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Update: unfortunately, I have completely lost interest in it.

Playing around APL

(this was mostly Dyalog APL oriented)

Nota Bene: this is work in progress

The charset

⍝ ← +-×÷*⍟⌹○!? |⌈⌊⊥⊤⊣⊢ =≠≤<>≥≡≢ ∨∧⍱⍲↑↓⊂⊃⌷⍋⍒ ⍳⍷∪∩∊~ /\⌿⍀,⍪⍴⌽⊖⍉ ¨⍨⍣.∘⍤⍞⎕⍠⌸⍎⍕ ⋄→⍵⍺∇&⍙∆ߢ⍫⌶ ¯⍬

╭☞ ͡° ͜ʖ ͡°)╭☞ More details about these symbols, including meaning and usage.

The keyboard

arythmetic and algebraic functions

Key Sym Monadic Dyadic Notes
C-] ← --- assign
+ Identity add
- Negate substract
C-= × Sign of multiplication
C-[ ÷ Reciprocal 1/x division
C-S-[ ⌹ matrix inverse matrix division
C-i ⍳ Index generator Index of
? Random roll Random deal
S-8 * Exponential Power
C-S-8 ⍟ Natural log given base log
C-o ○ Pi times Circle (rad!)
! Factorial Number of Combinations
| Absolute value Residue (div remainder)
C-s ⌈ ceiling maximum
C-d ⌊ floor minimum

unsorted yet

Key Sym Monadic Dyadic Notes
C-S-/ ⊣ Same left arg
C-/ ⊢ Same right arg
C-M-1 ≡ Depth of Matches
C-M-\ ≢ Not match
C-z ⊂ Enclose Partition 'left shoe'
C-x ⊃ Disclose Pick 'right shoe'
C-S-l ⌷ Index
C-M-5 ⍷ Find
C-v ∪ Unique Union
C-c ∩ Intersection
C-g ∇ named 'del'; self-reference inside a lambda

Manipulative

Key Sym Monadic Dyadic
C-r ⍴ Shape Reshape
, Ravel Concatenate
C-S-5 ⌽ Reverse Rotate
C-S-6 ⍉ Transpose Transpose
C-Y ↑ --- Take
C-U ↓ --- Drop
/ --- Compress
\ --- Expand

Sorting and coding

Key Sym Monadic Dyadic
C-S-4 ⍋ GRADE UP ---
C-S-3 ⍒ GRADE DOWN ---
C-n ⊤ --- ENCODE
C-b ⊥ --- DECODE

Comparative (dyadic only)

Key Sym Function Returns
< Less than Vector of size R
C-4 ≤ Less than or equal to Vector of size R
= Equal to Vector of size R
C-6 ≥ Greater than or equal to Vector of size R
> Greater than Vector of size R
C-8 ≠ Not equal to Vector of size R
C-e ∊ Is an element of Vector of size Left

Logical

Key Sym Monadic Dyadic
~ Not Without
C-9 ∨ --- Or
C-0 ^ --- And
C-S-9 ⍱ --- Nor
C-S-0 ⍲ --- Nand

interactive/other

Key Sym Name/Function
C-l ⎕ Quad
C-S-] ⍞ Quote-quad
C-\ ⋄ Statement separator
C-S-' ⍕ Format
C-S-, ⍝ Comment
C-S-` ⍎ Execute
C-S-[ ⌹ Domino (matrix inverse / matrix divide)

Five APL operators:

Name form Notes
Reduction f/, f ∊ {+ - × ÷ ⌈ ⌊ | * ¤ ○ ! < ≤ = ≥ > ≠ ∨ ∧ ⍱ ⍲} foldr List -> Scalar
Scan f\, f ∊ {+ - × ÷ ⌈ ⌊ | * ¤ ○ ! < ≤ = ≥ > ≠ ∨ ^ ⍱ ⍲} foldl List -> List (keeping accumulator)
Outer product X∘.fY, f ∊ {+ - × ÷ ⌊ ⌈ | * ¤ ○ ! < ≤ = ≥ > ≠ ∨ ^ ⍱ ⍲}
Inner product Xf.gY, (f,g) ∊ {+ - × ÷ ⌊ ⌈ | * ¤ ∘ ! < ≤ = ≥ > ≠ ∨ ^ ⍱ ⍲}
Axis ?

Goodies

Pattern Meaning Notes
⎕WA Workspace available
⎕TS Timestamp
⎕IO Index Origin ⎕IO ← 0 ⍝ to start indexing from 0 (default 1)
⎕PP Print digits ⎕PP ← 8 ⍝ to use 8 significant digits (default 18)
⎕PW Print width
⎕NL 2 returns matrix of defined variables
⎕NL 3 returns matrix of defined functions
⎕NC tells if Rarg is already defined in the current ws (retval 0 if not defined, 2 when variable, 3 function)
⎕LX can contain a single character for execution after the ws has been loaded
⎕EX 'EXAMPLE' erases the object called EXAMPLE
⎕NULL NULL item

Commands

Command Meaning
)WSID Workspace Id
)FNS defined Functions in the current Workspace
)VARS defined Variables in the workspace
)CLEAR clear Workspace
)ERASE erase defined function or variable (Rarg)
)LIB shows workspaces stored on the disc
)SAVE saves an exact copy of the current workspace onto the disc
)LOAD loads into the active workspace an exact copy of a previously )SAVEd ws
)DROP deletes a specified previously saved workspace from the disc
)COPY copies specific functions from specified ws on disc to the current ws
)PCOPY the same as )COPY but don't overload names which are already defined in the current ws
)OFF logoff (losing workspace)
)CONTINUE logoff with autosave, ws is saved as CONTINUE