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From: | Dmitri A. Sergatskov |
Subject: | [Octave-bug-tracker] [bug #61143] Functions sum and mean returns wrong answer for single precision input |
Date: | Sat, 11 Sep 2021 16:55:48 -0400 (EDT) |
User-agent: | Mozilla/5.0 (X11; Linux x86_64; rv:78.0) Gecko/20100101 Firefox/78.0 |
Follow-up Comment #12, bug #61143 (project octave): >From the wiki page <<< Although there are other techniques such as Kahan summation that typically have even smaller round-off errors, pairwise summation is nearly as good (differing only by a logarithmic factor) while having much lower computational cost—it can be implemented so as to have nearly the same cost (and exactly the same number of arithmetic operations) as naive summation. >>> and <<<< Pairwise summation is the default summation algorithm in NumPy[8] and the Julia technical-computing language,[9] where in both cases it was found to have comparable speed to naive summation (thanks to the use of a large base case). Other software implementations include the HPCsharp library[10] for the C Sharp language and the standard library summation[11] in D. >>>> _______________________________________________________ Reply to this item at: <https://savannah.gnu.org/bugs/?61143> _______________________________________________ Message sent via Savannah https://savannah.gnu.org/
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