/* * 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. */ #if defined(ELFOBJ) #pragma weak log10l = __log10l #endif /* * log10l(X) * * Method : * Let log10_2hi = leading 98(SPARC)/49(x86) bits of log10(2) and * log10_2lo = log10(2) - log10_2hi, * ivln10 = 1/log(10) rounded. * Then * n = ilogb(x), * if (n<0) n = n+1; * x = scalbn(x,-n); * LOG10(x) := n*log10_2hi + (n*log10_2lo + ivln10*log(x)) * * Note1: * For fear of destroying log10(10**n)=n, the rounding mode is * set to Round-to-Nearest. * * Special cases: * log10(x) is NaN with signal if x < 0; * log10(+INF) is +INF with no signal; log10(0) is -INF with signal; * log10(NaN) is that NaN with no signal; * log10(10**N) = N for N=0,1,...,22. * * Constants: * The hexadecimal values are the intended ones for the following constants. * The decimal values may be used, provided that the compiler will convert * from decimal to binary accurately enough to produce the hexadecimal values * shown. */ #include "libm.h" #include "longdouble.h" #if defined(__x86) #define __swapRD __swap87RD #endif extern enum fp_direction_type __swapRD(enum fp_direction_type); static const long double zero = 0.0L, ivln10 = 4.342944819032518276511289189166050822944e-0001L, one = 1.0L, #if defined(__x86) log10_2hi = 3.010299956639803653501985536422580480576e-01L, log10_2lo = 8.298635403410822349787106337291183585413e-16L; #elif defined(__sparc) log10_2hi = 3.010299956639811952137388947242098603469e-01L, log10_2lo = 2.831664213089468167896664371953210945664e-31L; #else #error Unknown Architecture! #endif long double log10l(long double x) { long double y, z; enum fp_direction_type rd; int n; if (!finitel(x)) return (x + fabsl(x)); /* x is +-INF or NaN */ else if (x > zero) { n = ilogbl(x); if (n < 0) n += 1; rd = __swapRD(fp_nearest); y = n; x = scalbnl(x, -n); z = y * log10_2lo + ivln10 * logl(x); z += y * log10_2hi; if (rd != fp_nearest) (void) __swapRD(rd); return (z); } else if (x == zero) /* -INF */ return (-one / zero); else /* x <0, return NaN */ return (zero / zero); }