1*390c8400Smartynas /* $OpenBSD: k_sinl.c,v 1.1 2008/12/09 20:00:35 martynas Exp $ */
2*390c8400Smartynas /* From: @(#)k_sin.c 1.3 95/01/18 */
3*390c8400Smartynas /*
4*390c8400Smartynas * ====================================================
5*390c8400Smartynas * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6*390c8400Smartynas * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
7*390c8400Smartynas *
8*390c8400Smartynas * Developed at SunSoft, a Sun Microsystems, Inc. business.
9*390c8400Smartynas * Permission to use, copy, modify, and distribute this
10*390c8400Smartynas * software is freely granted, provided that this notice
11*390c8400Smartynas * is preserved.
12*390c8400Smartynas * ====================================================
13*390c8400Smartynas */
14*390c8400Smartynas
15*390c8400Smartynas /*
16*390c8400Smartynas * ld128 version of k_sin.c. See ../k_sin.c for most comments.
17*390c8400Smartynas */
18*390c8400Smartynas
19*390c8400Smartynas #include "math_private.h"
20*390c8400Smartynas
21*390c8400Smartynas static const double
22*390c8400Smartynas half = 0.5;
23*390c8400Smartynas
24*390c8400Smartynas /*
25*390c8400Smartynas * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
26*390c8400Smartynas * |sin(x)/x - s(x)| < 2**-122.1
27*390c8400Smartynas *
28*390c8400Smartynas * See ../ld80/k_cosl.c for more details about the polynomial.
29*390c8400Smartynas */
30*390c8400Smartynas static const long double
31*390c8400Smartynas S1 = -0.16666666666666666666666666666666666606732416116558L,
32*390c8400Smartynas S2 = 0.0083333333333333333333333333333331135404851288270047L,
33*390c8400Smartynas S3 = -0.00019841269841269841269841269839935785325638310428717L,
34*390c8400Smartynas S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
35*390c8400Smartynas S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
36*390c8400Smartynas S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
37*390c8400Smartynas S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
38*390c8400Smartynas S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
39*390c8400Smartynas
40*390c8400Smartynas static const double
41*390c8400Smartynas S9 = -0.82206352458348947812512122163446202498005154296863e-17,
42*390c8400Smartynas S10 = 0.19572940011906109418080609928334380560135358385256e-19,
43*390c8400Smartynas S11 = -0.38680813379701966970673724299207480965452616911420e-22,
44*390c8400Smartynas S12 = 0.64038150078671872796678569586315881020659912139412e-25;
45*390c8400Smartynas
46*390c8400Smartynas long double
__kernel_sinl(long double x,long double y,int iy)47*390c8400Smartynas __kernel_sinl(long double x, long double y, int iy)
48*390c8400Smartynas {
49*390c8400Smartynas long double z,r,v;
50*390c8400Smartynas
51*390c8400Smartynas z = x*x;
52*390c8400Smartynas v = z*x;
53*390c8400Smartynas r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
54*390c8400Smartynas z*(S9+z*(S10+z*(S11+z*S12)))))))));
55*390c8400Smartynas if(iy==0) return x+v*(S1+z*r);
56*390c8400Smartynas else return x-((z*(half*y-v*r)-y)-v*S1);
57*390c8400Smartynas }
58