Template:APL built-ins: Difference between revisions

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(Add "Primitives" super-group with link to timeline, remove "Structural functions" redlink)
m (add Round and identity operators)
 
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! style="width:6em;" | Monadic
! style="width:6em;" | Monadic
| [[Conjugate]] ∙ [[Negate]] ∙ [[Signum]] ∙ [[Reciprocal]] ∙ [[Magnitude]] ∙ [[Exponential]] ∙ [[Natural Logarithm]] ∙ [[Floor]] ∙ [[Ceiling]] ∙ [[Factorial]] ∙ [[Not]] ∙ [[Pi Times]] ∙ [[Roll]] ∙ [[Type]] ∙ [[Imaginary]] ∙ [[Square Root]]
| [[Conjugate]] ∙ [[Negate]] ∙ [[Signum]] ∙ [[Reciprocal]] ∙ [[Magnitude]] ∙ [[Exponential]] ∙ [[Natural Logarithm]] ∙ [[Floor]] ∙ [[Ceiling]] ∙ [[Factorial]] ∙ [[Not]] ∙ [[Pi Times]] ∙ [[Roll]] ∙ [[Type]] ∙ [[Imaginary]] ∙ [[Square Root]] ∙ [[Round]]
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! Dyadic
! Dyadic
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! rowspan="2" | [[Primitive operator|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]] ∙ [[Identity operator|Identity]] (Null, Ident)
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! Dyadic
! Dyadic
| 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)]]
| 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)
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! [[Quad name]]s
! [[Quad name]]s
| colspan="4" | [[Index origin]] ∙ [[Comparison tolerance]] ∙ [[Migration level]] ∙ [[Atomic vector]]
| colspan="4" | [[Index origin]] ∙ [[Comparison tolerance]] ∙ [[Migration level]] ∙ [[Atomic vector]]
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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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