1*f504f610SAugustin Cavalier /* origin: FreeBSD /usr/src/lib/msun/ld80/k_sinl.c */
2*f504f610SAugustin Cavalier /* origin: FreeBSD /usr/src/lib/msun/ld128/k_sinl.c */
3*f504f610SAugustin Cavalier /*
4*f504f610SAugustin Cavalier * ====================================================
5*f504f610SAugustin Cavalier * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6*f504f610SAugustin Cavalier * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
7*f504f610SAugustin Cavalier *
8*f504f610SAugustin Cavalier * Developed at SunSoft, a Sun Microsystems, Inc. business.
9*f504f610SAugustin Cavalier * Permission to use, copy, modify, and distribute this
10*f504f610SAugustin Cavalier * software is freely granted, provided that this notice
11*f504f610SAugustin Cavalier * is preserved.
12*f504f610SAugustin Cavalier * ====================================================
13*f504f610SAugustin Cavalier */
14*f504f610SAugustin Cavalier
15*f504f610SAugustin Cavalier #include "libm.h"
16*f504f610SAugustin Cavalier
17*f504f610SAugustin Cavalier #if (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
18*f504f610SAugustin Cavalier #if LDBL_MANT_DIG == 64
19*f504f610SAugustin Cavalier /*
20*f504f610SAugustin Cavalier * ld80 version of __sin.c. See __sin.c for most comments.
21*f504f610SAugustin Cavalier */
22*f504f610SAugustin Cavalier /*
23*f504f610SAugustin Cavalier * Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
24*f504f610SAugustin Cavalier * |sin(x)/x - s(x)| < 2**-72.1
25*f504f610SAugustin Cavalier *
26*f504f610SAugustin Cavalier * See __cosl.c for more details about the polynomial.
27*f504f610SAugustin Cavalier */
28*f504f610SAugustin Cavalier static const long double
29*f504f610SAugustin Cavalier S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */
30*f504f610SAugustin Cavalier static const double
31*f504f610SAugustin Cavalier S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
32*f504f610SAugustin Cavalier S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
33*f504f610SAugustin Cavalier S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
34*f504f610SAugustin Cavalier S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
35*f504f610SAugustin Cavalier S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
36*f504f610SAugustin Cavalier S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
37*f504f610SAugustin Cavalier S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
38*f504f610SAugustin Cavalier #define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8))))))
39*f504f610SAugustin Cavalier #elif LDBL_MANT_DIG == 113
40*f504f610SAugustin Cavalier /*
41*f504f610SAugustin Cavalier * ld128 version of __sin.c. See __sin.c for most comments.
42*f504f610SAugustin Cavalier */
43*f504f610SAugustin Cavalier /*
44*f504f610SAugustin Cavalier * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
45*f504f610SAugustin Cavalier * |sin(x)/x - s(x)| < 2**-122.1
46*f504f610SAugustin Cavalier *
47*f504f610SAugustin Cavalier * See __cosl.c for more details about the polynomial.
48*f504f610SAugustin Cavalier */
49*f504f610SAugustin Cavalier static const long double
50*f504f610SAugustin Cavalier S1 = -0.16666666666666666666666666666666666606732416116558L,
51*f504f610SAugustin Cavalier S2 = 0.0083333333333333333333333333333331135404851288270047L,
52*f504f610SAugustin Cavalier S3 = -0.00019841269841269841269841269839935785325638310428717L,
53*f504f610SAugustin Cavalier S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
54*f504f610SAugustin Cavalier S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
55*f504f610SAugustin Cavalier S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
56*f504f610SAugustin Cavalier S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
57*f504f610SAugustin Cavalier S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
58*f504f610SAugustin Cavalier static const double
59*f504f610SAugustin Cavalier S9 = -0.82206352458348947812512122163446202498005154296863e-17,
60*f504f610SAugustin Cavalier S10 = 0.19572940011906109418080609928334380560135358385256e-19,
61*f504f610SAugustin Cavalier S11 = -0.38680813379701966970673724299207480965452616911420e-22,
62*f504f610SAugustin Cavalier S12 = 0.64038150078671872796678569586315881020659912139412e-25;
63*f504f610SAugustin Cavalier #define POLY(z) (S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+ \
64*f504f610SAugustin Cavalier z*(S9+z*(S10+z*(S11+z*S12))))))))))
65*f504f610SAugustin Cavalier #endif
66*f504f610SAugustin Cavalier
__sinl(long double x,long double y,int iy)67*f504f610SAugustin Cavalier long double __sinl(long double x, long double y, int iy)
68*f504f610SAugustin Cavalier {
69*f504f610SAugustin Cavalier long double z,r,v;
70*f504f610SAugustin Cavalier
71*f504f610SAugustin Cavalier z = x*x;
72*f504f610SAugustin Cavalier v = z*x;
73*f504f610SAugustin Cavalier r = POLY(z);
74*f504f610SAugustin Cavalier if (iy == 0)
75*f504f610SAugustin Cavalier return x+v*(S1+z*r);
76*f504f610SAugustin Cavalier return x-((z*(0.5*y-v*r)-y)-v*S1);
77*f504f610SAugustin Cavalier }
78*f504f610SAugustin Cavalier #endif
79