3.568,1.284,7.033,7.374}, {8.025,9.152,5.114,7.621,4.564,4.711,2.996,6.126,0.734,4.982}, {2.196,0.415,5.649,6.979,9.510,9.166,6.304,6.054,9.377,1.426}, {8.074,8.777,3.467,1.863,6.708,6.349,4.534,0.276,7.633,1.567}, {7.650,5.658,0.720,2.764,3.278,5.283,7.474,6.274,1.409,8.208}, {1.256,3.605,8.623,6.905,4.584,8.133,6.071,6.888,4.187,5.448}, {8.314,2.261,4.24,1.781,4.124,0.932,8.129,8.658,1.208,5.762}, {0.226,8.858,1.42,0.954,1.622,4.698,6.228,9.096,0.972,7.637}, {7.305,2.228,1.242,5.928,9.133,1.826,4.06,5.204,8.713,8.247}, {0.652,7.027,0.508,4.876,8.807,4.632,5.808,6.937,3.291,7.016}, {2.699,3.516,5.847,4.119,4.461,7.496,8.817,0.69,6.593,9.789}, {8.327,3.897,2.017,9.57,9.825,1.15,1.395,3.885,6.354,0.109}, {2.132,7.006,7.136,2.641,1.882,5.943,7.273,7.691,2.88,0.564}, {4.707,5.579,4.08,0.581,9.698,8.542,8.077,8.515,9.231,4.67}, {8.304,7.559,8.567,0.322,7.128,8.392,1.472,8.524,2.277,7.826}, {8.632,4.409,4.832,5.768,7.05,6.715,1.711,4.323,4.405,4.591}, {4.887,9.112,0.17,8.967,9.693,9.867,7.508,7.77,8.382,6.74}, {2.44,6.686,4.299,1.007,7.008,1.427,9.398,8.48,9.95,1.675}, {6.306,8.583,6.084,1.138,4.350,3.134,7.853,6.061,7.457,2.258}, {0.652,2.343,1.37,0.821,1.31,1.063,0.689,8.819,8.833,9.07}, {5.558,1.272,5.756,9.857,2.279,2.764,1.284,1.677,1.244,1.234}, {3.352,7.549,9.817,9.437,8.687,4.167,2.57,6.54,0.228,0.027}, {8.798,0.88,2.37,0.168,1.701,3.68,1.231,2.39,2.499,0.064}, {1.46,8.057,1.337,7.217,7.914,3.615,9.981,9.198,5.292,1.224}, {0.432,8.645,8.774,0.249,8.081,7.461,4.416,0.652,4.002,4.644}, {0.679,2.8,5.523,3.049,2.968,7.225,6.73,4.199,9.614,9.229}, {4.263,1.074,7.286,5.599,8.291,5.2,9.214,8.272,4.398,4.506}, {9.496,4.83,3.15,8.27,5.079,1.231,5.731,9.494,1.883,9.732}, {4.138,2.562,2.532,9.661,5.611,5.5,6.886,2.341,9.699,6.5} }; double schwefel(std::vector input){ int upper_bound = 512; int lower_bound = -512; double sum = 0; for (int i = 0; i < input.size(); i++){ sum += (-input[i]) * std::sin(std::sqrt(std::abs(input[i]))); } return sum; } double first_de_jong(std::vector input){ int upper_bound = 100; int lower_bound = -100; double sum = 0; for (int i = 0; i < input.size(); i++){ sum += std::pow(input[i], 2); } return sum; } double rosenbrock(std::vector input){ int upper_bound = 100; int lower_bound = -100; double sum = 0; for (int i = 0; i < input.size() - 1; i++){ sum += 100 * std::pow((std::pow(input[i], 2) - input[i + 1]), 2) + std::pow((1 - input[i]), 2); } return sum; } double rastrigin(std::vector input){ int upper_bound = 30; int lower_bound = -30; double sum = 0; for (int i = 0; i < input.size(); i++){ sum += std::pow(input[i], 2) - 10 * std::cos(2 * M_PI * input[i]); } sum *= 2 * input.size(); return sum; } double griewangk(std::vector input){ int upper_bound = 500; int lower_bound = -500; double sum = 0; for (int i = 0; i < input.size(); i++){ sum += std::pow(input[i], 2) / 4000; } double product = 1; for (int i = 0; i < input.size(); i++){ product *= std::cos(input[i] / sqrt(i + 1)); } return 1 + sum - product; } double sine_envelope_sine_wave(std::vector input){ int upper_bound = 30; int lower_bound = -30; double sum = 0; for (int i = 0; i < input.size() - 1; i++){ sum += 0.5 + (std::pow(std::sin(std::pow(input[i], 2) + std::pow(input[i + 1], 2) - 0.5), 2)) / (1 + 0.001 * (std::pow(input[i], 2) + std::pow(input[i + 1], 2))); } return sum; } double stretched_v_sine_wave(std::vector input){ int upper_bound = 30; int lower_bound = -30; double sum = 0; for (int i = 0; i < input.size() - 1; i++){ sum += std::pow(std::pow(input[i], 2) + std::pow(input[i + 1], 2), 1.0 / 4) * std::pow(std::sin(50 * std::pow(std::pow(input[i], 2) + std::pow(input[i + 1], 2), 1.0 / 10)), 2) + 1; } return sum; } double ackleys_one(std::vector input){ int upper_bound = 32; int lower_bound = -32; double sum = 0; for (int i = 0; i < input.size() - 1; i++){ sum += (1.0 / pow(M_E, 0.2)) * std::sqrt(std::pow(input[i], 2) + std::pow(input[i + 1], 2)) + 3 * std::cos(2 * input[i]) + std::sin(2 * input[i + 1]); } return sum; } double ackleys_two(std::vector input){ int upper_bound = 32; int lower_bound = -32; double sum = 0; for (int i = 0; i < input.size() - 1; i++){ sum += 20 + M_E - (20 / (std::pow(M_E, 0.2) * std::sqrt(((std::pow(input[i], 2) + std::pow(input[i+1], 2) + 1) / 2)))) - std::pow(M_E, 0.5 * std::cos(2 * M_PI * input[i]) + cos(2 * M_PI * input[i + 1])); } return sum; } double egg_holder(std::vector input){ int upper_bound = 500; int lower_bound = -500; double sum = 0; for (int i = 0; i < input.size() - 1; i++) { sum += -input[i] * std::sin(std::sqrt(abs(input[i] - input[i + 1] - 47))) - (input[i + 1] + 47) * std::sin(std::sqrt(std::abs(input[i + 1] + 47 + input[i] / 2))); } return sum; } double rana(std::vector input){ int upper_bound = 500; int lower_bound = -500; double sum = 0; for (int i = 0; i < input.size() - 1; i++) { sum += input[i] * std::sin(std::sqrt(std::abs(input[i + 1] - input[i] + 1))) * std::cos(std::sqrt(std::abs(input[i + 1] + input[i] + 1))) + (input[i + 1] + 1) * std::cos(std::sqrt(std::abs(input[i + 1] - input[i] + 1))) * std::sin(std::sqrt(std::abs(input[i + 1] + input[i] + 1))); } return sum; } double pathological(std::vector input){ int upper_bound = 100; int lower_bound = -100; double sum = 0; for (int i = 0; i < input.size() - 1; i++) { sum += 0.5 + (std::pow(std::sin(std::sqrt(100 * std::pow(input[i], 2) + std::pow(input[i + 1], 2))), 2) - 0.5) / (1 + 0.001 * std::pow(std::pow(input[i], 2) - 2 * input[i] * input[i + 1] + std::pow(input[i + 1], 2), 2)); } return sum; } double michalewicz(std::vector input){ int upper_bound = M_PI; int lower_bound = 0; double sum = 0; for (int i = 0; i < input.size() - 1; i++) { sum += std::sin(input[i]) * std::pow(std::sin(i * std::pow(input[i], 2) / M_PI), 20); } return -sum; } double masters_cosine_wave(std::vector input){ int upper_bound = 30; int lower_bound = -30; double sum = 0; for (int i = 0; i < input.size() - 1; i++) { sum += std::pow(M_E, -(1/8) * (std::pow(input[i], 2) + std::pow(input[i + 1], 2) + 0.5 * input[i + 1] * input[i])) * std::cos(4 * std::sqrt(std::pow(input[i], 2) + std::pow(input[i + 1], 2) + 0.5 * input[i] * input[i + 1])); } return -sum; } double shekels_foxholes(std::vector input){ int upper_bound = 10; int lower_bound = 0; double sum = 0; for (int i = 0; i < c.size() - 1; i++) { double bottom_sum = 0; for (int q = 0; q < input.size(); q++){ bottom_sum = std::pow(input.at(q) - a[i][q], 2); } sum += 1 / (bottom_sum + c[i]); } return -sum; } double set_within(double val, double prior_upper, double prior_lower, double after_upper, double after_lower){ return ((after_upper - after_lower) * (val - prior_lower) / (prior_upper - prior_lower)) + after_lower; } struct function { double (*function_pointer)(std::vector); double range = 0; double upper_bound = 0; double lower_bound = 0; timer t; function(){}; function(double (*func)(std::vector), double upper_bound, double lower_bound) { function_pointer = func; this->upper_bound = upper_bound; this->lower_bound = lower_bound; } double compute(std::vector input) { for (auto v: input) { if (v <= lower_bound && v >= upper_bound) { std::cout << "Function exceeded bounds"; return 0; } } double res = function_pointer(input); return res; }; // enum Test_Data { // MEAN, MEDIAN, DEVIATION, AVG_TIME, DIMENSIONALIY, UPPER_RANGE, LOWER_RANGE // }; // // std::vector random_walk(int dimensionality, int permutations){ // // MTRand rng(); // // std::vector times; // std::vector vals; // // double best_value = 99999999999; // // t.start(); // // for (int i = 0; i < permutations; i++) { // // std::vector dimension_vals; // // for (int i = 0; i < dimensionality; i++) { // dimension_vals.push_back(fmod(rand(), (upper_bound * 2)) + lower_bound); // } // // // double res = compute(dimension_vals); // if (res < best_value){ // best_value = res; // } // } // // vals.push_back(best_value); // // t.end(); // // times.push_back(t.duration()); // // // Mean // double mean = 0; // for (double v: vals) { // mean += v; // } // mean /= vals.size(); // // // Median // double median = vals[std::floor(vals.size() / 2)]; // // // Standard Deviation // double sum = 0; // for (double v: vals) { // sum += std::pow(v - mean, 2); // } // double deviation = std::sqrt(sum / vals.size()); // // // Time Mean // double time_mean = 0; // for (double v: times) { // time_mean += v; // } // time_mean /= times.size(); // // // Range // std::sort(vals.begin(), vals.end()); // // double lower_range = vals.front(); // double upper_range = vals.back(); // // std::map ret; // // ret[Test_Data::DIMENSIONALIY] = dimensionality; // ret[Test_Data::AVG_TIME] = time_mean; // ret[Test_Data::DEVIATION] = deviation; // ret[Test_Data::MEAN] = mean; // ret[Test_Data::MEDIAN] = median; // ret[Test_Data::UPPER_RANGE] = upper_range; // ret[Test_Data::LOWER_RANGE] = lower_range; // // // std::cout << " & " << dimensionality << " & " << mean << " & " << median << " & " << deviation << " & " // // << time_mean << " \\\\ \\hline" << std::endl; // // return ret; // }; };