Partitioned Enclose: Difference between revisions
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== Basic functionality == | == Basic functionality == | ||
In the simplest case, and on a vector right argument, the corresponding element in the left argument indicates where '''divisions''' begin: | In the simplest case, and on a vector right argument, the corresponding element in the left argument indicates where '''divisions''' begin: | ||
< | <syntaxhighlight lang=apl> | ||
1 0 1 0 0 0 0⊂'HiEarth' | 1 0 1 0 0 0 0⊂'HiEarth' | ||
┌──┬─────┐ | ┌──┬─────┐ | ||
| Line 11: | Line 11: | ||
== Non-Boolean left argument == | == Non-Boolean left argument == | ||
Almost all dialects restrict the left argument to provide only the above functionality. However, the left argument can be interpreted as a count of how many partitions begin with a particular position: | Almost all dialects restrict the left argument to provide only the above functionality. However, the left argument can be interpreted as a count of how many partitions begin with a particular position: | ||
< | <syntaxhighlight lang=apl> | ||
2 0 3 0 0 0 0⊂'HiEarth' | 2 0 3 0 0 0 0⊂'HiEarth' | ||
┌┬──┬┬┬─────┐ | ┌┬──┬┬┬─────┐ | ||
| Line 19: | Line 19: | ||
== Short left argument == | == Short left argument == | ||
The dialects that support this extension also allow omission of trailing zeros, which is useful if the partitioning vector is generated by [[indices#Inverse|where's inverse]]: | The dialects that support this extension also allow omission of trailing zeros, which is useful if the partitioning vector is generated by [[indices#Inverse|where's inverse]]: | ||
< | <syntaxhighlight lang=apl> | ||
⍸⍣¯1⊢1 1 3 3 3 | ⍸⍣¯1⊢1 1 3 3 3 | ||
2 0 3 | 2 0 3 | ||
| Line 29: | Line 29: | ||
== Long left argument == | == Long left argument == | ||
Additional trailing empty divisions are created by adding an additional division count corresponding to the position beyond the end of the right argument: | Additional trailing empty divisions are created by adding an additional division count corresponding to the position beyond the end of the right argument: | ||
< | <syntaxhighlight lang=apl> | ||
1 0 1 0 0 0 0 1⊂'HiEarth' | 1 0 1 0 0 0 0 1⊂'HiEarth' | ||
┌──┬─────┬┐ | ┌──┬─────┬┐ | ||
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[https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn/qLdP/VHf1GBXvZRHbROqNQxtH3UufNS7S/NRx/JHvWvAnC1AvhVQEVABkJWSVqJg8Ki7BSKQkllcABSshQgAjdEAUuHB6uquZal5JerqGurqwanFxZn5eQFFmSABBXX1FHV1zUddi4EKnSOBvLS8YqCA@v/ggpzMEpAjHvVuVXjU1fSod4XCo94dj3oXH1pvqKAdowCkHrVNNtQB2ff/v7GCsYKJAliTgrpHfrljUWpkfqm9OgA Try it online!] | [https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn/qLdP/VHf1GBXvZRHbROqNQxtH3UufNS7S/NRx/JHvWvAnC1AvhVQEVABkJWSVqJg8Ki7BSKQkllcABSshQgAjdEAUuHB6uquZal5JerqGurqwanFxZn5eQFFmSABBXX1FHV1zUddi4EKnSOBvLS8YqCA@v/ggpzMEpAjHvVuVXjU1fSod4XCo94dj3oXH1pvqKAdowCkHrVNNtQB2ff/v7GCsYKJAliTgrpHfrljUWpkfqm9OgA Try it online!] | ||
< | <syntaxhighlight lang=apl> | ||
Split←{⍵ ⊂⍨ ⍸⍣¯1 +\ ¯1↓1,⍺} | Split←{⍵ ⊂⍨ ⍸⍣¯1 +\ ¯1↓1,⍺} | ||
3 3 4 Split 'HowAreYou?' | 3 3 4 Split 'HowAreYou?' | ||
Revision as of 21:40, 10 September 2022
⊂
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Partitioned Enclose (⊂) is a dyadic function which splits its right argument into differently sized pieces as determined by the left argument.
Basic functionality
In the simplest case, and on a vector right argument, the corresponding element in the left argument indicates where divisions begin: <syntaxhighlight lang=apl>
1 0 1 0 0 0 0⊂'HiEarth'
┌──┬─────┐ │Hi│Earth│ └──┴─────┘ </source>
Non-Boolean left argument
Almost all dialects restrict the left argument to provide only the above functionality. However, the left argument can be interpreted as a count of how many partitions begin with a particular position: <syntaxhighlight lang=apl>
2 0 3 0 0 0 0⊂'HiEarth'
┌┬──┬┬┬─────┐ ││Hi│││Earth│ └┴──┴┴┴─────┘ </source>
Short left argument
The dialects that support this extension also allow omission of trailing zeros, which is useful if the partitioning vector is generated by where's inverse: <syntaxhighlight lang=apl>
⍸⍣¯1⊢1 1 3 3 3
2 0 3
2 0 3⊂'HiEarth'
┌┬──┬┬┬─────┐ ││Hi│││Earth│ └┴──┴┴┴─────┘ </source>
Long left argument
Additional trailing empty divisions are created by adding an additional division count corresponding to the position beyond the end of the right argument: <syntaxhighlight lang=apl>
1 0 1 0 0 0 0 1⊂'HiEarth'
┌──┬─────┬┐ │Hi│Earth││ └──┴─────┴┘ </source>
Split into lengths
This above extensions allow a simple definition of a split-into-lengths function:
Try it online! <syntaxhighlight lang=apl>
Split←{⍵ ⊂⍨ ⍸⍣¯1 +\ ¯1↓1,⍺}
3 3 4 Split 'HowAreYou?'
┌───┬───┬────┐ │How│Are│You?│ └───┴───┴────┘ </source>