sin, cos, tan and rounding error

Question

I\'m doing some trigonometry calculations in C/C++ and am running into problems with rounding errors. For example, on my Linux system:

#include 

        

Answer 1

Unless your program requires significant digits out to the 16th decimal place or more, you probably can do the rounding manually. From my experience programming games we always rounded our decimals to a tolerable significant digit. For example:

#include 
#include 
#include 

#define HALF 0.5
#define GREATER_EQUAL_HALF(X) (X) >= HALF

double const M_PI = 2 * acos(0.0);

double round(double val, unsigned  places = 1) 
{
    val = val * pow(10.0f, (float)places);
    long longval = (long)val;
    if ( GREATER_EQUAL_HALF(val - longval) ) {
       return ceil(val) / pow(10.0f, (float)places);
    } else {
      return floor(val) / pow(10.0f, (float)places);
    }
}

int main() 
{
    printf("\nValue %lf", round(sin(M_PI), 10));
    return 0;
}