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authorPiotr Jasiukajtis <estibi@me.com>2014-02-04 20:31:57 +0100
committerDan McDonald <danmcd@omniti.com>2014-10-17 18:00:52 -0400
commit25c28e83beb90e7c80452a7c818c5e6f73a07dc8 (patch)
tree95cb102e7fb37f52d4b3ec3e44508f352a335ee5 /usr/src/lib/libm/common/Q/exp10l.c
parent4e6070e87069f63bef94d8e79c2fc3cab2c1ab6b (diff)
downloadillumos-gate-25c28e83beb90e7c80452a7c818c5e6f73a07dc8.tar.gz
693 Opensource replacement of sunwlibm
Reviewed by: Igor Kozhukhov ikozhukhov@gmail.com Reviewed by: Keith M Wesolowski <keith.wesolowski@joyent.com> Reviewed by: Richard Lowe <richlowe@richlowe.net> Approved by: Dan McDonald <danmcd@omniti.com>
Diffstat (limited to 'usr/src/lib/libm/common/Q/exp10l.c')
-rw-r--r--usr/src/lib/libm/common/Q/exp10l.c104
1 files changed, 104 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/Q/exp10l.c b/usr/src/lib/libm/common/Q/exp10l.c
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+/*
+ * 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 exp10l = __exp10l
+
+#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 */
+}