Reverse Compose
⍛

Reverse Compose (⍛
), also known as Before, is a primitive operator closely related to Compose (∘
), also known as After. Called dyadically with function operands f
and g
, it uses f
monadically to preprocesses the left argument before applying g
between the preprocessed left argument and the given right argument. X f⍛g Y
is thus equivalent to (f X) g Y
. The operator can be defined as the dop {(⍺⍺ ⍺) ⍵⍵ ⍵}
. Reverse compose was introduced in Extended Dyalog APL, and then adopted into dzaima/APL.
Common usage
Its plain usage is to preprocess left arguments without needing one or more applications of Commute (⍨
). For example, the square of the left argument minus the right argument can be expressed as:
3×⍨⍛2 7
It can also be combined with Compose to create the splitcompose construct. Here, we take the sign of the left argument and apply it to the absolute value of the right argument:
3 ¯1 4×⍛×∘¯2 ¯7 1 2 ¯7 1