// standart imports #include #include #include #include #include // json imports #include "include/json.hpp" using json = nlohmann::json; using namespace std::chrono; // other imports #include "include/context.hpp" #include "include/utils.hpp" #include "include/random_solution.hpp" #include "include/local_2_opt_search.hpp" #include "include/local_k_opt_search.hpp" // additional functions & methods #include "include/additional.hpp" // --- config parameters --- // `cities_number`: number of points on the 2D surface. // `input_path`: path to the file with cities coordinates and the edge heat map. // `output_path`: path to the file where to write the optimal hamiltonian cycle and corresponding metrics. // `use_heat_map_as_initial_weights`: whether to use the heat map as initial for the weights matrix. // `candidates_source`: 'knn' or 'heat_map', if 'heat_map' the candidates for each city are the nearest cities to it. // `candidates_number`: number of candidate cities for each city. // `max_k_opt_depth`: maximum chain links (k parameter) in simulation. // `random_k_opt_depth_after_first_iteration`: if to randomly change the `max_k_opt_depth` after the first iteration (restart). // `min_potential_to_consider`: minimum potential of an edge to consider it in simulation (look at the formula for potential to understand fully). // `exploration_coefficient`: hyperparameter for exploration. // `weight_delta_coefficient`: hyperparameter for updating the weights matrix. // `use_sensitivity_decrease`: whether to reduce weight flow for deep edges in unsuccessful k'opt search. // `sensitivity_temperature`: hyperparameter for controlling the weight decrease in unsuccessful simulation depending on the length of a chain. // `max_k_opt_simulations_without_improve_to_stop`: the number of MCTS simulations per restart. // `restarts_number`: number of times algorithm restarts while maintaining the weights matrix (number of iterations). // `distance_type`: "int32", "int64" or "double". // `magnify_rate`: when `distance_type` is "int32" or "int64" algorithm relies only on integers to find an optimal solution (for speed), therefore each distance is magnified by `magnify_rate` value and rounded to integer. (if `distance_type` = 'double' this parameter is ignored) void read_input_data(const Config& config, Context& context) { std::ifstream input_file(config.input_path); int cities_number; input_file >> cities_number; // reading coordinates for (int i = 0; i < config.cities_number; ++i) { input_file >> context.coordinates_double_x[i] >> context.coordinates_double_y[i]; if (config.distance_type == DistanceType::Int32) { context.coordinates_int32_x[i] = static_cast(0.5 + context.coordinates_double_x[i] * config.magnify_rate); context.coordinates_int32_y[i] = static_cast(0.5 + context.coordinates_double_y[i] * config.magnify_rate); } if (config.distance_type == DistanceType::Int64) { context.coordinates_int64_x[i] = static_cast(0.5 + context.coordinates_double_x[i] * config.magnify_rate); context.coordinates_int64_y[i] = static_cast(0.5 + context.coordinates_double_y[i] * config.magnify_rate); } } // calculating distances for (int i = 0; i < config.cities_number; ++i) { for (int j = 0; j < config.cities_number; ++j) { context.distance_double[i * config.cities_number + j] = calc_distance_double(context, i, j); if (config.distance_type == DistanceType::Int32) { context.distance_int32[i * config.cities_number + j] = calc_distance_int32(context, i, j); } if (config.distance_type == DistanceType::Int64) { context.distance_int64[i * config.cities_number + j] = calc_distance_int64(context, i, j); } } } if (config.use_heat_map_as_initial_weights) { // reading heat map for (int i = 0; i < config.cities_number * config.cities_number; ++i) { input_file >> context.heat_map[i]; context.weight[i] = context.heat_map[i]; } } else { for (int i = 0; i < config.cities_number * config.cities_number; ++i) { context.weight[i] = 0.0; } } // initializing total weight for (int i = 0; i < config.cities_number; ++i) { double total_weight = 0.0; for (int j = 0; j < config.cities_number; ++j) { total_weight += smooth_relu(context.weight[i * config.cities_number + j]); } context.total_weight[i] = total_weight; } // calculating candidates if (config.candidates_source == CandidatesSource::KNN) { identify_candidates_for_each_node(config, context, context.distance_double, false); } else if (config.candidates_source == CandidatesSource::HeatMap) { identify_candidates_for_each_node(config, context, context.heat_map, true); } else { throw std::invalid_argument("Unknown candidates source."); } } void solve(const Config& config, Context& context) { // the found solution will be stored in context.solution // initialization std::chrono::time_point start_total_time = high_resolution_clock::now(), end_total_time; std::chrono::time_point start_time, end_time; int max_k_opt_depth = config.max_k_opt_depth; for (int i = 1; i < config.restarts_number + 1; ++i) { // maybe add some stopping criteria (with BHH 2D constant for example) if (i % 100 == 0) { std::cout << "# --------- Iteration: " << i << '\n'; } int improved_times = 0; // random solution start_time = high_resolution_clock::now(); generate_random_solution(config, context); convert_solution_to_path(config, context); end_time = high_resolution_clock::now(); calc_and_save_total_distance(config, context); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #1 (random cycle). Total distance: " << context.path_distance_double << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // local 2opt search start_time = high_resolution_clock::now(); improved_times = local_2_opt_search(config, context); end_time = high_resolution_clock::now(); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #2 (local 2'opt search). Total distance: " << context.path_distance_double << ", Improved times: " << improved_times << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // local k opt search start_time = high_resolution_clock::now(); improved_times = local_k_opt_search(config, context, max_k_opt_depth); end_time = high_resolution_clock::now(); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #3 (local k'opt search). Total distance: " << context.path_distance_double << ", Improved times: " << improved_times << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // changing the best path if ( (config.distance_type == DistanceType::Double && context.path_distance_double < context.best_path_distance_double) || (config.distance_type == DistanceType::Int32 && context.path_distance_int32 < context.best_path_distance_int32) || (config.distance_type == DistanceType::Int64 && context.path_distance_int64 < context.best_path_distance_int64) ) { store_path_as_best(config, context); // also updates best path distance } if (config.random_k_opt_depth_after_first_iteration) { // random MCTS depth change max_k_opt_depth = std::min(10 + (rand() % 80), config.cities_number / 2); } if (i % 100 == 0) { std::cout << '\n'; } } // final convertation (context.best_path to context.solution) restore_best_path(config, context); convert_path_to_solution(config, context); end_total_time = high_resolution_clock::now(); std::cout << "Total elapsed time: " << static_cast(duration_cast(end_total_time - start_total_time).count()) / 1000 << " sec\n\n"; } int main(int argc, char** argv) { // reading configuration std::cout << "Reading configuration...\n"; if (argc != 2) { std::cerr << "Usage: The first and only argument should be the path to the config file."; return 1; } std::ifstream config_file(argv[1]); json config_raw; config_file >> config_raw; Config config(config_raw); std::cout << "Number of cities: " << config.cities_number << "\n\n"; // initialization & memory allocation Context context(config); // reading input data std::cout << "Reading input data...\n"; read_input_data(config, context); // solving std::cout << "Solving...\n"; solve(config, context); // printing the solution std::ofstream output_file(config.output_path); std::cout << "Final solution:\n"; for (int i = 0; i < config.cities_number; ++i) { std::cout << context.solution[i] << ' '; output_file << context.solution[i] << ' '; } std::cout << "\n\nFinal solution score: " << calc_total_distance_double(config, context) << '\n'; return 0; }