Extended Dyalog APL
Extended Dyalog APL features extended domains of existing primitives and quad names and adds a few new ones to Dyalog APL. It was an experimental project that is no longer maintained. Quoting from project README.md:
This project serves as a breeding ground for ideas. While some have been adopted into Dyalog APL proper, it is unlikely that many will be. Furthermore, Dyalog 18.0 gave a different meaning to monadic ≠ than proposed here, leaving Extended Dyalog APL as a deadend.
Influence
Many of the extensions have been adopted into dzaima/APL, while Dyalog APL added Constant (<source lang=apl inline>⍨</syntaxhighlight>) and introduced non-experimental case conversion as a <source lang=apl inline>⎕C</syntaxhighlight> function rather than the proposed operator. Dyalog is also considering adding Reverse Compose, From, and Depth.
Features
The following extensions were made:
Name | Glyph | Type* | Extension |
Back Slash | <source lang=apl inline>\</syntaxhighlight> | 🔶 | <source lang=apl inline>∘.f</syntaxhighlight>when dyadic, allows short and/or multiple left args |
Back Slash Bar | <source lang=apl inline>⍀</syntaxhighlight> | 🔶 | <source lang=apl inline>⊢∘f</syntaxhighlight>when dyadic, allows short and/or multiple left args |
Bullet | <source lang=apl inline>∙</syntaxhighlight> | 🔺 | Inner product and Alternant |
Circle Diaeresis | <source lang=apl inline>⍥</syntaxhighlight> | 🔺 | Over and Depth |
Circle Jot | <source lang=apl inline>⌾</syntaxhighlight> | 🔺 | Complex/Imaginary |
Del Diaeresis | <source lang=apl inline>⍢</syntaxhighlight> | 🔺 | Under (a.k.a. Dual) |
Del Tilde | <source lang=apl inline>⍫</syntaxhighlight> | 🔺 | Obverse;<source lang=apl inline>⍺⍺</syntaxhighlight>but with inverse<source lang=apl inline>⍵⍵</syntaxhighlight> |
Diaeresis | <source lang=apl inline>¨</syntaxhighlight> | 🔵 | allows constant operand |
Divide | <source lang=apl inline>÷</syntaxhighlight> | 🔵 | monadic converts letters to title case when possible |
Dollar Sign | <source lang=apl inline>$</syntaxhighlight> | 🔺 | string enhancement ${1} :<source lang=apl inline>1⊃⍺</syntaxhighlight>, ${expr} :<source lang=apl inline>⍎expr</syntaxhighlight>,<source lang=apl inline>\n</syntaxhighlight>:JSON
|
Down Arrow | <source lang=apl inline>↓</syntaxhighlight> | 🔵 | allows long<source lang=apl inline>⍺</syntaxhighlight> |
Down Shoe | <source lang=apl inline>∪</syntaxhighlight> | 🔵 | allows rank>1 |
Downstile | <source lang=apl inline>⌊</syntaxhighlight> | 🔵 | monadic lowercases letters |
Down Tack | <source lang=apl inline>⊤</syntaxhighlight> | 🔶 | 2s as default left argument |
Ellipsis | <source lang=apl inline>…</syntaxhighlight> | 🔺 | fill sequence gaps (dfns workspace's<source lang=apl inline>to⍤1</syntaxhighlight> |
Epsilon Underbar | <source lang=apl inline>⍷</syntaxhighlight> | 🔶 | monadic is Type<source lang=apl inline>∊</syntaxhighlight>with<source lang=apl inline>⎕ML←0</syntaxhighlight> |
Equals | <source lang=apl inline>=</syntaxhighlight> | 🔶 | with TAO; monad: is-type |
Greater Than | <source lang=apl inline>></syntaxhighlight> | 🔶 | with TAO; monad: is-strictly-negative/is-visible |
Greater Than Or Equal To | <source lang=apl inline>≥</syntaxhighlight> | 🔶 | with TAO; monad: is non-positive/is-not-control-character |
house | <source lang=apl inline>⌂</syntaxhighlight> | 🔺 | prefix for contents of dfns workspace |
infinity | <source lang=apl inline>∞</syntaxhighlight> | 🔺 | largest integer (for use with<source lang=apl inline>⍤</syntaxhighlight>and<source lang=apl inline>⍣</syntaxhighlight>) |
Iota | <source lang=apl inline>⍳</syntaxhighlight> | 🔵 | Unicode version of dfns workspace's <source lang=apl inline>iotag</syntaxhighlight> |
Iota Underbar | <source lang=apl inline>⍸</syntaxhighlight> | 🔵 | allows duplicates/non-Booleans |
Iota Underbar Inverse | <source lang=apl inline>⍸⍣¯1</syntaxhighlight> | 🔵 | given<source lang=apl inline>r</syntaxhighlight>, finds<source lang=apl inline>n</syntaxhighlight>so that<source lang=apl inline>r≡⍸n</syntaxhighlight> |
Jot Diaeresis | <source lang=apl inline>⍤</syntaxhighlight> | 🔵 | allows constant left operand, Atop with function right operand |
Jot Underbar | <source lang=apl inline>⍛</syntaxhighlight> | 🔺 | reverse composition<source lang=apl inline>X f⍛g Y</syntaxhighlight>is<source lang=apl inline>(f X) g Y</syntaxhighlight> |
Left Shoe | <source lang=apl inline>⊂</syntaxhighlight> | 🔵 | allows partitioning along multiple trailing axes, with short <source lang=apl inline>⍺</syntaxhighlight>s, and inserting/appending empty partitions |
Left Shoe Stile | <source lang=apl inline>⍧</syntaxhighlight> | 🔺 | monad: nub-sieve; dyad: count-in |
Left Shoe With Axis | <source lang=apl inline>⊂[k]</syntaxhighlight> | 🔵 | as<source lang=apl inline>⊂</syntaxhighlight>, but called with left operand |
Less Than | <source lang=apl inline><</syntaxhighlight> | 🔶 | with TAO; monad: is-strictly-positive/is-control-character |
Less Than Or Equal To | <source lang=apl inline>≤</syntaxhighlight> | 🔶 | with TAO ; monad: is-non-negative/is-invisible |
Minus | <source lang=apl inline>-</syntaxhighlight> | 🔵 | monadic flips letter case |
macron | <source lang=apl inline>¯</syntaxhighlight> | 🔵 | as prefix to name or primitive means its inverse |
negative Infinity | <source lang=apl inline>¯∞</syntaxhighlight> | 🔺 | smallest integer (for use with<source lang=apl inline>⍣</syntaxhighlight>) |
Nand | <source lang=apl inline>⍲</syntaxhighlight> | 🔶 | monad: not all equal to type |
Nor | <source lang=apl inline>⍱</syntaxhighlight> | 🔶 | monad: not any equal to type |
Not Equal To | <source lang=apl inline>≠</syntaxhighlight> | 🔶 | with TAO; monad: is-non-type |
Percent | <source lang=apl inline>%</syntaxhighlight> | 🔺 | <source lang=apl inline>f%</syntaxhighlight>and<source lang=apl inline>A%</syntaxhighlight>: probability-logical function (mapping arrays) |
Quad Diamond | <source lang=apl inline>⌺</syntaxhighlight> | 🔶 | auto-extended<source lang=apl inline>⍵⍵</syntaxhighlight>, allows small<source lang=apl inline>⍵</syntaxhighlight>, optional edge spec(s) (0:Zero; 1:Repl; 2:Rev; 3:Mirror; 4:Wrap; -:Twist) with masks as operand's<source lang=apl inline>⍺</syntaxhighlight> |
Question Mark | <source lang=apl inline>?</syntaxhighlight> | 🔵 | <source lang=apl inline>⍺?¯⍵</syntaxhighlight>as norm dist stddev <source lang=apl inline>⍵</syntaxhighlight>and optional mean<source lang=apl inline>⍺←0</syntaxhighlight> |
Rho | <source lang=apl inline>⍴</syntaxhighlight> | 🔵 | allows omitting one dimension length with<source lang=apl inline>¯1</syntaxhighlight> |
Right Shoe Underbar | <source lang=apl inline>⊇</syntaxhighlight> | 🔺 | monadic discloses if scalar, dyadic indexes sanely |
Right Shoe Underbar With Axis | <source lang=apl inline>⊇[k]</syntaxhighlight> | 🔺 | as above, but called with left operand |
Root | <source lang=apl inline>√</syntaxhighlight> | 🔺 | (Square) Root |
Semicolon Underbar | <source lang=apl inline>⍮</syntaxhighlight> | 🔺 | (Half) Pair; use<source lang=apl inline>↑⍤⍮</syntaxhighlight>to add axis |
Slash | <source lang=apl inline>/</syntaxhighlight> | 🔵 | allows short and/or multiple left args |
Slash Bar | <source lang=apl inline>⌿</syntaxhighlight> | 🔵 | allows short and/or multiple left args |
Star Diaeresis | <source lang=apl inline>⍣</syntaxhighlight> | 🔵 | allows non-scalar right operand incl.<source lang=apl inline>∞</syntaxhighlight>and<source lang=apl inline>¯∞</syntaxhighlight>and array left operand |
Stile | </syntaxhighlight> | 🔵 | monadic normalises letters to lowercase (upper then lower) |
Stile Tilde | <source lang=apl inline>⍭</syntaxhighlight> | 🔺 | monadic is factors; dyadic depends on<source lang=apl inline>⍺</syntaxhighlight>: 0=non-prime?, 1=prime?, ¯1=primes less than<source lang=apl inline>⍵</syntaxhighlight>, ¯2=<source lang=apl inline>⍵</syntaxhighlight>th prime, 4=next prime, ¯4=prev prime |
Tilde | <source lang=apl inline>~</syntaxhighlight> | 🔵 | monadic allows probabilities, dyadic allows rank>1 |
Tilde Diaeresis | <source lang=apl inline>⍨</syntaxhighlight> | 🔵 | allows constant operand |
Times | <source lang=apl inline>×</syntaxhighlight> | 🔵 | set/query letter case (lower:<source lang=apl inline>¯1</syntaxhighlight>, title:<source lang=apl inline>0</syntaxhighlight>, upper:<source lang=apl inline>1</syntaxhighlight>) |
Up Arrow | <source lang=apl inline>↑</syntaxhighlight> | 🔵 | allows long<source lang=apl inline>⍺</syntaxhighlight> |
Up Shoe | <source lang=apl inline>∩</syntaxhighlight> | 🔶 | monadic is self-classify; dyadic allows rank>1 |
Upstile | <source lang=apl inline>⌈</syntaxhighlight> | 🔵 | monadic uppercases letters |
Up Tack | <source lang=apl inline>⊥</syntaxhighlight> | 🔶 | 2 as default left argument |
Vel | <source lang=apl inline>∨</syntaxhighlight> | 🔶 | monadic is Descending Sort |
Wedge | <source lang=apl inline>∧</syntaxhighlight> | 🔶 | monadic is Ascending Sort |
Case Convert | <source lang=apl inline>⎕C</syntaxhighlight> | 🔺 | <source lang=apl inline>fn ⎕C</syntaxhighlight>applies case-insensitively,<source lang=apl inline>array ⎕C</syntaxhighlight>case-folds |
Error Message | <source lang=apl inline>⎕EM</syntaxhighlight> | 🔺 | Self-inverse<source lang=apl inline>⎕EM</syntaxhighlight> |
Namespace | <source lang=apl inline>⎕NS</syntaxhighlight> | 🔵 | allows<source lang=apl inline>⎕NS names values</syntaxhighlight>(tries to resolve<source lang=apl inline>⎕OR</syntaxhighlight>s) |
Namespace inverse | <source lang=apl inline>⎕NS⍣¯1</syntaxhighlight> | 🔺 | allows<source lang=apl inline>(names values)←⎕NS⍣¯1⊢ns</syntaxhighlight>(returns<source lang=apl inline>⎕OR</syntaxhighlight>s for ns/fns) |
Unicode Convert | <source lang=apl inline>⎕UCS</syntaxhighlight> | 🔵 | scalar when monadic |
* 🔺 means new feature 🔶 means added valence 🔵 means expanded domain
APL dialects [edit] | |
---|---|
Maintained | APL+Win ∙ APL2 ∙ APL64 ∙ APL\iv ∙ Aplette ∙ April ∙ Co-dfns ∙ Dyalog APL ∙ Dyalog APL Vision ∙ dzaima/APL ∙ GNU APL ∙ Kap ∙ NARS2000 ∙ Pometo |
Historical | A Programming Language ∙ A+ (A) ∙ APL# ∙ APL2C ∙ APL\360 ∙ APL/700 ∙ APL\1130 ∙ APL\3000 ∙ APL.68000 ∙ APL*PLUS ∙ APL.jl ∙ APL.SV ∙ APLX ∙ Extended Dyalog APL ∙ Iverson notation ∙ IVSYS/7090 ∙ NARS ∙ ngn/apl ∙ openAPL ∙ Operators and Functions ∙ PAT ∙ Rowan ∙ SAX ∙ SHARP APL ∙ Rationalized APL ∙ VisualAPL (APLNext) ∙ VS APL ∙ York APL |
Derivatives | AHPL ∙ BQN ∙ CoSy ∙ ELI ∙ Glee ∙ I ∙ Ivy ∙ J ∙ Jelly ∙ K (Goal, Klong, Q) ∙ KamilaLisp ∙ Lang5 ∙ Lil ∙ Nial ∙ RAD ∙ Uiua |
Overviews | Comparison of APL dialects ∙ Timeline of array languages ∙ Timeline of influential array languages ∙ Family tree of array languages |