161f95582SDavid Schultz /*
261f95582SDavid Schultz * ====================================================
361f95582SDavid Schultz * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
461f95582SDavid Schultz * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
561f95582SDavid Schultz *
661f95582SDavid Schultz * Developed at SunSoft, a Sun Microsystems, Inc. business.
761f95582SDavid Schultz * Permission to use, copy, modify, and distribute this
861f95582SDavid Schultz * software is freely granted, provided that this notice
961f95582SDavid Schultz * is preserved.
1061f95582SDavid Schultz * ====================================================
1161f95582SDavid Schultz */
1261f95582SDavid Schultz
1361f95582SDavid Schultz /*
1461f95582SDavid Schultz * ld128 version of k_sin.c. See ../src/k_sin.c for most comments.
1561f95582SDavid Schultz */
1661f95582SDavid Schultz
1761f95582SDavid Schultz #include "math_private.h"
1861f95582SDavid Schultz
1961f95582SDavid Schultz static const double
2061f95582SDavid Schultz half = 0.5;
2161f95582SDavid Schultz
2261f95582SDavid Schultz /*
2361f95582SDavid Schultz * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
2461f95582SDavid Schultz * |sin(x)/x - s(x)| < 2**-122.1
2561f95582SDavid Schultz *
2661f95582SDavid Schultz * See ../ld80/k_cosl.c for more details about the polynomial.
2761f95582SDavid Schultz */
2861f95582SDavid Schultz static const long double
2961f95582SDavid Schultz S1 = -0.16666666666666666666666666666666666606732416116558L,
3061f95582SDavid Schultz S2 = 0.0083333333333333333333333333333331135404851288270047L,
3161f95582SDavid Schultz S3 = -0.00019841269841269841269841269839935785325638310428717L,
3261f95582SDavid Schultz S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
3361f95582SDavid Schultz S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
3461f95582SDavid Schultz S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
3561f95582SDavid Schultz S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
3661f95582SDavid Schultz S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
3761f95582SDavid Schultz
3861f95582SDavid Schultz static const double
3961f95582SDavid Schultz S9 = -0.82206352458348947812512122163446202498005154296863e-17,
4061f95582SDavid Schultz S10 = 0.19572940011906109418080609928334380560135358385256e-19,
4161f95582SDavid Schultz S11 = -0.38680813379701966970673724299207480965452616911420e-22,
4261f95582SDavid Schultz S12 = 0.64038150078671872796678569586315881020659912139412e-25;
4361f95582SDavid Schultz
4461f95582SDavid Schultz long double
__kernel_sinl(long double x,long double y,int iy)4561f95582SDavid Schultz __kernel_sinl(long double x, long double y, int iy)
4661f95582SDavid Schultz {
4761f95582SDavid Schultz long double z,r,v;
4861f95582SDavid Schultz
4961f95582SDavid Schultz z = x*x;
5061f95582SDavid Schultz v = z*x;
5161f95582SDavid Schultz r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
5261f95582SDavid Schultz z*(S9+z*(S10+z*(S11+z*S12)))))))));
5361f95582SDavid Schultz if(iy==0) return x+v*(S1+z*r);
5461f95582SDavid Schultz else return x-((z*(half*y-v*r)-y)-v*S1);
5561f95582SDavid Schultz }
56