How to “scale” a numpy array?

Question

I would like to scale an array of shape (h, w) by a factor of n, resulting in an array of shape (h*n, w*n), with the.

Say that I have a 2x2 array:

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Answer 1

To scale effectively I use following approach. Works 5 times faster than repeat and 10 times faster that kron. First, initialise target array, to fill scaled array in-place. And predefine slices to win few cycles:

K = 2   # scale factor
a_x = numpy.zeros((h * K, w *K), dtype = a.dtype)   # upscaled array
Y = a_x.shape[0]
X = a_x.shape[1]
myslices = []
for y in range(0, K) :
    for x in range(0, K) :
        s = slice(y,Y,K), slice(x,X,K)
        myslices.append(s)

Now this function will do the scale:

def scale(A, B, slices):        # fill A with B through slices
    for s in slices: A[s] = B

Or the same thing simply in one function:

def scale(A, B, k):     # fill A with B scaled by k
    Y = A.shape[0]
    X = A.shape[1]
    for y in range(0, k):
        for x in range(0, k):
            A[y:Y:k, x:X:k] = B