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{{about|the data type|the mapping website|Multimap.com|the mathematical concept|Multivalued function}}
{{about|the data type|the mathematical concept|Multivalued function|the mapping website|Multimap.com}}
{{more citations needed|date=February 2022}}

A '''multimap''' (sometimes also '''multihash''') is a generalization of a [[associative array|map or associative array]] [[abstract data type]] in which more than one value may be associated with and returned for a given key. Both map and multimap are particular cases of [[container (data structure)|container]]s (see for example [[C++]] [[Standard Template Library]] [[Standard Template Library#Containers|containers]]). Often the multimap is implemented as a map with [[List (computing)|list]]s or [[Set (computer science)|set]]s as the map values.
In [[computer science]], a '''multimap''' (sometimes also '''multihash''', '''multidict''' or '''multidictionary''') is a generalization of a [[associative array|map or associative array]] [[abstract data type]] in which more than one value may be associated with and returned for a given key. Both map and multimap are particular cases of [[container (data structure)|container]]s (for example, see [[C++]] [[Standard Template Library]] [[Standard Template Library#Containers|containers]]). Often the multimap is implemented as a map with [[List (computing)|list]]s or [[Set (computer science)|set]]s as the map values.


==Examples==
==Examples==
* In a student enrollment system, where students may be enrolled in multiple classes simultaneously, there might be an association for each enrollment of a student in a course, where the key is the student ID and the value is the course ID. If a student is enrolled in three courses, there will be three associations containing the same key.
* In a student enrollment system, where students may be enrolled in multiple classes simultaneously, there might be an association for each enrollment of a student in a course, where the key is the student ID and the value is the course ID. If a student is enrolled in three courses, there will be three associations containing the same key.
* The index of a book may report any number of references for a given index term, and thus may be coded as a multimap from index terms to any number of reference locations.
* The index of a book may report any number of references for a given index term, and thus may be coded as a multimap from index terms to any number of reference locations or pages.
* [[Querystring|Querystrings]] may have multiple values associated with a single field. This is commonly generated when a [[web form]] allows multiple [[check box|check boxes]] or selections to be chosen in response to a single form element.
* [[Querystring]]s may have multiple values associated with a single field. This is commonly generated when a [[web form]] allows multiple [[check box]]es or selections to be chosen in response to a single form element.


==Language support==
==Language support==
[[C++]]'s [[Standard Template Library]] provides the <code>multimap</code> [[Standard Template Library#Containers|container]] for the sorted multimap using a [[self-balancing binary search tree]],<ref>{{cite web | url = http://www.sgi.com/tech/stl/Multimap.html | title = multimap<Key, Data, Compare, Alloc> | work = Standard Template Library Programmer's Guide | publisher = [[Silicon Graphics International]]}}</ref> and [[Silicon Graphics International|SGI]]'s STL extension provides the <code>hash_multimap</code> container, which implements a multimap using a [[hash table]].<ref>{{cite web | url = http://www.sgi.com/tech/stl/hash_multiset.html | title = hash_multiset<Key, HashFcn, EqualKey, Alloc> | work = Standard Template Library Programmer's Guide | publisher = [[Silicon Graphics International]]}}</ref>


===C++===
[[Apache Commons]] Collections provides a MultiMap interface for [[Java (programming language)|Java]].<ref>{{cite web | url = http://commons.apache.org/collections/api-release/org/apache/commons/collections/MultiMap.html | title = Interface MultiMap | work = Commons Collections 3.2.1 API, [[Apache Commons]]}}</ref> It also provides a MultiValueMap implementing class that makes a MultiMap out of a Map object and a type of Collection.<ref>{{cite web | url = http://commons.apache.org/collections/api-release/org/apache/commons/collections/map/MultiValueMap.html | title = Class MultiValueMap | work = Commons Collections 3.2.1 API, [[Apache Commons]]}}</ref>
[[C++]]'s [[Standard Template Library]] provides the <code>multimap</code> [[Standard Template Library#Containers|container]] for the sorted multimap using a [[self-balancing binary search tree]],<ref>{{cite web | url = http://www.sgi.com/tech/stl/Multimap.html | title = multimap<Key, Data, Compare, Alloc> | work = Standard Template Library Programmer's Guide | publisher = [[Silicon Graphics International]]}}</ref> and [[Silicon Graphics International|SGI]]'s STL extension provides the <code>hash_multimap</code> container, which implements a multimap using a [[hash table]].<ref>{{cite web | url = http://www.sgi.com/tech/stl/hash_multimap.html | title = hash_multimap<Key, HashFcn, EqualKey, Alloc> | work = Standard Template Library Programmer's Guide | publisher = [[Silicon Graphics International]]}}</ref>


Google Collections also provides an interface Multimap and implementations.<ref>{{cite web | url = http://google-collections.googlecode.com/svn/trunk/javadoc/com/google/common/collect/Multimap.html | title = Interface Multimap<K,V> | work = Google Collections Library 1.0}}</ref>
As of C++11, the [[Standard Template Library]] provides the <code>unordered_multimap</code> for the unordered multimap.<ref>{{cite web |url= http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2011/n3242.pdf |title = Working Draft, Standard for Programming Language C++ | page= 7807}}</ref>


===Dart===
[[Scala]] language's API also provides Multimap and implementations<ref>{{cite web | url = http://www.scala-lang.org/enwiki/api/current/scala/collection/mutable/MultiMap.html | title = Scala.collection.mutable.MultiMap | work = Scala stable API</ref>
Quiver provides a Multimap for [[Dart (programming language)|Dart]].<ref>{{cite web | url = https://pub.dev/documentation/quiver/latest/quiver.collection/Multimap-class.html | title = Multimap | work = Quiver API docs}}</ref>


== See also ==
===Java===
[[Apache Commons]] Collections provides a MultiMap interface for [[Java (programming language)|Java]].<ref>{{cite web | url = https://commons.apache.org/proper/commons-collections/javadocs/api-3.2.2/org/apache/commons/collections/MultiMap.html | title = Interface MultiMap | work = Commons Collections 3.2.2 API, [[Apache Commons]]}}</ref> It also provides a MultiValueMap implementing class that makes a MultiMap out of a Map object and a type of Collection.<ref>{{cite web | url = https://commons.apache.org/proper/commons-collections/javadocs/api-3.2.2/org/apache/commons/collections/map/MultiValueMap.html | title = Class MultiValueMap | work = Commons Collections 3.2.2 API, [[Apache Commons]]}}</ref>
* [[Abstract data type]] for the type of concept in general

* [[Associative array]] for the more fundamental abstract data type
[[Google Guava]] provides a Multimap interface and implementations of it.<ref>{{cite web | url = http://docs.guava-libraries.googlecode.com/git/javadoc/com/google/common/collect/Multimap.html | title = Interface Multimap<K,V> | work = Guava Library 2.0 | access-date = 2013-01-01 | archive-url = https://web.archive.org/web/20130115105942/http://docs.guava-libraries.googlecode.com/git/javadoc/com/google/common/collect/Multimap.html | archive-date = 2013-01-15 | url-status = dead }}</ref>

===Python===
Python provides a <code>collections.defaultdict</code> class that can be used to create a multimap. The user can instantiate the class as <code>collections.defaultdict(list)</code>.

===OCaml===
[[OCaml]]'s standard library module <code>Hashtbl</code> implements a hash table where it's possible to store multiple values for a key.

===Scala===
The [[Scala (programming language)|Scala]] programming language's API also provides Multimap and implementations.<ref>{{cite web | url = http://www.scala-lang.org/enwiki/api/current/scala/collection/mutable/MultiMap.html | title = Scala.collection.mutable.MultiMap | work = Scala stable API}}</ref>

==See also==
* [[Multiset]] for the case where same item can appear several times
* [[Multiset]] for the case where same item can appear several times


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[[Category:Associative arrays]]
[[Category:Associative arrays]]
[[Category:Abstract data types]]
[[Category:Abstract data types]]

{{comp-sci-stub}}

Latest revision as of 18:55, 13 May 2024

In computer science, a multimap (sometimes also multihash, multidict or multidictionary) is a generalization of a map or associative array abstract data type in which more than one value may be associated with and returned for a given key. Both map and multimap are particular cases of containers (for example, see C++ Standard Template Library containers). Often the multimap is implemented as a map with lists or sets as the map values.

Examples

[edit]
  • In a student enrollment system, where students may be enrolled in multiple classes simultaneously, there might be an association for each enrollment of a student in a course, where the key is the student ID and the value is the course ID. If a student is enrolled in three courses, there will be three associations containing the same key.
  • The index of a book may report any number of references for a given index term, and thus may be coded as a multimap from index terms to any number of reference locations or pages.
  • Querystrings may have multiple values associated with a single field. This is commonly generated when a web form allows multiple check boxes or selections to be chosen in response to a single form element.

Language support

[edit]

C++

[edit]

C++'s Standard Template Library provides the multimap container for the sorted multimap using a self-balancing binary search tree,[1] and SGI's STL extension provides the hash_multimap container, which implements a multimap using a hash table.[2]

As of C++11, the Standard Template Library provides the unordered_multimap for the unordered multimap.[3]

Dart

[edit]

Quiver provides a Multimap for Dart.[4]

Java

[edit]

Apache Commons Collections provides a MultiMap interface for Java.[5] It also provides a MultiValueMap implementing class that makes a MultiMap out of a Map object and a type of Collection.[6]

Google Guava provides a Multimap interface and implementations of it.[7]

Python

[edit]

Python provides a collections.defaultdict class that can be used to create a multimap. The user can instantiate the class as collections.defaultdict(list).

OCaml

[edit]

OCaml's standard library module Hashtbl implements a hash table where it's possible to store multiple values for a key.

Scala

[edit]

The Scala programming language's API also provides Multimap and implementations.[8]

See also

[edit]
  • Multiset for the case where same item can appear several times

References

[edit]
  1. ^ "multimap<Key, Data, Compare, Alloc>". Standard Template Library Programmer's Guide. Silicon Graphics International.
  2. ^ "hash_multimap<Key, HashFcn, EqualKey, Alloc>". Standard Template Library Programmer's Guide. Silicon Graphics International.
  3. ^ "Working Draft, Standard for Programming Language C++" (PDF). p. 7807.
  4. ^ "Multimap". Quiver API docs.
  5. ^ "Interface MultiMap". Commons Collections 3.2.2 API, Apache Commons.
  6. ^ "Class MultiValueMap". Commons Collections 3.2.2 API, Apache Commons.
  7. ^ "Interface Multimap<K,V>". Guava Library 2.0. Archived from the original on 2013-01-15. Retrieved 2013-01-01.
  8. ^ "Scala.collection.mutable.MultiMap". Scala stable API.