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{{Built-in|Bind|∘}} is a [[primitive operator]]. It shares the glyph [[Jot]] (<source lang=apl inline>∘</source>) with [[Beside]]; in many dialects the two operators share the name [[Compose]]. <source lang=apl inline>∘</source> means Bind if any [[operand]] is an [[array]]. Its [[derived function]]s can only be called monadically.
{{Built-in|Bind|∘}} is a [[primitive operator]]. It shares the glyph [[Jot]] (<syntaxhighlight lang=apl inline>∘</source>) with [[Beside]]; in many dialects the two operators share the name [[Compose]]. <syntaxhighlight lang=apl inline>∘</source> means Bind if any [[operand]] is an [[array]]. Its [[derived function]]s can only be called monadically.


Called with an array left operand <source lang=apl inline>A</source> and function right operand <source lang=apl inline>g</source>, <source lang=apl inline>(A∘g) X</source> is equivalent to <source lang=apl inline>A g X</source>.
Called with an array left operand <syntaxhighlight lang=apl inline>A</source> and function right operand <syntaxhighlight lang=apl inline>g</source>, <syntaxhighlight lang=apl inline>(A∘g) X</source> is equivalent to <syntaxhighlight lang=apl inline>A g X</source>.


Called with a function left operand <source lang=apl inline>f</source> and array right operand <source lang=apl inline>B</source>, <source lang=apl inline>(f∘B) X</source> is equivalent to <source lang=apl inline>X f B</source>.
Called with a function left operand <syntaxhighlight lang=apl inline>f</source> and array right operand <syntaxhighlight lang=apl inline>B</source>, <syntaxhighlight lang=apl inline>(f∘B) X</source> is equivalent to <syntaxhighlight lang=apl inline>X f B</source>.


== Common usage ==
== Common usage ==
Bind is used to create a derived function with a single constant argument, particularly in [[tacit programming]]:
Bind is used to create a derived function with a single constant argument, particularly in [[tacit programming]]:
[https://tio.run/##SyzI0U2pTMzJT///3zMv@VHbBO1HHTMMuR71TQWygSIKhgpGCsb//wMA Try it online!]<source lang=apl>
[https://tio.run/##SyzI0U2pTMzJT///3zMv@VHbBO1HHTMMuR71TQWygSIKhgpGCsb//wMA Try it online!]<syntaxhighlight lang=apl>
       Inc←+∘1
       Inc←+∘1
       Inc 1 2 3
       Inc 1 2 3

Revision as of 21:31, 10 September 2022

∘

Bind (∘) is a primitive operator. It shares the glyph Jot (<syntaxhighlight lang=apl inline>∘</source>) with Beside; in many dialects the two operators share the name Compose. <syntaxhighlight lang=apl inline>∘</source> means Bind if any operand is an array. Its derived functions can only be called monadically.

Called with an array left operand <syntaxhighlight lang=apl inline>A</source> and function right operand <syntaxhighlight lang=apl inline>g</source>, <syntaxhighlight lang=apl inline>(A∘g) X</source> is equivalent to <syntaxhighlight lang=apl inline>A g X</source>.

Called with a function left operand <syntaxhighlight lang=apl inline>f</source> and array right operand <syntaxhighlight lang=apl inline>B</source>, <syntaxhighlight lang=apl inline>(f∘B) X</source> is equivalent to <syntaxhighlight lang=apl inline>X f B</source>.

Common usage

Bind is used to create a derived function with a single constant argument, particularly in tacit programming: Try it online!<syntaxhighlight lang=apl> 

     Inc←+∘1
     Inc 1 2 3

2 3 4 </source>

External links

Lessons

Documentation


APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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