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OpenMP环境配置
MPI环境配置
欧拉黎曼函数的K阶近似OpenMP
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <omp.h>#include<time.h>
#include <windows.h> //window环境下调用Sleep()函数包含此头文件double zeta_approximation(int s, int k)
{double result = 0.0;#pragma omp parallel for reduction(+:result)for (int i = 1; i <= k; i++) {for (int j = 1; j <= k; j++){//result += 1.0 / (pow(n, k) * pow(k, n));result += pow(-1, i+1) / pow(i+j, s);}}return result * pow(2, s);
}int main()
{int s = 20;int k = 3000;clock_t start = 0;clock_t end = 0;double approximation = 0.0;start = clock();for (int i = 1; i <= k; i++) {for (int j = 1; j <= k; j++){//result += 1.0 / (pow(n, k) * pow(k, n));approximation += pow(-1, i + 1) / pow(i + j, s);}}approximation = approximation * pow(2, s);end = clock();printf("zeta(%d, %d) ≈ %f\n", s, k, approximation);printf("总的cpU时间 = %f\n", (end - start) / (double)CLOCKS_PER_SEC);omp_set_num_threads(4); // 设置线程数量approximation = 0.0;start = 0;end = 0;start = clock();approximation = zeta_approximation(s, k);end = clock();printf("Zetaop(%d, %d) ≈ %f\n", s, k, approximation);printf("总的CPU时间 = %f\n", (end - start) / (double)CLOCKS_PER_SEC);return 0;
}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <mpi.h>
#include <time.h>double zeta_approximation(int s, int k, int rank, int num_procs)
{double result = 0.0;int start = rank * (k / num_procs) + 1;int end = (rank + 1) * (k / num_procs);if (rank == num_procs - 1) {end = k;}for (int i = start; i <= end; i++) {for (int j = 1; j <= k; j++) {result += pow(-1, i + 1) / pow(i + j, s);}}return result;
}int main(int argc, char** argv)
{int s = 20;int k = 3000;double approximation = 0.0;double total_approximation = 0.0;int rank, num_procs;MPI_Init(&argc, &argv);MPI_Comm_rank(MPI_COMM_WORLD, &rank);MPI_Comm_size(MPI_COMM_WORLD, &num_procs);double start_time = MPI_Wtime();approximation = zeta_approximation(s, k, rank, num_procs);MPI_Reduce(&approximation, &total_approximation, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);double end_time = MPI_Wtime();if (rank == 0) {printf("Zetaop(%d, %d) ≈ %f\n", s, k, total_approximation * pow(2, s));printf("总的CPU时间 = %f\n", end_time - start_time);}MPI_Finalize();return 0;
}
欧拉黎曼函数的K阶近似MPI
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <mpi.h>double zeta_approximation(int s, int k, int rank, int num_procs)
{double result = 0.0;int start = rank * (k / num_procs) + 1;int end = (rank + 1) * (k / num_procs);if (rank == num_procs - 1) {end = k;}for (int i = start; i <= end; i++) {for (int j = 1; j <= k; j++) {result += pow(-1, i + 1) / pow(i + j, s);}}return result;
}int main(int argc, char** argv)
{int s = 20;int k = 800;double approximation = 0.0;double total_approximation = 0.0;int rank, num_procs;MPI_Init(&argc, &argv);MPI_Comm_rank(MPI_COMM_WORLD, &rank);MPI_Comm_size(MPI_COMM_WORLD, &num_procs);double start_time = MPI_Wtime();approximation = zeta_approximation(s, k, rank, num_procs);MPI_Reduce(&approximation, &total_approximation, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD);double end_time = MPI_Wtime();if (rank == 0) {printf("Zetaop(%d, %d) ≈ %f\n", s, k, total_approximation * pow(2, s));printf("总的CPU时间 = %f\n", end_time - start_time);}MPI_Finalize();return 0;
}
生命游戏（Game of life）
#include <omp.h>
#include <stdio.h>
#include <stdlib.h>#define M 10 // 行数
#define N 10 // 列数int count_alive_neighbors(int* grid, int row, int col)
{int count = 0;// 检查相邻细胞的生死状态for (int i = row - 1; i <= row + 1; i++) {for (int j = col - 1; j <= col + 1; j++) {if (i >= 0 && i < M && j >= 0 && j < N && !(i == row && j == col)) {count += grid[i * N + j];}}}return count;
}void update_grid(int* old_grid, int* new_grid)
{
#pragma omp parallel for collapse(2)for (int i = 0; i < M; i++) {for (int j = 0; j < N; j++) {int alive_neighbors = count_alive_neighbors(old_grid, i, j);if (old_grid[i * N + j]) {// 活细胞的规则if (alive_neighbors < 2 || alive_neighbors > 3) {new_grid[i * N + j] = 0; // 死亡}else {new_grid[i * N + j] = 1; // 存活}}else {// 死细胞的规则if (alive_neighbors == 3) {new_grid[i * N + j] = 1; // 繁殖为活细胞}else {new_grid[i * N + j] = 0; // 保持死亡}}}}
}void print_grid(int* grid)
{for (int i = 0; i < M; i++) {for (int j = 0; j < N; j++) {printf("%d ", grid[i * N + j]);}printf("\n");}printf("\n");
}int main()
{int* grid = (int*)malloc(M * N * sizeof(int));int* new_grid = (int*)malloc(M * N * sizeof(int));// 初始化细胞状态，随机填充0和1for (int i = 0; i < M * N; i++) {grid[i] = rand() % 2;}printf("初始状态：\n");print_grid(grid);int max_steps = 10; // 最大迭代次数for (int step = 0; step < max_steps; step++) {update_grid(grid, new_grid);printf("第 %d 回合：\n", step + 1);print_grid(new_grid);// 将新的数组代替旧数组int* temp = grid;grid = new_grid;new_grid = temp;}free(grid);free(new_grid);return 0;
}
参考资料
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