[#intro] = Introduction :idprefix: intro_ :cpp: C++ For accessing data based on key lookup, the {cpp} standard library offers `std::set`, `std::map`, `std::multiset` and `std::multimap`. These are generally implemented using balanced binary trees so that lookup time has logarithmic complexity. That is generally okay, but in many cases a link:https://en.wikipedia.org/wiki/Hash_table[hash table^] can perform better, as accessing data has constant complexity, on average. The worst case complexity is linear, but that occurs rarely and with some care, can be avoided. Also, the existing containers require a 'less than' comparison object to order their elements. For some data types this is impossible to implement or isn't practical. In contrast, a hash table only needs an equality function and a hash function for the key. With this in mind, unordered associative containers were added to the {cpp} standard. This is an implementation of the containers described in {cpp}11, with some <> in order to work with non-{cpp}11 compilers and libraries. `unordered_set` and `unordered_multiset` are defined in the header `` [source,c++] ---- namespace boost { template < class Key, class Hash = boost::hash, class Pred = std::equal_to, class Alloc = std::allocator > class unordered_set; template< class Key, class Hash = boost::hash, class Pred = std::equal_to, class Alloc = std::allocator > class unordered_multiset; } ---- `unordered_map` and `unordered_multimap` are defined in the header `` [source,c++] ---- namespace boost { template < class Key, class Mapped, class Hash = boost::hash, class Pred = std::equal_to, class Alloc = std::allocator > > class unordered_map; template< class Key, class Mapped, class Hash = boost::hash, class Pred = std::equal_to, class Alloc = std::allocator > > class unordered_multimap; } ---- When using Boost.TR1, these classes are included from `` and ``, with the classes added to the `std::tr1` namespace. The containers are used in a similar manner to the normal associative containers: [source,cpp] ---- typedef boost::unordered_map map; map x; x["one"] = 1; x["two"] = 2; x["three"] = 3; assert(x.at("one") == 1); assert(x.find("missing") == x.end()); ---- But since the elements aren't ordered, the output of: [source,c++] ---- BOOST_FOREACH(map::value_type i, x) { std::cout<> section for more details. There are other differences, which are listed in the <> section.