xref: /freebsd/lib/msun/src/k_sinf.c (revision 59aad933ab2d68f9c1b68caf2344f1e81f0a13f4)
13a8617a8SJordan K. Hubbard /* k_sinf.c -- float version of k_sin.c
23a8617a8SJordan K. Hubbard  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
311dc2417SBruce Evans  * Optimized by Bruce D. Evans.
43a8617a8SJordan K. Hubbard  */
53a8617a8SJordan K. Hubbard 
63a8617a8SJordan K. Hubbard /*
73a8617a8SJordan K. Hubbard  * ====================================================
83a8617a8SJordan K. Hubbard  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
93a8617a8SJordan K. Hubbard  *
103a8617a8SJordan K. Hubbard  * Developed at SunPro, a Sun Microsystems, Inc. business.
113a8617a8SJordan K. Hubbard  * Permission to use, copy, modify, and distribute this
123a8617a8SJordan K. Hubbard  * software is freely granted, provided that this notice
133a8617a8SJordan K. Hubbard  * is preserved.
143a8617a8SJordan K. Hubbard  * ====================================================
153a8617a8SJordan K. Hubbard  */
163a8617a8SJordan K. Hubbard 
1759aad933SBruce Evans #ifndef INLINE_KERNEL_SINDF
183a8617a8SJordan K. Hubbard #ifndef lint
197f3dea24SPeter Wemm static char rcsid[] = "$FreeBSD$";
203a8617a8SJordan K. Hubbard #endif
214ce51209SBruce Evans #endif
223a8617a8SJordan K. Hubbard 
233a8617a8SJordan K. Hubbard #include "math.h"
243a8617a8SJordan K. Hubbard #include "math_private.h"
253a8617a8SJordan K. Hubbard 
2659aad933SBruce Evans /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
2759aad933SBruce Evans static const double
2859aad933SBruce Evans S1 = -0x15555554cbac77.0p-55,	/* -0.166666666416265235595 */
2959aad933SBruce Evans S2 =  0x111110896efbb2.0p-59,	/*  0.0083333293858894631756 */
3059aad933SBruce Evans S3 = -0x1a00f9e2cae774.0p-65,	/* -0.000198393348360966317347 */
3159aad933SBruce Evans S4 =  0x16cd878c3b46a7.0p-71;	/*  0.0000027183114939898219064 */
323a8617a8SJordan K. Hubbard 
3359aad933SBruce Evans #ifdef INLINE_KERNEL_SINDF
344ce51209SBruce Evans extern inline
354ce51209SBruce Evans #endif
3659b19ff1SAlfred Perlstein float
3759aad933SBruce Evans __kernel_sindf(double x)
383a8617a8SJordan K. Hubbard {
3959aad933SBruce Evans 	double z,r,v;
404339c67cSBruce Evans 
413a8617a8SJordan K. Hubbard 	z	=  x*x;
423a8617a8SJordan K. Hubbard 	v	=  z*x;
4311dc2417SBruce Evans 	r	=  S2+z*(S3+z*S4);
4459aad933SBruce Evans 	return x+v*(S1+z*r);
453a8617a8SJordan K. Hubbard }
46