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Scalar function: Difference between revisions
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A scalar function is one of a class of primitive | A '''scalar function''' is one of a class of [[primitive function]]s that apply to [[argument]]s one [[element]] at a time. [[Dyadic]] scalar functions pair elements of their arguments based on [[conformability]] rules, and thus are subject to [[scalar extension]]. In [[Nested array model|nested]] array languages, scalar functions [[pervasion|pervade]] any [[nested array]]s by [[recursion|recursively]] descending into them until reaching [[simple scalars]]; in [[Flat array model|flat]] array languages they usually do not apply inside [[boxes]]. | ||
Only a particular [[valence]] of a function is labelled "scalar". The scalar monad [[Not]] usually shares the glyph <source lang=apl inline>~</source> with non-scalar dyad [[Without]], and similarly scalar [[Roll]] and non-scalar [[Deal]] are both written <source lang=apl inline>?</source>. | Only a particular [[valence]] of a function is labelled "scalar". The scalar monad [[Not]] usually shares the glyph <source lang=apl inline>~</source> with non-scalar dyad [[Without]], and similarly scalar [[Roll]] and non-scalar [[Deal]] are both written <source lang=apl inline>?</source>. | ||
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| || <source lang=apl inline>≥</source> || [[Greater than or equal to]] | | || <source lang=apl inline>≥</source> || [[Greater than or equal to]] | ||
|- | |- | ||
| || <source lang=apl inline>></source> || [[ | | || <source lang=apl inline>></source> || [[Greater than]] | ||
|- | |- | ||
| || <source lang=apl inline>≠</source> || [[Not equal to]] | | || <source lang=apl inline>≠</source> || [[Not equal to]] | ||
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== Additional scalar functions == | == Additional scalar functions == | ||
Very few additional scalar functions have been added later: | Very few additional scalar functions have been added later in various dialects: | ||
{| class=wikitable | {| class=wikitable | ||
! Monadic function !! Glyph !! Dyadic function | ! Monadic function !! Glyph !! Dyadic function | ||
|- | |- | ||
| [[Square | | [[Square Root]] || <source lang=apl inline>√</source> || [[Nth Root]] | ||
|- | |- | ||
| [[Type]] || <source lang=apl inline>∊</source> || | | [[Type]] || <source lang=apl inline>∊</source> or <source lang=apl inline>⊤</source> || | ||
|- | |||
| || <source lang=apl inline>∧</source> || [[Lowest Common Multiple]] (LCM) | |||
|- | |||
| || <source lang=apl inline>∨</source> || [[Greatest Common Divisor]] (GCD) | |||
|- | |- | ||
|} | |} | ||
== External links == | |||
* [https://www.sacrideo.us/apl-a-day-7-scalar-functions/ Scalar Functions] (part of [https://www.sacrideo.us/tag/apl-a-day/ APL a Day]) | |||
* [https://forums.dyalog.com/viewtopic.php?f=30&t=1621 Scalar functions] by [[Roger Hui]] | |||
{{APL | {{APL features}}[[Category:Kinds of functions]][[Category:Scalar functions| ]] | ||