Пример #1
0
def test_automatic_dimension():
    st = SimplexTree()
    assert st.__is_defined() == True
    assert st.__is_persistence_defined() == False

    # insert test
    assert st.insert([0, 1, 3], filtration=0.5) == True
    assert st.insert([0, 1, 2], filtration=1.0) == True

    assert st.num_vertices() == 4
    assert st.num_simplices() == 11

    assert st.dimension() == 2
    assert st.upper_bound_dimension() == 2

    assert st.prune_above_filtration(0.6) == True
    assert st.dimension() == 2
    assert st.upper_bound_dimension() == 2

    st.assign_filtration([0, 1, 3], 0.7)
    assert st.filtration([0, 1, 3]) == 0.7

    st.remove_maximal_simplex([0, 1, 3])
    assert st.upper_bound_dimension() == 2
    assert st.dimension() == 1
    assert st.upper_bound_dimension() == 1
Пример #2
0
def test_extend_filtration():

    # Inserted simplex:
    #      5   4
    #      o   o
    #     / \ /
    #    o   o
    #   /2\ /3
    #  o   o
    #  1   0

    st = SimplexTree()
    st.insert([0, 2])
    st.insert([1, 2])
    st.insert([0, 3])
    st.insert([2, 5])
    st.insert([3, 4])
    st.insert([3, 5])
    st.assign_filtration([0], 1.)
    st.assign_filtration([1], 2.)
    st.assign_filtration([2], 3.)
    st.assign_filtration([3], 4.)
    st.assign_filtration([4], 5.)
    st.assign_filtration([5], 6.)

    assert list(st.get_filtration()) == [([0, 2], 0.0), ([1, 2], 0.0),
                                         ([0, 3], 0.0), ([3, 4], 0.0),
                                         ([2, 5], 0.0), ([3, 5], 0.0),
                                         ([0], 1.0), ([1], 2.0), ([2], 3.0),
                                         ([3], 4.0), ([4], 5.0), ([5], 6.0)]

    st.extend_filtration()

    assert list(st.get_filtration()) == [([6], -3.0), ([0], -2.0), ([1], -1.8),
                                         ([2], -1.6), ([0, 2], -1.6),
                                         ([1, 2], -1.6), ([3], -1.4),
                                         ([0, 3], -1.4), ([4], -1.2),
                                         ([3, 4], -1.2), ([5], -1.0),
                                         ([2, 5], -1.0), ([3, 5], -1.0),
                                         ([5, 6], 1.0), ([4, 6], 1.2),
                                         ([3, 6], 1.4), ([3, 4, 6], 1.4),
                                         ([3, 5, 6], 1.4), ([2, 6], 1.6),
                                         ([2, 5, 6], 1.6), ([1, 6], 1.8),
                                         ([1, 2, 6], 1.8), ([0, 6], 2.0),
                                         ([0, 2, 6], 2.0), ([0, 3, 6], 2.0)]

    dgms = st.extended_persistence(min_persistence=-1.)

    assert dgms[0][0][1][0] == pytest.approx(2.)
    assert dgms[0][0][1][1] == pytest.approx(3.)
    assert dgms[1][0][1][0] == pytest.approx(5.)
    assert dgms[1][0][1][1] == pytest.approx(4.)
    assert dgms[2][0][1][0] == pytest.approx(1.)
    assert dgms[2][0][1][1] == pytest.approx(6.)
    assert dgms[3][0][1][0] == pytest.approx(6.)
    assert dgms[3][0][1][1] == pytest.approx(1.)
Пример #3
0
def test_make_filtration_non_decreasing():
    st = SimplexTree()
    assert st.__is_defined() == True
    assert st.__is_persistence_defined() == False

    # Inserted simplex:
    #    1
    #    o
    #   /X\
    #  o---o---o---o
    #  2   0   3\X/4
    #            o
    #            5
    assert st.insert([2, 1, 0], filtration=2.0) == True
    assert st.insert([3, 0], filtration=2.0) == True
    assert st.insert([3, 4, 5], filtration=2.0) == True

    assert st.make_filtration_non_decreasing() == False

    # Because of non decreasing property of simplex tree, { 0 } , { 1 } and
    # { 0, 1 } are going to be set from value 2.0 to 1.0
    st.insert([0, 1, 6, 7], filtration=1.0)

    assert st.make_filtration_non_decreasing() == False

    # Modify specific values to test make_filtration_non_decreasing
    st.assign_filtration([0, 1, 6, 7], 0.8)
    st.assign_filtration([0, 1, 6], 0.9)
    st.assign_filtration([0, 6], 0.6)
    st.assign_filtration([3, 4, 5], 1.2)
    st.assign_filtration([3, 4], 1.1)
    st.assign_filtration([4, 5], 1.99)

    assert st.make_filtration_non_decreasing() == True

    assert st.filtration([0, 1, 6, 7]) == 1.0
    assert st.filtration([0, 1, 6]) == 1.0
    assert st.filtration([0, 1]) == 1.0
    assert st.filtration([0]) == 1.0
    assert st.filtration([1]) == 1.0
    assert st.filtration([3, 4, 5]) == 2.0
    assert st.filtration([3, 4]) == 2.0
    assert st.filtration([4, 5]) == 2.0