xref: /illumos-gate/usr/src/lib/libm/common/C/remainder.c (revision 67a4bb8f9ad4c49e9aa9e21e2114a7c093c3a73a)
1 /*
2  * CDDL HEADER START
3  *
4  * The contents of this file are subject to the terms of the
5  * Common Development and Distribution License (the "License").
6  * You may not use this file except in compliance with the License.
7  *
8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9  * or http://www.opensolaris.org/os/licensing.
10  * See the License for the specific language governing permissions
11  * and limitations under the License.
12  *
13  * When distributing Covered Code, include this CDDL HEADER in each
14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15  * If applicable, add the following below this CDDL HEADER, with the
16  * fields enclosed by brackets "[]" replaced with your own identifying
17  * information: Portions Copyright [yyyy] [name of copyright owner]
18  *
19  * CDDL HEADER END
20  */
21 /*
22  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
23  */
24 /*
25  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
26  * Use is subject to license terms.
27  */
28 
29 #pragma weak __remainder = remainder
30 
31 /*
32  * remainder(x,p)
33  * Code originated from 4.3bsd.
34  * Modified by K.C. Ng for SUN 4.0 libm.
35  * Return :
36  * 	returns  x REM p  =  x - [x/p]*p as if in infinite precise arithmetic,
37  *	where [x/p] is the (inifinite bit) integer nearest x/p (in half way
38  *	case choose the even one).
39  * Method :
40  *	Based on fmod() return x-[x/p]chopped*p exactly.
41  */
42 
43 #include "libm.h"
44 
45 static const double zero = 0.0, half = 0.5;
46 
47 double
48 remainder(double x, double p) {
49 	double	halfp;
50 	int	ix, hx, hp;
51 
52 	ix = ((int *)&x)[HIWORD];
53 	hx = ix & ~0x80000000;
54 	hp = ((int *)&p)[HIWORD] & ~0x80000000;
55 
56 	if (hp > 0x7ff00000 || (hp == 0x7ff00000 && ((int *)&p)[LOWORD] != 0))
57 		return (x * p);
58 	if (hx > 0x7ff00000 || (hx == 0x7ff00000 && ((int *)&x)[LOWORD] != 0))
59 		return (x * p);
60 
61 	if ((hp | ((int *)&p)[LOWORD]) == 0 || hx == 0x7ff00000)
62 		return (_SVID_libm_err(x, p, 28));
63 
64 	p = fabs(p);
65 	if (hp < 0x7fe00000)
66 		x = fmod(x, p + p);
67 	x = fabs(x);
68 	if (hp < 0x00200000) {
69 		if (x + x > p) {
70 			if (x == p)	/* avoid x-x=-0 in RM mode */
71 				return ((ix < 0)? -zero : zero);
72 			x -= p;
73 			if (x + x >= p)
74 				x -= p;
75 		}
76 	} else {
77 		halfp = half * p;
78 		if (x > halfp) {
79 			if (x == p)	/* avoid x-x=-0 in RM mode */
80 				return ((ix < 0)? -zero : zero);
81 			x -= p;
82 			if (x >= halfp)
83 				x -= p;
84 		}
85 	}
86 	return ((ix < 0)? -x : x);
87 }
88