/* From: @(#)k_sin.c 1.3 95/01/18 */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
* Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/

#include <sys/cdefs.h>
/*
* ld80 version of k_sin.c.  See ../src/k_sin.c for most comments.
*/

#include "math_private.h"

static const double
half =  0.5;

/*
* Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
* |sin(x)/x - s(x)| < 2**-72.1
*
* See ../ld80/k_cosl.c for more details about the polynomial.
*/
#if defined(__amd64__) || defined(__i386__)
/* Long double constants are slow on these arches, and broken on i386. */
static const volatile double
S1hi = -0.16666666666666666,            /* -0x15555555555555.0p-55 */
S1lo = -9.2563760475949941e-18;         /* -0x15580000000000.0p-109 */
#define S1      ((long double)S1hi + S1lo)
#else
static const long double
S1 = -0.166666666666666666671L;         /* -0xaaaaaaaaaaaaaaab.0p-66 */
#endif

static const double
S2 =  0.0083333333333333332,            /*  0x11111111111111.0p-59 */
S3 = -0.00019841269841269427,           /* -0x1a01a01a019f81.0p-65 */
S4 =  0.0000027557319223597490,         /*  0x171de3a55560f7.0p-71 */
S5 = -0.000000025052108218074604,       /* -0x1ae64564f16cad.0p-78 */
S6 =  1.6059006598854211e-10,           /*  0x161242b90243b5.0p-85 */
S7 = -7.6429779983024564e-13,           /* -0x1ae42ebd1b2e00.0p-93 */
S8 =  2.6174587166648325e-15;           /*  0x179372ea0b3f64.0p-101 */

long double
__kernel_sinl(long double x, long double y, int iy)
{
       long double z,r,v;

       z       =  x*x;
       v       =  z*x;
       r       =  S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*S8)))));
       if(iy==0) return x+v*(S1+z*r);
       else      return x-((z*(half*y-v*r)-y)-v*S1);
}