[python] Hashing a dictionary?

While hash(frozenset(x.items()) and hash(tuple(sorted(x.items())) work, that's doing a lot of work allocating and copying all the key-value pairs. A hash function really should avoid a lot of memory allocation.

A little bit of math can help here. The problem with most hash functions is that they assume that order matters. To hash an unordered structure, you need a commutative operation. Multiplication doesn't work well as any element hashing to 0 means the whole product is 0. Bitwise & and | tend towards all 0's or 1's. There are two good candidates: addition and xor.

from functools import reduce
from operator import xor

class hashable(dict):
    def __hash__(self):
        return reduce(xor, map(hash, self.items()), 0)

    # Alternative
    def __hash__(self):
        return sum(map(hash, self.items()))

One point: xor works, in part, because dict guarantees keys are unique. And sum works because Python will bitwise truncate the results.

If you want to hash a multiset, sum is preferable. With xor, {a} would hash to the same value as {a, a, a} because x ^ x ^ x = x.

If you really need the guarantees that SHA makes, this won't work for you. But to use a dictionary in a set, this will work fine; Python containers are resiliant to some collisions, and the underlying hash functions are pretty good.

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