| /* @(#)s_sin.c 5.1 93/09/24 */ |
| /* |
| * ==================================================== |
| * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| * |
| * Developed at SunPro, a Sun Microsystems, Inc. business. |
| * Permission to use, copy, modify, and distribute this |
| * software is freely granted, provided that this notice |
| * is preserved. |
| * ==================================================== |
| */ |
| |
| #include <sys/cdefs.h> |
| __FBSDID("$FreeBSD$"); |
| |
| /* sin(x) |
| * Return sine function of x. |
| * |
| * kernel function: |
| * __kernel_sin ... sine function on [-pi/4,pi/4] |
| * __kernel_cos ... cose function on [-pi/4,pi/4] |
| * __ieee754_rem_pio2 ... argument reduction routine |
| * |
| * Method. |
| * Let S,C and T denote the sin, cos and tan respectively on |
| * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2 |
| * in [-pi/4 , +pi/4], and let n = k mod 4. |
| * We have |
| * |
| * n sin(x) cos(x) tan(x) |
| * ---------------------------------------------------------- |
| * 0 S C T |
| * 1 C -S -1/T |
| * 2 -S -C T |
| * 3 -C S -1/T |
| * ---------------------------------------------------------- |
| * |
| * Special cases: |
| * Let trig be any of sin, cos, or tan. |
| * trig(+-INF) is NaN, with signals; |
| * trig(NaN) is that NaN; |
| * |
| * Accuracy: |
| * TRIG(x) returns trig(x) nearly rounded |
| */ |
| |
| #include <float.h> |
| |
| #include "math.h" |
| #define INLINE_REM_PIO2 |
| #include "math_private.h" |
| #include "e_rem_pio2.c" |
| |
| double |
| sin(double x) |
| { |
| double y[2],z=0.0; |
| int32_t n, ix; |
| |
| /* High word of x. */ |
| GET_HIGH_WORD(ix,x); |
| |
| /* |x| ~< pi/4 */ |
| ix &= 0x7fffffff; |
| if(ix <= 0x3fe921fb) { |
| if(ix<0x3e500000) /* |x| < 2**-26 */ |
| {if((int)x==0) return x;} /* generate inexact */ |
| return __kernel_sin(x,z,0); |
| } |
| |
| /* sin(Inf or NaN) is NaN */ |
| else if (ix>=0x7ff00000) return x-x; |
| |
| /* argument reduction needed */ |
| else { |
| n = __ieee754_rem_pio2(x,y); |
| switch(n&3) { |
| case 0: return __kernel_sin(y[0],y[1],1); |
| case 1: return __kernel_cos(y[0],y[1]); |
| case 2: return -__kernel_sin(y[0],y[1],1); |
| default: |
| return -__kernel_cos(y[0],y[1]); |
| } |
| } |
| } |
| |
| #if (LDBL_MANT_DIG == 53) |
| __weak_reference(sin, sinl); |
| #endif |
