xref: /freebsd/lib/msun/src/e_sinhf.c (revision d0b2dbfa0ecf2bbc9709efc5e20baf8e4b44bbbf)
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 #include "math.h"
18 #include "math_private.h"
19 
20 static const float one = 1.0, shuge = 1.0e37;
21 
22 float
23 sinhf(float x)
24 {
25 	float t,h;
26 	int32_t ix,jx;
27 
28 	GET_FLOAT_WORD(jx,x);
29 	ix = jx&0x7fffffff;
30 
31     /* x is INF or NaN */
32 	if(ix>=0x7f800000) return x+x;
33 
34 	h = 0.5;
35 	if (jx<0) h = -h;
36     /* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */
37 	if (ix < 0x41100000) {		/* |x|<9 */
38 	    if (ix<0x39800000) 		/* |x|<2**-12 */
39 		if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
40 	    t = expm1f(fabsf(x));
41 	    if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
42 	    return h*(t+t/(t+one));
43 	}
44 
45     /* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */
46 	if (ix < 0x42b17217)  return h*expf(fabsf(x));
47 
48     /* |x| in [logf(maxfloat), overflowthresold] */
49 	if (ix<=0x42b2d4fc)
50 	    return h*2.0F*__ldexp_expf(fabsf(x), -1);
51 
52     /* |x| > overflowthresold, sinh(x) overflow */
53 	return x*shuge;
54 }
55