First: Difference between revisions

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Miraheze>Marshall
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Miraheze>Adám Brudzewsky
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{{Primitives|⊃|↑|First}} is a [[monadic function]] which extracts the first [[element]] in [[ravel order]] from its argument, or, if the argument is [[empty]], returns its [[prototype]]. In a [[Nested array model|nested]] APL, First reduces the positive [[depth]] of an argument other than a [[simple scalar]] by at least one; in a [[Flat array model|flat]] APL it does not change the depth. A flat array language may also use the [[Head]] function to get the first [[major cell]] of its argument rather than the first 0-[[cell]]. In this case First can be obtained by taking the Head of the [[Ravel]] of the argument.
{{Built-ins|First|x|↑}} is a [[monadic function]] which extracts the first [[element]] in [[ravel order]] from its argument, or, if the argument is [[empty]], returns its [[prototype]]. In a [[Nested array model|nested]] APL, First reduces the positive [[depth]] of an argument other than a [[simple scalar]] by at least one; in a [[Flat array model|flat]] APL it does not change the depth. A flat array language may also use the [[Head]] function to get the first [[major cell]] of its argument rather than the first 0-[[cell]]. In this case First can be obtained by taking the Head of the [[Ravel]] of the argument.


{{APL built-ins}}
{{APL built-ins}}

Revision as of 08:36, 31 October 2019

x ↑

First (x, ↑) is a monadic function which extracts the first element in ravel order from its argument, or, if the argument is empty, returns its prototype. In a nested APL, First reduces the positive depth of an argument other than a simple scalar by at least one; in a flat APL it does not change the depth. A flat array language may also use the Head function to get the first major cell of its argument rather than the first 0-cell. In this case First can be obtained by taking the Head of the Ravel of the argument.


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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