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[[STSC]]'s '''APL*PLUS Nested Arrays System''' (acronymized '''NARS''', from "Nested Array Research System") was the first commercial [[Nested array model|nested]] APL implementation. Drawing on work by [[Jim Brown]], [[Trenchard More]], and development manager [[Bob Smith]], NARS introduced a new set of functions for working with arrays that contain arrays, as well as many new operators such as [[Power (operator)|Power]].<ref name="manual">Carl M. Cheney. ''[http://www.sudleyplace.com/APL/Nested%20Arrays%20System.pdf APL*PLUS Nested Arrays System]'' (reference manual). [[STSC]]. 1981.</ref>
[[STSC]]'s '''APL*PLUS Nested Arrays System''' (acronymized '''NARS''', from "Nested Array Research System") was the first commercial [[Nested array model|nested]] APL implementation. Drawing on work by [[Jim Brown]], [[Trenchard More]], and development manager [[Bob Smith]], NARS introduced a new set of functions for working with arrays that contain arrays, as well as many new operators such as [[Power (operator)|Power]].<ref name="manual">Carl M. Cheney. ''[http://www.sudleyplace.com/APL/Nested%20Arrays%20System.pdf APL*PLUS Nested Arrays System]'' (reference manual). [[STSC]]. 1981.</ref>
== Primitives ==
NARS was an extension of [[APL*PLUS]], which used the [[APL.SV]] primitive set, except for [[Execute]] (<source lang=apl inline>⍎</source>). Only new primitives are shown here, with existing cases in parentheses.
=== Functions ===
{|class=wikitable
! Glyph                              !! Monadic              !! Dyadic
|-
| <source lang=apl inline>⊂</source> || [[Enclose]]          || [[Partitioned Enclose]]
|-
| <source lang=apl inline>⊃</source> || Disclose or [[First]] || [[Pick]]
|-
| <source lang=apl inline>⊤</source> || [[Type]]              ||
|-
| <source lang=apl inline>∩</source> ||                      || [[Intersection]]
|-
| <source lang=apl inline>∪</source> || [[Unique]]            || [[Union]]
|-
| <source lang=apl inline>~</source> ||                      || [[Set Difference]]
|-
| <source lang=apl inline>⍪</source> ||                      || [[Catenate]] along the First Dimension
|-
| <source lang=apl inline>≡</source> || [[Simple (NARS)]]    || [[Equivalent]]
|-
| <source lang=apl inline>≢</source> || [[Not-Simple]]        || [[Inequivalent]]
|-
| <source lang=apl inline>↓</source> || [[Split]]            || ([[Drop]])
|-
| <source lang=apl inline>↑</source> || [[Mix]]              || ([[Take]])
|}
Additionally, [[Index Generator]] was extended to allow a [[vector]] argument, [[Replicate]] and [[Expand]] were extended to allow integer left arguments, and [[Reshape]] was extended to allow an [[empty]] right argument (using [[fill element]]s).
=== Operators ===
{|class=wikitable
! Syntax                                !! Monadic call              !! Dyadic call
|-
| <source lang=apl inline>f/</source>  || ([[Reduction]])            || Dyadic Reduction ([[Windowed Reduction]])
|-
| <source lang=apl inline>f\</source>  || ([[Scan]])                || Dyadic Scan
|-
| <source lang=apl inline>f¨</source>  ||colspan=2| [[Each]]
|-
| <source lang=apl inline>f⍨</source>  ||                            || [[Commute]]
|-
| <source lang=apl inline>f⍣B</source>  || [[Power (operator)|Power]] ||
|-
| <source lang=apl inline>f⍣∘</source>  || [[Power Limit]]            ||
|-
| <source lang=apl inline>f⍣∘</source>  || [[Power Series (operator)|Power Series]] ||
|-
| <source lang=apl inline>f∘g</source>  ||colspan=2| Composition ([[Beside]])
|-
| <source lang=apl inline>A∘g</source>  ||rowspan=2| Composition ([[Bind]])  ||
|-
| <source lang=apl inline>f∘B</source>  ||
|-
| <source lang=apl inline>f⍢g</source>  ||colspan=2| [[Dual]]
|-
| <source lang=apl inline>A⍡</source>  ||                            || [[Convolution operator]]
|-
| <source lang=apl inline>A∘/</source> ||                            || [[Mask]]
|-
| <source lang=apl inline>A∘\</source> ||                            || [[Mesh]]
|-
!colspan=3| [[Direct definition (NARS)|Direct definition]]
|-
| <source lang=apl inline>∘∇B</source> || [[Monadic]]                ||
|-
| <source lang=apl inline>A∇∘</source> ||                            || [[Dyadic]]
|-
| <source lang=apl inline>A∇B</source> ||colspan=2| [[Ambivalent]]
|}
The [[Outer Product]] operator was renamed "Function Table".
=== Other functionality ===
* [[Stranding]] and [[stranded assignment]] syntax were added.
* The primitive array [[Zilde]] was introduced.
* The assignment arrow <source lang=apl inline>←</source> with nothing to the left was used to indicate [[Sink]], which prevented display of a value.
* [[Defined function]]s were extended to allow an ambivalent case.
* [[Choose indexing]] was added.


== References ==
== References ==
Retrieved from ‘https://aplwiki.com/wiki/Special:MobileDiff/4218’

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