summaryrefslogtreecommitdiff
path: root/libquadmath/math/tgammaq_product.c
diff options
context:
space:
mode:
Diffstat (limited to 'libquadmath/math/tgammaq_product.c')
-rw-r--r--libquadmath/math/tgammaq_product.c43
1 files changed, 43 insertions, 0 deletions
diff --git a/libquadmath/math/tgammaq_product.c b/libquadmath/math/tgammaq_product.c
new file mode 100644
index 00000000000..8f9e56dbac2
--- /dev/null
+++ b/libquadmath/math/tgammaq_product.c
@@ -0,0 +1,43 @@
+/* Compute a product of X, X+1, ..., with an error estimate.
+ Copyright (C) 2013-2018 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 "quadmath-imp.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. */
+
+__float128
+__quadmath_gamma_productq (__float128 x, __float128 x_eps, int n, __float128 *eps)
+{
+ SET_RESTORE_ROUNDF128 (FE_TONEAREST);
+ __float128 ret = x;
+ *eps = x_eps / x;
+ for (int i = 1; i < n; i++)
+ {
+ *eps += x_eps / (x + i);
+ __float128 lo;
+ mul_splitq (&ret, &lo, ret, x + i);
+ *eps += lo / ret;
+ }
+ return ret;
+}