def mask_func(pattern):
"""
Return the mask function for the given mask pattern.
"""
if pattern == 0: # 000
return lambda i, j: (i + j) % 2 == 0
if pattern == 1: # 001
return lambda i, j: i % 2 == 0
if pattern == 2: # 010
return lambda i, j: j % 3 == 0
if pattern == 3: # 011
return lambda i, j: (i + j) % 3 == 0
if pattern == 4: # 100
return lambda i, j: (math.floor(i / 2) + math.floor(j / 3)) % 2 == 0
if pattern == 5: # 101
return lambda i, j: (i * j) % 2 + (i * j) % 3 == 0
if pattern == 6: # 110
return lambda i, j: ((i * j) % 2 + (i * j) % 3) % 2 == 0
if pattern == 7: # 111
return lambda i, j: ((i * j) % 3 + (i + j) % 2) % 2 == 0
raise TypeError("Bad mask pattern: " + pattern) # pragma: no cover
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