APL Wiki:About

For many years APL Wiki was maintained by Kai Jäger as a MoinMoin wiki site. In 2019, APL Wiki was reborn as a MediaWiki site with content more in the style of Wikipedia. It is now maintained by Richard Park. Migration of content from the old APL Wiki is ongoing.

This wiki is a central repository and general information wiki for the APL programming language. There may be pages regarding other languages in the array-oriented and APL family (such as J and K), but these pages should be from the perspective of APL (as they could likely have entire wikis in their own rights).

Contributing

We welcome any and all contributions to APL Wiki, as long as they adhere to the general content standard as observed in existing pages. Currently, many links lead to pages that as of yet do not exist. Creating and populating these missing pages is especially appreciated.

MediaWiki documentation applies. Especially useful for you as a contributor are:

Editing pages
Starting a new page
Links
Formatting, but please follow the below guidelines.

Inline APL code

Inline code is used for single primitives and short expressions and uses the format

<source lang=apl inline>(2=+⌿0=N∘.|N)/N←⍳100</source>

which results in

(2=+⌿0=N∘.|N)/N←⍳100

APL code blocks

For session transcripts, function definitions and lorger expressions, use code blocks like

<source lang=apl>
(2=+⌿0=N∘.|N)/N←⍳100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
</source>

which results in

      (2=+⌿0=N∘.|N)/N←⍳100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

Optionally, you can indicate one or more APL dialects which are able to run the code by using a special template immediately after the source tag, like

<source lang=apl>
      {(2=+⌿0=⍵∘.|⍵)/⍵}⍳100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
</source>
{{Works in|[[Dyalog APL]], [[dzaima/APL]], [[GNU APL]], [[ngn/APL]]}}

which results in

      {(2=+⌿0=⍵∘.|⍵)/⍵}⍳100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

Works in: Dyalog APL, dzaima/APL, GNU APL, ngn/APL

You can also include a link to TryAPL or Try It Online right before the source tag, for example

[https://tryapl.org/?a=%7B%282%3D+%u233F0%3D%u2375%u2218.%7C%u2375%29/%u2375%7D%u2373100&run Try it now!]
<source lang=apl>
      {(2=+⌿0=⍵∘.|⍵)/⍵}⍳100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
</source>

which results in:

Try it now!

      {(2=+⌿0=⍵∘.|⍵)/⍵}⍳100
2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97

Just make sure to leave a blank line before the link.

Primitives and other built-ins

When creating a page for a primitive function, operator, or quad name, begin the page with the following template:

{{Built-in|Log|⍟}}

This inserts the text

⍟

Log (⍟)

and also inserts a nice big illustration of the glyph on the page:

At the bottom such pages, include the template



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)


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

Dialects

Begin your page about an APL dialect with the Infobox array language info box. Below are all the optional parameters it supports. Try to fill in as many as you can (except the singular/plural alternatives and title which you only need to supply if the language title differs from the page title):

{{
| "title" =
| "developer" =
| "released" =
| "latest release version" =
| "withdrawn" =
| "array model" =
| "index origin" =
| "function styles" =
| "numeric types" =
| "unicode support" =
| "file ext" =
| "implementation language" =
| "implementation languages" =
| "platform" =
| "platforms" =
| "operating system" =
| "operating systems" =
| "license" =
| "website" =
| "download" =
| "documentation" =
| "influenced by" =
| "influenced" =
}}

APL community [edit]
Activities	Conferences ∙ User groups and meetups ∙ Iverson Award ∙ Exercises
Chat rooms and forums	APL Farm ∙ APL Orchard ∙ APL Wiki
People	Phil Abrams ∙ Brian Becker ∙ Bob Bernecky ∙ Larry Breed ∙ Charles Brenner ∙ Jim Brown ∙ Adám Brudzewsky ∙ Gitte Christensen ∙ Peter Donnelly ∙ John Earnest ∙ Adin Falkoff ∙ Garth Foster ∙ Lib Gibson ∙ Aaron Hsu ∙ Roger Hui ∙ Ken Iverson ∙ Morten Kromberg ∙ Dick Lathwell ∙ Marshall Lochbaum ∙ Eugene McDonnell ∙ Roger Moore ∙ Trenchard More ∙ Alan Perlis ∙ Raghu Ranganathan ∙ Henry Rich ∙ Al Rose ∙ John Scholes ∙ Ian Sharp ∙ Bob Smith ∙ Geoff Streeter ∙ Joey Tuttle ∙ Arthur Whitney
Other	APL Trust ∙ APL Quote Quad ∙ Blogs ∙ Books ∙ Case studies ∙ Famous APL users ∙ Humour ∙ Jobs ∙ Merchandise ∙ Papers ∙ Podcasts ∙ TryAPL ∙ Try It Online ∙ Video channels

APL Wiki:About

Contents

Contributing

Inline APL code

APL code blocks

Primitives and other built-ins

Dialects

Navigation menu

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

APL Wiki:About

Contributing

Inline APL code

APL code blocks

Primitives and other built-ins

Dialects

Navigation menu

Search