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