Group (K)

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Revision as of 16:15, 31 January 2024 by Marshall (talk | contribs) (Created page with ":''This page is about the K primitive that returns a dictionary. For the primitive that returns an array introduced by BQN, see Group (BQN).'' {{Built-in|Group|<nowiki>=</nowiki>}} is a monadic function in K that returns a dictionary whose keys are the unique values in its argument and whose value for a given key is the list of indices where it appears. In versions before K4, which introduced dictionaries, Group returns only an array of the index lis...")
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This page is about the K primitive that returns a dictionary. For the primitive that returns an array introduced by BQN, see Group (BQN).
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Group (=) is a monadic function in K that returns a dictionary whose keys are the unique values in its argument and whose value for a given key is the list of indices where it appears. In versions before K4, which introduced dictionaries, Group returns only an array of the index lists, and the keys must be obtained separately.

Group can be seen as a simplified version of Key, as it contains the same information as {⍺⍵}⌸: the first result column is the dictionary keys and the second is its values. The BQN primitive also called Group can be described as a specialization of K's Group to arrays, where an array corresponds to a dictionary with natural numbers for its keys.[1]

External links

References

  1. ↑ Marshall Lochbaum. BQN's development history: Group.
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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