2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
7 * software is freely granted, provided that this notice
9 * ====================================================
13 * Return sine function of x.
16 * __kernel_sin ... sine function on [-pi/4,pi/4]
17 * __kernel_cos ... cose function on [-pi/4,pi/4]
18 * __ieee754_rem_pio2 ... argument reduction routine
21 * Let S,C and T denote the sin, cos and tan respectively on
22 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
23 * in [-pi/4 , +pi/4], and let n = k mod 4.
26 * n sin(x) cos(x) tan(x)
27 * ----------------------------------------------------------
32 * ----------------------------------------------------------
35 * Let trig be any of sin, cos, or tan.
36 * trig(+-INF) is NaN, with signals;
37 * trig(NaN) is that NaN;
40 * TRIG(x) returns trig(x) nearly rounded
46 #define INLINE_REM_PIO2
47 #include "math_private.h"
48 #include "e_rem_pio2.c"
61 if(ix <= 0x3fe921fb) {
62 if(ix<0x3e500000) /* |x| < 2**-26 */
63 {if((int)x==0) return x;} /* generate inexact */
64 return __kernel_sin(x,z,0);
67 /* sin(Inf or NaN) is NaN */
68 else if (ix>=0x7ff00000) return x-x;
70 /* argument reduction needed */
72 n = __ieee754_rem_pio2(x,y);
74 case 0: return __kernel_sin(y[0],y[1],1);
75 case 1: return __kernel_cos(y[0],y[1]);
76 case 2: return -__kernel_sin(y[0],y[1],1);
78 return -__kernel_cos(y[0],y[1]);
83 #if (LDBL_MANT_DIG == 53)
84 __weak_reference(sin, sinl);