.\" Distributed under GPL
.\" %%%LICENSE_END
.\"
-.TH CARG 3 2015-03-02 "" "Linux Programmer's Manual"
+.TH CARG 3 2017-09-15 "" "Linux Programmer's Manual"
.SH NAME
carg, cargf, cargl \- calculate the complex argument
.SH SYNOPSIS
.B #include <complex.h>
-.sp
+.PP
.BI "double carg(double complex " z ");"
.br
.BI "float cargf(float complex " z ");"
.br
.BI "long double cargl(long double complex " z ");"
-.sp
+.PP
Link with \fI\-lm\fP.
.SH DESCRIPTION
+These functions calculate the complex argument (also called phase angle) of
+.IR z ,
+with a branch cut along the negative real axis.
+.PP
A complex number can be described by two real coordinates.
One may use rectangular coordinates and gets
-
+.PP
.nf
z = x + I * y
.fi
-
+.PP
where
.IR "x\ =\ creal(z)"
and
.IR "y\ =\ cimag(z)" .
-.LP
+.PP
Or one may use polar coordinates and gets
+.PP
.nf
-
z = r * cexp(I * a)
-
.fi
+.PP
where
.IR "r\ =\ cabs(z)"
is the "radius", the "modulus", the absolute value of
.IR "a\ =\ carg(z)"
is the "phase angle", the argument of
.IR z .
-.LP
+.PP
One has:
+.PP
.nf
-
tan(carg(z)) = cimag(z) / creal(z)
.fi
.SH RETURN VALUE
T} Thread safety MT-Safe
.TE
.SH CONFORMING TO
-C99, POSIX.1-2001.
+C99, POSIX.1-2001, POSIX.1-2008.
.SH SEE ALSO
.BR cabs (3),
.BR complex (7)