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+.\" Copyright (c) 1985, 1991 Regents of the University of California.
+.\" All rights reserved.
+.\"
+.\" Redistribution and use in source and binary forms, with or without
+.\" modification, are permitted provided that the following conditions
+.\" are met:
+.\" 1. Redistributions of source code must retain the above copyright
+.\"    notice, this list of conditions and the following disclaimer.
+.\" 2. Redistributions in binary form must reproduce the above copyright
+.\"    notice, this list of conditions and the following disclaimer in the
+.\"    documentation and/or other materials provided with the distribution.
+.\" 3. All advertising materials mentioning features or use of this software
+.\"    must display the following acknowledgement:
+.\"	This product includes software developed by the University of
+.\"	California, Berkeley and its contributors.
+.\" 4. Neither the name of the University nor the names of its contributors
+.\"    may be used to endorse or promote products derived from this software
+.\"    without specific prior written permission.
+.\"
+.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+.\" ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+.\" SUCH DAMAGE.
+.\"
+.\"     from: @(#)ieee.3	6.4 (Berkeley) 5/6/91
+.\"	$Id: ieee.3,v 1.7 1994/03/10 18:15:07 jtc Exp $
+.\"
+.Dd Feb 25, 1994
+.Dt IEEE 3
+.Os
+.Sh NAME
+.Nm copysign ,
+.Nm finite ,
+.Nm ilogb ,
+.Nm nextafter ,
+.Nm remainder ,
+.Nm scalbn
+.Nd Functions for IEEE arithmetic
+.Sh SYNOPSIS
+.Fd #include <math.h>
+.Ft double 
+.Fn copysign "double x" "double y"
+.Ft int 
+.Fn finite "double x"
+.Ft int
+.Fn ilogb "double x"
+.Ft double 
+.Fn nextafter "double x" "double y"
+.Ft double
+.Fn remainder "double x" "double y"
+.Ft double 
+.Fn scalbn "double x" "int n"
+.Sh DESCRIPTION
+These functions are required or recommended by 
+.St -ieee754 .
+.Pp
+.Fn copysign
+returns
+.Fa x
+with its sign changed to
+.Fa y Ns 's.
+.Pp
+.Fn finite
+returns the value 1 just when
+\-\*(If \*(Lt
+.Fa x
+\*(Lt +\*(If;
+otherwise a
+zero is returned
+(when
+.Pf \\*(Ba Ns Fa x Ns \\*(Ba
+= \*(If or
+.Fa x
+is \*(Na
+.Pp
+.Fn ilogb
+returns
+.Fa x Ns 's exponent
+.Fa n ,
+in integer format.
+.Fn ilogb \*(Pm\*(If 
+returns 
+.Dv INT_MAX
+and
+.Fn ilogb 0
+returns 
+.Dv INT_MIN .
+.Pp
+.Fn nextafter 
+returns the next machine representable number from 
+.Fa x
+in direction
+.Fa y .
+.Pp
+.Fn remainder
+returns the remainder
+.Fa r
+:=
+.Fa x
+\-
+.Fa n\(**y
+where
+.Fa n
+is the integer nearest the exact value of
+.Bk -words
+.Fa x Ns / Ns Fa y ;
+.Ek
+moreover if
+.Pf \\*(Ba Fa n
+\-
+.Sm off
+.Fa x No / Fa y No \\*(Ba
+.Sm on
+=
+1/2
+then
+.Fa n
+is even.  Consequently
+the remainder is computed exactly and
+.Sm off
+.Pf \\*(Ba Fa r No \\*(Ba
+.Sm on
+\*(Le
+.Sm off
+.Pf \\*(Ba Fa y No \\*(Ba/2.
+.Sm on
+But
+.Fn remainder x 0
+and
+.Fn remainder \*(If 0
+are invalid operations that produce a \*(Na.
+.Pp
+.Fn scalbn
+returns
+.Fa x Ns \(**(2** Ns Fa n )
+computed by exponent manipulation.
+.Sh SEE ALSO
+.Xr math 3
+.Sh HISTORY
+The
+.Nm ieee
+functions appeared in 
+.Bx 4.3 .
+.Sh STANDARDS
+.St -ieee754