1-3) Computes the complex power function xy
, with branch cut for the first parameter along the negative real axis.
Type-generic macro: If any argument has type
long double complex,
cpowl
is called. if any argument has type
double complex,
cpow
is called, if any argument has type
float complex,
cpowf
is called. If the arguments are real or integer, then the macro invokes the corresponding real function (
powf,
pow,
powl). If any argument is imaginary, the corresponding complex number version is called.
[edit] Parameters [edit] Return valueIf no errors occur, the complex power xy
, is returned.
Errors and special cases are handled as if the operation is implemented by cexp(y*clog(x)), except that the implementation is allowed to treat special cases more carefully.
[edit] 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));
}
Output:
(1+2i)^2 = -3.0+4.0i (-1+0i)^0.5 = 0.0+1.0i (-1-0i)^0.5 = 0.0-1.0i i^i = 0.207880+0.000000i[edit] References
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