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Union type

In computer science, a union is a value that may have any of several representations or formats within the same position in memory; that consists of a variable that may hold such a data structure. Some programming languages support special data types, called union types, to describe such values and variables. In other words, a union type definition will specify which of a number of permitted primitive types may be stored in its instances, e.g., "float or long integer". In contrast with a record (or structure), which could be defined to contain both a float and an integer; in a union, there is only one value at any given time.

A union can be pictured as a chunk of memory that is used to store variables of different data types. Once a new value is assigned to a field, the existing data is overwritten with the new data. The memory area storing the value has no intrinsic type (other than just bytes or words of memory), but the value can be treated as one of several abstract data types, having the type of the value that was last written to the memory area.

In type theory, a union has a sum type; this corresponds to disjoint union in mathematics.

Depending on the language and type, a union value may be used in some operations, such as assignment and comparison for equality, without knowing its specific type. Other operations may require that knowledge, either by some external information, or by the use of a tagged union.

Untagged unions edit

Because of the limitations of their use, untagged unions are generally only provided in untyped languages or in a type-unsafe way (as in C). They have the advantage over simple tagged unions of not requiring space to store a data type tag.

The name "union" stems from the type's formal definition. If a type is considered as the set of all values that that type can take on, a union type is simply the mathematical union of its constituting types, since it can take on any value any of its fields can. Also, because a mathematical union discards duplicates, if more than one field of the union can take on a single common value, it is impossible to tell from the value alone which field was last written.

However, one useful programming function of unions is to map smaller data elements to larger ones for easier manipulation. A data structure consisting, for example, of 4 bytes and a 32-bit integer, can form a union with an unsigned 64-bit integer, and thus be more readily accessed for purposes of comparison etc.

Unions in various programming languages edit

ALGOL 68 edit

ALGOL 68 has tagged unions, and uses a case clause to distinguish and extract the constituent type at runtime. A union containing another union is treated as the set of all its constituent possibilities, and if the context requires it a union is automatically coerced into the wider union. A union can explicitly contain no value, which can be distinguished at runtime. An example is:

 mode node = union (real, int, string, void); node n := "abc"; case n in (real r): print(("real:", r)), (int i): print(("int:", i)), (string s): print(("string:", s)), (void): print(("void:", "EMPTY")), out print(("?:", n)) esac 

The syntax of the C/C++ union type and the notion of casts was derived from ALGOL 68, though in an untagged form.[1]

C/C++ edit

In C and C++, untagged unions are expressed nearly exactly like structures (structs), except that each data member begins at the same location in memory. The data members, as in structures, need not be primitive values, and in fact may be structures or even other unions. C++ (since C++11) also allows for a data member to be any type that has a full-fledged constructor/destructor and/or copy constructor, or a non-trivial copy assignment operator. For example, it is possible to have the standard C++ string as a member of a union.

The primary use of a union is allowing access to a common location by different data types, for example hardware input/output access, bitfield and word sharing, or type punning. Unions can also provide low-level polymorphism. However, there is no checking of types, so it is up to the programmer to be sure that the proper fields are accessed in different contexts. The relevant field of a union variable is typically determined by the state of other variables, possibly in an enclosing struct.

One common C programming idiom uses unions to perform what C++ calls a reinterpret_cast, by assigning to one field of a union and reading from another, as is done in code which depends on the raw representation of the values. A practical example is the method of computing square roots using the IEEE representation. This is not, however, a safe use of unions in general.

Structure and union specifiers have the same form. [ . . . ] The size of a union is sufficient to contain the largest of its members. The value of at most one of the members can be stored in a union object at any time. A pointer to a union object, suitably converted, points to each of its members (or if a member is a bit-field, then to the unit in which it resides), and vice versa.

— ANSI/ISO 9899:1990 (the ANSI C standard) Section 6.5.2.1

Anonymous union edit

In C++, C11, and as a non-standard extension in many compilers, unions can also be anonymous. Their data members do not need to be referenced, are instead accessed directly. They have some restrictions as opposed to traditional unions: in C11, they must be a member of another structure or union,[2] and in C++, they can not have methods or access specifiers.

Simply omitting the class-name portion of the syntax does not make a union an anonymous union. For a union to qualify as an anonymous union, the declaration must not declare an object. Example:

#include <iostream> #include <cstdint> int main() {  union {  float f;  uint32_t d; // Assumes float is 32 bits wide  };  f = 3.14f;  std::cout << "Hexadecimal representation of 3.14f:"   << std::hex << d << '\n'; return 0; } 

Anonymous unions are also useful in C struct definitions to provide a sense of namespacing.[3]

Transparent union edit

In compilers such as GCC, Clang, and IBM XL C for AIX, a transparent_union attribute is available for union types. Types contained in the union can be converted transparently to the union type itself in a function call, provided that all types have the same size. It is mainly intended for function with multiple parameter interfaces, a use necessitated by early Unix extensions and later re-standarisation.[4]

COBOL edit

In COBOL, union data items are defined in two ways. The first uses the RENAMES (66 level) keyword, which effectively maps a second alphanumeric data item on top of the same memory location as a preceding data item. In the example code below, data item PERSON-REC is defined as a group containing another group and a numeric data item. PERSON-DATA is defined as an alphanumeric data item that renames PERSON-REC, treating the data bytes continued within it as character data.

 01 PERSON-REC.  05 PERSON-NAME.   10 PERSON-NAME-LAST PIC X(12).   10 PERSON-NAME-FIRST PIC X(16).   10 PERSON-NAME-MID PIC X.  05 PERSON-ID PIC 9(9) PACKED-DECIMAL.    01 PERSON-DATA RENAMES PERSON-REC. 

The second way to define a union type is by using the REDEFINES keyword. In the example code below, data item VERS-NUM is defined as a 2-byte binary integer containing a version number. A second data item VERS-BYTES is defined as a two-character alphanumeric variable. Since the second item is redefined over the first item, the two items share the same address in memory, and therefore share the same underlying data bytes. The first item interprets the two data bytes as a binary value, while the second item interprets the bytes as character values.

 01 VERS-INFO.  05 VERS-NUM PIC S9(4) COMP.  05 VERS-BYTES PIC X(2)   REDEFINES VERS-NUM 

Pascal edit

In Pascal, there are two ways to create unions. One is the standard way through a variant record. The second is a nonstandard means of declaring a variable as absolute, meaning it is placed at the same memory location as another variable or at an absolute address. While all Pascal compilers support variant records, only some support absolute variables.

For the purposes of this example, the following are all integer types: a byte consists of 8 bits, a word is 16 bits, and an integer is 32 bits.

The following example shows the non-standard absolute form:

var  A: Integer;  B: array[1..4] of Byte absolute A;  C: Integer absolute 0; 

In the first example, each of the elements of the array B maps to one of the specific bytes of the variable A. In the second example, the variable C is assigned to the exact machine address 0.

In the following example, a record has variants, some of which share the same location as others:

type  Shape = (Circle, Square, Triangle);  Dimensions = record  case Figure: Shape of   Circle: (Diameter: real);  Square: (Width: real);  Triangle: (Side: real; Angle1, Angle2: 0..360)  end; 

PL/I edit

In PL/I the original term for a union was cell,[5] which is still accepted as a synonym for union by several compilers. The union declaration is similar to the structure definition, where elements at the same level within the union declaration occupy the same storage. Elements of the union can be any data type, including structures and array.[6]: pp192–193  Here vers_num and vers_bytes occupy the same storage locations.

 1 vers_info union,  5 vers_num fixed binary,  5 vers_bytes pic '(2)A'; 

An alternative to a union declaration is the DEFINED attribute, which allows alternative declarations of storage, however the data types of the base and defined variables must match.[6]: pp.289–293 

Rust edit

Rust implements both tagged and untagged unions. In Rust, tagged unions are implemented using the enum keyword. Unlike enumerated types in most other languages, enum variants in Rust can contain additional data in the form of a tuple or struct, making them tagged unions rather than simple enumerated types.[7]

Rust also supports untagged unions using the union keyword. The memory layout of unions in Rust is undefined by default,[8] but a union with the #[repr(C)] attribute will be laid out in memory exactly like the equivalent union in C.[9] Reading the fields of a union can only be done within an unsafe function or block, as the compiler cannot guarantee that the data in the union will be valid for the type of the field; if this is not the case, it will result in undefined behavior.[10]

Syntax and example edit

C/C++ edit

In C and C++, the syntax is:

union <name> {  <datatype> <1st variable name>;  <datatype> <2nd variable name>;  .  .  .  <datatype> <nth variable name>; } <union variable name>; 

A structure can also be a member of a union, as the following example shows:

union name1 {  struct name2  {   int a;  float b;  char c;  } svar;  int d; } uvar; 

This example defines a variable uvar as a union (tagged as name1), which contains two members, a structure (tagged as name2) named svar (which in turn contains three members), and an integer variable named d.

Unions may occur within structures and arrays, and vice versa:

struct {   int flags;  char *name;  int utype;  union {  int ival;  float fval;  char *sval;  } u; } symtab[NSYM]; 

The number ival is referred to as symtab[i].u.ival and the first character of string sval by either of *symtab[i].u.sval or symtab[i].u.sval[0].

PHP edit

Union types were introduced in PHP 8.0.[11] The values are implicitly "tagged" with a type by the language, and may be retrieved by "gettype()".

class Example { private int|float $foo; public function squareAndAdd(float|int $bar): int|float { return $bar ** 2 + $this->foo; } } 

Python edit

Support for typing was introduced in Python 3.5.[12] The new syntax for union types were introduced in Python 3.10.[13]

class Example: foo = 0 def square_and_add(self, bar: int | float) -> int | float: return bar ** 2 + self.foo 

TypeScript edit

Union types are supported in TypeScript.[14] The values are implicitly "tagged" with a type by the language, and may be retrieved using a typeof call for primitive values and an instanceof comparison for complex data types. Types with overlapping usage (e.g. a slice method exists on both strings and arrays, the plus operator works on both strings and numbers) don't need additional narrowing to use these features.

function successor(n: number | bigint): number | bigint {  // types that support the same operations don't need narrowing  return ++n; } function dependsOnParameter(v: string | Array<string> | number) {  // distinct types need narrowing  if (v instanceof Array) {  // do something  } else if (typeof(v) === "string") {  // do something else  } else {  // has to be a number  } } 

Rust edit

Tagged unions in Rust use the enum keyword, and can contain tuple and struct variants:

enum Foo {  Bar(i32),  Baz { x: String, y: i32 }, } 

Untagged unions in Rust use the union keyword:

union Foo {  bar: i32,  baz: bool, } 

Reading from the fields of an untagged union results in undefined behavior if the data in the union is not valid as the type of the field, and thus requires an unsafe block:

let x = Foo { bar: 10 }; let y = unsafe { x.bar }; // This will set y to 10, and does not result in undefined behavior. let z = unsafe { x.baz }; // This results in undefined behavior, as the value stored in x is not a valid bool. 

See also edit

References edit

  1. ^ Ritchie, Dennis M. (March 1993). "The Development of the C Language". ACM SIGPLAN Notices. 28 (3): 201–208. doi:10.1145/155360.155580. The scheme of type composition adopted by C owes considerable debt to Algol 68, although it did not, perhaps, emerge in a form that Algol's adherents would approve of. The central notion I captured from Algol was a type structure based on atomic types (including structures), composed into arrays, pointers (references), and functions (procedures). Algol 68's concept of unions and casts also had an influence that appeared later.
  2. ^ "6.63 Unnamed Structure and Union Fields". Retrieved 2016-12-29.
  3. ^ Siebenmann., Chris. "CUnionsForNamespaces". utcc.utoronto.ca.
  4. ^ "Common Type Attributes: transparent_union". Using the GNU Compiler Collection (GCC).
  5. ^ IBM Corporation (March 1968). IBM System/360 PL/I Language Specifications (PDF). p. 52. Retrieved Jan 22, 2018.
  6. ^ a b IBM Corporation (Dec 2017). Enterprise PL/I for z/OS PL/I for AIX IBM Developer for z Systems PL/I for windows Language Reference (PDF). Retrieved Jan 22, 2018.
  7. ^ "How Rust Implements Tagged Unions - Pat Shaughnessy". patshaughnessy.net. Retrieved 2023-04-25.
  8. ^ "Union types - The Rust Reference". doc.rust-lang.org. Retrieved 2023-04-25.
  9. ^ "Type layout - The Rust Reference". doc.rust-lang.org. Retrieved 2023-04-25.
  10. ^ "Unions - The Rust Reference". doc.rust-lang.org. Retrieved 2023-04-25.
  11. ^ Karunaratne, Ayesh. "PHP 8.0: Union Types". PHP.Watch. Retrieved 30 November 2020.
  12. ^ "typing — Support for type hints — Python 3.9.7 documentation". docs.python.org. Retrieved 8 September 2021.
  13. ^ "PEP 604 -- Allow writing union types as X | Y". Python.org. Retrieved 8 September 2021.
  14. ^ "Handbook - Unions and Intersection Types". www.typescriptlang.org. Retrieved 30 November 2020.
  • Kernighan, Brian W.; Ritchie, Dennis M. (1978). The C Programming Language (1st ed.). Prentice Hall. p. 138. ISBN 978-0131101630. Retrieved Jan 23, 2018.

External links edit

  • boost::variant, a type-safe alternative to C++ unions
  • MSDN: Classes, Structures & Unions, for examples and syntax
  • differences, differences between union & structure
  • Difference between struct and union in C++

union, type, confused, with, union, theory, union, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspapers,. Not to be confused with Union set theory or Union SQL This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Union type news newspapers books scholar JSTOR August 2009 Learn how and when to remove this message In computer science a union is a value that may have any of several representations or formats within the same position in memory that consists of a variable that may hold such a data structure Some programming languages support special data types called union types to describe such values and variables In other words a union type definition will specify which of a number of permitted primitive types may be stored in its instances e g float or long integer In contrast with a record or structure which could be defined to contain both a float and an integer in a union there is only one value at any given time A union can be pictured as a chunk of memory that is used to store variables of different data types Once a new value is assigned to a field the existing data is overwritten with the new data The memory area storing the value has no intrinsic type other than just bytes or words of memory but the value can be treated as one of several abstract data types having the type of the value that was last written to the memory area In type theory a union has a sum type this corresponds to disjoint union in mathematics Depending on the language and type a union value may be used in some operations such as assignment and comparison for equality without knowing its specific type Other operations may require that knowledge either by some external information or by the use of a tagged union Contents 1 Untagged unions 2 Unions in various programming languages 2 1 ALGOL 68 2 2 C C 2 2 1 Anonymous union 2 2 2 Transparent union 2 3 COBOL 2 4 Pascal 2 5 PL I 2 6 Rust 3 Syntax and example 3 1 C C 3 2 PHP 3 3 Python 3 4 TypeScript 3 5 Rust 4 See also 5 References 6 External linksUntagged unions editBecause of the limitations of their use untagged unions are generally only provided in untyped languages or in a type unsafe way as in C They have the advantage over simple tagged unions of not requiring space to store a data type tag The name union stems from the type s formal definition If a type is considered as the set of all values that that type can take on a union type is simply the mathematical union of its constituting types since it can take on any value any of its fields can Also because a mathematical union discards duplicates if more than one field of the union can take on a single common value it is impossible to tell from the value alone which field was last written However one useful programming function of unions is to map smaller data elements to larger ones for easier manipulation A data structure consisting for example of 4 bytes and a 32 bit integer can form a union with an unsigned 64 bit integer and thus be more readily accessed for purposes of comparison etc Unions in various programming languages editALGOL 68 edit ALGOL 68 has tagged unions and uses a case clause to distinguish and extract the constituent type at runtime A union containing another union is treated as the set of all its constituent possibilities and if the context requires it a union is automatically coerced into the wider union A union can explicitly contain no value which can be distinguished at runtime An example is mode node union real int string void node n abc case n in real r print real r int i print int i string s print string s void print void EMPTY out print n esac The syntax of the C C union type and the notion of casts was derived from ALGOL 68 though in an untagged form 1 C C edit In C and C untagged unions are expressed nearly exactly like structures structs except that each data member begins at the same location in memory The data members as in structures need not be primitive values and in fact may be structures or even other unions C since C 11 also allows for a data member to be any type that has a full fledged constructor destructor and or copy constructor or a non trivial copy assignment operator For example it is possible to have the standard C string as a member of a union The primary use of a union is allowing access to a common location by different data types for example hardware input output access bitfield and word sharing or type punning Unions can also provide low level polymorphism However there is no checking of types so it is up to the programmer to be sure that the proper fields are accessed in different contexts The relevant field of a union variable is typically determined by the state of other variables possibly in an enclosing struct One common C programming idiom uses unions to perform what C calls a a href Reinterpret cast html class mw redirect title Reinterpret cast reinterpret cast a by assigning to one field of a union and reading from another as is done in code which depends on the raw representation of the values A practical example is the method of computing square roots using the IEEE representation This is not however a safe use of unions in general Structure and union specifiers have the same form The size of a union is sufficient to contain the largest of its members The value of at most one of the members can be stored in a union object at any time A pointer to a union object suitably converted points to each of its members or if a member is a bit field then to the unit in which it resides and vice versa ANSI ISO 9899 1990 the ANSI C standard Section 6 5 2 1 Anonymous union edit In C C11 and as a non standard extension in many compilers unions can also be anonymous Their data members do not need to be referenced are instead accessed directly They have some restrictions as opposed to traditional unions in C11 they must be a member of another structure or union 2 and in C they can not have methods or access specifiers Simply omitting the class name portion of the syntax does not make a union an anonymous union For a union to qualify as an anonymous union the declaration must not declare an object Example include lt iostream gt include lt cstdint gt int main union float f uint32 t d Assumes float is 32 bits wide f 3 14f std cout lt lt Hexadecimal representation of 3 14f lt lt std hex lt lt d lt lt n return 0 Anonymous unions are also useful in C struct definitions to provide a sense of namespacing 3 Transparent union edit In compilers such as GCC Clang and IBM XL C for AIX a transparent union attribute is available for union types Types contained in the union can be converted transparently to the union type itself in a function call provided that all types have the same size It is mainly intended for function with multiple parameter interfaces a use necessitated by early Unix extensions and later re standarisation 4 COBOL edit In COBOL union data items are defined in two ways The first uses the RENAMES 66 level keyword which effectively maps a second alphanumeric data item on top of the same memory location as a preceding data item In the example code below data item PERSON REC is defined as a group containing another group and a numeric data item PERSON DATA is defined as an alphanumeric data item that renames PERSON REC treating the data bytes continued within it as character data 01 PERSON REC 05 PERSON NAME 10 PERSON NAME LAST PIC X 12 10 PERSON NAME FIRST PIC X 16 10 PERSON NAME MID PIC X 05 PERSON ID PIC 9 9 PACKED DECIMAL 01 PERSON DATA RENAMES PERSON REC The second way to define a union type is by using the REDEFINES keyword In the example code below data item VERS NUM is defined as a 2 byte binary integer containing a version number A second data item VERS BYTES is defined as a two character alphanumeric variable Since the second item is redefined over the first item the two items share the same address in memory and therefore share the same underlying data bytes The first item interprets the two data bytes as a binary value while the second item interprets the bytes as character values 01 VERS INFO 05 VERS NUM PIC S9 4 COMP 05 VERS BYTES PIC X 2 REDEFINES VERS NUM Pascal edit In Pascal there are two ways to create unions One is the standard way through a variant record The second is a nonstandard means of declaring a variable as absolute meaning it is placed at the same memory location as another variable or at an absolute address While all Pascal compilers support variant records only some support absolute variables For the purposes of this example the following are all integer types a byte consists of 8 bits a word is 16 bits and an integer is 32 bits The following example shows the non standard absolute form var A Integer B array 1 4 of Byte absolute A C Integer absolute 0 In the first example each of the elements of the array B maps to one of the specific bytes of the variable A In the second example the variable C is assigned to the exact machine address 0 In the following example a record has variants some of which share the same location as others type Shape Circle Square Triangle Dimensions record case Figure Shape of Circle Diameter real Square Width real Triangle Side real Angle1 Angle2 0 360 end PL I edit In PL I the original term for a union was cell 5 which is still accepted as a synonym for union by several compilers The union declaration is similar to the structure definition where elements at the same level within the union declaration occupy the same storage Elements of the union can be any data type including structures and array 6 pp192 193 Here vers num and vers bytes occupy the same storage locations 1 vers info union 5 vers num fixed binary 5 vers bytes pic 2 A An alternative to a union declaration is the DEFINED attribute which allows alternative declarations of storage however the data types of the base and defined variables must match 6 pp 289 293 Rust edit Rust implements both tagged and untagged unions In Rust tagged unions are implemented using the span class k enum span keyword Unlike enumerated types in most other languages enum variants in Rust can contain additional data in the form of a tuple or struct making them tagged unions rather than simple enumerated types 7 Rust also supports untagged unions using the span class k union span keyword The memory layout of unions in Rust is undefined by default 8 but a union with the span class cp repr C span attribute will be laid out in memory exactly like the equivalent union in C 9 Reading the fields of a union can only be done within an span class k unsafe span function or block as the compiler cannot guarantee that the data in the union will be valid for the type of the field if this is not the case it will result in undefined behavior 10 Syntax and example editC C edit In C and C the syntax is union lt name gt lt datatype gt lt 1 st variable name gt lt datatype gt lt 2 nd variable name gt lt datatype gt lt nth variable name gt lt union variable name gt A structure can also be a member of a union as the following example shows union name1 struct name2 int a float b char c svar int d uvar This example defines a variable uvar as a union tagged as name1 which contains two members a structure tagged as name2 named svar which in turn contains three members and an integer variable named d Unions may occur within structures and arrays and vice versa struct int flags char name int utype union int ival float fval char sval u symtab NSYM The number ival is referred to as symtab i u ival and the first character of string sval by either of symtab i u sval or symtab i u sval 0 PHP edit Union types were introduced in PHP 8 0 11 The values are implicitly tagged with a type by the language and may be retrieved by gettype class Example private int float foo public function squareAndAdd float int bar int float return bar 2 this gt foo Python edit Support for typing was introduced in Python 3 5 12 The new syntax for union types were introduced in Python 3 10 13 class Example foo 0 def square and add self bar int float gt int float return bar 2 self foo TypeScript edit Union types are supported in TypeScript 14 The values are implicitly tagged with a type by the language and may be retrieved using a typeof call for primitive values and an instanceof comparison for complex data types Types with overlapping usage e g a slice method exists on both strings and arrays the plus operator works on both strings and numbers don t need additional narrowing to use these features function successor n number bigint number bigint types that support the same operations don t need narrowing return n function dependsOnParameter v string Array lt string gt number distinct types need narrowing if v instanceof Array do something else if typeof v string do something else else has to be a number Rust edit Tagged unions in Rust use the span class k enum span keyword and can contain tuple and struct variants enum Foo Bar i32 Baz x String y i32 Untagged unions in Rust use the span class k union span keyword union Foo bar i32 baz bool Reading from the fields of an untagged union results in undefined behavior if the data in the union is not valid as the type of the field and thus requires an span class k unsafe span block let x Foo bar 10 let y unsafe x bar This will set y to 10 and does not result in undefined behavior let z unsafe x baz This results in undefined behavior as the value stored in x is not a valid bool See also editTagged unionReferences edit Ritchie Dennis M March 1993 The Development of the C Language ACM SIGPLAN Notices 28 3 201 208 doi 10 1145 155360 155580 The scheme of type composition adopted by C owes considerable debt to Algol 68 although it did not perhaps emerge in a form that Algol s adherents would approve of The central notion I captured from Algol was a type structure based on atomic types including structures composed into arrays pointers references and functions procedures Algol 68 s concept of unions and casts also had an influence that appeared later 6 63 Unnamed Structure and Union Fields Retrieved 2016 12 29 Siebenmann Chris CUnionsForNamespaces utcc utoronto ca Common Type Attributes transparent union Using the GNU Compiler Collection GCC IBM Corporation March 1968 IBM System 360 PL I Language Specifications PDF p 52 Retrieved Jan 22 2018 a b IBM Corporation Dec 2017 Enterprise PL I for z OS PL I for AIX IBM Developer for z Systems PL I for windows Language Reference PDF Retrieved Jan 22 2018 How Rust Implements Tagged Unions Pat Shaughnessy patshaughnessy net Retrieved 2023 04 25 Union types The Rust Reference doc rust lang org Retrieved 2023 04 25 Type layout The Rust Reference doc rust lang org Retrieved 2023 04 25 Unions The Rust Reference doc rust lang org Retrieved 2023 04 25 Karunaratne Ayesh PHP 8 0 Union Types PHP Watch Retrieved 30 November 2020 typing Support for type hints Python 3 9 7 documentation docs python org Retrieved 8 September 2021 PEP 604 Allow writing union types as X Y Python org Retrieved 8 September 2021 Handbook Unions and Intersection Types www typescriptlang org Retrieved 30 November 2020 Kernighan Brian W Ritchie Dennis M 1978 The C Programming Language 1st ed Prentice Hall p 138 ISBN 978 0131101630 Retrieved Jan 23 2018 External links editboost variant a type safe alternative to C unions MSDN Classes Structures amp Unions for examples and syntax differences differences between union amp structure Difference between struct and union in C Retrieved from https en wikipedia org w index php title Union type amp oldid 1221345236, wikipedia, wiki, book, books, library,

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