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{{Built-in|Bind|∘}} is a [[primitive operator]]. It shares the glyph <source lang=apl inline>∘</source> with [[Beside]]. It's [[derived function]]s can only be called monadically.
{{Built-in|Bind|∘}} is a [[primitive operator]]. It shares the glyph [[Jot]] (<syntaxhighlight lang=apl inline>∘</syntaxhighlight>) with [[Beside]]; in many dialects the two operators share the name [[Compose]]. <syntaxhighlight lang=apl inline>∘</syntaxhighlight> 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∘f) X</source> is equivalent to <source lang=apl inline>A f X</source>.
Called with an array left operand <syntaxhighlight lang=apl inline>A</syntaxhighlight> and function right operand <syntaxhighlight lang=apl inline>g</syntaxhighlight>, <syntaxhighlight lang=apl inline>(A∘g) X</syntaxhighlight> is equivalent to <syntaxhighlight lang=apl inline>A g X</syntaxhighlight>.


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</syntaxhighlight> and array right operand <syntaxhighlight lang=apl inline>B</syntaxhighlight>, <syntaxhighlight lang=apl inline>(f∘B) X</syntaxhighlight> is equivalent to <syntaxhighlight lang=apl inline>X f B</syntaxhighlight>.


== 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
2 3 4
2 3 4
</source>
</syntaxhighlight>


== External links ==
== External links ==
Line 19: Line 19:


=== Documentation ===
=== Documentation ===
* [http://help.dyalog.com/18.0/#Language/Primitive%20Operators/Bind.htm Dyalog]
* [https://help.dyalog.com/latest/#Language/Primitive%20Operators/Bind.htm Dyalog]
* [https://mlochbaum.github.io/BQN/doc/hook.html BQN] (uses [[hook]])




{{APL built-ins}}
{{APL built-ins}}[[Category:Primitive operators]][[Category:Composition operators]]

Latest revision as of 10:57, 6 October 2022

∘

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

Called with an array left operand A and function right operand g, (A∘g) X is equivalent to A g X.

Called with a function left operand f and array right operand B, (f∘B) X is equivalent to X f B.

Common usage

Bind is used to create a derived function with a single constant argument, particularly in tacit programming:

Try it online!

      Inc←+∘1
      Inc 1 2 3
2 3 4

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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