def test_is_log_deriv_k_t_radical():
DE = DifferentialExtension(extension={'D': [Poly(1, x)], 'E_K': [], 'L_K': [],
'E_args': [], 'L_args': []})
assert is_log_deriv_k_t_radical(Poly(2*x, x), Poly(1, x), DE) is None
DE = DifferentialExtension(extension={'D': [Poly(1, x), Poly(2*t1, t1), Poly(1/x, t2)],
'L_K': [2], 'E_K': [1], 'L_args': [x], 'E_args': [2*x]})
assert is_log_deriv_k_t_radical(Poly(x + t2/2, t2), Poly(1, t2), DE) == \
([(t1, 1), (x, 1)], t1*x, 2, 0)
# TODO: Add more tests
DE = DifferentialExtension(extension={'D': [Poly(1, x), Poly(t0, t0), Poly(1/x, t)],
'L_K': [2], 'E_K': [1], 'L_args': [x], 'E_args': [x]})
assert is_log_deriv_k_t_radical(Poly(x + t/2 + 3, t), Poly(1, t), DE) == \
([(t0, 2), (x, 1)], x*t0**2, 2, 3)
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