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Re: Directed rounding

From: Eric Walter
Subject: Re: Directed rounding
Date: Thu, 17 Sep 2015 19:24:00 +0200
User-agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.10; rv:31.0) Gecko/20100101 Thunderbird/31.7.0

Dear John,

INTLAB is no longer available for free, although its cost is still very reasonable. This is no big deal for me as I have access to it and used it in a project that is now finished, namely the writing of a chapter devoted to assessing the accuracy of floatting point computations in a book that has now appeared. I hope many people will get used to the idea of changing rounding mode to see how sensitve their computations are.

Best regards,


Le 17/09/2015 19:05, John Swensen a écrit :

On Sep 17, 2015, at 9:47 AM, Oliver Heimlich <address@hidden> wrote:

On 17.09.2015 18:31, Eric Walter wrote:
Dear Oliver,

Yes, this might be the way. In MATLAB I got around my rounding problem
by using Sigfried Rump's interval toolbox INTLAB. Many thanks for your
suggestion, and thanks to the Octave community for their amazing

Best regards,



you are welcome. Since you know INTLAB, please check whether the free Octave interval package is a valid replacement for your project. If you are missing some functionality in the interval package, please let me know.

You can find many functions with directed rounding here (no need to change the rounding mode yourself):

P.S. The Octave interval package is conforming to the IEEE standard for interval arithmetic. It might behave differently compared to INTLAB, especially on empty intervals.

Best regards

While most certainly not an Open Source compatible license, INTLAB is open source (small o and s) and free to use excluding only if you are selling a product that uses it. It is free to use, even in commercial setting as long as you aren’t trying to sell a product that includes the code.

As of Octave 3.8, it sounds like INTLAB is fully compatible with Octave.

John S

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