xref: /freebsd/lib/msun/src/k_sinf.c (revision 2008043f386721d58158e37e0d7e50df8095942d)
1 /* k_sinf.c -- float version of k_sin.c
2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3  * Optimized by Bruce D. Evans.
4  */
5 
6 /*
7  * ====================================================
8  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9  *
10  * Developed at SunPro, a Sun Microsystems, Inc. business.
11  * Permission to use, copy, modify, and distribute this
12  * software is freely granted, provided that this notice
13  * is preserved.
14  * ====================================================
15  */
16 
17 #ifndef INLINE_KERNEL_SINDF
18 #include <sys/cdefs.h>
19 #endif
20 
21 #include "math.h"
22 #include "math_private.h"
23 
24 /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
25 static const double
26 S1 = -0x15555554cbac77.0p-55,	/* -0.166666666416265235595 */
27 S2 =  0x111110896efbb2.0p-59,	/*  0.0083333293858894631756 */
28 S3 = -0x1a00f9e2cae774.0p-65,	/* -0.000198393348360966317347 */
29 S4 =  0x16cd878c3b46a7.0p-71;	/*  0.0000027183114939898219064 */
30 
31 #ifdef INLINE_KERNEL_SINDF
32 static __inline
33 #endif
34 float
35 __kernel_sindf(double x)
36 {
37 	double r, s, w, z;
38 
39 	/* Try to optimize for parallel evaluation as in k_tanf.c. */
40 	z = x*x;
41 	w = z*z;
42 	r = S3+z*S4;
43 	s = z*x;
44 	return (x + s*(S1+z*S2)) + s*w*r;
45 }
46