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lab3 done

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yly 2026-01-20 19:05:52 +08:00
parent 34d9ab0e55
commit ff2c323564
10 changed files with 1030 additions and 1 deletions
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1
.gitignore vendored
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@ -9,3 +9,4 @@ compile_commands.json
# Temporary files
*~
.cache/
*.bak

26
lab3/nbody/lab3_nbody.sh Executable file
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#!/bin/bash
# N体问题实验脚本
echo "=========================================="
echo "N体问题串行模拟实验"
echo "=========================================="
echo ""
# 默认天体数量
N=${1:-4}
echo "运行参数："
echo " 天体数量: $N"
echo " 时间步长: 0.01 s"
echo " 总步数: 100"
echo ""
# 编译程序
xmake build nbody_ser
# 运行程序
./build/linux/x86_64/release/nbody_ser $N
echo ""
echo "=========================================="
echo "实验完成"
echo "=========================================="

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lab3/nbody/nbody_par.cpp Normal file
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#include <cmath>
#include <cstdlib>
#include <iomanip>
#include <iostream>
#include <vector>
#include <mpi.h>
#include <assert.h>
using namespace std;
// 常量定义
const double G = 6.67430e-11; // 引力常数 (m^3 kg^-1 s^-2)
const double DT = 0.01; // 时间步长
const int TMAX = 100; // 总时间步数
const double mass_scale = 1e24; // 质量缩放因子
const double dist_scale = 1e8; // 距离缩放因子
const double vel_scale = 1e3; // 速度缩放因子
// 三维向量结构体
struct Vec3 {
double x, y, z;
Vec3() : x(0), y(0), z(0) {}
Vec3(double x, double y, double z) : x(x), y(y), z(z) {}
Vec3 operator+(const Vec3 &other) const {
return Vec3(x + other.x, y + other.y, z + other.z);
}
Vec3 operator-(const Vec3 &other) const {
return Vec3(x - other.x, y - other.y, z - other.z);
}
Vec3 operator*(double scalar) const {
return Vec3(x * scalar, y * scalar, z * scalar);
}
Vec3 operator/(double scalar) const {
return Vec3(x / scalar, y / scalar, z / scalar);
}
double magnitude() const { return sqrt(x * x + y * y + z * z); }
};
// 天体结构体
struct Body {
double mass; // 质量
Vec3 position; // 位置
Vec3 velocity; // 速度
Vec3 force; // 受力
};
// 初始化天体系统
void init_bodies(vector<Body> &bodies, int n, bool verbose=false) {
// 中心天体（类似太阳）
bodies[0].mass = 1000 * mass_scale;
bodies[0].position = Vec3(0, 0, 0);
bodies[0].velocity = Vec3(0, 0, 0);
// 其他天体（类似行星）
for (int i = 1; i < n; i++) {
bodies[i].mass = (1.0 + i * 0.5) * mass_scale;
double angle = 2.0 * M_PI * i / n;
double radius = (1.0 + i * 0.5) * dist_scale;
bodies[i].position = Vec3(radius * cos(angle), radius * sin(angle), 0.0);
// 给予切向速度以形成轨道
double orbital_speed = sqrt(G * bodies[0].mass / radius);
bodies[i].velocity =
Vec3(-orbital_speed * sin(angle), orbital_speed * cos(angle), 0.0);
}
// 输出初始状态
if(verbose){
cout << fixed << setprecision(6);
cout << "\n初始状态:" << endl;
for (int i = 0; i < n; i++) {
cout << "天体 " << i << ": 质量=" << bodies[i].mass / mass_scale
<< "e24 kg, "
<< "位置=(" << bodies[i].position.x / dist_scale << ", "
<< bodies[i].position.y / dist_scale << ", "
<< bodies[i].position.z / dist_scale << ")e8 m" << endl;
}
}
}
// 计算local_particles中每个物体受到all_particles中所有物体的作用力
// 并更新local_particles中物体的速度和位置
void compute_local_forces(vector<Body>& local_particles,
const vector<Body>& all_particles,
int local_start) {
for (size_t i = 0; i < local_particles.size(); i++) {
Vec3 total_force(0, 0, 0);
int global_idx = local_start + i;
// 计算all_particles中所有物体对local_particles[i]的作用力
for (size_t j = 0; j < all_particles.size(); j++) {
// 跳过自己
if (global_idx == static_cast<int>(j)) continue;
// 计算从物体i指向物体j的向量
Vec3 r_vec = all_particles[j].position - local_particles[i].position;
double distance = r_vec.magnitude();
// 避免除以零
if (distance < 1e-10) continue;
// 计算引力大小
double force_magnitude = G * local_particles[i].mass * all_particles[j].mass
/ (distance * distance);
// 计算力的方向并累加
Vec3 force_direction = r_vec / distance;
total_force = total_force + force_direction * force_magnitude;
}
// 更新local_particles[i]的速度和位置
Vec3 v_new = local_particles[i].velocity + total_force * DT / local_particles[i].mass;
Vec3 x_new = local_particles[i].position + v_new * DT;
local_particles[i].velocity = v_new;
local_particles[i].position = x_new;
}
}
void get_rank_info(int rank_id,
int bodies_count, // total number of bodies
int world_size, // total number of processes
int& send_size, // number of bodies to be sent from `rank_id` process
int& send_offset // offset of bodies to be sent from `rank_id` process
) {
int particles_per_proc = bodies_count / world_size;
int remainder = bodies_count % world_size;
if (rank_id < remainder) {
send_size = particles_per_proc + 1;
send_offset = rank_id * (particles_per_proc + 1);
} else {
send_size = particles_per_proc;
send_offset = rank_id * particles_per_proc + remainder;
}
// for np = 2 and bodies_count = 5
// rank_id=0: send_size=3, send_offset=0
// rank_id=1: send_size=2, send_offset=3
}
int main(int argc, char **argv) {
MPI_Init(&argc, &argv);
// 获取进程数量和当前进程rank
int world_size, world_rank;
bool verbose=false;
MPI_Comm_size(MPI_COMM_WORLD, &world_size);
MPI_Comm_rank(MPI_COMM_WORLD, &world_rank);
// 从命令行参数获取天体数量
int n = 4; // 默认4个天体
if (argc > 1) {
n = atoi(argv[1]);
}
if (argc > 2) {
verbose = (strcmp(argv[2], "--verbose") == 0 || strcmp(argv[2], "-v") == 0);
}
// 只有rank 0打印初始信息
if (verbose && world_rank == 0) {
cout << "N体问题并行模拟" << endl;
cout << "天体数量: " << n << endl;
cout << "进程数量: " << world_size << endl;
cout << "时间步长: " << DT << " s" << endl;
cout << "总步数: " << TMAX << endl;
cout << "----------------------------------------" << endl;
}
// 定义Body的MPI数据类型
// Body结构包含: mass(1) + position(3) + velocity(3) + force(3) = 10个double
MPI_Datatype MPI_BODY;
MPI_Type_contiguous(10, MPI_DOUBLE, &MPI_BODY);
MPI_Type_commit(&MPI_BODY);
// ============================================
// 步骤1: 获取分配给本进程的物体的初始信息local_particles
// 步骤2: 获取应用程序中所有物体的信息all_particles
// ============================================
vector<Body> all_particles(n);
vector<Body> local_particles;
// 计算每个进程分配到的物体数量
int particles_per_proc = n / world_size;
int remainder = n % world_size;
int local_start, local_count;
if (world_rank < remainder) {
local_count = particles_per_proc + 1;
local_start = world_rank * local_count;
} else {
local_count = particles_per_proc;
local_start = world_rank * particles_per_proc + remainder;
}
// Rank 0初始化所有物体
if (world_rank == 0) {
init_bodies(all_particles, n, verbose);
}
// 广播所有物体的初始信息到所有进程
MPI_Bcast(all_particles.data(), n, MPI_BODY, 0, MPI_COMM_WORLD);
// 每个进程提取自己负责的物体
local_particles.resize(local_count);
for (int i = 0; i < local_count; i++) {
local_particles[i] = all_particles[local_start + i];
}
if (world_rank == 0) {
cout << "\n开始模拟..." << endl;
}
// 创建发送和接收缓冲区信息
vector<int> all_send_size(world_size);
vector<int> all_send_offset(world_size);
for (int r = 0; r < world_size; r++) {
get_rank_info(r, n, world_size, all_send_size[r], all_send_offset[r]);
#ifdef DEBUG
if (world_rank == 0) { // 只让rank 0打印
cout << "Process " << r << " will send "
<< all_send_size[r] << " bodies starting from offset "
<< all_send_offset[r] << endl;
}
#endif
}
double start_time = MPI_Wtime();
vector<Body> send_buf(local_count); // 使用local_count确定大小
#ifdef DEBUG
if (verbose || world_rank == 0) {
cout << fixed << setprecision(6);
cout << "\n进程 " << world_rank << " 负责天体 " << local_start
<< " 到 " << (local_start + local_count - 1) << endl;
}
#endif
// ============================================
// 主循环：N体模拟
// ============================================
for (int t = 0; t < TMAX; t++) {
// ------------------------------------------
// 计算所有物体对分配给本进程的物体的作用力
// 并据此更新local_particles的本进程的物体信息
// ------------------------------------------
compute_local_forces(local_particles, all_particles, local_start);
// ------------------------------------------
// 将本进程信息local_particles保存到发送缓冲区send_buf
// 同时更新all_particles中的部分信息
// ------------------------------------------
send_buf = local_particles;
// 更新all_particles中本进程负责的部分信息
for (int i = 0; i < local_count; i++) {
all_particles[local_start + i] = local_particles[i];
}
// ------------------------------------------
// 环形通信：对每个进程进行m-1次通信
// ------------------------------------------
MPI_Allgatherv(send_buf.data(), local_count,
MPI_BODY, all_particles.data(),
all_send_size.data(), all_send_offset.data(),
MPI_BODY, MPI_COMM_WORLD);
// 每10步输出一次状态（仅rank 0）
if (verbose && (t + 1) % 10 == 0 && world_rank == 0) {
cout << "时间步 " << t + 1 << ":" << endl;
for (int i = 0; i < n; i++) {
cout << " 天体 " << i << ": "
<< "位置=(" << all_particles[i].position.x / dist_scale << ", "
<< all_particles[i].position.y / dist_scale << ", "
<< all_particles[i].position.z / dist_scale << ")e8 m, "
<< "速度=(" << all_particles[i].velocity.x / vel_scale << ", "
<< all_particles[i].velocity.y / vel_scale << ", "
<< all_particles[i].velocity.z / vel_scale << ")e3 m/s" << endl;
}
}
}
if (world_rank == 0) {
cout << "" << endl;
double end_time = MPI_Wtime();
cout << "模拟用时: " << end_time - start_time << " 秒" << endl;
cout << "\n模拟完成!" << endl;
}
MPI_Type_free(&MPI_BODY);
MPI_Finalize();
return 0;
}

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lab3/nbody/nbody_ser.cpp Normal file
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#include <cstring>
#include <iostream>
#include <cmath>
#include <vector>
#include <cstdlib>
#include <iomanip>
using namespace std;
// 常量定义
const double G = 6.67430e-11; // 引力常数 (m^3 kg^-1 s^-2)
const double DT = 0.01; // 时间步长
const int TMAX = 100; // 总时间步数
// 三维向量结构体
struct Vec3 {
double x, y, z;
Vec3() : x(0), y(0), z(0) {}
Vec3(double x, double y, double z) : x(x), y(y), z(z) {}
Vec3 operator+(const Vec3& other) const {
return Vec3(x + other.x, y + other.y, z + other.z);
}
Vec3 operator-(const Vec3& other) const {
return Vec3(x - other.x, y - other.y, z - other.z);
}
Vec3 operator*(double scalar) const {
return Vec3(x * scalar, y * scalar, z * scalar);
}
Vec3 operator/(double scalar) const {
return Vec3(x / scalar, y / scalar, z / scalar);
}
double magnitude() const {
return sqrt(x*x + y*y + z*z);
}
};
// 天体结构体
struct Body {
double mass; // 质量
Vec3 position; // 位置
Vec3 velocity; // 速度
Vec3 force; // 受力
};
// 计算第i个物体所受的引力
Vec3 compute_force(int i, const vector<Body>& bodies) {
Vec3 total_force(0, 0, 0);
for (size_t j = 0; j < bodies.size(); j++) {
if (i == j) continue; // 跳过自己
// 计算从物体i指向物体j的向量
Vec3 r_vec = bodies[j].position - bodies[i].position;
double distance = r_vec.magnitude();
// 避免除以零（物体重合的情况）
if (distance < 1e-10) continue;
// 计算引力大小: F = G * m_i * m_j / r^2
double force_magnitude = G * bodies[i].mass * bodies[j].mass / (distance * distance);
// 计算力的方向（单位向量）
Vec3 force_direction = r_vec / distance;
// 累加力（考虑方向）
total_force = total_force + force_direction * force_magnitude;
}
return total_force;
}
int main(int argc, char** argv) {
// 可以从命令行参数获取天体数量
int n = 4; // 默认4个天体
bool verbose = false;
if (argc > 1) {
n = atoi(argv[1]);
}
if (argc > 2) {
verbose = (strcmp(argv[2], "--verbose") == 0 || strcmp(argv[2], "-v") == 0);
}
cout << "N体问题串行模拟" << endl;
cout << "天体数量: " << n << endl;
cout << "时间步长: " << DT << " s" << endl;
cout << "总步数: " << TMAX << endl;
cout << "----------------------------------------" << endl;
// 初始化天体系统
vector<Body> bodies(n);
vector<Body> bodies_new(n);
// 初始化天体数据（简化版：模拟太阳系内行星）
// 使用简化的单位系统以便观察效果
double mass_scale = 1e24; // 质量缩放因子
double dist_scale = 1e8; // 距离缩放因子
double vel_scale = 1e3; // 速度缩放因子
// 中心天体（类似太阳）
bodies[0].mass = 1000 * mass_scale;
bodies[0].position = Vec3(0, 0, 0);
bodies[0].velocity = Vec3(0, 0, 0);
// 其他天体（类似行星）
for (int i = 1; i < n; i++) {
bodies[i].mass = (1.0 + i * 0.5) * mass_scale;
double angle = 2.0 * M_PI * i / n;
double radius = (1.0 + i * 0.5) * dist_scale;
bodies[i].position = Vec3(
radius * cos(angle),
radius * sin(angle),
0.0
);
// 给予切向速度以形成轨道
double orbital_speed = sqrt(G * bodies[0].mass / radius);
bodies[i].velocity = Vec3(
-orbital_speed * sin(angle),
orbital_speed * cos(angle),
0.0
);
}
// 输出初始状态
cout << fixed << setprecision(6);
if(verbose){
cout << "\n初始状态:" << endl;
for (int i = 0; i < n; i++) {
cout << "天体 " << i << ": 质量=" << bodies[i].mass/mass_scale << "e24 kg, "
<< "位置=(" << bodies[i].position.x/dist_scale << ", "
<< bodies[i].position.y/dist_scale << ", "
<< bodies[i].position.z/dist_scale << ")e8 m" << endl;
}
}
// 主循环：N体模拟
cout << "\n开始模拟..." << endl;
time_t start_time = clock();
for (int t = 0; t < TMAX; t++) {
// 第一步：计算所有物体新的速度和位置
for (int i = 0; i < n; i++) {
// 计算第i个物体所受的力
Vec3 F = compute_force(i, bodies);
// 计算新速度: v^(t+1) = v^t + F * dt / m
Vec3 v_new = bodies[i].velocity + F * DT / bodies[i].mass;
// 计算新位置: x^(t+1) = x^t + v^(t+1) * dt
Vec3 x_new = bodies[i].position + v_new * DT;
// 保存到临时数组
bodies_new[i].mass = bodies[i].mass;
bodies_new[i].position = x_new;
bodies_new[i].velocity = v_new;
}
// 第二步：更新所有物体的速度和位置
for (int i = 0; i < n; i++) {
bodies[i].position = bodies_new[i].position;
bodies[i].velocity = bodies_new[i].velocity;
}
// 每10步输出一次状态
if (verbose && (t + 1) % 10 == 0) {
cout << "时间步 " << t + 1 << ":" << endl;
for (int i = 0; i < n; i++) {
cout << " 天体 " << i << ": "
<< "位置=(" << bodies[i].position.x/dist_scale << ", "
<< bodies[i].position.y/dist_scale << ", "
<< bodies[i].position.z/dist_scale << ")e8 m, "
<< "速度=(" << bodies[i].velocity.x/vel_scale << ", "
<< bodies[i].velocity.y/vel_scale << ", "
<< bodies[i].velocity.z/vel_scale << ")e3 m/s" << endl;
}
}
}
time_t end_time = clock();
double elapsed_secs = double(end_time - start_time) / CLOCKS_PER_SEC;
cout << "\n模拟用时: " << elapsed_secs << " 秒" << endl;
cout << "\n模拟完成!" << endl;
return 0;
}

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lab3/nbody/xmake.lua Normal file
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add_rules("mode.debug", "mode.release")
-- Find MPI package
add_requires("mpi", {system = true})
add_requires("mpi_cxx", {system = true})
target("nbody_ser")
set_kind("binary")
add_files("nbody_ser.cpp")
target("nbody_par")
set_kind("binary")
add_files("nbody_par.cpp")
add_packages("mpi")
add_packages("mpi_cxx")

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lab3/prime/lab3_prime.sh Executable file
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#!/bin/bash
# Lab 3: Prime Number Calculation Performance Test
# This script tests the parallel prime calculation program with different N and process counts
echo "=========================================="
echo "Lab 3: Prime Number Calculation Performance Test"
echo "=========================================="
echo ""
# Array of N values
N_VALUES=(100000 200000 400000 800000)
# Array of process counts
PROCESS_COUNTS=(1 2 4 6 8)
# Output file for results
OUTPUT_FILE="prime_results.txt"
# Clear previous results
> $OUTPUT_FILE
# Print header
echo "N值 进程数 素数个数 执行时间(秒)" | tee -a $OUTPUT_FILE
echo "--------------------------------------------------------" | tee -a $OUTPUT_FILE
# Loop through each N value
for N in "${N_VALUES[@]}"; do
echo ""
echo "Testing N = $N"
echo "------------------------"
# Loop through each process count
for P in "${PROCESS_COUNTS[@]}"; do
echo -n "Running with $P process(es)... "
# Run the program and capture output
OUTPUT=$(mpirun -n $P ./build/linux/x86_64/release/prime_par_naive $N 2>&1)
# Extract prime count and time from output
PRIME_COUNT=$(echo "$OUTPUT" | grep "Between" | grep -oP '\d+(?= primes)')
TIME=$(echo "$OUTPUT" | grep "Time =" | grep -oP '[0-9.]+(?= seconds)')
# Print result
if [ ! -z "$PRIME_COUNT" ] && [ ! -z "$TIME" ]; then
echo "$N $P $PRIME_COUNT $TIME" | tee -a $OUTPUT_FILE
echo "Done! (Primes: $PRIME_COUNT, Time: ${TIME}s)"
else
echo "Error running program!"
echo "$N $P ERROR ERROR" | tee -a $OUTPUT_FILE
fi
done
done
echo ""
echo "=========================================="
echo "Test completed!"
echo "=========================================="
echo ""
echo "Results saved to: $OUTPUT_FILE"
echo ""
echo "Summary Table:"
echo "--------------------------------------------------------"
cat $OUTPUT_FILE
echo "--------------------------------------------------------"

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lab3/prime/src/prime_par.cpp Normal file
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#include <iostream>
#include <vector>
#include <cmath>
#include <mpi.h>
// Function to perform the Sieve of Eratosthenes on a local segment
void local_sieve(int low, int high, std::vector<bool>& is_prime, const std::vector<int>& base_primes) {
// Initialize all numbers in the local segment as potentially prime
is_prime.assign(high - low + 1, true);
// If the segment starts from 0 or 1, mark them as not prime
if (low == 0) {
is_prime[0] = false;
if (high >= 1) {
is_prime[1] = false;
}
} else if (low == 1) {
is_prime[0] = false;
}
// Use the base primes to mark non-primes in the local segment
for (int p : base_primes) {
// Find the first multiple of p within the [low, high] range
int start_multiple = (low / p) * p;
if (start_multiple < low) {
start_multiple += p;
}
// Ensure we don't mark the prime number itself as non-prime
if (start_multiple == p) {
start_multiple += p;
}
// Mark all multiples of p in the local segment as non-prime
for (int multiple = start_multiple; multiple <= high; multiple += p) {
is_prime[multiple - low] = false;
}
}
}
int main(int argc, char* argv[]) {
MPI_Init(&argc, &argv);
int rank, size;
double wtime;
MPI_Comm_rank(MPI_COMM_WORLD, &rank);
MPI_Comm_size(MPI_COMM_WORLD, &size);
// Check for correct number of arguments
if (argc != 3) {
if (rank == 0) {
std::cerr << "Usage: " << argv[0] << " <N> <B>" << std::endl;
std::cerr << " N: Upper bound of the range [2, N]." << std::endl;
std::cerr << " B: Block size for distributing the range." << std::endl;
}
MPI_Finalize();
return 1;
}
int N = std::atoi(argv[1]);
int B = std::atoi(argv[2]);
if (N < 2) {
if (rank == 0) {
std::cout << "The range [2, " << N << "] contains 0 prime numbers." << std::endl;
}
MPI_Finalize();
return 0;
}
// --- Step 1: Process 0 finds base primes up to sqrt(N) ---
std::vector<int> base_primes;
int limit = static_cast<int>(std::sqrt(N));
if (rank == 0) {
wtime = MPI_Wtime ( );
std::vector<bool> is_prime_small(limit + 1, true);
is_prime_small[0] = is_prime_small[1] = false;
for (int p = 2; p * p <= limit; ++p) {
if (is_prime_small[p]) {
for (int i = p * p; i <= limit; i += p) {
is_prime_small[i] = false;
}
}
}
for (int i = 2; i <= limit; ++i) {
if (is_prime_small[i]) {
base_primes.push_back(i);
}
}
}
// --- Step 2: Broadcast base primes to all processes ---
int num_base_primes = base_primes.size();
MPI_Bcast(&num_base_primes, 1, MPI_INT, 0, MPI_COMM_WORLD);
if (rank != 0) {
base_primes.resize(num_base_primes);
}
MPI_Bcast(base_primes.data(), num_base_primes, MPI_INT, 0, MPI_COMM_WORLD);
// --- Step 3: Distribute the range [sqrt(N)+1, N] among processes ---
int start_range = limit + 1;
if (start_range > N) {
// No range to distribute, all primes are base primes
int total_count = base_primes.size();
if (rank == 0) {
std::cout << "Total prime count in [2, " << N << "] is " << total_count << "." << std::endl;
}
MPI_Finalize();
return 0;
}
int total_elements = N - start_range + 1;
int local_low, local_high;
std::vector<bool> is_prime_local;
// Calculate local range for this process
int num_blocks = (total_elements + B - 1) / B;
for (int i = 0; i < num_blocks; ++i) {
if (i % size == rank) {
int block_start = start_range + i * B;
int block_end = std::min(block_start + B - 1, N);
// Perform sieve on this block
std::vector<bool> is_prime_block;
local_sieve(block_start, block_end, is_prime_block, base_primes);
// Count primes in this block
int block_count = 0;
for (bool prime : is_prime_block) {
if (prime) {
block_count++;
}
}
// In a real implementation, you would aggregate these counts.
// For simplicity, we'll just print from rank 0 after gathering.
// This part of the logic is simplified for the example.
// A more robust solution would gather all local counts.
}
}
// Simplified counting: each process calculates its total assigned range and counts.
// This is a more straightforward approach than iterating through blocks.
int elements_per_proc = total_elements / size;
int remainder = total_elements % size;
if (rank < remainder) {
local_low = start_range + rank * (elements_per_proc + 1);
local_high = local_low + elements_per_proc;
} else {
local_low = start_range + rank * elements_per_proc + remainder;
local_high = local_low + elements_per_proc - 1;
}
local_high = std::min(local_high, N);
// Perform sieve on the assigned local range
local_sieve(local_low, local_high, is_prime_local, base_primes);
// Count primes in the local range
int local_prime_count = 0;
for (bool prime : is_prime_local) {
if (prime) {
local_prime_count++;
}
}
// --- Step 4: Gather local prime counts ---
int global_prime_count = 0;
MPI_Reduce(&local_prime_count, &global_prime_count, 1, MPI_INT, MPI_SUM, 0, MPI_COMM_WORLD);
double end_wtime;
// --- Step 5: Process 0 prints the final result ---
if (rank == 0) {
end_wtime = MPI_Wtime ( ) - wtime;
int total_count = base_primes.size() + global_prime_count;
std::cout << "Total prime count in [2, " << N << "] is " << total_count << "." << std::endl;
std::cout << "Time = " << end_wtime << " seconds" << std::endl;
}
MPI_Finalize();
return 0;
}

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lab3/prime/src/prime_par_naive.cpp Normal file
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#include <cstdlib>
#include <cstdio>
#include <ctime>
#include <mpi.h>
int main ( int argc, char *argv[] );
int prime_part ( int id, int p, int n );
int main ( int argc, char *argv[] )
{
int id;
int n = 100000;
int p;
int total;
int total_part;
double wtime;
// (1) 调用MPI头文件 - 已在顶部添加 #include <mpi.h>
// (2) 在并行处理之前调用MPI_Init(), MPI_Comm_size(), MPI_Comm_rank()
MPI_Init ( &argc, &argv );
MPI_Comm_size ( MPI_COMM_WORLD, &p );
MPI_Comm_rank ( MPI_COMM_WORLD, &id );
// (7) 利用MPI_Wtime()来统计时间
if ( id == 0 )
{
wtime = MPI_Wtime ( );
}
// (8) 将N改为用户输入参数
// Check for correct number of arguments
if (argc == 2) {
n = std::atoi(argv[1]);
} else if (argc > 2) {
if ( id == 0 )
{
printf("Usage: %s [n]\n", argv[0]);
}
MPI_Finalize();
return 1;
}
// 每个进程计算自己负责的部分
total_part = prime_part ( id, p, n );
// (4) 调用MPI_Reduce()收集各进程的计算结果
MPI_Reduce ( &total_part, &total, 1, MPI_INT, MPI_SUM, 0, MPI_COMM_WORLD );
// (5) 进程0打印最终的计算结果
if ( id == 0 )
{
wtime = MPI_Wtime ( ) - wtime;
printf ( "\n" );
printf ( "Between 2 and %d, there are %d primes\n", n, total );
printf ( "Time = %f seconds\n", wtime );
}
// (3) 在并行处理之后调用MPI_Finalize()
MPI_Finalize ( );
return 0;
}
int prime_part ( int id, int p, int n )
{
int i;
int j;
int prime;
int total_part;
total_part = 0;
// 每个进程处理自己负责的子列表
// 例如：P=4时
// Part 0: 2, 6, 10, 14, ...
// Part 1: 3, 7, 11, 15, ...
// Part 2: 4, 8, 12, ...
// Part 3: 5, 9, 13, ...
for ( i = 2 + id; i <= n; i = i + p )
{
prime = 1;
for ( j = 2; j < i; j++ )
{
if ( i % j == 0 )
{
prime = 0;
break;
}
}
if ( prime )
{
total_part = total_part + 1;
}
}
return total_part;
}

58
lab3/prime/src/prime_ser.cpp Normal file
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#include <cstdlib>
#include <cstdio>
#include <ctime>
int main ( int argc, char *argv[] );
int prime_part ( int id, int p, int n );
int main ( int argc, char *argv[] )
{
int id;
int n = 100000;
int p;
int total;
int total_part;
p = 4;
// Check for correct number of arguments
if (argc == 2) {
n = std::atoi(argv[1]);
} else if (argc > 2) {
printf("Usage: %s [n]\n", argv[0]);
return 1;
}
total = 0;
for ( id = 0; id < p; id++ )
{
total_part = prime_part ( id, p, n );
total = total + total_part;
}
printf ( "\n" );
printf ( "Between 2 and %d, there are %d primes\n", n, total );
return 0;
}
int prime_part ( int id, int p, int n )
{
int i;
int j;
int prime;
int total_part;
total_part = 0;
for ( i = 2 + id; i <= n; i = i + p )
{
prime = 1;
for ( j = 2; j < i; j++ )
{
if ( i % j == 0 )
{
prime = 0;
break;
}
}
if ( prime )
{
total_part = total_part + 1;
}
}
return total_part;
}

93
lab3/prime/xmake.lua Normal file
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add_rules("mode.debug", "mode.release")
-- Find MPI package
add_requires("mpi", {system = true})
add_requires("mpi_cxx", {system = true})
target("prime_ser")
set_kind("binary")
add_files("src/prime_ser.cpp")
target("prime_par")
set_kind("binary")
add_files("src/prime_par.cpp")
add_packages("mpi")
add_packages("mpi_cxx")
target("prime_par_naive")
set_kind("binary")
add_files("src/prime_par_naive.cpp")
add_packages("mpi")
add_packages("mpi_cxx")
-- Alternatively, if MPI is installed system-wide, you can use:
--
-- If you want to known more usage about xmake, please see https://xmake.io
--
-- ## FAQ
--
-- You can enter the project directory firstly before building project.
--
-- $ cd projectdir
--
-- 1. How to build project?
--
-- $ xmake
--
-- 2. How to configure project?
--
-- $ xmake f -p [macosx|linux|iphoneos ..] -a [x86_64|i386|arm64 ..] -m [debug|release]
--
-- 3. Where is the build output directory?
--
-- The default output directory is `./build` and you can configure the output directory.
--
-- $ xmake f -o outputdir
-- $ xmake
--
-- 4. How to run and debug target after building project?
--
-- $ xmake run [targetname]
-- $ xmake run -d [targetname]
--
-- 5. How to install target to the system directory or other output directory?
--
-- $ xmake install
-- $ xmake install -o installdir
--
-- 6. Add some frequently-used compilation flags in xmake.lua
--
-- @code
-- -- add debug and release modes
-- add_rules("mode.debug", "mode.release")
--
-- -- add macro definition
-- add_defines("NDEBUG", "_GNU_SOURCE=1")
--
-- -- set warning all as error
-- set_warnings("all", "error")
--
-- -- set language: c99, c++11
-- set_languages("c99", "c++11")
--
-- -- set optimization: none, faster, fastest, smallest
-- set_optimize("fastest")
--
-- -- add include search directories
-- add_includedirs("/usr/include", "/usr/local/include")
--
-- -- add link libraries and search directories
-- add_links("tbox")
-- add_linkdirs("/usr/local/lib", "/usr/lib")
--
-- -- add system link libraries
-- add_syslinks("z", "pthread")
--
-- -- add compilation and link flags
-- add_cxflags("-stdnolib", "-fno-strict-aliasing")
-- add_ldflags("-L/usr/local/lib", "-lpthread", {force = true})
--
-- @endcode
--