SHARP APL: Difference between revisions

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Miraheze>Adám Brudzewsky
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Miraheze>Adám Brudzewsky
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| array model              = [[Flat array model|flat]] with [[Box|boxes]]
| array model              = [[Flat array model|flat]] with [[Box|boxes]]
| index origin            = 0 or 1
| index origin            = 0 or 1
| function styles          = [[defined functions]], some [[tacit]] capabilities
| function styles          = [[defined functions]]
| numeric types            = 64-bit float, complex
| numeric types            = 64-bit float, complex
| unicode support          = none
| unicode support          = none
| released                = around 1979
| released                = around 1979
| withdrawn                = around 2017
| withdrawn                = around 1993
| latest release          = 6.0 / 2000
| latest release          = 002.140 / 1988
| platforms                = S/370, x86
| platforms                = S/370, x86
| operating systems        = DOS/390, DOS, UNIX (AIX, Solaris), Linux
| operating systems        = DOS/390, DOS, UNIX (AIX, Solaris), Linux
Line 13: Line 13:
| developer                = [[I.P. Sharp Associates]]
| developer                = [[I.P. Sharp Associates]]
| influenced by            = [[APL\360]]
| influenced by            = [[APL\360]]
| influenced              = [[J]], [[A+]], [[K]], [[Dyalog APL]]
| influenced              = [[SAX]], [[J]], [[A+]], [[K]]
| documentation            = [http://twinkfed.homedns.org/UsrDoc/sax/SAX6_Doc.pdf PDF]
| file ext                = .saw, .saf, .sam
| file ext                = .saw, .saf, .sam, .sw, .sf
| download                = [http://www.sigapl.org/Archives/waterloo_archive/apl/sharp.apl/index.html SIGAPL]
| download                = [http://www.sigapl.org/Archives/waterloo_archive/apl/sharp.apl/index.html SIGAPL]
}}
}}
[[File:Old SHARP APL.png|thumb|right|SHARP APL running under DOSBox]]
[[File:Old SHARP APL.png|thumb|right|SHARP APL running under DOSBox]]
'''SHARP APL''' (later '''SAX''': '''S'''HARP '''A'''PL for UNI'''X''') was a standalone version of APL offered by [[I.P. Sharp Associates]] (IPSA), who had previously offered APL interpretation as a timesharing service. IPSA employed many notable APL designers including [[Ken Iverson]], and SHARP APL was the source of many developments in [[flat array theory]]. Notable features of SHARP APL include [[function rank]], the [[Rank operator]], and [[leading axis theory]], as well as relative [[comparison tolerance]] and [[close composition]] operators including [[Under]].
'''SHARP APL''' was a standalone version of APL offered by [[I.P. Sharp Associates]] (IPSA), who had previously offered APL interpretation as a timesharing service. IPSA employed many notable APL designers including [[Ken Iverson]], and SHARP APL was the source of many developments in [[flat array theory]].
 
== Primitive functions ==
== Primitive functions ==


Revision as of 08:12, 13 November 2019

SHARP APL running under DOSBox

SHARP APL was a standalone version of APL offered by I.P. Sharp Associates (IPSA), who had previously offered APL interpretation as a timesharing service. IPSA employed many notable APL designers including Ken Iverson, and SHARP APL was the source of many developments in flat array theory.

Primitive functions

Arithmetic

Scalar

All scalar functions have rank zero.

Glyph Monadic Dyadic
+ Conjugate/Identity Addition
- Negate Subtraction
× Signum Multiplication
÷ Reciprocal Division
* Exponential Power
⍟ Natural Logarithm Base-⍺ Logarithm
| Magnitude Residue
! Factorial Out-Of/Combinations
⌊ Floor Minimum
⌈ Ceiling Maximum
○ Pi Times Circle functions
∧ And/Least Common Multiple (LCM)
∨ Or/Greatest Common Divisor (GCD)
⍲ Nand
⍱ Nor
~ Not See Miscellaneous
? Roll See Non-scalar

Non-scalar

Glyph Rank Monadic Ranks Dyadic
⌹ 2 Matrix inverse ∞ 2 Matrix divide
? See Scalar * * Deal
⊤ ∞ ∞ Encode
⊥ ∞ ∞ Decode

Relational

Glyph Rank Monadic Ranks Dyadic
= See Miscellaneous 0 0 Equals
≠ See Miscellaneous 0 0 Not Equals
< See Structural 0 0 Less Than
≤ 0 0 Less Than or Equal
≥ 0 0 Greater Than or Equal
> See Structural 0 0 Greater Than
≡ ∞ ∞ Match
∊ 0 ∞ Membership
⍷ ∞ ∞ Find

Indexing

Glyph Rank Monadic Ranks Dyadic
@ See Miscellaneous 0 ∞ From
⍳ 1 Count 1 0 Index Of
⍸ ∞ ∞ Index
⍋ ∞ Numeric Grade up ∞ ∞ Character Grade up
⍒ ∞ Numeric Grade down ∞ ∞ Character Grade down

Structural

Glyph Rank Monadic Ranks Dyadic
⍴ ∞ Shape of 1 ∞ Reshape
↑ See Miscellaneous 1 ∞ Take
↓ ∞ Raze 1 ∞ Drop
< ∞ Enclose/Box See Relational
⊃ ∞ Conditional Enclose ∞ ∞ Link
> 0 Disclose/Open See Relational
, ∞ Ravel ∞ ∞ Catenate
⍪ ∞ Table ∞ ∞ Catenate-Down
⌽ 1 Reverse 0 1 Rotate
⊖ ∞ Reverse-Down ∞ ∞ Rotate-Down
⍉ ∞ Monadic Transpose 0 ∞ Dyadic Transpose

Miscellaneous

Glyph Rank Monadic Ranks Dyadic
⊣ ∞ Stop ∞ ∞ Left
⊢ ∞ Pass ∞ ∞ Right
≠ ∞ Nubsieve See Relational
↑ ∞ Nub See Structural
= ∞ Nubin See Relational
~ See Scalar ∞ ∞ Less
@ 1 All See Indexing
⍕ ∞ Monadic Format * ∞ Dyadic Format
⍎ * Execute

Primitive Operators

Glyph Operands Ranks Monadic Call Dyadic Call
/ f ∞ Reduce
⌿ f ∞ Reduce-down
\ f ∞ Scan
⍀ f ∞ Scan-down
/ m ∞ Copy/Compress
⌿ m ∞ Copy-down/Compress-down
\ m ∞ Expand
⍀ m ∞ Expand-down
⊂ f ∞ rf lf Swap
& f ∞ ∞ ∞ Select
⍤ f g mg mg mg On (close Over)
⍤ f n n n n Rank
⍤ m g mg mg mg Cut
⍥ f g mg mg mg Upon (close Atop)
¨ f g mg mg mg Under
¨ m g mg With (Bind)
¨ f n mf
. f g 2 ∞ ∞ Alternant Inner-product
. m g ∞ ∞ Tie, Outer-product
. f m mf Ply

Implementation

Numeric types

SHARP originally supported only real numbers using double (8-byte) precision. Numbers were stored in one of three types:

  • Boolean, with one bit per value
  • Integer, with four bytes per value
  • Floating, with eight bytes per value

SATN-40 describes the addition of complex numbers to SHARP APL.

External links

Wikipedia

Template:APL programming language

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