NAME

       carg, cargf, cargl - calculate the complex argument

LIBRARY

       Math library (libm, -lm)

SYNOPSIS

       #include <complex.h>

       double carg(double complex z);
       float cargf(float complex z);
       long double cargl(long double complex z);

DESCRIPTION

       These  functions  calculate  the  complex  argument (also called phase angle) of z, with a
       branch cut along the negative real axis.

       A complex number can be described by  two  real  coordinates.   One  may  use  rectangular
       coordinates and gets

           z = x + I * y

       where x = creal(z) and y = cimag(z).

       Or one may use polar coordinates and gets

           z = r * cexp(I * a)

       where r = cabs(z) is the "radius", the "modulus", the absolute value of z, and a = carg(z)
       is the "phase angle", the argument of z.

       One has:

           tan(carg(z)) = cimag(z) / creal(z)

RETURN VALUE

       The return value is in the range of [-pi,pi].

ATTRIBUTES

       For an explanation of the terms used in this section, see attributes(7).

       ┌───────────────────────────────────────────────────────────────┬───────────────┬─────────┐
       │Interface                                                      │ Attribute     │ Value   │
       ├───────────────────────────────────────────────────────────────┼───────────────┼─────────┤
       │carg(), cargf(), cargl()                                       │ Thread safety │ MT-Safe │
       └───────────────────────────────────────────────────────────────┴───────────────┴─────────┘

STANDARDS

       C11, POSIX.1-2008.

HISTORY

       glibc 2.1.  C99, POSIX.1-2001.

SEE ALSO

       cabs(3), complex(7)