catanh(3)                  Library Functions Manual                  catanh(3)

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       catanh, catanhf, catanhl - <?><?><?><?><?><?><?><?><?><?>
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       <?><?><?><?><?><?><?><?><?><?> (libm, -lm)

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       #include <complex.h>

       double complex catanh(double complex z);
       float complex catanhf(float complex z);
       long double complex catanhl(long double complex z);

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       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].

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           catanh(z) = 0.5 * (clog(1 + z) - clog(1 - z))

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       +----------------------------+----------------------------------------------------------+--------------------------+
       |<?><?><?><?><?><?><?><?><?> | <?><?><?><?><?><?><?>                                    | <?><?><?><?><?><?><?><?> |
       +----------------------------+----------------------------------------------------------+--------------------------+
       |catanh(), catanhf(),        | <?><?><?><?><?><?><?><?><?><?><?><?> <?> <?><?><?><?><?> | MT-Safe                  |
       |catanhl()                   |                                                          |                          |
       +----------------------------+----------------------------------------------------------+--------------------------+
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       C11, POSIX.1-2008.

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       glibc 2.1.  C99, POSIX.1-2001.

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       /* Link with "-lm" */

       #include <complex.h>
       #include <stdio.h>
       #include <stdlib.h>
       #include <unistd.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(f), cimag(f));

           exit(EXIT_SUCCESS);
       }

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       atanh(3), cabs(3), cimag(3), ctanh(3), complex(7)

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       <?><?><?><?><?><?><?><?><?><?>(<?>) Azamat Hackimov
       <azamat.hackimov@gmail.com>, Dmitriy S. Seregin <dseregin@59.ru>,
       Dmitry Bolkhovskikh <d20052005@yandex.ru>, Katrin Kutepova
       <blackkatelv@gmail.com>, Yuri Kozlov <yuray@komyakino.ru>, <?><?><?><?>
       <?><?><?><?><?><?> <pavia00@gmail.com> <?> Kirill Rekhov
       <krekhov.dev@gmail.com>

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       <<debian-l10n-russian@lists.debian.org>>.

<?><?><?><?><?><?><?><?><?><?> <?><?><?><?><?><?><?><?> Linux 6.9.1
                           15 <?><?><?><?> 2024 <?>.                 catanh(3)