1 /* From: @(#)k_sin.c 1.3 95/01/18 */
2 /*
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
6 *
7 * Developed at SunSoft, a Sun Microsystems, Inc. business.
8 * Permission to use, copy, modify, and distribute this
9 * software is freely granted, provided that this notice
10 * is preserved.
11 * ====================================================
12 */
13
14 //__FBSDID("$FreeBSD: src/lib/msun/ld128/k_sinl.c,v 1.1 2008/02/17 07:32:31 das Exp $");
15
16 /*
17 * ld128 version of k_sin.c. See ../src/k_sin.c for most comments.
18 */
19
20
21 static const double
22 half = 0.5;
23
24 /*
25 * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
26 * |sin(x)/x - s(x)| < 2**-122.1
27 *
28 * See ../ld80/k_cosl.c for more details about the polynomial.
29 */
30 static const long double
31 S1 = -0.16666666666666666666666666666666666606732416116558L,
32 S2 = 0.0083333333333333333333333333333331135404851288270047L,
33 S3 = -0.00019841269841269841269841269839935785325638310428717L,
34 S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
35 S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
36 S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
37 S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
38 S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
39
40 static const double
41 S9 = -0.82206352458348947812512122163446202498005154296863e-17,
42 S10 = 0.19572940011906109418080609928334380560135358385256e-19,
43 S11 = -0.38680813379701966970673724299207480965452616911420e-22,
44 S12 = 0.64038150078671872796678569586315881020659912139412e-25;
45
46 long double
__kernel_sinl(long double x,long double y,int iy)47 __kernel_sinl(long double x, long double y, int iy)
48 {
49 long double z,r,v;
50
51 z = x*x;
52 v = z*x;
53 r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
54 z*((long double)S9+z*((long double)S10+z*((long double)S11+z*(long double)S12)))))))));
55 if(iy==0) return x+v*(S1+z*r);
56 else return x-((z*((long double)half*y-v*r)-y)-v*S1);
57 }
58
