On Sun, Jul 22, 2012 at 9:31 AM, Aaron Meurer <[email protected]> wrote:
> On Jul 16, 2012, at 4:36 AM, Sergiu Ivanov <[email protected]> wrote:
>
>> On Mon, Jul 16, 2012 at 1:19 PM, [email protected]
>> <[email protected]> wrote:
>>> With all the issues surrounding ordering, hashes and hash
>>> randomization I was left with the impression that we should rewrite
>>> tests in such a way that they test for mathematical correctness but
>>> not for specific ordering of args, etc.
>>
>> Since we are discussing this, I would like to state that not forcing
>> the ordering in some cases leads to an unpleasant variety of results.
>> For example, in computing eigenvectors, this leads to _different_
>> eigenvectors at different runs.  They are not essentially different,
>> of course, but they are still different and this sounds a lot like a
>> concealed bomb.
>
> I'm curious, do these eigenvectors differ only by constants, or is it
> a case of completely different linear combinations with some
> eigenvalues of high geometric degree?

I can't produce the exact example off-hand (I can do that, however,
should the need be), but from what I remember, the eigenvectors would
have components in different order, i.e., something like [0, 1, 2] in
one run and [2, 0, 1] in another.

Sergiu

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