cpowf, cpow, cpowl

float complex       cpowf( float complex x, float complex y );

double complex      cpow( double complex x, double complex y );

long double complex cpowl( long double complex x, long double complex y );

#define pow( x, y )

Parameters

Return value

If no errors occur, the complex power x^y, 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));
}

(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

References

• 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)

See also