Partitioned Enclose
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⊂
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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.
In the simplest case, and on a vector right argument, the corresponding element in the left argument indicates where divisions begin:
1 0 1 0 0 0 0⊂'HiEarth'
┌──┬─────┐
│Hi│Earth│
└──┴─────┘
Works in: Dyalog APL
Almost all dialects restrict the left argument to provide only this functionality. However, the left argument can be interpreted as a count of how many partitions begin with a particular position:
2 0 3 0 0 0 0⊂'HiEarth'
┌┬──┬┬┬─────┐
││Hi│││Earth│
└┴──┴┴┴─────┘
Additional trailing empty divisions are thus created by adding an additional division count corresponding to the position beyond the end of the right argument:
1 0 1 0 0 0 0 1⊂'HiEarth'
┌──┬─────┬┐
│Hi│Earth││
└──┴─────┴┘
This interpretation allows a simple definition of a split-into-lengths function:
Split←{⍵ ⊂⍨ ⍸⍣¯1 +\ ¯1↓1,⍺}
3 3 4 Split 'HowAreYou?'
┌───┬───┬────┐
│How│Are│You?│
└───┴───┴────┘
Works in: Extended Dyalog APL