mod

const mpreal mod ( const mpreal & x, const mpreal & y, mp_rnd_t rnd_mode = mpreal::get_default_rnd() )

friend

Definition at line 2634 of file mpreal.h.

{
    (void)rnd_mode;
 
    /*
 
    m = mod(x,y) if y != 0, returns x - n*y where n = floor(x/y)
 
    The following are true by convention:
    - mod(x,0) is x
    - mod(x,x) is 0
    - mod(x,y) for x != y and y != 0 has the same sign as y.
 
    */
 
    if(iszero(y)) return x;
    if(x == y) return 0;
 
    mpreal m = x - floor(x / y) * y;
 
    return copysign(abs(m),y); // make sure result has the same sign as Y
}

References abs, mpfr::copysign(), floor, get_default_rnd(), iszero, mod, mpreal(), and x.

Referenced by mod.