Transpose: Difference between revisions
Content added Content deleted
m (Lowercase title) |
("Remove lowercase again - it is in the template now") Tag: Manual revert |
||
Line 1: | Line 1: | ||
{{lowercase title}} |
|||
{{primitive|+x}} |
{{primitive|+x}} |
||
[[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
![](https://upload.wikimedia.org/wikipedia/commons/e/e4/Matrix_transpose.gif)
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`)