161f95582SDavid Schultz /* From: @(#)k_sin.c 1.3 95/01/18 */ 261f95582SDavid Schultz /* 361f95582SDavid Schultz * ==================================================== 461f95582SDavid Schultz * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 561f95582SDavid Schultz * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans. 661f95582SDavid Schultz * 761f95582SDavid Schultz * Developed at SunSoft, a Sun Microsystems, Inc. business. 861f95582SDavid Schultz * Permission to use, copy, modify, and distribute this 961f95582SDavid Schultz * software is freely granted, provided that this notice 1061f95582SDavid Schultz * is preserved. 1161f95582SDavid Schultz * ==================================================== 1261f95582SDavid Schultz */ 1361f95582SDavid Schultz 1461f95582SDavid Schultz #include <sys/cdefs.h> 1561f95582SDavid Schultz __FBSDID("$FreeBSD$"); 1661f95582SDavid Schultz 1761f95582SDavid Schultz /* 1861f95582SDavid Schultz * ld128 version of k_sin.c. See ../src/k_sin.c for most comments. 1961f95582SDavid Schultz */ 2061f95582SDavid Schultz 2161f95582SDavid Schultz #include "math_private.h" 2261f95582SDavid Schultz 2361f95582SDavid Schultz static const double 2461f95582SDavid Schultz half = 0.5; 2561f95582SDavid Schultz 2661f95582SDavid Schultz /* 2761f95582SDavid Schultz * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37] 2861f95582SDavid Schultz * |sin(x)/x - s(x)| < 2**-122.1 2961f95582SDavid Schultz * 3061f95582SDavid Schultz * See ../ld80/k_cosl.c for more details about the polynomial. 3161f95582SDavid Schultz */ 3261f95582SDavid Schultz static const long double 3361f95582SDavid Schultz S1 = -0.16666666666666666666666666666666666606732416116558L, 3461f95582SDavid Schultz S2 = 0.0083333333333333333333333333333331135404851288270047L, 3561f95582SDavid Schultz S3 = -0.00019841269841269841269841269839935785325638310428717L, 3661f95582SDavid Schultz S4 = 0.27557319223985890652557316053039946268333231205686e-5L, 3761f95582SDavid Schultz S5 = -0.25052108385441718775048214826384312253862930064745e-7L, 3861f95582SDavid Schultz S6 = 0.16059043836821614596571832194524392581082444805729e-9L, 3961f95582SDavid Schultz S7 = -0.76471637318198151807063387954939213287488216303768e-12L, 4061f95582SDavid Schultz S8 = 0.28114572543451292625024967174638477283187397621303e-14L; 4161f95582SDavid Schultz 4261f95582SDavid Schultz static const double 4361f95582SDavid Schultz S9 = -0.82206352458348947812512122163446202498005154296863e-17, 4461f95582SDavid Schultz S10 = 0.19572940011906109418080609928334380560135358385256e-19, 4561f95582SDavid Schultz S11 = -0.38680813379701966970673724299207480965452616911420e-22, 4661f95582SDavid Schultz S12 = 0.64038150078671872796678569586315881020659912139412e-25; 4761f95582SDavid Schultz 4861f95582SDavid Schultz long double 4961f95582SDavid Schultz __kernel_sinl(long double x, long double y, int iy) 5061f95582SDavid Schultz { 5161f95582SDavid Schultz long double z,r,v; 5261f95582SDavid Schultz 5361f95582SDavid Schultz z = x*x; 5461f95582SDavid Schultz v = z*x; 5561f95582SDavid Schultz r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+ 5661f95582SDavid Schultz z*(S9+z*(S10+z*(S11+z*S12))))))))); 5761f95582SDavid Schultz if(iy==0) return x+v*(S1+z*r); 5861f95582SDavid Schultz else return x-((z*(half*y-v*r)-y)-v*S1); 5961f95582SDavid Schultz } 60