I have a class that is basically an optimised generator (like range). It implements __getitem__, __iter__ and __contains__. It also needs to implement addition of its items (immutable numbers) with that of another instance:
def addition(self, other):
for x in zip(self, other):
yield sum(x)
and concatenation of two instances:
def concatenation(self, other):
yield from self
yield from other
(The real methods return instances of subclasses that implement this in their __iter__ method, with necessary optimisations to reduce the complexity of __contains__ where possible, but I simplified it for the example.)
Types such as str, list and tuple implement concatenation with __add__. Types such as int and float implement addition with __add__. I can't implement both with __add__.
What magic methods should I use for addition and concatenation if a class implements both?