1 /* s_sinl.c -- long double version of s_sin.c.
2 * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
13 * ====================================================
17 * Return sine function of x.
20 * __kernel_sinl ... sine function on [-pi/4,pi/4]
21 * __kernel_cosl ... cose function on [-pi/4,pi/4]
22 * __ieee754_rem_pio2l ... argument reduction routine
25 * Let S,C and T denote the sin, cos and tan respectively on
26 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
27 * in [-pi/4 , +pi/4], and let n = k mod 4.
30 * n sin(x) cos(x) tan(x)
31 * ----------------------------------------------------------
36 * ----------------------------------------------------------
39 * Let trig be any of sin, cos, or tan.
40 * trig(+-INF) is NaN, with signals;
41 * trig(NaN) is that NaN;
44 * TRIG(x) returns trig(x) nearly rounded
49 #include "math_private.h"
50 #include <math_ldbl_opt.h>
53 long double __sinl(long double x)
59 long double y[2],z=0.0L;
63 GET_LDOUBLE_MSW64(ix,x);
66 ix &= 0x7fffffffffffffffLL;
67 if(ix <= 0x3fe921fb54442d10LL)
68 return __kernel_sinl(x,z,0);
70 /* sin(Inf or NaN) is NaN */
71 else if (ix>=0x7ff0000000000000LL) {
72 if (ix == 0x7ff0000000000000LL)
76 /* argument reduction needed */
78 n = __ieee754_rem_pio2l(x,y);
80 case 0: return __kernel_sinl(y[0],y[1],1);
81 case 1: return __kernel_cosl(y[0],y[1]);
82 case 2: return -__kernel_sinl(y[0],y[1],1);
84 return -__kernel_cosl(y[0],y[1]);
88 long_double_symbol (libm, __sinl, sinl);