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Difference between revisions of "cpp/named req/RandomAccessIterator"

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|{{c|i[n]}}||convertible to {{tt|reference}}||{{c|*(i + n)}}||
 
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|{{c|a < b}}||contextually convertible to {{c|bool}}||{{c|b - a > 0}}
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|{{c|a < b}}||contextually convertible to {{c|bool}}||Equivalent to {{c|return b - a > 0;}}
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|Strict total ordering relation:
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|Precondition:
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Strict total ordering relation:
 
* {{ttb|!(a < a)}}
 
* {{ttb|!(a < a)}}
 
* if {{ttb|a < b}} then {{ttb|!(b < a)}}
 
* if {{ttb|a < b}} then {{ttb|!(b < a)}}

Revision as of 18:56, 5 December 2020

 
C++
 
C++ named requirements
 

A LegacyRandomAccessIterator is a LegacyBidirectionalIterator that can be moved to point to any element in constant time.

A pointer to an element of an array satisfies all requirements of LegacyRandomAccessIterator

Requirements

The type It satisfies LegacyRandomAccessIterator if

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 It or const It
  • r, a value 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;
else while (m++) --r;
return r;

  • n can be both positive or negative
  • The complexity is constant (that is, the implementation cannot actually execute the while loop shown in operational semantics)
a + n

n + a

It It temp = a;

return temp += n;

  • n can be both positive or negative
  • a + n == n + a
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;

Precondition:

  • there exists a value n of type difference_type such that a+n==b

Postcondition:

  • b == a + (b - a).
i[n] convertible to reference *(i + n)
a < b contextually convertible to bool Equivalent to return b - a > 0; Precondition:
  • same as b - a

Strict total ordering relation:

  • !(a < a)
  • if a < b then !(b < a)
  • if a < b and b < c then a < c
  • a < b or b < a or a == b
    (exactly one of the expressions is true)
a > b contextually convertible to bool b < a Total ordering relation opposite to a < b
a >= b contextually convertible to bool !(a < b)
a <= b contextually convertible to bool !(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.

template<class I>

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#Concept.

(since C++20)

See also

(C++20)
 specifies that a bidirectional_iterator is a random-access iterator, supporting advancement in constant time and subscripting
(concept) [edit]
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