Tables

Table 65 --- Container Requirements

Anything calling itself a container must meet these minimum requirements.
expression	result type	notes, pre-/post-conditions, assertions	complexity
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 output iterator. Convertible to X::const_iterator.	compile time
X::const_iterator	iterator type pointing to const T	Any iterator category except output iterator.	compile time
X::difference_type	signed integral type	identical to the difference type of X::iterator and X::const_iterator	compile time
X::size_type	unsigned integral type	size_type can represent any non-negative value of difference_type	compile time
X u;		post: u.size() == 0	constant
X();		X().size == 0	constant
X(a);		a == X(a)	linear
X u(a); X u = a;		post: u == a. Equivalent to: X u; u = a;	linear
(&a)->~X();	void	dtor is applied to every element of a; all the memory is deallocated	linear
a.begin()	iterator; const_iterator for constant a		constant
a.end()	iterator; const_iterator for constant a		constant
a == b	convertible to bool	== is an equivalence relation. a.size()==b.size() && equal(a.begin(),a.end(),b.begin())	linear
a != b	convertible to bool	equivalent to !(a==b)	linear
a.swap(b)	void	swap(a,b)	may or may not have constant complexity
r = a	X&	r == a	linear
a.size()	size_type		may or may not have constant complexity
a.max_size()	size_type		may or may not have constant complexity
a.empty()	convertible to bool		constant
a < b	convertible to bool	pre: < is defined for T and is a total ordering relation	linear
a > b	convertible to bool		linear
a <= b	convertible to bool		linear
a >= b	convertible to bool		linear

Table 66 --- Reversible Container Requirements

If a container's iterator is bidirectional or random-access, then the container also meets these requirements. Deque, list, vector, map, multimap, set, and multiset are such containers.
expression	result type	notes, pre-/post-conditions, assertions	complexity
X::reverse_iterator	iterator type pointing to T	reverse_iterator<iterator>	compile time
X::const_reverse_iterator	iterator type pointing to const T	reverse_iterator<const_iterator>	compile time
a.rbegin()	reverse_iterator; const_reverse_iterator for constant a	reverse_iterator(end())	constant
a.rend()	reverse_iterator; const_reverse_iterator for constant a	reverse_iterator(begin())	constant

Table 67 --- Sequence Requirements

These are in addition to the requirements of containers. Deque, list, and vector are such containers.
expression	result type	notes, pre-/post-conditions, assertions
X(n,t) X a(n,t)		constructs a sequence with n copies of t post: size() == n
X(i,j) X a(i,j)		constructs a sequence equal to the range [i,j) post: size() == distance(i,j)
a.insert(p,t)	iterator (points to the inserted copy of t)	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	inserts copies of elements in [i,j) before p pre: i, j are not iterators into a
a.erase(q)	iterator (points to the element following q (prior to erasure))	erases the element pointed to by q
a.erase(q1,q1)	iterator (points to the element pointed to by q2 (prior to erasure))	erases the elements in the range [q1,q2)
a.clear()	void	erase(begin(),end()) post: size() == 0

Table 68 --- Optional Sequence Operations

These operations are only included in containers when the operation can be done in constant time.
expression	result type	operational semantics	container
a.front()	reference; const_reference for constant a	*a.begin()	vector, list, deque
a.back()	reference; const_reference for constant a	*--a.end()	vector, list, deque
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; const_reference for constant a	*(a.begin() + n)	vector, deque
a.at(n)	reference; const_reference for constant a	*(a.begin() + n) throws out_of_range if n>=a.size()	vector, deque

Table 69 --- Associative Container Requirements

These are in addition to the requirements of containers. Map, multimap, set, and multiset are such containers. An associative container supports unique keys (and is written as a_uniq instead of a) if it may contain at most one element for each key. Otherwise it supports equivalent keys (and is written a_eq). Examples of the former are set and map, examples of the latter are multiset and multimap.
expression	result type	notes, pre-/post-conditions, assertions	complexity
X::key_type	Key	Key is Assignable	compile time
X::key_compare	Compare	defaults to less<key_type>	compile time
X::value_compare	a binary predicate type	same as key_compare for set and multiset; an ordering relation on pairs induced by the first component (Key) for map and multimap	compile time
X(c) X a(c)		constructs an empty container which uses c as a comparison object	constant
X() X a		constructs an empty container using Compare() as a comparison object	constant
X(i,j,c) X a(i,j,c)		constructs an empty container and inserts elements from the range [i,j) into it; uses c as a comparison object	NlogN in general where N is distance(i,j); linear if [i,j) is sorted with value_comp()
X(i,j) X a(i,j)		same as previous, but uses Compare() as a comparison object	same as previous
a.key_comp()	X::key_compare	returns the comparison object out of which a was constructed	constant
a.value_comp()	X::value_compare	returns an object constructed out of the comparison object	constant
a_uniq.insert(t)	pair<iterator,bool>	"Inserts t if and only if there is no element in the container with key equivalent to the key of t. The bool component of the returned pair is true -iff- the insertion took place, and the iterator component of the pair points to the element with key equivalent to the key of t."	logarithmic
a_eq.insert(t)	iterator	inserts t, returns the iterator pointing to the inserted element	logarithmic
a.insert(p,t)	iterator	possibly inserts t (depending on whether a_uniq or a_eq); returns iterator pointing to the element with key equivalent to the key of t; iterator p is a hint pointing to where the insert should start to search	logarithmic in general, amortized constant if t is inserted right after p [but see DR 233 and our specific notes]
a.insert(i,j)	void	pre: i, j are not iterators into a. possibly inserts each element from the range [i,j) (depending on whether a_uniq or a_eq)	Nlog(size()+N) where N is distance(i,j) in general
a.erase(k)	size_type	erases all elements with key equivalent to k; returns number of erased elements	log(size()) + count(k)
a.erase(q)	void	erases the element pointed to by q	amortized constant
a.erase(q1,q2)	void	erases all the elements in the range [q1,q2)	log(size()) + distance(q1,q2)
a.clear()	void	erases everthing; post: size() == 0	linear
a.find(k)	iterator; const_iterator for constant a	returns iterator pointing to element with key equivalent to k, or a.end() if no such element found	logarithmic
a.count(k)	size_type	returns number of elements with key equivalent to k	log(size()) + count(k)
a.lower_bound(k)	iterator; const_iterator for constant a	returns iterator pointing to the first element with key not less than k	logarithmic
a.upper_bound(k)	iterator; const_iterator for constant a	returns iterator pointing to the first element with key greater than k	logarithmic
a.equal_range(k)	pair<iterator,iterator>; pair<const_iterator, const_iterator> for constant a	equivalent to make_pair(a.lower_bound(k), a.upper_bound(k))	logarithmic