xref: /illumos-gate/usr/src/lib/libm/common/Q/exp2l.c (revision 3ce5372277f4657ad0e52d36c979527c4ca22de2)
1 /*
2  * CDDL HEADER START
3  *
4  * The contents of this file are subject to the terms of the
5  * Common Development and Distribution License (the "License").
6  * You may not use this file except in compliance with the License.
7  *
8  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9  * or http://www.opensolaris.org/os/licensing.
10  * See the License for the specific language governing permissions
11  * and limitations under the License.
12  *
13  * When distributing Covered Code, include this CDDL HEADER in each
14  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15  * If applicable, add the following below this CDDL HEADER, with the
16  * fields enclosed by brackets "[]" replaced with your own identifying
17  * information: Portions Copyright [yyyy] [name of copyright owner]
18  *
19  * CDDL HEADER END
20  */
21 
22 /*
23  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
24  */
25 /*
26  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
27  * Use is subject to license terms.
28  */
29 
30 #pragma weak __exp2l = exp2l
31 
32 #include "libm.h"
33 #include "longdouble.h"
34 
35 /*
36  *	exp2l(x) = 2**x = 2**((x-anint(x))+anint(x))
37  *		 = 2**anint(x)*2**(x-anint(x))
38  *		 = 2**anint(x)*exp((x-anint(x))*ln2)
39  */
40 
41 #define	TINY	1.0e-20L	/* single: 1e-5, double: 1e-10, quad: 1e-20 */
42 #define	OVFLEXP	16400		/* single: 130,  double  1030,  quad: 16400 */
43 #define	UNFLEXP	-16520		/* single:-155,  double -1080,  quad:-16520 */
44 
45 static const long double
46 	zero = 0.0L,
47 	tiny = TINY * TINY,
48 	half = 0.5L,
49 	ln2 = 6.931471805599453094172321214581765680755e-0001L,
50 	one = 1.0L;
51 
52 static const int
53 	ovflexp = OVFLEXP,
54 	unflexp = UNFLEXP;
55 
56 long double
57 exp2l(long double x) {
58 	long double t;
59 
60 	if (!finitel(x)) {
61 		if (isnanl(x) || x > zero)
62 			return (x + x);
63 		else
64 			return (zero);
65 	}
66 	t = fabsl(x);
67 	if (t < half) {
68 		if (t < tiny)
69 			return (one + x);
70 		else
71 			return (expl(ln2 * x));
72 	}
73 	t = anintl(x);
74 	if (t < ovflexp) {
75 		if (t >= unflexp)
76 			return (scalbnl(expl(ln2 * (x - t)), (int) t));
77 		else
78 			return (scalbnl(one, unflexp));	/* underflow */
79 	} else
80 		return (scalbnl(one, ovflexp));	/* overflow  */
81 }
82