xref: /illumos-gate/usr/src/lib/libm/common/Q/remainderl.c (revision 3ba944265c4ae1fcf23ef758537c2e4f4feec16e)
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 /*
23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
24  */
25 /*
26  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
27  * Use is subject to license terms.
28  */
29 
30 #pragma weak __remainderl = remainderl
31 
32 #include "libm.h"
33 #include "longdouble.h"
34 
35 /*
36  * remainderl(x,p)
37  *	returns  x REM p  =  x - [x/p]*p as if in infinite
38  *	precise arithmetic, where [x/p] is the (inifinite bit)
39  *	integer nearest x/p (in half way case choose the even one).
40  * Method :
41  *	Based on fmodl() return x-[x/p]chopped*p exactly.
42  */
43 
44 #define	HFMAX	5.948657476786158825428796633140035080982e+4931L
45 #define	DBMIN	6.724206286224187012525355634643505205196e-4932L
46 
47 static const long double
48 	zero = 0.0L,
49 	half = 0.5L,
50 	hfmax = HFMAX,	/* half of the maximum number */
51 	dbmin = DBMIN;	/* double of the minimum (normal) number */
52 
53 long double
54 remainderl(long double x, long double p) {
55 	long double hp;
56 	int sx;
57 
58 	if (isnanl(p))
59 		return (x + p);
60 	if (!finitel(x))
61 		return (x - x);
62 	p = fabsl(p);
63 	if (p <= hfmax)
64 		x = fmodl(x, p + p);
65 	sx = signbitl(x);
66 	x = fabsl(x);
67 	if (p < dbmin) {
68 		if (x + x > p) {
69 			if (x == p)
70 				x = zero;
71 			else
72 				x -= p;	/* avoid x-x=-0 in RM mode */
73 			if (x + x >= p)
74 				x -= p;
75 		}
76 	} else {
77 		hp = half * p;
78 		if (x > hp) {
79 			if (x == p)
80 				x = zero;
81 			else
82 				x -= p;	/* avoid x-x=-0 in RM mode */
83 			if (x >= hp)
84 				x -= p;
85 		}
86 	}
87 	return (sx == 0 ? x : -x);
88 }
89