Range

This page is about the dyadic primitive function. "Range" refers to Unique in K and Index Generator in BQN.

Range (…, ..) or Sequence is a dyadic primitive function which creates a vector of consecutive integers based on the start and end values given by its arguments. It serves as an index origin-agnostic alternative to Index Generator for creating a range of numbers. Range is currently implemented in NARS2000 (using the digraph <syntaxhighlight lang=apl inline>..</source>), Extended Dyalog APL, and dzaima/APL.

Basic usage

If both arguments are scalar integers, Range creates the consecutive range between the two arguments inclusive. If the left argument is greater than the right argument, the result becomes a decreasing sequence.

     3…8

3 4 5 6 7 8

     4…4

4

     5…¯5

5 4 3 2 1 0 ¯1 ¯2 ¯3 ¯4 ¯5

</source>

Works in: NARS2000, Extended Dyalog APL, dzaima/APL

It should be noted that, since the exact definition of Range has never been standardised, a different implementation might as well choose to return <syntaxhighlight lang=apl inline>⍬</source> or even throw a DOMAIN ERROR for <syntaxhighlight lang=apl inline>X…Y</source> when <syntaxhighlight lang=apl inline>X>Y</source>.

Extensions

NARS2000 supports step size and multi-dimensional range (giving the result similar to multi-dimensional Index Generator):

     3 2..10  ⍝ Start, step, and end values

3 5 7 9

     (⊂3 4)..6  ⍝ Two start values, so the result is two-dimensional and nested

┌───┬───┬───┐ │3 4│3 5│3 6│ ├───┼───┼───┤ │4 4│4 5│4 6│ ├───┼───┼───┤ │5 4│5 5│5 6│ ├───┼───┼───┤ │6 4│6 5│6 6│ └───┴───┴───┘

     (6 7)2..2  ⍝ Two start values with step size; the sign of step size is ignored

┌───┬───┬───┐ │6 7│6 5│6 3│ ├───┼───┼───┤ │4 7│4 5│4 3│ ├───┼───┼───┤ │2 7│2 5│2 3│ └───┴───┴───┘

</source>

Works in: NARS2000

In Extended Dyalog APL, the extension is focused on making it easier to produce integer or character vector constants:

     1…10 20…100 80…0

1 2 3 4 5 6 7 8 9 10 20 30 40 50 60 70 80 90 100 80 60 40 20 0

     'a'…'zA'…'Z'

abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ

</source>

Works in: Extended Dyalog APL

External links

Documentation

NARS2000

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

Range

Contents

Basic usage

Extensions

External links

Documentation

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Range

Basic usage

Extensions

External links

Documentation

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