Bind {R}←A∘fY
{R}←(f∘B)Y

The Bind operator binds an array A or B to a dyadic function f either as its left or its right argument respectively. The former may be described as left argument currying and the latter as right argument currying.

A, B and Y may be any arrays whose items are appropriate to function f. In the case where B is bound as the right argument of function f, the parentheses are required in order to distinguish between the operand B and the argument Y.

The derived function is equivalent to AfY or YfB and need not return a result.

Examples

      2 2∘⍴ ¨ 'AB'
 AA  BB
 AA  BB

      SINE ← 1∘○

      SINE 10 20 30
¯0.5440211109 0.9129452507 ¯0.9880316241

      (*∘0.5)4 16 25
2 4 5

      SQRT ← *∘.5

      SQRT 4 16 25
2 4 5

The following example uses both forms of Bind to list functions in the workspace:

      ⎕NL 3
ADD
PLUS

      ⎕∘←∘⎕VR¨↓⎕NL 3
     ∇ ADD X
[1]    →LAB⍴⍨0≠⎕NC'SUM' ⋄ SUM←0
[2]   LAB:SUM←SUM++/X
     ∇
     ∇ R←A PLUS B
[1]    R←A+B
     ∇