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Diffstat (limited to 'gsl-1.9/sys/expm1.c')
-rw-r--r-- | gsl-1.9/sys/expm1.c | 50 |
1 files changed, 50 insertions, 0 deletions
diff --git a/gsl-1.9/sys/expm1.c b/gsl-1.9/sys/expm1.c new file mode 100644 index 0000000..c79d063 --- /dev/null +++ b/gsl-1.9/sys/expm1.c @@ -0,0 +1,50 @@ +/* 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; + } +} |