1 /* e_coshf.c -- float version of e_cosh.c.
2 * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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
13 * ====================================================
17 static char rcsid[] = "$FreeBSD$";
21 #include "math_private.h"
23 static const float one = 1.0, half=0.5, huge = 1.0e30;
26 __ieee754_coshf(float x)
35 if(ix>=0x7f800000) return x*x;
37 /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
41 if (ix<0x24000000) return w; /* cosh(tiny) = 1 */
42 return one+(t*t)/(w+w);
45 /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
46 if (ix < 0x41b00000) {
47 t = __ieee754_expf(fabsf(x));
51 /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
52 if (ix < 0x42b17180) return half*__ieee754_expf(fabsf(x));
54 /* |x| in [log(maxdouble), overflowthresold] */
56 w = __ieee754_expf(half*fabsf(x));
61 /* |x| > overflowthresold, cosh(x) overflow */