xref: /relibc/openlibm/src/e_sinhf.c (revision d07820351bed7d16f1f0a1ae0596a2e2b6f50aaf)
1 /* e_sinhf.c -- float version of e_sinh.c.
2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@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 "cdefs-compat.h"
17 //__FBSDID("$FreeBSD: src/lib/msun/src/e_sinhf.c,v 1.10 2011/10/21 06:28:47 das Exp $");
18 
19 #include <openlibm.h>
20 
21 #include "math_private.h"
22 
23 static const float one = 1.0, shuge = 1.0e37;
24 
25 DLLEXPORT float
26 __ieee754_sinhf(float x)
27 {
28 	float t,h;
29 	int32_t ix,jx;
30 
31 	GET_FLOAT_WORD(jx,x);
32 	ix = jx&0x7fffffff;
33 
34     /* x is INF or NaN */
35 	if(ix>=0x7f800000) return x+x;
36 
37 	h = 0.5;
38 	if (jx<0) h = -h;
39     /* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */
40 	if (ix < 0x41100000) {		/* |x|<9 */
41 	    if (ix<0x39800000) 		/* |x|<2**-12 */
42 		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
43 	    t = expm1f(fabsf(x));
44 	    if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
45 	    return h*(t+t/(t+one));
46 	}
47 
48     /* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */
49 	if (ix < 0x42b17217)  return h*__ieee754_expf(fabsf(x));
50 
51     /* |x| in [logf(maxfloat), overflowthresold] */
52 	if (ix<=0x42b2d4fc)
53 	    return h*2.0F*__ldexp_expf(fabsf(x), -1);
54 
55     /* |x| > overflowthresold, sinh(x) overflow */
56 	return x*shuge;
57 }
58