| Elliott Hughes | e332f65 | 2018-05-08 15:07:43 -0700 | [diff] [blame] | 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 | |
| Elliott Hughes | e332f65 | 2018-05-08 15:07:43 -0700 | [diff] [blame] | 14 | /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */ |
| 15 | static const double |
| 16 | S1 = -0x15555554cbac77.0p-55, /* -0.166666666416265235595 */ |
| 17 | S2 = 0x111110896efbb2.0p-59, /* 0.0083333293858894631756 */ |
| 18 | S3 = -0x1a00f9e2cae774.0p-65, /* -0.000198393348360966317347 */ |
| 19 | S4 = 0x16cd878c3b46a7.0p-71; /* 0.0000027183114939898219064 */ |
| 20 | |
| 21 | /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */ |
| 22 | static const double |
| 23 | C0 = -0x1ffffffd0c5e81.0p-54, /* -0.499999997251031003120 */ |
| 24 | C1 = 0x155553e1053a42.0p-57, /* 0.0416666233237390631894 */ |
| 25 | C2 = -0x16c087e80f1e27.0p-62, /* -0.00138867637746099294692 */ |
| 26 | C3 = 0x199342e0ee5069.0p-68; /* 0.0000243904487962774090654 */ |
| 27 | |
| 28 | static inline void |
| 29 | __kernel_sincosdf(double x, float *sn, float *cs) |
| 30 | { |
| 31 | double r, s, w, z; |
| 32 | |
| 33 | z = x * x; |
| 34 | w = z * z; |
| 35 | r = S3 + z * S4; |
| 36 | s = z * x; |
| 37 | *sn = (x + s * (S1 + z * S2)) + s * w * r; |
| 38 | r = C2 + z * C3; |
| 39 | *cs = ((1 + z * C0) + w * C1) + (w * z) * r; |
| 40 | } |