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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