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 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