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## Concept BidirectionalIterator

BidirectionalIterator

## Description

A bidirectional iterator is an iterator that can read through a sequence of values. It can move in either direction through the sequence, 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

- ForwardIterator

## 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

## Notation

Iter
  A type playing the role of iterator-type in the BidirectionalIterator concept.
`i`, `j`
  Objects of type Iter
`x`
  Object of type value_type

## Type expressions

Category tag

  category must be derived from std::bidirectional_iterator_tag.

## Valid expressions

Name | Expression | Type | Precondition | Semantics | Postcondition
--- | --- | --- | --- | --- | ---
Predecrement | --i | Iter & | `i` is incrementable (not off-the-end) and some dereferenceable iterator `j` exists such that `i == ++j` |  |
Postdecrement | i-- | Iter | Same as for predecrement | Equivalent to `{Iter j = i; --i; return j;}` | `i` is dereferenceable or off-the-end

## Complexity

All iterator operations must take amortized constant time.

## Invariants

Predecrement must return object

  `&i = &(--i)`

Unique path through sequence

  `i == j` implies `--i == --j`

Increment and decrement are inverses

  `++i; --i;` and `--i; ++i;` must end up with the value of `i` unmodified, if `i` both of the operations in the pair are valid.

## Models

- T *
- std::list<T>::iterator

## See also

- RandomAccessIterator

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