xref: /titanic_41/usr/src/lib/libm/common/LD/log1pl.c (revision d6e098b6e116b68f7b561b91cc6b9dcce32ec0ec)
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 __log1pl = log1pl
31 
32 /*
33  * log1pl(x)
34  * Kahan's trick based on log(1+x)/x being a slow varying function.
35  */
36 
37 #include "libm.h"
38 
39 #if defined(__x86)
40 #define	__swapRD	__swap87RD
41 #endif
42 extern enum fp_direction_type __swapRD(enum fp_direction_type);
43 
44 long double
45 log1pl(long double x) {
46 	long double y;
47 	enum fp_direction_type rd;
48 
49 	if (x != x)
50 		return (x + x);
51 	if (x < -1.L)
52 		return (logl(x));
53 	rd = __swapRD(fp_nearest);
54 	y = 1.L + x;
55 	if (y != 1.L) {
56 		if (y == x)
57 			x = logl(x);
58 		else
59 			x *= logl(y) / (y - 1.L);
60 	}
61 	if (rd != fp_nearest)
62 		(void) __swapRD(rd);
63 	return (x);
64 }
65