cpowf, cpow, cpowl
Header: <complex.h>
1-3) Computes the complex power function xy, with branch cut for the first parameter along the negative real axis.
# Declarations
float complex cpowf( float complex x, float complex y );
(since C99)
double complex cpow( double complex x, double complex y );
(since C99)
long double complex cpowl( long double complex x, long double complex y );
(since C99)
#define pow( x, y )
(since C99)
# Parameters
x, y: complex argument
# Return value
If no errors occur, the complex power xy, is returned.
# Example
#include <stdio.h>
#include <complex.h>
int main(void)
{
double complex z = cpow(1.0+2.0*I, 2);
printf("(1+2i)^2 = %.1f%+.1fi\n", creal(z), cimag(z));
double complex z2 = cpow(-1, 0.5);
printf("(-1+0i)^0.5 = %.1f%+.1fi\n", creal(z2), cimag(z2));
double complex z3 = cpow(conj(-1), 0.5); // other side of the cut
printf("(-1-0i)^0.5 = %.1f%+.1fi\n", creal(z3), cimag(z3));
double complex z4 = cpow(I, I); // i^i = exp(-pi/2)
printf("i^i = %f%+fi\n", creal(z4), cimag(z4));
}