def test_singularities():
assert singularities(1, x) == set()
assert singularities(x**2, x) == set()
assert singularities(x / (x**2 + 3 * x + 2), x) == {-2, -1}
assert singularities(1 / (1 + x), x) == {-1}
assert singularities(1 / (1 + x)**2, x) == {-1}
assert singularities(sign(x), x) == {0}
def test_singularities_non_rational():
assert singularities(exp(1 / x), x) == {0}
assert singularities(log((x - 2)**2), x) == {2}
assert singularities(exp(1 / x) + log(x + 1), x) == {-1, 0}
assert singularities(exp(1 / log(x + 1)), x) == {0}
def test_singularities():
assert singularities(x**2, x) == set()
assert singularities(x/(x**2 + 3*x + 2), x) == {-2, -1}
assert singularities(1/(1 + x), x) == {-1}
assert singularities(sign(x), x) == {0}
def test_singularities_non_rational():
assert singularities(exp(1/x), x) == {0}
assert singularities(log((x - 2)**2), x) == {2}
assert singularities(exp(1/x) + log(x + 1), x) == {-1, 0}
assert singularities(exp(1/log(x + 1)), x) == {0}
