Difference between revisions of "Reverse Compose operator"

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(Created page with "{{Built-in|Reverse compose|⍛}}, also known as '''Before''', is a primitive operator closely related to Compose (<source lang=apl inline>∘</source>...")
m (Adám Brudzewsky moved page Reverse compose to Reverse Compose operator: conventions)
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Revision as of 14:28, 12 February 2020

Reverse compose (), also known as Before, is a primitive operator closely related to Compose (), also known as After. Called dyadically with function operands f and g, it uses f monadically to pre-processes the left argument before applying g between the pre-processed left argument and the given right argument. X fg Y is thus equivalent to (f X) g Y. The operator can be defined as the dop {(⍺⍺ ) ⍵⍵ }. Reverse compose was introduced in Extended Dyalog APL, and then adopted into dzaima/APL.

Common usage

Its plain usage is to pre-process left arguments without needing one or more applications of Commute (). For example, the square of the left argument minus the right argument can be expressed as:

Try it online!


It can also be combined with Compose to create the split-compose construct. Here, we take the sign of the left argument and apply it to the absolute value of the right argument:

Try it online!

      3 ¯1 4××|¯2 ¯7 1
2 ¯7 1
APL built-ins [edit]
Primitive functions
Monadic ConjugateNotRollType
Dyadic AddSubtractEqual to (Xnor) ∙ Not Equal to (Xor)
Structural ShapeReshapeTallyDepthRavelReverseRazeMixCut (K)Pair
Selection TakeDropUniqueIdentitySelect
Selector Interval Index
Computational MatchNot MatchNub SieveFormatExecute
Primitive operators EachReverse Compose
Quad names
Arrays Index originMigration level
Other ZildeHigh minusFunction axis