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Linux and UNIX Man Pages

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

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
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) 2019-03-06 CACOSH(3)

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