On Wed, 21 Nov 2007, David Mathog wrote:
It would have been interesting if C++ had implemented operator
definition instead of operator overloading (ie, redefinition).
For instance like:
A = B + C <VecX> D
Admittedly it looks a bit odd, but when maintaining the code a
programmer would see <operation> and know instantly what was happening
if they recognized the operator, or would know to go look for the
place "VecX" was defined if not. It would also have allowed
the code to be somewhat self documenting, as in:
triple = A <dot> B <vecX> C
The flip side is that the program would need to specifically
set operator precedence for operators it defines. It's also more
verbose, but that's a good thing in code - I'd much rather read a
few more characters than waste time trying to figure out what that
"*" is actually doing. In a language aware editor the operator
would have been highlighted, making it easier to see them.
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.
rgb
Regards,
David Mathog
[EMAIL PROTECTED]
Manager, Sequence Analysis Facility, Biology Division, Caltech
--
Robert G. Brown
Duke University Dept. of Physics, Box 90305
Durham, N.C. 27708-0305
Phone(cell): 1-919-280-8443
Web: http://www.phy.duke.edu/~rgb
Lulu Bookstore: http://stores.lulu.com/store.php?fAcctID=877977
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