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cacoshf(3)


NAME

   cacosh, cacoshf, cacoshl - complex arc hyperbolic cosine

SYNOPSIS

   #include <complex.h>

   double complex cacosh(double complex z);
   float complex cacoshf(float complex z);
   long double complex cacoshl(long double complex z);

   Link with -lm.

DESCRIPTION

   These  functions  calculate the complex arc hyperbolic cosine of z.  If
   y = cacosh(z), then z = ccosh(y).  The imaginary part of y is chosen in
   the interval [-pi,pi].  The real part of y is chosen nonnegative.

   One has:

       cacosh(z) = 2 * clog(csqrt((z + 1) / 2) + csqrt((z - 1) / 2))

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   │
   ├───────────────────────────────┼───────────────┼─────────┤
   │cacosh(), cacoshf(), cacoshl() │ 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 = cacosh(z);
       printf("cacosh() = %6.3f %6.3f*i\n", creal(c), cimag(c));

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

       exit(EXIT_SUCCESS);
   }

SEE ALSO

   acosh(3), cabs(3), ccosh(3), cimag(3), complex(7)

COLOPHON

   This page is part of release 4.09 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                         CACOSH(3)



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