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cacos(3) [plan9 man page]

CACOS(3)						     Linux Programmer's Manual							  CACOS(3)

NAME
cacos, cacosf, cacosl - complex arc cosine SYNOPSIS
#include <complex.h> double complex cacos(double complex z); float complex cacosf(float complex z); long double complex cacosl(long double complex z); Link with -lm. DESCRIPTION
These functions calculate the complex arc cosine of z. If y = cacos(z), then z = ccos(y). The real part of y is chosen in the interval [0,pi]. One has: cacos(z) = -i * clog(z + i * csqrt(1 - z * z)) 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 | +-----------------------------+---------------+---------+ |cacos(), cacosf(), cacosl() | 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; double complex i = I; if (argc != 3) { fprintf(stderr, "Usage: %s <real> <imag> ", argv[0]); exit(EXIT_FAILURE); } z = atof(argv[1]) + atof(argv[2]) * I; c = cacos(z); printf("cacos() = %6.3f %6.3f*i ", creal(c), cimag(c)); f = -i * clog(z + i * csqrt(1 - z * z)); printf("formula = %6.3f %6.3f*i ", creal(f), cimag(f)); exit(EXIT_SUCCESS); } SEE ALSO
ccos(3), clog(3), complex(7) COLOPHON
This page is part of release 4.15 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 CACOS(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
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> ", argv[0]); exit(EXIT_FAILURE); } z = atof(argv[1]) + atof(argv[2]) * I; c = cacosh(z); printf("cacosh() = %6.3f %6.3f*i ", creal(c), cimag(c)); f = 2 * clog(csqrt((z + 1)/2) + csqrt((z - 1)/2)); printf("formula = %6.3f %6.3f*i ", 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 4.15 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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