xref: /freebsd/lib/msun/src/s_tanhf.c (revision 2357939bc239bd5334a169b62313806178dd8f30)
1 /* s_tanhf.c -- float version of s_tanh.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 #ifndef lint
17 static char rcsid[] = "$FreeBSD$";
18 #endif
19 
20 #include "math.h"
21 #include "math_private.h"
22 
23 static const float one=1.0, two=2.0, tiny = 1.0e-30;
24 
25 float
26 tanhf(float x)
27 {
28 	float t,z;
29 	int32_t jx,ix;
30 
31 	GET_FLOAT_WORD(jx,x);
32 	ix = jx&0x7fffffff;
33 
34     /* x is INF or NaN */
35 	if(ix>=0x7f800000) {
36 	    if (jx>=0) return one/x+one;    /* tanh(+-inf)=+-1 */
37 	    else       return one/x-one;    /* tanh(NaN) = NaN */
38 	}
39 
40     /* |x| < 22 */
41 	if (ix < 0x41b00000) {		/* |x|<22 */
42 	    if (ix<0x24000000) 		/* |x|<2**-55 */
43 		return x*(one+x);    	/* tanh(small) = small */
44 	    if (ix>=0x3f800000) {	/* |x|>=1  */
45 		t = expm1f(two*fabsf(x));
46 		z = one - two/(t+two);
47 	    } else {
48 	        t = expm1f(-two*fabsf(x));
49 	        z= -t/(t+two);
50 	    }
51     /* |x| > 22, return +-1 */
52 	} else {
53 	    z = one - tiny;		/* raised inexact flag */
54 	}
55 	return (jx>=0)? z: -z;
56 }
57