xref: /openbsd-src/lib/libm/src/k_sincosf.h (revision 6c6408334dbede3a2c0dcd9ff9c489157df0c856)
1*6c640833Skettenis /*-
2*6c640833Skettenis  * ====================================================
3*6c640833Skettenis  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4*6c640833Skettenis  *
5*6c640833Skettenis  * Developed at SunPro, a Sun Microsystems, Inc. business.
6*6c640833Skettenis  * Permission to use, copy, modify, and distribute this
7*6c640833Skettenis  * software is freely granted, provided that this notice
8*6c640833Skettenis  * is preserved.
9*6c640833Skettenis  * ====================================================
10*6c640833Skettenis  *
11*6c640833Skettenis  * k_sinf.c and k_cosf.c merged by Steven G. Kargl.
12*6c640833Skettenis  */
13*6c640833Skettenis 
14*6c640833Skettenis /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
15*6c640833Skettenis static const double
16*6c640833Skettenis S1 = -0x15555554cbac77.0p-55,	/* -0.166666666416265235595 */
17*6c640833Skettenis S2 =  0x111110896efbb2.0p-59,	/*  0.0083333293858894631756 */
18*6c640833Skettenis S3 = -0x1a00f9e2cae774.0p-65,	/* -0.000198393348360966317347 */
19*6c640833Skettenis S4 =  0x16cd878c3b46a7.0p-71;	/*  0.0000027183114939898219064 */
20*6c640833Skettenis 
21*6c640833Skettenis /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
22*6c640833Skettenis static const double
23*6c640833Skettenis C0  = -0x1ffffffd0c5e81.0p-54,	/* -0.499999997251031003120 */
24*6c640833Skettenis C1  =  0x155553e1053a42.0p-57,	/*  0.0416666233237390631894 */
25*6c640833Skettenis C2  = -0x16c087e80f1e27.0p-62,	/* -0.00138867637746099294692 */
26*6c640833Skettenis C3  =  0x199342e0ee5069.0p-68;	/*  0.0000243904487962774090654 */
27*6c640833Skettenis 
28*6c640833Skettenis static inline void
__kernel_sincosdf(double x,float * sn,float * cs)29*6c640833Skettenis __kernel_sincosdf(double x, float *sn, float *cs)
30*6c640833Skettenis {
31*6c640833Skettenis 	double r, s, w, z;
32*6c640833Skettenis 
33*6c640833Skettenis 	z = x * x;
34*6c640833Skettenis 	w = z * z;
35*6c640833Skettenis 	r = S3 + z * S4;
36*6c640833Skettenis 	s = z * x;
37*6c640833Skettenis 	*sn = (x + s * (S1 + z * S2)) + s * w * r;
38*6c640833Skettenis 	r = C2 + z * C3;
39*6c640833Skettenis 	*cs = ((1 + z * C0) + w * C1) + (w * z) * r;
40*6c640833Skettenis }
41