1*cfe182f3Schristos /* From: @(#)k_sin.c 1.3 95/01/18 */
2*cfe182f3Schristos /*
3*cfe182f3Schristos * ====================================================
4*cfe182f3Schristos * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5*cfe182f3Schristos * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
6*cfe182f3Schristos *
7*cfe182f3Schristos * Developed at SunSoft, a Sun Microsystems, Inc. business.
8*cfe182f3Schristos * Permission to use, copy, modify, and distribute this
9*cfe182f3Schristos * software is freely granted, provided that this notice
10*cfe182f3Schristos * is preserved.
11*cfe182f3Schristos * ====================================================
12*cfe182f3Schristos */
13*cfe182f3Schristos
14*cfe182f3Schristos #include <sys/cdefs.h>
15*cfe182f3Schristos /*
16*cfe182f3Schristos * ld128 version of k_sin.c. See ../src/k_sin.c for most comments.
17*cfe182f3Schristos */
18*cfe182f3Schristos
19*cfe182f3Schristos #include "math_private.h"
20*cfe182f3Schristos
21*cfe182f3Schristos static const double
22*cfe182f3Schristos half = 0.5;
23*cfe182f3Schristos
24*cfe182f3Schristos /*
25*cfe182f3Schristos * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
26*cfe182f3Schristos * |sin(x)/x - s(x)| < 2**-122.1
27*cfe182f3Schristos *
28*cfe182f3Schristos * See ../ld80/k_cosl.c for more details about the polynomial.
29*cfe182f3Schristos */
30*cfe182f3Schristos static const long double
31*cfe182f3Schristos S1 = -0.16666666666666666666666666666666666606732416116558L,
32*cfe182f3Schristos S2 = 0.0083333333333333333333333333333331135404851288270047L,
33*cfe182f3Schristos S3 = -0.00019841269841269841269841269839935785325638310428717L,
34*cfe182f3Schristos S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
35*cfe182f3Schristos S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
36*cfe182f3Schristos S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
37*cfe182f3Schristos S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
38*cfe182f3Schristos S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
39*cfe182f3Schristos
40*cfe182f3Schristos static const double
41*cfe182f3Schristos S9 = -0.82206352458348947812512122163446202498005154296863e-17,
42*cfe182f3Schristos S10 = 0.19572940011906109418080609928334380560135358385256e-19,
43*cfe182f3Schristos S11 = -0.38680813379701966970673724299207480965452616911420e-22,
44*cfe182f3Schristos S12 = 0.64038150078671872796678569586315881020659912139412e-25;
45*cfe182f3Schristos
46*cfe182f3Schristos long double
__kernel_sinl(long double x,long double y,int iy)47*cfe182f3Schristos __kernel_sinl(long double x, long double y, int iy)
48*cfe182f3Schristos {
49*cfe182f3Schristos long double z,r,v;
50*cfe182f3Schristos
51*cfe182f3Schristos z = x*x;
52*cfe182f3Schristos v = z*x;
53*cfe182f3Schristos r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
54*cfe182f3Schristos z*(S9+z*(S10+z*(S11+z*S12)))))))));
55*cfe182f3Schristos if(iy==0) return x+v*(S1+z*r);
56*cfe182f3Schristos else return x-((z*(half*y-v*r)-y)-v*S1);
57*cfe182f3Schristos }
58