SHARP APL
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.
SHARP APL Technical Notes
Features of SHARP APL were documented in "technical notes" issued by IPSA. These notes are numbered following the scheme "SATN-0". Earlier notes typically had no author listed. A pdf collection of SHARP APL Technical Notes is hosted at jsoftware.com, as are html transcriptions of some notes, linked in the table below.
Number | Issued | Revised | Author | Title | |
---|---|---|---|---|---|
0 | 1976-01-01 | SATN Introduction | |||
1 | 1976-01-01 | TASKID | |||
2 | 5 | 1979-02-14 | Control Messages | ||
3 | 1976-01-01 | ⎕OUT | |||
4 | 2 | 1978-04-01 | N-tasks and B-tasks | ||
5 | 2 | 1978-08-01 | Batch APL | ||
6 | 1976-01-01 | Execute | |||
7 | 1976-01-01 | Latent Expression | |||
8 | 2 | 1978-03-01 | HSPRINT | ||
9 | 1 | 1979-08-01 | John D. Burger | Usage Inquiry System | |
10 | 2 | 1978-06-01 | SORTREQ | ||
11 | 1976-01-01 | )RESET | |||
12 | 1976-01-01 | )COPY | |||
13 | 1978-03-10 | Early Warnings | |||
14 | 2 | 1978-08-15 | Package - A New Variable Type | ||
15 | Index | ||||
16 | 1976-04-20 | File System Must-Write Buffers | |||
17 | 1976-06-01 | Formatting Primitive | |||
18 | 1976-07-01 | ⎕FMT | |||
19 | 1977-01-01 | Fileprint | |||
20 | 4 | 1978-06-01 | System Variables, Session Variables and System Functions | ||
21 | 1 | 1978-06-01 | ⎕WS and ⎕FD | ||
22 | 2 | 1979-01-01 | Bob Bernecky and Mike Symes | APL Worspace Transfer | |
23 | 1977-06-10 | 1 | 1978-07-15 | Bob Bernecky | Comparison Tolerance (web) |
24 | 1977-03-23 | Symbol Table | |||
25 | 1977-05-15 | Extensions to Argument Passing | |||
26 | 1977-09-10 | Enhancements to the File System | |||
28 | 1977-07-11 | Terminal Control | |||
29 | 1978-06-15 | System Time and Timestamps | |||
30 | 1979-01-01 | Numeric Display | |||
31 | 1979-02-01 | Line Editing in SHARP APL | |||
32 | 1979-03-30 | Shared Variables | |||
33 | 1979-03-26 | Event Trapping | |||
34 | 1980-08-15 | Bob Bernecky | Replication | ||
35 | 1980-08-15 | Peter Wooster | Extended Upgrade and Downgrade | ||
36 | 1980-04-20 | Ken Iverson | Direct Definition | ||
37 | 1 | 1982-06-01 | John D. Burger | IBM 3270 User Guide | |
39 | 1981-06-01 | Richard Lathwell | The SHARP APL S-task Interface | ||
40 | 1981-06-20 | Eugene McDonnell | Complex Numbers (web) | ||
41 | 1981-06-20 | Ken Iverson | Composition and Enclosure (web) | ||
42 | 1982-04-01 | Ken Iverson | Determinant-Like Functions Produced by the Dot-Operator (web) | ||
43 | 1982-11-05 | Peter Wooster | Improved Display for Enclosed Arrays and a New System Variable ⎕PS | ||
44 | 1983-04-02 | Robert C. Metzger | Enhancements to Event Handling | ||
45 | 1983-05-02 | Various | Language Extensions of May 1983 | ||
46 | 1983-08-05 | Eric Iverson | Enhancements Provided in Update #1 to the May 1983 Release of SHARP APL | ||
47 | 1983-10-01 | Mike Symes | IBM 3270 User Guide (IDSH) | ||
48 | 1983-11-30 | John D. Burger | Workspace 1 HCPRINT |
References
- ↑ Eric Iverson. "The Integration of APL into the Larger World of Data Processing" at IPSA '80.
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