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Baker,Please see the poster. I attach it once more. It says clearly what the "exact" dot product is. It computes the dot product of two floating-point vectors exactly. "Faithfull" or "least bit accurate" are not sufficient for long interval arithmetic.
Best wishes Ulrich Am 07.02.2012 20:04, schrieb Ralph Baker Kearfott:
John, Ulrich, et al, I'm not sure where the disagreement is, and it seems like there is a bit of misunderstanding. In particular, motion 9, see http://grouper.ieee.org/groups/1788/private/Motions/AllMotions.html passed, and it says that the dot product will be in the standard. Thus, the argument must be related to how or where it is specified in the actual standards document. Regarding "exact" vs "accurate" or "faithful" dot product, this is still an element of informal, offline discussion. The title of Motion 9 was "exact dot product," so I assume this is what we voted on. (My link to the motion itself comes up blank.) The position paper is a description of uses of the dot product, but is not written as a motion, so it is not immediately apparent what the standard is to mandate. At the risk of delaying voting on the standard text, I wonder if someone would like to proffer a clarifying motion. Baker
-- Karlsruher Institut für Technologie (KIT) Institut für Angewandte und Numerische Mathematik (IANM2) D-76128 Karlsruhe, Germany Prof. Ulrich Kulisch Telefon: +49 721 608-42680 Fax: +49 721 608-46679 E-Mail: ulrich.kulisch@xxxxxxx www.kit.edu www.math.kit.edu/ianm2/~kulisch/ KIT - Universität des Landes Baden-Württemberg und nationales Großforschungszentrum in der Helmholtz-Gemeinschaft
Attachment:
Poster22.pdf
Description: Adobe PDF document