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Function axis

148 bytes added, 02:20, 4 November 2019
In many APLs the behavior of a function may be modified using bracket notation, for example <source lang=apl inline>⌽[2]</source> to [[Rotate]] along the second [[axis]]. Axis specification was a feature of [[Iverson notation]] and was ubiquitous in early APLs; many newer APLs which adhere to [[leading axis theory]] reject the use of axis specification in favor of the [[Rank operator]] because it is a fully general operator while the behavior of functions with axis must be defined for each function separately.
== Functions with Axis ===== Monadic functions ===
The following [[Monadic function|monads]] may allow an axis:
* [[Mix]] accepts a list of axes to specify where the axes of argument elements will be placed in the result.
* [[Split]] accepts a single axis, and encloses each [[vector]] along that axis.
* [[Reverse]] reverses along the specified axis.
=== Dyadic functions ===
The following [[Dyadic function|dyads]] may allow one:
* [[Scalar dyadics]] accept a list of axes to override [[conformability]] rules: it specifies , for each axis in the lower-rank (or left, in case of a tie) argument, which axis in the other argument it is paired with.
* [[Partition]] and [[Partitioned Enclose]] have complicated and different behavior.
Additionally, == Operators ==The following [[operator]]s may admit axis specification:* [[reductionReduction]] and removes the specified right argument axis.* [[scanScan]] operators may admit works on the specified right argument axis specification.  In [[Dyalog APL]], a slash with axis retains its [[function-operator overloading]]: it can be applied as an operator or as a dyadic function ([[Replicate]] or [[Expand]]). 
{{APL programming language}}

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