xref: /openbsd-src/lib/libm/src/k_sincos.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 SunSoft, 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_sin.c and k_cos.c merged by Steven G. Kargl.
12*6c640833Skettenis  */
13*6c640833Skettenis 
14*6c640833Skettenis static const double
15*6c640833Skettenis S1  = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
16*6c640833Skettenis S2  =  8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
17*6c640833Skettenis S3  = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
18*6c640833Skettenis S4  =  2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
19*6c640833Skettenis S5  = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
20*6c640833Skettenis S6  =  1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
21*6c640833Skettenis 
22*6c640833Skettenis static const double
23*6c640833Skettenis C1  =  4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
24*6c640833Skettenis C2  = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
25*6c640833Skettenis C3  =  2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
26*6c640833Skettenis C4  = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
27*6c640833Skettenis C5  =  2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
28*6c640833Skettenis C6  = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
29*6c640833Skettenis 
30*6c640833Skettenis static inline void
__kernel_sincos(double x,double y,int iy,double * sn,double * cs)31*6c640833Skettenis __kernel_sincos(double x, double y, int iy, double *sn, double *cs)
32*6c640833Skettenis {
33*6c640833Skettenis 	double hz, r, v, w, z;
34*6c640833Skettenis 
35*6c640833Skettenis 	z = x * x;
36*6c640833Skettenis 	w = z * z;
37*6c640833Skettenis 	r = S2 + z * (S3 + z * S4) + z * w * (S5 + z * S6);
38*6c640833Skettenis 	v = z * x;
39*6c640833Skettenis 
40*6c640833Skettenis 	if (iy == 0)
41*6c640833Skettenis 		*sn = x + v * (S1 + z * r);
42*6c640833Skettenis 	else
43*6c640833Skettenis 		*sn = x - ((z * (y / 2 - v * r) - y) - v * S1);
44*6c640833Skettenis 
45*6c640833Skettenis 	r = z * (C1 + z * (C2 + z * C3)) + w * w * (C4 + z * (C5 + z * C6));
46*6c640833Skettenis 	hz = z / 2;
47*6c640833Skettenis 	w = 1 - hz;
48*6c640833Skettenis 	*cs = w + (((1 - w) - hz) + (z * r - x * y));
49*6c640833Skettenis }
50