Quick and Simple Hash Code Combinations

Question

Can people recommend quick and simple ways to combine the hash codes of two objects. I am not too worried about collisions since I have a Hash Table which will handle that efficiently I just want something that generates a code quickly as possible.

Reading around SO and the web there seem to be a few main candidates:

1. XORing
2. XORing with Prime Multiplication
3. Simple numeric operations like multiplication/division (with overflow checking or wrapping around)
4. Building a String and then using the String classes Hash Code method

What would people recommend and why?

Answer 1

I would personally avoid XOR - it means that any two equal values will result in 0 - so hash(1, 1) == hash(2, 2) == hash(3, 3) etc. Also hash(5, 0) == hash(0, 5) etc which may come up occasionally. I have deliberately used it for set hashing - if you want to hash a sequence of items and you don't care about the ordering, it's nice.

I usually use:

unchecked
{
    int hash = 17;
    hash = hash * 31 + firstField.GetHashCode();
    hash = hash * 31 + secondField.GetHashCode();
    return hash;
}

That's the form that Josh Bloch suggests in Effective Java. Last time I answered a similar question I managed to find an article where this was discussed in detail - IIRC, no-one really knows why it works well, but it does. It's also easy to remember, easy to implement, and easy to extend to any number of fields.