1.\" $OpenBSD: cacosh.3,v 1.2 2013/06/05 03:40:26 tedu Exp $ 2.\" 3.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org> 4.\" 5.\" Permission to use, copy, modify, and distribute this software for any 6.\" purpose with or without fee is hereby granted, provided that the above 7.\" copyright notice and this permission notice appear in all copies. 8.\" 9.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES 10.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF 11.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR 12.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES 13.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN 14.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF 15.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 16.\" 17.Dd $Mdocdate: June 5 2013 $ 18.Dt CACOSH 3 19.Os 20.Sh NAME 21.Nm cacosh , 22.Nm cacoshf , 23.Nm cacoshl 24.Nd complex inverse hyperbolic cosine 25.Sh SYNOPSIS 26.In complex.h 27.Ft double complex 28.Fn cacosh "double complex z" 29.Ft float complex 30.Fn cacoshf "float complex z" 31.Ft long double complex 32.Fn cacoshl "long double complex z" 33.Sh DESCRIPTION 34The 35.Fn cacosh , 36.Fn cacoshf 37and 38.Fn cacoshl 39functions compute the complex inverse hyperbolic cosine of 40.Fa z . 41.Pp 42For all complex floating-point numbers 43.Fa z , 44.Bd -literal -offset indent 45cacosh(z) = i acos(z). 46.Ed 47.Sh RETURN VALUES 48The 49.Fn cacosh , 50.Fn cacoshf 51and 52.Fn cacoshl 53functions return the complex inverse hyperbolic cosine of 54.Fa z 55with imaginary part in the interval 56.Bq -Pi, Pi , 57and non-negative real part. 58.Sh SEE ALSO 59.Xr casinh 3 , 60.Xr catanh 3 61.Sh STANDARDS 62The 63.Fn cacosh , 64.Fn cacoshf 65and 66.Fn cacoshl 67functions conform to 68.St -isoC-99 . 69