Template:APL built-ins: Difference between revisions

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m (Text replacement - "Direct definition (NARS)" to "Direct definition (operator)")
(Add "Primitives" super-group with link to timeline, remove "Structural functions" redlink)
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<noinclude>__NOTITLE__</noinclude>
<noinclude>__NOTITLE__</noinclude>
{| 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]]
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! 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]] ∙ [[Link]] ∙ [[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]]
|-
|-
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| [[Match]] ∙ [[Not Match]] ∙ [[Membership]] ∙ [[Find]] ∙ [[Nub Sieve]] ∙ [[Encode]] ∙ [[Decode]] ∙ [[Matrix Inverse]] ∙ [[Matrix Divide]] ∙ [[Format]] ∙ [[Execute]] ∙ [[Materialise]] ∙ [[Range]]
| [[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]] ∙ [[Expand]] ∙ [[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]]
|-
|-
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|-
|-
! [[Quad name]]s
! [[Quad name]]s
| colspan="3" | [[Index origin]] ∙ [[Comparison tolerance]] ∙ [[Migration level]] ∙ [[Atomic vector]]
| colspan="4" | [[Index origin]] ∙ [[Comparison tolerance]] ∙ [[Migration level]] ∙ [[Atomic vector]]
|}
|}

Revision as of 06:36, 17 March 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
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
Dyadic Bind ∙ Compositions (Compose, Reverse Compose, Beside, Withe, Atop, Over) ∙ Inner Product ∙ Determinant ∙ Power ∙ At ∙ Under ∙ Rank ∙ Depth ∙ Variant ∙ Stencil ∙ Cut ∙ Direct definition (operator)
Quad names Index origin ∙ Comparison tolerance ∙ Migration level ∙ Atomic vector
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