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Fill element: Difference between revisions
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A '''fill element''' is an [[element]] used for the result of a [[function]] when no element from the [[argument]] or another relevant array is used. The fill element is usually that array's [[prototype]]. [[J]] allows the fill to be specified using the fit conjunction < | A '''fill element''' is an [[element]] used for the result of a [[function]] when no element from the [[argument]] or another relevant array is used. The fill element is usually that array's [[prototype]]. [[J]] allows the fill to be specified using the fit conjunction <syntaxhighlight lang=j inline>!.</syntaxhighlight>, an analogue of [[Variant]]. | ||
Fills are one way to convert an [[empty array]] into a non-empty array. [[Reduction]] along an empty [[axis]] also produces such a transition, but in this case an [[identity element]] for the reducing function is used instead of a fill. | Fills are one way to convert an [[empty array]] into a non-empty array. [[Reduction]] along an empty [[axis]] also produces such a transition, but in this case an [[identity element]] for the reducing function is used instead of a fill. | ||
== Uses == | |||
The following functions and operators may use fill elements in their results. | The following functions and operators may use fill elements in their results. | ||
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! Glyph !! Monad !! Dyad | ! Glyph !! Monad !! Dyad | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>⍴</syntaxhighlight> || || [[Reshape]] | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>↑</syntaxhighlight> || [[Mix]] (or <syntaxhighlight lang=apl inline>⊃</syntaxhighlight>) || [[Take]] | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>/</syntaxhighlight> and <syntaxhighlight lang=apl inline>⌿</syntaxhighlight> || || [[Replicate]] | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>\</syntaxhighlight> and <syntaxhighlight lang=apl inline>⍀</syntaxhighlight> || || [[Expand]] | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>⍤</syntaxhighlight> ||colspan=2| [[Rank operator]] | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>⌸</syntaxhighlight> ||colspan=2| [[Key]] | ||
|- | |- | ||
| < | | <syntaxhighlight lang=apl inline>⌺</syntaxhighlight> ||colspan=2| [[Stencil]] | ||
|} | |} | ||
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In languages with [[function rank]], fills are similarly used to force result cells of a function with rank to have a uniform [[shape]]. This means that fills may be used by any primitive function which can produce differently-shaped result cells in a single application. A notable example is [[Unbox]], which behaves like the nested Mix because of this feature of function rank. | In languages with [[function rank]], fills are similarly used to force result cells of a function with rank to have a uniform [[shape]]. This means that fills may be used by any primitive function which can produce differently-shaped result cells in a single application. A notable example is [[Unbox]], which behaves like the nested Mix because of this feature of function rank. | ||
== External links == | |||
=== Documentation === | |||
* [https://help.dyalog.com/latest/index.htm#Language/Introduction/Variables/Prototypes%20and%20Fill%20Items.htm Dyalog] | |||
{{APL features}}[[Category:Function characteristics]] | |||