diff options
Diffstat (limited to 'usr/src/lib/libm/common/LD/atanhl.c')
-rw-r--r-- | usr/src/lib/libm/common/LD/atanhl.c | 74 |
1 files changed, 74 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/LD/atanhl.c b/usr/src/lib/libm/common/LD/atanhl.c new file mode 100644 index 0000000000..d7b6d67e26 --- /dev/null +++ b/usr/src/lib/libm/common/LD/atanhl.c @@ -0,0 +1,74 @@ +/* + * CDDL HEADER START + * + * The contents of this file are subject to the terms of the + * Common Development and Distribution License (the "License"). + * You may not use this file except in compliance with the License. + * + * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE + * or http://www.opensolaris.org/os/licensing. + * See the License for the specific language governing permissions + * and limitations under the License. + * + * When distributing Covered Code, include this CDDL HEADER in each + * file and include the License file at usr/src/OPENSOLARIS.LICENSE. + * If applicable, add the following below this CDDL HEADER, with the + * fields enclosed by brackets "[]" replaced with your own identifying + * information: Portions Copyright [yyyy] [name of copyright owner] + * + * CDDL HEADER END + */ + +/* + * Copyright 2011 Nexenta Systems, Inc. All rights reserved. + */ +/* + * Copyright 2006 Sun Microsystems, Inc. All rights reserved. + * Use is subject to license terms. + */ + +#pragma weak atanhl = __atanhl + +#include "libm.h" +#include "libm_synonyms.h" + +#define GENERIC long double +#define ATANH atanhl + +/* ATANH(x) + * 1 2x x + * ATANH(x) = --- * LOG(1 + -------) = 0.5 * LOG1P(2 * --------) + * 2 1 - x 1 - x + * Note: to guarantee ATANH(-x) = -ATANH(x), we use + * sign(x) |x| + * ATANH(x) = ------- * LOG1P(2*-------). + * 2 1 - |x| + * + * Special cases: + * ATANH(x) is NaN if |x| > 1 with signal; + * ATANH(NaN) is that NaN with no signal; + * ATANH(+-1) is +-INF with signal. + * + */ + +#define FABS fabsl +#define LOG1P log1pl +#define COPYSIGN copysignl + + +extern GENERIC FABS(),LOG1P(),COPYSIGN(); + +static GENERIC +zero = (GENERIC) 0.0, +half = (GENERIC) 0.5, +one = (GENERIC) 1.0; + +GENERIC ATANH(x) +GENERIC x; +{ + GENERIC t; + t = FABS(x); + if (t == one) return x/zero; + t = t/(one-t); + return COPYSIGN(half,x)*LOG1P(t+t); +} |