Transpose: Difference between revisions

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[[File:Matrix_transpose.gif|256px|right|thumb|Matrix transposition]]
[[File:Matrix_transpose.gif|256px|right|thumb|Matrix transposition]]

Revision as of 02:03, 9 July 2022

Transpose
+x
Matrix transposition

Transpose, a.k.a. flip, swaps the two leading axes of a 2+ dimensional rectangular array. Dialects differ in their treatment of atoms, lists, and ragged arrays.

 +("ab";"cd";"ef")
("ace"
 "bdf")

Atoms in otherwise rectangular arrays are extended to the full length of the corresponding dimension:

 +(`a`b`c;`d)
(`a`d
 `b`d
 `c`d)

Atoms and lists

Transposing a list in oK or ngn/k enlists it. Transposing an atom enlists twice[1]:

 +,0
,,0
 +0
,,0

K3, K4, and Kona[2] return the argument as-is.

K9 throws a rank error.

Ragged arrays

oK and ngn/k reshape shorter rows to the length of the longest row:

 +(`a`b`c;`d`e)
(`a`d
 `b`e
 `c`d)

K9 pads shorter rows with nulls:

 +(`a`b`c;`d`e)
(`a`d
 `b`e
 `c`)