xref: /freebsd/lib/msun/src/k_sinf.c (revision e9ac41698b2f322d55ccf9da50a3596edb2c1800)
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 #include "math.h"
18 #include "math_private.h"
19 
20 /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
21 static const double
22 S1 = -0x15555554cbac77.0p-55,	/* -0.166666666416265235595 */
23 S2 =  0x111110896efbb2.0p-59,	/*  0.0083333293858894631756 */
24 S3 = -0x1a00f9e2cae774.0p-65,	/* -0.000198393348360966317347 */
25 S4 =  0x16cd878c3b46a7.0p-71;	/*  0.0000027183114939898219064 */
26 
27 #ifdef INLINE_KERNEL_SINDF
28 static __inline
29 #endif
30 float
31 __kernel_sindf(double x)
32 {
33 	double r, s, w, z;
34 
35 	/* Try to optimize for parallel evaluation as in k_tanf.c. */
36 	z = x*x;
37 	w = z*z;
38 	r = S3+z*S4;
39 	s = z*x;
40 	return (x + s*(S1+z*S2)) + s*w*r;
41 }
42