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- To: eigen@xxxxxxxxxxxxxxxxxxx
- Subject: Re: [eigen] nesting
- From: Benoit Jacob <jacob.benoit.1@xxxxxxxxx>
- Date: Thu, 4 Feb 2010 17:35:06 -0500
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2010/2/4 Gael Guennebaud <gael.guennebaud@xxxxxxxxx>:
> On Thu, Feb 4, 2010 at 11:22 PM, Benoit Jacob <jacob.benoit.1@xxxxxxxxx> wrote:
>> 2010/2/4 Gael Guennebaud <gael.guennebaud@xxxxxxxxx>:
>>> On Thu, Feb 4, 2010 at 11:11 PM, Benoit Jacob <jacob.benoit.1@xxxxxxxxx> wrote:
>>>> Just one thing that I don't follow:
>>>>
>>>> 2010/2/4 Gael Guennebaud <gael.guennebaud@xxxxxxxxx>:
>>>>> Our real problem is the following:
>>>>>
>>>>> A*B + A1 + A2 + A3 + A4 + A5
>>>>>
>>>>> creates 5 temporary matrices, the result of A*B is copied 4 times....
>>>>
>>>> Why is it so? After A*B has evaluated into a temporary matrix, isn't
>>>> it the same as
>>>>
>>>> tmp + A1 + A2 + A3 + A4 + A5
>>>>
>>>> ? That doesn't evaluate at every step ...!
>>>
>>> this is the problem that Hauke is talking about: since we nest by
>>> value, tmp is stored in the expression of tmp + A1, so sizeof(tmp+A1)
>>> = big, so does (tmp+A1)+A2, etc. I did not check but I think that the
>>> way it works.
>>>
>>> on the other hand if you write:
>>>
>>> (A*B).eval() + A1 + A2 + A3 + A4 + A5
>>>
>>> then it is fine fine because the temporary is explicitly created on
>>> the stack and stored by reference by the binary expressions...
>>
>> Ah OK and can't we make an exception to the rule that we nest
>> expressions by value? Couldn't we say: we nest by value EXCEPT plain
>> matrices which we nest by reference? Then nesting by value an
>> expression referring it would just copy a reference.
>
> we cannot store implicit temporaries by reference, it has to live
> throughout the expression, and so it has to be stored by the returned
> expression.
ok, some day I should learn to be able to decide that myself... :(
then I'm starting to understand how the change that you are proposing
here is an inevitable consequence of the new nest-by-value design. I'm
crossing fingers that it turns out to be a change for the better!
(that is, not too bad compilation times).
Benoit
>
> gael.
>
>>
>> I usually say stupid things when I'm talking about references and
>> lifetime of temporaries :)
>>
>> Benoit
>>
>>
>>
>>>
>>> gael
>>>
>>>
>>>> Benoit
>>>>
>>>>>
>>>>> gael
>>>>>
>>>>>>
>>>>>> Am I missing something? I am especially afraid of being missing
>>>>>> something about the blas_traits and how you implemented that stuff ---
>>>>>> you know better than me.
>>>>>>
>>>>>> Benoit
>>>>>>
>>>>>>
>>>>>>
>>>>>>> Such an analyzer/evaluator would look like the current ei_blas_traits...
>>>>>>> Some examples of what could be done with such an approach:
>>>>>>>
>>>>>>> (A + B).block() => (A.block() + B.block())
>>>>>>>
>>>>>>> E.noalias() += A*B + C*D;
>>>>>>>
>>>>>>> =>
>>>>>>>
>>>>>>> E.noalias() += A*B;
>>>>>>> E.noalias() += C*D;
>>>>>>>
>>>>>>> This also offers more parallelization opportunities.
>>>>>>>
>>>>>>> Sounds good, but of course I'm really scared about compilation times... This
>>>>>>> is why I did not talk that much about that idea so far.
>>>>>>>
>>>>>>> gael.
>>>>>>>
>>>>>>>
>>>>>>> On Thu, Feb 4, 2010 at 2:35 PM, Hauke Heibel <hauke.heibel@xxxxxxxxxxxxxx>
>>>>>>> wrote:
>>>>>>>>
>>>>>>>> Hi,
>>>>>>>>
>>>>>>>> While looking into the "performance degradation" issue from the forum
>>>>>>>> I found out that it is due to temporaries - as Benoit already guessed.
>>>>>>>>
>>>>>>>> I am a little bit afraid, that what I once proposed, namely copying
>>>>>>>> expressions by value, is now backfiring. The reason is that initially
>>>>>>>> I assumed expressions to be tiny little objects with close to no copy
>>>>>>>> costs. The issue is related to those expressions holding temporaries.
>>>>>>>> Copying them (e.g. a product expression) means copying all the data
>>>>>>>> including the temporary and that will happen as many times as we nest
>>>>>>>> expressions.
>>>>>>>>
>>>>>>>> The only solution I can think about at the moment is the
>>>>>>>> specialization of ei_nested for those types and to go back to nesting
>>>>>>>> by reference for these heavy weight guys.
>>>>>>>>
>>>>>>>> - Hauke
>>>>>>>
>>>>>>>
>>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>
>>>>>
>>>>>
>>>>
>>>>
>>>>
>>>
>>>
>>>
>>
>>
>>
>
>
>