Indexing

Z←R[L], R[L]←A, and R[L]f←A are all extended to allow both Reach and Scatter indexing.

L is a nested array of integer scalars and/or vectors, suitable for indexing R.

R is an arbitrary array.

A is an arbitrary array.

Reach Indexing:   If L⊃R is valid, it is equivalent to ⊃R[⊂L], and if L⊃¨⊂R is valid, it is equivalent to R[L] Scatter Indexing:   If L⌷R is valid, it is equivalent to R[⊃∘.,/L], and if L⌷¨⊂R is valid, it is equivalent to ⊂¨R[⊂¨L]

Both Reach and Scatter indexing may appear together within a single instance of R[L], R[L]←A, and R[L]f←A

These functions are sensitive to ⎕IO.

For example, in origin-1

      V←'123'(⊂4 5)
      V[1 (2 ⍬ 1)]
 123 4

      M←2 2⍴(10 20) (30 40 'abc') 50 60
      M[(1 1)((1 2) 3)]
 10 20  abc

Z←R[L], R[L]←A, R[L]f←A, L⌷R, L⍉R, and L⊃R are all extended to allow negative values in L.

For all but transpose, L is a nested array of integer scalars and/or vectors, suitable for indexing R; for transpose, L is an integer scalar or vector of integers, suitable for transposing R.

That is, if the largest allowed value for L is N, then the previous allowable range of values was ⎕IO to N, inclusive. Now, the allowable range of values is 1 ¯1[1]-N to N, inclusive. For example, A, A[⍳⍴A], A[⍳-⍴A], and even A[⍳¯1 1[?(⍴⍴A)⍴2]×⍴A] are all identical for any array A in either origin. Also, A, (⍳⍴⍴A)⍉A, and (⍳-⍴⍴A)⍉A are all identical for any array A in either origin.

R is an arbitrary array.

A is an arbitrary array.

These functions are sensitive to ⎕IO.

For example, in origin-1

      V←'123'(⊂4 5)
      V[¯1 (0 ⍬ ¯1)]
 123 4