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59 lines
1.5 KiB
C

#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <mpi.h>
#include <time.h>
int main( int argc, char *argv[]){
int n, mynode, totalnodes, i;
double PI25DT = 3.141592653589793238462643;
double mypi, pi, h;
double x, y, x1, x2, y1, y2;
int SqPoints, CiPoints, my_SqPoints, my_CiPoints;
unsigned int seed = (unsigned) time(NULL);
MPI_Init(&argc,&argv);
MPI_Comm_size(MPI_COMM_WORLD,&totalnodes);
MPI_Comm_rank(MPI_COMM_WORLD,&mynode);
if(mynode == 0){
if(argc != 2){
n = 20;
}else{
n = atoi(argv[1]);
}
}
// Broadcast the number of intervals everywhere
h = 2.0 / (double) totalnodes;
x1 = -1.0 + mynode * h;
x2 = x1 + h;
y1 = -1.0;
y2 = 1.0;
my_SqPoints = 0;
my_CiPoints = 0;
for (i = 1; i <= n; i++)
{
srand(seed + mynode);
x = rand(&seed); x = x / RAND_MAX; x = x1 + x * (x2 - x1);
y = rand(&seed); y = y / RAND_MAX; y = y1 + y * (y2 - y1);
// do the check on the local Montecarlo Integration : my_SqPoints, my_CiPoints should store
// the number of points into the square, and into the circle (respectively)
}
SqPoints = 0;
CiPoints = 0;
// Perform reduce operation to put into SqPoints and CiPoints the values
if (mynode == 0)
{
pi = 4.0 * (double)CiPoints / (double)SqPoints;
printf("Pi is approximately %.16f = 4.0 %d/%d, Error is %e (h = %e)\n",pi,CiPoints,SqPoints,fabs(pi - PI25DT),1.0/sqrt( (double) SqPoints) );
}
MPI_Finalize();
return 0;
}