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 #include <sys/isa_defs.h>
31
32 #ifdef _LITTLE_ENDIAN
33 #define HI(x) *(1+(int*)x)
34 #define LO(x) *(unsigned*)x
35 #else
36 #define HI(x) *(int*)x
37 #define LO(x) *(1+(unsigned*)x)
38 #endif
39
40 #ifdef __RESTRICT
41 #define restrict _Restrict
42 #else
43 #define restrict
44 #endif
45
46 extern const double __vlibm_TBL_sincos_hi[], __vlibm_TBL_sincos_lo[];
47 extern int __vlibm_rem_pio2m( double *, double *, int, int, int );
48
49 static const double
50 zero = 0.0,
51 one = 1.0,
52 two24 = 16777216.0,
53 pp1 = -1.666666666605760465276263943134982554676e-0001,
54 pp2 = 8.333261209690963126718376566146180944442e-0003,
55 p1 = -1.666666666666629669805215138920301589656e-0001,
56 p2 = 8.333333332390951295683993455280336376663e-0003,
57 p3 = -1.984126237997976692791551778230098403960e-0004,
58 p4 = 2.753403624854277237649987622848330351110e-0006,
59 qq1 = -4.999999999977710986407023955908711557870e-0001,
60 qq2 = 4.166654863857219350645055881018842089580e-0002,
61 q1 = -4.999999999999931701464060878888294524481e-0001,
62 q2 = 4.166666666394861917535640593963708222319e-0002,
63 q3 = -1.388888552656142867832756687736851681462e-0003,
64 q4 = 2.478519423681460796618128289454530524759e-0005;
65
66 void
67 __vlibm_vsincos_bigf( int n, float * restrict x, int stridex,
68 float * restrict ss, int stridess, float * restrict cc, int stridecc )
69 {
70 for ( ; n--; x += stridex, ss += stridess, cc += stridecc )
71 {
72 double ts, tc, tx, tt[3], ty[2], t, w, z, c, s;
73 unsigned hx, xsb;
74 int e0, nx, j;
75
76 tx = *x;
77 hx = HI(&tx);
78 xsb = hx & 0x80000000;
79 hx &= ~0x80000000;
80 if ( hx <= 0x413921fb || hx >= 0x7ff00000 )
81 continue;
82 e0 = ( hx >> 20 ) - 1046;
83 HI(&tx) = 0x41600000 | ( hx & 0xfffff );
84
85 tt[0] = (double)( (int) tx );
86 tx = ( tx - tt[0] ) * two24;
87 if ( tx != zero )
88 {
89 nx = 2;
90 tt[1] = (double)( (int) tx );
91 tt[2] = ( tx - tt[1] ) * two24;
92 if ( tt[2] != zero )
93 nx = 3;
94 }
95 else
96 {
97 nx = 1;
98 tt[1] = tt[2] = zero;
99 }
100 nx = __vlibm_rem_pio2m( tt, ty, e0, nx, 2 );
101 if ( xsb )
102 {
103 nx = -nx;
104 ty[0] = -ty[0];
105 ty[1] = -ty[1];
106 }
107
108 /* now nx and ty[*] are the quadrant and reduced arg */
109 xsb = 0;
110 hx = HI(&ty[0]);
111 if ( hx & 0x80000000 )
112 {
113 ty[0] = -ty[0];
114 ty[1] = -ty[1];
115 hx &= ~0x80000000;
116 xsb = 1;
117 }
118 if ( hx < 0x3fc40000 )
119 {
120 z = ty[0] * ty[0];
121 t = z * ( q1 + z * ( q2 + z * ( q3 + z * q4 ) ) );
122 c = one + t;
123
124 t = z * ( p1 + z * ( p2 + z * ( p3 + z * p4 ) ) );
125 s = ty[0] + ( ty[1] + ty[0] * t );
126 }
127 else {
128 j = ( hx + 0x4000 ) & 0x7fff8000;
129 HI(&t) = j;
130 LO(&t) = 0;
131 ty[0] = ( ty[0] - t ) + ty[1];
132 z = ty[0] * ty[0];
133 t = z * ( qq1 + z * qq2 );
134 w = ty[0] * ( one + z * ( pp1 + z * pp2 ) );
135 j = ( ( j - 0x3fc40000 ) >> 13 ) & ~3;
136
137 c = __vlibm_TBL_sincos_hi[j+1];
138 tc = __vlibm_TBL_sincos_lo[j+1] - ( __vlibm_TBL_sincos_hi[j] * w - c * t );
139 c += tc;
140
141 s = __vlibm_TBL_sincos_hi[j];
142 ts = ( __vlibm_TBL_sincos_hi[j+1] * w + s * t ) + __vlibm_TBL_sincos_lo[j];
143 s += ts;
144 }
145 if ( xsb ) {
146 s = -s;
147 }
148
149 switch ( nx & 3 ) {
150 case 0:
151 *ss = s;
152 *cc = c;
153 break;
154
155 case 1:
156 *ss = c;
157 *cc = -s;
158 break;
159
160 case 2:
161 *ss = -s;
162 *cc = -c;
163 break;
164
165 case 3:
166 *ss = -c;
167 *cc = s;
168 break;
169 }
170 }
171 }