[bug #55077] automatic broadcasting for dot product

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Follow-up Comment #2, bug #55077 (group octave):

As of Octave 11, broadcasting has been extended to support all types of octave
arrays.

Array broadcasting follows the simple rule that "Two arrays are compatible if,
for each dimension, the sizes are either the same or one of them is 1". Array
broadcasting is applied to all binary operations (including basic math,
comparison, and boolean ops).

On the other hand, all regular functions (such as *dot*) that take multiple
arguments and require size compatibility among these arguments follow a
different rule that inputs have to be of common size or scalars. This is why
Octave also has the *common_size* function which is extensively being used by
other core functions and packages (eg statistics).

Although tempting to apply full broadcasting rules to regular functions, it is
not a good idea because it kind of opens Pandora's box in terms of
compatibility and most importantly consistency across Octave functions. If we
update *dot* to support full broadcasting rules, then we should do this to
numerous other functions as well (eg power). This is not only a huge task, but
it will introduce an unwanted complexity in all the functions affected.

IMHO we should keep broadcasting the way it is currently distinguished between
binary ops and functions. This report should be marked as won't fix!


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