diff options
Diffstat (limited to 'usr/src/lib/libm/common/C/acosh.c')
-rw-r--r-- | usr/src/lib/libm/common/C/acosh.c | 96 |
1 files changed, 96 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/C/acosh.c b/usr/src/lib/libm/common/C/acosh.c new file mode 100644 index 0000000000..7eecfe635e --- /dev/null +++ b/usr/src/lib/libm/common/C/acosh.c @@ -0,0 +1,96 @@ +/* + * 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 acosh = __acosh + +/* INDENT OFF */ +/* + * acosh(x) + * Method : + * Based on + * acosh(x) = log [ x + sqrt(x*x-1) ] + * we have + * acosh(x) := log(x)+ln2, if x is large; else + * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x > 2; else + * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t = x-1. + * + * Special cases: + * acosh(x) is NaN with signal if x < 1. + * acosh(NaN) is NaN without signal. + */ +/* INDENT ON */ + +#include "libm_synonyms.h" /* __acosh, __log, __log1p */ +#include "libm_protos.h" /* _SVID_libm_error */ +#include "libm_macros.h" +#include <math.h> + +static const double + one = 1.0, + ln2 = 6.93147180559945286227e-01; /* 3FE62E42, FEFA39EF */ + +double +acosh(double x) { + double t; + int hx; + + hx = ((int *) &x)[HIWORD]; + if (hx < 0x3ff00000) { /* x < 1 */ + if (isnan(x)) +#if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN) + return (hx >= 0xfff80000 ? x : (x - x) / (x - x)); + /* assumes sparc-like QNaN */ +#else + return (x - x) / (x - x); +#endif + else + return (_SVID_libm_err(x, x, 29)); + } else if (hx >= 0x41b00000) { + /* x > 2**28 */ + if (hx >= 0x7ff00000) { /* x is inf of NaN */ +#if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN) + return (hx >= 0x7ff80000 ? x : x + x); + /* assumes sparc-like QNaN */ +#else + return (x + x); +#endif + } else /* acosh(huge)=log(2x) */ + return (log(x) + ln2); + } else if (((hx - 0x3ff00000) | ((int *) &x)[LOWORD]) == 0) { + return (0.0); /* acosh(1) = 0 */ + } else if (hx > 0x40000000) { + /* 2**28 > x > 2 */ + t = x * x; + return (log(2.0 * x - one / (x + sqrt(t - one)))); + } else { + /* 1 < x < 2 */ + t = x - one; + return (log1p(t + sqrt(2.0 * t + t * t))); + } +} |