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Re: more patents on interval arithmetic implementations



Dan Zuras Intervals schrieb:
Date: Mon, 29 Dec 2008 12:27:34 +0100
From: Ulrich Kulisch <Ulrich.Kulisch@xxxxxxxxxxx>
To: Arnold Neumaier <Arnold.Neumaier@xxxxxxxxxxxx>
CC: Bob.Davis@xxxxxxx, 1788 <stds-1788@xxxxxxxxxxxxxxxxx>,
        interval <reliable_computing@xxxxxxxxxxxxxxxxxxxxxx>, m.zaman@xxxxxxxx
Subject: Re: more patents on interval arithmetic implementations

Arnold Neumaier schrieb:
Arnold Neumaier schrieb:

more patents, not yet mentioned in my previous two mails:


Several old patents, two by Kulisch, one by Miranker, and one by Rump,
are related to items 2 and 3 (accurate sum and inner product) in
Section 5.1 of the Vienna proposal:

- Circuitry for generating sums, especially scalar products
  http://www.patentstorm.us/patents/4866653/fulltext.html

- Circuitry for generating scalar products and sums of floating point
  numbers with maximum accuracy
  http://www.patentstorm.us/patents/4622650/fulltext.html

- Systolic super summation device
  http://www.patentstorm.us/patents/4751665/fulltext.html

- Method and circuit arrangement for adding floating point numbers
  http://www.patentstorm.us/patents/4866651/fulltext.html

As far as I understand the matter all these patents provide hardware circuitries to compute sums and dot procducts of floating-point numbers exactly. They have been filed more than 20 years ago and thus should all be expired. The most relevant techniques are discussed in a more colloquial English in my book: Computer Arithmetic and Validity, De Gruyter, 2008. I am convinced that these are the fastest techniques to compute sums and dot products exactly.

	Ulrich,

	These are relevant to us in that, being expired patents,
	the methods described should never be patented again.

	In theory, anyway.

	In practice, the patent office has often permitted the
	existence of duplicate patents & let them be fought out
	in court.

	I once went to patent something & found 6 existing patents,
	one expired, on the idea.  At least 5 of them should not
	have been patented but there they were anyway.

	For what its worth...

				Dan

Dan,

this may be so in the US. I am convinced that you would not get a patent on the idea of an expired patent or of other patents or on published work in Europe or in Japan.

Ulrich
In contrast to these techniques the following and other papers present fast algorithms to compute approximations of hight quality of the sum and the dot product of floating-point numbers.
There are, however, recent alternative (public and better)
implementation techniques by
   Ogita, Rump, and Oishhi
   Accurate sum and dot product
   http://www.ti3.tu-harburg.de/paper/rump/OgRuOi05.pdf
Best regards
Ulrich Kulisch