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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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