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'''SAX''' ('''S'''HARP '''A'''PL for UNI'''X''') was a version of [[SHARP APL]]. Developed and sold initially by [[IPSA]], it was later offered by [[Soliton Associates]], and eventually became the last active SHARP product. SAX supported most but not all features of the previous SHARP implementation for IBM platforms, with [[complex number]]s being a significant exception. It also included more features from [[A Dictionary of APL]] such as [[Swap]] (<syntaxhighlight lang=apl inline>⊃</syntaxhighlight>) and [[From]] (<syntaxhighlight lang=apl inline>{</syntaxhighlight>).<ref>[[Soliton Associates]]. "Platform Differences". 1993-06. Held in [ | '''SAX''' ('''S'''HARP '''A'''PL for UNI'''X''') was a version of [[SHARP APL]]. Developed and sold initially by [[IPSA]], it was later offered by [[Soliton Associates]], and eventually became the last active SHARP product. SAX supported most but not all features of the previous SHARP implementation for IBM platforms, with [[complex number]]s being a significant exception. It also included more features from [[A Dictionary of APL]] such as [[Swap]] (<syntaxhighlight lang=apl inline>⊃</syntaxhighlight>) and [[From]] (<syntaxhighlight lang=apl inline>{</syntaxhighlight>).<ref>[[Soliton Associates]]. "Platform Differences". 1993-06. Held in [https://museum.eecs.yorku.ca/collections/show/15 York University IPSA collection].</ref> | ||
== Primitive functions == | == Primitive functions == |
Latest revision as of 03:23, 11 May 2024
SAX (SHARP APL for UNIX) was a version of SHARP APL. Developed and sold initially by IPSA, it was later offered by Soliton Associates, and eventually became the last active SHARP product. SAX supported most but not all features of the previous SHARP implementation for IBM platforms, with complex numbers being a significant exception. It also included more features from A Dictionary of APL such as Swap (⊃
) and From ({
).[1]
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 |
References
- ↑ Soliton Associates. "Platform Differences". 1993-06. Held in York University IPSA collection.
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 |