Table 14 and Table 15 below summarise the Monadic and Dyadic primitive operators whose detailed descriptions follow in alphabetical order in this section.
Some operators may include an axis specification (indicated []in the tables). Note that in these case ⎕IO is an implicit argument of the derived function.
Table 14: Monadic Primitive Operators
| Name | Producing Monadic derived function | Producing Dyadic derived function |
|---|---|---|
| Assignment (Modified) | Xf←Y | |
| Assignment (Indexed Modified) | X[I]f←Y | |
| Assignment (Selective Modified) | (EXP X)f←Y | |
| Commute | f⍨Y | Xf⍨Y |
| Each | f¨Y | Xf¨Y |
| I-Beam | A⌶Y | X(A⌶)Y |
| Key | f⌸Y | Xf⌸Y |
| Reduction | f/Y [ ] | Xf/Y [ ] |
| Reduction First | f⌿Y [ ] | Xf⌿Y [ ] |
| Scan | f\Y [ ] | |
| Scan First | f⍀Y [ ] | |
| Spawn | f&Y | Xf&Y |
Table 15: Dyadic Primitive Operators
| Name | Producing Monadic derived function | Producing Dyadic derived function |
|---|---|---|
| At | f@gY | Xf@gY |
| Axis | f[B]Y | Xf[B]Y |
| Composition | f∘gY | Xf∘gY |
| Composition | A∘gY | |
| Composition | (f∘B)Y | |
| Inner Product | Xf.gY | |
| Outer Product | X∘.gY | |
| Power | f⍣gY | Xf⍣gY |
| Rank | f⍤kY | Xf⍤kY |
| Stencil | f⌺gY | |
| Variant | f⍠gY | Xf⍠gY |