/C

# cpowf, cpow, cpowl

Defined in header `<complex.h>`
`float complex       cpowf( float complex x, float complex y );`
(1) (since C99)
`double complex      cpow( double complex x, double complex y );`
(2) (since C99)
`long double complex cpowl( long double complex x, long double complex y );`
(3) (since C99)
Defined in header `<tgmath.h>`
`#define pow( x, y )`
(4) (since C99)
1-3) Computes the complex power function xy
, with branch cut for the first parameter along the negative real axis.
4) 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.

### Parameters

 x, y - complex argument

### Return value

If 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.

### 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```
• C11 standard (ISO/IEC 9899:2011):
• 7.3.8.2 The cpow functions (p: 195-196)
• 7.25 Type-generic math <tgmath.h> (p: 373-375)
• G.6.4.1 The cpow functions (p: 544)
• G.7 Type-generic math <tgmath.h> (p: 545)
• C99 standard (ISO/IEC 9899:1999):
• 7.3.8.2 The cpow functions (p: 177)
• 7.22 Type-generic math <tgmath.h> (p: 335-337)
• G.6.4.1 The cpow functions (p: 479)
• G.7 Type-generic math <tgmath.h> (p: 480)

 csqrtcsqrtfcsqrtl (C99)(C99)(C99) computes the complex square root (function) powpowfpowl (C99)(C99) computes a number raised to the given power (xy) (function) C++ documentation for `pow`