______________________________________________________________________ 23 Containers library [lib.containers] ______________________________________________________________________ 1 This clause describes components that C++ programs may use to organize collections of information. 2 The following subclauses describe container requirements, and compo- nents for sequences and associative containers, as summarized in Table 1: Table 1--Containers library summary +------------------------------------------------------+ | Subclause Header(s) | +------------------------------------------------------+ |_lib.container.requirements_ Requirements | +------------------------------------------------------+ | <deque> | | <list> | |_lib.sequences_ Sequences <queue> | | <stack> | | <vector> | +------------------------------------------------------+ |_lib.associative_ Associative containers <map> | | <set> | |_lib.template.bitset_ bitset <bitset> | +------------------------------------------------------+ 23.1 Container requirements [lib.container.requirements] 1 Containers are objects that store other objects. They control alloca- tion and deallocation of these objects through constructors, destruc- tors, insert and erase operations. 2 All of the complexity requirements in this clause are stated solely in terms of the number of operations on the contained objects. [Example: the copy constructor of type vector <vector<int> > has linear complex- ity, even though the complexity of copying each contained vector<int> is itself linear. ] 3 The type of objects stored in these components must meet the require- ments of CopyConstructible types (_lib.copyconstructible_), and the additional requirements of Assignable types. 4 In Table 2, T is the type used to instantiate the container, t is a value of T, and u is a value of (possibly const) T. Table 2--Assignable requirements +------------------------------------------------+ |expression return type post-condition | +------------------------------------------------+ |t = u T& t is equivalent to u | +------------------------------------------------+ 5 In Tables 3 and 4, X denotes a container class containing objects of type T, a and b denote values of type X, u denotes an identifier and r denotes a value of X&. Table 3--Container requirements --------------------------------------------------------------------------------------------------- expression return type assertion/note complexity pre/post-condition --------------------------------------------------------------------------------------------------- X::value_type T T is Assignable compile time --------------------------------------------------------------------------------------------------- X::reference lvalue of T compile time --------------------------------------------------------------------------------------------------- X::const_reference const lvalue of T compile time --------------------------------------------------------------------------------------------------- X::iterator iterator type pointing to T any iterator category except compile time output iterator. convertible to X::const_itera- tor. --------------------------------------------------------------------------------------------------- X::const_iterator iterator type pointing to any iterator category except compile time const T output iterator. --------------------------------------------------------------------------------------------------- X::difference_type signed integral type is identical to the difference compile time type of X::iterator and X::const_iterator --------------------------------------------------------------------------------------------------- X::size_type unsigned integral type size_type can represent any compile time non-negative value of differ- ence_type --------------------------------------------------------------------------------------------------- X u; post: u.size() == 0. constant --------------------------------------------------------------------------------------------------- X(); X().size() == 0. constant --------------------------------------------------------------------------------------------------- X(a); a == X(a). linear --------------------------------------------------------------------------------------------------- X u(a); post: u == a. linear X u = a; Equivalent to: X u; u = a; --------------------------------------------------------------------------------------------------- (&a)->~X(); void note: the destructor is ap- linear plied to every element of a; all the memory is deallocated. --------------------------------------------------------------------------------------------------- a.begin(); iterator; constant const_iterator for constant a --------------------------------------------------------------------------------------------------- a.end(); iterator; constant const_iterator for constant a --------------------------------------------------------------------------------------------------- a == b convertible to bool == is an equivalence relation. linear | | | | | | | | | a.size()==b.size() | | && equal(a.begin(), | | a.end(), b.begin()) | +-------------------------------------------------------------------------------------------------+ |a != b convertible to bool Equivalent to: !(a == b) linear | +-------------------------------------------------------------------------------------------------+ |a.swap(b); void swap(a,b) (Note A) | +-------------------------------------------------------------------------------------------------+ Table 3--Container requirements +---------------------------------------------------------------------------------+ | expression return type operational assertion/note complexity | | semantics pre/post-condition | +---------------------------------------------------------------------------------+ |r = a X& post: r == a. linear | +---------------------------------------------------------------------------------+ |a.size() size_type a.end()-a.begin() (Note A) | +---------------------------------------------------------------------------------+ |a.max_size() size_type size() of the (Note A) | | largest possible | | container. | +---------------------------------------------------------------------------------+ |a.empty() convertible to bool a.size() == 0 constant | +---------------------------------------------------------------------------------+ |a < b convertible to bool lexicographi- pre: < is defined linear | | cal_compare( for values of T. | | a.begin(), < is a total or- | | a.end(), b.be- dering relation. | | gin(), b.end()) | +---------------------------------------------------------------------------------+ |a > b convertible to bool b < a linear | +---------------------------------------------------------------------------------+ |a <= b convertible to bool !(a > b) linear | +---------------------------------------------------------------------------------+ |a >= b convertible to bool !(a < b) linear | +---------------------------------------------------------------------------------+ Notes: the algorithms swap(), equal() and lexicographical_compare() are defined in clause _lib.algorithms_. Those entries marked ``(Note A)'' should have constant complexity. 6 The member function size() returns the number of elements in the con- tainer. Its semantics is defined by the rules of constructors, inserts, and erases. 7 begin() returns an iterator referring to the first element in the con- tainer. end() returns an iterator which is the past-the-end value for the container. If the container is empty, then begin() == end(); 8 Copy constructors for all container types defined in this clause copy the allocator argument from their respective first parameters. All other constructors for these container types take an Allocator& argument (_lib.allocator.requirements_). A copy of this argument is used for any memory allocation performed, by these constructors and by all member functions, during the lifetime of each container object. In all container types defined in this clause, the member get_alloca- tor() returns a copy of the Allocator object used to construct the container. 9 If the iterator type of a container belongs to the bidirectional or random access iterator categories (_lib.iterator.requirements_), the container is called reversible and satisfies the additional require- ments in Table 4: Table 4--Reversible container requirements +--------------------------------------------------------------------------------------------+ |expression return type assertion/note complexity | | pre/post-condition | +--------------------------------------------------------------------------------------------+ |X::reverse_ iterator type pointing to T reverse_iterator<iterator> compile time | |iterator | +--------------------------------------------------------------------------------------------+ |X::const_ iterator type pointing to reverse_iterator<const_iterator> compile time | |reverse_ const T | |iterator | +--------------------------------------------------------------------------------------------+ |a.rbegin() reverse_iterator; const_re- reverse_iterator(end()) constant | | verse_iterator for constant | | a | +--------------------------------------------------------------------------------------------+ |a.rend() reverse_iterator; const_re- reverse_iterator(begin()) constant | | verse_iterator for constant | | a | +--------------------------------------------------------------------------------------------+ All container types defined in this clause meet the additional requirements that no swap() function throws an exception unless that exception is thrown by the copy constructor or assignment operator of the container's Compare object (if any, see _lib.associative.reqmts_). 10Unless otherwise stated (either explicitly or by defining a function in terms of the application of other functions), invoking a member function of a container or passing a container as argument to a con- tainer library function will not cause references or iterators to that container to become invalid. 23.1.1 Sequences [lib.sequence.reqmts] 1 A sequence is a kind of container that organizes a finite set of objects, all of the same type, into a strictly linear arrangement. The library provides three basic kinds of sequence containers: vector, list, and deque. It also provides container adaptors that make it easy to construct abstract data types, such as stacks or queues, out of the basic sequence kinds (or out of other kinds of sequences that the user might define). 2 vector, list, and deque offer the programmer different complexity trade-offs and should be used accordingly. vector is the type of sequence that should be used by default. list should be used when there are frequent insertions and deletions from the middle of the sequence. deque is the data structure of choice when most insertions and deletions take place at the beginning or at the end of the sequence. 3 In Tables 5 and 6, X denotes a sequence class, a denotes a value of X, i and j denote iterators satisfying input iterator requirements, [i, j) denotes a valid range, n denotes a value of X::size_type, p and q2 denote valid iterators to a, q and q1 denote valid dereferenceable iterators to a, [q1, q2) denotes a valid range, and t denotes a value of X::value_type. 4 The complexities of the expressions are sequence dependent. Table 5--Sequence requirements (in addition to container) +------------------------------------------------------------------------------------+ | expression return type assertion/note | | pre/post-condition | +------------------------------------------------------------------------------------+ |X(n, t) post: size() == n. | |X a(n, t); constructs a sequence with n copies of t. | +------------------------------------------------------------------------------------+ |X(i, j) post: size() == distance between i and j. | |X a(i, j); constructs a sequence equal to the range [i,j). | +------------------------------------------------------------------------------------+ |a.insert(p,t) iterator inserts a copy of t before p. | +------------------------------------------------------------------------------------+ |a.insert(p,n,t) void inserts n copies of t before p. | +------------------------------------------------------------------------------------+ |a.insert(p,i,j) void pre: i,j are not iterators into a. | | inserts copies of elements in [i,j) before p. | +------------------------------------------------------------------------------------+ |a.erase(q) iterator erases the element pointed to by q. | +------------------------------------------------------------------------------------+ |a.erase(q1,q2) iterator erases the elements in the range [q1,q2). | +------------------------------------------------------------------------------------+ |a.clear() void erase(begin(), end()) | | post: size() == 0. | +------------------------------------------------------------------------------------+ 5 iterator and const_iterator types for sequences must be at least of the forward iterator category. 6 The iterator returned from a.insert(p,t) points to the copy of t inserted into a. 7 The iterator returned from a.erase(q) points to the element immedi- ately following q prior to the element being erased. If no such ele- ment exists, a.end() is returned. 8 The iterator returned by a.erase(q1,q2) points to the element pointed to by q2 prior to any elements being erased. If no such element exists, a.end() is returned. 9 For every sequence defined in this clause: --the constructor template <class InputIterator> X(InputIterator f, InputIterator l, const Allocator& a = Allocator()) shall have the same effect as: X(static_cast<typename X::size_type>(f), static_cast<typename X::value_type>(l), a) if InputIterator is an integral type. --the member function: template <class InputIterator> void insert(iterator p, InputIterator f, InputIterator l) shall have the same effect as: insert(p, static_cast<typename X::size_type>(f), static_cast<typename X::value_type>(l)). if InputIterator is an integral type. [Note: This follows directly from the requirements in the Iterator Requirements Table. Integral types cannot be iterators, so, if n1 and n2 are values of an inte- gral type N, the expression X(n1, n2) cannot possibly be interpreted as construction from a range of iterators. It must be taken to mean the first constructor in the Iterator Requirements Table, not the second one. If there is no conversion from N to X::value_type, then this is not a valid expression at all. 10One way that sequence implementors can satisfy this requirement is to specialize the member template for every integral type. Less cumber- some implementation techniques also exist. --end note] [Example: list<int> x; vector<int> y(x.begin(), x.end()); // Construct a vector // from a range of iterators. vector<int> z(100, 1); // Construct a vector of 100 // elements, all initialized // to 1. The arguments are // not interpreted as iterators. --end example] 11The operations in Table 6 are provided only for the containers for which they take constant time: Table 6--Optional sequence operations +----------------------------------------------------------------------------+ | expression return type operational container | | semantics | +----------------------------------------------------------------------------+ |a.front() reference; *a.begin() vector, list, deque | | const_refer- | | ence for con- | | stant a | +----------------------------------------------------------------------------+ |a.back() reference; *--a.end() vector, list, deque | | const_refer- | | ence for con- | | stant a | +----------------------------------------------------------------------------+ |a.push_front(x) void a.insert(a.begin(),x) list, deque | +----------------------------------------------------------------------------+ |a.push_back(x) void a.insert(a.end(),x) vector, list, deque | +----------------------------------------------------------------------------+ |a.pop_front() void a.erase(a.begin()) list, deque | +----------------------------------------------------------------------------+ |a.pop_back() void a.erase(--a.end()) vector, list, deque | +----------------------------------------------------------------------------+ |a[n] reference; *(a.begin() + n) vector, deque | | const_refer- | | ence for con- | | stant a | +----------------------------------------------------------------------------+ |a.at(n) reference; *(a.begin() + n) vector, deque | | const_refer- | | ence for con- | | stant a | +----------------------------------------------------------------------------+ 12The member function at() provides bounds-checked access to container elements. at() throws out_of_range if n >= a.size(). 23.1.2 Associative containers [lib.associative.reqmts] 1 Associative containers provide an ability for fast retrieval of data based on keys. The library provides four basic kinds of associative containers: set, multiset, map and multimap. 2 Each associative container is parameterized on Key and an ordering relation Compare that induces a strict weak ordering (_lib.alg.sort- ing_) on elements of Key. In addition, map and multimap associate an arbitrary type T with the Key. The object of type Compare is called the comparison object of a container. This comparison object may be a pointer to function or an object of a type with an appropriate func- tion call operator. 3 The phrase ``equivalence of keys'' means the equivalence relation imposed by the comparison and not the operator== on keys. That is, two keys k1 and k2 are considered to be equivalent if for the compari- son object comp, comp(k1, k2) == false && comp(k2, k1) == false. 4 An associative container supports unique keys if it may contain at most one element for each key. Otherwise, it supports equivalent keys. set and map support unique keys. multiset and multimap support equivalent keys. 5 For set and multiset the value type is the same as the key type. For map and multimap it is equal to pair<const Key, T>. 6 iterator of an associative container is of the bidirectional iterator category. 7 In Table 7, X is an associative container class, a is a value of X, a_uniq is a value of X when X supports unique keys, and a_eq is a value of X when X supports multiple keys, i and j satisfy input itera- tor requirements and refer to elements of value_type, [i, j) is a valid range, p and q2 are valid iterators to a, q and q1 are valid dereferenceable iterators to a, [q1, q2) is a valid range, t is a value of X::value_type and k is a value of X::key_type. Table 7--Associative container requirements (in addition to container) ------------------------------------------------------------------------------------- expression return type assertion/note complexity pre/post-condition ------------------------------------------------------------------------------------- X::key_type Key Key is Assignable compile time ------------------------------------------------------------------------------------- X::key_compare Compare defaults to less<key_type> compile time ------------------------------------------------------------------------------------- X:: value_com- a binary pred- is the same as key_compare for set compile time pare icate type and multiset; is an ordering relation on pairs induced by the first compo- nent (i.e. Key) for map and multimap. ------------------------------------------------------------------------------------- X(c) constructs an empty container; constant X a(c); uses c as a comparison object ------------------------------------------------------------------------------------- X() constructs an empty container; constant X a; uses Compare() as a comparison object ------------------------------------------------------------------------------------- X(i,j,c); constructs an empty container and in- NlogN in gen- X a(i,j,c); serts elements from the range [i, j) eral (N is the into it; uses c as a comparison ob- distance from ject i to j); linear if [i, j) is sorted with val- ue_comp() ------------------------------------------------------------------------------------- X(i, j) same as above, but uses Compare() as same as above a comparison object. X a(i, j); ------------------------------------------------------------------------------------- a.key_comp() X::key_compare returns the comparison object out of constant which a was constructed. ------------------------------------------------------------------------------------- a.value_comp() X:: value_com- returns an object of value_compare constant pare constructed out of the comparison ob- ject ------------------------------------------------------------------------------------- a.uniq_ in- pair<iterator, inserts t if and only if there is no logarithmic sert(t) bool> element in the container with key equivalent to the key of t. The bool component of the returned pair indi- cates whether the insertion takes place and the iterator component of the pair points to the element with key equivalent to the key of t. ------------------------------------------------------------------------------------- | | | | | | | | |a_eq.insert(t) iterator inserts t and returns the iterator logarithmic | | pointing to the newly inserted ele- | | ment. | +-----------------------------------------------------------------------------------+ Table 7--Associative container requirements ----------------------------------------------------------------------------------------- expression return type assertion/note complexity pre/post-condition ----------------------------------------------------------------------------------------- a.insert(p,t) iterator inserts t if and only if there is logarithmic in no element with key equivalent to general, but amor- the key of t in containers with tized constant if unique keys; always inserts t in t is inserted containers with equivalent keys. right after p. always returns the iterator point- ing to the element with key equiva- lent to the key of t. iterator p is a hint pointing to where the in- sert should start to search. ----------------------------------------------------------------------------------------- a.insert(i,j) void pre: i,j are not iterators into a. Nlog(size()+N) (N inserts each element from the range is the distance [i, j) if and only if there is no from i to j) in element with key equivalent to the general; key of that element in containers linear if [i, j) with unique keys; always inserts is sorted accord- that element in containers with ing to val- equivalent keys. ue_comp() ----------------------------------------------------------------------------------------- a.erase(k) size_type erases all the elements in the con- log(size()) + tainer with key equivalent to k. count(k) returns the number of erased ele- ments. ----------------------------------------------------------------------------------------- a.erase(q) void erases the element pointed to by q. amortized constant ----------------------------------------------------------------------------------------- a.erase(q1,q2) void erases all the elements in the log(size())+ N range [q1, q2). where N is the distance from q1 to q2. ----------------------------------------------------------------------------------------- a.clear() void erase(a.begin(), a.end())) log(size()) + N post: size == 0 ----------------------------------------------------------------------------------------- a.find(k) iterator; con- returns an iterator pointing to an logarithmic st_iterator element with the key equivalent to for constant a k, or a.end() if such an element is not found. ----------------------------------------------------------------------------------------- a.count(k) size_type returns the number of elements with log(size()) + key equivalent to k count(k) ----------------------------------------------------------------------------------------- a.lower_bound(k) logarithmic | | | | | | | | | iterator; con- returns an iterator pointing to the | | st_iterator first element with key not less | | for constant a than k. | +---------------------------------------------------------------------------------------+ |a.upper_bound(k) iterator; con- returns an iterator pointing to the logarithmic | | st_iterator first element with key greater than | | for constant a k. | +---------------------------------------------------------------------------------------+ |a.equal_range(k) pair< itera- equivalent to make_pair( a.low- logarithmic | | tor,iterator>; er_bound(k), a.upper_bound(k)). | | pair< con- | | st_iterator, | | const_itera- | | tor> for con- | | stant a | +---------------------------------------------------------------------------------------+ 8 The insert members shall not affect the validity of iterators and ref- erences to the container, and the erase members shall invalidate only iterators and references to the erased elements. 9 The fundamental property of iterators of associative containers is that they iterate through the containers in the non-descending order of keys where non-descending is defined by the comparison that was used to construct them. For any two dereferenceable iterators i and j such that distance from i to j is positive, value_comp(*j, *i) == false 10For associative containers with unique keys the stronger condition holds, value_comp(*i, *j) != false. 11When an associative container is constructed by passing a comparison object the container shall not store a pointer or reference to the passed object, even if that object is passed by reference. When an associative container is copied, either through a copy constructor or an assignment operator, the target container shall then use the com- parison object from the container being copied, as if that comparison object had been passed to the target container in its constructor. 23.2 Sequences [lib.sequences] 1 Headers <deque>, <list>, <queue>, <stack>, and <vector>. Header <deque> synopsis namespace std { template <class T, class Allocator = allocator<T> > class deque; template <class T, class Allocator> bool operator==(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator< (const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator!=(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator> (const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator>=(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator<=(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> void swap(deque<T,Allocator>& x, deque<T,Allocator>& y); } Header <list> synopsis namespace std { template <class T, class Allocator = allocator<T> > class list; template <class T, class Allocator> bool operator==(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator< (const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator!=(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator> (const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator>=(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator<=(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> void swap(list<T,Allocator>& x, list<T,Allocator>& y); } Header <queue> synopsis namespace std { template <class T, class Container = deque<T> > class queue; template <class T, class Container> bool operator==(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator< (const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator!=(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator> (const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator>=(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator<=(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container = vector<T>, class Compare = less<Container::value_type> > class priority_queue; } Header <stack> synopsis namespace std { template <class T, class Container = deque<T> > class stack; template <class T, class Container> bool operator==(const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator< (const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator!=(const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator> (const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator>=(const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator<=(const stack<T, Container>& x, const stack<T, Container>& y); } Header <vector> synopsis namespace std { template <class T, class Allocator = allocator<T> > class vector; template <class T, class Allocator> bool operator==(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator< (const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator!=(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator> (const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator>=(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator<=(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> void swap(vector<T,Allocator>& x, vector<T,Allocator>& y); template <class Allocator> class vector<bool,Allocator>; template <class Allocator> bool operator==(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator< (const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator!=(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator> (const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator>=(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator<=(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> void swap(vector<bool,Allocator>& x, vector<bool,Allocator>& y); } 23.2.1 Template class deque [lib.deque] 1 A deque is a kind of sequence that, like a vector (_lib.vector_), sup- ports random access iterators. In addition, it supports constant time insert and erase operations at the beginning or the end; insert and erase in the middle take linear time. That is, a deque is especially optimized for pushing and popping elements at the beginning and end. As with vectors, storage management is handled automatically. 2 A deque satisfies all of the requirements of a container and of a reversible container (given in tables in _lib.container.requirements_) and of a sequence, including the optional sequence requirements (_lib.sequence.reqmts_). Descriptions are provided here only for operations on deque that are not described in one of these tables or for operations where there is additional semantic information. namespace std { template <class T, class Allocator = allocator<T> > class deque { public: // types: typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef T value_type; typedef Allocator allocator_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer; typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; // _lib.deque.cons_ construct/copy/destroy: explicit deque(const Allocator& = Allocator()); explicit deque(size_type n, const T& value = T(), const Allocator& = Allocator()); template <class InputIterator> deque(InputIterator first, InputIterator last, const Allocator& = Allocator()); deque(const deque<T,Allocator>& x); ~deque(); deque<T,Allocator>& operator=(const deque<T,Allocator>& x); template <class InputIterator> void assign(InputIterator first, InputIterator last); void assign(size_type n, const T& t); allocator_type get_allocator() const; // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // _lib.deque.capacity_ capacity: size_type size() const; size_type max_size() const; void resize(size_type sz, T c = T()); bool empty() const; // element access: reference operator[](size_type n); const_reference operator[](size_type n) const; reference at(size_type n); const_reference at(size_type n) const; reference front(); const_reference front() const; reference back(); const_reference back() const; // _lib.deque.modifiers_ modifiers: void push_front(const T& x); void push_back(const T& x); iterator insert(iterator position, const T& x); void insert(iterator position, size_type n, const T& x); template <class InputIterator> void insert (iterator position, InputIterator first, InputIterator last); void pop_front(); void pop_back(); iterator erase(iterator position); iterator erase(iterator first, iterator last); void swap(deque<T,Allocator>&); void clear(); }; template <class T, class Allocator> bool operator==(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator< (const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator!=(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator> (const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator>=(const deque<T,Allocator>& x, const deque<T,Allocator>& y); template <class T, class Allocator> bool operator<=(const deque<T,Allocator>& x, const deque<T,Allocator>& y); // specialized algorithms: template <class T, class Allocator> void swap(deque<T,Allocator>& x, deque<T,Allocator>& y); } 23.2.1.1 deque constructors, copy, and [lib.deque.cons] assignment explicit deque(const Allocator& = Allocator()); Effects: Constructs an empty deque, using the specified allocator. Complexity: Constant. explicit deque(size_t n, const T& value = T(), const Allocator& = Allocator()); Effects: Constructs a deque with n copies of value, using the specified allo- cator. Complexity: Linear in n. template <class InputIterator> deque(InputIterator first, InputIterator last, const Allocator& = Allocator()); Effects: Constructs a deque equal to the the range [first, last), using the specified allocator. Complexity: If the iterators first and last are forward iterators, bidirectional iterators, or random access iterators the constructor makes only N calls to the copy constructor, and performs no reallocations, where N is last - first. It makes at most 2N calls to the copy construc- tor of T and log N reallocations if they are input iterators.1) template <class InputIterator> void assign(InputIterator first, InputIterator last); Effects: erase(begin(), end()); insert(begin(), first, last); void assign(size_type n, const T& t); Effects: erase(begin(), end()); insert(begin(), n, t); 23.2.1.2 deque capacity [lib.deque.capacity] void resize(size_type sz, T c = T()); Effects: _________________________ 1) The complexity is greater in the case of input iterators because each element must be added individually: it is impossible to determine the distance between first abd last before doing the copying. if (sz > size()) insert(end(), sz-size(), c); else if (sz < size()) erase(begin()+sz, end()); else ; // do nothing 23.2.1.3 deque modifiers [lib.deque.modifiers] iterator insert(iterator position, const T& x); void insert(iterator position, size_type n, const T& x); template <class InputIterator> void insert(iterator position, InputIterator first, InputIterator last); Effects: An insert in the middle of the deque invalidates all the iterators and references to elements of the deque. An insert at either end of the deque invalidates all the iterators to the deque, but has no effect on the validity of references to elements of the deque. Complexity: In the worst case, inserting a single element into a deque takes time linear in the minimum of the distance from the insertion point to the beginning of the deque and the distance from the insertion point to the end of the deque. Inserting a single element either at the beginning or end of a deque always takes constant time and causes a single call to the copy constructor of T. iterator erase(iterator position); iterator erase(iterator first, iterator last); Effects: An erase in the middle of the deque invalidates all the iterators and references to elements of the deque. An erase at either end of the deque invalidates only the iterators and the references to the erased elements. Complexity: The number of calls to the destructor is the same as the number of elements erased, but the number of the calls to the assignment oper- ator is at most equal to the minimum of the number of elements before the erased elements and the number of elements after the erased elements. 23.2.1.4 deque specialized algorithms [lib.deque.special] template <class T, class Allocator> void swap(deque<T,Allocator>& x, deque<T,Allocator>& y); Effects: x.swap(y); 23.2.2 Template class list [lib.list] 1 A list is a kind of sequence that supports bidirectional iterators and allows constant time insert and erase operations anywhere within the sequence, with storage management handled automatically. Unlike vec- tors (_lib.vector_) and deques (_lib.deque_), fast random access to list elements is not supported, but many algorithms only need sequen- tial access anyway. 2 A list satisfies all of the requirements of a container and of a reversible container (given in two tables in _lib.container.require- ments_) and of a sequence, including most of the the optional sequence requirements (_lib.sequence.reqmts_). The exceptions are the opera- tor[] and at member functions, which are not provided.2) Descriptions are provided here only for operations on list that are not described in one of these tables or for operations where there is additional semantic information. namespace std { template <class T, class Allocator = allocator<T> > class list { public: // types: typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef T value_type; typedef Allocator allocator_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer; typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; // _lib.list.cons_ construct/copy/destroy: explicit list(const Allocator& = Allocator()); explicit list(size_type n, const T& value = T(), const Allocator& = Allocator()); template <class InputIterator> list(InputIterator first, InputIterator last, const Allocator& = Allocator()); list(const list<T,Allocator>& x); ~list(); list<T,Allocator>& operator=(const list<T,Allocator>& x); template <class InputIterator> void assign(InputIterator first, InputIterator last); void assign(size_type n, const T& t); allocator_type get_allocator() const; _________________________ 2) These member functions are only provided by containers whose itera- tors are random access iterators. // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // _lib.list.capacity_ capacity: bool empty() const; size_type size() const; size_type max_size() const; void resize(size_type sz, T c = T()); // element access: reference front(); const_reference front() const; reference back(); const_reference back() const; // _lib.list.modifiers_ modifiers: void push_front(const T& x); void pop_front(); void push_back(const T& x); void pop_back(); iterator insert(iterator position, const T& x); void insert(iterator position, size_type n, const T& x); template <class InputIterator> void insert(iterator position, InputIterator first, InputIterator last); iterator erase(iterator position); iterator erase(iterator position, iterator last); void swap(list<T,Allocator>&); void clear(); // _lib.list.ops_ list operations: void splice(iterator position, list<T,Allocator>& x); void splice(iterator position, list<T,Allocator>& x, iterator i); void splice(iterator position, list<T,Allocator>& x, iterator first, iterator last); void remove(const T& value); template <class Predicate> void remove_if(Predicate pred); void unique(); template <class BinaryPredicate> void unique(BinaryPredicate binary_pred); void merge(list<T,Allocator>& x); template <class Compare> void merge(list<T,Allocator>& x, Compare comp); void sort(); template <class Compare> void sort(Compare comp); void reverse(); }; template <class T, class Allocator> bool operator==(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator< (const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator!=(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator> (const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator>=(const list<T,Allocator>& x, const list<T,Allocator>& y); template <class T, class Allocator> bool operator<=(const list<T,Allocator>& x, const list<T,Allocator>& y); // specialized algorithms: template <class T, class Allocator> void swap(list<T,Allocator>& x, list<T,Allocator>& y); } 23.2.2.1 list constructors, copy, and assignment [lib.list.cons] explicit list(const Allocator& = Allocator()); Effects: Constructs an empty list, using the specified allocator. Complexity: Constant. explicit list(size_type n, const T& value = T(), const Allocator& = Allocator()); Effects: Constructs a list with n copies of value, using the specified allo- cator. Complexity: Linear in n. template <class InputIterator> list(InputIterator first, InputIterator last, const Allocator& = Allocator()); Effects: Constructs a list equal to the range [first, last). Complexity: Linear in first - last. template <class InputIterator> void assign(InputIterator first, InputIterator last); Effects: erase(begin(), end()); insert(begin(), first, last); void assign(size_type n, const T& t); Effects: erase(begin(), end()); insert(begin(), n, t); 23.2.2.2 list capacity [lib.list.capacity] void resize(size_type sz, T c = T()); Effects: if (sz > size()) insert(end(), sz-size(), c); else if (sz < size()) erase(begin()+sz, end()); else ; // do nothing 23.2.2.3 list modifiers [lib.list.modifiers] iterator insert(iterator position, const T& x); void insert(iterator position, size_type n, const T& x); template <class InputIterator> void insert(iterator position, InputIterator first, InputIterator last); void push_front(const T& x); void push_back(const T& x); Notes: Does not affect the validity of iterators and references. If an exception is thrown there are no effects. Complexity: Insertion of a single element into a list takes constant time and exactly one call to the copy constructor of T. Insertion of multi- ple elements into a list is linear in the number of elements inserted, and the number of calls to the copy constructor of T is exactly equal to the number of elements inserted. iterator erase(iterator position); iterator erase(iterator first, iterator last); void pop_front(); void pop_back(); void clear();. Effects: Invalidates only the iterators and references to the erased ele- ments. Throws: Nothing. Complexity: Erasing a single element is a constant time operation with a single call to the destructor of T. Erasing a range in a list is linear time in the size of the range and the number of calls to the destructor of type T is exactly equal to the size of the range. 23.2.2.4 list operations [lib.list.ops] 1 Since lists allow fast insertion and erasing from the middle of a list, certain operations are provided specifically for them. 2 list provides three splice operations that destructively move elements from one list to another. void splice(iterator position, list<T,Allocator>& x); Requires: &x != this. Effects: Inserts the contents of x before position and x becomes empty. Invalidates all iterators and references to the list x. Throws: Nothing Complexity: Constant time. void splice(iterator position, list<T,Allocator>& x, iterator i); Effects: Inserts an element pointed to by i from list x before position and removes the element from x. The result is unchanged if position == i or position == ++i. Invalidates only the iterators and references to the spliced element. Throws: Nothing Requires: i is a valid dereferenceable iterator of x. Complexity: Constant time. void splice(iterator position, list<T,Allocator>& x, iterator first, iterator last); Effects: Inserts elements in the range [first, last) before position and removes the elements from x. Requires: [first, last) is a valid range in x. The result is undefined if position is an iterator in the range [first, last). Invalidates only the iterators and references to the spliced elements. Throws: Nothing Complexity: Constant time if &x == this; otherwise, linear time. void remove(const T& value); template <class Predicate> void remove_if(Predicate pred); Effects: Erases all the elements in the list referred by a list iterator i for which the following conditions hold: *i == value, pred(*i) != false. Throws: Nothing unless an exception is thrown by *i == value or pred(*i) != false. Notes: Stable: the relative order of the elements that are not removed is the same as their relative order in the original list. Complexity: Exactly size() applications of the corresponding predicate. void unique(); template <class BinaryPredicate> void unique(BinaryPredicate binary_pred); Effects: Eliminates all but the first element from every consecutive group of equal elements referred to by the iterator i in the range [first + 1, last) for which *i == *(i-1) (for the version of unique with no arguments) or pred(*i, *(i - 1)) (for the version of unique with a predicate argument) holds. Throws: Nothing unless an exception in thrown by *i == *(i-1) or pred(*i, *(i - 1)) Complexity: If the range (last - first) is not empty, exactly (last - first) - 1 applications of the corresponding predicate, otherwise no applica- tions of the predicate. void merge(list<T,Allocator>& x); template <class Compare> void merge(list<T,Allocator>& x, Compare comp); Requires: comp defines a strict weak ordering (_lib.alg.sorting_), and the list and the argument list are both sorted according to this order- ing. Effects: Merges the argument list into the list. Notes: Stable: for equivalent elements in the two lists, the elements from the list always precede the elements from the argument list. x is empty after the merge. Complexity: At most size() + x.size() - 1 comparisons. If an exception is thrown other than by a comparison there are no effects. void reverse(); Effects: Reverses the order of the elements in the list. Throws: Nothing. Complexity: Linear time. void sort(); template <class Compare> void sort(Compare comp); Requires: operator< (for the first version, or comp (for the second version) defines a strict weak ordering (_lib.alg.sorting_). Effects: Sorts the list according to the operator< or a Compare function object. Notes: Stable: the relative order of the equivalent elements is preserved. If an exception is thrown the order of the elements in the list is indeterminate. Complexity: Approximately NlogN comparisons, where N == size(). 23.2.2.5 list specialized algorithms [lib.list.special] template <class T, class Allocator> void swap(list<T,Allocator>& x, list<T,Allocator>& y); Effects: x.swap(y); 23.2.3 Container adaptors [lib.container.adaptors] 1 The container adaptors each take a Container template parameter, and each constructor takes a Container reference argument. This container is copied into the Container member of each adaptor. 23.2.3.1 Template class queue [lib.queue] 1 Any sequence supporting operations front(), back(), push_back() and pop_front() can be used to instantiate queue. In particular, list (_lib.list_) and deque (_lib.deque_) can be used. namespace std { template <class T, class Container = deque<T> > class queue { public: typedef typename Container::value_type value_type; typedef typename Container::size_type size_type; typedef typename Container container_type; protected: Container c; public: explicit queue(const Container& = Container()); bool empty() const { return c.empty(); } size_type size() const { return c.size(); } value_type& front() { return c.front(); } const value_type& front() const { return c.front(); } value_type& back() { return c.back(); } const value_type& back() const { return c.back(); } void push(const value_type& x) { c.push_back(x); } void pop() { c.pop_front(); } }; template <class T, class Container> bool operator==(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator< (const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator!=(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator> (const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator>=(const queue<T, Container>& x, const queue<T, Container>& y); template <class T, class Container> bool operator<=(const queue<T, Container>& x, const queue<T, Container>& y); } operator== Returns: x.c == y.c. operator< Returns: x.c < y.c. 23.2.3.2 Template class priority_queue [lib.priority.queue] 1 Any sequence with random access iterator and supporting operations front(), push_back() and pop_back() can be used to instantiate prior- ity_queue. In particular, vector (_lib.vector_) and deque (_lib.deque_) can be used. Instantiating priority_queue also involves supplying a function or function object for making priority compar- isons; the library assumes that the function or function object defines a strict weak ordering (_lib.alg.sorting_). namespace std { template <class T, class Container = vector<T>, class Compare = less<Container::value_type> > class priority_queue { public: typedef typename Container::value_type value_type; typedef typename Container::size_type size_type; typedef typename Container container_type; protected: Container c; Compare comp; public: explicit priority_queue(const Compare& x = Compare(), const Container& = Container()); template <class InputIterator> priority_queue(InputIterator first, InputIterator last, const Compare& x = Compare(), const Container& = Container()); bool empty() const { return c.empty(); } size_type size() const { return c.size(); } const value_type& top() const { return c.front(); } void push(const value_type& x); void pop(); }; // no equality is provided } 23.2.3.2.1 priority_queue constructors [lib.priqueue.cons] priority_queue(const Compare& x = Compare(), const Container& y = Container()); Requires: x defines a strict weak ordering (_lib.alg.sorting_). Effects: Initializes comp with x and c with y; calls make_heap(c.begin(), c.end(), comp). template <class InputIterator> priority_queue(InputIterator first, InputIterator last, const Compare& x = Compare(), const Container& y = Container()); Requires: x defines a strict weak ordering (_lib.alg.sorting_). Effects: Initializes c with y and comp with x; calls c.insert(c.end(), first, last); and finally calls make_heap(c.begin(), c.end(), comp). 23.2.3.2.2 priority_queue members [lib.priqueue.members] void push(const value_type& x); Effects: c.push_back(x); push_heap(c.begin(), c.end(), comp); void pop(); Effects: pop_heap(c.begin(), c.end(), comp); c.pop_back(); 23.2.3.3 Template class stack [lib.stack] 1 Any sequence supporting operations back(), push_back() and pop_back() can be used to instantiate stack. In particular, vector (_lib.vec- tor_), list (_lib.list_) and deque (_lib.deque_) can be used. namespace std { template <class T, class Container = deque<T> > class stack { public: typedef typename Container::value_type value_type; typedef typename Container::size_type size_type; typedef typename Container container_type; protected: Container c; public: explicit stack(const Container& = Container()); bool empty() const { return c.empty(); } size_type size() const { return c.size(); } value_type& top() { return c.back(); } const value_type& top() const { return c.back(); } void push(const value_type& x) { c.push_back(x); } void pop() { c.pop_back(); } }; template <class T, class Container> bool operator==(const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator< (const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator!=(const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator> (const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator>=(const stack<T, Container>& x, const stack<T, Container>& y); template <class T, class Container> bool operator<=(const stack<T, Container>& x, const stack<T, Container>& y); } 23.2.4 Template class vector [lib.vector] 1 A vector is a kind of sequence that supports random access iterators. In addition, it supports (amortized) constant time insert and erase operations at the end; insert and erase in the middle take linear time. Storage management is handled automatically, though hints can be given to improve efficiency. 2 A vector satisfies all of the requirements of a container and of a reversible container (given in two tables in _lib.container.require- ments_) and of a sequence, including most of the optional sequence requirements (_lib.sequence.reqmts_). The exceptions are the push_front and pop_front member functions, which are not provided. Descriptions are provided here only for operations on vector that are not described in one of these tables or for operations where there is additional semantic information. namespace std { template <class T, class Allocator = allocator<T> > class vector { public: // types: typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef T value_type; typedef Allocator allocator_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; // _lib.vector.cons_ construct/copy/destroy: explicit vector(const Allocator& = Allocator()); explicit vector(size_type n, const T& value = T(), const Allocator& = Allocator()); template <class InputIterator> vector(InputIterator first, InputIterator last, const Allocator& = Allocator()); vector(const vector<T,Allocator>& x); ~vector(); vector<T,Allocator>& operator=(const vector<T,Allocator>& x); template <class InputIterator> void assign(InputIterator first, InputIterator last); void assign(size_type n, const T& u); allocator_type get_allocator() const; // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // _lib.vector.capacity_ capacity: size_type size() const; size_type max_size() const; void resize(size_type sz, T c = T()); size_type capacity() const; bool empty() const; void reserve(size_type n); // element access: reference operator[](size_type n); const_reference operator[](size_type n) const; const_reference at(size_type n) const; reference at(size_type n); reference front(); const_reference front() const; reference back(); const_reference back() const; // _lib.vector.modifiers_ modifiers: void push_back(const T& x); void pop_back(); iterator insert(iterator position, const T& x); void insert(iterator position, size_type n, const T& x); template <class InputIterator> void insert(iterator position, InputIterator first, InputIterator last); iterator erase(iterator position); iterator erase(iterator first, iterator last); void swap(vector<T,Allocator>&); void clear(); }; template <class T, class Allocator> bool operator==(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator< (const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator!=(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator> (const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator>=(const vector<T,Allocator>& x, const vector<T,Allocator>& y); template <class T, class Allocator> bool operator<=(const vector<T,Allocator>& x, const vector<T,Allocator>& y); // specialized algorithms: template <class T, class Allocator> void swap(vector<T,Allocator>& x, vector<T,Allocator>& y); } 23.2.4.1 vector constructors, copy, and [lib.vector.cons] assignment vector(const Allocator& = Allocator()); explicit vector(size_type n, const T& value = T(), const Allocator& = Allocator()); template <class InputIterator> vector(InputIterator first, InputIterator last, const Allocator& = Allocator()); vector(const vector<T,Allocator>& x); Complexity: The constructor template <class InputIterator> vector(InputIterator first, InputIterator last) makes only N calls to the copy construc- tor of T (where N is the distance between first and last) and no reallocations if iterators first and last are of forward, bidirec- tional, or random access categories. It does at most 2N calls to the copy constructor of T and logN reallocations if they are just input iterators, since it is impossible to determine the distance between first and last and then do copying. template <class InputIterator> void assign(InputIterator first, InputIterator last); Effects: erase(begin(), end()); insert(begin(), first, last); void assign(size_type n, const T& t); Effects: erase(begin(), end()); insert(begin(), n, t); 23.2.4.2 vector capacity [lib.vector.capacity] size_type capacity() const; Returns: The total number of elements that the vector can hold without requiring reallocation. void reserve(size_type n); Effects: A directive that informs a vector of a planned change in size, so that it can manage the storage allocation accordingly. After reserve(), capacity() is greater or equal to the argument of reserve if reallocation happens; and equal to the previous value of capac- ity() otherwise. Reallocation happens at this point if and only if the current capacity is less than the argument of reserve(). Complexity: It does not change the size of the sequence and takes at most linear time in the size of the sequence. Notes: Reallocation invalidates all the references, pointers, and iterators referring to the elements in the sequence. It is guaranteed that no reallocation takes place during insertions that happen after a call to reserve() until the time when an insertion would make the size of the vector greater than the size specified in the most recent call to reserve(). void resize(size_type sz, T c = T()); Effects: if (sz > size()) insert(end(), sz-size(), c); else if (sz < size()) erase(begin()+sz, end()); else ; // do nothing 23.2.4.3 vector modifiers [lib.vector.modifiers] iterator insert(iterator position, const T& x); void insert(iterator position, size_type n, const T& x); template <class InputIterator> void insert(iterator position, InputIterator first, InputIterator last); Notes: Causes reallocation if the new size is greater than the old capac- ity. If no reallocation happens, all the iterators and references before the insertion point remain valid. Complexity: If first and last are forward iterators, bidirectional iterators, or random access iterators, the complexity is linear in the number of elements in the range [first, last) plus the distance to the end of the vector. If they are input iterators, the complexity is propor- tional to the number of elements in the range [first, last) times the distance to the end of the vector. iterator erase(iterator position); iterator erase(iterator first, iterator last); Effects: Invalidates all the iterators and references after the point of the erase. Complexity: The destructor of T is called the number of times equal to the num- ber of the elements erased, but the assignment operator of T is called the number of times equal to the number of elements in the vector after the erased elements. 23.2.4.4 vector specialized algorithms [lib.vector.special] template <class T, class Allocator> void swap(vector<T,Allocator>& x, vector<T,Allocator>& y); Effects: x.swap(y); 23.2.5 Class vector<bool> [lib.vector.bool] 1 To optimize space allocation, a specialization of vector for bool ele- ments is provided: namespace std { template <class Allocator> class vector<bool, Allocator> { public: // types: typedef bool const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef bool value_type; typedef Allocator allocator_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; // bit reference: class reference { friend class vector; reference(); public: ~reference(); operator bool() const; reference& operator=(const bool x); reference& operator=(const reference& x); void flip(); // flips the bit }; // construct/copy/destroy: explicit vector(const Allocator& = Allocator()); explicit vector(size_type n, const bool& value = bool(), const Allocator& = Allocator()); template <class InputIterator> vector(InputIterator first, InputIterator last, const Allocator& = Allocator()); vector(const vector<bool,Allocator>& x); ~vector(); vector<bool,Allocator>& operator=(const vector<bool,Allocator>& x); template <class InputIterator> void assign(InputIterator first, InputIterator last); void assign(size_type n, const T& t); allocator_type get_allocator() const; // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // capacity: size_type size() const; size_type max_size() const; void resize(size_type sz, bool c = false); size_type capacity() const; bool empty() const; void reserve(size_type n); // element access: reference operator[](size_type n); const_reference operator[](size_type n) const; const_reference at(size_type n) const; reference at(size_type n); reference front(); const_reference front() const; reference back(); const_reference back() const; // modifiers: void push_back(const bool& x); void pop_back(); iterator insert(iterator position, const bool& x); void insert (iterator position, size_type n, const bool& x); template <class InputIterator> void insert (iterator position, InputIterator first, InputIterator last); iterator erase(iterator position); iterator erase(iterator first, iterator last); void swap(vector<bool,Allocator>&); static void swap(reference x, reference y); void flip(); // flips all bits void clear(); }; template <class Allocator> bool operator==(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator< (const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator!=(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator> (const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator>=(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); template <class Allocator> bool operator<=(const vector<bool,Allocator>& x, const vector<bool,Allocator>& y); // specialized algorithms: template <class Allocator> void swap(vector<bool,Allocator>& x, vector<bool,Allocator>& y); } 2 reference is a class that simulates the behavior of references of a single bit in vector<bool>. 23.3 Associative containers [lib.associative] 1 Headers <map> and <set>: Header <map> synopsis namespace std { template <class Key, class T, class Compare = less<Key>, class Allocator = allocator<T> > class map; template <class Key, class T, class Compare, class Allocator> bool operator==(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator< (const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator!=(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator> (const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator>=(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator<=(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> void swap(map<Key,T,Compare,Allocator>& x, map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare = less<Key>, class Allocator = allocator<T> > class multimap; template <class Key, class T, class Compare, class Allocator> bool operator==(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator< (const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator!=(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator> (const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator>=(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator<=(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> void swap(multimap<Key,T,Compare,Allocator>& x, multimap<Key,T,Compare,Allocator>& y); } Header <set> synopsis namespace std { template <class Key, class Compare = less<Key>, class Allocator = allocator<Key> > class set; template <class Key, class Compare, class Allocator> bool operator==(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator< (const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator!=(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator> (const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator>=(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator<=(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> void swap(set<Key,Compare,Allocator>& x, set<Key,Compare,Allocator>& y); template <class Key, class Compare = less<Key>, class Allocator = allocator<Key> > class multiset; template <class Key, class Compare, class Allocator> bool operator==(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator< (const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator!=(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator> (const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator>=(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator<=(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> void swap(multiset<Key,Compare,Allocator>& x, multiset<Key,Compare,Allocator>& y); } 23.3.1 Template class map [lib.map] 1 A map is a kind of associative container that supports unique keys (contains at most one of each key value) and provides for fast retrieval of values of another type T based on the keys. Map supports bidirectional iterators. 2 A map satisfies all of the requirements of a container and of a reversible container (_lib.container.requirements_) and of an associa- tive container (_lib.associative.reqmts_). A map also provides most operations described in (_lib.associative.reqmts_) for unique keys. This means that a map supports the a_uniq operations in (_lib.associa- tive.reqmts_) but not the a_eq operations. For a map<Key,T> the key_type is Key and the value_type is pair<const Key,T>. Descriptions are provided here only for operations on map that are not described in one of those tables or for operations where there is additional seman- tic information. namespace std { template <class Key, class T, class Compare = less<Key>, class Allocator = allocator<T> > class map { public: // types: typedef Key key_type; typedef T mapped_type; typedef pair<const Key, T> value_type; typedef Compare key_compare; typedef Allocator allocator_type; typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer; typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; class value_compare : public binary_function<value_type,value_type,bool> { friend class map; protected: Compare comp; value_compare(Compare c) : comp(c) {} public: bool operator()(const value_type& x, const value_type& y) const { return comp(x.first, y.first); } }; // _lib.map.cons_ construct/copy/destroy: explicit map(const Compare& comp = Compare(), const Allocator& = Allocator()); template <class InputIterator> map(InputIterator first, InputIterator last, const Compare& comp = Compare(), const Allocator& = Allocator()); map(const map<Key,T,Compare,Allocator>& x); ~map(); map<Key,T,Compare,Allocator>& operator=(const map<Key,T,Compare,Allocator>& x); // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // capacity: bool empty() const; size_type size() const; size_type max_size() const; // _lib.map.access_ element access: reference operator[](const key_type& x); // modifiers: pair<iterator, bool> insert(const value_type& x); iterator insert(iterator position, const value_type& x); template <class InputIterator> void insert(InputIterator first, InputIterator last); void erase(iterator position); size_type erase(const key_type& x); void erase(iterator first, iterator last); void swap(map<Key,T,Compare,Allocator>&); void clear(); // observers: key_compare key_comp() const; value_compare value_comp() const; // _lib.map.ops_ map operations: iterator find(const key_type& x); const_iterator find(const key_type& x) const; size_type count(const key_type& x) const; iterator lower_bound(const key_type& x); const_iterator lower_bound(const key_type& x) const; iterator upper_bound(const key_type& x); const_iterator upper_bound(const key_type& x) const; pair<iterator,iterator> equal_range(const key_type& x); pair<const_iterator,const_iterator> equal_range(const key_type& x) const; }; template <class Key, class T, class Compare, class Allocator> bool operator==(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator< (const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator!=(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator> (const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator>=(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator<=(const map<Key,T,Compare,Allocator>& x, const map<Key,T,Compare,Allocator>& y); // specialized algorithms: template <class Key, class T, class Compare, class Allocator> void swap(map<Key,T,Compare,Allocator>& x, map<Key,T,Compare,Allocator>& y); } 23.3.1.1 map constructors, copy, and assignment [lib.map.cons] explicit map(const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty map using the specified comparison object and allocator. Complexity: Constant. template <class InputIterator> map(InputIterator first, InputIterator last, const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty map using the specified comparison object and allocator, and inserts elements from the range [first, last). Complexity: Linear in N if the range [first, last) is already sorted using comp and otherwise N log N, where N is last - first. 23.3.1.2 map element access [lib.map.access] reference operator[](const key_type& x); Returns: (*((insert(make_pair(x, T()))).first)).second. 23.3.1.3 map operations [lib.map.ops] iterator find(const key_type& x); const_iterator find(const key_type& x) const; iterator lower_bound(const key_type& x); const_iterator lower_bound(const key_type& x) const; iterator upper_bound(const key_type& x); const_iterator upper_bound(const key_type &x) const; pair<iterator, iterator> equal_range(const_key_type &x); pair<const_iterator, const_iterator> equal_range(const key_type& x) const; 1 The find, lower_bound, upper_bound and equal_range member functions each have two versions, one const and the other non-const. In each case the behavior of the two functions is identical except that the const version returns a const_iterator and the non-const version an iterator(_lib.associative.reqmts_). 23.3.1.4 map specialized algorithms [lib.map.special] template <class Key, class T, class Compare, class Allocator> void swap(map<Key,T,Compare,Allocator>& x, map<Key,T,Compare,Allocator>& y); Effects: x.swap(y); 23.3.2 Template class multimap [lib.multimap] 1 A multimap is a kind of associative container that supports equivalent keys (possibly containing multiple copies of the same key value) and provides for fast retrieval of values of another type T based on the keys. Multimap supports bidirectional iterators. 2 A multimap satisfies all of the requirements of a container and of a reversible container (_lib.container.requirements_) and of an associa- tive container (_lib.associative.reqmts_). A multimap also provides most operations described in (_lib.associative.reqmts_) for equal keys. This means that a multimap supports the a_eq operations in (_lib.associative.reqmts_) but not the a_uniq operations. For a mul- timap<Key,T> the key_type is Key and the value_type is pair<const Key,T>. Descriptions are provided here only for operations on mul- timap that are not described in one of those tables or for operations where there is additional semantic information. namespace std { template <class Key, class T, class Compare = less<Key>, class Allocator = allocator<T> > class multimap { public: // types: typedef Key key_type; typedef T mapped_type; typedef pair<const Key,T> value_type; typedef Compare key_compare; typedef Allocator allocator_type; typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer; typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; class value_compare : public binary_function<value_type,value_type,bool> { friend class multimap; protected: Compare comp; value_compare(Compare c) : comp(c) {} public: bool operator()(const value_type& x, const value_type& y) const { return comp(x.first, y.first); } }; // construct/copy/destroy: explicit multimap(const Compare& comp = Compare(), const Allocator& = Allocator()); template <class InputIterator> multimap(InputIterator first, InputIterator last, const Compare& comp = Compare(), const Allocator& = Allocator()); multimap(const multimap<Key,T,Compare,Allocator>& x); ~multimap(); multimap<Key,T,Compare,Allocator>& operator=(const multimap<Key,T,Compare,Allocator>& x); allocator_type get_allocator() const; // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // capacity: bool empty() const; size_type size() const; size_type max_size() const; // modifiers: iterator insert(const value_type& x); iterator insert(iterator position, const value_type& x); template <class InputIterator> void insert(InputIterator first, InputIterator last); void erase(iterator position); size_type erase(const key_type& x); void erase(iterator first, iterator last); void swap(multimap<Key,T,Compare,Allocator>&); void clear(); // observers: key_compare key_comp() const; value_compare value_comp() const; // map operations: iterator find(const key_type& x); const_iterator find(const key_type& x) const; size_type count(const key_type& x) const; iterator lower_bound(const key_type& x); const_iterator lower_bound(const key_type& x) const; iterator upper_bound(const key_type& x); const_iterator upper_bound(const key_type& x) const; pair<iterator,iterator> equal_range(const key_type& x); pair<const_iterator,const_iterator> equal_range(const key_type& x) const; }; template <class Key, class T, class Compare, class Allocator> bool operator==(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator< (const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator!=(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator> (const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator>=(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); template <class Key, class T, class Compare, class Allocator> bool operator<=(const multimap<Key,T,Compare,Allocator>& x, const multimap<Key,T,Compare,Allocator>& y); // specialized algorithms: template <class Key, class T, class Compare, class Allocator> void swap(multimap<Key,T,Compare,Allocator>& x, multimap<Key,T,Compare,Allocator>& y); } 23.3.2.1 multimap constructors [lib.multimap.cons] explicit multimap(const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty multimap using the specified comparison object and allocator. Complexity: Constant. template <class InputIterator> multimap(InputIterator first, InputIterator last, const Compare& comp = Compare(), const Allocator& = Allocator()0; Effects: Constructs an empty multimap using the specified comparison object and allocator, and inserts elements from the range [first, last). Complexity: Linear in N if the range [first, last). is already sorted using comp and otherwise N log N, where N is last - first. 23.3.2.2 multimap operations [lib.multimap.ops] iterator find(const key_type &x); const_iterator find(const key_type& x) const; iterator lower_bound(const key_type& x); const_iterator lower_bound(const key_type& x) const; pair<iterator, iterator> equal_range(const key_type& x); pair<const_iterator, const_iterator> equal_range(const_key_type& x) const; 1 The find, lower_bound, upper_bound, and equal_range member functions each have two versions, one const and one non-const. In each case the behavior of the two versions is identical except that the const ver- sion returns a const_iterator and the non-const version an itera- tor(_lib.associative.reqmts). 23.3.2.3 multimap specialized algorithms [lib.multimap.special] template <class Key, class T, class Compare, class Allocator> void swap(multimap<Key,T,Compare,Allocator>& x, multimap<Key,T,Compare,Allocator>& y); Effects: x.swap(y); 23.3.3 Template class set [lib.set] 1 A set is a kind of associative container that supports unique keys (contains at most one of each key value) and provides for fast retrieval of the keys themselves. Set supports bidirectional itera- tors. 2 A set satisfies all of the requirements of a container and of a reversible container (_lib.container.requirements_), and of an asso- ciative container (_lib.associative.reqmts_). A set also provides most operations described in (_lib.associative.reqmts_) for unique keys. This means that a set supports the a_uniq operations in (_lib.associative.reqmts_) but not the a_eq operations. For a set<Key> both the key_type and value_type are Key. Descriptions are provided here only for operations on set that are not described in one of these tables and for operations where there is additional semantic information. namespace std { template <class Key, class Compare = less<Key>, class Allocator = allocator<Key> > class set { public: // types: typedef Key key_type; typedef Key value_type; typedef Compare key_compare; typedef Compare value_compare; typedef Allocator allocator_type; typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer; typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; // _lib.set.cons_ construct/copy/destroy: explicit set(const Compare& comp = Compare(), const Allocator& = Allocator()); template <class InputIterator> set(InputIterator first, InputIterator last, const Compare& comp = Compare(), const Allocator& = Allocator()); set(const set<Key,Compare,Allocator>& x); ~set(); set<Key,Compare,Allocator>& operator=(const set<Key,Compare,Allocator>& x); allocator_type get_allocator() const; // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // capacity: bool empty() const; size_type size() const; size_type max_size() const; // modifiers: pair<iterator,bool> insert(const value_type& x); iterator insert(iterator position, const value_type& x); template <class InputIterator> void insert(InputIterator first, InputIterator last); void erase(iterator position); size_type erase(const key_type& x); void erase(iterator first, iterator last); void swap(set<Key,Compare,Allocator>&); void clear(); // observers: key_compare key_comp() const; value_compare value_comp() const; // set operations: iterator find(const key_type& x) const; size_type count(const key_type& x) const; iterator lower_bound(const key_type& x) const; iterator upper_bound(const key_type& x) const; pair<iterator,iterator> equal_range(const key_type& x) const; }; template <class Key, class Compare, class Allocator> bool operator==(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator< (const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator!=(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator> (const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator>=(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator<=(const set<Key,Compare,Allocator>& x, const set<Key,Compare,Allocator>& y); // specialized algorithms: template <class Key, class Compare, class Allocator> void swap(set<Key,Compare,Allocator>& x, set<Key,Compare,Allocator>& y); } 23.3.3.1 set constructors, copy, and assignment [lib.set.cons] explicit set(const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty set using the specified comparison objects and allocator. Complexity: Constant. template <class InputIterator> set(InputIterator first, last, const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty set using the specified comparison object and allocator, and inserts elements from the range [first, last). Complexity: Linear in N if the range [first, last) is already sorted using comp and otherwise N log N, where N is last - first. 23.3.3.2 set specialized algorithms [lib.set.special] template <class Key, class Compare, class Allocator> void swap(set<Key,Compare,Allocator>& x, set<Key,Compare,Allocator>& y); Effects: x.swap(y); 23.3.4 Template class multiset [lib.multiset] 1 A multiset is a kind of associative container that supports equivalent keys (possibly contains multiple copies of the same key value) and provides for fast retrieval of the keys themselves. Multiset supports bidirectional iterators. 2 A multiset satisfies all of the requirements of a container and of a reversible container (_lib.container.requirements_), and of an asso- ciative container (_lib.associative.reqmts_). multiset also provides most operations described in (_lib.associative.reqmts_) for duplicate keys. This means that a multiset supports the a_eq operations in (_lib.associative.reqmts_) but not the a_uniq operations. For a mul- tiset<Key> both the key_type and value_type are Key. Descriptions are provided here only for operations on multiset that are not described in one of these tables and for operations where there is additional semantic information. namespace std { template <class Key, class Compare = less<Key>, class Allocator = allocator<Key> > class multiset { public: // types: typedef Key key_type; typedef Key value_type; typedef Compare key_compare; typedef Compare value_compare; typedef Allocator allocator_type; typedef typename Allocator::reference reference; typedef typename Allocator::const_reference const_reference; typedef implementation defined iterator; // See _lib.container.requirements_ typedef implementation defined const_iterator; // See _lib.container.requirements_ typedef typename Allocator::size_type size_type; typedef typename Allocator::difference_type difference_type; typedef typename Allocator::pointer pointer; typedef typename Allocator::const_pointer const_pointer; typedef std::reverse_iterator<iterator> reverse_iterator; typedef std::reverse_iterator<const_iterator> const_reverse_iterator; // construct/copy/destroy: explicit multiset(const Compare& comp = Compare(), const Allocator& = Allocator()); template <class InputIterator> multiset(InputIterator first, InputIterator last, const Compare& comp = Compare(), const Allocator& = Allocator()); multiset(const multiset<Key,Compare,Allocator>& x); ~multiset(); multiset<Key,Compare,Allocator>& operator=(const multiset<Key,Compare,Allocator>& x); allocator_type get_allocator() const; // iterators: iterator begin(); const_iterator begin() const; iterator end(); const_iterator end() const; reverse_iterator rbegin(); const_reverse_iterator rbegin() const; reverse_iterator rend(); const_reverse_iterator rend() const; // capacity: bool empty() const; size_type size() const; size_type max_size() const; // modifiers: iterator insert(const value_type& x); iterator insert(iterator position, const value_type& x); template <class InputIterator> void insert(InputIterator first, InputIterator last); void erase(iterator position); size_type erase(const key_type& x); void erase(iterator first, iterator last); void swap(multiset<Key,Compare,Allocator>&); void clear(); // observers: key_compare key_comp() const; value_compare value_comp() const; // set operations: iterator find(const key_type& x) const; size_type count(const key_type& x) const; iterator lower_bound(const key_type& x) const; iterator upper_bound(const key_type& x) const; pair<iterator,iterator> equal_range(const key_type& x) const; }; template <class Key, class Compare, class Allocator> bool operator==(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator< (const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator!=(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator> (const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator>=(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); template <class Key, class Compare, class Allocator> bool operator<=(const multiset<Key,Compare,Allocator>& x, const multiset<Key,Compare,Allocator>& y); // specialized algorithms: template <class Key, class Compare, class Allocator> void swap(multiset<Key,Compare,Allocator>& x, multiset<Key,Compare,Allocator>& y); } 23.3.4.1 multiset constructors [lib.multiset.cons] explicit multiset(const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty set using the specified comparison object and allocator. Complexity: Constant. template <class InputIterator> multiset(InputIterator first, last, const Compare& comp = Compare(), const Allocator& = Allocator()); Effects: Constructs an empty multiset using the specified comparison object and allocator, and inserts elements from the range [first, last). Complexity: Linear in N if the range [first, last) is already sorted using comp and otherwise N log N, where N is last - first. 23.3.4.2 multiset specialized algorithms [lib.multiset.special] template <class Key, class Compare, class Allocator> void swap(multiset<Key,Compare,Allocator>& x, multiset<Key,Compare,Allocator>& y); Effects: x.swap(y); 23.3.5 Template class bitset [lib.template.bitset] Header <bitset> synopsis #include <cstddef> // for size_t #include <string> #include <stdexcept> // for invalid_argument, out_of_range, overflow_error #include <iosfwd> // for istream, ostream namespace std { template <size_t N> class bitset; // _lib.bitset.operators_ bitset operations: template <size_t N> bitset<N> operator&(const bitset<N>&, const bitset<N>&); template <size_t N> bitset<N> operator|(const bitset<N>&, const bitset<N>&); template <size_t N> bitset<N> operator^(const bitset<N>&, const bitset<N>&); template <class charT, class traits, size_t N> basic_istream<charT, traits>& operator>>(basic_istream<charT, traits>& is, bitset<N>& x); template <class charT, class traits, size_t N> basic_ostream<charT, traits>& operator<<(basic_ostream<charT, traits>& os, const bitset<N>& x); } 1 The header <bitset> defines a template class and several related func- tions for representing and manipulating fixed-size sequences of bits. namespace std { template<size_t N> class bitset { public: // bit reference: class reference { friend class bitset; reference(); public: ~reference(); reference& operator=(bool x); // for b[i] = x; reference& operator=(const reference&); // for b[i] = b[j]; bool operator~() const; // flips the bit operator bool() const; // for x = b[i]; reference& flip(); // for b[i].flip(); }; // _lib.bitset.cons_ constructors: bitset(); bitset(unsigned long val); template<class charT, class traits, class Allocator> explicit bitset( const basic_string<charT,traits,Allocator>& str, typename basic_string<charT,traits,Allocator>::size_type pos = 0, typename basic_string<charT,traits,Allocator>::size_type n = basic_string<charT,traits,Allocator>::npos); // _lib.bitset.members_ bitset operations: bitset<N>& operator&=(const bitset<N>& rhs); bitset<N>& operator|=(const bitset<N>& rhs); bitset<N>& operator^=(const bitset<N>& rhs); bitset<N>& operator<<=(size_t pos); bitset<N>& operator>>=(size_t pos); bitset<N>& set(); bitset<N>& set(size_t pos, int val = true); bitset<N>& reset(); bitset<N>& reset(size_t pos); bitset<N> operator~() const; bitset<N>& flip(); bitset<N>& flip(size_t pos); // element access: reference operator[](size_t pos); // for b[i]; unsigned long to_ulong() const; template <class charT, class traits, class Allocator> basic_string<charT, traits, Allocator> to_string() const; size_t count() const; size_t size() const; bool operator==(const bitset<N>& rhs) const; bool operator!=(const bitset<N>& rhs) const; bool test(size_t pos) const; bool any() const; bool none() const; bitset<N> operator<<(size_t pos) const; bitset<N> operator>>(size_t pos) const; }; } 2 The template class bitset<N> describes an object that can store a sequence consisting of a fixed number of bits, N. 3 Each bit represents either the value zero (reset) or one (set). To toggle a bit is to change the value zero to one, or the value one to zero. Each bit has a non-negative position pos. When converting between an object of class bitset<N> and a value of some integral type, bit position pos corresponds to the bit value 1 << pos. The integral value corresponding to two or more bits is the sum of their bit values. 4 The functions described in this subclause can report three kinds of errors, each associated with a distinct exception: --an invalid-argument error is associated with exceptions of type invalid_argument (_lib.invalid.argument_); --an out-of-range error is associated with exceptions of type out_of_range (_lib.out.of.range_); --an overflow error is associated with exceptions of type over- flow_error (_lib.overflow.error_). 23.3.5.1 bitset constructors [lib.bitset.cons] bitset(); Effects: Constructs an object of class bitset<N>, initializing all bits to zero. bitset(unsigned long val); Effects: Constructs an object of class bitset<N>, initializing the first M bit positions to the corresponding bit values in val. M is the smaller of N and the value CHAR_BIT * sizeof (unsigned long).3) If M < N, remaining bit positions are initialized to zero. template <class charT, class traits, class Allocator> explicit bitset(const basic_string<charT, traits, Allocator>& str, basic_string<charT, traits, Allocator>::size_type pos = 0, basic_string<charT, traits, Allocator>::size_type n = basic_string<charT, traits, Allocator>::npos); Requires: pos <= str.size(). Throws: out_of_range if pos > str.size(). Effects: Determines the effective length rlen of the initializing string as the smaller of n and str.size() - pos. The function then throws invalid_argument if any of the rlen charac- ters in str beginning at position pos is other than 0 or 1. Otherwise, the function constructs an object of class bitset<N>, initializing the first M bit positions to values determined from the corresponding characters in the string str. M is the smaller of N and rlen. 1 An element of the constructed string has value zero if the correspond- ing character in str, beginning at position pos, is 0. Otherwise, the _________________________ 3) The macro CHAR_BIT is defined in <climits> (_lib.support.limits_). element has the value one. Character position pos + M - 1 corresponds to bit position zero. Subsequent decreasing character positions cor- respond to increasing bit positions. 2 If M < N, remaining bit positions are initialized to zero. 23.3.5.2 bitset members [lib.bitset.members] bitset<N>& operator&=(const bitset<N>& rhs); Effects: Clears each bit in *this for which the corresponding bit in rhs is clear, and leaves all other bits unchanged. Returns: *this. bitset<N>& operator|=(const bitset<N>& rhs); Effects: Sets each bit in *this for which the corresponding bit in rhs is set, and leaves all other bits unchanged. Returns: *this. bitset<N>& operator^=(const bitset<N>& rhs); Effects: Toggles each bit in *this for which the corresponding bit in rhs is set, and leaves all other bits unchanged. Returns: *this. bitset<N>& operator<<=(size_t pos); Effects: Replaces each bit at position I in *this with a value determined as follows: --If I < pos, the new value is zero; --If I >= pos, the new value is the previous value of the bit at posi- tion I - pos. Returns: *this. bitset<N>& operator>>=(size_t pos); Effects: Replaces each bit at position I in *this with a value determined as follows: --If pos >= N - I, the new value is zero; --If pos < N - I, the new value is the previous value of the bit at position I + pos. Returns: *this. bitset<N>& set(); Effects: Sets all bits in *this. Returns: *this. bitset<N>& set(size_t pos, int val = 1); Requires: pos is valid Throws: out_of_range if pos does not correspond to a valid bit position. Effects: Stores a new value in the bit at position pos in *this. If val is nonzero, the stored value is one, otherwise it is zero. Returns: *this. bitset<N>& reset(); Effects: Resets all bits in *this. Returns: *this. bitset<N>& reset(size_t pos); Requires: pos is valid Throws: out_of_range if pos does not correspond to a valid bit position. Effects: Resets the bit at position pos in *this. Returns: *this. bitset<N> operator~() const; Effects: Constructs an object x of class bitset<N> and initializes it with *this. Returns: x.flip(). bitset<N>& flip(); Effects: Toggles all bits in *this. Returns: *this. bitset<N>& flip(size_t pos); Requires: pos is valid Throws: out_of_range if pos does not correspond to a valid bit position. Effects: Toggles the bit at position pos in *this. Returns: *this. unsigned long to_ulong() const; Throws: overflow_error if the integral value x corresponding to the bits in *this cannot be represented as type unsigned long. Returns: x. template <class charT, class traits, class Allocator> basic_string<charT, traits, Allocator> to_string() const; Effects: Constructs a string object of the appropriate type and initializes it to a string of length N characters. Each character is determined by the value of its corresponding bit position in *this. Character position N - 1 corresponds to bit position zero. Subsequent decreasing character positions correspond to increasing bit posi- tions. Bit value zero becomes the character 0, bit value one becomes the character 1. Returns: The created object. size_t count() const; Returns: A count of the number of bits set in *this. size_t size() const; Returns: N. bool operator==(const bitset<N>& rhs) const; Returns: A nonzero value if the value of each bit in *this equals the value of the corresponding bit in rhs. bool operator!=(const bitset<N>& rhs) const; Returns: A nonzero value if !(*this == rhs). bool test(size_t pos) const; Requires: pos is valid Throws: out_of_range if pos does not correspond to a valid bit position. Returns: true if the bit at position pos in *this has the value one. bool any() const; Returns: true if any bit in *this is one. bool none() const; Returns: true if no bit in *this is one. bitset<N> operator<<(size_t pos) const; Returns: bitset<N>(*this) <<= pos. bitset<N> operator>>(size_t pos) const; Returns: bitset<N>(*this) >>= pos. 23.3.5.3 bitset operators [lib.bitset.operators] bitset<N> operator&(const bitset<N>& lhs, const bitset<N>& rhs); Returns: bitset<N>(lhs) &= rhs. bitset<N> operator|(const bitset<N>& lhs, const bitset<N>& rhs); Returns: bitset<N>(lhs) |= rhs. bitset<N> operator^(const bitset<N>& lhs, const bitset<N>& rhs); Returns: bitset<N>(lhs) ^= rhs. template <class charT, class traits, size_t N> basic_istream<charT, traits>& operator>>(basic_istream<charT, traits>& is, bitset<N>& x); 1 A formatted input function (_lib.istream.formatted_). Effects: Extracts up to N (single-byte) characters from is. Stores these characters in a temporary object str of type string, then evaluates the expression x = bitset<N>(str). Characters are extracted and stored until any of the following occurs: --N characters have been extracted and stored; --end-of-file occurs on the input sequence; --the next input character is neither 0 or 1 (in which case the input character is not extracted). 2 If no characters are stored in str, calls is.setstate(ios::failbit) (which may throw ios_base::failure (_lib.iostate.flags_). Returns: is. template <class charT, class traits, size_t N> basic_ostream<charT, traits>& operator<<(basic_ostream<charT, traits>& os, const bitset<N>& x); Returns: os << x.template to_string<charT,traits,allocator<charT> >() (_lib.ostream.formatted_).