[/ Copyright 2006-2007 Daniel James.
 / Distributed under the Boost Software License, Version 1.0. (See accompanying
 / file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) ]

[section:hash_equality Equality Predicates and Hash Functions]

[/TODO: A better introduction to hash functions?]

While the associative containers use an ordering relation to specify how the
elements are stored, the unordered associative containers use an equality
predicate and a hash function. For example, [classref boost::unordered_set]
is declared as:

    template<typename Value,
           typename Hash = ``[classref boost::hash]``<Value>, 
           typename Pred = std::equal_to<Value>, 
           typename Alloc = std::allocator<Value> > 
    class ``[classref boost::unordered_set unordered_set]``;

The hash function comes first as you might want to change the hash function
but not the equality predicate, while if you were to change the behaviour
of the equality predicate you would have to change the hash function to match
it.  So, if you wanted to use the
[@http://www.isthe.com/chongo/tech/comp/fnv/ FNV-1 hash] you could write:

    ``[classref boost::unordered_set]``<std::string, hash::fnv_1> words;

An example implementation of FNV-1, and some other hash functions are supplied
in the examples directory.

Alternatively, you might wish to use a different equality function. If so, make
sure you use a hash function that matches it. So to implement a
case-insensitive dictionary:

[import src_code/insensitive.cpp] 
[case_insensitive_functions] 
[case_insensitive_dictionary] 

A more generic version is available at:
[@../../libs/unordered/examples/case_insensitive.hpp /libs/unordered/examples/case_insensitive.hpp]

[h2 Custom Types]

Similarly, a custom hash function can be used for custom types:

    struct point {
        int x;
        int y;
    };

    bool operator==(point const& p1, point const& p2)
    {
        return p1.x == p2.x && p1.y == p2.y;
    }

    struct point_hash
        : std::unary_function<point, std::size_t>
    {
        std::size_t operator()(point const& p) const
        {
            std::size_t seed = 0;
            boost::hash_combine(seed, p.x);
            boost::hash_combine(seed, p.y);
            return seed;
        }
    }

    boost::unordered_multiset<point, std::equal_to<point>, point_hash>
        points;

Although, customizing Boost.Hash is probably a better solution:

    struct point {
        int x;
        int y;
    };

    bool operator==(point const& p1, point const& p2)
    {
        return p1.x == p2.x && p1.y == p2.y;
    }

    std::size_t hash_value(point const& x) {
        std::size_t seed = 0;
        boost::hash_combine(seed, p.x);
        boost::hash_combine(seed, p.y);
        return seed;
    }

    // Now the default functions work.
    boost::unordered_multiset<point> points;

See the Boost.Hash documentation for more detail on how to do this. Remember
that it relies on extensions to the draft standard - so it won't work on other
implementations of the unordered associative containers.

[table Methods for accessing the hash and equality functions.
    [[Method] [Description]]

    [
        [``hasher hash_function() const``]
        [Returns the container's hash function.]
    ]
    [
        [``key_equal key_eq() const``]
        [Returns the container's key equality function.]
    ]
]

[endsect]