def test_solve_one_tile_problem():
tile = TETROMINOS["T"]
tileset = many(tile)
board = Irregular(tile)
problem = board.tile_with_set(tileset)
solution = problem.solve()
assert solution is not None
def test_solve_simple_tileset_with_0():
squares = [(0, 0), (0, 1), (1, 1), (1, 2)]
tileset = many(DOMINO).and_repeated_exactly(0, MONOMINO)
problem = Irregular(squares).tile_with_set(tileset)
solution = problem.solve()
expected = [[(0, 0), (0, 1)], [(1, 1), (1, 2)]]
assert solution.tiling == expected
def test_solve_arbitrary_two_tile_problem(tile):
tile = TETROMINOS["T"]
tileset = many(tile)
board = Irregular(tile + [(x, y + 100) for x, y in tile])
problem = board.tile_with_set(tileset)
solution = problem.solve()
assert solution is not None
def test_solve_rotated_one_tile_problem():
tile = TETROMINOS["T"]
tileset = many(tile)
board = Irregular([(1, 0), (0, 1), (1, 1), (1, 2)])
problem = board.tile_with_set(tileset)
solution = problem.solve()
assert solution is not None
def test_rotated_one_tile_problem_is_correct():
tile = TETROMINOS["T"]
tileset = many(tile)
board = Irregular([(1, 0), (0, 1), (1, 1), (1, 2)])
problem = board.tile_with_set(tileset)
problem.make_problem()
a = problem.array
assert a.shape == (1, 4)
def test_one_tile_problem_is_correct_with_heuristics():
tile = TETROMINOS["T"]
tileset = many(tile)
board = Irregular(tile)
problem = board.tile_with_set(tileset).with_heuristics()
problem.make_problem()
a = problem.array
assert a.shape == (1, 4)
def test_13_cylinder_look_for_row():
board = Irregular(make_13_cylinder())
problem = board.tile_with_many(TETROMINOS["T"])
problem.make_problem()
a = problem.array
expected = np.array([144, 145, 146, 160])
assert any([(row.nonzero() == expected).all() for row in a])
expected = np.array([128, 144, 145, 146])
assert any([(row.nonzero() == expected).all() for row in a])
def test_remove_from_irregular_gen():
squares = [(0, 0), (0, 1), (1, 1), (1, 2), (1, 3)]
def gen_sq():
for sq in squares:
yield sq
board = Irregular(gen_sq())
assert set(board.squares) == set(squares)
trimmed = board.remove((1, 3))
assert set(trimmed.squares) == set([(0, 0), (0, 1), (1, 1), (1, 2)])
def test_not_too_many_tile_positions(tile, x, y):
assume(x * y % len(tile) == 0)
tileset = many(tile)
rectangle = Rectangle(x, y)
board = Irregular(set(rectangle.squares + tile))
assume(len(board.squares) % len(tile) == 0)
expected_size = x * y
max_positions = 4 * expected_size
problem = board.tile_with_set(tileset)
problem.make_problem()
a = problem.array
n_positions, size = a.shape
assert size == expected_size
assert n_positions <= max_positions
def test_13_cylinder_problem():
board = Irregular(make_13_cylinder())
problem = board.tile_with_many(TETROMINOS["T"])
problem.make_problem()
a = problem.array
assert a.shape[1] == 16 * 13
assert 16 * 13 < a.shape[0] < 8 * 16 * 13
col_sums = np.sum(a, 0)
assert min(col_sums) == 1
assert max(col_sums) == 16
row_sums = np.sum(a, 1)
assert min(row_sums) == 4
assert max(row_sums) == 4
def test_13_cylinder():
board = Irregular(make_13_cylinder())
problem = board.tile_with_many(TETROMINOS["T"])
solution = problem.solve()
assert solution is not None
def test_12_x_16_with_irregular():
board = Irregular([(i, j) for i in range(0, 12) for j in range(0, 16)])
problem = board.tile_with_many(TETROMINOS["T"])
solution = problem.solve()
assert solution is not None
def test_remove_from_irregular():
squares = [(0, 0), (0, 1), (1, 1), (1, 2), (1, 3)]
board = Irregular(squares)
assert set(board.squares) == set(squares)
trimmed = board.remove((1, 3))
assert set(trimmed.squares) == set([(0, 0), (0, 1), (1, 1), (1, 2)])
def test_adjusted_square_irregular():
squares = [(3, -2), (3, -1), (4, -1), (4, 0), (4, 1)]
board = Irregular(squares)
expected = [(0, 0), (0, 1), (1, 1), (1, 2), (1, 3)]
assert board.adjusted == expected
def test_solve_simple_with_negative():
squares = [(0, -2), (0, -1), (1, -1), (1, 0)]
problem = Irregular(squares).tile_with_many(DOMINO)
solution = problem.solve()
expected = [[(0, -2), (0, -1)], [(1, -1), (1, 0)]]
assert solution.tiling == expected
def test_solve_impossible_even_to_place_one_tile():
squares = [(0, 0), (0, 1), (1, 0), (1, 1)]
problem = Irregular(squares).tile_with_many(TETROMINOS["T"])
with pytest.raises(PolyominoError):
solution = problem.solve()
def test_solve_impossible_not_wrong_modulus():
squares = [(0, 0), (0, 1), (1, 1), (0, 2)]
problem = Irregular(squares).tile_with_many(DOMINO)
solution = problem.solve()
assert solution == None
def test_solve_impossible():
squares = [(0, 0), (0, 1), (1, 1)]
with pytest.raises(PolyominoError):
problem = Irregular(squares).tile_with_many(DOMINO)
