SHARP APL: Difference between revisions

From APL Wiki
Jump to navigation Jump to search
Miraheze>Marshall
(Primitive function tables)
 
Miraheze>Marshall
(Primitive operator table)
Line 149: Line 149:
|-
|-
| <source lang=apl inline>⍎</source> || * || [[Execute]]              ||    ||
| <source lang=apl inline>⍎</source> || * || [[Execute]]              ||    ||
|}
== Primitive Operators ==
=== Operators ===
{| class=wikitable
! Glyph !!colspan=2|Operands !!colspan=2|Ranks !! Monadic Call  !! Dyadic Call
|-
| <source lang=apl inline>/</source> ||                                    || <source lang=apl inline>f</source> || <source lang=apl inline>∞</source>  ||                                        || [[Reduce]]                      ||
|-
| <source lang=apl inline>⌿</source> ||                                    || <source lang=apl inline>f</source> || <source lang=apl inline>∞</source>  ||                                        || [[Reduce First|Reduce-down]]    ||
|-
| <source lang=apl inline>\</source> ||                                    || <source lang=apl inline>f</source> || <source lang=apl inline>∞</source>  ||                                        || [[Scan]]                        ||
|-
| <source lang=apl inline>⍀</source> ||                                    || <source lang=apl inline>f</source> || <source lang=apl inline>∞</source>  ||                                        || [[Scan First|Scan-down]]        ||
|-
| <source lang=apl inline>/</source> ||                                    || <source lang=apl inline>m</source> || <source lang=apl inline>∞</source>  ||                                        || [[Replicate|Copy]]/[[Compress]] ||
|-
| <source lang=apl inline>⌿</source> ||                                    || <source lang=apl inline>m</source> || <source lang=apl inline>∞</source>  ||                                        || [[Replicate|Copy]]-down/[[Compress]]-down ||
|-
| <source lang=apl inline>\</source> ||                                    || <source lang=apl inline>m</source> || <source lang=apl inline>∞</source>  ||                                        || [[Expand]]                      ||
|-
| <source lang=apl inline>⍀</source> ||                                    || <source lang=apl inline>m</source> || <source lang=apl inline>∞</source>  ||                                        || [[Expand First|Expand-down]]    ||
|-
| <source lang=apl inline>⊂</source> ||                                    || <source lang=apl inline>f</source> || <source lang=apl inline>∞</source>  || <source lang=apl inline>rf lf</source> ||colspan=2| Swap
|-
| <source lang=apl inline>&</source> ||                                    || <source lang=apl inline>f</source> || <source lang=apl inline>∞</source>  || <source lang=apl inline>∞  ∞</source>  ||colspan=2| Select
|-
| <source lang=apl inline>⍤</source> || <source lang=apl inline>f</source> || <source lang=apl inline>g</source> || <source lang=apl inline>mg</source> || <source lang=apl inline>mg mg</source> ||colspan=2| On ([[close Over]])
|-
| <source lang=apl inline>⍤</source> || <source lang=apl inline>f</source> || <source lang=apl inline>n</source> || <source lang=apl inline>n</source>  || <source lang=apl inline>n  n</source>  ||colspan=2| [[Rank operator|Rank]]
|-
| <source lang=apl inline>⍤</source> || <source lang=apl inline>m</source> || <source lang=apl inline>g</source> || <source lang=apl inline>mg</source> || <source lang=apl inline>mg mg</source> ||colspan=2| [[Cut operator|Cut]]
|-
| <source lang=apl inline>⍥</source> || <source lang=apl inline>f</source> || <source lang=apl inline>g</source> || <source lang=apl inline>mg</source> || <source lang=apl inline>mg mg</source> ||colspan=2| Upon ([[close Atop]])
|-
| <source lang=apl inline>¨</source> || <source lang=apl inline>f</source> || <source lang=apl inline>g</source> || <source lang=apl inline>mg</source> || <source lang=apl inline>mg mg</source> ||colspan=2| [[close Under|Under]]
|-
| <source lang=apl inline>¨</source> || <source lang=apl inline>m</source> || <source lang=apl inline>g</source> || <source lang=apl inline>mg</source> ||                                        || [[With]]                        ||
|-
| <source lang=apl inline>¨</source> || <source lang=apl inline>f</source> || <source lang=apl inline>n</source> || <source lang=apl inline>mf</source> ||                                        || [[With]]                        ||
|-
| <source lang=apl inline>.</source> || <source lang=apl inline>f</source> || <source lang=apl inline>g</source> || <source lang=apl inline>2</source>  ||                                        || [[Alternant]]                  ||
|-
| <source lang=apl inline>.</source> || <source lang=apl inline>m</source> || <source lang=apl inline>g</source> ||                                    || <source lang=apl inline>∞  ∞</source>  ||                                || [[Inner Product|Inner-product]]
|-
| <source lang=apl inline>.</source> || <source lang=apl inline>f</source> || <source lang=apl inline>m</source> || <source lang=apl inline>mf</source> || <source lang=apl inline>∞  ∞</source>  || [[Ply]]                        ||
|}
|}

Revision as of 11:39, 31 October 2019

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

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
¨ f n mf With
. f g 2 Alternant
. m g ∞ ∞ Inner-product
. f m mf ∞ ∞ Ply