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[[File:Matrix_transpose.gif|256px|right|thumb|Matrix transposition]] |
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+("ab";"cd";"ef") |
+("ab";"cd";"ef") |
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("ace" |
("ace" |
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"bdf") |
"bdf") |
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Atoms in otherwise rectangular arrays are extended to the full length of the corresponding dimension: |
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+(`a`b`c;`d) |
+(`a`b`c;`d) |
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(`a`d |
(`a`d |
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`c`d) |
`c`d) |
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== |
==Atoms and lists== |
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⚫ | |||
+,0 |
+,0 |
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,,0 |
,,0 |
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+0 |
+0 |
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,,0 |
,,0 |
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K3, K4, and Kona<ref>https://github.com/kevinlawler/kona/issues/527</ref> return the argument as-is. |
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K4 and Kona return the argument as-is. |
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K9 throws a rank error. |
K9 throws a rank error. |
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==Ragged arrays== |
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oK and ngn/k reshape shorter rows to the length of the longest row: |
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+(`a`b`c;`d`e) |
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(`a`d |
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`b`e |
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`c`d) |
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K9 pads shorter rows with nulls: |
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+(`a`b`c;`d`e) |
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(`a`d |
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`b`e |
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`c`) |
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[[Category:Verbs]] |
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[[Category:Operator verbs]] |
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[[Category:Primitives]] |
Latest revision as of 07:59, 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[edit]
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[edit]
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`)