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1 | /* Compute a product of X, X+1, ..., with an error estimate. |
2 | Copyright (C) 2013-2018 Free Software Foundation, Inc. | |
3 | This file is part of the GNU C Library. | |
4 | ||
5 | The GNU C Library is free software; you can redistribute it and/or | |
6 | modify it under the terms of the GNU Lesser General Public | |
7 | License as published by the Free Software Foundation; either | |
8 | version 2.1 of the License, or (at your option) any later version. | |
9 | ||
10 | The GNU C Library is distributed in the hope that it will be useful, | |
11 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 | Lesser General Public License for more details. | |
14 | ||
15 | You should have received a copy of the GNU Lesser General Public | |
16 | License along with the GNU C Library; if not, see | |
17 | <http://www.gnu.org/licenses/>. */ | |
18 | ||
19 | #include "quadmath-imp.h" | |
20 | ||
21 | /* Compute the product of X + X_EPS, X + X_EPS + 1, ..., X + X_EPS + N | |
22 | - 1, in the form R * (1 + *EPS) where the return value R is an | |
23 | approximation to the product and *EPS is set to indicate the | |
24 | approximate error in the return value. X is such that all the | |
25 | values X + 1, ..., X + N - 1 are exactly representable, and X_EPS / | |
26 | X is small enough that factors quadratic in it can be | |
27 | neglected. */ | |
28 | ||
29 | __float128 | |
30 | __quadmath_gamma_productq (__float128 x, __float128 x_eps, int n, __float128 *eps) | |
31 | { | |
32 | SET_RESTORE_ROUNDF128 (FE_TONEAREST); | |
33 | __float128 ret = x; | |
34 | *eps = x_eps / x; | |
35 | for (int i = 1; i < n; i++) | |
36 | { | |
37 | *eps += x_eps / (x + i); | |
38 | __float128 lo; | |
39 | mul_splitq (&ret, &lo, ret, x + i); | |
40 | *eps += lo / ret; | |
41 | } | |
42 | return ret; | |
43 | } |