APL.SV: Difference between revisions

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(Created page with "{{Infobox array language | array model = flat without boxes | index origin = <source lang=apl inline>⎕IO</source>0 or 1...")
 
(→‎Functions: Use table from GH20-0906-1)
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! Glyph                              !! Monadic              !! Dyadic
! Glyph                              !! Monadic              !! Dyadic
|-
|-
| <source lang=apl inline>+</source> || [[Conjugate]]         || [[Plus]]
| <source lang=apl inline>+</source> || Plus ([[Identity]])  || [[Plus]]
|-
|-
| <source lang=apl inline>-</source> || [[Negate|Negative]]  || [[Subtract|Minus]]
| <source lang=apl inline>-</source> || [[Negate|Negative]]  || [[Subtract|Minus]]
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| <source lang=apl inline>÷</source> || [[Reciprocal]]        || [[Divide]]
| <source lang=apl inline>÷</source> || [[Reciprocal]]        || [[Divide]]
|-
|-
| <source lang=apl inline>|</source> || [[Magnitude]]         || [[Residue]]
| <source lang=apl inline>⌈</source> || [[Ceiling]]           || [[Maximum]]
|-
|-
| <source lang=apl inline>⌊</source> || [[Floor]]            || [[Minimum]]
| <source lang=apl inline>⌊</source> || [[Floor]]            || [[Minimum]]
|-
|-
| <source lang=apl inline>⌈</source> || [[Ceiling]]           || [[Maximum]]
| <source lang=apl inline>*</source> || [[Exponential]]       || [[Power]]
|-
|-
| <source lang=apl inline>?</source> || [[Roll]]             || [[Deal]]
| <source lang=apl inline>⍟</source> || [[Natural logarithm]] || [[Logarithm]]
|-
|-
| <source lang=apl inline>*</source> || [[Exponential]]       || [[Power]]
| <source lang=apl inline>|</source> || [[Magnitude]]         || [[Residue]]
|-
|-
| <source lang=apl inline>⍟</source> || [[Natural logarithm]] || [[General logarithm]]
| <source lang=apl inline>!</source> || [[Factorial]]         || [[Binomial coefficient]]
|-
|-
| <source lang=apl inline>○</source> || [[Pi times]]         || [[Circle function|Circular, hyperbolic, and pythagorean functions]]
| <source lang=apl inline>?</source> || [[Roll]]             || [[Deal]]
|-
|-
| <source lang=apl inline>!</source> || [[Factorial]]         || [[Binomial]]
| <source lang=apl inline>○</source> || [[Pi times]]         || [[Circle function|Circular]]
|-
|-
| <source lang=apl inline>~</source> || [[Not]]              ||
| <source lang=apl inline>~</source> || [[Not]]              ||
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| <source lang=apl inline>≠</source> ||                      || [[Not equal]]
| <source lang=apl inline>≠</source> ||                      || [[Not equal]]
|-
|-
| <source lang=apl inline>⍴</source> || [[Shape|Shape of]]   || [[Reshape]]
| <source lang=apl inline>⍴</source> || [[Shape|Size]]       || [[Reshape]]
|-
|-
| <source lang=apl inline>,</source> || [[Ravel]]            || [[Catenate|Catenate, Laminate]] (allows axis)
| <source lang=apl inline>,</source> || [[Ravel]]            || [[Catenate]], [[Laminate]] (allows axis)
|-
|-
| <source lang=apl inline>⌽</source> ||rowspan=2| [[Reverse]]<br>(allows axis) ||rowspan=2| [[Rotate]]<br>(allows axis)
| <source lang=apl inline>[]</source>||                       || [[Indexing|Index]]
|-
|-
| <source lang=apl inline>⊖</source>
| <source lang=apl inline>⍳</source> || [[Index generator]]  || [[Index of]]
|-
| <source lang=apl inline>⍉</source> ||colspan=2| [[Transpose]]
|-
|-
| <source lang=apl inline>↑</source> ||                      || [[Take]]
| <source lang=apl inline>↑</source> ||                      || [[Take]]
|-
|-
| <source lang=apl inline>↓</source> ||                      || [[Drop]]
| <source lang=apl inline>↓</source> ||                      || [[Drop]]
|-
| <source lang=apl inline>⍋</source> || [[Grade up]]  (allows axis) ||
|-
| <source lang=apl inline>⍒</source> || [[Grade down]] (allows axis) ||
|-
|-
| <source lang=apl inline>/</source> ||                      ||rowspan=2| [[Compress]]<br>(allows axis)
| <source lang=apl inline>/</source> ||                      ||rowspan=2| [[Compress]]<br>(allows axis)
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| <source lang=apl inline>⍀</source> ||
| <source lang=apl inline>⍀</source> ||
|-
|-
| <source lang=apl inline>[]</source>||                       || [[Indexing]]
| <source lang=apl inline>⌽</source> ||rowspan=2| [[Reverse]]<br>(allows axis) ||rowspan=2| [[Rotate]]<br>(allows axis)
|-
|-
| <source lang=apl inline>⍳</source> || [[Index generator]]  || [[Index of]]
| <source lang=apl inline>⊖</source>
|-
| <source lang=apl inline>⍉</source> ||colspan=2| [[Transpose]]
|-
|-
| <source lang=apl inline>∊</source> ||                      || [[Membership]]
| <source lang=apl inline>∊</source> ||                      || [[Membership]]
|-
|-
| <source lang=apl inline>⍋</source> || [[Grade up]]         ||
| <source lang=apl inline>⊥</source> ||                      || [[Decode]]
|-
|-
| <source lang=apl inline>⍒</source> || [[Grade down]]       ||
| <source lang=apl inline>⊤</source> ||                      || [[Encode]]
|-
|-
| <source lang=apl inline>⌹</source> || [[Matrix inverse]]    || [[Matrix division]]
| <source lang=apl inline>⌹</source> || [[Matrix inverse]]    || [[Matrix division]]
|-
| <source lang=apl inline>⊥</source> ||                      || [[Decode]]
|-
| <source lang=apl inline>⊤</source> ||                      || [[Encode]]
|-
|-
| <source lang=apl inline>⍎</source> ||                      || [[Execute]]
| <source lang=apl inline>⍎</source> ||                      || [[Execute]]

Revision as of 09:38, 16 April 2020


APL.SV, "APL with Shared Variables", was an enhancement to APL\360 released by IBM in 1973. As the name suggests, APL.SV introduced the concept of a shared variable which could be used by multiple processes. It also included system variables as a kind of shared variable, and system functions. APL.SV also introduced the Format and Execute functions, and the Scan operator.

The enhancements to APL described herein are the result of more than six years of personal experience with APL\360, and countless comments and suggestions from many other users. The shared variable concept goes back in principle to early publication by Falkoff and Iverson, but is was R. H. Lathwell who recognized the practical potential of the idea and, with L. A. Morrow, designed an effective data processing facility based upon it. The system was implemented by Lathwell, Morrow, J. A. Brown, and C. F. Shen, all of whom contributed to the design of the other new features as well. R. J. Creasy first proposed the use of surrogate names.

APLSV User's Manual[1]

Primitives

Functions

Glyph Monadic Dyadic
+ Plus (Identity) Plus
- Negative Minus
× Signum Times
÷ Reciprocal Divide
⌈ Ceiling Maximum
⌊ Floor Minimum
* Exponential Power
⍟ Natural logarithm Logarithm
| Magnitude Residue
! Factorial Binomial coefficient
? Roll Deal
○ Pi times Circular
~ Not
∧ And
∨ Or
⍲ Nand
⍱ Nor
< Less
≤ Not greater
= Equal
≥ Not less
> Greater
≠ Not equal
⍴ Size Reshape
, Ravel Catenate, Laminate (allows axis)
[] Index
⍳ Index generator Index of
↑ Take
↓ Drop
⍋ Grade up (allows axis)
⍒ Grade down (allows axis)
/ Compress
(allows axis)
⌿
\ Expand
(allows axis)
⍀
⌽ Reverse
(allows axis)		 Rotate
(allows axis)
⊖
⍉ Transpose
∊ Membership
⊥ Decode
⊤ Encode
⌹ Matrix inverse Matrix division
⍎ Execute
⍕ Monadic format Dyadic format

Operators

Glyph Valence Monadic call Dyadic call
/ Monadic Reduction
(allows axis)
⌿ Monadic
\ Monadic Scan
(allows axis)
⍀ Monadic
. Dyadic Inner product
∘. Monadic Outer product
[] Monadic Axis

References

  1. ↑ Adin Falkoff and Ken Iverson. "APLSV User's Manual". IBM. 1973.
APL dialects [edit]
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