Article View: comp.graphics.research
Article #5Re: Multiplication of quaternion numbers
From: Timothy Wegner
Date: Wed, 16 Dec 1992 19:49
Date: Wed, 16 Dec 1992 19:49
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1724 bytes
David.Beasley@cm.cf.ac.uk (David Beasley) writes: >However, I have devised an algorithm which achieves quaternion >multiplication with only 10 real-number multiplications. Does anyone >know if an algorithm such as this has been published before, or have >I discovered something new here? I was sent a similar "optimization" by a Fractint user for complex multiplication, and easily generalized it to quaternions. However much to my surprise the resulting code ran *slower* on my 66 Mhz 486 machine! (My code also reduced 16 multipies to 10 at the expense of more assignment statements and temporary variables. Needless to say I returned the quaternion fractal type in Fractint back to Ken Shirriff's original code. I expect however that on a 386/387 combination the result might have been different. As far as this idea being new, I think not. -- Tim Wegner Fractint co-author Internet: twegner@mwunix.mitre.org Compuserve: 71320.675@compuserve.com -- Moderated by SCRI Vis <> Submissions to: graphics@scri1.scri.fsu.edu Guy, John R. Murray <> Administrivia to: graphics-request@scri1.scri.fsu.edu
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Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!mailer.cc.fsu.edu!sun13!mwunix.mitre.org From: twegner@mwunix.mitre.org (Timothy Wegner) Newsgroups: comp.graphics.research Subject: Re: Multiplication of quaternion numbers Message-ID: <11559@sun13.scri.fsu.edu> Date: 16 Dec 92 19:49:05 GMT References: <11533@sun13.scri.fsu.edu> Sender: news@sun13.scri.fsu.edu Organization: The MITRE Corporation Lines: 26 Approved: murray@vs6.scri.fsu.edu Nntp-Posting-Host: mwunix.mitre.org X-Submissions-To: graphics@scri1.scri.fsu.edu X-Administrivia-To: graphics-request@scri1.scri.fsu.edu