Materialise

Materialise (⌷) is a monadic primitive function which tries to cast the argument (which can be any object) into an APL array. If the argument is already an array, it is returned unmodified. It is only available in Dyalog APL, which supports classes and .NET objects. Materialise shares its glyph ⌷ with Index.

Examples

Dyalog APL allows the user to define a class, which looks like the following:

:Class cl
    :Property Default thing
    :Access Public Shared
        ∇ r←get
          r←3 1 4 1 4
        ∇
    :EndProperty
:EndClass

Works in: Dyalog APL

If one property is declared as default, Materialise returns the value of the default property.

      ⊢cl  ⍝ It is an object
#.cl
      ⌷cl  ⍝ ⌷ casts cl to an array by getting the default property
3 1 4 1 4
      cl.thing  ⍝ Actual effect of the line above
3 1 4 1 4

Works in: Dyalog APL

Materialise can also be used on a .NET collection, which returns the underlying array of data.

      ba←⎕NEW System.Collections.BitArray(⊂1 0 1 1 0)
      ⍬≡⍴ba  ⍝ ba itself is a scalar object
1
      ⍴⌷ba  ⍝ but it is actually a container of 5 values
5

Works in: Dyalog APL

Materialise is the same as Identity for APL arrays.

      (⌷≡⊢) 1 2 3 4 5
1

Works in: Dyalog APL

External links

Tutorials

APL Cultivation

Documentation

Dyalog

APL built-ins [edit]
Primitives (Timeline)	Functions
Scalar
		Monadic	Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
		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 ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
		Selector	Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
		Computational	Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators	Monadic	Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
Operators	Dyadic	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)
Quad names	Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector

Materialise

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Materialise

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