remainder.3 (c7392feeccfd2d71cb7751bd31c1483aa35a7633) remainder.3 (29bf6af8904f9833bbc9c0e5f2219f785defe550)
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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.
12.\" 4. Neither the name of the University nor the names of its contributors
13.\" may be used to endorse or promote products derived from this software
14.\" without specific prior written permission.
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18.\" IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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28.\" from: @(#)ieee.3 6.4 (Berkeley) 5/6/91
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17.\" may be used to endorse or promote products derived from this software
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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
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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
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30.\" SUCH DAMAGE.
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32.\" from: @(#)ieee.3 6.4 (Berkeley) 5/6/91
33.\" $FreeBSD$
34.\"
31.Dd March 30, 2008
35.Dd January 26, 2005
32.Dt REMAINDER 3
33.Os
34.Sh NAME
35.Nm remainder ,
36.Dt REMAINDER 3
37.Os
38.Sh NAME
39.Nm remainder ,
36.Nm remainderf ,
37.Nm remainderl ,
38.Nm remquo ,
39.Nm remquof ,
40.Nm remquol
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"
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.Ft long double
51.Fn remainderl "long double x" "long double y"
52.Ft double
53.Fn remquo "double x" "double y" "int *quo"
54.Ft float
55.Fn remquof "float x" "float y" "int *quo"
56.Ft long double
57.Fn remquol "long double x" "long double y" "int *quo"
58.Sh DESCRIPTION
50.Sh DESCRIPTION
59.Fn remainder ,
60.Fn remainderf ,
61.Fn remainderl ,
62.Fn remquo ,
63.Fn remquof ,
51.Fn remainder
64and
52and
65.Fn remquol
53.Fn remainderf
66return the remainder
67.Fa r
68:=
69.Fa x
70\-
71.Fa n\(**y
72where
73.Fa n

--- 16 unchanged lines hidden (view full) ---

90the remainder is computed exactly and
91.Sm off
92.Pf \\*(Ba Fa r No \\*(Ba
93.Sm on
94\*(Le
95.Sm off
96.Pf \\*(Ba Fa y No \\*(Ba/2 .
97.Sm on
54return the remainder
55.Fa r
56:=
57.Fa x
58\-
59.Fa n\(**y
60where
61.Fa n

--- 16 unchanged lines hidden (view full) ---

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
98But attempting to take the remainder when
99.Fa y
100is 0 or
101.Fa x
102is \*(Pm\*(If is an invalid operation that produces a \*(Na.
103.Pp
104The
105.Fn remquo ,
106.Fn remquof ,
86But
87.Fn remainder x 0
107and
88and
108.Fn remquol
109functions also store the last
110.Va k
111bits of
112.Fa n
113in the location pointed to by
114.Fa quo ,
115provided that
116.Fa n
117exists.
118The number of bits
119.Va k
120is platform-specific, but is guaranteed to be at least 3.
89.Fn remainder \*(If 0
90are invalid operations that produce a \*(Na.
121.Sh SEE ALSO
122.Xr fmod 3 ,
123.Xr ieee 3 ,
124.Xr math 3
125.Sh STANDARDS
126The
91.Sh SEE ALSO
92.Xr fmod 3 ,
93.Xr ieee 3 ,
94.Xr math 3
95.Sh STANDARDS
96The
127.Fn remainder ,
128.Fn remainderf ,
129.Fn remainderl ,
130.Fn remquo ,
131.Fn remquof ,
97.Fn remainder
132and
98and
133.Fn remquol
99.Fn remainderf
134routines conform to
100routines conform to
135.St -isoC-99 .
136The remainder is as defined in
101.St -isoC-99
102and
137.St -ieee754 .
138.Sh HISTORY
139The
140.Fn remainder
141and
142.Fn remainderf
143functions appeared in
144.Bx 4.3
145and
146.Fx 2.0 ,
147respectively.
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.
148The
149.Fn remquo
150and
151.Fn remquof
152functions were added in
153.Fx 6.0 ,
154and
155.Fn remainderl
156and
157.Fn remquol
158were added in
159.Fx 8.0 .