def test_ace():
assert_almost_equal(ace(np.array([2, 0])), 1.0)
assert_almost_equal(ace(np.array([12, 0, 9])), 2.0)
assert_almost_equal(ace(np.array([12, 2, 8])), 3.0)
assert_almost_equal(ace(np.array([12, 2, 1])), 4.0)
assert_almost_equal(ace(np.array([12, 1, 2, 1])), 7.0)
assert_almost_equal(ace(np.array([12, 3, 2, 1])), 4.6)
assert_almost_equal(ace(np.array([12, 3, 6, 1, 10])), 5.62749672)
# Just returns the number of OTUs when all are abundant.
assert_almost_equal(ace(np.array([12, 12, 13, 14])), 4.0)
# Border case: only singletons and 10-tons, no abundant OTUs.
assert_almost_equal(ace([0, 1, 1, 0, 0, 10, 10, 1, 0, 0]), 9.35681818182)
def test_ace_only_rare_singletons():
with assert_raises(ValueError):
ace([0, 0, 43, 0, 1, 0, 1, 42, 1, 43])
