/* * 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. */ #include "libm.h" #include "longdouble.h" /* * exp10l(x) * n = nint(x*(log10/log2)) ; * exp10(x) = 10**x = exp(x*ln(10)) = exp(n*ln2+(x*ln10-n*ln2)) * = 2**n*exp(ln10*(x-n*log2/log10))) * If x is an integer <= M then use repeat multiplication. For * 10**M is the largest representable integer, where * M = 10 single precision (24 bits) * M = 22 double precision (53 bits) * M = 48 quadruple precision (113 bits) */ #define TINY 1.0e-20L /* single: 1e-5, double: 1e-10, quad: 1e-20 */ #define LG10OVT 4933.L /* single: 39, double: 309, quad: 4933 */ #define LG10UFT -4966.L /* single: -45, double: -323, quad: -4966 */ #define M 48 /* logt2hi : last 32 bits is zero for quad prec */ #define LOGT2HI 0.30102999566398119521373889472420986034688L #define LOGT2LO 2.831664213089468167896664371953e-31L static const long double zero = 0.0L, tiny = TINY * TINY, one = 1.0L, lg10 = 3.321928094887362347870319429489390175865e+0000L, ln10 = 2.302585092994045684017991454684364207601e+0000L, logt2hi = LOGT2HI, logt2lo = LOGT2LO, lg10ovt = LG10OVT, lg10uft = LG10UFT; long double exp10l(long double x) { long double t, tenp; int k; if (!finitel(x)) { if (isnanl(x) || x > zero) return (x + x); else return (zero); } if (fabsl(x) < tiny) return (one + x); if (x <= lg10ovt) if (x >= lg10uft) { k = (int) x; tenp = 10.0L; /* x is a small +integer */ if (0 <= k && k <= M && (long double) k == x) { t = one; if (k & 1) t *= tenp; k >>= 1; while (k) { tenp *= tenp; if (k & 1) t *= tenp; k >>= 1; } return (t); } t = anintl(x * lg10); return (scalbnl(expl(ln10 * ((x - t * logt2hi) - t * logt2lo)), (int) t)); } else return (scalbnl(one, -50000)); /* underflow */ else return (scalbnl(one, 50000)); /* overflow */ }