Conformability: Difference between revisions

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103 bytes added ,  22:45, 6 July 2023
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Correction: result shape of (f⍤l r) is result shape (not rank) of f appended to the final frame. Also use code to make the expression clearer.
m (Categories)
m (Correction: result shape of (f⍤l r) is result shape (not rank) of f appended to the final frame. Also use code to make the expression clearer.)
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== Frame conformability ==
== Frame conformability ==


The [[Rank operator]] and [[function rank]] check for conformability not on the entire [[shape]]s of arguments, but only on their [[frame]]s. The same procedure applies to determine whether two frames conform, and if the function's result rank is known, then the result shape can be found by appending it to the shape obtained from conformability on the frames. Rather than copying [[elements]] of the extended argument to match the other one, [[cell]]s are copied.
The [[Rank operator]] and [[function rank]] check for conformability not on the entire [[shape]]s of arguments, but only on their [[frame]]s. The same procedure applies to determine whether two frames conform, and if <syntaxhighlight lang=apl inline>f</syntaxhighlight>'s result shape is known, then the result shape of <syntaxhighlight lang=apl inline>f⍤l r</syntaxhighlight> can be found by appending it to the shape obtained from conformability on the frames. Rather than copying [[elements]] of the extended argument to match the other one, [[cell]]s are copied.


No language uses [[singleton extension]] for frame conformability: [[SHARP APL]] and [[J]] do not implement singleton extension, and [[Dyalog APL]] and [[A+]] have singleton extension for scalar dyadics but not for Rank. Of these, [[J]] and [[A+]] use [[leading axis agreement]] while SHARP and Dyalog use only empty-frame extension, the equivalent of scalar extension.
No language uses [[singleton extension]] for frame conformability: [[SHARP APL]] and [[J]] do not implement singleton extension, and [[Dyalog APL]] and [[A+]] have singleton extension for scalar dyadics but not for Rank. Of these, [[J]] and [[A+]] use [[leading axis agreement]] while SHARP and Dyalog use only empty-frame extension, the equivalent of scalar extension.
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