SAX

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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

  1. ↑ Soliton Associates. "Platform Differences". 1993-06. Held in York University IPSA collection.
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