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11210 libm should be cstyle(1ONBLD) clean
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--- old/usr/src/lib/libm/common/Q/__cosl.c
+++ new/usr/src/lib/libm/common/Q/__cosl.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.
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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 *
19 19 * CDDL HEADER END
20 20 */
21 21
22 22 /*
23 23 * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
24 24 */
25 +
25 26 /*
26 27 * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
27 28 * Use is subject to license terms.
28 29 */
29 30
31 +/* BEGIN CSTYLED */
30 32 /*
31 33 * __k_cosl(long double x, long double y)
32 34 * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
33 35 * Input x is assumed to be bounded by ~pi/4 in magnitude.
34 36 * Input y is the tail of x.
35 37 *
36 38 * Table look up algorithm
37 39 * 1. by cos(-x) = cos(x), we may replace x by |x|
38 40 * 2. if x < 25/128 = [0x3ffc4000, 0] = 0.15625 , then
39 41 * if x < 2^-57 (hx < 0x3fc60000 0), return 1.0 with inexact if x != 0
40 42 * z = x*x;
41 43 * if x <= 1/128 = 2**-7 = 0.0078125
42 44 * cos(x)=1.0+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))))
43 45 * else
44 46 * cos(x)=1.0+z*(q1+ ... z*q8)
45 47 * 3. else
46 48 * ht = (hx + 0x400)&0x7ffff800 (round x to a break point t)
47 49 * lt = 0
48 50 * i = (hy-0x3ffc4000)>>11; (i<=64)
49 - * x' = (x - t)+y (|x'| ~<= 2^-7
51 + * x' = (x - t)+y (|x'| ~<= 2^-7
50 52 * By
51 53 * cos(t+x')
52 54 * = cos(t)cos(x')-sin(t)sin(x')
53 55 * = cos(t)(1+z*(qq1+z*qq2))-[sin(t)]*x*(1+z*(pp1+z*pp2))
54 56 * = cos(t) + [cos(t)]*(z*(qq1+z*qq2))-
55 57 * [sin(t)]*x*(1+z*(pp1+z*pp2))
56 58 *
57 59 * Thus,
58 60 * let a= _TBL_cos_hi[i], b = _TBL_cos_lo[i], c= _TBL_sin_hi[i],
59 61 * x = (x-t)+y
60 62 * z = x*x;
61 63 * cos(t+x) = a+(b+ (-c*x*(1+z*(pp1+z*pp2))+a*(z*(qq1+z*qq2)))
62 64 */
65 +/* END CSTYLED */
63 66
64 67 #include "libm.h"
65 68
66 69 extern const long double _TBL_cosl_hi[], _TBL_cosl_lo[], _TBL_sinl_hi[];
67 -static const long double
68 - one = 1.0L,
70 +static const long double one = 1.0L;
71 +
69 72 /*
70 73 * 3 11 -122.32
71 74 * |sin(x) - (x+pp1*x +...+ pp5*x )| <= 2 for |x|<1/64
72 75 */
73 - pp1 = -1.666666666666666666666666666586782940810e-0001L,
74 - pp2 = +8.333333333333333333333003723660929317540e-0003L,
75 - pp3 = -1.984126984126984076045903483778337804470e-0004L,
76 - pp4 = +2.755731922361906641319723106210900949413e-0006L,
77 - pp5 = -2.505198398570947019093998469135012057673e-0008L,
76 +static const long double
77 + pp1 = -1.666666666666666666666666666586782940810e-0001L,
78 + pp2 = +8.333333333333333333333003723660929317540e-0003L,
79 + pp3 = -1.984126984126984076045903483778337804470e-0004L,
80 + pp4 = +2.755731922361906641319723106210900949413e-0006L,
81 + pp5 = -2.505198398570947019093998469135012057673e-0008L;
82 +
78 83 /*
79 84 * 2 16 -117.11
80 85 * |cos(x) - (1+q1*x + ... + q8*x )| <= 2 for |x|<= 0.15625
81 86 */
82 - q1 = -4.999999999999999999999999999999756416975e-0001L,
83 - q2 = +4.166666666666666666666666664006066577258e-0002L,
84 - q3 = -1.388888888888888888888877700363937169637e-0003L,
85 - q4 = +2.480158730158730158494468463031814083559e-0005L,
86 - q5 = -2.755731922398586276322819250356005542871e-0007L,
87 - q6 = +2.087675698767424261441959760729854017855e-0009L,
88 - q7 = -1.147074481239662089072452129010790774761e-0011L,
89 - q8 = +4.777761647399651599730663422263531034782e-0014L,
87 +static const long double
88 + q1 = -4.999999999999999999999999999999756416975e-0001L,
89 + q2 = +4.166666666666666666666666664006066577258e-0002L,
90 + q3 = -1.388888888888888888888877700363937169637e-0003L,
91 + q4 = +2.480158730158730158494468463031814083559e-0005L,
92 + q5 = -2.755731922398586276322819250356005542871e-0007L,
93 + q6 = +2.087675698767424261441959760729854017855e-0009L,
94 + q7 = -1.147074481239662089072452129010790774761e-0011L,
95 + q8 = +4.777761647399651599730663422263531034782e-0014L;
96 +
90 97 /*
91 98 * 2 10 -123.84
92 99 * |cos(x) - (1+qq1*x +...+ qq5*x )| <= 2 for |x|<=1/128
93 100 */
94 - qq1 = -4.999999999999999999999999999999378373641e-0001L,
95 - qq2 = +4.166666666666666666666665478399327703130e-0002L,
96 - qq3 = -1.388888888888888888058211230618051613494e-0003L,
97 - qq4 = +2.480158730156105377771585658905303111866e-0005L,
98 - qq5 = -2.755728099762526325736488376695157008736e-0007L;
101 +static const long double
102 + qq1 = -4.999999999999999999999999999999378373641e-0001L,
103 + qq2 = +4.166666666666666666666665478399327703130e-0002L,
104 + qq3 = -1.388888888888888888058211230618051613494e-0003L,
105 + qq4 = +2.480158730156105377771585658905303111866e-0005L,
106 + qq5 = -2.755728099762526325736488376695157008736e-0007L;
99 107
100 108 #define i0 0
101 109
102 110 long double
103 -__k_cosl(long double x, long double y) {
111 +__k_cosl(long double x, long double y)
112 +{
104 113 long double a, t, z, w;
105 - int *pt = (int *) &t, *px = (int *) &x;
114 + int *pt = (int *)&t, *px = (int *)&x;
106 115 int i, j, hx, ix;
107 116
108 117 t = 1.0L;
109 118 hx = px[i0];
110 119 ix = hx & 0x7fffffff;
120 +
111 121 if (ix < 0x3ffc4000) {
112 122 if (ix < 0x3fc60000)
113 - if ((i = (int) x) == 0)
114 - return (one); /* generate inexact */
123 + if ((i = (int)x) == 0)
124 + return (one);
125 +
126 + /* generate inexact */
115 127 z = x * x;
116 128
117 - if (ix < 0x3ff80000) /* 0.0078125 */
118 - return one + z * (qq1 + z * (qq2 + z * (qq3 +
119 - z * (qq4 + z * qq5))));
120 - else
121 - return one + z * (q1 + z * (q2 + z * (q3 +
122 - z * (q4 + z * (q5 + z * (q6 + z * (q7 +
123 - z * q8)))))));
129 + if (ix < 0x3ff80000) { /* 0.0078125 */
130 + return (one + z * (qq1 + z * (qq2 + z * (qq3 + z *
131 + (qq4 + z * qq5)))));
132 + } else {
133 + return (one + z * (q1 + z * (q2 + z * (q3 + z * (q4 +
134 + z * (q5 + z * (q6 + z * (q7 + z * q8))))))));
135 + }
124 136 }
137 +
125 138 j = (ix + 0x400) & 0x7ffff800;
126 139 i = (j - 0x3ffc4000) >> 11;
127 140 pt[i0] = j;
141 +
128 142 if (hx > 0)
129 143 x = y - (t - x);
130 144 else
131 145 x = (-y) - (t + x);
146 +
132 147 a = _TBL_cosl_hi[i];
133 148 z = x * x;
134 149 t = z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
135 150 w = x * (one + z * (pp1 + z * (pp2 + z * (pp3 + z * (pp4 + z * pp5)))));
136 151 t = _TBL_cosl_lo[i] - (_TBL_sinl_hi[i] * w - a * t);
137 152 return (a + t);
138 153 }
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