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== Influence == | == Influence == | ||
Many of the extensions have been adopted into [[dzaima/APL]], while Dyalog APL added [[Constant]] (<source lang=apl inline>⍨</ | 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 Convert|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 (operator)|Depth]]. | ||
== Features == | == Features == | ||
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| Name || Glyph || Type* || Extension | | Name || Glyph || Type* || Extension | ||
|- | |- | ||
| Back Slash || <source lang=apl inline>\</ | | 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>⍀</ | | 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>∙</ | | Bullet || <source lang=apl inline>∙</syntaxhighlight> || 🔺 || Inner product and Alternant | ||
|- | |- | ||
| Circle Diaeresis || <source lang=apl inline>⍥</ | | Circle Diaeresis || <source lang=apl inline>⍥</syntaxhighlight> || 🔺 || Over and Depth | ||
|- | |- | ||
| Circle Jot || <source lang=apl inline>⌾</ | | Circle Jot || <source lang=apl inline>⌾</syntaxhighlight> || 🔺 || Complex/Imaginary | ||
|- | |- | ||
| Del Diaeresis || <source lang=apl inline>⍢</ | | Del Diaeresis || <source lang=apl inline>⍢</syntaxhighlight> || 🔺 || Under (a.k.a. Dual) | ||
|- | |- | ||
| Del Tilde || <source lang=apl inline>⍫</ | | 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>¨</ | | Diaeresis || <source lang=apl inline>¨</syntaxhighlight> || 🔵 || allows constant operand | ||
|- | |- | ||
| Divide || <source lang=apl inline>÷</ | | Divide || <source lang=apl inline>÷</syntaxhighlight> || 🔵 || monadic converts letters to title case when possible | ||
|- | |- | ||
| Dollar Sign || <source lang=apl inline>$</ | | Dollar Sign || <source lang=apl inline>$</syntaxhighlight> || 🔺 || string enhancement <code>${1}</code>:<source lang=apl inline>1⊃⍺</syntaxhighlight>, <code>${expr}</code>:<source lang=apl inline>⍎expr</syntaxhighlight>,<source lang=apl inline>\n</syntaxhighlight>:JSON | ||
|- | |- | ||
| Down Arrow || <source lang=apl inline>↓</ | | Down Arrow || <source lang=apl inline>↓</syntaxhighlight> || 🔵 || allows long<source lang=apl inline>⍺</syntaxhighlight> | ||
|- | |- | ||
| Down Shoe || <source lang=apl inline>∪</ | | Down Shoe || <source lang=apl inline>∪</syntaxhighlight> || 🔵 || allows rank>1 | ||
|- | |- | ||
| Downstile || <source lang=apl inline>⌊</ | | Downstile || <source lang=apl inline>⌊</syntaxhighlight> || 🔵 || monadic lowercases letters | ||
|- | |- | ||
| Down Tack || <source lang=apl inline>⊤</ | | Down Tack || <source lang=apl inline>⊤</syntaxhighlight> || 🔶 || 2s as default left argument | ||
|- | |- | ||
| Ellipsis || <source lang=apl inline>…</ | | 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>⍷</ | | 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>=</ | | Equals || <source lang=apl inline>=</syntaxhighlight> || 🔶 || with [[TAO]]; monad: is-type | ||
|- | |- | ||
| Greater Than || <source lang=apl inline>></ | | Greater Than || <source lang=apl inline>></syntaxhighlight> || 🔶 || with TAO; monad: is-strictly-negative/is-visible | ||
|- | |- | ||
| Greater Than Or Equal To || <source lang=apl inline>≥</ | | 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>⌂</ | | house || <source lang=apl inline>⌂</syntaxhighlight> || 🔺 || prefix for contents of [[dfns workspace]] | ||
|- | |- | ||
| infinity || <source lang=apl inline>∞</ | | 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>⍳</ | | Iota || <source lang=apl inline>⍳</syntaxhighlight> || 🔵 || Unicode version of [[dfns workspace]]'s <source lang=apl inline>iotag</syntaxhighlight> | ||
|- | |- | ||
| Iota Underbar || <source lang=apl inline>⍸</ | | Iota Underbar || <source lang=apl inline>⍸</syntaxhighlight> || 🔵 || allows duplicates/non-Booleans | ||
|- | |- | ||
| Iota Underbar Inverse || <source lang=apl inline>⍸⍣¯1</ | | 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>⍤</ | | Jot Diaeresis || <source lang=apl inline>⍤</syntaxhighlight> || 🔵 || allows constant left operand, Atop with function right operand | ||
|- | |- | ||
| Jot Underbar || <source lang=apl inline>⍛</ | | 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>⊂</ | | 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>⍧</ | | Left Shoe Stile || <source lang=apl inline>⍧</syntaxhighlight> || 🔺 || monad: nub-sieve; dyad: count-in | ||
|- | |- | ||
| Left Shoe With Axis || <source lang=apl inline>⊂[k]</ | | 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><</ | | 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>≤</ | | Less Than Or Equal To || <source lang=apl inline>≤</syntaxhighlight> || 🔶 || with TAO ; monad: is-non-negative/is-invisible | ||
|- | |- | ||
| Minus || <source lang=apl inline>-</ | | Minus || <source lang=apl inline>-</syntaxhighlight> || 🔵 || monadic flips letter case | ||
|- | |- | ||
| macron || <source lang=apl inline>¯</ | | macron || <source lang=apl inline>¯</syntaxhighlight> || 🔵 || as prefix to name or primitive means its inverse | ||
|- | |- | ||
| negative Infinity || <source lang=apl inline>¯∞</ | | negative Infinity || <source lang=apl inline>¯∞</syntaxhighlight> || 🔺 || smallest integer (for use with<source lang=apl inline>⍣</syntaxhighlight>) | ||
|- | |- | ||
| Nand || <source lang=apl inline>⍲</ | | Nand || <source lang=apl inline>⍲</syntaxhighlight> || 🔶 || monad: not all equal to type | ||
|- | |- | ||
| Nor || <source lang=apl inline>⍱</ | | Nor || <source lang=apl inline>⍱</syntaxhighlight> || 🔶 || monad: not any equal to type | ||
|- | |- | ||
| Not Equal To || <source lang=apl inline>≠</ | | Not Equal To || <source lang=apl inline>≠</syntaxhighlight> || 🔶 || with TAO; monad: is-non-type | ||
|- | |- | ||
| Percent || <source lang=apl inline>%</ | | 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>⌺</ | | 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>?</ | | 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>⍴</ | | 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>⊇</ | | 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]</ | | Right Shoe Underbar With Axis || <source lang=apl inline>⊇[k]</syntaxhighlight> || 🔺 || as above, but called with left operand | ||
|- | |- | ||
| Root || <source lang=apl inline>√</ | | Root || <source lang=apl inline>√</syntaxhighlight> || 🔺 || (Square) Root | ||
|- | |- | ||
| Semicolon Underbar || <source lang=apl inline>⍮</ | | Semicolon Underbar || <source lang=apl inline>⍮</syntaxhighlight> || 🔺 || (Half) Pair; use<source lang=apl inline>↑⍤⍮</syntaxhighlight>to add axis | ||
|- | |- | ||
| Slash || <source lang=apl inline>/</ | | Slash || <source lang=apl inline>/</syntaxhighlight> || 🔵 || allows short and/or multiple left args | ||
|- | |- | ||
| Slash Bar || <source lang=apl inline>⌿</ | | Slash Bar || <source lang=apl inline>⌿</syntaxhighlight> || 🔵 || allows short and/or multiple left args | ||
|- | |- | ||
| Star Diaeresis || <source lang=apl inline>⍣</ | | 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 || <source lang=apl inline>|</ | | Stile || <source lang=apl inline>|</syntaxhighlight> || 🔵 || monadic normalises letters to lowercase (upper then lower) | ||
|- | |- | ||
| Stile Tilde || <source lang=apl inline>⍭</ | | 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>~</ | | Tilde || <source lang=apl inline>~</syntaxhighlight> || 🔵 || monadic allows probabilities, dyadic allows rank>1 | ||
|- | |- | ||
| Tilde Diaeresis || <source lang=apl inline>⍨</ | | Tilde Diaeresis || <source lang=apl inline>⍨</syntaxhighlight> || 🔵 || allows constant operand | ||
|- | |- | ||
| Times || <source lang=apl inline>×</ | | 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>↑</ | | Up Arrow || <source lang=apl inline>↑</syntaxhighlight> || 🔵 || allows long<source lang=apl inline>⍺</syntaxhighlight> | ||
|- | |- | ||
| Up Shoe || <source lang=apl inline>∩</ | | Up Shoe || <source lang=apl inline>∩</syntaxhighlight> || 🔶 || monadic is self-classify; dyadic allows rank>1 | ||
|- | |- | ||
| Upstile || <source lang=apl inline>⌈</ | | Upstile || <source lang=apl inline>⌈</syntaxhighlight> || 🔵 || monadic uppercases letters | ||
|- | |- | ||
| Up Tack || <source lang=apl inline>⊥</ | | Up Tack || <source lang=apl inline>⊥</syntaxhighlight> || 🔶 || 2 as default left argument | ||
|- | |- | ||
| Vel || <source lang=apl inline>∨</ | | Vel || <source lang=apl inline>∨</syntaxhighlight> || 🔶 || monadic is Descending Sort | ||
|- | |- | ||
| Wedge || <source lang=apl inline>∧</ | | Wedge || <source lang=apl inline>∧</syntaxhighlight> || 🔶 || monadic is Ascending Sort | ||
|- | |- | ||
| Case Convert || <source lang=apl inline>⎕C</ | | 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</ | | Error Message || <source lang=apl inline>⎕EM</syntaxhighlight> || 🔺 || Self-inverse<source lang=apl inline>⎕EM</syntaxhighlight> | ||
|- | |- | ||
| Namespace || <source lang=apl inline>⎕NS</ | | 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</ | | 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</ | | Unicode Convert || <source lang=apl inline>⎕UCS</syntaxhighlight> || 🔵 || scalar when monadic | ||
|} | |} | ||
<nowiki>*</nowiki> 🔺 means new feature 🔶 means added valence 🔵 means expanded domain | <nowiki>*</nowiki> 🔺 means new feature 🔶 means added valence 🔵 means expanded domain | ||
{{APL dialects}}[[Category:APL dialects]][[Category:Nested array languages]][[Category:Leading axis languages]][[Category:Languages with tacit programming]] | {{APL dialects}}[[Category:APL dialects]][[Category:Nested array languages]][[Category:Leading axis languages]][[Category:Languages with tacit programming]] |