1*05a0b428SJohn Marino /* $OpenBSD: k_sinl.c,v 1.1 2008/12/09 20:00:35 martynas Exp $ */
2*05a0b428SJohn Marino /* From: @(#)k_sin.c 1.3 95/01/18 */
3*05a0b428SJohn Marino /*
4*05a0b428SJohn Marino * ====================================================
5*05a0b428SJohn Marino * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
6*05a0b428SJohn Marino * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
7*05a0b428SJohn Marino *
8*05a0b428SJohn Marino * Developed at SunSoft, a Sun Microsystems, Inc. business.
9*05a0b428SJohn Marino * Permission to use, copy, modify, and distribute this
10*05a0b428SJohn Marino * software is freely granted, provided that this notice
11*05a0b428SJohn Marino * is preserved.
12*05a0b428SJohn Marino * ====================================================
13*05a0b428SJohn Marino */
14*05a0b428SJohn Marino
15*05a0b428SJohn Marino /*
16*05a0b428SJohn Marino * ld80 version of k_sin.c. See ../k_sin.c for most comments.
17*05a0b428SJohn Marino */
18*05a0b428SJohn Marino
19*05a0b428SJohn Marino #include "math_private.h"
20*05a0b428SJohn Marino
21*05a0b428SJohn Marino static const double
22*05a0b428SJohn Marino half = 0.5;
23*05a0b428SJohn Marino
24*05a0b428SJohn Marino /*
25*05a0b428SJohn Marino * Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
26*05a0b428SJohn Marino * |sin(x)/x - s(x)| < 2**-72.1
27*05a0b428SJohn Marino *
28*05a0b428SJohn Marino * See ../ld80/k_cosl.c for more details about the polynomial.
29*05a0b428SJohn Marino */
30*05a0b428SJohn Marino #if defined(__amd64__) || defined(__i386__)
31*05a0b428SJohn Marino /* Long double constants are slow on these arches, and broken on i386. */
32*05a0b428SJohn Marino static const volatile double
33*05a0b428SJohn Marino S1hi = -0.16666666666666666, /* -0x15555555555555.0p-55 */
34*05a0b428SJohn Marino S1lo = -9.2563760475949941e-18; /* -0x15580000000000.0p-109 */
35*05a0b428SJohn Marino #define S1 ((long double)S1hi + S1lo)
36*05a0b428SJohn Marino #else
37*05a0b428SJohn Marino static const long double
38*05a0b428SJohn Marino S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66 */
39*05a0b428SJohn Marino #endif
40*05a0b428SJohn Marino
41*05a0b428SJohn Marino static const double
42*05a0b428SJohn Marino S2 = 0.0083333333333333332, /* 0x11111111111111.0p-59 */
43*05a0b428SJohn Marino S3 = -0.00019841269841269427, /* -0x1a01a01a019f81.0p-65 */
44*05a0b428SJohn Marino S4 = 0.0000027557319223597490, /* 0x171de3a55560f7.0p-71 */
45*05a0b428SJohn Marino S5 = -0.000000025052108218074604, /* -0x1ae64564f16cad.0p-78 */
46*05a0b428SJohn Marino S6 = 1.6059006598854211e-10, /* 0x161242b90243b5.0p-85 */
47*05a0b428SJohn Marino S7 = -7.6429779983024564e-13, /* -0x1ae42ebd1b2e00.0p-93 */
48*05a0b428SJohn Marino S8 = 2.6174587166648325e-15; /* 0x179372ea0b3f64.0p-101 */
49*05a0b428SJohn Marino
50*05a0b428SJohn Marino long double
__kernel_sinl(long double x,long double y,int iy)51*05a0b428SJohn Marino __kernel_sinl(long double x, long double y, int iy)
52*05a0b428SJohn Marino {
53*05a0b428SJohn Marino long double z,r,v;
54*05a0b428SJohn Marino
55*05a0b428SJohn Marino z = x*x;
56*05a0b428SJohn Marino v = z*x;
57*05a0b428SJohn Marino r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8)))));
58*05a0b428SJohn Marino if(iy==0) return x+v*(S1+z*r);
59*05a0b428SJohn Marino else return x-((z*(half*y-v*r)-y)-v*S1);
60*05a0b428SJohn Marino }
61