1176358Sdas/* From: @(#)k_sin.c 1.3 95/01/18 */
2176358Sdas/*
3176358Sdas * ====================================================
4176358Sdas * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5176358Sdas * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
6176358Sdas *
7176358Sdas * Developed at SunSoft, a Sun Microsystems, Inc. business.
8176358Sdas * Permission to use, copy, modify, and distribute this
9176358Sdas * software is freely granted, provided that this notice
10176358Sdas * is preserved.
11176358Sdas * ====================================================
12176358Sdas */
13176358Sdas
14176358Sdas#include <sys/cdefs.h>
15176358Sdas__FBSDID("$FreeBSD$");
16176358Sdas
17176358Sdas/*
18176358Sdas * ld128 version of k_sin.c.  See ../src/k_sin.c for most comments.
19176358Sdas */
20176358Sdas
21176358Sdas#include "math_private.h"
22176358Sdas
23176358Sdasstatic const double
24176358Sdashalf =  0.5;
25176358Sdas
26176358Sdas/*
27176358Sdas * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
28176358Sdas * |sin(x)/x - s(x)| < 2**-122.1
29176358Sdas *
30176358Sdas * See ../ld80/k_cosl.c for more details about the polynomial.
31176358Sdas */
32176358Sdasstatic const long double
33176358SdasS1 = -0.16666666666666666666666666666666666606732416116558L,
34176358SdasS2 =  0.0083333333333333333333333333333331135404851288270047L,
35176358SdasS3 = -0.00019841269841269841269841269839935785325638310428717L,
36176358SdasS4 =  0.27557319223985890652557316053039946268333231205686e-5L,
37176358SdasS5 = -0.25052108385441718775048214826384312253862930064745e-7L,
38176358SdasS6 =  0.16059043836821614596571832194524392581082444805729e-9L,
39176358SdasS7 = -0.76471637318198151807063387954939213287488216303768e-12L,
40176358SdasS8 =  0.28114572543451292625024967174638477283187397621303e-14L;
41176358Sdas
42176358Sdasstatic const double
43176358SdasS9  = -0.82206352458348947812512122163446202498005154296863e-17,
44176358SdasS10 =  0.19572940011906109418080609928334380560135358385256e-19,
45176358SdasS11 = -0.38680813379701966970673724299207480965452616911420e-22,
46176358SdasS12 =  0.64038150078671872796678569586315881020659912139412e-25;
47176358Sdas
48176358Sdaslong double
49176358Sdas__kernel_sinl(long double x, long double y, int iy)
50176358Sdas{
51176358Sdas	long double z,r,v;
52176358Sdas
53176358Sdas	z	=  x*x;
54176358Sdas	v	=  z*x;
55176358Sdas	r	=  S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
56176358Sdas	    z*(S9+z*(S10+z*(S11+z*S12)))))))));
57176358Sdas	if(iy==0) return x+v*(S1+z*r);
58176358Sdas	else      return x-((z*(half*y-v*r)-y)-v*S1);
59176358Sdas}
60