1 | /* origin: FreeBSD /usr/src/lib/msun/ld80/k_sinl.c */
|
---|
2 | /* origin: FreeBSD /usr/src/lib/msun/ld128/k_sinl.c */
|
---|
3 | /*
|
---|
4 | * ====================================================
|
---|
5 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
---|
6 | * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
|
---|
7 | *
|
---|
8 | * Developed at SunSoft, a Sun Microsystems, Inc. business.
|
---|
9 | * Permission to use, copy, modify, and distribute this
|
---|
10 | * software is freely granted, provided that this notice
|
---|
11 | * is preserved.
|
---|
12 | * ====================================================
|
---|
13 | */
|
---|
14 |
|
---|
15 | #include "libm.h"
|
---|
16 |
|
---|
17 | #if (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
|
---|
18 | #if LDBL_MANT_DIG == 64
|
---|
19 | /*
|
---|
20 | * ld80 version of __sin.c. See __sin.c for most comments.
|
---|
21 | */
|
---|
22 | /*
|
---|
23 | * Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
|
---|
24 | * |sin(x)/x - s(x)| < 2**-72.1
|
---|
25 | *
|
---|
26 | * See __cosl.c for more details about the polynomial.
|
---|
27 | */
|
---|
28 | static const long double
|
---|
29 | S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */
|
---|
30 | static const double
|
---|
31 | S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
|
---|
32 | S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
|
---|
33 | S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
|
---|
34 | S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
|
---|
35 | S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
|
---|
36 | S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
|
---|
37 | S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
|
---|
38 | #define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8))))))
|
---|
39 | #elif LDBL_MANT_DIG == 113
|
---|
40 | /*
|
---|
41 | * ld128 version of __sin.c. See __sin.c for most comments.
|
---|
42 | */
|
---|
43 | /*
|
---|
44 | * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
|
---|
45 | * |sin(x)/x - s(x)| < 2**-122.1
|
---|
46 | *
|
---|
47 | * See __cosl.c for more details about the polynomial.
|
---|
48 | */
|
---|
49 | static const long double
|
---|
50 | S1 = -0.16666666666666666666666666666666666606732416116558L,
|
---|
51 | S2 = 0.0083333333333333333333333333333331135404851288270047L,
|
---|
52 | S3 = -0.00019841269841269841269841269839935785325638310428717L,
|
---|
53 | S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
|
---|
54 | S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
|
---|
55 | S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
|
---|
56 | S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
|
---|
57 | S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
|
---|
58 | static const double
|
---|
59 | S9 = -0.82206352458348947812512122163446202498005154296863e-17,
|
---|
60 | S10 = 0.19572940011906109418080609928334380560135358385256e-19,
|
---|
61 | S11 = -0.38680813379701966970673724299207480965452616911420e-22,
|
---|
62 | S12 = 0.64038150078671872796678569586315881020659912139412e-25;
|
---|
63 | #define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+ \
|
---|
64 | z*(S9+z*(S10+z*(S11+z*S12))))))))))
|
---|
65 | #endif
|
---|
66 |
|
---|
67 | long double __sinl(long double x, long double y, int iy)
|
---|
68 | {
|
---|
69 | long double z,r,v;
|
---|
70 |
|
---|
71 | z = x*x;
|
---|
72 | v = z*x;
|
---|
73 | r = POLY(z);
|
---|
74 | if (iy == 0)
|
---|
75 | return x+v*(S1+z*r);
|
---|
76 | return x-((z*(0.5*y-v*r)-y)-v*S1);
|
---|
77 | }
|
---|
78 | #endif
|
---|