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CATANH(3)                  Linux Programmer's Manual                 CATANH(3)
NAME
       catanh, catanhf, catanhl - complex arc tangents hyperbolic
SYNOPSIS
       #include <complex.h>
       double complex catanh(double complex z);
       float complex catanhf(float complex z);
       long double complex catanhl(long double complex z);
       Link with -lm.
DESCRIPTION
       These  functions calculate the complex arc hyperbolic tangent of z.  If
       y = catanh(z), then z = ctanh(y).  The imaginary part of y is chosen in
       the interval [-pi/2,pi/2].
       One has:
           catanh(z) = 0.5 * (clog(1 + z) - clog(1 - z))
VERSIONS
       These functions first appeared in glibc in version 2.1.
ATTRIBUTES
       For   an   explanation   of   the  terms  used  in  this  section,  see
       attributes(7).
       +-------------------------------+---------------+---------+
       |Interface                      | Attribute     | Value   |
       +-------------------------------+---------------+---------+
       |catanh(), catanhf(), catanhl() | Thread safety | MT-Safe |
       +-------------------------------+---------------+---------+
CONFORMING TO
       C99, POSIX.1-2001, POSIX.1-2008.
EXAMPLE
       /* 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;
           if (argc != 3) {
               fprintf(stderr, "Usage: %s <real> <imag>\n", argv[0]);
               exit(EXIT_FAILURE);
           }
           z = atof(argv[1]) + atof(argv[2]) * I;
           c = catanh(z);
           printf("catanh() = %6.3f %6.3f*i\n", creal(c), cimag(c));
           f = 0.5 * (clog(1 + z) - clog(1 - z));
           printf("formula  = %6.3f %6.3f*i\n", creal(f2), cimag(f2));
           exit(EXIT_SUCCESS);
       }
SEE ALSO
       atanh(3), cabs(3), cimag(3), ctanh(3), complex(7)
COLOPHON
       This page is part of release 4.15 of the Linux  man-pages  project.   A
       description  of  the project, information about reporting bugs, and the
       latest    version    of    this    page,    can     be     found     at
       https://www.kernel.org/doc/man-pages/.
                                  2015-04-19                         CATANH(3)