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Linux 2.6 - man page for cacoshf (linux section 3)

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CACOSH(3)			    Linux Programmer's Manual				CACOSH(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
       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 3.55 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)
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