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// calculate integral using client-server model
// compile: mpicc integral2_mpi.c -lm
// usage: mpirun -n process# ./a.out trial#
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <limits.h>
#include <mpi.h>
#define CHUNK_SIZE 1000
// w is weight function
double w(double x, double y)
{
return exp( - ( x*x + y*y ) );
}
//f is the function to be integrated
double f(double x, double y)
{
return M_PI * ( x*x + y*y ) ;
}
void generator(double * x, double * y)
{
double xt, yt, ratio, tmp ;
double delta = 0.5 ;
tmp = (double)rand() / (double)RAND_MAX ;
xt = (*x) + delta * (2 * tmp - 1) ;
tmp = (double)rand() / (double)RAND_MAX ;
yt = (*y) + delta * (2 * tmp - 1) ;
ratio = w(xt, yt ) / w(*x, *y) ;
tmp = (double)rand() / (double)RAND_MAX ;
if(ratio > tmp )
{
*x = xt ;
*y = yt ;
}
}
int main(int argc, char* argv[])
{
double x, y ;
double sum ;
double total_sum ;
double integral ;
int trials, trials_per_p;
int i, j ;
int pnumber, myrank;
int x_array_tag = 1111 ;
int y_array_tag = 2222 ;
int demand_tag = 3333 ;
int all_done_tag = 4444 ;
int sum_tag = 5555 ;
MPI_Init(&argc,&argv);
MPI_Comm_rank(MPI_COMM_WORLD, &myrank);
MPI_Comm_size(MPI_COMM_WORLD, &pnumber);
x = 0.0 ;
y = 0.0 ;
trials = atoi(argv[1]);
if(myrank == (pnumber - 1 ))
{
int sent = 0 ;
int demander ;
int destination = 0;
double * x_array ;
double * y_array ;
int flag=0;
MPI_Status status;
MPI_Request request;
x_array = malloc( trials * sizeof(double)) ;
y_array = malloc( trials * sizeof(double)) ;
int generated = 0 ;
for(i=0 ; i < trials ; i++)
{
generator(&x, &y);
x_array[generated] = x ;
y_array[generated] = y ;
generated++ ;
}
while(sent < trials)
{
MPI_Recv(&demander, 1, MPI_INT, MPI_ANY_SOURCE, demand_tag, MPI_COMM_WORLD, &status) ;
MPI_Send(&x_array[sent ], CHUNK_SIZE , MPI_DOUBLE, demander, x_array_tag, MPI_COMM_WORLD);
MPI_Send(&y_array[sent ], CHUNK_SIZE , MPI_DOUBLE, demander, y_array_tag, MPI_COMM_WORLD);
sent += CHUNK_SIZE ;
}
for (i=0 ; i < (pnumber-2) ; i++)
{
MPI_Recv(&demander, 1, MPI_INT, MPI_ANY_SOURCE, demand_tag, MPI_COMM_WORLD, &status) ;
}
double all_done = 1.0 ;
MPI_Send(&all_done, 1 , MPI_DOUBLE, 0, all_done_tag, MPI_COMM_WORLD);
}
if(myrank == 0)
{
int all_done = 0;
double sum = 0.0 ;
double temp;
MPI_Status status;
MPI_Request request;
while(1)
{
MPI_Recv(&temp, 1, MPI_DOUBLE, MPI_ANY_SOURCE, MPI_ANY_TAG , MPI_COMM_WORLD, &status) ;
if(status.MPI_SOURCE == (pnumber - 1))
{
printf("all done received\n");
break ;
}
sum += temp ;
}
printf("%f\n", sum / trials);
MPI_Finalize();
}
if((myrank != 0) && (myrank != pnumber-1) )
{
MPI_Status status;
MPI_Request request;
int flag;
double * local_x_array ;
double * local_y_array ;
local_x_array = malloc( CHUNK_SIZE * sizeof(double)) ;
local_y_array = malloc( CHUNK_SIZE * sizeof(double)) ;
while(1)
{
MPI_Send(&myrank, 1 , MPI_INT, (pnumber-1), demand_tag, MPI_COMM_WORLD);
MPI_Recv(local_x_array, CHUNK_SIZE , MPI_DOUBLE, (pnumber - 1 ), x_array_tag, MPI_COMM_WORLD, &status) ;
MPI_Recv(local_y_array, CHUNK_SIZE , MPI_DOUBLE, (pnumber - 1 ), y_array_tag, MPI_COMM_WORLD, &status) ;
for(i=0 ; i < CHUNK_SIZE ; i++)
{
sum += f(local_x_array[i], local_y_array[i]) ;
}
MPI_Send(&sum, 1 , MPI_DOUBLE, 0, sum_tag, MPI_COMM_WORLD);
sum = 0.0 ;
}
}
return 0;
}