diff options
Diffstat (limited to 'usr/src/lib/libm/common/C/asinh.c')
-rw-r--r-- | usr/src/lib/libm/common/C/asinh.c | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/C/asinh.c b/usr/src/lib/libm/common/C/asinh.c new file mode 100644 index 0000000000..6d6b852009 --- /dev/null +++ b/usr/src/lib/libm/common/C/asinh.c @@ -0,0 +1,89 @@ +/* + * 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 asinh = __asinh + +/* INDENT OFF */ +/* + * asinh(x) + * Method : + * Based on + * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] + * we have + * asinh(x) := x if 1+x*x == 1, + * := sign(x)*(log(x)+ln2)) for large |x|, else + * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x| > 2, else + * := sign(x)*log1p(|x|+x^2/(1+sqrt(1+x^2))) + */ +/* INDENT ON */ + +#include "libm_synonyms.h" /* __asinh */ +#include "libm_macros.h" +#include <math.h> + +static const double xxx[] = { +/* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */ +/* ln2 */ 6.93147180559945286227e-01, /* 3FE62E42, FEFA39EF */ +/* huge */ 1.00000000000000000000e+300 +}; +#define one xxx[0] +#define ln2 xxx[1] +#define huge xxx[2] + +double +asinh(double x) { + double t, w; + int hx, ix; + + hx = ((int *) &x)[HIWORD]; + ix = hx & 0x7fffffff; + if (ix >= 0x7ff00000) +#if defined(FPADD_TRAPS_INCOMPLETE_ON_NAN) + return (ix >= 0x7ff80000 ? x : x + x); + /* assumes sparc-like QNaN */ +#else + return (x + x); /* x is inf or NaN */ +#endif + if (ix < 0x3e300000) { /* |x|<2**-28 */ + if (huge + x > one) + return (x); /* return x inexact except 0 */ + } + if (ix > 0x41b00000) { /* |x| > 2**28 */ + w = log(fabs(x)) + ln2; + } else if (ix > 0x40000000) { + /* 2**28 > |x| > 2.0 */ + t = fabs(x); + w = log(2.0 * t + one / (sqrt(x * x + one) + t)); + } else { + /* 2.0 > |x| > 2**-28 */ + t = x * x; + w = log1p(fabs(x) + t / (one + sqrt(one + t))); + } + return (hx > 0 ? w : -w); +} |