Rotate R←X⌽[K]Y

Y may be any array. X must be a simple integer array. The axis specification is optional. If present, K must be a simple integer scalar or one-element vector.

The value of K must be an axis of Y. If absent, the last axis of Y is implied. The form R←X⊖Y implies the first axis.

X must have the same shape as Y, excluding Y's Kth axis. Otherwise, if X is a one-element array, it will be extended to conform.

R is an array with the same shape as Y, with the elements of each of the vectors along the Kth axis of Y rotated by the value of the corresponding element of X. If the value is positive, the rotation is in the sense of right to left. If the value is negative, the rotation is in the sense of left to right.

Examples

      3 ⌽ 1 2 3 4 5 6 7
4 5 6 7 1 2 3
      ¯2 ⌽ 1 2 3 4 5
4 5 1 2 3

      M
 1  2  3  4
 5  6  7  8

 9 10 11 12
13 14 15 16

      I
0 1 ¯1 0
0 3  2 1

      I⌽[2]M
 1  6  7  4
 5  2  3  8

 9 14 11 16
13 10 15 12

      J
2 ¯3
3 ¯2
      J⌽M
 3  4  1  2
 6  7  8  5

12  9 10 11
15 16 13 14