xref: /freebsd/lib/msun/src/s_tanhf.c (revision 1e413cf93298b5b97441a21d9a50fdcd0ee9945e)
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, huge = 1.0e30;
24 float
25 tanhf(float x)
26 {
27 	float t,z;
28 	int32_t jx,ix;
29 
30 	GET_FLOAT_WORD(jx,x);
31 	ix = jx&0x7fffffff;
32 
33     /* x is INF or NaN */
34 	if(ix>=0x7f800000) {
35 	    if (jx>=0) return one/x+one;    /* tanh(+-inf)=+-1 */
36 	    else       return one/x-one;    /* tanh(NaN) = NaN */
37 	}
38 
39     /* |x| < 9 */
40 	if (ix < 0x41100000) {		/* |x|<9 */
41 	    if (ix<0x39800000) {	/* |x|<2**-12 */
42 		if(huge+x>one) return x; /* tanh(tiny) = tiny with inexact */
43 	    }
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| >= 9, return +-1 */
52 	} else {
53 	    z = one - tiny;		/* raise inexact flag */
54 	}
55 	return (jx>=0)? z: -z;
56 }
57