SIMPLE SOLUTIONS

CACOSH, CACOSHF, CACOSHL - reference manual online

Complex arc hyperbolic cosine.

Chapter
2015-04-19
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)
COLOPHON This page is part of release 4.04 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 http://www.kernel.org/doc/man-pages/.
2015-04-19 CACOSH(3)
This manual Reference Other manuals
cacosh(3) referred by acosh(3) | ccosh(3) | complex(7)
refer to acosh(3) | attributes(7) | cabs(3) | ccosh(3) | cimag(3) | complex(7)