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Diffstat (limited to 'gsl-1.9/specfunc/elementary.c')
-rw-r--r-- | gsl-1.9/specfunc/elementary.c | 86 |
1 files changed, 86 insertions, 0 deletions
diff --git a/gsl-1.9/specfunc/elementary.c b/gsl-1.9/specfunc/elementary.c new file mode 100644 index 0000000..3d8a36d --- /dev/null +++ b/gsl-1.9/specfunc/elementary.c @@ -0,0 +1,86 @@ +/* specfunc/elementary.c + * + * Copyright (C) 1996, 1997, 1998, 1999, 2000 Gerard Jungman + * + * 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. + */ + +/* Author: G. Jungman */ + +#include <config.h> +#include <gsl/gsl_math.h> +#include <gsl/gsl_errno.h> +#include <gsl/gsl_sf_elementary.h> + +#include "error.h" +#include "check.h" + +int +gsl_sf_multiply_e(const double x, const double y, gsl_sf_result * result) +{ + const double ax = fabs(x); + const double ay = fabs(y); + + if(x == 0.0 || y == 0.0) { + /* It is necessary to eliminate this immediately. + */ + result->val = 0.0; + result->err = 0.0; + return GSL_SUCCESS; + } + else if((ax <= 1.0 && ay >= 1.0) || (ay <= 1.0 && ax >= 1.0)) { + /* Straddling 1.0 is always safe. + */ + result->val = x*y; + result->err = 2.0 * GSL_DBL_EPSILON * fabs(result->val); + return GSL_SUCCESS; + } + else { + const double f = 1.0 - 2.0 * GSL_DBL_EPSILON; + const double min = GSL_MIN_DBL(fabs(x), fabs(y)); + const double max = GSL_MAX_DBL(fabs(x), fabs(y)); + if(max < 0.9 * GSL_SQRT_DBL_MAX || min < (f * DBL_MAX)/max) { + result->val = GSL_COERCE_DBL(x*y); + result->err = 2.0 * GSL_DBL_EPSILON * fabs(result->val); + CHECK_UNDERFLOW(result); + return GSL_SUCCESS; + } + else { + OVERFLOW_ERROR(result); + } + } +} + + +int +gsl_sf_multiply_err_e(const double x, const double dx, + const double y, const double dy, + gsl_sf_result * result) +{ + int status = gsl_sf_multiply_e(x, y, result); + result->err += fabs(dx*y) + fabs(dy*x); + return status; +} + + +/*-*-*-*-*-*-*-*-*-* Functions w/ Natural Prototypes *-*-*-*-*-*-*-*-*-*-*/ + +#include "eval.h" + +double gsl_sf_multiply(const double x, const double y) +{ + EVAL_RESULT(gsl_sf_multiply_e(x, y, &result)); +} + |