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C++ named requirements: UnorderedAssociativeContainer (since C++11)

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C++ named requirements
 

Unordered associative containers are Containers that provide fast lookup of objects based on keys. Worst case complexity is linear but on average much faster for most of the operations.

Unordered associative containers are parametrized by Key; Hash, a Hash function object which acts as hash function on Key; and Pred, a BinaryPredicate evaluating equivalence between Keys. std::unordered_map and std::unordered_multimap also have a mapped type T associated with the Key.

If two Keys are equal according to Pred, Hash must return the same value for both keys.

If both Hash::is_transparent and Pred::is_transparent exist and each names a type, member functions find, contains, count, equal_range, and bucket accept arguments of types other than Key and expect that Hash is callable with values of those types, and that Pred is a transparent comparison function such as std::equal_to<>.

(since C++20)

std::unordered_map and std::unordered_set can contain at most one element with a given key, std::unordered_multiset and std::unordered_multimap instead can have multiple elements with the same key (which must always be adjacent on iterations).

For std::unordered_set and std::unordered_multiset the value type is the same as the key type and both iterator and const_iterator are constant iterators. For std::unordered_map and std::unordered_multimap the value type is std::pair<const Key, T>.

Elements in an unordered associative container are organized into buckets, keys with the same hash will end up in the same bucket. The number of buckets is increased when the size of the container increases to keep the average number of elements in each bucket under a certain value.

Rehashing invalidates iterator and might cause the elements to be re-arranged in different buckets but it does not invalidate references to the elements.

Unordered associative containers meet the requirements of AllocatorAwareContainer. For std::unordered_map and std::unordered_multimap the requirements of value_type in AllocatorAwareContainer apply to key_type and mapped_type (not to value_type).

Contents

[edit] Requirements

Legend
XAn unordered associative container class
aA value of type X
a2A value of a type with nodes compatible with type X
bA value of type X or const X
a_uniqA value of type X when X supports unique keys
a_eqA value of type X when X supports equivalent keys
a_tranA value of type X or const X when the qualified identifiers X::key_equal::is_transparent and X::hasher::is_transparent are both valid and denote types
i, jInput iterators that refer to value_type
[ij)A valid range
rg (since C++23)A value of a type R that models container-compatible-range<value_type>
p, q2Valid constant iterators to a
q, q1Valid dereferenceable constant iterators to a
rA valid dereferenceable iterator to a
[q1q2)A valid range in a
ilA value of type std::initializer_list<value_type>
tA value of type X::value_type
kA value of type key_type
hfA value of type hasher or const hasher
eqA value of type key_equal or const key_equal
keA value such that
  • eq(r1, ke) == eq(ke, r1),
  • hf(r1) == hf(ke) if eq(r1, ke) is true, and
  • if any two of eq(r1, ke), eq(r2, ke), and eq(r1, r2) are true, then all three are true,

where r1 and r2 are keys of elements in a_tran

kx (since C++23)A value such that
  • eq(r1, kx) == eq(kx, r1),
  • hf(r1) == hf(kx) if eq(r1, kx) is true,
  • if any two of eq(r1, kx), eq(r2, kx), and eq(r1, r2) are true, then all three are true, and
  • kx is not convertible to either iterator or const_iterator,

where r1 and r2 are keys of elements in a_tran

nA value of type size_type
zA value of type float
nh (since C++17)An rvalue of type X::node_type

[edit] Member types

NameTypeRequirementsNotes
X::key_typeKey
X::mapped_typeTstd::unordered_map and std::unordered_multimap only
X::value_typeKeystd::unordered_set and std::unordered_multiset only. Erasable in X
std::pair<const Key, T>std::unordered_map and std::unordered_multimap only. Erasable in X
X::hasherHashHash
X::key_equalPredCopyConstructible; BinaryPredicate that takes two arguments of type Key and expresses an equivalence relation
X::local_iteratorLegacyIteratorCategory and types are the same as X::iteratorCan be used to iterate through a single bucket, but not across buckets
X::const_local_iteratorLegacyIteratorCategory and types are the same as X::const_iterator
X::node_type (since C++17)A specialization of node-handle class templateThe public nested types are the same as the corresponding types in X

[edit] Member functions and operators

ExpressionResultPreconditionsEffectsReturnsComplexity
X(n, hf, eq)Constructs an empty container with at least n buckets, using hf as the hash function and eq as the key equality predicateO(n)
X(n, hf)key_equal is DefaultConstructibleConstructs an empty container with at least n buckets, using hf as the hash function and key_equal() as the key equality predicateO(n)
X(n)hasher and key_equal are DefaultConstructibleConstructs an empty container with at least n buckets, using hasher() as the hash function and key_equal() as the key equality predicateO(n)
X a = X();
X a;
hasher and key_equal are DefaultConstructibleConstructs an empty container with an unspecified number of buckets, using hasher() as the hash function and key_equal() as the key equality predicateConstant
X(i, j, n, hf, eq)value_type is EmplaceConstructible into X from *iConstructs an empty container with at least n buckets, using hf as the hash function and eq as the key equality predicate, and inserts elements from [ij) into itAverage case O(N) (N is std::distance(i, j)), worst case O(N2)
X(i, j, n, hf)key_equal is the DefaultConstructible. value_type is EmplaceConstructible into X from *iConstructs an empty container with at least n buckets, using hf as the hash function and key_equal() as the key equality predicate, and inserts elements from [ij) into itAverage case O(N) (N is std::distance(i, j)), worst case O(N2)
X(i, j, n)hasher and key_equal are DefaultConstructible. value_type is EmplaceConstructible into X from *iConstructs an empty container with at least n buckets, using hasher() as the hash function and key_equal() as the key equality predicate, and inserts elements from [ij) into itAverage case O(N) (N is std::distance(i, j)), worst case O(N2)
X(i, j)hasher and key_equal are DefaultConstructible. value_type is EmplaceConstructible into X from *iConstructs an empty container with an unspecified number of buckets, using hasher() as the hash function and key_equal() as the key equality predicate, and inserts elements from [ij) into itAverage case O(N) (N is std::distance(i, j)), worst case O(N2)
X(std::from_range,
  rg, n, hf, eq)

(since C++23)
value_type is EmplaceConstructible into X from *ranges::begin(rg)Constructs an empty container with at least n buckets, using hf as the hash function and eq as the key equality predicate, and inserts elements from rg into itAverage case O(N) (N is ranges::distance(rg)), worst case O(N2)
X(std::from_range,
  rg, n, hf)

(since C++23)
key_equal is DefaultConstructible. value_type is EmplaceConstructible into X from *ranges::begin(rg)Constructs an empty container with at least n buckets, using hf as the hash function and key_equal() as the key equality predicate, and inserts elements from rg into itAverage case O(N) (N is ranges::distance(rg)), worst case O(N2)
X(std::from_range,
  rg, n)

(since C++23)
hasher and key_equal are DefaultConstructible. value_type is EmplaceConstructible into X from *ranges::begin(rg)Constructs an empty container with at least n buckets, using hasher() as the hash function and key_equal() as the key equality predicate, and inserts elements from rg into itAverage case O(N) (N is ranges::distance(rg)), worst case O(N2)
X(std::from_range,
  rg)

(since C++23)
hasher and key_equal are DefaultConstructible. value_type is EmplaceConstructible into X from *ranges::begin(rg)Constructs an empty container with an unspecified number of buckets, using hasher() as the hash function and key_equal() as the key equality predicate, and inserts elements from rg into itAverage case O(N) (N is ranges::distance(rg)), worst case O(N2)
X(il)X(il.begin(), il.end())
X(il, n)X(il.begin(), il.end(), n)
X(il, n, hf)X(il.begin(), il.end(), n, hf)
X(il, n, hf, eq)X(il.begin(), il.end(), n, hf, eq)
X(b)Container; Copies the hash function, predicate, and maximum load factorAverage case linear in b.size(), worst case O(N2)
a = bX&Container; copies the hash function, predicate, and maximum load factorAverage case linear in b.size(), worst case O(N2)
a = ilX&value_type is CopyInsertable into X and CopyAssignableAssigns the range [il.begin()il.end()) into a. All existing elements of a are either assigned to or destroyedAverage case linear in il.size(), worst case O(N2)
b.hash_function()hasherb's hash functionConstant
b.key_eq()key_equalb's key equality predicateConstant
a_uniq.emplace(args)std::pair<
  iterator,
  bool>
value_type is EmplaceConstructible into X from argsInserts a value_type object t constructed with std::forward<Args>(args)... if and only if there is no element in the container with key equivalent to the key of tThe bool component of the returned pair is true if and only if the insertion takes place, and the iterator component of the pair points to the element with key equivalent to the key of tAverage case O(1), worst case O(a_uniq.size())
a_eq.emplace(args)iteratorvalue_type is EmplaceConstructible into X from argsInserts a value_type object t constructed with std::forward<Args>(args)...An iterator pointing to the newly inserted elementAverage case O(1), worst case O(a_eq.size())
a.emplace_hint(p, args)iteratorvalue_type is EmplaceConstructible into X from argsa.emplace(
  std::forward<Args>(args)...)
An iterator pointing to the element with the key equivalent to the newly inserted element. The const_iterator p is a hint pointing to where the search should start. Implementations are permitted to ignore the hintAverage case O(1), worst case O(a.size())
a_uniq.insert(t)std::pair<
  iterator,
  bool>
If t is a non-const rvalue, value_type is MoveInsertable into X; otherwise, value_type is CopyInsertable into XInserts t if and only if there is no element in the container with key equivalent to the key of tThe bool component of the returned pair indicates whether the insertion takes place, and the iterator component points to the element with key equivalent to the key of tAverage case O(1), worst case O(a_uniq.size())
a_eq.insert(t)iteratorIf t is a non-const rvalue, value_type is MoveInsertable into X; otherwise, value_type is CopyInsertable into XInserts tAn iterator pointing to the newly inserted elementAverage case O(1), worst case O(a_eq.size())
a.insert(p, t)iteratorIf t is a non-const rvalue, value_type is MoveInsertable into X; otherwise, value_type is CopyInsertable into Xa.insert(t). The iterator p is a hint pointing to where the search should start. Implementations are permitted to ignore the hintAn iterator pointing to the element with the key equivalent to that of tAverage case O(1), worst case O(a.size())
a.insert(i, j)voidvalue_type is EmplaceConstructible into X from *i. Neither i nor j are iterators into aa.insert(t) for each element in
[ij)
Average case O(N), where N is std::distance(i, j), worst case O((a.size() + 1))
a.insert_range(rg)
(since C++23)
voidvalue_type is EmplaceConstructible into X from *ranges::begin(rg). rg and a do not overlapa.insert(t) for each element t in rgAverage case O(N), where N is ranges::distance(rg), worst case O((a.size() + 1))
a.insert(il)a.insert(il.begin(), il.end())
a_uniq.insert(nh)
(since C++17)
insert_return_typenh is empty or

a_uniq.get_allocator()
==
nh.get_allocator()
is true

If nh is empty, has no effect. Otherwise, inserts the element owned by nh if and only if there is no element in the container with a key equivalent to nh.key(). Ensures: If nh is empty, inserted is false, position is end(), and node is empty. Otherwise if the insertion took place, inserted is true, position points to the inserted element, and node is empty; if the insertion failed, inserted is false, node has the previous value of nh, and position points to an element with a key equivalent to nh.key()Average case O(1), worst case O(a_uniq.size())
a_eq.insert(nh)
(since C++17)
iteratornh is empty or

a_eq.get_allocator()
==
nh.get_allocator()
is true

If nh is empty, has no effect and returns a_eq.end(). Otherwise, inserts the element owned by nh and returns an iterator pointing to the newly inserted element. Ensures: nh is emptyAverage case O(1), worst case O(a_eq.size())
a.insert(q, nh)
(since C++17)
iteratornh is empty or

a.get_allocator()
==
nh.get_allocator()
is true

If nh is empty, has no effect and returns a.end(). Otherwise, inserts the element owned by nh if and only if there is no element with key equivalent to nh.key() in containers with unique keys; always inserts the element owned by nh in containers with equivalent keys. The iterator q is a hint pointing to where the search should start. Implementations are permitted to ignore the hint. Ensures: nh is empty if insertion succeeds, unchanged if insertion failsAn iterator pointing to the element with key equivalent to nh.key()Average case O(1), worst case O(a.size())
a.extract(k)
(since C++17)
node_typeRemoves an element in the container with key equivalent to kA node_type owning the element if found, otherwise an empty node_typeAverage case O(1), worst case O(a.size())
a_tran.extract(kx)
(since C++23)
node_typeRemoves an element in the container with key equivalent to kxA node_type owning the element if found, otherwise an empty node_typeAverage case O(1), worst case O(a_tran.size())
a.extract(q)
(since C++17)
node_typeRemoves the element pointed to by qA node_type owning that elementAverage case O(1), worst case O(a.size())
a.merge(a2)
(since C++17)
voida.get_allocator()
==
a2.get_allocator()
Attempts to extract each element in a2 and insert it into a using the hash function and key equality predicate of a. In containers with unique keys, if there is an element in a with key equivalent to the key of an element from a2, then that element is not extracted from a2. Ensures: Pointers and references to the transferred elements of a2 refer to those same elements but as members of a. Iterators referring to the transferred elements and all iterators referring to a will be invalidated, but iterators to elements remaining in a2 will remain validAverage case O(N), where N is a2.size(), worst case O((a.size() + 1))
a.erase(k)size_typeErases all elements with key equivalent to kThe number of elements erasedAverage case O(a.count(k)), worst case O(a.size())
a_tran.erase(kx)
(since C++23)
size_typeErases all elements with key equivalent to kxThe number of elements erasedAverage case O(a_tran.count(kx)), worst case O(a_tran.size())
a.erase(q)iteratorErases the element pointed to by qThe iterator immediately following q prior to the erasureAverage case O(1), worst case O(a.size())
a.erase(r)
(since C++17)
iteratorErases the element pointed to by rThe iterator immediately following r prior to the erasureAverage case O(1), worst case O(a.size())
a.erase(q1, q2)iteratorErases all elements in the range
[q1q2)
The iterator immediately following the erased elements prior to the erasureAverage case linear in std::distance(q1, q2), worst case O(a.size())
a.clear()voidErases all elements in the container. Ensures: a.empty() is trueLinear in a.size()
b.find(k)iterator; const_iterator for constant bAn iterator pointing to an element with key equivalent to k, or b.end() if no such element existsAverage case O(1), worst case O(b.size())
a_tran.find(ke)
(since C++17)?
iterator; const_iterator for constant a_tranAn iterator pointing to an element with key equivalent to ke, or a_tran.end() if no such element existsAverage case O(1), worst case O(a_tran.size())
b.count(k)size_typeThe number of elements with key equivalent to kAverage case O(b.count(k)), worst case O(b.size())
a_tran.count(ke)
(since C++17)?
size_typeThe number of elements with key equivalent to keAverage case O(a_tran.count(ke)), worst case O(a_tran.size())
b.contains(k)
(since C++20)?
b.find(k) != b.end()
a_tran.contains(ke)
(since C++20)?
a_tran.find(ke) != a_tran.end()
b.equal_range(k)std::pair<
  iterator,
  iterator>;

std::pair<
  const_iterator,
  const_iterator> for constant b

A range containing all elements with keys equivalent to k. Returns

std::make_pair(
  b.end(), b.end())
if no such elements exist

Average case O(b.count(k)), worst case O(b.size())
a_tran.equal_range(ke)
(since C++20)?
std::pair<
  iterator,
  iterator>;

std::pair<
  const_iterator,
  const_iterator> for constant a_tran

A range containing all elements with keys equivalent to ke. Returns

std::make_pair(
  a_tran.end(),
  a_tran.end())
if no such elements exist

Average case O(a_tran.count(ke)), worst case O(a_tran.size())
b.bucket_count()size_typeThe number of buckets that b containsConstant
b.max_bucket_count()size_typeAn upper bound on the number of buckets that b can ever containConstant
b.bucket(k)size_typeb.bucket_count() > 0The index of the bucket in which elements with keys equivalent to k would be found, if any such element existed. The return value is in [0b.bucket_count())Constant
a_tran.bucket(ke)size_typea_tran.
bucket_count() > 0
The index of the bucket in which elements with keys equivalent to ke would be found, if any such element existed. The return value must be in the range [0a_tran.bucket_count())Constant
b.bucket_size(n)size_typen is in [0b.bucket_count())The number of elements in the nth bucketO(b.bucket_size(n))
b.begin(n)local_iterator; const_local_iterator for constant bn is in [0b.bucket_count())An iterator referring to the first element in the bucket. If the bucket is empty, then b.begin(n) == b.end(n)Constant
b.end(n)local_iterator; const_local_iterator for constant bn is in [0b.bucket_count())An iterator which is the past-the-end value for the bucketConstant
b.cbegin(n)const_local_iteratorn is in [0b.bucket_count())An iterator referring to the first element in the bucket. If the bucket is empty, then b.cbegin(n) == b.cend(n)Constant
b.cend(n)const_local_iteratorn is in [0b.bucket_count())An iterator which is the past-the-end value for the bucketConstant
b.load_factor()floatThe average number of elements per bucketConstant
b.max_load_factor()floatA positive number that the container attempts to keep the load factor less than or equal to. The container automatically increases the number of buckets as necessary to keep the load factor below this numberConstant
a.max_load_factor(z)voidz is positive. May change the container's maximum load factor, using z as a hintConstant
a.rehash(n)voidEnsures:

a.bucket_count() >=
  a.size() / a.max_load_factor()
and a.bucket_count() >= n

Average case linear in a.size(), worst case O(N2)
a.reserve(n)a.rehash(std::ceil(
  n / a.max_load_factor()))

[edit] Standard library

The following standard library containers satisfy the UnorderedAssociativeContainer requirements:

collection of unique keys, hashed by keys
(class template) [edit]
collection of keys, hashed by keys
(class template) [edit]
collection of key-value pairs, hashed by keys, keys are unique
(class template) [edit]
collection of key-value pairs, hashed by keys
(class template) [edit]

[edit] Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DRApplied toBehavior as publishedCorrect behavior
LWG 2156C++11the load factor after rehashing could only be
strictly lower than the maximum load factor
allowed to be equal