Robert G. Brown a écrit :
On Wed, 21 Nov 2007, David Mathog wrote:
A = B + C <VecX> D
triple = A <dot> B <vecX> C
For all I know operator definition does exist in C++ now - the
language is humongous and I certainly am not familiar with some of
the more obscure corners.
(one or two last ones while I clear mail:-). Actually a really, really
interesting idea, but one does have a whole new class of typing errors.
If you go with either tensor products or graded algebra products, you
have to think carefully about what happens when you multiply e.g. real
times quaternion, complex times quaternion, etc. Some of these are as
ambiguous as multiplying a 2D vector by a 4D vector without specifying
the embedding or that their is one -- is the result a scalar, a vector,
or a tensor?
But it still is a really good idea. There is a generalized algebra of
dyad, triad, inner and outer products, and so on. It would be really
interesting to define a compiler that could cope. Even symbolic
manipulation languages tend to have to work at it and maybe have
complex and quaternions but rarely anything else.
the TAO language used on the APE family of SIMD computers (lot of
acronyms here)
does exactly that thanks to a good macro preprocessor. It is mainly used
for QCD but
I found it very nice for other uses ; pity it only compiles on those
machines.
--
Florent Calvayrac |
Professeur Universite du Maine
Lab. de Physique de l'Etat Condense UMR-CNRS 6087
Inst. de Rech. en Ingenierie Molec. et Matx Fonctionnels FR CNRS 2575
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