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/* origin: FreeBSD /usr/src/lib/msun/ld80/k_sinl.c */
/* origin: FreeBSD /usr/src/lib/msun/ld128/k_sinl.c */
/*
* ====================================================
* 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 "libm.h" // for __sinl
#include <float.h> // for LDBL_MANT_DIG, LDBL_MAX_EXP
#if (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
#if LDBL_MANT_DIG == 64
/*
* ld80 version of __sin.c. See __sin.c for most comments.
*/
/*
* Domain [-0.7854, 0.7854], range ~[-1.89e-22, 1.915e-22]
* |sin(x)/x - s(x)| < 2**-72.1
*
* See __cosl.c for more details about the polynomial.
*/
static const long double S1 = -0.166666666666666666671L; /* -0xaaaaaaaaaaaaaaab.0p-66
*/
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 */
#define POLY(z) (S2 + (z) * (S3 + (z) * (S4 + (z) * (S5 + (z) * (S6 + (z) * (S7 + (z) * S8))))))
#elif LDBL_MANT_DIG == 113
/*
* ld128 version of __sin.c. See __sin.c for most comments.
*/
/*
* Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
* |sin(x)/x - s(x)| < 2**-122.1
*
* See __cosl.c for more details about the polynomial.
*/
static const long double S1 = -0.16666666666666666666666666666666666606732416116558L,
S2 = 0.0083333333333333333333333333333331135404851288270047L,
S3 = -0.00019841269841269841269841269839935785325638310428717L,
S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
static const double S9 = -0.82206352458348947812512122163446202498005154296863e-17,
S10 = 0.19572940011906109418080609928334380560135358385256e-19,
S11 = -0.38680813379701966970673724299207480965452616911420e-22,
S12 = 0.64038150078671872796678569586315881020659912139412e-25;
#define POLY(z) \
(S2 + \
z * (S3 + z * (S4 + z * (S5 + z * (S6 + z * (S7 + z * (S8 + z * (S9 + z * (S10 + z * (S11 + z * S12))))))))))
#endif
long double __sinl(long double x, long double y, int iy)
{
long double z, r, v;
z = x * x;
v = z * x;
r = POLY(z);
if (iy == 0)
return x + v * (S1 + z * r);
return x - ((z * (0.5 * y - v * r) - y) - v * S1);
}
#endif
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