This is gonna make me sound crazy, but always pass functions when possible, and use case statements for how the passed-in functions are applied.
As a simple example, imagine you want to take the average of a set of numbers. Instead of doing sum(numbers)/len(numbers), do:
Quotient_reduce(sum, lambda x,y: x+1, numbers)
then, inside the definition of quotient_reduce,
Def quotient_reduce(accumulate_by, normalize_by, list):
If accumulate_by==sum and normalize_by==(lambda x,y:x+1):
return [some efficient implementation of average]
Else:
Return reduce(accumulate_by, list)/reduce(normalize_by, list)
I know it must look insane, but it generalizes normalization, mean, geometric mean, etc, and on the outside there's no taste of the horrible concrete implementation!
Apologies about formatting, I'm on my phone.