1 /*-
2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4 *
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
8 * is preserved.
9 * ====================================================
10 *
11 * k_sinf.c and k_cosf.c merged by Steven G. Kargl.
12 */
13
14 #include <sys/cdefs.h>
15 #if 0
16 __FBSDID("$FreeBSD: head/lib/msun/src/k_sincosf.h 319047 2017-05-28 06:13:38Z mmel $");
17 #endif
18 #if defined(LIBM_SCCS) && !defined(lint)
19 __RCSID("$NetBSD: k_sincosf.h,v 1.1 2022/08/27 08:31:59 christos Exp $");
20 #endif
21
22 /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
23 static const double
24 S1 = -0x15555554cbac77.0p-55, /* -0.166666666416265235595 */
25 S2 = 0x111110896efbb2.0p-59, /* 0.0083333293858894631756 */
26 S3 = -0x1a00f9e2cae774.0p-65, /* -0.000198393348360966317347 */
27 S4 = 0x16cd878c3b46a7.0p-71; /* 0.0000027183114939898219064 */
28
29 /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
30 static const double
31 C0 = -0x1ffffffd0c5e81.0p-54, /* -0.499999997251031003120 */
32 C1 = 0x155553e1053a42.0p-57, /* 0.0416666233237390631894 */
33 C2 = -0x16c087e80f1e27.0p-62, /* -0.00138867637746099294692 */
34 C3 = 0x199342e0ee5069.0p-68; /* 0.0000243904487962774090654 */
35
36 static inline void
__kernel_sincosdf(double x,float * sn,float * cs)37 __kernel_sincosdf(double x, float *sn, float *cs)
38 {
39 double r, s, w, z;
40
41 z = x * x;
42 w = z * z;
43 r = S3 + z * S4;
44 s = z * x;
45 *sn = (x + s * (S1 + z * S2)) + s * w * r;
46 r = C2 + z * C3;
47 *cs = ((1 + z * C0) + w * C1) + (w * z) * r;
48 }
49