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diff --git a/man3/casinh.3 b/man3/casinh.3 new file mode 100644 index 0000000..64cc89e --- /dev/null +++ b/man3/casinh.3 @@ -0,0 +1,62 @@ +'\" t +.\" Copyright 2002 Walter Harms (walter.harms@informatik.uni-oldenburg.de) +.\" +.\" SPDX-License-Identifier: GPL-1.0-or-later +.\" +.TH casinh 3 2023-07-20 "Linux man-pages 6.05.01" +.SH NAME +casinh, casinhf, casinhl \- complex arc sine hyperbolic +.SH LIBRARY +Math library +.RI ( libm ", " \-lm ) +.SH SYNOPSIS +.nf +.B #include <complex.h> +.PP +.BI "double complex casinh(double complex " z ); +.BI "float complex casinhf(float complex " z ); +.BI "long double complex casinhl(long double complex " z ); +.fi +.SH DESCRIPTION +These functions calculate the complex arc hyperbolic sine of +.IR z . +If \fIy\~=\~casinh(z)\fP, then \fIz\~=\~csinh(y)\fP. +The imaginary part of +.I y +is chosen in the interval [\-pi/2,pi/2]. +.PP +One has: +.PP +.in +4n +.EX +casinh(z) = clog(z + csqrt(z * z + 1)) +.EE +.in +.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 casinh (), +.BR casinhf (), +.BR casinhl () +T} Thread safety MT-Safe +.TE +.sp 1 +.SH STANDARDS +C11, POSIX.1-2008. +.SH HISTORY +glibc 2.1. +C99, POSIX.1-2001. +.SH SEE ALSO +.BR asinh (3), +.BR cabs (3), +.BR cimag (3), +.BR csinh (3), +.BR complex (7) |