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

       The   cacosh()   function   calculates  the  complex  arc  hyperpolic  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.

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 = 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 3.54 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/.

                                            2011-09-15                                  CACOSH(3)