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      1 /* s_sinf.c -- float version of s_sin.c.
      2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian (at) cygnus.com.
      3  * Optimized by Bruce D. Evans.
      4  */
      5 
      6 /*
      7  * ====================================================
      8  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
      9  *
     10  * Developed at SunPro, a Sun Microsystems, Inc. business.
     11  * Permission to use, copy, modify, and distribute this
     12  * software is freely granted, provided that this notice
     13  * is preserved.
     14  * ====================================================
     15  */
     16 
     17 #ifndef lint
     18 static char rcsid[] = "$FreeBSD: src/lib/msun/src/s_sinf.c,v 1.14 2005/11/28 06:15:10 bde Exp $";
     19 #endif
     20 
     21 #include "math.h"
     22 #define	INLINE_KERNEL_COSDF
     23 #define	INLINE_KERNEL_SINDF
     24 #include "math_private.h"
     25 #include "k_cosf.c"
     26 #include "k_sinf.c"
     27 
     28 /* Small multiples of pi/2 rounded to double precision. */
     29 static const double
     30 s1pio2 = 1*M_PI_2,			/* 0x3FF921FB, 0x54442D18 */
     31 s2pio2 = 2*M_PI_2,			/* 0x400921FB, 0x54442D18 */
     32 s3pio2 = 3*M_PI_2,			/* 0x4012D97C, 0x7F3321D2 */
     33 s4pio2 = 4*M_PI_2;			/* 0x401921FB, 0x54442D18 */
     34 
     35 float
     36 sinf(float x)
     37 {
     38 	float y[2];
     39 	int32_t n, hx, ix;
     40 
     41 	GET_FLOAT_WORD(hx,x);
     42 	ix = hx & 0x7fffffff;
     43 
     44 	if(ix <= 0x3f490fda) {		/* |x| ~<= pi/4 */
     45 	    if(ix<0x39800000)		/* |x| < 2**-12 */
     46 		if(((int)x)==0) return x;	/* x with inexact if x != 0 */
     47 	    return __kernel_sindf(x);
     48 	}
     49 	if(ix<=0x407b53d1) {		/* |x| ~<= 5*pi/4 */
     50 	    if(ix<=0x4016cbe3) {	/* |x| ~<= 3pi/4 */
     51 		if(hx>0)
     52 		    return __kernel_cosdf(x - s1pio2);
     53 		else
     54 		    return -__kernel_cosdf(x + s1pio2);
     55 	    } else
     56 		return __kernel_sindf((hx > 0 ? s2pio2 : -s2pio2) - x);
     57 	}
     58 	if(ix<=0x40e231d5) {		/* |x| ~<= 9*pi/4 */
     59 	    if(ix<=0x40afeddf) {	/* |x| ~<= 7*pi/4 */
     60 		if(hx>0)
     61 		    return -__kernel_cosdf(x - s3pio2);
     62 		else
     63 		    return __kernel_cosdf(x + s3pio2);
     64 	    } else
     65 		return __kernel_sindf(x + (hx > 0 ? -s4pio2 : s4pio2));
     66 	}
     67 
     68     /* sin(Inf or NaN) is NaN */
     69 	else if (ix>=0x7f800000) return x-x;
     70 
     71     /* general argument reduction needed */
     72 	else {
     73 	    n = __ieee754_rem_pio2f(x,y);
     74 	    switch(n&3) {
     75 		case 0: return  __kernel_sindf((double)y[0]+y[1]);
     76 		case 1: return  __kernel_cosdf((double)y[0]+y[1]);
     77 		case 2: return  __kernel_sindf(-(double)y[0]-y[1]);
     78 		default:
     79 			return -__kernel_cosdf((double)y[0]+y[1]);
     80 	    }
     81 	}
     82 }
     83