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## Concept RandomAccessIterator

RandomAccessIterator

## Description

A random access iterator is an iterator that can read through a sequence of values. It can move in either direction through the sequence (by any amount in constant time), and can be either mutable (data pointed to by it can be changed) or not mutable.

An iterator represents a position in a sequence. Therefore, the iterator can point into the sequence (returning a value when dereferenced and being incrementable), or be off-the-end (and not dereferenceable or incrementable).

## Refinement of

- BidirectionalIterator

- LessThanComparable

## Associated types

- value_type

      std::iterator_traits<Iter>::value_type

  The value type of the iterator

- category

      std::iterator_traits<Iter>::iterator_category

  The category of the iterator

- difference_type

      std::iterator_traits<Iter>::difference_type

  The difference type of the iterator (measure of the number of steps between two iterators)

## Notation

Iter
  A type playing the role of iterator-type in the RandomAccessIterator concept.
`i`, `j`,
  Objects of type Iter
`x`
  Object of type value_type
`n`
  Object of type difference_type
`int_off`
  Object of type int

## Type expressions

Category tag

  category must be derived from std::random_access_iterator_tag.

## Valid expressions

Name | Expression | Type | Semantics
--- | --- | --- | ---
Motion | i += n | Iter & | Equivalent to applying `i++``n` times if `n` is positive, applying `i--``-n` times if `n` is negative, and to a null operation if `n` is zero.
Motion (with integer offset) | i += int_off | Iter & | Equivalent to applying `i++``n` times if `n` is positive, applying `i--``-n` times if `n` is negative, and to a null operation if `n` is zero.
Subtractive motion | i -= n | Iter & | Equivalent to `i+=(-n)`
Subtractive motion (with integer offset) | i -= int_off | Iter & | Equivalent to `i+=(-n)`
Addition | i + n | Iter | Equivalent to `{Iter j = i; j += n; return j;}`
Addition with integer | i + int_off | Iter | Equivalent to `{Iter j = i; j += n; return j;}`
Addition (count first) | n + i | Iter | Equivalent to `i + n`
Addition with integer (count first) | int_off + i | Iter | Equivalent to `i + n`
Subtraction | i - n | Iter | Equivalent to `i + (-n)`
Subtraction with integer | i - int_off | Iter | Equivalent to `i + (-n)`
Distance | i - j | difference_type | The number of times `i` must be incremented (or decremented if the result is negative) to reach `j`. Not defined if `j` is not reachable from `i`.
Element access | i[n] | const-if-not-mutable value_type & | Equivalent to `*(i + n)`
Element access with integer index | i[int_off] | const-if-not-mutable value_type & | Equivalent to `*(i + n)`

## Complexity

All iterator operations must take amortized constant time.

## Models

- T *
- std::vector<T>::iterator
- std::vector<T>::const_iterator
- std::deque<T>::iterator
- std::deque<T>::const_iterator

## See also

- LessThanComparable

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