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/* e_coshf.c -- float version of e_cosh.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
* Optimizations by Ulrich Drepper <drepper@gmail.com>, 2011
*/
/*
* ====================================================
* 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 <math.h>
#include <math_private.h>
static const float huge = 1.0e30;
static const float one = 1.0, half=0.5;
float
__ieee754_coshf (float x)
{
float t,w;
int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
/* |x| in [0,22] */
if (ix < 0x41b00000) {
/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
if(ix<0x3eb17218) {
if (ix<0x24000000) return one; /* cosh(tiny) = 1 */
t = __expm1f(fabsf(x));
w = one+t;
return one+(t*t)/(w+w);
}
/* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
t = __ieee754_expf(fabsf(x));
return half*t+half/t;
}
/* |x| in [22, log(maxdouble)] return half*exp(|x|) */
if (ix < 0x42b17180) return half*__ieee754_expf(fabsf(x));
/* |x| in [log(maxdouble), overflowthresold] */
if (ix<=0x42b2d4fc) {
w = __ieee754_expf(half*fabsf(x));
t = half*w;
return t*w;
}
/* x is INF or NaN */
if(ix>=0x7f800000) return x*x;
/* |x| > overflowthresold, cosh(x) overflow */
return math_narrow_eval (huge*huge);
}
strong_alias (__ieee754_coshf, __coshf_finite)
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