Efficient way to shift 2D-matrices in both directions?

Question

Given a two dimensional matrix, e.g.

l = [[1,1,1],
     [2,5,2],
     [3,3,3]])

What is the most efficient way of implementing a shift operatio

Answer 1

Numpy provides a method called roll() to shift entries.

>>> import numpy as np
>>> x = np.arange(9)
>>> x = x.reshape(3, 3)
>>> print(x)

[[0 1 2]
 [3 4 5]
 [6 7 8]]

>>> x = np.roll(x, -1, axis=0) # up
>>> print(x)

[[3 4 5]
 [6 7 8]
 [0 1 2]]

>>> x = np.roll(x, 1, axis=0) # down
>>> print(x)

[[0 1 2]
 [3 4 5]
 [6 7 8]]

>>> x = np.roll(x, 2, axis=1) # right
>>> print(x)

[[1 2 0]
 [4 5 3]
 [7 8 6]]

>>> x = np.roll(x, -2, axis=1) # left
>>> print(x)    

[[0 1 2]
 [3 4 5]
 [6 7 8]]

I guess that Numpy will be pretty efficient compared to most solutions
in terms of matrix operations and you won't be bound to a 2 dimensional matrix.