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Dyadic function: Difference between revisions
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Miraheze>Marshall (Created page with ":''For operators with two operands, see Dyadic operator.'' A '''dyadic function''' is a function with two arguments, one on the left and one on the right. It...") |
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:''For [[operator]]s with two operands, see [[Dyadic operator]].'' | :''For [[operator]]s with two operands, see [[Dyadic operator]].'' | ||
A '''dyadic function''' is a [[function]] with two [[argument]]s, one on the left and one on the right. It is one of three possible function [[ | A '''dyadic function''' is a [[function]] with two [[argument]]s, one on the left and one on the right. It is one of three possible function [[valence]]s; the other two are [[monadic]] and [[niladic]]. The term '''infix function''' or infix operator is used outside of APL to describe APL's dyadic function syntax. | ||
In APL, a single function can be both monadic and dyadic; such a function is called [[ambivalent]] or sometimes variadic. Function pages on the APL Wiki usually only describe one valence of an ambivalent function because the connection between the two may not be consistent across languages. In this case the function is described as dyadic even though it may only be half of an ambivalent function. | In APL, a single function can be both monadic and dyadic; such a function is called [[ambivalent]] or sometimes variadic. Function pages on the APL Wiki usually only describe one valence of an ambivalent function because the connection between the two may not be consistent across languages. In this case the function is described as dyadic even though it may only be half of an ambivalent function. | ||
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Going from left | Going from right to left, the first function to be evaluated is [[Take]] (<source lang=apl inline>↑</source>), a [[primitive function]], followed by the [[derived function]] <source lang=apl inline>-⍨</source> ([[Minus]] [[Commute]]). This sequence extends the [[scalar]] 4 to a [[vector]] <source lang=apl inline>4 0 0</source>, and then subtracts 1. | ||
Dyadic functions in APL are designed so that the right argument is primary and the left secondary. Often the right argument consists of data to be manipulated while the left controls how it is modified. For example, in [[Reshape]], the right argument contains data while the left contains a new [[shape]] for it—arguably metadata. This pattern is used because of APL's right-to-left evaluation. It improves control flow by making the left argument shorter more of the time. This reduces the need for parentheses and allows a reader to scan an expression from right to left all at once, without jumping back and forth. When a function does not fit this pattern (such a mismatch can happen with [[Squad]], in which either argument might be considered primary depending on context), the [[Commute]] operator can be used to change it so that it does. | Dyadic functions in APL are designed so that the right argument is primary and the left secondary. Often the right argument consists of data to be manipulated while the left controls how it is modified. For example, in [[Reshape]], the right argument contains data while the left contains a new [[shape]] for it—arguably metadata. This pattern is used because of APL's right-to-left evaluation. It improves control flow by making the left argument shorter more of the time. This reduces the need for parentheses and allows a reader to scan an expression from right to left all at once, without jumping back and forth. When a function does not fit this pattern (such a mismatch can happen with [[Squad]], in which either argument might be considered primary depending on context), the [[Commute]] operator can be used to change it so that it does. | ||
{{APL | == External links == | ||
* [http://wiki.nars2000.org/index.php/Dyadic NARS2000] | |||
{{APL syntax}}[[Category:Kinds of functions]] | |||