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+/* sys/expm1.c
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman, Brian Gough
+ *
+ * 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 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
+ */
+
+#include <config.h>
+#include <math.h>
+#include <gsl/gsl_math.h>
+
+double gsl_expm1 (const double x)
+{
+ /* FIXME: this should be improved */
+
+ if (fabs(x) < M_LN2)
+ {
+ /* Compute the taylor series S = x + (1/2!) x^2 + (1/3!) x^3 + ... */
+
+ double i = 1.0;
+ double sum = x;
+ double term = x / 1.0;
+
+ do
+ {
+ i++ ;
+ term *= x/i;
+ sum += term;
+ }
+ while (fabs(term) > fabs(sum) * GSL_DBL_EPSILON) ;
+
+ return sum ;
+ }
+ else
+ {
+ return exp(x) - 1;
+ }
+}