Function array: Difference between revisions
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A '''function array''', or '''fnarray''', is a value that is conceptually an [[array]] of [[function]]s. It can be applied to [[argument]]s, which applies each function independently and gives an array of results. Several languages that don't ordinarily support placing a function in an array have function arrays as a special construct: [[Dyalog APL]], [[dzaima/APL]], and [[Nial]], which uses the name "atlas". | A '''function array''', or '''fnarray''', is a value that is conceptually an [[array]] of [[function]]s. It can be applied to [[argument]]s, which applies each function independently and gives an array of results. Several languages that don't ordinarily support placing a function in an array have function arrays as a special construct: [[Dyalog APL]], [[dzaima/APL]], and [[Nial]], which uses the name "atlas". | ||
In dzaima/APL and Nial function arrays are constructed by the vector form of [[array notation]], allowing only rank-1 function arrays. In Dyalog APL they can be produced by taking a | In dzaima/APL and Nial function arrays are constructed by the vector form of [[array notation]], allowing only rank-1 function arrays. In Dyalog APL they can be produced by taking a member of an array of [[namespace]]s that all contain that member, each with its own function value. <source lang=apl inline>fnarray</source> in the [[dfns workspace]] wraps this functionality in an operator.<ref>[[Dfns workspace]]. [https://dfns.dyalog.com/n_fnarray.htm <source lang=apl inline>fnarray</source>] ― Array of functions.</ref> | ||
The [[wikipedia:FP (programming language)|FP]] language features a "function composition" construction that applies like a function array. In the [[I]] language, which has first-class functions, lists may be applied to arguments, and apply each element independently, so that a list of functions also behaves like a function array. | The [[wikipedia:FP (programming language)|FP]] language features a "function composition" construction that applies like a function array. In the [[I]] language, which has first-class functions, lists may be applied to arguments, and apply each element independently, so that a list of functions also behaves like a function array. | ||
Revision as of 10:40, 22 August 2022
A function array, or fnarray, is a value that is conceptually an array of functions. It can be applied to arguments, which applies each function independently and gives an array of results. Several languages that don't ordinarily support placing a function in an array have function arrays as a special construct: Dyalog APL, dzaima/APL, and Nial, which uses the name "atlas".
In dzaima/APL and Nial function arrays are constructed by the vector form of array notation, allowing only rank-1 function arrays. In Dyalog APL they can be produced by taking a member of an array of namespaces that all contain that member, each with its own function value. fnarray in the dfns workspace wraps this functionality in an operator.[1]
The FP language features a "function composition" construction that applies like a function array. In the I language, which has first-class functions, lists may be applied to arguments, and apply each element independently, so that a list of functions also behaves like a function array.
References
- ↑ Dfns workspace.
fnarray― Array of functions.
| APL features [edit] | |
|---|---|
| Built-ins | Primitives (functions, operators) ∙ Quad name |
| Array model | Shape ∙ Rank ∙ Depth ∙ Bound ∙ Index (Indexing) ∙ Axis ∙ Ravel ∙ Ravel order ∙ Element ∙ Scalar ∙ Vector ∙ Matrix ∙ Simple scalar ∙ Simple array ∙ Nested array ∙ Cell ∙ Major cell ∙ Subarray ∙ Empty array ∙ Prototype |
| Data types | Number (Boolean, Complex number) ∙ Character (String) ∙ Box ∙ Namespace ∙ Function array |
| Concepts and paradigms | Conformability (Scalar extension, Leading axis agreement) ∙ Scalar function (Pervasion) ∙ Identity element ∙ Complex floor ∙ Array ordering (Total) ∙ Tacit programming (Function composition, Close composition) ∙ Glyph ∙ Leading axis theory ∙ Major cell search |
| Errors | LIMIT ERROR ∙ RANK ERROR ∙ SYNTAX ERROR ∙ DOMAIN ERROR ∙ LENGTH ERROR ∙ INDEX ERROR ∙ VALUE ERROR ∙ EVOLUTION ERROR |