Enlist

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∊

Enlist (∊) is a primitive function which returns a simple vector of all simple scalar values in a possibly nested array. Enlist differs from Ravel in that Enlist flattens over all layers of nesting, while Ravel flattens only the outermost layer. Enlist shares its glyph ∊ with the dyadic function Membership.

Examples

Enlist is equivalent to a depth-first search collecting all simple scalars, where each layer (which in turn can be of any rank) is traversed in ravel order. 

      ⎕←MAT←2 2⍴'MISS' 'IS' 'SIP' 'PI'
┌────┬──┐
│MISS│IS│
├────┼──┤
│SIP │PI│
└────┴──┘
      ∊MAT
MISSISSIPPI

      ⎕←M←1 (2 2⍴2 3 4 5) (6(7 8))
┌─┬───┬───────┐
│1│2 3│┌─┬───┐│
│ │4 5││6│7 8││
│ │   │└─┴───┘│
└─┴───┴───────┘
      ∊M
1 2 3 4 5 6 7 8

Enlist acts like Ravel for simple arrays. This includes simple scalars, where the result is a singleton vector. 

      ⎕←mat←4 4⍴⍳16
 1  2  3  4
 5  6  7  8
 9 10 11 12
13 14 15 16
      (,mat)≡∊mat
1

      ∊3
3
      3 ≡ ∊3                  ⍝ Not the same
0
      ⍴∊3                     ⍝ It's now a vector
1

External links

Lessons

Documentation


APL built-ins [edit]
Primitive functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index
Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Primitive operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut (J)
Quad names
Arrays Index origin ∙ Migration level ∙ Atomic vector
Functions Name class ∙ Case convert ∙ Unicode convert
Operators Search ∙ Replace
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