Primitive operator

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A primitive operator is a kind of operator which is defined by the language. Like a primitive function, a primitive operator is written with a single glyph in APL but may use multiple characters in other languages. The one exception to the single-glyph rule is the Outer Product, which is written ∘.. While some dialects consider the outer product to be a case of the dyadic operator Inner Product with a Jot (which they interpret as ⊂⍬) as its left operand, others consider it to be a primitive monadic operator on its own.

Primitive operators have historically been very limited, a condition which has caused greater variety in modern operators than in functions as language designers have extended the scope of operators in different ways. Iverson notation did not have a unified concept of an operator, and considered everything which is now an APL operator to be a form of special syntax. APL\360 generalized the concept of an operator, but defined only a small number of them: reductions, scans, inner products, and outer products. These operators applied only to primitive functions.

Dialects which are notable for introducing many primitive operators include SHARP APL, J, Dyalog APL (which has adopted some operators from J), and NARS2000.

APL features [edit]
Built-ins Primitives (functions, operators) ∙ Quad name
Array model ShapeRankDepthBoundIndex (Indexing) ∙ AxisRavelRavel orderElementScalarVectorMatrixSimple scalarSimple arrayNested arrayCellMajor cellSubarrayEmpty arrayPrototype
Data types Number (Boolean, Complex number) ∙ Character (String) ∙ BoxNamespaceFunction array
Concepts and paradigms Conformability (Scalar extension, Leading axis agreement) ∙ Scalar function (Pervasion) ∙ Identity elementComplex floorArray ordering (Total) ∙ Tacit programming (Function composition, Close composition) ∙ GlyphLeading axis theoryMajor cell search