def test_zzx_diff():
assert zzx_diff([]) == []
assert zzx_diff([7]) == []
assert zzx_diff([2,7]) == [2]
assert zzx_diff([1,2,1]) == [2,2]
assert zzx_diff([1,2,3,4]) == [3,4,3]
assert zzx_diff([1,-1,0,0,2]) == [4,-3,0,0]
f = [17,34,56,-345,23,76,0,0,12,3,7]
assert zzx_diff(f, 2) == zzX_diff(zzX_diff(f))
assert zzx_diff(f, 3) == zzX_diff(zzX_diff(zzX_diff(f)))
assert zzx_diff(f, 4) == zzX_diff(zzX_diff(zzX_diff(zzX_diff(f))))
def test_zzx_diff():
assert zzx_diff([]) == []
assert zzx_diff([7]) == []
assert zzx_diff([2, 7]) == [2]
assert zzx_diff([1, 2, 1]) == [2, 2]
assert zzx_diff([1, 2, 3, 4]) == [3, 4, 3]
assert zzx_diff([1, -1, 0, 0, 2]) == [4, -3, 0, 0]
f = [17, 34, 56, -345, 23, 76, 0, 0, 12, 3, 7]
assert zzx_diff(f, 2) == zzX_diff(zzX_diff(f))
assert zzx_diff(f, 3) == zzX_diff(zzX_diff(zzX_diff(f)))
assert zzx_diff(f, 4) == zzX_diff(zzX_diff(zzX_diff(zzX_diff(f))))
def test_zzX_diff():
assert zzX_diff([]) == []
assert zzX_diff([[]]) == [[]]
assert zzX_diff([[[]]]) == [[[]]]
assert zzX_diff([[[1], [2]]]) == [[[]]]
assert zzX_diff([[[1]], [[]]]) == [[[1]]]
assert zzX_diff([[[3]], [[1]], [[]]]) == [[[6]], [[1]]]
assert zzX_diff([1,-1,0,0,2]) == [4,-3,0,0]
f = zzX_from_poly(W_1)
assert zzX_diff(f, 2) == zzX_diff(zzX_diff(f))
assert zzX_diff(f, 3) == zzX_diff(zzX_diff(zzX_diff(f)))
assert zzX_diff(f, 4) == zzX_diff(zzX_diff(zzX_diff(zzX_diff(f))))
assert zzX_diff_for(f, 2, 2) == zzX_swap(zzX_diff(zzX_swap(f, 1, 2), 2), 1, 2)
assert zzX_diff_for(f, 2, 3) == zzX_swap(zzX_diff(zzX_swap(f, 1, 2), 3), 1, 2)
assert zzX_diff_for(f, 3, 2) == zzX_swap(zzX_diff(zzX_swap(f, 1, 3), 2), 1, 3)
assert zzX_diff_for(f, 3, 3) == zzX_swap(zzX_diff(zzX_swap(f, 1, 3), 3), 1, 3)
def test_zzX_diff():
assert zzX_diff([]) == []
assert zzX_diff([[]]) == [[]]
assert zzX_diff([[[]]]) == [[[]]]
assert zzX_diff([[[1], [2]]]) == [[[]]]
assert zzX_diff([[[1]], [[]]]) == [[[1]]]
assert zzX_diff([[[3]], [[1]], [[]]]) == [[[6]], [[1]]]
assert zzX_diff([1, -1, 0, 0, 2]) == [4, -3, 0, 0]
f = zzX_from_poly(W_1)
assert zzX_diff(f, 2) == zzX_diff(zzX_diff(f))
assert zzX_diff(f, 3) == zzX_diff(zzX_diff(zzX_diff(f)))
assert zzX_diff(f, 4) == zzX_diff(zzX_diff(zzX_diff(zzX_diff(f))))
assert zzX_diff_for(f, 2, 2) == zzX_swap(zzX_diff(zzX_swap(f, 1, 2), 2), 1,
2)
assert zzX_diff_for(f, 2, 3) == zzX_swap(zzX_diff(zzX_swap(f, 1, 2), 3), 1,
2)
assert zzX_diff_for(f, 3, 2) == zzX_swap(zzX_diff(zzX_swap(f, 1, 3), 2), 1,
3)
assert zzX_diff_for(f, 3, 3) == zzX_swap(zzX_diff(zzX_swap(f, 1, 3), 3), 1,
3)