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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
-.\" $FreeBSD: src/lib/msun/man/remainder.3,v 1.4 2005/11/24 09:25:10 joel Exp $
-.\"
-.Dd March 24, 2005
-.Dt REMAINDER 3
-.Os
-.Sh NAME
-.Nm remainder ,
-.Nm remainderf ,
-.Nm remquo ,
-.Nm remquof
-.Nd minimal residue functions
-.Sh LIBRARY
-.Lb libm
-.Sh SYNOPSIS
-.In math.h
-.Ft double
-.Fn remainder "double x" "double y"
-.Ft float
-.Fn remainderf "float x" "float y"
-.Ft double
-.Fn remquo "double x" "double y" "int *quo"
-.Ft float
-.Fn remquof "float x" "float y" "int *quo"
-.Sh DESCRIPTION
-.Fn remainder ,
-.Fn remainderf ,
-.Fn remquo ,
-and
-.Fn remquof
-return 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 attempting to take the remainder when
-.Fa y
-is 0 or
-.Fa x
-is \*(Pm\*(If is an invalid operation that produces a \*(Na.
-.Pp
-The
-.Fn remquo
-and
-.Fn remquof
-functions also store the last
-.Va k
-bits of
-.Fa n
-in the location pointed to by
-.Fa quo ,
-provided that
-.Fa n
-exists.
-The number of bits
-.Va k
-is platform-specific, but is guaranteed to be at least 3.
-.Sh SEE ALSO
-.Xr fmod 3 ,
-.Xr ieee 3 ,
-.Xr math 3
-.Sh STANDARDS
-The
-.Fn remainder ,
-.Fn remainderf ,
-.Fn remquo ,
-and
-.Fn remquof
-routines conform to
-.St -isoC-99 .
-The remainder is as defined in
-.St -ieee754 .
-.Sh HISTORY
-The
-.Fn remainder
-and
-.Fn remainderf
-functions appeared in
-.Bx 4.3
-and
-.Fx 2.0 ,
-respectively.
-The
-.Fn remquo
-and
-.Fn remquof
-functions were added in
-.Fx 6.0 .