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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-15 19:40:15 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-15 19:40:15 +0000 |
commit | 399644e47874bff147afb19c89228901ac39340e (patch) | |
tree | 1c4c0b733f4c16b5783b41bebb19194a9ef62ad1 /man3/cacosh.3 | |
parent | Initial commit. (diff) | |
download | manpages-399644e47874bff147afb19c89228901ac39340e.tar.xz manpages-399644e47874bff147afb19c89228901ac39340e.zip |
Adding upstream version 6.05.01.upstream/6.05.01
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'man3/cacosh.3')
-rw-r--r-- | man3/cacosh.3 | 96 |
1 files changed, 96 insertions, 0 deletions
diff --git a/man3/cacosh.3 b/man3/cacosh.3 new file mode 100644 index 0000000..55d1d47 --- /dev/null +++ b/man3/cacosh.3 @@ -0,0 +1,96 @@ +'\" t +.\" Copyright 2002 Walter Harms(walter.harms@informatik.uni-oldenburg.de) +.\" and Copyright (C) 2011 Michael Kerrisk <mtk.manpages@gmail.com> +.\" +.\" SPDX-License-Identifier: GPL-1.0-or-later +.\" +.TH cacosh 3 2023-07-20 "Linux man-pages 6.05.01" +.SH NAME +cacosh, cacoshf, cacoshl \- complex arc hyperbolic cosine +.SH LIBRARY +Math library +.RI ( libm ", " \-lm ) +.SH SYNOPSIS +.nf +.B #include <complex.h> +.PP +.BI "double complex cacosh(double complex " z ); +.BI "float complex cacoshf(float complex " z ); +.BI "long double complex cacoshl(long double complex " z ); +.fi +.SH DESCRIPTION +These functions calculate the complex arc hyperbolic cosine of +.IR z . +If \fIy\ =\ cacosh(z)\fP, then \fIz\ =\ ccosh(y)\fP. +The imaginary part of +.I y +is chosen in the interval [\-pi,pi]. +The real part of +.I y +is chosen nonnegative. +.PP +One has: +.PP +.nf + cacosh(z) = 2 * clog(csqrt((z + 1) / 2) + csqrt((z \- 1) / 2)) +.fi +.SH ATTRIBUTES +For an explanation of the terms used in this section, see +.BR attributes (7). +.TS +allbox; +lbx lb lb +l l l. +Interface Attribute Value +T{ +.na +.nh +.BR cacosh (), +.BR cacoshf (), +.BR cacoshl () +T} Thread safety MT-Safe +.TE +.sp 1 +.SH STANDARDS +C11, POSIX.1-2008. +.SH HISTORY +C99, POSIX.1-2001. +glibc 2.1. +.SH EXAMPLES +.\" SRC BEGIN (cacosh.c) +.EX +/* Link with "\-lm" */ +\& +#include <complex.h> +#include <stdio.h> +#include <stdlib.h> +#include <unistd.h> +\& +int +main(int argc, char *argv[]) +{ + double complex z, c, f; +\& + if (argc != 3) { + fprintf(stderr, "Usage: %s <real> <imag>\en", argv[0]); + exit(EXIT_FAILURE); + } +\& + z = atof(argv[1]) + atof(argv[2]) * I; +\& + c = cacosh(z); + printf("cacosh() = %6.3f %6.3f*i\en", creal(c), cimag(c)); +\& + f = 2 * clog(csqrt((z + 1)/2) + csqrt((z \- 1)/2)); + printf("formula = %6.3f %6.3f*i\en", creal(f), cimag(f)); +\& + exit(EXIT_SUCCESS); +} +.EE +.\" SRC END +.SH SEE ALSO +.BR acosh (3), +.BR cabs (3), +.BR ccosh (3), +.BR cimag (3), +.BR complex (7) |