/* Emulation for expl.
Contributed by Paolo Bonzini
- Copyright 2002, 2003 Free Software Foundation, Inc.
+ Copyright 2002-2003, 2007, 2009-2012 Free Software Foundation, Inc.
This file is part of gnulib.
- This program is free software; you can redistribute it and/or modify
+ This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
- the Free Software Foundation; either version 2, or (at your option)
- any later version.
+ the Free Software Foundation; either version 3 of the License, or
+ (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
- You should have received a copy of the GNU General Public License along
- with this program; if not, write to the Free Software Foundation,
- Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>. */
-#include <float.h>
+#include <config.h>
+
+/* Specification. */
#include <math.h>
-#include "mathl.h"
+#if HAVE_SAME_LONG_DOUBLE_AS_DOUBLE
+
+long double
+expl (long double x)
+{
+ return exp (x);
+}
+
+#else
+
+# include <float.h>
static const long double C[] = {
-/* Chebyshev polynom coeficients for (exp(x)-1)/x */
-#define P1 C[0]
-#define P2 C[1]
-#define P3 C[2]
-#define P4 C[3]
-#define P5 C[4]
-#define P6 C[5]
+/* Chebyshev polynomial coefficients for (exp(x)-1)/x */
+# define P1 C[0]
+# define P2 C[1]
+# define P3 C[2]
+# define P4 C[3]
+# define P5 C[4]
+# define P6 C[5]
0.5L,
1.66666666666666666666666666666666683E-01L,
4.16666666666666666666654902320001674E-02L,
1.98412698413981650382436541785404286E-04L,
/* Smallest integer x for which e^x overflows. */
-#define himark C[6]
+# define himark C[6]
11356.523406294143949491931077970765L,
/* Largest integer x for which e^x underflows. */
-#define lomark C[7]
+# define lomark C[7]
-11433.4627433362978788372438434526231L,
/* very small number */
-#define TINY C[8]
+# define TINY C[8]
1.0e-4900L,
/* 2^16383 */
-#define TWO16383 C[9]
+# define TWO16383 C[9]
5.94865747678615882542879663314003565E+4931L};
long double
x -= exponent / 8.0L;
if (x > 0.0625)
- {
- exponent++;
- x -= 0.125L;
- }
+ {
+ exponent++;
+ x -= 0.125L;
+ }
if (exponent < 0)
{
t = 0.8824969025845954028648921432290507362220L; /* e^-0.25 */
- exponent = -exponent;
- }
+ exponent = -exponent;
+ }
else
t = 1.1331484530668263168290072278117938725655L; /* e^0.25 */
}
/* Approximate (e^x - 1)/x, using a seventh-degree polynomial,
- with maximum error in [-2^-16-2^-53,2^-16+2^-53]
- less than 4.8e-39. */
+ with maximum error in [-2^-16-2^-53,2^-16+2^-53]
+ less than 4.8e-39. */
x22 = x + x*x*(P1+x*(P2+x*(P3+x*(P4+x*(P5+x*P6)))));
return result + result * x22;
else if (x < himark)
{
if (x + x == x)
- /* e^-inf == 0, with no error. */
- return 0;
+ /* e^-inf == 0, with no error. */
+ return 0;
else
- /* Underflow */
- return TINY * TINY;
+ /* Underflow */
+ return TINY * TINY;
}
else
/* Return x, if x is a NaN or Inf; or overflow, otherwise. */
return TWO16383*x;
}
+#endif
+
#if 0
int
-main ()
+main (void)
{
- printf ("%.16Lg\n", expl(1.0L));
- printf ("%.16Lg\n", expl(-1.0L));
- printf ("%.16Lg\n", expl(2.0L));
- printf ("%.16Lg\n", expl(4.0L));
- printf ("%.16Lg\n", expl(-2.0L));
- printf ("%.16Lg\n", expl(-4.0L));
- printf ("%.16Lg\n", expl(0.0625L));
- printf ("%.16Lg\n", expl(0.3L));
- printf ("%.16Lg\n", expl(0.6L));
+ printf ("%.16Lg\n", expl (1.0L));
+ printf ("%.16Lg\n", expl (-1.0L));
+ printf ("%.16Lg\n", expl (2.0L));
+ printf ("%.16Lg\n", expl (4.0L));
+ printf ("%.16Lg\n", expl (-2.0L));
+ printf ("%.16Lg\n", expl (-4.0L));
+ printf ("%.16Lg\n", expl (0.0625L));
+ printf ("%.16Lg\n", expl (0.3L));
+ printf ("%.16Lg\n", expl (0.6L));
}
#endif