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s_sinl.c (176360) s_sinl.c (221234)
1/*-
2 * Copyright (c) 2007 Steven G. Kargl
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright

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20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
25 */
26
27#include <sys/cdefs.h>
1/*-
2 * Copyright (c) 2007 Steven G. Kargl
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright

--- 11 unchanged lines hidden (view full) ---

20 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
21 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
22 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
23 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
24 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
25 */
26
27#include <sys/cdefs.h>
28__FBSDID("$FreeBSD: head/lib/msun/src/s_sinl.c 176360 2008-02-17 07:33:12Z das $");
28__FBSDID("$FreeBSD: head/lib/msun/src/s_sinl.c 221234 2011-04-29 23:13:43Z kargl $");
29
29
30/*
31 * Compute sin(x) for x where x is reduced to y = x - k * pi / 2.
32 */
33
34#include <float.h>
35
36#include "math.h"
30#include <float.h>
31
32#include "math.h"
33#define INLINE_REM_PIO2L
37#include "math_private.h"
34#include "math_private.h"
38#include "fpmath.h"
39
40#if LDBL_MANT_DIG == 64
35#if LDBL_MANT_DIG == 64
41#define NX 3
42#define PREC 2
36#include "../ld80/e_rem_pio2l.h"
43#elif LDBL_MANT_DIG == 113
37#elif LDBL_MANT_DIG == 113
44#define NX 5
45#define PREC 3
38#include "../ld128/e_rem_pio2l.h"
46#else
47#error "Unsupported long double format"
48#endif
49
39#else
40#error "Unsupported long double format"
41#endif
42
50static const long double two24 = 1.67772160000000000000e+07L;
51
52long double
53sinl(long double x)
54{
55 union IEEEl2bits z;
43long double
44sinl(long double x)
45{
46 union IEEEl2bits z;
56 int i, e0, s;
57 double xd[NX], yd[PREC];
47 int e0, s;
48 long double y[2];
58 long double hi, lo;
59
60 z.e = x;
61 s = z.bits.sign;
62 z.bits.sign = 0;
63
64 /* If x = +-0 or x is a subnormal number, then sin(x) = x */
65 if (z.bits.exp == 0)

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70 return ((x - x) / (x - x));
71
72 /* Optimize the case where x is already within range. */
73 if (z.e < M_PI_4) {
74 hi = __kernel_sinl(z.e, 0, 0);
75 return (s ? -hi : hi);
76 }
77
49 long double hi, lo;
50
51 z.e = x;
52 s = z.bits.sign;
53 z.bits.sign = 0;
54
55 /* If x = +-0 or x is a subnormal number, then sin(x) = x */
56 if (z.bits.exp == 0)

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61 return ((x - x) / (x - x));
62
63 /* Optimize the case where x is already within range. */
64 if (z.e < M_PI_4) {
65 hi = __kernel_sinl(z.e, 0, 0);
66 return (s ? -hi : hi);
67 }
68
78 /* Split z.e into a 24-bit representation. */
79 e0 = ilogbl(z.e) - 23;
80 z.e = scalbnl(z.e, -e0);
81 for (i = 0; i < NX; i++) {
82 xd[i] = (double)((int32_t)z.e);
83 z.e = (z.e - xd[i]) * two24;
84 }
69 e0 = __ieee754_rem_pio2l(x, y);
70 hi = y[0];
71 lo = y[1];
85
72
86 /* yd contains the pieces of xd rem pi/2 such that |yd| < pi/4. */
87 e0 = __kernel_rem_pio2(xd, yd, e0, NX, PREC);
88
89#if PREC == 2
90 hi = (long double)yd[0] + yd[1];
91 lo = yd[1] - (hi - yd[0]);
92#else /* PREC == 3 */
93 long double t;
94 t = (long double)yd[2] + yd[1];
95 hi = t + yd[0];
96 lo = yd[0] - (hi - t);
97#endif
98
99 switch (e0 & 3) {
100 case 0:
101 hi = __kernel_sinl(hi, lo, 1);
102 break;
103 case 1:
104 hi = __kernel_cosl(hi, lo);
105 break;
106 case 2:
107 hi = - __kernel_sinl(hi, lo, 1);
108 break;
109 case 3:
110 hi = - __kernel_cosl(hi, lo);
111 break;
112 }
113
73 switch (e0 & 3) {
74 case 0:
75 hi = __kernel_sinl(hi, lo, 1);
76 break;
77 case 1:
78 hi = __kernel_cosl(hi, lo);
79 break;
80 case 2:
81 hi = - __kernel_sinl(hi, lo, 1);
82 break;
83 case 3:
84 hi = - __kernel_cosl(hi, lo);
85 break;
86 }
87
114 return (s ? -hi : hi);
88 return (hi);
115}
89}