Beside: Difference between revisions

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== Examples ==
== Examples ==
When use [[monadic]]ally, <source lang=apl inline>f∘g</source> behaves the same as an [[atop]].
When used [[monadic]]ally, <source lang=apl inline>f∘g</source> behaves the same as an [[atop]]:


<source lang=apl>
<source lang=apl>
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</source>
</source>


When use [[dyadic]]ally,  
When used [[dyadic]]ally, <source lang=apl inline>f∘g</source> forms a dyadic [[hook]]:


<source lang=apl>
<source lang=apl>
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</source>
</source>


When used with [[Commute]], <source lang=apl inline>f∘g</source> forms a [[Hook]].
When used monadically with [[Commute]], <source lang=apl inline>f∘g</source> forms a monadic [[hook]]:
<source lang=apl>
<source lang=apl>
       ≡∘⌽⍨'UwU'
       ≡∘⌽⍨'UwU'
1
1
       ⍝ same as this, because operator is left-associative, unlike functions which is right-associative
       ⍝ same as this, because operators are left-associative, unlike functions which are right-associative
       'UwU'(≡∘⌽)⍨'UwU'
       'UwU'(≡∘⌽)⍨'UwU'
1
1

Revision as of 09:08, 6 September 2021

Beside (), Compose or After is a primitive operator. It shares the glyph with Bind. Called dyadically with function operands f and g, it uses g monadically to pre-processes the right argument before applying f to the given left argument and pre-processed right argument. Called monadically with operands f and g, it applies f to the result of applying g to the argument.

In usage, X fg Y is equivalent to X f g Y, and fg Y is equivalent to f g Y. Thus, beside can be defined as the dop { ⍺⍺ ⍵⍵ }.

Examples

When used monadically, fg behaves the same as an atop:

      -÷ 2 
¯0.5
      ⍝ same as
      -(÷2)
¯0.5

When used dyadically, fg forms a dyadic hook:

      'oy''yo'
1
      ⍝ same as
      'oy'≡⌽'yo'
1

When used monadically with Commute, fg forms a monadic hook:

      'UwU'
1
      ⍝ same as this, because operators are left-associative, unlike functions which are right-associative
      'UwU'()'UwU'
1
      ⍝ same as
      'UwU'≡⌽'UwU'
1

External links

Lessons

Documentation


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