C++ named requirements: SequenceContainer

A SequenceContainer is a Container that stores objects of the same type in a linear arrangement.

Requirements

The type X satisfies SequenceContainer if

The type X satisfies Container, and

Given

T, the element type of X
A, the allocator type of X: X::allocator_type if it exists, otherwise std::allocator<T>
a, rvalue expression of type X
p, a valid const iterator into a
q, a valid dereferenceable const iterator into a
q1 and q2, two const iterators into a such that [q1, q2) is a valid range
i and j, InputIterators such that [i, j) is a valid range and that the iterators refer to elements implicitly convertible to value_type
il, an object of type std::initializer_list<value_type>
n, a value of type X::size_type
t, an lvalue or const rvalue of type X::value_type
rv, a non-const rvalue of type X::value_type
Args: a template parameter pack
args: a function parameter pack with the pattern Arg&&

The following expressions must be valid and have their specified effects for all sequence containers except std::array:

expression	return type	effects	precondition	postcondition
X(n, t) X a(n, t)		Constructs the sequence container holding `n` copies of `t`	`T` is CopyInsertable into `X`	std::distance(begin(),end()) == n
X(i, j) X a(i, j)		Constructs the sequence container equal, element-wise, to the range `[i,j)`	`T` is EmplaceConstructible from `*i` into `X` (only for std::vector) If the iterators are not ForwardIterators, T must be CopyInsertable	std::distance(begin(),end()) == std::distance(i,j)
X(il)		X(il.begin(), il.end())
a = il	X&	Assigns the range represented by `il` into `a`^[1]	T is CopyInsertable and CopyAssignable	Existing elements of `a` are destroyed or assigned to
a.emplace(p,args)	`iterator`	Insert an object of type `T`, constructed with std::forward<Args>(args) before `p`	`T` is CopyInsertable (for std::vector and std::deque) `T` is MoveAssignable and MoveInsertable	Returned iterator points at the element constructed from `args` into `a`
a.insert(p,t)	`iterator`	Inserts a copy of `t` before `p`	`T` is CopyInsertable (for std::vector and std::deque) `T` is CopyAssignable or MoveAssignable	Returned iterator points at the copy of `t` inserted into `a`
a.insert(p,rv)	`iterator`	Inserts a copy of `rv` before `p`, possibly using move semantics	`T` is MoveInsertable (for std::vector and std::deque) `T` is MoveAssignable	Returned iterator points at the copy of `rv` inserted into `a`
a.insert(p,n,t)	`iterator`	Inserts `n` copies of `t` before `p`	`T` is CopyInsertable and CopyAssignable	Returned iterator points at the copy of the first element inserted into `a` or is `p` for n==0
a.insert(p,i,j)	`iterator`	Inserts copies of elements in `[i, j)` before `p`	`T` is EmplaceConstructible and `i` and `j` are not in `a` (only for std::vector) If the iterators are not ForwardIterators, T must be MoveInsertable and MoveAssignable	Each iterator in `[i,j)` is dereferenced once. Returned iterator points at the copy of the first element inserted into `a` or is `p` for i==j
a.insert(p, il)	`iterator`	a.insert(p,il.begin(),il.end())		Returned iterator points at the copy of the first element inserted into `a` or is `p` if `il` is empty.
a.erase(q)	`iterator`	Erases the element pointed to by `q`	(std::deque, std::vector) `T` is MoveAssignable	Returned iterator points at the element that was immediately following `q` prior to erasure, or a.end() if no such element exists.
a.erase(q1,q2)	`iterator`	Erases elements in `[q1,q2)`	(std::deque, std::vector) `T` is MoveAssignable	Returned iterator points at the element that was pointed by `q2` prior to any erasure, or a.end() if no such element exists.
a.clear()	`void`	Destroys all elements in `a`		All references, pointers, and iterators are invalidated, including the end iterator. a.empty() == true.
a.assign(i,j)	`void`	Replaces elements in a with a copy of `[i, j)`	`T` is EmplaceConstructible and `i`, `j` not in `a` (std::vector) If not ForwardIterator. `T` is MoveInsertable	Each iterator in `[i,j)` is dereferenced once
a.assign(il)	`void`	a.assign(il.begin(),il.end())
a.assign(n,t)	`void`	Replaces elements in `a` with `n` copies of `t`	`T` is CopyInsertable and CopyAssignable
notes
std::array supports assignment from a braced-init-list, but not from an std::initializer_list

The following expressions must be valid and have their specified effects for the sequence containers named:

expression	return type	effects	preconditions	containers
a.front()	`reference` `const_reference` for const a	Equivalent to *a.begin()		(all)
a.back()	`reference` `const_reference` for const a	Equivalent to { auto tmp = a.end(); --tmp; return *tmp; }		std::basic_string std::array std::deque std::list std::vector
a.emplace_front(args)	`void`	Prepends a `T` constructed with std::forward<Args>(args)...	`T` is EmplaceConstructible into `X` from `args`	std::deque std::forward_list std::list
a.emplace_back(args)	`void`	Appends a `T` constructed with std::forward<Args>(args)...	`T` is EmplaceConstructible into `X` from `args` (std::vector only) `T` is MoveInsertable into `X`	std::deque std::list std::vector
a.push_front(t)	`void`	Prepends a copy of `t`	`T` is CopyInsertable into `X`	std::deque std::forward_list std::list
a.push_front(rv)	`void`	Prepends a copy of `rv`, possibly using move semantics	`T` is MoveInsertable into `X`	std::deque std::forward_list std::list
a.push_back(t)	`void`	Appends a copy of `t`	`T` is CopyInsertable into `X`	std::basic_string std::deque std::list std::vector
a.push_back(rv)	`void`	Appends a copy of `rv`, possibly using move semantics	`T` is MoveInsertable into `X`	std::basic_string std::deque std::list std::vector
a.pop_front()	`void`	Destroys the first element.	a.empty() == false	std::deque std::forward_list std::list
a.pop_back()	`void`	Destroys the last element	a.empty() == false	std::basic_string std::deque std::list std::vector
a[n]	`reference` `const_reference` for const a	Equivalent to *(n + a.begin())		std::basic_string std::array std::deque std::vector
a.at(n)	`reference` `const_reference` for const a	Equivalent to *(n + a.begin()), except that out_of_range is thrown if n>=size()		std::basic_string std::array std::deque std::vector

Additionally, for every sequence container, the constructor template that takes two input iterators and the member function template overloads of insert(), append(), assign(), replace() that take two input iterators do not participate in overload resolution if the corresponding template argument does not satisfy InputIterator.

Sequence containers in the standard library

basic_string	stores and manipulates sequences of characters (class template)
array (C++11)	static contiguous array (class template)
vector	dynamic contiguous array (class template)
deque	double-ended queue (class template)
forward_list (C++11)	singly-linked list (class template)
list	doubly-linked list (class template)

Trade-offs / usage notes

std::array	Fast access but fixed number of elements
std::vector	Fast access but mostly inefficient insertions/deletions
std::list std::forward_list	Efficient insertion/deletion in the middle of the sequence
std::deque	Efficient insertion/deletion at the beginning and at the end of the sequence

[1] std::array supports assignment from a braced-init-list, but not from an std::initializer_list

[1]

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