1.\" Copyright (c) 1985, 1991 Regents of the University of California. 2.\" All rights reserved. 3.\" 4.\" Redistribution and use in source and binary forms, with or without 5.\" modification, are permitted provided that the following conditions 6.\" are met: 7.\" 1. Redistributions of source code must retain the above copyright 8.\" notice, this list of conditions and the following disclaimer. 9.\" 2. Redistributions in binary form must reproduce the above copyright 10.\" notice, this list of conditions and the following disclaimer in the 11.\" documentation and/or other materials provided with the distribution. 12.\" 3. All advertising materials mentioning features or use of this software 13.\" must display the following acknowledgement: 14.\" This product includes software developed by the University of 15.\" California, Berkeley and its contributors. 16.\" 4. Neither the name of the University nor the names of its contributors 17.\" may be used to endorse or promote products derived from this software 18.\" without specific prior written permission. 19.\" 20.\" THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND 21.\" ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 22.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 23.\" ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE 24.\" FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 25.\" DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 26.\" OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 27.\" HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 28.\" LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 29.\" OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 30.\" SUCH DAMAGE. 31.\" 32.\" from: @(#)ieee.3 6.4 (Berkeley) 5/6/91 33.\" $FreeBSD$ 34.\" 35.Dd January 26, 2005 36.Dt REMAINDER 3 37.Os 38.Sh NAME 39.Nm remainder , 40.Nm remainderf 41.Nd minimal residue functions 42.Sh LIBRARY 43.Lb libm 44.Sh SYNOPSIS 45.In math.h 46.Ft double 47.Fn remainder "double x" "double y" 48.Ft float 49.Fn remainderf "float x" "float y" 50.Sh DESCRIPTION 51.Fn remainder 52and 53.Fn remainderf 54return the remainder 55.Fa r 56:= 57.Fa x 58\- 59.Fa n\(**y 60where 61.Fa n 62is the integer nearest the exact value of 63.Bk -words 64.Fa x Ns / Ns Fa y ; 65.Ek 66moreover if 67.Pf \\*(Ba Fa n 68\- 69.Sm off 70.Fa x No / Fa y No \\*(Ba 71.Sm on 72= 731/2 74then 75.Fa n 76is even. 77Consequently 78the remainder is computed exactly and 79.Sm off 80.Pf \\*(Ba Fa r No \\*(Ba 81.Sm on 82\*(Le 83.Sm off 84.Pf \\*(Ba Fa y No \\*(Ba/2 . 85.Sm on 86But 87.Fn remainder x 0 88and 89.Fn remainder \*(If 0 90are invalid operations that produce a \*(Na. 91.Sh SEE ALSO 92.Xr fmod 3 , 93.Xr ieee 3 , 94.Xr math 3 95.Sh STANDARDS 96The 97.Fn remainder 98and 99.Fn remainderf 100routines conform to 101.St -isoC-99 102and 103.St -ieee754 . 104.Sh HISTORY 105The 106.Fn remainder 107and 108.Fn remainderf 109functions appeared in 110.Bx 4.3 111and 112.Fx 2.0 , 113respectively. 114