xref: /illumos-gate/usr/src/lib/libm/common/Q/__rem_pio2l.c (revision 1a2d662a91cee3bf82f41cd47c7ae6f3825d9db2)
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 /*
31  * __rem_pio2l(x,y)
32  *
33  * return the remainder of x rem pi/2 in y[0]+y[1] by calling __rem_pio2m
34  */
35 
36 #ifndef FDLIBM_BASED
37 #include "libm.h"
38 extern int __rem_pio2m(double *, double *, int, int, int, const int *);
39 #else				/* FDLIBM_BASED */
40 #include "fdlibm.h"
41 #define	__rem_pio2m	__kernel_rem_pio2
42 #endif				/* FDLIBM_BASED */
43 
44 #include "longdouble.h"
45 
46 extern const int _TBL_ipio2l_inf[];
47 
48 static const long double
49 	two24l = 16777216.0L,
50 	pio4   = 0.7853981633974483096156608458198757210495L;
51 
52 int
53 __rem_pio2l(long double x, long double *y)
54 {
55 	long double z, w;
56 	double t[5], v[5];
57 	int e0, i, nx, n, sign;
58 	const int *ipio2;
59 
60 	sign = signbitl(x);
61 	z = fabsl(x);
62 	if (z <= pio4) {
63 		y[0] = x;
64 		y[1] = 0;
65 		return (0);
66 	}
67 	e0 = ilogbl(z) - 23;
68 	z = scalbnl(z, -e0);
69 	for (i = 0; i < 5; i++) {
70 		t[i] = (double)((int)(z));
71 		z = (z - (long double)t[i]) * two24l;
72 	}
73 	nx = 5;
74 	while (t[nx - 1] == 0.0)
75 		nx--;		/* skip zero term */
76 	ipio2 = _TBL_ipio2l_inf;
77 	n = __rem_pio2m(t, v, e0, nx, 3, (const int *)ipio2);
78 	z = (long double)v[2] + (long double)v[1];
79 	w = (long double)v[0];
80 	y[0] = z + w;
81 	y[1] = z - (y[0] - w);
82 	if (sign != 0) {
83 		y[0] = -y[0];
84 		y[1] = -y[1];
85 		return (-n);
86 	}
87 	return (n);
88 }
89