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);
 
[Note] Note

Link with −lm.

DESCRIPTION

The catanh() function calculates 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.

CONFORMING TO

C99.

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 3.52 of the Linux man-pages project. A description of the project, and information about reporting bugs, can be found at http://www.kernel.org/doc/man−pages/.


  Copyright 2002 Walter Harms (walter.harmsinformatik.uni-oldenburg.de)
and Copyright (C) 2011 Michael Kerrisk <mtk.manpagesgamil.com>

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