/* Emulation for expl.
Contributed by Paolo Bonzini
- Copyright 2002, 2003 Free Software Foundation, Inc.
+ Copyright 2002, 2003, 2007, 2009, 2010 Free Software Foundation, Inc.
This file is part of gnulib.
- gnulib is free software; you can redistribute it and/or modify it
- under the terms of the GNU Lesser General Public License as published
- by the Free Software Foundation; either version 2.1, or (at your option)
- any later version.
+ 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 3 of the License, or
+ (at your option) any later version.
- gnulib 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 Lesser General Public
- License for more details.
+ 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 Lesser General Public License
- along with gnulib; see the file COPYING.LIB. If not, write to the Free
- Software Foundation, 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"
+#include <float.h>
static const long double C[] = {
/* Chebyshev polynom coeficients for (exp(x)-1)/x */
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. */
#if 0
int
-main ()
+main (void)
{
printf ("%.16Lg\n", expl(1.0L));
printf ("%.16Lg\n", expl(-1.0L));