Mixed function: Difference between revisions
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A '''mixed function''' is one of a class of [[primitive function]]s that consider their entire [[argument]]s rather than treating each [[element]] at a time. The exact parts of an argument that is considered as a unit, varies per function, rather than adhering to a general rule. Hence the name "mixed" as in a "mixed bag" of functions. This is opposed to [[scalar function]]s which are defined in terms of operations on [[simple scalar]]s. | A '''mixed function''' is one of a class of [[primitive function]]s that consider their entire [[argument]]s rather than treating each [[element]] at a time. The exact parts of an argument that is considered as a unit, varies per function, rather than adhering to a general rule. Hence the name "mixed" as in a "mixed bag" of functions. This is opposed to [[scalar function]]s which are defined in terms of operations on [[simple scalar]]s. | ||
For example, while [[Equal]] (<source lang=apl inline>=</ | For example, while [[Equal]] (<source lang=apl inline>=</syntaxhighlight>) is a scalar function in that it compares (corresponding) elements, [[Match]] (<source lang=apl inline>≡</syntaxhighlight>) gives a single result which indicates if the arguments, as wholes, are identical. | ||
== External links == | == External links == | ||
Revision as of 21:01, 10 September 2022
A mixed function is one of a class of primitive functions that consider their entire arguments rather than treating each element at a time. The exact parts of an argument that is considered as a unit, varies per function, rather than adhering to a general rule. Hence the name "mixed" as in a "mixed bag" of functions. This is opposed to scalar functions which are defined in terms of operations on simple scalars.
For example, while Equal (<source lang=apl inline>=</syntaxhighlight>) is a scalar function in that it compares (corresponding) elements, Match (<source lang=apl inline>≡</syntaxhighlight>) gives a single result which indicates if the arguments, as wholes, are identical.
External links
- Mixed Functions in Dyalog APL documentation
| 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 ∙ First-class function |
| Errors | LIMIT ERROR ∙ RANK ERROR ∙ SYNTAX ERROR ∙ DOMAIN ERROR ∙ LENGTH ERROR ∙ INDEX ERROR ∙ VALUE ERROR ∙ EVOLUTION ERROR |