#!/usr/bin/env python3
import numpy as np

def tile_transform(phi, out_shape):
    a = np.array(phi)
    h_out, w_out = out_shape
    h_in, w_in = a.shape
    reps_h = (h_out + h_in - 1) // h_in
    reps_w = (w_out + w_in - 1) // w_in
    tiled = np.tile(a, (reps_h, reps_w))
    return tiled[:h_out, :w_out]

class ShiftedTile:
    def __init__(self, shift=(1,1), factor=3):
        self.shift = shift
        self.factor = factor
    def apply(self, phi):
        h,w = phi.shape
        tiled = tile_transform(phi, (h*self.factor, w*self.factor))
        return np.roll(tiled, shift=self.shift, axis=(0,1))

if __name__ == '__main__':
    inp = np.array([[0,7,7],[7,7,7],[0,7,7]])
    T = ShiftedTile()
    out = T.apply(inp)
    out_resized = tile_transform(out, inp.shape) if out.shape != inp.shape else out
    print("Changed cells:", int((out_resized != inp).sum()))