Compose: Difference between revisions
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{{Built-in|Compose|∘}} or '''Composition''' is the most common name for the [[primitive operator|primitive]] [[dyadic operator]] denoted with a [[Jot]] (< | {{Built-in|Compose|∘}} or '''Composition''' is the most common name for the [[primitive operator|primitive]] [[dyadic operator]] denoted with a [[Jot]] (<syntaxhighlight lang=apl inline>∘</source>) introduced by [[NARS]] and included in the [[Dyalog APL]] family. On the APL Wiki, Compose is divided into its two cases, [[Beside]] when both [[operand]]s are [[function]]s, and [[Bind]] when one is a function and the other an [[array]]. | ||
{{quote|Composition assembles functions and arguments to form derived functions. This provides the glue with which to put together functions and arguments so that operator's arguments can be more complex than single functions.<ref>Carl M. Cheney. ''APL*PLUS Nested Arrays System'' ([[NARS]] reference manual). [[STSC]]. 1981.</ref>}} | {{quote|Composition assembles functions and arguments to form derived functions. This provides the glue with which to put together functions and arguments so that operator's arguments can be more complex than single functions.<ref>Carl M. Cheney. ''APL*PLUS Nested Arrays System'' ([[NARS]] reference manual). [[STSC]]. 1981.</ref>}} | ||
In [[Ken Iverson]]'s designs [[Rationalized APL]], [[A Dictionary of APL]], and the [[J]] language, the composition (< | In [[Ken Iverson]]'s designs [[Rationalized APL]], [[A Dictionary of APL]], and the [[J]] language, the composition (<syntaxhighlight lang=apl inline>⍤</source>) or Compose (<syntaxhighlight lang=j inline>&</source>) refers to a different kind of composition, the [[Over]] operator. | ||
More recently, the term "[[function composition|composition]]" is used in [[Dyalog APL]] to refer to any of a family of operators including [[Beside]] and [[Bind]] (< | More recently, the term "[[function composition|composition]]" is used in [[Dyalog APL]] to refer to any of a family of operators including [[Beside]] and [[Bind]] (<syntaxhighlight lang=apl inline>∘</source>), [[Commute]] and [[Constant]] (<syntaxhighlight lang=apl inline>⍨</source>), [[Atop]] (<syntaxhighlight lang=apl inline>⍤</source>), and [[Over]] (<syntaxhighlight lang=apl inline>⍥</source>).<ref>[[Marshall Lochbaum]]. [https://dyalog.tv/Dyalog19/?v=czWC4tjwzOQ Tacit Techniques with Dyalog version 18.0 Operators] ([https://www.dyalog.com/uploads/conference/dyalog19/presentations/D04_Tacit_Techniques.zip slides]) at [[Dyalog '19]].</ref> [[Extended Dyalog APL]] and [[dzaima/APL]] add to this list the operators [[Under]] (<syntaxhighlight lang=apl inline>⍢</source>) and [[Reverse Compose]] (<syntaxhighlight lang=apl inline>⍛</source>). | ||
== References == | == References == | ||
<references /> | <references /> | ||
{{APL built-ins}}[[Category:Primitive operators]][[Category:Composition operators]] | {{APL built-ins}}[[Category:Primitive operators]][[Category:Composition operators]] | ||