Difference between revisions of "Pair"

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{{Built-in|Pair|⍮}} is a [[primitive function]] equivalent to the [[dfn]] <source lang=apl inline>{⍺←,⊂ ⋄ ⍺ ⍵}</source> which aids in constructing nested arrays during [[tacit programming]] where [[stranding]] by juxtaposition is not available. It is also equivalent to <source lang=apl inline>,⍥⊂</source> using the [[Over operator]] or <source lang=apl inline>,⍨∘⊂⍨∘⊂</source> using only traditional operators. It was introduced in [[Extended Dyalog APL]], and then adopted into [[dzaima/APL]].
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{{Built-in|Pair|⍮}} or '''Juxtapose''' is a [[primitive function]] equivalent to the [[dfn]] <source lang=apl inline>{⍺←,⊂ ⋄ ⍺ ⍵}</source> which aids in constructing nested arrays during [[tacit programming]] where [[stranding]] by juxtaposition is not available. It is also equivalent to <source lang=apl inline>,⍥⊂</source> using the [[Over operator]] or <source lang=apl inline>,⍨∘⊂⍨∘⊂</source> using only traditional operators. It was introduced in [[Extended Dyalog APL]], and then adopted into [[dzaima/APL]].
  
 
== Common usage ==
 
== Common usage ==

Revision as of 08:45, 9 July 2020

Pair () or Juxtapose is a primitive function equivalent to the dfn {,⊂ } which aids in constructing nested arrays during tacit programming where stranding by juxtaposition is not available. It is also equivalent to , using the Over operator or ,⍨∘⍨∘ using only traditional operators. It was introduced in Extended Dyalog APL, and then adopted into dzaima/APL.

Common usage

Its plain usage is in pairing up two parallel values:

Try it online!

      6 7 8(+-)3
┌───────┬─────┐
9 10 113 4 5
└───────┴─────┘

It can also be combined with Mix to increase rank rather than depth:

Try it online!

      6 7 8(+↑-)3
9 10 11
3  4  5


APL built-ins [edit]
Primitive functions
Scalar
Monadic ConjugateNegateSignumReciprocalMagnitudeExponentialNatural LogarithmFloorCeilingFactorialNotPi TimesRollTypeImaginarySquare Root
Dyadic AddSubtractTimesDivideResiduePowerLogarithmMinimumMaximumBinomialComparison functionsBoolean functions (And, Or, Nand, Nor) ∙ GCDLCMCircularComplexRoot
Non-Scalar
Structural ShapeReshapeTallyDepthRavelEnlistTableCatenateReverseRotateTransposeRazeMixSplitEncloseNestCut (K)PairLinkPartitioned EnclosePartition
Selection FirstPickTakeDropUniqueIdentitySelectReplicateExpandSet functions (IntersectionUnionWithout) ∙ Bracket indexingIndex
Selector Index generatorGradeIndex OfInterval IndexIndicesDeal
Computational MatchNot MatchMembershipFindNub SieveEncodeDecodeMatrix InverseMatrix DivideFormatExecuteMaterialiseRange
Primitive operators Monadic EachCommuteConstantReplicateExpandReduceWindowed ReduceScanOuter ProductKeyI-beamSpawnFunction axis
Dyadic BindCompositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner ProductPowerAtUnderRankDepthVariantStencilCut (J)
Quad names
Arrays Index originMigration levelAtomic vector
Functions Name classCase convertUnicode convert
Operators SearchReplace