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authorpatacongo <patacongo@42af7a65-404d-4744-a932-0658087f49c3>2012-11-10 16:19:12 +0000
committerpatacongo <patacongo@42af7a65-404d-4744-a932-0658087f49c3>2012-11-10 16:19:12 +0000
commit0f11ac27b9b9dbdde216a700434b7fcdc47e1093 (patch)
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git-svn-id: svn://svn.code.sf.net/p/nuttx/code/trunk@5330 42af7a65-404d-4744-a932-0658087f49c3
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+/************************************************************************
+ * lib/math/lib_exp.c
+ *
+ * This file is a part of NuttX:
+ *
+ * Copyright (C) 2012 Gregory Nutt. All rights reserved.
+ * Ported by: Darcy Gong
+ *
+ * It derives from the Rhombs OS math library by Nick Johnson which has
+ * a compatibile, MIT-style license:
+ *
+ * Copyright (C) 2009-2011 Nick Johnson <nickbjohnson4224 at gmail.com>
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose with or without fee is hereby granted, provided that the above
+ * copyright notice and this permission notice appear in all copies.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
+ * WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
+ * ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
+ * WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
+ * ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
+ * OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
+ *
+ ************************************************************************/
+
+/************************************************************************
+ * Included Files
+ ************************************************************************/
+
+#include <nuttx/config.h>
+#include <nuttx/compiler.h>
+
+#include <sys/types.h>
+#include <math.h>
+
+#include "lib_internal.h"
+
+#ifdef CONFIG_HAVE_DOUBLE
+
+/************************************************************************
+ * Private Data
+ ************************************************************************/
+
+static double _dbl_inv_fact[] =
+{
+ 1.0 / 1.0, // 1 / 0!
+ 1.0 / 1.0, // 1 / 1!
+ 1.0 / 2.0, // 1 / 2!
+ 1.0 / 6.0, // 1 / 3!
+ 1.0 / 24.0, // 1 / 4!
+ 1.0 / 120.0, // 1 / 5!
+ 1.0 / 720.0, // 1 / 6!
+ 1.0 / 5040.0, // 1 / 7!
+ 1.0 / 40320.0, // 1 / 8!
+ 1.0 / 362880.0, // 1 / 9!
+ 1.0 / 3628800.0, // 1 / 10!
+ 1.0 / 39916800.0, // 1 / 11!
+ 1.0 / 479001600.0, // 1 / 12!
+ 1.0 / 6227020800.0, // 1 / 13!
+ 1.0 / 87178291200.0, // 1 / 14!
+ 1.0 / 1307674368000.0, // 1 / 15!
+ 1.0 / 20922789888000.0, // 1 / 16!
+ 1.0 / 355687428096000.0, // 1 / 17!
+ 1.0 / 6402373705728000.0, // 1 / 18!
+};
+
+/************************************************************************
+ * Public Functions
+ ************************************************************************/
+
+double exp(double x)
+{
+ size_t int_part;
+ bool invert;
+ double value;
+ double x0;
+ size_t i;
+
+ if (x == 0)
+ {
+ return 1;
+ }
+ else if (x < 0)
+ {
+ invert = true;
+ x = -x;
+ }
+ else
+ {
+ invert = false;
+ }
+
+ /* Extract integer component */
+
+ int_part = (size_t) x;
+
+ /* Set x to fractional component */
+
+ x -= (double)int_part;
+
+ /* Perform Taylor series approximation with nineteen terms */
+
+ value = 0.0;
+ x0 = 1.0;
+ for (i = 0; i < 19; i++)
+ {
+ value += x0 * _dbl_inv_fact[i];
+ x0 *= x;
+ }
+
+ /* Multiply by exp of the integer component */
+
+ value *= lib_expi(int_part);
+
+ if (invert)
+ {
+ return (1.0 / value);
+ }
+ else
+ {
+ return value;
+ }
+}
+#endif