C++ named requirements: LegacyRandomAccessIterator
    A LegacyRandomAccessIterator is a LegacyBidirectionalIterator that can be moved to point to any element in constant time.
If a LegacyRandomAccessIterator it originates from a Container, then it's value_type is the same as the container's, so dereferencing (*it) obtains the container's value_type.
A pointer to an element of an array satisfies all requirements of LegacyRandomAccessIterator.
[edit] Requirements
The type It satisfies LegacyRandomAccessIterator if
-  The type Itsatisfies LegacyBidirectionalIterator
And, given
-  value_type, the type denoted by std::iterator_traits <It>::value_type
-  difference_type, the type denoted by std::iterator_traits <It>::difference_type
-  reference, the type denoted by std::iterator_traits <It>::reference
-  i, a, b, objects of type Itor const It
-  r, an lvalue of type It
-  n, an integer of type difference_type
The following expressions must be valid and have their specified effects:
| Expression | Return type | Operational semantics | Notes | 
|---|---|---|---|
| r += n | It& | difference_type m = n; if (m >= 0) while (m--) ++r; | 
 | 
| a + n n + a | It | It temp = a; return temp += n; | 
 | 
| r -= n | It& | return r += -n; | The absolute value of n must be within the range of representable values of difference_type. | 
| i - n | It | It temp = i; return temp -= n; | |
| b - a | difference_type | return n; (see the precondition) | Precondition: 
 Postcondition: 
 | 
| i[n] | convertible to reference | *(i + n) | |
| a < b | meets BooleanTestable(until C++20) models  | Equivalent to return b - a > 0; | Precondition: 
 Strict total ordering relation: 
 | 
| a > b | meets BooleanTestable(until C++20) models  | b < a | Total ordering relation opposite to a < b | 
| a >= b | meets BooleanTestable(until C++20) models  | !(a < b) | |
| a <= b | meets BooleanTestable(until C++20) models  | !(a > b) | 
The above rules imply that LegacyRandomAccessIterator also implements LessThanComparable.
A mutable LegacyRandomAccessIterator is a LegacyRandomAccessIterator that additionally satisfies the LegacyOutputIterator requirements.
Concept
For the definition of std::iterator_traits , the following exposition-only concept is defined.
concept __LegacyRandomAccessIterator =
    __LegacyBidirectionalIterator<I> && std::totally_ordered <I> &&
        requires(I i, typename std::incrementable_traits <I>::difference_type n)
        {
            { i += n } -> std::same_as <I&>;
            { i -= n } -> std::same_as <I&>;
            { i +  n } -> std::same_as <I>;
            { n +  i } -> std::same_as <I>;
            { i -  n } -> std::same_as <I>;
            { i -  i } -> std::same_as <decltype(n)>;
            {  i[n]  } -> std::convertible_to <std::iter_reference_t <I>>;
where the exposition-only concept __LegacyBidirectionalIterator is described in LegacyBidirectionalIterator.
[edit] Defect reports
The following behavior-changing defect reports were applied retroactively to previously published C++ standards.
| DR | Applied to | Behavior as published | Correct behavior | 
|---|---|---|---|
| LWG 299 (N3066) | C++98 | the return type of a[n] was required to be convertible to const value_type& | the return type is required to be convertible to reference | 
| LWG 448 | C++98 | the return type of a[n] was required to be convertible to value_type | the return type is required to be convertible to const value_type&[1] | 
| LWG 1079 | C++98 | b - a was defined using a < b, resulted in circular definition | removed a < b from the definition | 
| LWG 2114 (P2167R3) | C++98 | convertibility to bool was too weak to reflect the expectation of implementations | requirements strengthened | 
- ↑ LWG issue 299 was reopened after this resolution.
[edit] See also
bidirectional_iterator is a random-access iterator, supporting advancement in constant time and subscripting (concept) [edit]