Hello everyone.
Christian Stump, Chris Berg and I have been thinking about statistics
on combinatorial objects in Sage. There are several already
implemented in Sage, and we think that it would be very useful to have
a means to identify. As a simple example, one might want to know all
the statistics that are implemented for permutations (or tableaux, or
words, or k-ratonslaveurs, ...) in order to output a table of values
of these statistics.
So the question is: how do we do this? We have been toying with the
idea of implementing a decorator (like cached_method) for methods that
are statistics. It would take as an argument the codomain of the
statistic. Knowing the codomain would make it possible to ask for all
integer-valued statistics, say. A typical example would be
permutations and integer statistics:
@combinatorial_statistic(codomain=Integers)
def major_index(self):
return ...
Comments? Suggestions? Alternative ideas for implementations?
Take care,
Franco
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