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Am 21.02.2012 14:48, schrieb Vincent Lefevre:
On 2012-02-21 09:14:29 +0100, Ulrich Kulisch wrote:The dot product is a fundamental operation in Numerical Analysis.Not for everyone. If it were so important, it would have been required in IEEE 754-2008. And most languages don't even have a dot product function.
Vincent:all vector units provide a dot product and IEEE 754-2008 recommends it. These dot products are inexact and not of much use for interval arithmetic. By pipelining the exact dot product comes with the same speed up than the dot products on conventional vector units. I have no doubts that languages would support the dot product as soon as the exact dot product or complete arithmetic is available. IEEE 1788 is supposed to form the future.
Best wishes Ulrich -- 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