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 2005 Sun Microsystems, Inc.  All rights reserved.
26 * Use is subject to license terms.
27 */
28
29#pragma weak __sincosf = sincosf
30
31/* INDENT OFF */
32/*
33 * For |x| < pi/4, let z = x * x, and approximate sin(x) by
34 *
35 *      S(x) = x(S0 + S1*z)(S2 + S3*z + z*z)
36 * where
37 *	S0 =   1.85735322054308378716204874632872525989806770558e-0003,
38 *	S1 =  -1.95035094218403635082921458859320791358115801259e-0004,
39 *	S2 =   5.38400550766074785970952495168558701485841707252e+0002,
40 *	S3 =  -3.31975110777873728964197739157371509422022905947e+0001,
41 *
42 * with error bounded by |(sin(x) - S(x))/x| < 2**(-28.2), and
43 * cos(x) by
44 *
45 *	C(x) = (C0 + C1*z + C2*z*z) * (C3 + C4*z + z*z)
46 * where
47 *	C0 =   1.09349482127188401868272000389539985058873853699e-0003
48 *	C1 =  -5.03324285989964979398034700054920226866107675091e-0004
49 *	C2 =   2.43792880266971107750418061559602239831538067410e-0005
50 *	C3 =   9.14499072605666582228127405245558035523741471271e+0002
51 *	C4 =  -3.63151270591815439197122504991683846785293207730e+0001
52 *
53 * with error bounded by |cos(x) - C(x)| < 2**(-34.2).
54 */
55/* INDENT ON */
56
57#include "libm.h"
58
59extern const int _TBL_ipio2_inf[];
60extern int __rem_pio2m(double *, double *, int, int, int, const int *);
61#if defined(__i386) && !defined(__amd64)
62extern int __swapRP(int);
63#endif
64
65static const double C[] = {
66	1.85735322054308378716204874632872525989806770558e-0003,
67	-1.95035094218403635082921458859320791358115801259e-0004,
68	5.38400550766074785970952495168558701485841707252e+0002,
69	-3.31975110777873728964197739157371509422022905947e+0001,
70	1.09349482127188401868272000389539985058873853699e-0003,
71	-5.03324285989964979398034700054920226866107675091e-0004,
72	2.43792880266971107750418061559602239831538067410e-0005,
73	9.14499072605666582228127405245558035523741471271e+0002,
74	-3.63151270591815439197122504991683846785293207730e+0001,
75	0.636619772367581343075535,	/* 2^ -1  * 1.45F306DC9C883 */
76	0.5,
77	1.570796326734125614166,	/* 2^  0  * 1.921FB54400000 */
78	6.077100506506192601475e-11,	/* 2^-34  * 1.0B4611A626331 */
79};
80
81#define	S0	C[0]
82#define	S1	C[1]
83#define	S2	C[2]
84#define	S3	C[3]
85#define	C0	C[4]
86#define	C1	C[5]
87#define	C2	C[6]
88#define	C3	C[7]
89#define	C4	C[8]
90#define	invpio2	C[9]
91#define	half	C[10]
92#define	pio2_1  C[11]
93#define	pio2_t	C[12]
94
95void
96sincosf(float x, float *s, float *c)
97{
98	double	y, z, w;
99	float	f, g;
100	int	n, ix, hx, hy;
101	volatile int i __unused;
102
103	hx = *((int *)&x);
104	ix = hx & 0x7fffffff;
105
106	y = (double)x;
107
108	if (ix <= 0x4016cbe4) {		/* |x| < 3*pi/4 */
109		if (ix <= 0x3f490fdb) {		/* |x| < pi/4 */
110			if (ix <= 0x39800000) {	/* |x| <= 2**-12 */
111				i = (int)y;
112#ifdef lint
113				i = i;
114#endif
115				*s = x;
116				*c = 1.0f;
117				return;
118			}
119			z = y * y;
120			*s = (float)((y * (S0 + z * S1)) *
121			    (S2 + z * (S3 + z)));
122			*c = (float)(((C0 + z * C1) + (z * z) * C2) *
123			    (C3 + z * (C4 + z)));
124		} else if (hx > 0) {
125			y = (y - pio2_1) - pio2_t;
126			z = y * y;
127			*s = (float)(((C0 + z * C1) + (z * z) * C2) *
128			    (C3 + z * (C4 + z)));
129			*c = (float)-((y * (S0 + z * S1)) *
130			    (S2 + z * (S3 + z)));
131		} else {
132			y = (y + pio2_1) + pio2_t;
133			z = y * y;
134			*s = (float)-(((C0 + z * C1) + (z * z) * C2) *
135			    (C3 + z * (C4 + z)));
136			*c = (float)((y * (S0 + z * S1)) *
137			    (S2 + z * (S3 + z)));
138		}
139		return;
140	} else if (ix <= 0x49c90fdb) {	/* |x| < 2^19*pi */
141#if defined(__i386) && !defined(__amd64)
142		int	rp;
143
144		rp = __swapRP(fp_extended);
145#endif
146		w = y * invpio2;
147		if (hx < 0)
148			n = (int)(w - half);
149		else
150			n = (int)(w + half);
151		y = (y - n * pio2_1) - n * pio2_t;
152#if defined(__i386) && !defined(__amd64)
153		if (rp != fp_extended)
154			(void) __swapRP(rp);
155#endif
156	} else {
157		if (ix >= 0x7f800000) {
158			*s = *c = x / x;
159			return;
160		}
161		hy = ((int *)&y)[HIWORD];
162		n = ((hy >> 20) & 0x7ff) - 1046;
163		((int *)&w)[HIWORD] = (hy & 0xfffff) | 0x41600000;
164		((int *)&w)[LOWORD] = ((int *)&y)[LOWORD];
165		n = __rem_pio2m(&w, &y, n, 1, 0, _TBL_ipio2_inf);
166		if (hy < 0) {
167			y = -y;
168			n = -n;
169		}
170	}
171
172	z = y * y;
173	f = (float)((y * (S0 + z * S1)) * (S2 + z * (S3 + z)));
174	g = (float)(((C0 + z * C1) + (z * z) * C2) *
175	    (C3 + z * (C4 + z)));
176	if (n & 2) {
177		f = -f;
178		g = -g;
179	}
180	if (n & 1) {
181		*s = g;
182		*c = -f;
183	} else {
184		*s = f;
185		*c = g;
186	}
187}
188