| Calin Juravle | 4d77c11 | 2014-03-14 17:56:46 +0000 | [diff] [blame^] | 1 | /* From: @(#)k_sin.c 1.3 95/01/18 */ |
| 2 | /* |
| 3 | * ==================================================== |
| 4 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 5 | * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans. |
| 6 | * |
| 7 | * Developed at SunSoft, a Sun Microsystems, Inc. business. |
| 8 | * Permission to use, copy, modify, and distribute this |
| 9 | * software is freely granted, provided that this notice |
| 10 | * is preserved. |
| 11 | * ==================================================== |
| 12 | */ |
| 13 | |
| 14 | #include <sys/cdefs.h> |
| 15 | __FBSDID("$FreeBSD$"); |
| 16 | |
| 17 | /* |
| 18 | * ld128 version of k_sin.c. See ../src/k_sin.c for most comments. |
| 19 | */ |
| 20 | |
| 21 | #include "math_private.h" |
| 22 | |
| 23 | static const double |
| 24 | half = 0.5; |
| 25 | |
| 26 | /* |
| 27 | * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37] |
| 28 | * |sin(x)/x - s(x)| < 2**-122.1 |
| 29 | * |
| 30 | * See ../ld80/k_cosl.c for more details about the polynomial. |
| 31 | */ |
| 32 | static const long double |
| 33 | S1 = -0.16666666666666666666666666666666666606732416116558L, |
| 34 | S2 = 0.0083333333333333333333333333333331135404851288270047L, |
| 35 | S3 = -0.00019841269841269841269841269839935785325638310428717L, |
| 36 | S4 = 0.27557319223985890652557316053039946268333231205686e-5L, |
| 37 | S5 = -0.25052108385441718775048214826384312253862930064745e-7L, |
| 38 | S6 = 0.16059043836821614596571832194524392581082444805729e-9L, |
| 39 | S7 = -0.76471637318198151807063387954939213287488216303768e-12L, |
| 40 | S8 = 0.28114572543451292625024967174638477283187397621303e-14L; |
| 41 | |
| 42 | static const double |
| 43 | S9 = -0.82206352458348947812512122163446202498005154296863e-17, |
| 44 | S10 = 0.19572940011906109418080609928334380560135358385256e-19, |
| 45 | S11 = -0.38680813379701966970673724299207480965452616911420e-22, |
| 46 | S12 = 0.64038150078671872796678569586315881020659912139412e-25; |
| 47 | |
| 48 | long double |
| 49 | __kernel_sinl(long double x, long double y, int iy) |
| 50 | { |
| 51 | long double z,r,v; |
| 52 | |
| 53 | z = x*x; |
| 54 | v = z*x; |
| 55 | r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+ |
| 56 | z*(S9+z*(S10+z*(S11+z*S12))))))))); |
| 57 | if(iy==0) return x+v*(S1+z*r); |
| 58 | else return x-((z*(half*y-v*r)-y)-v*S1); |
| 59 | } |