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#include <sys/cdefs.h>
15/*
16 * ld128 version of k_sin.c.  See ../src/k_sin.c for most comments.
17 */
18
19#include "math_private.h"
20
21static const double
22half =  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 */
30static const long double
31S1 = -0.16666666666666666666666666666666666606732416116558L,
32S2 =  0.0083333333333333333333333333333331135404851288270047L,
33S3 = -0.00019841269841269841269841269839935785325638310428717L,
34S4 =  0.27557319223985890652557316053039946268333231205686e-5L,
35S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
36S6 =  0.16059043836821614596571832194524392581082444805729e-9L,
37S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
38S8 =  0.28114572543451292625024967174638477283187397621303e-14L;
39
40static const double
41S9  = -0.82206352458348947812512122163446202498005154296863e-17,
42S10 =  0.19572940011906109418080609928334380560135358385256e-19,
43S11 = -0.38680813379701966970673724299207480965452616911420e-22,
44S12 =  0.64038150078671872796678569586315881020659912139412e-25;
45
46long double
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*(S9+z*(S10+z*(S11+z*S12)))))))));
55	if(iy==0) return x+v*(S1+z*r);
56	else      return x-((z*(half*y-v*r)-y)-v*S1);
57}
58