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5261 libm should stop using synonyms.h
5298 fabs is 0-sized, confuses dis(1) and others
Reviewed by: Josef 'Jeff' Sipek <jeffpc@josefsipek.net>
Approved by: Gordon Ross <gwr@nexenta.com>
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--- old/usr/src/lib/libm/common/C/cos.c
+++ new/usr/src/lib/libm/common/C/cos.c
1 1 /*
2 2 * CDDL HEADER START
3 3 *
4 4 * The contents of this file are subject to the terms of the
5 5 * Common Development and Distribution License (the "License").
6 6 * You may not use this file except in compliance with the License.
7 7 *
8 8 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9 9 * or http://www.opensolaris.org/os/licensing.
10 10 * See the License for the specific language governing permissions
11 11 * and limitations under the License.
12 12 *
13 13 * When distributing Covered Code, include this CDDL HEADER in each
14 14 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15 15 * If applicable, add the following below this CDDL HEADER, with the
16 16 * fields enclosed by brackets "[]" replaced with your own identifying
17 17 * information: Portions Copyright [yyyy] [name of copyright owner]
18 18 *
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19 19 * CDDL HEADER END
20 20 */
21 21 /*
22 22 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
23 23 */
24 24 /*
25 25 * Copyright 2005 Sun Microsystems, Inc. All rights reserved.
26 26 * Use is subject to license terms.
27 27 */
28 28
29 -#pragma weak cos = __cos
29 +#pragma weak __cos = cos
30 30
31 31 /* INDENT OFF */
32 32 /*
33 33 * cos(x)
34 34 * Accurate Table look-up algorithm by K.C. Ng, May, 1995.
35 35 *
36 36 * Algorithm: see sincos.c
37 37 */
38 38
39 39 #include "libm.h"
40 40
41 41 static const double sc[] = {
42 42 /* ONE = */ 1.0,
43 43 /* NONE = */ -1.0,
44 44 /*
45 45 * |sin(x) - (x+pp1*x^3+pp2*x^5)| <= 2^-58.79 for |x| < 0.008
46 46 */
47 47 /* PP1 = */ -0.166666666666316558867252052378889521480627858683055567,
48 48 /* PP2 = */ .008333315652997472323564894248466758248475374977974017927,
49 49 /*
50 50 * |(sin(x) - (x+p1*x^3+...+p4*x^9)|
51 51 * |------------------------------ | <= 2^-57.63 for |x| < 0.1953125
52 52 * | x |
53 53 */
54 54 /* P1 = */ -1.666666666666629669805215138920301589656e-0001,
55 55 /* P2 = */ 8.333333332390951295683993455280336376663e-0003,
56 56 /* P3 = */ -1.984126237997976692791551778230098403960e-0004,
57 57 /* P4 = */ 2.753403624854277237649987622848330351110e-0006,
58 58 /*
59 59 * |cos(x) - (1+qq1*x^2+qq2*x^4)| <= 2^-55.99 for |x| <= 0.008 (0x3f80624d)
60 60 */
61 61 /* QQ1 = */ -0.4999999999975492381842911981948418542742729,
62 62 /* QQ2 = */ 0.041666542904352059294545209158357640398771740,
63 63 /* Q1 = */ -0.5,
64 64 /* Q2 = */ 4.166666666500350703680945520860748617445e-0002,
65 65 /* Q3 = */ -1.388888596436972210694266290577848696006e-0003,
66 66 /* Q4 = */ 2.478563078858589473679519517892953492192e-0005,
67 67 /* PIO2_H = */ 1.570796326794896557999,
68 68 /* PIO2_L = */ 6.123233995736765886130e-17,
69 69 /* PIO2_L0 = */ 6.123233995727922165564e-17,
70 70 /* PIO2_L1 = */ 8.843720566135701120255e-29,
71 71 /* PI3O2_H = */ 4.712388980384689673997,
72 72 /* PI3O2_L = */ 1.836970198721029765839e-16,
73 73 /* PI3O2_L0 = */ 1.836970198720396133587e-16,
74 74 /* PI3O2_L1 = */ 6.336322524749201142226e-29,
75 75 /* PI5O2_H = */ 7.853981633974482789995,
76 76 /* PI5O2_L = */ 3.061616997868382943065e-16,
77 77 /* PI5O2_L0 = */ 3.061616997861941598865e-16,
78 78 /* PI5O2_L1 = */ 6.441344200433640781982e-28,
79 79 };
80 80 /* INDENT ON */
81 81
82 82 #define ONE sc[0]
83 83 #define PP1 sc[2]
84 84 #define PP2 sc[3]
85 85 #define P1 sc[4]
86 86 #define P2 sc[5]
87 87 #define P3 sc[6]
88 88 #define P4 sc[7]
89 89 #define QQ1 sc[8]
90 90 #define QQ2 sc[9]
91 91 #define Q1 sc[10]
92 92 #define Q2 sc[11]
93 93 #define Q3 sc[12]
94 94 #define Q4 sc[13]
95 95 #define PIO2_H sc[14]
96 96 #define PIO2_L sc[15]
97 97 #define PIO2_L0 sc[16]
98 98 #define PIO2_L1 sc[17]
99 99 #define PI3O2_H sc[18]
100 100 #define PI3O2_L sc[19]
101 101 #define PI3O2_L0 sc[20]
102 102 #define PI3O2_L1 sc[21]
103 103 #define PI5O2_H sc[22]
104 104 #define PI5O2_L sc[23]
105 105 #define PI5O2_L0 sc[24]
106 106 #define PI5O2_L1 sc[25]
107 107
108 108 extern const double _TBL_sincos[], _TBL_sincosx[];
109 109
110 110 double
111 111 cos(double x) {
112 112 double z, y[2], w, s, v, p, q;
113 113 int i, j, n, hx, ix, lx;
114 114
115 115 hx = ((int *)&x)[HIWORD];
116 116 lx = ((int *)&x)[LOWORD];
117 117 ix = hx & ~0x80000000;
118 118
119 119 if (ix <= 0x3fc50000) { /* |x| < 10.5/64 = 0.164062500 */
120 120 if (ix < 0x3e400000) { /* |x| < 2**-27 */
121 121 if ((int)x == 0)
122 122 return (ONE);
123 123 }
124 124 z = x * x;
125 125 if (ix < 0x3f800000) /* |x| < 0.008 */
126 126 w = z * (QQ1 + z * QQ2);
127 127 else
128 128 w = z * ((Q1 + z * Q2) + (z * z) * (Q3 + z * Q4));
129 129 return (ONE + w);
130 130 }
131 131
132 132 /* for 0.164062500 < x < M, */
133 133 n = ix >> 20;
134 134 if (n < 0x402) { /* x < 8 */
135 135 i = (((ix >> 12) & 0xff) | 0x100) >> (0x401 - n);
136 136 j = i - 10;
137 137 x = fabs(x);
138 138 v = x - _TBL_sincosx[j];
139 139 if (((j - 81) ^ (j - 101)) < 0) {
140 140 /* near pi/2, cos(pi/2-x)=sin(x) */
141 141 p = PIO2_H - x;
142 142 i = ix - 0x3ff921fb;
143 143 x = p + PIO2_L;
144 144 if ((i | ((lx - 0x54442D00) & 0xffffff00)) == 0) {
145 145 /* very close to pi/2 */
146 146 x = p + PIO2_L0;
147 147 return (x + PIO2_L1);
148 148 }
149 149 z = x * x;
150 150 if (((ix - 0x3ff92000) >> 12) == 0) {
151 151 /* |pi/2-x|<2**-8 */
152 152 w = PIO2_L + (z * x) * (PP1 + z * PP2);
153 153 } else {
154 154 w = PIO2_L + (z * x) * ((P1 + z * P2) +
155 155 (z * z) * (P3 + z * P4));
156 156 }
157 157 return (p + w);
158 158 }
159 159 s = v * v;
160 160 if (((j - 282) ^ (j - 302)) < 0) {
161 161 /* near 3/2pi, cos(x-3/2pi)=sin(x) */
162 162 p = x - PI3O2_H;
163 163 i = ix - 0x4012D97C;
164 164 x = p - PI3O2_L;
165 165 if ((i | ((lx - 0x7f332100) & 0xffffff00)) == 0) {
166 166 /* very close to 3/2pi */
167 167 x = p - PI3O2_L0;
168 168 return (x - PI3O2_L1);
169 169 }
170 170 z = x * x;
171 171 if (((ix - 0x4012D800) >> 9) == 0) {
172 172 /* |x-3/2pi|<2**-8 */
173 173 w = (z * x) * (PP1 + z * PP2) - PI3O2_L;
174 174 } else {
175 175 w = (z * x) * ((P1 + z * P2) + (z * z)
176 176 * (P3 + z * P4)) - PI3O2_L;
177 177 }
178 178 return (p + w);
179 179 }
180 180 if (((j - 483) ^ (j - 503)) < 0) {
181 181 /* near 5pi/2, cos(5pi/2-x)=sin(x) */
182 182 p = PI5O2_H - x;
183 183 i = ix - 0x401F6A7A;
184 184 x = p + PI5O2_L;
185 185 if ((i | ((lx - 0x29553800) & 0xffffff00)) == 0) {
186 186 /* very close to pi/2 */
187 187 x = p + PI5O2_L0;
188 188 return (x + PI5O2_L1);
189 189 }
190 190 z = x * x;
191 191 if (((ix - 0x401F6A7A) >> 7) == 0) {
192 192 /* |pi/2-x|<2**-8 */
193 193 w = PI5O2_L + (z * x) * (PP1 + z * PP2);
194 194 } else {
195 195 w = PI5O2_L + (z * x) * ((P1 + z * P2) +
196 196 (z * z) * (P3 + z * P4));
197 197 }
198 198 return (p + w);
199 199 }
200 200 j <<= 1;
201 201 w = _TBL_sincos[j];
202 202 z = _TBL_sincos[j+1];
203 203 p = v + (v * s) * (PP1 + s * PP2);
204 204 q = s * (QQ1 + s * QQ2);
205 205 return (z - (w * p - z * q));
206 206 }
207 207
208 208 if (ix >= 0x7ff00000) /* cos(Inf or NaN) is NaN */
209 209 return (x / x);
210 210
211 211 /* argument reduction needed */
212 212 n = __rem_pio2(x, y);
213 213 switch (n & 3) {
214 214 case 0:
215 215 return (__k_cos(y[0], y[1]));
216 216 case 1:
217 217 return (-__k_sin(y[0], y[1]));
218 218 case 2:
219 219 return (-__k_cos(y[0], y[1]));
220 220 default:
221 221 return (__k_sin(y[0], y[1]));
222 222 }
223 223 }
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