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Uses and additional types
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== Support==
== Support==
Few dialects have Type as a [[primitive function]]. [[Dyalog APL]] uses <source lang=apl inline>∊</source> (as in ''prototypical '''e'''lement''), but only when [[migration level]] is 0, while [[NARS2000]] uses [[monadic]] <source lang=apl inline>⊤</source> (resembling the Latin letter '''T''' for '''''T'''ype''), which it inherited from [[NARS]]. [[Extended Dyalog APL]] uses monadic <source lang=apl inline>⍷</source> with the underscore indicating functionality of the corresponding non-underscored glyph from a non-default migration level.<ref>[[Partition]] is <source lang=apl inline>⊆</source> with migration level≤2 while the original glyph is <source lang=apl inline>⊂</source> as with migration level 3. Dyalog Language Reference Guide: [https://help.dyalog.com/latest/#Language/Symbols/Left%20Shoe.htm Left Shoe].</ref>
Few dialects have Type as a [[primitive function]]. [[APL2]] IUP had it,<ref>Graham, Alan. [https://dl.acm.org/doi/pdf/10.1145/22008.22033#page=4 Idioms and Problem Solving Techniques in APL2; Appendix - APL2 Idiom List: 9. Type]. [[APL86]].</ref> and thus [[Dyalog APL]] originally supported it too. However, by the time [[IBM]] released APL2, <syntaxhighlight lang=apl inline>∊</syntaxhighlight> (as in ''prototypical '''e'''lement'') was repurposed for [[Enlist]]. Thus, Dyalog left the Type meaning in place only when [[migration level]] is 0, while setting it to 1 or higher follows IBM's replacement meaning. [[NARS2000]] uses [[monadic]] <syntaxhighlight lang=apl inline>⊤</syntaxhighlight> (resembling the Latin letter '''T''' for '''''T'''ype''), which it inherited from [[NARS]]. [[Extended Dyalog APL]] uses monadic <syntaxhighlight lang=apl inline>⍷</syntaxhighlight> with the underscore indicating functionality of the corresponding non-underscored glyph from a non-default migration level.<ref>[[Partition]] is <syntaxhighlight lang=apl inline>⊆</syntaxhighlight> with migration level≤2 while the original glyph is <syntaxhighlight lang=apl inline>⊂</syntaxhighlight> as with migration level 3. Dyalog Language Reference Guide: [https://help.dyalog.com/latest/#Language/Symbols/Left%20Shoe.htm Left Shoe].</ref>


However, in all dialects that support nested arrays, the type can be determined by enclosing/boxing the array in an empty array, and then coercing out a fill value. Since the [[array prototype]] is used as fill element, the resulting array will be the type of the original array:
However, in all dialects that support nested arrays, the type can be determined by enclosing/boxing the array in an empty array, and then coercing out a fill value. Since the [[array prototype]] is used as fill element, the resulting array will be the type of the original array:
<source lang=apl>
<syntaxhighlight lang=apl>
       ↑ 0 ⍴ ⊂ 1 2 'ab'
       ↑ 0 ⍴ ⊂ 1 2 'ab'
┌─┬─┬──┐
┌─┬─┬──┐
│0│0│  │
│0│0│  │
└─┴─┴──┘
└─┴─┴──┘
</source>
</syntaxhighlight>
{{Works in|[[Dyalog APL]] with [[migration level]]≥2, [[APL2]], [[APLX]]}}
{{Works in|[[Dyalog APL]] with [[migration level]]≥2, [[APL2]], [[APLX]]}}
<source lang=apl>
<syntaxhighlight lang=apl>
       ⊃ 0 ⍴ ⊂ 1 2 'ab'
       ⊃ 0 ⍴ ⊂ 1 2 'ab'
┌─┬─┬──┐
┌─┬─┬──┐
│0│0│  │
│0│0│  │
└─┴─┴──┘
└─┴─┴──┘
</source>
</syntaxhighlight>
{{Works in|[[Dyalog APL]] with [[migration level]]<nowiki>=</nowiki>1}}
{{Works in|[[Dyalog APL]] with [[migration level]]<nowiki>=</nowiki>1}}
=== Additional types ===
Dyalog APL has additional data types, besides for the traditional numeric, character, and nested ones. [[Null]]s and [[Object Representation]]s are their own type, while instances of objects with [[niladic]] constructor (or no constructors) cause the creation of new instances of the same class. Other objects, namely [[namespace]]s and classes with constructors but no niladic constructor, cause a [[NONCE ERROR]].
== Examples ==
Type can be used to construct universal utilities that adapt to the type of data given as argument. For example:
<syntaxhighlight lang=apl>
      Null  ← ≡∘∊⍨  ⍝ Indicate empty or all blank and/or zero
      Nil  ← ∊∘∊⍨  ⍝ Indicates null items
      Clean ← ~∘∊⍨  ⍝ Without null items
      Split ← (⊢⊆⍨∊≢¨⊢)  ⍝ Split on null items
      data  ← 'Hello' '  ' 'World' ⎕NULL (2 7 1 8) (3 1 4 1 5) (0 0 0) (0 0 7)
      Null 2⊃data
1
      Null 3⊃data
0
      Nil data
0 1 0 1 0 0 1 0
      Clean data
┌─────┬─────┬───────┬─────────┬─────┐
│Hello│World│2 7 1 8│3 1 4 1 5│0 0 7│
└─────┴─────┴───────┴─────────┴─────┘
      Split data
┌───────┬───────┬───────────────────┬───────┐
│┌─────┐│┌─────┐│┌───────┬─────────┐│┌─────┐│
││Hello│││World│││2 7 1 8│3 1 4 1 5│││0 0 7││
│└─────┘│└─────┘│└───────┴─────────┘│└─────┘│
└───────┴───────┴───────────────────┴───────┘
</syntaxhighlight>
{{Works in|[[Dyalog APL]] with [[migration level]]<nowiki>=</nowiki>0}}
== External links ==
== External links ==
=== Documentation ===
=== Documentation ===

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