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1.1 root 1: .\" Copyright (c) 1985 Regents of the University of California.
2: .\" All rights reserved. The Berkeley software License Agreement
3: .\" specifies the terms and conditions for redistribution.
4: .\"
5: .\" @(#)asinh.3 6.2 (Berkeley) 5/12/86
6: .\"
7: .TH ASINH 3M "May 12, 1986"
8: .UC 6
9: .ds up \fIulp\fR
10: .SH NAME
11: asinh, acosh, atanh \- inverse hyperbolic functions
12: .SH SYNOPSIS
13: .nf
14: .B #include <math.h>
15: .PP
16: .B double asinh(x)
17: .B double x;
18: .PP
19: .B double acosh(x)
20: .B double x;
21: .PP
22: .B double atanh(x)
23: .B double x;
24: .fi
25: .SH DESCRIPTION
26: These functions compute the designated inverse hyperbolic functions for real
27: arguments.
28: .SH ERROR (due to Roundoff etc.)
29: These functions inherit much of their error from log1p described in
30: exp(3M). On a VAX, acosh is accurate to about 3 \*(ups,
31: asinh and atanh to about 2 \*(ups.
32: An \*(up is one \fIU\fRnit in the \fIL\fRast \fIP\fRlace carried.
33: .SH DIAGNOSTICS
34: Acosh returns the reserved operand on a VAX if the argument is less than 1.
35: .PP
36: Atanh returns the reserved operand on a VAX if the argument has absolute
37: value bigger than or equal to 1.
38: .SH SEE ALSO
39: math(3M), exp(3M), infnan(3M)
40: .SH AUTHOR
41: W. Kahan, Kwok\-Choi Ng
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