xref: /titanic_51/usr/src/lib/libm/common/LD/log1pl.c (revision ddc0e0b53c661f6e439e3b7072b3ef353eadb4af)
125c28e83SPiotr Jasiukajtis /*
225c28e83SPiotr Jasiukajtis  * CDDL HEADER START
325c28e83SPiotr Jasiukajtis  *
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525c28e83SPiotr Jasiukajtis  * Common Development and Distribution License (the "License").
625c28e83SPiotr Jasiukajtis  * You may not use this file except in compliance with the License.
725c28e83SPiotr Jasiukajtis  *
825c28e83SPiotr Jasiukajtis  * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
925c28e83SPiotr Jasiukajtis  * or http://www.opensolaris.org/os/licensing.
1025c28e83SPiotr Jasiukajtis  * See the License for the specific language governing permissions
1125c28e83SPiotr Jasiukajtis  * and limitations under the License.
1225c28e83SPiotr Jasiukajtis  *
1325c28e83SPiotr Jasiukajtis  * When distributing Covered Code, include this CDDL HEADER in each
1425c28e83SPiotr Jasiukajtis  * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
1525c28e83SPiotr Jasiukajtis  * If applicable, add the following below this CDDL HEADER, with the
1625c28e83SPiotr Jasiukajtis  * fields enclosed by brackets "[]" replaced with your own identifying
1725c28e83SPiotr Jasiukajtis  * information: Portions Copyright [yyyy] [name of copyright owner]
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2025c28e83SPiotr Jasiukajtis  */
2125c28e83SPiotr Jasiukajtis 
2225c28e83SPiotr Jasiukajtis /*
2325c28e83SPiotr Jasiukajtis  * Copyright 2011 Nexenta Systems, Inc.  All rights reserved.
2425c28e83SPiotr Jasiukajtis  */
2525c28e83SPiotr Jasiukajtis /*
2625c28e83SPiotr Jasiukajtis  * Copyright 2006 Sun Microsystems, Inc.  All rights reserved.
2725c28e83SPiotr Jasiukajtis  * Use is subject to license terms.
2825c28e83SPiotr Jasiukajtis  */
2925c28e83SPiotr Jasiukajtis 
30*ddc0e0b5SRichard Lowe #pragma weak __log1pl = log1pl
3125c28e83SPiotr Jasiukajtis 
3225c28e83SPiotr Jasiukajtis /*
3325c28e83SPiotr Jasiukajtis  * log1pl(x)
3425c28e83SPiotr Jasiukajtis  * Kahan's trick based on log(1+x)/x being a slow varying function.
3525c28e83SPiotr Jasiukajtis  */
3625c28e83SPiotr Jasiukajtis 
3725c28e83SPiotr Jasiukajtis #include "libm.h"
3825c28e83SPiotr Jasiukajtis 
3925c28e83SPiotr Jasiukajtis #if defined(__x86)
4025c28e83SPiotr Jasiukajtis #define	__swapRD	__swap87RD
4125c28e83SPiotr Jasiukajtis #endif
4225c28e83SPiotr Jasiukajtis extern enum fp_direction_type __swapRD(enum fp_direction_type);
4325c28e83SPiotr Jasiukajtis 
4425c28e83SPiotr Jasiukajtis long double
4525c28e83SPiotr Jasiukajtis log1pl(long double x) {
4625c28e83SPiotr Jasiukajtis 	long double y;
4725c28e83SPiotr Jasiukajtis 	enum fp_direction_type rd;
4825c28e83SPiotr Jasiukajtis 
4925c28e83SPiotr Jasiukajtis 	if (x != x)
5025c28e83SPiotr Jasiukajtis 		return (x + x);
5125c28e83SPiotr Jasiukajtis 	if (x < -1.L)
5225c28e83SPiotr Jasiukajtis 		return (logl(x));
5325c28e83SPiotr Jasiukajtis 	rd = __swapRD(fp_nearest);
5425c28e83SPiotr Jasiukajtis 	y = 1.L + x;
5525c28e83SPiotr Jasiukajtis 	if (y != 1.L) {
5625c28e83SPiotr Jasiukajtis 		if (y == x)
5725c28e83SPiotr Jasiukajtis 			x = logl(x);
5825c28e83SPiotr Jasiukajtis 		else
5925c28e83SPiotr Jasiukajtis 			x *= logl(y) / (y - 1.L);
6025c28e83SPiotr Jasiukajtis 	}
6125c28e83SPiotr Jasiukajtis 	if (rd != fp_nearest)
6225c28e83SPiotr Jasiukajtis 		(void) __swapRD(rd);
6325c28e83SPiotr Jasiukajtis 	return (x);
6425c28e83SPiotr Jasiukajtis }
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