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- s/modfied/modified/ - s/minimun/minimum/ While here, fix some mandoc warnings: - whitespace at end of input line - unusual Xr punctuation - missing comma before name Obtained from: NetBSD MFC after: 5 days
112 lines
2.9 KiB
Groff
112 lines
2.9 KiB
Groff
.\" Copyright (c) 2017 Steven G. Kargl <kargl@FreeBSD.org>
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.\" All rights reserved.
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.\"
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.\" Redistribution and use in source and binary forms, with or without
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.\" modification, are permitted provided that the following conditions
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.\" are met:
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.\" 1. Redistributions of source code must retain the above copyright
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.\" notice, this list of conditions and the following disclaimer.
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.\" 2. Redistributions in binary form must reproduce the above copyright
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.\" notice, this list of conditions and the following disclaimer in the
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.\" documentation and/or other materials provided with the distribution.
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.\"
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.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
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.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
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.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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.\" SUCH DAMAGE.
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.\"
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.\" $FreeBSD$
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.\"
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.Dd April 1, 2017
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.Dt COSPI 3
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.Os
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.Sh NAME
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.Nm cospi ,
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.Nm cospif ,
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.Nm cospil
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.Nd half\(encycle cosine functions
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.Sh LIBRARY
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.Lb libm
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.Sh SYNOPSIS
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.In math.h
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.Ft double
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.Fn cospi "double x"
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.Ft float
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.Fn cospif "float x"
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.Ft long double
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.Fn cospil "long double x"
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.Sh DESCRIPTION
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The
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.Fn cospi ,
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.Fn cospif ,
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and
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.Fn cospil
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functions compute the cosine of
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.Fa "\(*p \(mu x" .
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and measure angles in half-cycles.
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.Sh RETURN VALUES
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The
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.Fn cospi ,
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.Fn cospif ,
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and
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.Fn cospil
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functions returns
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.Fn cos "\(*p \(mu x" .
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If \*(Bax\*(Ba \*(Ge 2^(p - 1)
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where p is the floating\(enpoint precision of
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.Ar x ,
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then the returned value is 1 and it has no significance.
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.Sh SPECIAL VALUES
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.Bl -tag
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.It
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.Fn cospi \*(Pm0
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returns 1.
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.It
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.Fn cospi \*(Pmn/2
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returns 0 for positive integers
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.Ar n .
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.It
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.Fn cospi n
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returns 1 for even integers
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.Ar n .
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.It
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.Fn cospi n
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returns \-1 for odd integers
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.Ar n .
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.It
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.Fn cospi \*(Pm\(if
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return an \*(Na and raises an FE_INVALID exception.
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.It
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.Fn cospi \*(Na
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return an \*(Na and raises an FE_INVALID exception.
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.El
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.Sh SEE ALSO
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.Xr cos 3 ,
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.Xr fenv 3 ,
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.Xr math 3 ,
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.Xr sin 3 ,
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.Xr sinpi 3 ,
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.Xr tan 3 ,
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.Xr tanpi 3
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.Sh AUTHORS
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The half\(encycle trignometric functions were written by
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.An Steven G. Kargl Aq Mt kargl@FreeBSD.org .
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.Sh STANDARDS
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These functions conform to
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IEEE Std 754\(tm\(en2008 ,
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\(dqIEEE Standard for Floating-Point Arithmetic\(dq
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and to
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ISO/IEC TS 18661-4 ,
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\(dqInformation technology \(em Programming languages, their environments,
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and system software interfaces \(em Floating\(enpoint extensions for
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C\(dq \(em Part 4: Supplementary functions.
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