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bbod
2020-04-11 16:45:17 -06:00
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#include <iostream>
#include <mpi.h>
#include <stdlib.h>
#include <time.h>
#define MCW MPI_COMM_WORLD
using namespace std;
//Problem size
const int N = 10;
//global variables
double A[N][N];
double B[N][N];
double AB[N][N];
double AB_serial[N][N];
//timing variables
double time1,time2,time3;
//Function to fill matrices at random
void fill_matrices(){
srand(time(NULL));
for(int i = 0; i <N; i++){
for (int j = 0; j < N; j++){
A[i][j] = rand() %4;
B[i][j] = rand() %4;
}
}
}
//Function to print matrix
void print_matrix(double mat[][N]){
for (int i = 0; i < N; i++){
for (int j = 0; j<N; j++){
cout << mat[i][j] << " ";
}
cout << endl;
}
cout << endl;
}
//Serial version of solution
void serial_version(){
for (int i = 0; i <N; i++){
for (int j = 0; j < N;j++){
AB_serial[i][j] = 0;
for (int k = 0; k <N; k++){
AB_serial[i][j] += A[i][k]*B[k][j];
}
}
}
}
//Compute interval multiplication
void compute_interval(int start,int interval){
for(int i = start; i <start+interval;i++){
for (int j = 0; j <N; j++){
AB[i][j] = 0;
for (int k = 0; k <N; k++){
AB[i][j] += A[i][k]*B[k][j];
}
}
}
}
int main(int argc, char** argv){
int interval, remainder, rank, size;
MPI_Init(&argc, &argv);
MPI_Comm_rank(MCW, &rank);
MPI_Comm_size(MCW, &size);
//compute interval size
//rank 0 responsible for remainder
interval = N/size;
remainder = N%size;
//Record start time
MPI_Barrier(MCW);
time1 = MPI_Wtime();
//Rank 0 fills the matrices and computes the remainder
if(!rank){
fill_matrices();
compute_interval(size*interval,remainder);
}
//Broadcast Matrix B and scatter relevant portions of Matrix A
MPI_Bcast(B,N*N,MPI_DOUBLE,0,MCW);
MPI_Scatter(A,interval*N,MPI_DOUBLE,A[rank*interval],interval*N,MPI_DOUBLE,0,MCW);
//Each processor cumputes the interval they are responsible for
compute_interval(rank*interval,interval);
//Gather results
MPI_Gather(AB[rank*interval],interval*N,MPI_DOUBLE,AB,interval*N,MPI_DOUBLE,0,MCW);
//Record parallel finish time
MPI_Barrier(MCW);
time2 = MPI_Wtime();
if (!rank){
//serial computation
serial_version();
//Record serial finish time
time3 = MPI_Wtime();
//Print times
cout << "Problem size " << N << endl;
cout << size << " processors computed in time: " << time2-time1 << endl;
cout << "Serial version computed in time: " << time3-time2 << endl;
cout << "Efficiency of: " << (time3-time2)/((time2-time1)*size) << endl;
//Code to print matrices and results
cout << "Matrix A: " << endl;
print_matrix(A);
cout << "multiplied Matrix B:" << endl;
print_matrix(B);
cout << "gives matrix AB:" << endl;
print_matrix(AB);
cout << "serial version gives:" << endl;
print_matrix(AB_serial);
}
MPI_Finalize();
}