xref: /titanic_41/usr/src/lib/libm/common/Q/log2l.c (revision 4f4499478f0aa55fc93bcd8030ba3d128663ae70)
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 /*
31  * log2l(x)
32  * RETURN THE BASE 2 LOGARITHM OF X
33  *
34  * Method:
35  *	purge off 0,INF, and NaN.
36  *	n = ilogb(x)
37  *	if (n<0) n+=1
38  *	z = scalbn(x,-n)
39  *	LOG2(x) = n + (1/ln2)*log(x)
40  */
41 
42 #pragma weak log2l = __log2l
43 
44 #include "libm.h"
45 #include "longdouble.h"
46 
47 static const long double
48 	zero 	= 0.0L,
49 	half	= 0.5L,
50 	one	= 1.0L,
51 	invln2	= 1.442695040888963407359924681001892137427e+0000L;
52 
53 long double
54 log2l(long double x) {
55 	int n;
56 
57 	if (x == zero || !finitel(x))
58 		return (logl(x));
59 	n = ilogbl(x);
60 	if (n < 0)
61 		n += 1;
62 	x = scalbnl(x, -n);
63 	if (x == half)
64 		return (n - one);
65 	return (n + invln2 * logl(x));
66 }
67