catanh(3) — Linux manual page

catanh(3)                Library Functions Manual               catanh(3)

NAME         top

       catanh, catanhf, catanhl - complex arc tangents hyperbolic

LIBRARY         top

       Math library (libm, -lm)

SYNOPSIS         top

       #include <complex.h>

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

DESCRIPTION         top

       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))

ATTRIBUTES         top

       For an explanation of the terms used in this section, see
       attributes(7).
       ┌──────────────────────────────────────┬───────────────┬─────────┐
       │ Interface                            │ Attribute     │ Value   │
       ├──────────────────────────────────────┼───────────────┼─────────┤
       │ catanh(), catanhf(), catanhl()       │ Thread safety │ MT-Safe │
       └──────────────────────────────────────┴───────────────┴─────────┘

STANDARDS         top

       C11, POSIX.1-2008.

HISTORY         top

       glibc 2.1.  C99, POSIX.1-2001.

EXAMPLES         top

       /* 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);
       }

SEE ALSO         top

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

COLOPHON         top

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Linux man-pages 6.10            2024-07-23                      catanh(3)

Pages that refer to this page: atanh(3),  ctanh(3),  complex(7)

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