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-rw-r--r-- | man3/cacos.3 | 94 |
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diff --git a/man3/cacos.3 b/man3/cacos.3 new file mode 100644 index 0000000..aebff0f --- /dev/null +++ b/man3/cacos.3 @@ -0,0 +1,94 @@ +'\" 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 cacos 3 2023-07-20 "Linux man-pages 6.05.01" +.SH NAME +cacos, cacosf, cacosl \- complex arc cosine +.SH LIBRARY +Math library +.RI ( libm ", " \-lm ) +.SH SYNOPSIS +.nf +.B #include <complex.h> +.PP +.BI "double complex cacos(double complex " z ); +.BI "float complex cacosf(float complex " z ); +.BI "long double complex cacosl(long double complex " z ); +.fi +.SH DESCRIPTION +These functions calculate the complex arc cosine of +.IR z . +If \fIy\ =\ cacos(z)\fP, then \fIz\ =\ ccos(y)\fP. +The real part of +.I y +is chosen in the interval [0,pi]. +.PP +One has: +.PP +.nf + cacos(z) = \-i * clog(z + i * csqrt(1 \- z * z)) +.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 cacos (), +.BR cacosf (), +.BR cacosl () +T} Thread safety MT-Safe +.TE +.sp 1 +.SH STANDARDS +C11, POSIX.1-2008. +.SH HISTORY +glibc 2.1. +C99, POSIX.1-2001. +.SH EXAMPLES +.\" SRC BEGIN (cacos.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; + double complex i = I; +\& + if (argc != 3) { + fprintf(stderr, "Usage: %s <real> <imag>\en", argv[0]); + exit(EXIT_FAILURE); + } +\& + z = atof(argv[1]) + atof(argv[2]) * I; +\& + c = cacos(z); +\& + printf("cacos() = %6.3f %6.3f*i\en", creal(c), cimag(c)); +\& + f = \-i * clog(z + i * csqrt(1 \- z * z)); +\& + printf("formula = %6.3f %6.3f*i\en", creal(f), cimag(f)); +\& + exit(EXIT_SUCCESS); +} +.EE +.\" SRC END +.SH SEE ALSO +.BR ccos (3), +.BR clog (3), +.BR complex (7) |