66 lines
1.6 KiB
Groff
66 lines
1.6 KiB
Groff
.\" $OpenBSD: csinh.3,v 1.2 2013/06/05 03:40:26 tedu Exp $
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.\"
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.\" Copyright (c) 2011 Martynas Venckus <martynas@openbsd.org>
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.\"
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.\" Permission to use, copy, modify, and distribute this software for any
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.\" purpose with or without fee is hereby granted, provided that the above
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.\" copyright notice and this permission notice appear in all copies.
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.\"
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.\" THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
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.\" WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
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.\" MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
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.\" ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
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.\" WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
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.\" ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
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.\" OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
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.\"
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.Dd $Mdocdate: June 5 2013 $
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.Dt CSINH 3
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.Os
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.Sh NAME
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.Nm csinh ,
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.Nm csinhf ,
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.Nm csinhl
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.Nd complex hyperbolic sine
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.Sh SYNOPSIS
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.In complex.h
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.Ft double complex
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.Fn csinh "double complex z"
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.Ft float complex
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.Fn csinhf "float complex z"
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.Ft long double complex
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.Fn csinhl "long double complex z"
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.Sh DESCRIPTION
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The
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.Fn csinh ,
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.Fn csinhf
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and
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.Fn csinhl
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functions compute the complex hyperbolic sine of
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.Fa z .
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.Pp
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For all complex floating-point numbers
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.Fa z ,
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.Bd -literal -offset indent
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csinh(z) = (cexp(z) - cexp(-z)) / 2.
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.Ed
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.Sh RETURN VALUES
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The
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.Fn csinh ,
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.Fn csinhf
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and
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.Fn csinhl
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functions return the complex hyperbolic sine of
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.Fa z .
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.Sh SEE ALSO
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.Xr ccosh 3 ,
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.Xr ctanh 3
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.Sh STANDARDS
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The
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.Fn csinh ,
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.Fn csinhf
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and
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.Fn csinhl
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functions conform to
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.St -isoC-99 .
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