Mixed rank functions are summarised in Table 10. For convenience, they are sub-divided into five classes:

Table 10: Mixed rank functions

In general, the structure of the result of a mixed primitive function is different from that of its arguments.

Scalar extension may apply to some, but not all, dyadic mixed functions.

Mixed primitive functions are not pervasive. The function is applied to elements of the arguments, not necessarily independently.

'CAT' 'DOG' 'MOUSE'⍳⊂'DOG' 2 3↑ 1 'TWO' 3 'FOUR' 1 TWO 3

In the following tables, note that:

- [] Implies axis specification is optional
- $ This function is in another class

Table 11: Structural Primitive Functions

Symbol | Monadic | Dyadic |
---|---|---|

⍴ | $ | Reshape |

, | Ravel [] | Catenate/Laminate[] |

⍪ | Table | Catenate First / Laminate [] |

⌽ | Reverse [] | Rotate [] |

⊖ | Reverse First [] | Rotate First [] |

⍉ | Transpose | Transpose |

↑ | Mix/Disclose (First) [] | $ |

↓ | Split [] | $ |

⊂ | Enclose [] | Partitioned Enclose [] |

∊ | Enlist (See Type) | $ |

Table 12: Selection Primitive Functions

Symbol | Monadic | Dyadic |
---|---|---|

⊃ | Disclose /Mix | Pick |

↑ | $ | Take [] |

↓ | $ | Drop [] |

/ | Replicate [] | |

⌿ | Replicate First [] | |

\ | Expand [] | |

⍀ | Expand First [] | |

~ | $ | Without (Excluding) |

∩ | Intersection | |

∪ | Unique | Union |

⊣ | Same | Left |

⊢ | Identity | Right |

Table 13: Selector Primitive Functions

Symbol | Monadic | Dyadic |
---|---|---|

⍳ | Index Generator | Index Of |

∊ | $ | Membership |

⍋ | Grade Up | Grade Up |

⍒ | Grade Down | Grade Down |

? | $ | Deal |

⍷ | Find |

Table 14: Miscellaneous Primitive Functions

Symbol | Monadic | Dyadic |
---|---|---|

⍴ | Shape | $ |

≡ | Depth | Match |

≢ | Tally | Not Match |

⍎ | Execute | Execute |

⍕ | Format | Format |

⊥ | Decode (Base) | |

⊤ | Encode (Representation) | |

⌹ | Matrix Divide | Matrix Inverse |

Table 15: Special Primitive Functions

Symbol | Monadic | Dyadic |
---|---|---|

→ | Abort | |

→ | Branch | |

← | $ | Assignment |

[I]← | $ | Assignment(Indexed) |

(I)← | Assignment(Selective) | |

[] | Indexing |