hash_set Class
The container class hash_set is an extension of the Standard Template Library (STL) and is used for the storage and fast retrieval of data from a collection in which the values of the elements contained are unique and serve as the key values.
For a list of all members of this type, see hash_set Members.
template < class Key, class Traits=hash_compare<Key, less<Key> >, class Allocator=allocator<Key> > class hash_set
Parameters
 Key

The element data type to be stored in the hash_set.
 Traits

The type which includes two function objects, one of class compare that is a binary predicate able to compare two element values as sort keys to determine their relative order and a hash function that is a unary predicate mapping key values of the elements to unsigned integers of type size_t. This argument is optional, and the hash_compare<Key, less<Key> > is the default value.
 Allocator

The type that represents the stored allocator object that encapsulates details about the hash_set's allocation and deallocation of memory. This argument is optional, and the default value is allocator<Key>.
The hash_set is:

An associative container, which a variable size container that supports the efficient retrieval of element values based on an associated key value. Further, it is a simple associative container because its element values are its key values.

Reversible, because it provides a bidirectional iterator to access its elements.

Hashed, because its elements are grouped into buckets based on the value of a hash function applied to the key values of the elements.

Unique in the sense that each of its elements must have a unique key. Because hash_set is also a simple associative container, its elements are also unique.

A template class because the functionality it provides is generic and so independent of the specific type of data contained as elements or keys. The data types to be used for elements and keys are, instead, specified as parameters in the class template along with the comparison function and allocator.
The main advantage of hashing over sorting is greater efficiency; a successful hashing performs insertions, deletions, and finds in constant average time as compared with a time proportional to the logarithm of the number of elements in the container for sorting techniques. The value of an element in a set may not be changed directly. Instead, you must delete old values and insert elements with new values.
The choice of container type should be based in general on the type of searching and inserting required by the application. Hashed associative containers are optimized for the operations of lookup, insertion and removal. The member functions that explicitly support these operations are efficient when used with a welldesigned hash function, performing them in a time that is on average constant and not dependent on the number of elements in the container. A welldesigned hash function produces a uniform distribution of hashed values and minimizes the number of collisions, where a collision is said to occur when distinct key values are mapped into the same hashed value. In the worst case, with the worst possible hash function, the number of operations is proportional to the number of elements in the sequence (linear time).
The hash_set should be the associative container of choice when the conditions associating the values with their keys are satisfied by the application. The elements of a hash_set are unique and serve as their own sort keys. A model for this type of structure is an ordered list of, say, words in which the words may occur only once. If multiple occurrences of the words were allowed, then a hash_multiset would be the appropriate container structure. If unique definitions were attached as values to the list of key words, then a hash_map would be an appropriate structure to contain this data. If instead the definitions were not unique, then a hash_multimap would be the container of choice.
The hash_set orders the sequence it controls by calling a stored hash Traits object of type value_compare. This stored object may be accessed by calling the member function key_comp. Such a function object must behave the same as an object of class hash_compare<Key, less<Key> >. Specifically, for all values _Key of type Key, the call Trait(_Key ) yields a distribution of values of type size_t.
In general, the elements need be merely less than comparable to establish this order: so that, given any two elements, it may be determined either that they are equivalent (in the sense that neither is less than the other) or that one is less than the other. This results in an ordering between the nonequivalent elements. On a more technical note, the comparison function is a binary predicate that induces a strict weak ordering in the standard mathematical sense. A binary predicate f(x,y) is a function object that has two argument objects x and y and a return value of true or false. An ordering imposed on a hash_set is a strict weak ordering if the binary predicate is irreflexive, antisymmetric, and transitive and if equivalence is transitive, where two objects x and y are defined to be equivalent when both f(x,y) and f(y,x) are false. If the stronger condition of equality between keys replaces that of equivalence, then the ordering becomes total (in the sense that all the elements are ordered with respect to each other) and the keys matched will be indiscernible from each other.
The actual order of elements in the controlled sequence depends on the hash function, the ordering function, and the current size of the hash table stored in the container object. You cannot determine the current size of the hash table, so you cannot in general predict the order of elements in the controlled sequence. Inserting elements invalidates no iterators, and removing elements invalidates only those iterators that had specifically pointed at the removed elements.
The iterator provided by the hash_set class is a bidirectional iterator, but the class member functions insert and hash_set have versions that take as template parameters a weaker input iterator, whose functionality requirements are more minimal than those guaranteed by the class of bidirectional iterators. The different iterator concepts form a family related by refinements in their functionality. Each iterator concept has its own hash_set of requirements, and the algorithms that work with them must limit their assumptions to the requirements provided by that type of iterator. It may be assumed that an input iterator may be dereferenced to refer to some object and that it may be incremented to the next iterator in the sequence. This is a minimal hash_set of functionality, but it is enough to be able to talk meaningfully about a range of iterators [_First, _Last) in the context of the class member functions.
In Visual C++ .NET 2003, members of the <hash_map> and <hash_set> header files are no longer in the std namespace, but rather have been moved into the stdext namespace. See The stdext Namespace for more information.