xref: /illumos-gate/usr/src/lib/libm/common/LD/log1pl.c (revision 25c28e83beb90e7c80452a7c818c5e6f73a07dc8)
1*25c28e83SPiotr Jasiukajtis /*
2*25c28e83SPiotr Jasiukajtis  * CDDL HEADER START
3*25c28e83SPiotr Jasiukajtis  *
4*25c28e83SPiotr Jasiukajtis  * The contents of this file are subject to the terms of the
5*25c28e83SPiotr Jasiukajtis  * Common Development and Distribution License (the "License").
6*25c28e83SPiotr Jasiukajtis  * You may not use this file except in compliance with the License.
7*25c28e83SPiotr Jasiukajtis  *
8*25c28e83SPiotr Jasiukajtis  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
9*25c28e83SPiotr Jasiukajtis  * or http://www.opensolaris.org/os/licensing.
10*25c28e83SPiotr Jasiukajtis  * See the License for the specific language governing permissions
11*25c28e83SPiotr Jasiukajtis  * and limitations under the License.
12*25c28e83SPiotr Jasiukajtis  *
13*25c28e83SPiotr Jasiukajtis  * When distributing Covered Code, include this CDDL HEADER in each
14*25c28e83SPiotr Jasiukajtis  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
15*25c28e83SPiotr Jasiukajtis  * If applicable, add the following below this CDDL HEADER, with the
16*25c28e83SPiotr Jasiukajtis  * fields enclosed by brackets "[]" replaced with your own identifying
17*25c28e83SPiotr Jasiukajtis  * information: Portions Copyright [yyyy] [name of copyright owner]
18*25c28e83SPiotr Jasiukajtis  *
19*25c28e83SPiotr Jasiukajtis  * CDDL HEADER END
20*25c28e83SPiotr Jasiukajtis  */
21*25c28e83SPiotr Jasiukajtis 
22*25c28e83SPiotr Jasiukajtis /*
23*25c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
24*25c28e83SPiotr Jasiukajtis  */
25*25c28e83SPiotr Jasiukajtis /*
26*25c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
27*25c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
28*25c28e83SPiotr Jasiukajtis  */
29*25c28e83SPiotr Jasiukajtis 
30*25c28e83SPiotr Jasiukajtis #if defined(ELFOBJ)
31*25c28e83SPiotr Jasiukajtis #pragma weak log1pl = __log1pl
32*25c28e83SPiotr Jasiukajtis #endif
33*25c28e83SPiotr Jasiukajtis 
34*25c28e83SPiotr Jasiukajtis /*
35*25c28e83SPiotr Jasiukajtis  * log1pl(x)
36*25c28e83SPiotr Jasiukajtis  * Kahan's trick based on log(1+x)/x being a slow varying function.
37*25c28e83SPiotr Jasiukajtis  */
38*25c28e83SPiotr Jasiukajtis 
39*25c28e83SPiotr Jasiukajtis #include "libm.h"
40*25c28e83SPiotr Jasiukajtis 
41*25c28e83SPiotr Jasiukajtis #if defined(__x86)
42*25c28e83SPiotr Jasiukajtis #define	__swapRD	__swap87RD
43*25c28e83SPiotr Jasiukajtis #endif
44*25c28e83SPiotr Jasiukajtis extern enum fp_direction_type __swapRD(enum fp_direction_type);
45*25c28e83SPiotr Jasiukajtis 
46*25c28e83SPiotr Jasiukajtis long double
47*25c28e83SPiotr Jasiukajtis log1pl(long double x) {
48*25c28e83SPiotr Jasiukajtis 	long double y;
49*25c28e83SPiotr Jasiukajtis 	enum fp_direction_type rd;
50*25c28e83SPiotr Jasiukajtis 
51*25c28e83SPiotr Jasiukajtis 	if (x != x)
52*25c28e83SPiotr Jasiukajtis 		return (x + x);
53*25c28e83SPiotr Jasiukajtis 	if (x < -1.L)
54*25c28e83SPiotr Jasiukajtis 		return (logl(x));
55*25c28e83SPiotr Jasiukajtis 	rd = __swapRD(fp_nearest);
56*25c28e83SPiotr Jasiukajtis 	y = 1.L + x;
57*25c28e83SPiotr Jasiukajtis 	if (y != 1.L) {
58*25c28e83SPiotr Jasiukajtis 		if (y == x)
59*25c28e83SPiotr Jasiukajtis 			x = logl(x);
60*25c28e83SPiotr Jasiukajtis 		else
61*25c28e83SPiotr Jasiukajtis 			x *= logl(y) / (y - 1.L);
62*25c28e83SPiotr Jasiukajtis 	}
63*25c28e83SPiotr Jasiukajtis 	if (rd != fp_nearest)
64*25c28e83SPiotr Jasiukajtis 		(void) __swapRD(rd);
65*25c28e83SPiotr Jasiukajtis 	return (x);
66*25c28e83SPiotr Jasiukajtis }
67