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Re: Zero or not?


From: Matthias Brennwald
Subject: Re: Zero or not?
Date: Sun, 22 Jul 2007 17:59:29 +0200

Ok, that's a start. If I calculate the sum of N numbers, what is the maximum 'offset' of the numerical result to mathematically correct result? I'd guess its N*eps, but I'm not sure.

Matthias



On 21.07.2007, at 19:14, Ben Abbott wrote:

check out the function "eps"

On Jul 21, 2007, at 12:45 PM, Matthias Brennwald wrote:

Ok. Is there a way to predict the expected offset? I need to test if
the sums across the columns of a matrix are zero, or at least within
the bounds expected from the IEEE arithmetic.

Matthias

On 21.07.2007, at 15:17, Jordi Gutiérrez Hermoso wrote:

On 21/07/07, Matthias Brennwald <address@hidden> wrote:
I expected the below code to yield only zeros, but it does not:

That's just the way IEEE arithmetic works. When subtracting two
numbers that are very close, you may not get zero, just machine
epsilon. Try this, for fun: 0.3 - 0.2 - 0.1

- Jordi G. H.





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Matthias Brennwald
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CH 8037 Zürich
+41 (0)44 364 17 03
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