#include "graph.h" #include "matrix.h" #include #include #include #include #include void benchmark_gemm() { const uint64_t vertex_count1 = 1024; uint64_t (*matrix1)[vertex_count1] = malloc(vertex_count1 * vertex_count1 * sizeof(uint64_t)); const uint64_t vertex_count2 = 1024; uint64_t (*matrix2)[vertex_count2] = malloc(vertex_count2 * vertex_count2 * sizeof(uint64_t)); uint64_t (*new_matrix)[vertex_count2] = malloc(vertex_count1 * vertex_count2 * sizeof(uint64_t)); double elapsed_time = 0.0; const uint64_t iterations = 10; clock_t start_time; for (uint64_t i = 0; i < iterations; i++) { random_adjacency(vertex_count1, matrix1); random_adjacency(vertex_count2, matrix2); start_time = clock(); gemm_basic(vertex_count1, vertex_count1, matrix1, vertex_count2, vertex_count2, matrix2, new_matrix); elapsed_time += (double)(clock() - start_time) / CLOCKS_PER_SEC; } printf("%lu iterations of gemm_basic took roughly %f seconds\n", iterations, elapsed_time); printf("An iteration of gemm_basic took on average roughly %f seconds\n", elapsed_time/iterations); free(matrix1); free(matrix2); free(new_matrix); } void benchmark_find_components() { const uint64_t vertex_count = 100; uint64_t adjacency_matrix[vertex_count][vertex_count]; uint64_t components[vertex_count][vertex_count]; uint64_t path_matrix[vertex_count][vertex_count]; double elapsed_time = 0.0; const uint64_t iterations = 100; clock_t start_time; for (uint64_t i = 0; i < iterations; i++) { random_adjacency(vertex_count, adjacency_matrix); start_time = clock(); calculate_path_matrix(vertex_count, adjacency_matrix, path_matrix); find_components_basic(vertex_count, path_matrix, components); elapsed_time += (double)(clock() - start_time) / CLOCKS_PER_SEC; } printf("%lu iterations of find_components_basic took roughly %f seconds\n", iterations, elapsed_time); printf("An iteration of find_components_basic took on average roughly %f seconds\n", elapsed_time/iterations); elapsed_time = 0.0; for (uint64_t i = 0; i < iterations; i++) { random_adjacency(vertex_count, adjacency_matrix); start_time = clock(); find_components_dfs(vertex_count, adjacency_matrix, components); elapsed_time += (double)(clock() - start_time) / CLOCKS_PER_SEC; } printf("%lu iterations of find_components_dfs took roughly %f seconds\n", iterations, elapsed_time); printf("An iteration of find_components_dfs took on average roughly %f seconds\n", elapsed_time/iterations); } void test_with_basic() { const uint64_t vertex_count = 24; uint64_t adjacency_matrix[vertex_count][vertex_count]; uint64_t distance_matrix[vertex_count][vertex_count]; uint64_t path_matrix[vertex_count][vertex_count]; uint64_t eccentricities[vertex_count]; uint64_t radius, diameter, centre[vertex_count]; uint64_t components[vertex_count][vertex_count]; uint64_t bridges[vertex_count][2]; uint64_t articulations[vertex_count]; if (read_csv("csv/24n.csv", vertex_count, vertex_count, adjacency_matrix) == 1) { return; } calculate_distance_matrix(vertex_count, adjacency_matrix, distance_matrix); get_eccentricities(vertex_count, distance_matrix, eccentricities); radius = get_radius(vertex_count, eccentricities); diameter = get_diameter(vertex_count, eccentricities); get_centre(vertex_count, eccentricities, radius, centre); calculate_path_matrix(vertex_count, adjacency_matrix, path_matrix); find_components_basic(vertex_count, path_matrix, components); find_bridges_basic(vertex_count, adjacency_matrix, components, bridges); find_articulations_basic(vertex_count, adjacency_matrix, components, articulations); puts("adjacency_matrix:"); print_matrix(vertex_count, vertex_count, adjacency_matrix); puts("\ndistance_matrix:"); print_matrix(vertex_count, vertex_count, distance_matrix); puts("\neccentricities:"); for (uint64_t index = 0; index < vertex_count; index++) { printf("\tVertex %lu: %lu\n", index + 1, eccentricities[index]); } printf("\nradius: %lu", radius); printf("\ndiameter: %lu", diameter); puts("\ncentre:"); for (uint64_t index = 0; index < vertex_count; index++) { if (centre[index] == 1) { printf("\tVertex %lu\n", index + 1); } } puts("\npath_matrix:"); print_matrix(vertex_count, vertex_count, path_matrix); puts("\ncomponents:"); for (uint64_t row_index = 0; row_index < vertex_count; row_index++) { int empty = 1; for (uint64_t column_index = 0; column_index < vertex_count; column_index++) { if (components[row_index][column_index] != 0) { empty = 0; } } if (empty) { continue; } printf("\tComponent %lu: {", row_index + 1); for (uint64_t column_index = 0; column_index < vertex_count; column_index++) { if (components[row_index][column_index] != 0) { printf("%lu, ", components[row_index][column_index]); } } puts("}"); } puts("\nbridges:"); for (uint64_t index = 0; index < vertex_count; index++) { if (bridges[index][0] != 0) { printf("\tBridge %lu: {%lu, %lu}\n", index + 1, bridges[index][0], bridges[index][1]); } } puts("\narticulations:"); for (uint64_t index = 0; index < vertex_count; index++) { if (articulations[index] != 0) { printf("\tVertex %lu\n", articulations[index]); } } } void test_with_dfs() { const uint64_t vertex_count = 24; uint64_t adjacency_matrix[vertex_count][vertex_count]; uint64_t distance_matrix[vertex_count][vertex_count]; uint64_t eccentricities[vertex_count]; uint64_t radius, diameter; uint64_t centre[vertex_count]; uint64_t components[vertex_count][vertex_count]; uint64_t bridges[vertex_count][2]; uint64_t articulations[vertex_count]; if (read_csv("csv/24n.csv", vertex_count, vertex_count, adjacency_matrix) == 1) { return; } /* const uint64_t vertex_count = 1500; uint64_t (*adjacency_matrix)[vertex_count] = malloc(vertex_count * vertex_count * sizeof(uint64_t)); uint64_t (*distance_matrix)[vertex_count] = malloc(vertex_count * vertex_count * sizeof(uint64_t)); uint64_t *eccentricities = malloc(vertex_count * sizeof(uint64_t)); uint64_t radius, diameter; uint64_t *centre = malloc(vertex_count * sizeof(uint64_t)); uint64_t (*components)[vertex_count] = malloc(vertex_count * vertex_count * sizeof(uint64_t)); uint64_t (*bridges)[vertex_count] = malloc(vertex_count * 2 * sizeof(uint64_t)); uint64_t *articulations = malloc(vertex_count * sizeof(uint64_t)); random_adjacency(vertex_count, adjacency_matrix); */ calculate_distance_matrix(vertex_count, adjacency_matrix, distance_matrix); get_eccentricities(vertex_count, distance_matrix, eccentricities); radius = get_radius(vertex_count, eccentricities); diameter = get_diameter(vertex_count, eccentricities); get_centre(vertex_count, eccentricities, radius, centre); find_components_dfs(vertex_count, adjacency_matrix, components); find_bridges_dfs_v2(vertex_count, adjacency_matrix, components, bridges); find_articulations_dfs_v2(vertex_count, adjacency_matrix, components, articulations); puts("\nadjacency_matrix:"); print_matrix(vertex_count, vertex_count, adjacency_matrix); puts("\ndistance_matrix:"); print_matrix(vertex_count, vertex_count, distance_matrix); puts("\neccentricities:"); for (uint64_t index = 0; index < vertex_count; index++) { printf("\tVertex %lu: %lu\n", index + 1, eccentricities[index]); } printf("\nradius: %lu", radius); printf("\ndiameter: %lu", diameter); puts("\ncentre:"); for (uint64_t index = 0; index < vertex_count; index++) { if (centre[index] == 1) { printf("\tVertex %lu\n", index + 1); } } puts("\ncomponents:"); for (uint64_t row_index = 0; row_index < vertex_count; row_index++) { int empty = 1; for (uint64_t column_index = 0; column_index < vertex_count; column_index++) { if (components[row_index][column_index] != 0) { empty = 0; } } if (empty) { continue; } printf("\tComponent %lu: {", row_index + 1); for (uint64_t column_index = 0; column_index < vertex_count; column_index++) { if (components[row_index][column_index] != 0) { printf("%lu, ", column_index + 1); } } puts("}"); } uint64_t bridge_number = 1; puts("\nbridges:"); for (uint64_t index = 0; index < vertex_count; index++) { if (bridges[index][0] != 0) { printf("\tBridge %lu: {%lu, %lu}\n", bridge_number, bridges[index][0], bridges[index][1]); bridge_number++; } } puts("\narticulations:"); for (uint64_t index = 0; index < vertex_count; index++) { if (articulations[index] != 0) { printf("\tVertex %lu\n", articulations[index]); } } // free(adjacency_matrix); // free(distance_matrix); // free(eccentricities); // free(centre); // free(components); // free(bridges); // free(articulations); } int main(void) { // test_with_basic(); test_with_dfs(); // benchmark_gemm(); // benchmark_find_components(); }