I've just tested and added to the glas-core a dotu-function
function as
well as a conj-function. These can also be combined to
perform a dotc
(using the expression 'dotu(conj(v),w)').
The dotu(v,w) expression and the dotu(conj(v),w) expression
are
supported by the glas backend, the blas backend (dispatched
to dotu and
dotc and to dot for the non-complex types) and the VSIPL++
backend
(dispatched to vsip::dot and vsip::cvjdot)
This functionality can be used to support an LA toolbox that
would
implement syntax in line with the discussion on this
subject.
toon
Sanz, Christophe wrote:
> Quoting Karl Meerbergen <Karl.Meerbergen fft.be>:
>
>> As far as I understand, Toon was talking about core
syntax, not
>> functionality:
>> is there a problem with dot(conj(x),y) for the
euclidean inner product?
>>
>> Karl
>>
>
> Possibly not but there seem to remain some ambiguity
pertaining to the choice of
> the proper specialisation of the dot function for
collection of complex types.
> The maths would suggest that it is dotc while (eg the MTL
would suggest that
> it is dotu. Possibly the latter option was just too
straightforward to be
> avoided in first place but retaining option 1 could be
well worth a
> confirmation. Was that Matthias meant?
>>
>> Matthias Troyer wrote:
>>
>>> I want to strongly support Andrew's statement.
If one wants only one
>>> dot product then the proper inner product for a
complex Hilbert space
>>> needs to be chosen.
>>>
>>> Matthias
>>>
>>> On May 1, 2006, at 10:59 AM, Andrew Lumsdaine
wrote:
>>>
>>>
>>>
>>>> Both are needed.
>>>>
>>>> In the Iterative Template Library, both are
required in order for the
>>>> solvers to work properly with complex
vectors.
>>>>
>>>> Mathematically, dotc() is a proper inner
product for a complex Hilbert
>>>> space, dotu() is not. If a single dot()
function is going to be used
>>>> for inner product, mathematically it must
be equivalent to dotc().
>>>>
>>>> Use cases are very important when creating
interfaces for a generic
>>>> library. I would suggest taking a look at
ITL and IETL to see how
>>>> generic linear concepts at this level of
abstraction are used.
>>>>
>>>> Toon Knapen wrote:
>>>>
>>>>
>>>>> I was wondering if we need an
equivalent for both the dotc and
>>>>> dotu of
>>>>> BLAS in glas? I suggest to only have
_one_ dot function (which is
>>>>> equivalent to the dot in blas for
vectors of reals and which
>>>>> corresponds
>>>>> to dotu for vectors of complex values).
To perform the equivalent of
>>>>> dotc one could then write
dot(conj(x),y). This is IMHO clearer and
>>>>> the
>>>>> expression-template mechanism will
avoid that this compound
>>>>> expression
>>>>> will induce a performance penalty.
>>>>>
>>>>> I just added an equivalent to dotc but
I plan to add the solution as
>>>>> described above, benchmark both and
than remove the dotc equivalent
>>>>> afterwards (supposing the benchmark
will not show any performance
>>>>> differences of both approaches).
>>>>>
>>>>> toon
>>>>>
>>>>>
>>>>>
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>>>>>
>>>>>
>>>>
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>>>
>>
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>> ==============================================
>> Karl Meerbergen
>>
>> Free Field Technologies
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