[/ Copyright 2006-2008 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]

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_map]
is declared as:

        template <
            class Key, class Mapped,
            class Hash = ``[classref boost::hash]``<Key>,
            class Pred = std::equal_to<Key>,
            class Alloc = std::allocator<std::pair<Key const, Mapped> > >
        class ``[classref boost::unordered_map unordered_map]``;

The hash function comes first as you might want to change the hash function
but not the equality predicate. For example, if you wanted to use the
[@http://www.isthe.com/chongo/tech/comp/fnv/ FNV-1 hash] you could write:

[import src_code/dictionary.cpp]
[case_sensitive_dictionary_fnv]

There is an [@boost:/libs/unordered/examples/fnv1.hpp implementation
of FNV-1] in the examples directory.

If you wish to use a different equality function,
you will also need to use a matching hash function. For
example, to implement a case insensitive dictionary you need to define a
case insensitive equality predicate and hash function:

[case_insensitive_functions]

Which you can then use in a case insensitive dictionary:

[case_insensitive_dictionary]

This is a simplified version of the example at
[@boost:/libs/unordered/examples/case_insensitive.hpp /libs/unordered/examples/case_insensitive.hpp]
which supports other locales and string types.

[caution
Be careful when using the equality (`==`) operator with custom equality
predicates, especially if you're using a function pointer. If you compare two
containers with different equality predicates then the result is undefined.
For most stateless function objects this is impossible - since you can only
compare objects with the same equality predicate you know the equality
predicates must be equal. But if you're using function pointers or a stateful
equality predicate (e.g. boost::function) then you can get into trouble.
]

[h2 Custom Types]

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

[import src_code/point1.cpp]
[point_example1]

Since the default hash function is [link hash Boost.Hash],
we can [link hash.custom extend it to support the type]
so that the hash function doesn't need to be explicitly given:

[import src_code/point2.cpp]
[point_example2]

See the [link hash.custom 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]