Template:APL built-ins: Difference between revisions

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(Add Imaginary (monadic form of Complex))
m (add Round and identity operators)
 
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{| class="wikitable <includeonly>{{{1|mw-collapsible mw-collapsed}}}</includeonly>" style="width:100%"
{| class="wikitable <includeonly>{{{1|mw-collapsible mw-collapsed}}}</includeonly>" style="width:100%"
! colspan=4 | '''<big>APL built-ins</big>''' [[{{fullurl:Template:APL_built-ins|action=edit}} edit]]
! colspan=5 | '''<big>APL built-ins</big>''' [[{{fullurl:Template:APL_built-ins|action=edit}} edit]]
|-
|-
! rowspan="9" style="width:6em;" | [[Primitive function]]s
! rowspan="11 style="width:6em;" | [[Primitive]]s ([[Timeline of APL primitives|Timeline]]) || rowspan="9" style="width:6em;" | [[Primitive function|Function]]s
|-
|-
! rowspan="3" style="width:6em;" | [[Scalar function|Scalar]]
! rowspan="3" style="width:6em;" | [[Scalar function|Scalar]]
|-
|-
! style="width:6em;" | Monadic
! style="width:6em;" | Monadic
| [[Conjugate]] ∙ [[Negate]] ∙ [[Signum]] ∙ [[Reciprocal]] ∙ [[Magnitude]] ∙ [[Exponential]] ∙ [[Natural Logarithm]] ∙ [[Floor]] ∙ [[Ceiling]] ∙ [[Factorial]] ∙ [[Not]] ∙ [[Pi Times]] ∙ [[Imaginary]] ∙ [[Roll]] ∙ [[Type]]
| [[Conjugate]] ∙ [[Negate]] ∙ [[Signum]] ∙ [[Reciprocal]] ∙ [[Magnitude]] ∙ [[Exponential]] ∙ [[Natural Logarithm]] ∙ [[Floor]] ∙ [[Ceiling]] ∙ [[Factorial]] ∙ [[Not]] ∙ [[Pi Times]] ∙ [[Roll]] ∙ [[Type]] ∙ [[Imaginary]] ∙ [[Square Root]] ∙ [[Round]]
|-
|-
! Dyadic
! Dyadic
| [[Add]] ∙ [[Subtract]] ∙ [[Times]] ∙ [[Divide]] ∙ [[Residue]] ∙ [[Power (function)]] ∙ [[Logarithm]] ∙ [[Minimum]] ∙ [[Maximum]] ∙ [[Binomial]] ∙ [[Comparison function]]s ∙ [[Boolean#Boolean_functions|Boolean functions]] ([[And]], [[Or]], [[Nand]], [[Nor]]) ∙ [[GCD]] ∙ [[LCM]] ∙ [[Circular]] ∙ [[Complex (function)|Complex]]
| [[Add]] ∙ [[Subtract]] ∙ [[Times]] ∙ [[Divide]] ∙ [[Residue]] ∙ [[Power (function)|Power]] ∙ [[Logarithm]] ∙ [[Minimum]] ∙ [[Maximum]] ∙ [[Binomial]] ∙ [[Comparison function]]s ∙ [[Boolean#Boolean_functions|Boolean functions]] ([[And]], [[Or]], [[Nand]], [[Nor]]) ∙ [[GCD]] ∙ [[LCM]] ∙ [[Circular]] ∙ [[Complex (function)|Complex]] ∙ [[Root]]
|-
|-
! rowspan="5" | [[Mixed function|Non-Scalar]]
! rowspan="5" | [[Mixed function|Non-Scalar]]
|-
|-
! [[Structural function|Structural]]
! Structural
| [[Shape]] ∙ [[Reshape]] ∙ [[Tally]] ∙ [[Depth]] ∙ [[Ravel]] ∙ [[Enlist]] ∙ [[Table]] ∙ [[Catenate]] ∙ [[Reverse]] ∙ [[Rotate]] ∙ [[Transpose]] ∙ [[Raze]] ∙ [[Mix]] ∙ [[Split]] ∙ [[Enclose]] ∙ [[Nest]] ∙ [[Cut (K)]] ∙ [[Pair]] ∙ [[Partitioned Enclose]] ∙ [[Partition]]
| [[Shape]] ∙ [[Reshape]] ∙ [[Tally]] ∙ [[Depth]] ∙ [[Ravel]] ∙ [[Enlist]] ∙ [[Table]] ∙ [[Catenate]] ∙ [[Reverse]] ∙ [[Rotate]] ∙ [[Transpose]] ∙ [[Raze]] ∙ [[Mix]] ∙ [[Split]] ∙ [[Enclose]] ∙ [[Nest]] ∙ [[Cut (K)]] ∙ [[Pair]] ∙ [[Link]] ∙ [[Partitioned Enclose]] ∙ [[Partition]]
|-
|-
! Selection
! Selection
| [[First]] ∙ [[Pick]] ∙ [[Take]] ∙ [[Drop]] ∙ [[Unique]] ∙ [[Identity]] ∙ [[Select]] ∙ [[Replicate]] ∙ [[Expand]] ∙ [[Set function]]s ([[Intersection]] ∙ [[Union]] ∙ [[Without]]) ∙ [[Bracket index]] ∙ [[Squad Indexing]]
| [[First]] ∙ [[Pick]] ∙ [[Take]] ∙ [[Drop]] ∙ [[Unique]] ∙ [[Identity]] ∙ [[Stop]] ∙ [[Select]] ∙ [[Replicate]] ∙ [[Expand]] ∙ [[Set function]]s ([[Intersection]] ∙ [[Union]] ∙ [[Without]]) ∙ [[Bracket indexing]] ∙ [[Index (function)|Index]] ∙ [[Cartesian Product]] ∙ [[Sort]]
|-
|-
! Selector
! Selector
| [[Index generator]] ∙ [[Grade]] ∙ [[Index Of]] ∙ [[Interval Index]] ∙ [[Indices]] ∙ [[Deal]]
| [[Index generator]] ∙ [[Grade]] ∙ [[Index Of]] ∙ [[Interval Index]] ∙ [[Indices]] ∙ [[Deal]] ∙ [[Prefix and suffix vectors]]
|-
|-
! Computational
! Computational
| [[Match]] ∙ [[Not Match]] ∙ [[Membership]] ∙ [[Find]] ∙ [[Nub Sieve]] ∙ [[Encode]] ∙ [[Decode]] ∙ [[Matrix Inverse]] ∙ [[Matrix Divide]] ∙ [[Format]] ∙ [[Execute]] ∙ [[Materialise]]
| [[Match]] ∙ [[Not Match]] ∙ [[Membership]] ∙ [[Find]] ∙ [[Nub Sieve]] ∙ [[Encode]] ∙ [[Decode]] ∙ [[Matrix Inverse]] ∙ [[Matrix Divide]] ∙ [[Format]] ∙ [[Execute]] ∙ [[Materialise]] ∙ [[Range]]
|-
|-
! rowspan="2" | [[Primitive operator]]s !! Monadic
! rowspan="2" | [[Primitive operator|Operator]]s !! Monadic
| colspan="2" | [[Each]] ∙ [[Commute]] ∙ [[Constant]] ∙ [[Replicate]] ∙ [[Reduce]] ∙ [[Windowed Reduce]] ∙ [[Scan]] ∙ [[Outer Product]] ∙ [[Key]] ∙ [[I-beam]] ∙ [[Spawn]] ∙ [[Function axis]]
| colspan="2" | [[Each]] ∙ [[Commute]] ∙ [[Constant]] ∙ [[Replicate]] ∙ [[Expand]] ∙ [[Reduce]] ∙ [[Windowed Reduce]] ∙ [[Scan]] ∙ [[Outer Product]] ∙ [[Key]] ∙ [[I-Beam]] ∙ [[Spawn]] ∙ [[Function axis]] ∙ [[Identity operator|Identity]] (Null, Ident)
|-
|-
! Dyadic
! Dyadic
| colspan="2" | [[Inner Product]] ∙ [[Power (operator)]] ∙ [[Rank (operator)]] ∙ [[Bind]] ∙ [[Beside]] ∙ [[Reverse Compose]] ∙ [[Atop]] ∙ [[Over]] ∙ [[At]] ∙ [[Variant]] ∙ [[Stencil]]
| colspan="2" | [[Bind]] ∙ [[Function composition|Composition]]s ([[Compose]], [[Reverse Compose]], [[Beside]], [[Withe]], [[Atop (operator)|Atop]], [[Over]]) ∙ [[Inner Product]] ∙ [[Determinant]] ∙ [[Power (operator)|Power]] ∙ [[At]] ∙ [[Under]] ∙ [[Rank (operator)|Rank]] ∙ [[Depth (operator)|Depth]] ∙ [[Variant]] ∙ [[Stencil]] ∙ [[Cut]] ∙ [[Direct definition (operator)]] ∙ [[Identity operator|Identity]] (Lev, Dex)
|-
|-
! rowspan="4" | [[Quad name]]s
! [[Quad name]]s
|-
| colspan="4" | [[Index origin]] ∙ [[Comparison tolerance]] ∙ [[Migration level]] ∙ [[Atomic vector]]
! Arrays
| colspan="2" | [[Index origin]] ∙ [[Migration level]]
|-
! [[System function|Functions]]
| colspan="2" |
|-
! Operators
| colspan="2" |
|}
|}

Latest revision as of 06:49, 1 November 2024

APL built-ins [edit]
Primitives (Timeline) Functions
Scalar
Monadic Conjugate ∙ Negate ∙ Signum ∙ Reciprocal ∙ Magnitude ∙ Exponential ∙ Natural Logarithm ∙ Floor ∙ Ceiling ∙ Factorial ∙ Not ∙ Pi Times ∙ Roll ∙ Type ∙ Imaginary ∙ Square Root ∙ Round
Dyadic Add ∙ Subtract ∙ Times ∙ Divide ∙ Residue ∙ Power ∙ Logarithm ∙ Minimum ∙ Maximum ∙ Binomial ∙ Comparison functions ∙ Boolean functions (And, Or, Nand, Nor) ∙ GCD ∙ LCM ∙ Circular ∙ Complex ∙ Root
Non-Scalar
Structural Shape ∙ Reshape ∙ Tally ∙ Depth ∙ Ravel ∙ Enlist ∙ Table ∙ Catenate ∙ Reverse ∙ Rotate ∙ Transpose ∙ Raze ∙ Mix ∙ Split ∙ Enclose ∙ Nest ∙ Cut (K) ∙ Pair ∙ Link ∙ Partitioned Enclose ∙ Partition
Selection First ∙ Pick ∙ Take ∙ Drop ∙ Unique ∙ Identity ∙ Stop ∙ Select ∙ Replicate ∙ Expand ∙ Set functions (Intersection ∙ Union ∙ Without) ∙ Bracket indexing ∙ Index ∙ Cartesian Product ∙ Sort
Selector Index generator ∙ Grade ∙ Index Of ∙ Interval Index ∙ Indices ∙ Deal ∙ Prefix and suffix vectors
Computational Match ∙ Not Match ∙ Membership ∙ Find ∙ Nub Sieve ∙ Encode ∙ Decode ∙ Matrix Inverse ∙ Matrix Divide ∙ Format ∙ Execute ∙ Materialise ∙ Range
Operators Monadic Each ∙ Commute ∙ Constant ∙ Replicate ∙ Expand ∙ Reduce ∙ Windowed Reduce ∙ Scan ∙ Outer Product ∙ Key ∙ I-Beam ∙ Spawn ∙ Function axis ∙ Identity (Null, Ident)
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator) ∙ Identity (Lev, Dex)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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