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{{Built-ins|Range|…| | :''This page is about the dyadic primitive function. "Range" refers to [[Unique]] in K and [[Index Generator]] in BQN.'' | ||
{{Built-ins|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 [[argument|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>..</syntaxhighlight>), [[Extended Dyalog APL]], and [[dzaima/APL]]. | |||
== Basic usage == | == Basic usage == | ||
| Line 5: | Line 7: | ||
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. | 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. | ||
< | <syntaxhighlight lang=apl> | ||
3…8 | 3…8 | ||
3 4 5 6 7 8 | 3 4 5 6 7 8 | ||
| Line 12: | Line 14: | ||
5…¯5 | 5…¯5 | ||
5 4 3 2 1 0 ¯1 ¯2 ¯3 ¯4 ¯5 | 5 4 3 2 1 0 ¯1 ¯2 ¯3 ¯4 ¯5 | ||
</ | </syntaxhighlight>{{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 < | 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>⍬</syntaxhighlight> or even throw a [[DOMAIN ERROR]] for <syntaxhighlight lang=apl inline>X…Y</syntaxhighlight> when <syntaxhighlight lang=apl inline>X>Y</syntaxhighlight>. | ||
== Extensions == | == Extensions == | ||
| Line 20: | Line 22: | ||
[[NARS2000]] supports step size and multi-dimensional range (giving the result similar to multi-dimensional [[Index Generator]]): | [[NARS2000]] supports step size and multi-dimensional range (giving the result similar to multi-dimensional [[Index Generator]]): | ||
< | <syntaxhighlight lang=apl> | ||
3 2..10 ⍝ Start, step, and end values | 3 2..10 ⍝ Start, step, and end values | ||
3 5 7 9 | 3 5 7 9 | ||
| Line 41: | Line 43: | ||
│2 7│2 5│2 3│ | │2 7│2 5│2 3│ | ||
└───┴───┴───┘ | └───┴───┴───┘ | ||
</ | </syntaxhighlight>{{Works in|[[NARS2000]]}} | ||
In [[Extended Dyalog APL]], the extension is focused on making it easier to produce integer or character vector constants: | In [[Extended Dyalog APL]], the extension is focused on making it easier to produce integer or character vector constants: | ||
< | <syntaxhighlight lang=apl> | ||
1…10 20…100 80…0 | 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 | 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' | 'a'…'zA'…'Z' | ||
abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ | abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ | ||
</ | </syntaxhighlight>{{Works in|[[Extended Dyalog APL]]}} | ||
== External links == | == External links == | ||
Latest revision as of 22:18, 10 September 2022
- 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 ..), 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
It should be noted that, since the exact definition of Range has never been standardised, a different implementation might as well choose to return ⍬ or even throw a DOMAIN ERROR for X…Y when X>Y.
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│
└───┴───┴───┘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'
abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZWorks in: Extended Dyalog APL
External links
Documentation