Kap: Difference between revisions

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(Primitive tables)
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* Native hash table support
* Native hash table support
* Parallel evaluation (to take advantage of multi-core CPU's)
* Parallel evaluation (to take advantage of multi-core CPU's)
== Primitives ==
=== Functions ===
{|class=wikitable
! Glyph                                                !! Monadic                    !! Dyadic
|-
| <syntaxhighlight lang=apl inline>+</syntaxhighlight> || [[Conjugate]]              || [[Add]]
|-
| <syntaxhighlight lang=apl inline>-</syntaxhighlight> || [[Negate]]                || [[Subtract]]
|-
| <syntaxhighlight lang=apl inline>×</syntaxhighlight> || [[Angle]]                  || [[Multiply]]
|-
| <syntaxhighlight lang=apl inline>÷</syntaxhighlight> || [[Reciprocal]]            || [[Divide]]
|-
| <syntaxhighlight lang=apl inline>|</syntaxhighlight> || [[Magnitude]]              || [[Mod]]
|-
| <syntaxhighlight lang=apl inline>⋆</syntaxhighlight> ||colspan=2| [[Power]]
|-
| <syntaxhighlight lang=apl inline>⍟</syntaxhighlight> ||colspan=2| [[Log]]
|-
| <syntaxhighlight lang=apl inline>=</syntaxhighlight> ||                            || [[Equals]]
|-
| <syntaxhighlight lang=apl inline>≠</syntaxhighlight> ||                            || [[Not equals]]
|-
| <syntaxhighlight lang=apl inline><</syntaxhighlight> || [[Increase rank]]          || [[Less than]]
|-
| <syntaxhighlight lang=apl inline>></syntaxhighlight> || [[Decrease rank]]          || [[Greater than]]
|-
| <syntaxhighlight lang=apl inline>≤</syntaxhighlight> ||                            || [[Less than or equal]]
|-
| <syntaxhighlight lang=apl inline>≥</syntaxhighlight> ||                            || [[Greater than or equal]]
|-
| <syntaxhighlight lang=apl inline>∧</syntaxhighlight> || [[Sort up]]                || [[Logical and]]
|-
| <syntaxhighlight lang=apl inline>∨</syntaxhighlight> || [[Sort down]]              || [[Logical or]]
|-
| <syntaxhighlight lang=apl inline>⍲</syntaxhighlight> ||                            || [[Logical nand]]
|-
| <syntaxhighlight lang=apl inline>⍱</syntaxhighlight> ||                            || [[Logical nor]]
|-
| <syntaxhighlight lang=apl inline>∼</syntaxhighlight> || [[Logical not]]            || [[Without]]
|-
| <syntaxhighlight lang=apl inline>√</syntaxhighlight> || [[Square root]]            || [[Root]]
|-
| <syntaxhighlight lang=apl inline>⌊</syntaxhighlight> || [[Floor]]                  || [[Min]]
|-
| <syntaxhighlight lang=apl inline>⌈</syntaxhighlight> || [[Ceiling]]                || [[Max]]
|-
| <syntaxhighlight lang=apl inline>!</syntaxhighlight> || [[Factorial|Gamma]]        || [[Binomial]]
|-
| <syntaxhighlight lang=apl inline>⊢</syntaxhighlight> || [[Identity]]              || [[Right]]
|-
| <syntaxhighlight lang=apl inline>⊣</syntaxhighlight> || [[Identity]]              || [[Left]]
|-
| <syntaxhighlight lang=apl inline>⌷</syntaxhighlight> ||                            || [[Index (function)|Index lookup]]
|-
| <syntaxhighlight lang=apl inline>⊂</syntaxhighlight> || [[Enclose]]                || [[Partitioned enclose]]
|-
| <syntaxhighlight lang=apl inline>⊃</syntaxhighlight> || [[Disclose]]              || [[Pick]]
|-
| <syntaxhighlight lang=apl inline>,</syntaxhighlight> || [[Ravel]]                  || [[Concatenate]]
|-
| <syntaxhighlight lang=apl inline>⍪</syntaxhighlight> || [[Table]]                  || [[Concatenate first axis]]
|-
| <syntaxhighlight lang=apl inline>↑</syntaxhighlight> || [[Take first]]            || [[Take]]
|-
| <syntaxhighlight lang=apl inline>↓</syntaxhighlight> || [[Drop first]]            || [[Drop]]
|-
| <syntaxhighlight lang=apl inline>?</syntaxhighlight> || [[Roll]]                  || [[Deal]]
|-
| <syntaxhighlight lang=apl inline>⌽</syntaxhighlight> || [[Reverse horizontally]]  || [[Rotate horizontally]]
|-
| <syntaxhighlight lang=apl inline>⊖</syntaxhighlight> || [[Reverse vertically]]    || [[Rotate vertically]]
|-
| <syntaxhighlight lang=apl inline>⍉</syntaxhighlight> || [[Transpose]]              || [[Transpose by axis]]
|-
| <syntaxhighlight lang=apl inline>∊</syntaxhighlight> ||                            || [[Member]]
|-
| <syntaxhighlight lang=apl inline>⍷</syntaxhighlight> ||                            || [[Find]]
|-
| <syntaxhighlight lang=apl inline>⍋</syntaxhighlight> || [[Grade up]]              ||
|-
| <syntaxhighlight lang=apl inline>⍒</syntaxhighlight> || [[Grade down]]            ||
|-
| <syntaxhighlight lang=apl inline>⫽</syntaxhighlight> ||                            || [[Replicate]]
|-
| <syntaxhighlight lang=apl inline>⍕</syntaxhighlight> || [[Format]]                ||
|-
| <syntaxhighlight lang=apl inline>⍎</syntaxhighlight> || Parse number              ||
|-
| <syntaxhighlight lang=apl inline>%</syntaxhighlight> ||                            || [[Case]]
|-
| <syntaxhighlight lang=apl inline>⊆</syntaxhighlight> || [[Nest]]                  || [[Partitioned enclose]]
|-
| <syntaxhighlight lang=apl inline>⊇</syntaxhighlight> ||                            || [[Select]]
|-
| <syntaxhighlight lang=apl inline>∩</syntaxhighlight> ||                            || [[Intersection]]
|-
| <syntaxhighlight lang=apl inline>⌸</syntaxhighlight> ||                            || [[Key]] (<syntaxhighlight lang=apl inline>{⍺⍵}⌸</syntaxhighlight> in Dyalog)
|-
| <syntaxhighlight lang=apl inline>∪</syntaxhighlight> ||                            || [[Union]]
|-
| <syntaxhighlight lang=apl inline>⊤</syntaxhighlight> ||                            || [[Decode]]
|-
| <syntaxhighlight lang=apl inline>⊥</syntaxhighlight> ||                            || [[Encode]]
|-
| <syntaxhighlight lang=apl inline>⌹</syntaxhighlight> || [[Matrix inverse]]        || [[Matrix division]]
|-
| <syntaxhighlight lang=apl inline>≡</syntaxhighlight> || [[Depth]]                  || [[Compare equal]]
|-
| <syntaxhighlight lang=apl inline>≢</syntaxhighlight> || [[Tally|Size of major axis]] || [[Compare not equals]]
|-
| <syntaxhighlight lang=apl inline>→</syntaxhighlight> || Return from a function    ||
|}
=== Operators ===
{|class=wikitable
! Syntax                                                !! Monadic                    !! Dyadic
|-
| <syntaxhighlight lang=apl inline>F¨</syntaxhighlight>  ||colspan=2| [[For each]]
|-
| <syntaxhighlight lang=apl inline>F/</syntaxhighlight>  || [[Reduce]]                || [[Windowed reduce]]
|-
| <syntaxhighlight lang=apl inline>F⌿</syntaxhighlight>  || [[Reduce leading axis]]    || [[Windowed reduce leading axis]]
|-
| <syntaxhighlight lang=apl inline>F⌻</syntaxhighlight>  ||                            || [[Outer product]]
|-
| <syntaxhighlight lang=apl inline>F.G</syntaxhighlight> ||                            || [[Inner product]]
|-
| <syntaxhighlight lang=apl inline>F⍨</syntaxhighlight>  || [[Self|Duplicate]]        || [[Commute]]
|-
| <syntaxhighlight lang=apl inline>F⍣k</syntaxhighlight> ||colspan=2| [[Power operator]]
|-
| <syntaxhighlight lang=apl inline>F\</syntaxhighlight>  || [[Scan]]                  ||
|-
| <syntaxhighlight lang=apl inline>F⍀</syntaxhighlight>  || [[Scan first axis]]        ||
|-
| <syntaxhighlight lang=apl inline>F⍤k</syntaxhighlight> ||colspan=2| [[Rank operator]]
|-
| <syntaxhighlight lang=apl inline>F∵</syntaxhighlight>  ||colspan=2| Derive bitwise
|-
| <syntaxhighlight lang=apl inline>F∥</syntaxhighlight>  ||colspan=2| [[Parallel]]
|-
| <syntaxhighlight lang=apl inline>F˝</syntaxhighlight>  ||colspan=2| [[Inverse]]
|-
| <syntaxhighlight lang=apl inline>F∘G</syntaxhighlight> ||colspan=2| [[Compose]]
|-
| <syntaxhighlight lang=apl inline>F⍛G</syntaxhighlight> ||colspan=2| [[Inverse compose]]
|-
| <syntaxhighlight lang=apl inline>F⍥G</syntaxhighlight> ||colspan=2| [[Over]]
|-
| <syntaxhighlight lang=apl inline>F⍢G</syntaxhighlight> ||colspan=2| [[Structural under]]
|}
In addition to these, Kap uses the glyphs <syntaxhighlight lang=apl inline>«</syntaxhighlight> and <syntaxhighlight lang=apl inline>»</syntaxhighlight> to form [[Fork]]s. These are not operators, although they resemble them syntactically.
== References ==
== References ==
<references/>
<references/>
{{APL dialects}}[[Category:APL dialects]][[Category:Nested array languages]][[Category:Languages with first-class functions]][[Category:Leading axis languages]]
{{APL dialects}}[[Category:APL dialects]][[Category:Nested array languages]][[Category:Languages with first-class functions]][[Category:Leading axis languages]]

Revision as of 00:38, 6 February 2024


Kap is an array-based language that aims to implement most of standard APL, along with additional features. Much of standard APL works in Kap, although if an APL feature does not fit with Kap's design, those features are changed or removed.

Lazy evaluation

The main difference compared to APL is that Kap is lazy-evaluated. This means that the language gives the developers very loose guarantees when (or if, and how many times) a function will actually be invoked. For example, ↑ f¨ ⍳10 will only make a single call to f because f¨ ⍳10 will not immediately evaluate the result but only return a delayed evaluation. Since all but the first result is then discarded, those results will never be computed.

Differences from APL

The following is a list of significant differences compared to APL:[1]

  • Lazy evaluation
  • First class functions
  • Bignum support and rational arithmetic
  • Ability to define custom syntax
  • Native hash table support
  • Parallel evaluation (to take advantage of multi-core CPU's)

Primitives

Functions

Glyph Monadic Dyadic
+ Conjugate Add
- Negate Subtract
× Angle Multiply
÷ Reciprocal Divide
| Magnitude Mod
⋆ Power
⍟ Log
= Equals
≠ Not equals
< Increase rank Less than
> Decrease rank Greater than
≤ Less than or equal
≥ Greater than or equal
∧ Sort up Logical and
∨ Sort down Logical or
⍲ Logical nand
⍱ Logical nor
∼ Logical not Without
√ Square root Root
⌊ Floor Min
⌈ Ceiling Max
! Gamma Binomial
⊢ Identity Right
⊣ Identity Left
⌷ Index lookup
⊂ Enclose Partitioned enclose
⊃ Disclose Pick
, Ravel Concatenate
⍪ Table Concatenate first axis
↑ Take first Take
↓ Drop first Drop
? Roll Deal
⌽ Reverse horizontally Rotate horizontally
⊖ Reverse vertically Rotate vertically
⍉ Transpose Transpose by axis
∊ Member
⍷ Find
⍋ Grade up
⍒ Grade down
⫽ Replicate
⍕ Format
⍎ Parse number
% Case
⊆ Nest Partitioned enclose
⊇ Select
∩ Intersection
⌸ Key ({⍺⍵}⌸ in Dyalog)
∪ Union
⊤ Decode
⊥ Encode
⌹ Matrix inverse Matrix division
≡ Depth Compare equal
≢ Size of major axis Compare not equals
→ Return from a function

Operators

Syntax Monadic Dyadic
F¨ For each
F/ Reduce Windowed reduce
F⌿ Reduce leading axis Windowed reduce leading axis
F⌻ Outer product
F.G Inner product
F⍨ Duplicate Commute
F⍣k Power operator
F\ Scan
F⍀ Scan first axis
F⍤k Rank operator
F∵ Derive bitwise
F∥ Parallel
F˝ Inverse
F∘G Compose
F⍛G Inverse compose
F⍥G Over
F⍢G Structural under

In addition to these, Kap uses the glyphs « and » to form Forks. These are not operators, although they resemble them syntactically.

References

  1. ↑ Mårtenson, Elias. Kap for APL’ers. Unversioned. Retrieved 2023-08-13.
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 ∙ TinyAPL
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
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