CSQRT(3)

NAME
csqrt, csqrtf, csqrtl - complex square root

SYNOPSIS
libm
#include <complex.h>
double complex
csqrt(double complex z);
float complex
csqrtf(float complex z);
long double complex
csqrtl(long double complex z);

DESCRIPTION
The csqrt(), csqrtf() and csqrtl() functions compute the complex square root of z.

If z = x + iy, then

    Re csqrt(z) = [ (|z| + x) / 2 ]^(1/2).
    Im csqrt(z) = [ (|z| - x) / 2 ]^(1/2).

Note that -csqrt(z) is also a square root of z. The root chosen is always in the right half plane and Im csqrt(z) has the same sign as y.

RETURN VALUES
The csqrt(), csqrtf() and csqrtl() functions return the complex square root of z.

SEE ALSO
cpow(3)

STANDARDS
The csqrt(), csqrtf() and csqrtl() functions conform to isoC-99.