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Diffstat (limited to 'man/man3/casin.3')
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diff --git a/man/man3/casin.3 b/man/man3/casin.3 new file mode 100644 index 0000000..95b308c --- /dev/null +++ b/man/man3/casin.3 @@ -0,0 +1,57 @@ +'\" t +.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) +.\" +.\" SPDX-License-Identifier: GPL-1.0-or-later +.\" +.TH casin 3 2024-05-02 "Linux man-pages (unreleased)" +.SH NAME +casin, casinf, casinl \- complex arc sine +.SH LIBRARY +Math library +.RI ( libm ", " \-lm ) +.SH SYNOPSIS +.nf +.B #include <complex.h> +.P +.BI "double complex casin(double complex " z ); +.BI "float complex casinf(float complex " z ); +.BI "long double complex casinl(long double complex " z ); +.fi +.SH DESCRIPTION +These functions calculate the complex arc sine of +.IR z . +If \fIy\ =\ casin(z)\fP, then \fIz\ =\ csin(y)\fP. +The real part of +.I y +is chosen in the interval [\-pi/2,pi/2]. +.P +One has: +.P +.nf + casin(z) = \-i clog(iz + 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 casin (), +.BR casinf (), +.BR casinl () +T} Thread safety MT-Safe +.TE +.SH STANDARDS +C11, POSIX.1-2008. +.SH HISTORY +glibc 2.1. +C99, POSIX.1-2001. +.SH SEE ALSO +.BR clog (3), +.BR csin (3), +.BR complex (7) |