Index (function): Difference between revisions

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(Created page with ":''This article describes a dyadic primitive function that performs indexing into an array. For the concept of array indices, see Index. For the concept of extracting item...")
 
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:''This article describes a dyadic primitive function that performs indexing into an array. For the concept of array indices, see [[Index]]. For the concept of extracting items from an array, see [[Indexing]].''
:''This article describes a dyadic primitive function that performs indexing into an array. For the concept of array indices, see [[Index]]. For the concept of extracting items from an array, see [[Indexing]].''


{{Built-in|Index|⌷}}, also called '''Squad Indexing''' after the name of the [[glyph]], is a [[dyadic]] [[primitive function]]. The result of <source lang=apl inline>X⌷Y</source> is an array formed with items of Y extracted by the [[index]] specification X. This function is a proper function alternative to a mode of [[bracket indexing]], which uses a dedicated syntax <source lang=apl inline>Y[X]</source>.
{{Built-in|Index|⌷}}, also called '''Squad Indexing''' after the name of the [[glyph]], is a [[dyadic]] [[primitive function]]. The result of <source lang=apl inline>X⌷Y</source> is an array formed with items of Y extracted by the [[index]] specification X. Index is a proper [[function]] alternative to a mode of [[bracket indexing]] (which uses a dedicated syntax <source lang=apl inline>Y[X]</source>), making it usable within [[tacit programming]]. It shares its glyph with the monadic [[Materialise]] function.


== Examples ==
== Examples ==


The left [[argument]] X must be a [[vector]] whose length equals the [[rank]] of the right argument Y and [[depth]] does not exceed 2. Each element of X selects one or more indices over the corresponding [[axis]] of the right argument Y. The result is identical to that of [[bracket indexing]] in that <source lang=apl inline>Y[X1;X2;...;Xn] ≡ X1 X2 ... Xn⌷Y</source>. The resulting [[shape]] equals the [[catenate|concatenation]] of the shapes of each element of X.
The left [[argument]] X must be a [[vector]] whose length equals the [[rank]] of the right argument Y and [[depth]] does not exceed 2. Each element of X selects one or more indices over the corresponding [[axis]] of the right argument Y. The result is identical to that of [[bracket indexing]] in that <source lang=apl inline>Y[X1;X2;;Xn] ≡ X1 X2 Xn⌷Y</source>. The resulting [[shape]] equals the [[catenate|concatenation]] of the shapes of each element of X.


<source lang=apl>
<source lang=apl>
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</source>
</source>


When used with [[function axis]] in the form of <source lang=apl inline>X⌷[K]Y</source>, K specifies a subset of axes of Y to apply indexing on. The axes not mentioned in K are selected without modification; this corresponds to omitted axes in bracket indexing.
When used with [[function axis]] in the form of <source lang=apl inline>X⌷[K]Y</source>, K specifies a subset of [[axes]] of Y to apply indexing on. The axes not mentioned in K are selected without modification; this corresponds to omitted axes in bracket indexing.


<source lang=apl>
<source lang=apl>
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This form of indexing is supported in [[J]] as boxed left argument of '''From''' <source lang=j inline>{</source>.
This form of indexing is supported in [[J]] as boxed left argument of '''From''' <source lang=j inline>{</source>.


== See also ==
* [[Pick]]
* [[Select]]
== External links ==
== External links ==


=== Documentation ===
=== Documentation ===


* [http://help.dyalog.com/latest/#Language/Primitive%20Functions/Index.htm Dyalog], [http://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20with%20Axes.htm with axis]
* [https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index.htm Dyalog], [https://help.dyalog.com/latest/#Language/Primitive%20Functions/Index%20with%20Axes.htm with axis]
* [http://microapl.com/apl_help/ch_020_020_620.htm APLX]
* [http://microapl.com/apl_help/ch_020_020_620.htm APLX]
* J [https://www.jsoftware.com/help/dictionary/d520.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/curlylf#dyadic Nuvoc]
* J [https://www.jsoftware.com/help/dictionary/d520.htm Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/curlylf#dyadic Nuvoc]


{{APL built-ins}}[[Category:Primitive functions]]
{{APL built-ins}}[[Category:Primitive functions]]

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