#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;
}