k_sinl.c revision 1.1 
11.1Schristos/* From: @(#)k_sin.c 1.3 95/01/18 */
21.1Schristos/*
31.1Schristos * ====================================================
41.1Schristos * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
51.1Schristos * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
61.1Schristos *
71.1Schristos * Developed at SunSoft, a Sun Microsystems, Inc. business.
81.1Schristos * Permission to use, copy, modify, and distribute this
91.1Schristos * software is freely granted, provided that this notice
101.1Schristos * is preserved.
111.1Schristos * ====================================================
121.1Schristos */
131.1Schristos
141.1Schristos#include <sys/cdefs.h>
151.1Schristos/*
161.1Schristos * ld128 version of k_sin.c.  See ../src/k_sin.c for most comments.
171.1Schristos */
181.1Schristos
191.1Schristos#include "math_private.h"
201.1Schristos
211.1Schristosstatic const double
221.1Schristoshalf =  0.5;
231.1Schristos
241.1Schristos/*
251.1Schristos * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
261.1Schristos * |sin(x)/x - s(x)| < 2**-122.1
271.1Schristos *
281.1Schristos * See ../ld80/k_cosl.c for more details about the polynomial.
291.1Schristos */
301.1Schristosstatic const long double
311.1SchristosS1 = -0.16666666666666666666666666666666666606732416116558L,
321.1SchristosS2 =  0.0083333333333333333333333333333331135404851288270047L,
331.1SchristosS3 = -0.00019841269841269841269841269839935785325638310428717L,
341.1SchristosS4 =  0.27557319223985890652557316053039946268333231205686e-5L,
351.1SchristosS5 = -0.25052108385441718775048214826384312253862930064745e-7L,
361.1SchristosS6 =  0.16059043836821614596571832194524392581082444805729e-9L,
371.1SchristosS7 = -0.76471637318198151807063387954939213287488216303768e-12L,
381.1SchristosS8 =  0.28114572543451292625024967174638477283187397621303e-14L;
391.1Schristos
401.1Schristosstatic const double
411.1SchristosS9  = -0.82206352458348947812512122163446202498005154296863e-17,
421.1SchristosS10 =  0.19572940011906109418080609928334380560135358385256e-19,
431.1SchristosS11 = -0.38680813379701966970673724299207480965452616911420e-22,
441.1SchristosS12 =  0.64038150078671872796678569586315881020659912139412e-25;
451.1Schristos
461.1Schristoslong double
471.1Schristos__kernel_sinl(long double x, long double y, int iy)
481.1Schristos{
491.1Schristos	long double z,r,v;
501.1Schristos
511.1Schristos	z	=  x*x;
521.1Schristos	v	=  z*x;
531.1Schristos	r	=  S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
541.1Schristos	    z*(S9+z*(S10+z*(S11+z*S12)))))))));
551.1Schristos	if(iy==0) return x+v*(S1+z*r);
561.1Schristos	else      return x-((z*(half*y-v*r)-y)-v*S1);
571.1Schristos}
58