Hello Friends,
I encountered following program in one of the Linux Howtos. This calculates
the value of pai. But how does it do this? I am not asking the programming
details, but on what theory the formula is based on. Can anybody help? Is
there any better place to look for help?
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#include <stdlib.h>;
#include <stdio.h>;
main(int argc, char **argv)
{
register double width, sum;
register int intervals, i;
/* get the number of intervals */
intervals = atoi(argv[1]);
width = 1.0 / intervals;
/* do the computation */
sum = 0;
for (i=0; i<intervals; ++i) {
register double x = (i + 0.5) * width;
sum += 4.0 / (1.0 + x * x);
}
sum *= width;
printf("Estimation of pi is %f\n", sum);
return(0);
}
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