diff options
author | Joseph Myers <joseph@codesourcery.com> | 2013-05-08 11:58:18 +0000 |
---|---|---|
committer | Joseph Myers <joseph@codesourcery.com> | 2013-05-08 11:58:18 +0000 |
commit | d8cd06db62d92f86cc8cc3c0d6a489bd207bb834 (patch) | |
tree | 3906235135ce8e0b4ea11d5dadc076699be07738 /sysdeps/ieee754/ldbl-128ibm/gamma_productl.c | |
parent | bb7cf681e90d5aa2d867aeff4948ac605447de7d (diff) | |
download | glibc-d8cd06db62d92f86cc8cc3c0d6a489bd207bb834.tar.gz glibc-d8cd06db62d92f86cc8cc3c0d6a489bd207bb834.tar.xz glibc-d8cd06db62d92f86cc8cc3c0d6a489bd207bb834.zip |
Improve tgamma accuracy (bugs 2546, 2560, 5159, 15426).
Diffstat (limited to 'sysdeps/ieee754/ldbl-128ibm/gamma_productl.c')
-rw-r--r-- | sysdeps/ieee754/ldbl-128ibm/gamma_productl.c | 42 |
1 files changed, 42 insertions, 0 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/gamma_productl.c b/sysdeps/ieee754/ldbl-128ibm/gamma_productl.c new file mode 100644 index 0000000000..7c6186d230 --- /dev/null +++ b/sysdeps/ieee754/ldbl-128ibm/gamma_productl.c @@ -0,0 +1,42 @@ +/* Compute a product of X, X+1, ..., with an error estimate. + Copyright (C) 2013 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library 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 of the License, or (at your option) any later version. + + The GNU C Library 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. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <http://www.gnu.org/licenses/>. */ + +#include <math.h> +#include <math_private.h> + +/* Compute the product of X + X_EPS, X + X_EPS + 1, ..., X + X_EPS + N + - 1, in the form R * (1 + *EPS) where the return value R is an + approximation to the product and *EPS is set to indicate the + approximate error in the return value. X is such that all the + values X + 1, ..., X + N - 1 are exactly representable, and X_EPS / + X is small enough that factors quadratic in it can be + neglected. */ + +long double +__gamma_productl (long double x, long double x_eps, int n, long double *eps) +{ + long double ret = x; + *eps = x_eps / x; + for (int i = 1; i < n; i++) + { + *eps += x_eps / (x + i); + ret *= x + i; + /* FIXME: no error estimates for the multiplication. */ + } + return ret; +} |