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 } 60