1176358Sdas/* From: @(#)k_sin.c 1.3 95/01/18 */ 2176358Sdas/* 3176358Sdas * ==================================================== 4176358Sdas * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 5176358Sdas * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans. 6176358Sdas * 7176358Sdas * Developed at SunSoft, a Sun Microsystems, Inc. business. 8176358Sdas * Permission to use, copy, modify, and distribute this 9176358Sdas * software is freely granted, provided that this notice 10176358Sdas * is preserved. 11176358Sdas * ==================================================== 12176358Sdas */ 13176358Sdas 14176358Sdas#include <sys/cdefs.h> 15176358Sdas__FBSDID("$FreeBSD$"); 16176358Sdas 17176358Sdas/* 18176358Sdas * ld128 version of k_sin.c. See ../src/k_sin.c for most comments. 19176358Sdas */ 20176358Sdas 21176358Sdas#include "math_private.h" 22176358Sdas 23176358Sdasstatic const double 24176358Sdashalf = 0.5; 25176358Sdas 26176358Sdas/* 27176358Sdas * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37] 28176358Sdas * |sin(x)/x - s(x)| < 2**-122.1 29176358Sdas * 30176358Sdas * See ../ld80/k_cosl.c for more details about the polynomial. 31176358Sdas */ 32176358Sdasstatic const long double 33176358SdasS1 = -0.16666666666666666666666666666666666606732416116558L, 34176358SdasS2 = 0.0083333333333333333333333333333331135404851288270047L, 35176358SdasS3 = -0.00019841269841269841269841269839935785325638310428717L, 36176358SdasS4 = 0.27557319223985890652557316053039946268333231205686e-5L, 37176358SdasS5 = -0.25052108385441718775048214826384312253862930064745e-7L, 38176358SdasS6 = 0.16059043836821614596571832194524392581082444805729e-9L, 39176358SdasS7 = -0.76471637318198151807063387954939213287488216303768e-12L, 40176358SdasS8 = 0.28114572543451292625024967174638477283187397621303e-14L; 41176358Sdas 42176358Sdasstatic const double 43176358SdasS9 = -0.82206352458348947812512122163446202498005154296863e-17, 44176358SdasS10 = 0.19572940011906109418080609928334380560135358385256e-19, 45176358SdasS11 = -0.38680813379701966970673724299207480965452616911420e-22, 46176358SdasS12 = 0.64038150078671872796678569586315881020659912139412e-25; 47176358Sdas 48176358Sdaslong double 49176358Sdas__kernel_sinl(long double x, long double y, int iy) 50176358Sdas{ 51176358Sdas long double z,r,v; 52176358Sdas 53176358Sdas z = x*x; 54176358Sdas v = z*x; 55176358Sdas r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+ 56176358Sdas z*(S9+z*(S10+z*(S11+z*S12))))))))); 57176358Sdas if(iy==0) return x+v*(S1+z*r); 58176358Sdas else return x-((z*(half*y-v*r)-y)-v*S1); 59176358Sdas} 60