Perhaps I don't understand your point, but vector hashing is not currently
the sum of hashes.  It's a more complex computation.

=> (hash [0 2])
963
=> (hash [2 0])
1023
=> (hash [2])
33

The fact that numbers hash to themselves means that the resulting hashes
are not hugely spread apart, but collisions don't seem to be as common as
with sets and maps.  I'm sure it could be improved, but vector/sequence
hashing doesn't strike me as a huge issue.


On Wed, Oct 23, 2013 at 5:31 PM, Cedric Greevey <cgree...@gmail.com> wrote:

> There's still a problem with collisions among *vectors* though.
>
> I'd say the real underlying problem is that small integers hash to
> themselves. If you let N be a fairly large number satisfying GCD(N, 2^32 -
> 1) = 1, then multiplying 32-bit integers by N would send nearby integers to
> widely separated ones, while inducing a permutation on nonzero integers --
> the hash space wouldn't be any smaller. That alone won't help much with the
> vector problem, since 3N + 2N = 5N just as 3 + 2 = 5, though it may help
> avoid collisions with small integers in small hash maps when the hash is
> being used modulo a small hash-table length. What might help with vectors,
> sets, and other small data structures containing integers (but would shrink
> the hash space by about half) is to additionally square the result (all
> operations being 2s-complement 32-bit integer operations with wrapping --
> Java "int" arithmetic). Now 1 and 4 won't give the same summed hashes as 3
> and 2, and 0 and 5 will be different again. You might also want to add some
> constant to avoid 0 hashing to 0.
>
>

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