I am trying to approximate pi for homework by using a Monte-Carlo method, by randomly sampling points in a unit box, and counting the ratio that falls inside a unit circle enclosed by the box. See below. I am asked to do this in parallel using multithreading but decided to get things working first before parallelizing things. My teacher has hence explicitly asked me to use rand_r() for thread safety. I am aware that better pseudo-random number generators exist. However, I cannot seem to get things right, and I figure I am seeding rand_r() the wrong way. I have tried to seed using the computer time, but the value I get is wrong (around 2.8). If I use some random number and seed rand() with srand() instead, I am able to approximate pi pretty easily. Can anyone enlighten me as to what I am missing here? The code I have written looks like this:
#include <stdlib.h>
#include <stdio.h>
#include <time.h>
#include <math.h>
double randomNumber( unsigned int seed){
/*_Thread_local*/
double maxRand = (double)RAND_MAX; // Maximum random number, cast to double
double randNum = (double)rand_r( &seed ); // Generate pseudo-random number from seed, cast to double
return 2 * randNum/maxRand - 1; // Recast number between -1 and 1
}
int main( void ){
unsigned int seed = time(NULL);
int numOfPts = (int)1e8 ;
int ptsInCircle = 0 ;
double unitCircleRadius = 1.0 ;
double xpos = 0;
double ypos = 0;
for ( int iteration = 0; iteration < numOfPts; iteration++ ){
xpos = randomNumber(seed);
ypos = randomNumber(seed);
if ( sqrt( pow(xpos, 2) + pow(ypos, 2) ) <= unitCircleRadius ){
ptsInCircle++;
}
}
double myPiApprox = 4.0*((double)ptsInCircle)/((double)numOfPts);
printf("My approximation of pi = %g\n", myPiApprox);
return 0;
}
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