Partitioned Enclose (⊂
) is a dyadic function which splits its right argument into differently sized pieces as determined by the non-negative integer[note 1] left argument.
On a vector right argument, the corresponding element in the left argument indicate how many[note 1] divisions to begin there:
1 0 1 0 0 0 0⊂'HiEarth'
┌──┬─────┐
│Hi│Earth│
└──┴─────┘
Empty divisions can be inserted by beginning more than 1 division at a particular index[note 2]:
2 0 3 0 0 0 0⊂'HiEarth'
┌┬──┬┬┬─────┐
││Hi│││Earth│
└┴──┴┴┴─────┘
Additional trailing empty divisions are created by adding an additional division count corresponding to the index beyond the end of the right argument[note 2]:
1 0 1 0 0 0 0 1⊂'HiEarth'
┌──┬─────┬┐
│Hi│Earth││
└──┴─────┴┘
Partition allows a simple definition[note 3] of a split-into-lengths function:
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Split←{⍵ ⊂⍨ ⍸⍣¯1 +\ ¯1↓1,⍺}
3 3 4 Split 'HowAreYou?'
┌───┬───┬────┐
│How│Are│You?│
└───┴───┴────┘
Notes
- ↑ 1.0 1.1 Most dialects restrict this number to a maximum of 1.
- ↑ 2.0 2.1 Most dialects do not support this.
- ↑ In dialects that implement the full functionality of Partitioned Enclose.
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APL built-ins [edit]
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Primitives (Timeline) |
Functions
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Scalar
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Monadic
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Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
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Dyadic
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Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
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Non-Scalar
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Structural
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Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
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Selector
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Computational
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Monadic
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Dyadic
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Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
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Quad names
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Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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