xref: /freebsd/lib/msun/src/k_cosf.c (revision 22cf89c938886d14f5796fc49f9f020c23ea8eaf)
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 #ifndef INLINE_KERNEL_COSDF
18 #include <sys/cdefs.h>
19 #endif
20 
21 #include "math.h"
22 #include "math_private.h"
23 
24 /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
25 static const double
26 one =  1.0,
27 C0  = -0x1ffffffd0c5e81.0p-54,	/* -0.499999997251031003120 */
28 C1  =  0x155553e1053a42.0p-57,	/*  0.0416666233237390631894 */
29 C2  = -0x16c087e80f1e27.0p-62,	/* -0.00138867637746099294692 */
30 C3  =  0x199342e0ee5069.0p-68;	/*  0.0000243904487962774090654 */
31 
32 #ifdef INLINE_KERNEL_COSDF
33 static __inline
34 #endif
35 float
36 __kernel_cosdf(double x)
37 {
38 	double r, w, z;
39 
40 	/* Try to optimize for parallel evaluation as in k_tanf.c. */
41 	z = x*x;
42 	w = z*z;
43 	r = C2+z*C3;
44 	return ((one+z*C0) + w*C1) + (w*z)*r;
45 }
46