xref: /netbsd/lib/libm/src/e_sinhf.c (revision bf9ec67e)
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 <sys/cdefs.h>
17 #if defined(LIBM_SCCS) && !defined(lint)
18 __RCSID("$NetBSD: e_sinhf.c,v 1.7 2002/05/26 22:01:52 wiz Exp $");
19 #endif
20 
21 #include "math.h"
22 #include "math_private.h"
23 
24 static const float one = 1.0, shuge = 1.0e37;
25 
26 float
27 __ieee754_sinhf(float x)
28 {
29 	float t,w,h;
30 	int32_t ix,jx;
31 
32 	GET_FLOAT_WORD(jx,x);
33 	ix = jx&0x7fffffff;
34 
35     /* x is INF or NaN */
36 	if(ix>=0x7f800000) return x+x;
37 
38 	h = 0.5;
39 	if (jx<0) h = -h;
40     /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
41 	if (ix < 0x41b00000) {		/* |x|<22 */
42 	    if (ix<0x31800000) 		/* |x|<2**-28 */
43 		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
44 	    t = expm1f(fabsf(x));
45 	    if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
46 	    return h*(t+t/(t+one));
47 	}
48 
49     /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
50 	if (ix < 0x42b17180)  return h*__ieee754_expf(fabsf(x));
51 
52     /* |x| in [log(maxdouble), overflowthresold] */
53 	if (ix<=0x42b2d4fc) {
54 	    w = __ieee754_expf((float)0.5*fabsf(x));
55 	    t = h*w;
56 	    return t*w;
57 	}
58 
59     /* |x| > overflowthresold, sinh(x) overflow */
60 	return x*shuge;
61 }
62