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/* cpowl.c */
/*
Contributed by Danny Smith
2005-01-04
*/
/* cpow(X, Y) = cexp(X * clog(Y)) */
#include <math.h>
#include <complex.h>
long double complex cpowl (long double complex X, long double complex Y)
{
long double complex Res;
long double i;
long double r = hypotl (__real__ X, __imag__ X);
if (r == 0.0L)
{
__real__ Res = __imag__ Res = 0.0L;
}
else
{
long double rho;
long double theta;
i = cargl (X);
theta = i * __real__ Y;
if (__imag__ Y == 0.0L)
/* This gives slightly more accurate results in these cases. */
rho = powl (r, __real__ Y);
else
{
r = logl (r);
/* rearrangement of cexp(X * clog(Y)) */
theta += r * __imag__ Y;
rho = expl (r * __real__ Y - i * __imag__ Y);
}
__real__ Res = rho * cosl (theta);
__imag__ Res = rho * sinl (theta);
}
return Res;
}
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