.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de)
.\" and Copyright (C) 2011 Michael Kerrisk <mtk.manpages@gamil.com>
.\"
.\" %%%LICENSE_START(GPL_NOVERSION_ONELINE)
.\" Distributed under GPL
.\" %%%LICENSE_END
.\"
.TH CATAN 3 2011-09-15 "" "Linux Programmer's Manual"
.SH NAME
catan, catanf, catanl \- complex arc tangents
.SH SYNOPSIS
.B #include <complex.h>
.sp
.BI "double complex catan(double complex " z );
.br
.BI "float complex catanf(float complex " z );
.br
.BI "long double complex catanl(long double complex " z );
.sp
Link with \fI\-lm\fP.
.SH DESCRIPTION
The
.BR catan ()
function calculates the complex arc tangent of
.IR z .
If \fIy\ =\ catan(z)\fP, then \fIz\ =\ ctan(y)\fP.
The real part of y is chosen in the interval [\-pi/2,pi/2].
.LP
One has:
.nf

    catan(z) = (clog(1 + i * z) \- clog(1 \- i * z)) / (2 * i)
.fi
.SH VERSIONS
These functions first appeared in glibc in version 2.1.
.SH CONFORMING TO
C99.
.SH EXAMPLE
.nf
/* Link with "\-lm" */

#include <complex.h>
#include <stdlib.h>
#include <unistd.h>
#include <stdio.h>

int
main(int argc, char *argv[])
{
    double complex z, c, f;
    double complex i = I;

    if (argc != 3) {
        fprintf(stderr, "Usage: %s <real> <imag>\\n", argv[0]);
        exit(EXIT_FAILURE);
    }

    z = atof(argv[1]) + atof(argv[2]) * I;

    c = catan(z);
    printf("catan() = %6.3f %6.3f*i\\n", creal(c), cimag(c));

    f = (clog(1 + i * z) \- clog(1 \- i * z)) / (2 * i);
    printf("formula = %6.3f %6.3f*i\\n", creal(f2), cimag(f2));

    exit(EXIT_SUCCESS);
}
.fi
.SH SEE ALSO
.BR ccos (3),
.BR clog (3),
.BR ctan (3),
.BR complex (7)
.SH COLOPHON
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.I man-pages
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