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      1 /* e_sinhf.c -- float version of e_sinh.c.
      2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian (at) cygnus.com.
      3  */
      4 
      5 /*
      6  * ====================================================
      7  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
      8  *
      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
     12  * is preserved.
     13  * ====================================================
     14  */
     15 
     16 #include <sys/cdefs.h>
     17 __FBSDID("$FreeBSD$");
     18 
     19 #include "math.h"
     20 #include "math_private.h"
     21 
     22 static const float one = 1.0, shuge = 1.0e37;
     23 
     24 float
     25 __ieee754_sinhf(float x)
     26 {
     27 	float t,h;
     28 	int32_t ix,jx;
     29 
     30 	GET_FLOAT_WORD(jx,x);
     31 	ix = jx&0x7fffffff;
     32 
     33     /* x is INF or NaN */
     34 	if(ix>=0x7f800000) return x+x;
     35 
     36 	h = 0.5;
     37 	if (jx<0) h = -h;
     38     /* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */
     39 	if (ix < 0x41100000) {		/* |x|<9 */
     40 	    if (ix<0x39800000) 		/* |x|<2**-12 */
     41 		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
     42 	    t = expm1f(fabsf(x));
     43 	    if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
     44 	    return h*(t+t/(t+one));
     45 	}
     46 
     47     /* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */
     48 	if (ix < 0x42b17217)  return h*__ieee754_expf(fabsf(x));
     49 
     50     /* |x| in [logf(maxfloat), overflowthresold] */
     51 	if (ix<=0x42b2d4fc)
     52 	    return h*2.0F*__ldexp_expf(fabsf(x), -1);
     53 
     54     /* |x| > overflowthresold, sinh(x) overflow */
     55 	return x*shuge;
     56 }
     57