xref: /illumos-gate/usr/src/lib/libm/common/LD/__rem_pio2l.c (revision 5422785d352a2bb398daceab3d1898a8aa64d006)
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 /* __rem_pio2l(x,y)
31  *
32  * return the remainder of x rem pi/2 in y[0]+y[1]
33  * by calling __rem_pio2m
34  */
35 
36 #include "libm.h"
37 #include "longdouble.h"
38 
39 extern const int _TBL_ipio2l_inf[];
40 
41 static const long double
42     two24l = 16777216.0L,
43     pio4   = 0.7853981633974483096156608458198757210495L;
44 
45 int
46 __rem_pio2l(long double x, long double *y)
47 {
48 	long double	z, w;
49 	double		t[3], v[5];
50 	int		e0, i, nx, n, sign;
51 
52 	sign = signbitl(x);
53 	z = fabsl(x);
54 	if (z <= pio4) {
55 		y[0] = x;
56 		y[1] = 0;
57 		return (0);
58 	}
59 	e0 = ilogbl(z) - 23;
60 	z = scalbnl(z, -e0);
61 	for (i = 0; i < 3; i++) {
62 		t[i] = (double)((int)(z));
63 		z = (z - (long double)t[i]) * two24l;
64 	}
65 	nx = 3;
66 	while (t[nx-1] == 0.0)
67 		nx--;	/* omit trailing zeros */
68 	n = __rem_pio2m(t, v, e0, nx, 2, _TBL_ipio2l_inf);
69 	z = (long double)v[1];
70 	w = (long double)v[0];
71 	y[0] = z + w;
72 	y[1] = z - (y[0] - w);
73 	if (sign == 1) {
74 		y[0] = -y[0];
75 		y[1] = -y[1];
76 		return (-n);
77 	}
78 	return (n);
79 }
80