def test_throws_when_given_out_of_bounds_start_index():
"""Test routine raises exception when given out of bounds index."""
n_samples = 10
n_components = 5
K = np.random.uniform(size=(n_samples, n_samples))
with pytest.raises(ValueError):
furthest_sum(K, n_components, n_samples + 10)
def test_throws_on_nonsquare_dissimilarity_matrix():
"""Test routine raises exception when given non-square input."""
n_features = 10
n_samples = 20
n_components = 2
X = np.random.uniform(size=(n_samples, n_features))
with pytest.raises(ValueError):
furthest_sum(X, n_components, 0)
def test_throws_when_start_index_is_excluded():
"""Test routine raises exception when start index is excluded."""
n_samples = 9
n_components = 8
K = np.random.uniform(size=(n_samples, n_samples))
exclude = np.arange(n_samples)
with pytest.raises(ValueError):
furthest_sum(K, n_components, 0, exclude)
def test_throws_error_when_not_enough_points():
"""Test routine raises exception when too few points."""
n_samples = 32
n_components = 5
n_exclude = n_samples - n_components + 2
K = np.random.uniform(size=(n_samples, n_samples))
exclude = np.arange(n_exclude)
assert n_components + n_exclude > n_samples
with pytest.raises(ValueError):
furthest_sum(K, n_components, n_samples - 1, exclude)
def test_returns_all_indices_when_number_of_components_equals_number_of_points(
):
"""Test routine returns all indices when all points requested."""
n_samples = 20
n_components = n_samples
K = np.random.uniform(size=(n_samples, n_samples))
result = furthest_sum(K, n_components, 5)
result = sorted(result)
has_duplicates = False
found_indices = []
for index in result:
for found_index in found_indices:
if index == found_index:
has_duplicates = True
break
found_indices.append(index)
assert not has_duplicates
expected = np.arange(n_components)
for i in range(n_components):
assert expected[i] == result[i]
def test_selects_elements_in_convex_hull():
"""Test routine correctly selects points in convex hull."""
n_samples = 10
basis = np.array([[0.0, 0.0], [1.0, 0.0], [1.0, 1.0], [0.0, 1.0]],
dtype='f8')
n_basis = basis.shape[0] # pylint: disable=unsubscriptable-object
weights = left_stochastic_matrix((n_samples, n_basis))
assignments = [0, 4, 6, 9]
for i in range(n_basis):
weights[assignments[i]] = np.zeros(n_basis)
weights[assignments[i], i] = 1
X = weights.dot(basis)
K = np.zeros((n_samples, n_samples))
for i in range(n_samples):
for j in range(n_samples):
K[i, j] = np.linalg.norm(X[i] - X[j])
n_components = basis.shape[0] # pylint: disable=unsubscriptable-object
result = furthest_sum(K, n_components, 1)
result = sorted(result)
assert len(result) == n_components
for i in range(n_components):
assert result[i] == assignments[i]
def test_returns_empty_vector_when_no_components_requested():
"""Test routine returns empty result when no points requested."""
n_samples = 6
n_components = 0
K = np.random.uniform(size=(n_samples, n_samples))
result = furthest_sum(K, n_components, 0)
assert len(result) == 0
def test_returns_correct_index_when_only_one_sample_present():
"""Test routine returns only index when sample size is one."""
n_samples = 1
n_components = 1
K = np.random.uniform(size=(n_samples, n_samples))
result = furthest_sum(K, n_components, 0)
assert len(result) == 1
assert result[0] == 0
def test_returns_non_excluded_index_when_only_possible():
"""Test routine returns only non-excluded index."""
n_samples = 102
n_components = 1
K = np.random.uniform(size=(n_samples, n_samples))
leave_in_index = 74
exclude = [i for i in range(n_samples) if i != leave_in_index]
result = furthest_sum(K, n_components, leave_in_index, exclude)
assert len(result) == 1
assert result[0] == leave_in_index
def test_selects_correct_elements_out_of_three_for_all_starting_points():
"""Test routine selects correct points in small test case."""
n_samples = 3
n_components = 2
max_extra_steps = 10
exclude = []
K = np.array([[0, 1, 2], [1, 0, 0.5], [2, 0.5, 0]])
expected = np.array([0, 2])
for i in range(n_samples):
for x in range(1, max_extra_steps + 1):
result = furthest_sum(K, n_components, i, exclude, x)
result = sorted(result)
assert len(result) == n_components
for j in range(n_components):
assert result[j] == expected[j]