xref: /freebsd/lib/msun/src/k_cosf.c (revision 7fdf597e96a02165cfe22ff357b857d5fa15ed8a)
1 /* k_cosf.c -- float version of k_cos.c
2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
3  * Debugged and 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 /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
21 static const double
22 one =  1.0,
23 C0  = -0x1ffffffd0c5e81.0p-54,	/* -0.499999997251031003120 */
24 C1  =  0x155553e1053a42.0p-57,	/*  0.0416666233237390631894 */
25 C2  = -0x16c087e80f1e27.0p-62,	/* -0.00138867637746099294692 */
26 C3  =  0x199342e0ee5069.0p-68;	/*  0.0000243904487962774090654 */
27 
28 #ifdef INLINE_KERNEL_COSDF
29 static __inline
30 #endif
31 float
32 __kernel_cosdf(double x)
33 {
34 	double r, w, z;
35 
36 	/* Try to optimize for parallel evaluation as in k_tanf.c. */
37 	z = x*x;
38 	w = z*z;
39 	r = C2+z*C3;
40 	return ((one+z*C0) + w*C1) + (w*z)*r;
41 }
42