xref: /freebsd/lib/msun/src/s_tanhf.c (revision d0b2dbfa0ecf2bbc9709efc5e20baf8e4b44bbbf)
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 #include <sys/cdefs.h>
17 #include "math.h"
18 #include "math_private.h"
19 
20 static const volatile float tiny = 1.0e-30;
21 static const float one=1.0, two=2.0, huge = 1.0e30;
22 
23 float
24 tanhf(float x)
25 {
26 	float t,z;
27 	int32_t jx,ix;
28 
29 	GET_FLOAT_WORD(jx,x);
30 	ix = jx&0x7fffffff;
31 
32     /* x is INF or NaN */
33 	if(ix>=0x7f800000) {
34 	    if (jx>=0) return one/x+one;    /* tanh(+-inf)=+-1 */
35 	    else       return one/x-one;    /* tanh(NaN) = NaN */
36 	}
37 
38     /* |x| < 9 */
39 	if (ix < 0x41100000) {		/* |x|<9 */
40 	    if (ix<0x39800000) {	/* |x|<2**-12 */
41 		if(huge+x>one) return x; /* tanh(tiny) = tiny with inexact */
42 	    }
43 	    if (ix>=0x3f800000) {	/* |x|>=1  */
44 		t = expm1f(two*fabsf(x));
45 		z = one - two/(t+two);
46 	    } else {
47 	        t = expm1f(-two*fabsf(x));
48 	        z= -t/(t+two);
49 	    }
50     /* |x| >= 9, return +-1 */
51 	} else {
52 	    z = one - tiny;		/* raise inexact flag */
53 	}
54 	return (jx>=0)? z: -z;
55 }
56