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[/] [or1k/] [trunk/] [newlib-1.10.0/] [newlib/] [libm/] [math/] [ef_sinh.c] - Rev 1765

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/* ef_sinh.c -- float version of e_sinh.c.
 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
 */
 
/*
 * ====================================================
 * 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 "fdlibm.h"
 
#ifdef __STDC__
static const float one = 1.0, shuge = 1.0e37;
#else
static float one = 1.0, shuge = 1.0e37;
#endif
 
#ifdef __STDC__
	float __ieee754_sinhf(float x)
#else
	float __ieee754_sinhf(x)
	float x;
#endif
{	
	float t,w,h;
	__int32_t ix,jx;
 
	GET_FLOAT_WORD(jx,x);
	ix = jx&0x7fffffff;
 
    /* x is INF or NaN */
	if(!FLT_UWORD_IS_FINITE(ix)) return x+x;	
 
	h = 0.5;
	if (jx<0) h = -h;
    /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
	if (ix < 0x41b00000) {		/* |x|<22 */
	    if (ix<0x31800000) 		/* |x|<2**-28 */
		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
	    t = expm1f(fabsf(x));
	    if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
	    return h*(t+t/(t+one));
	}
 
    /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
	if (ix<=FLT_UWORD_LOG_MAX)  return h*__ieee754_expf(fabsf(x));
 
    /* |x| in [log(maxdouble), overflowthresold] */
	if (ix<=FLT_UWORD_LOG_2MAX) {
	    w = __ieee754_expf((float)0.5*fabsf(x));
	    t = h*w;
	    return t*w;
	}
 
    /* |x| > overflowthresold, sinh(x) overflow */
	return x*shuge;
}
 

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