Esempio n. 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
Esempio n. 2
0
def test_insertion():
    st = SimplexTree()
    assert st.__is_defined() == True
    assert st.__is_persistence_defined() == False

    # insert test
    assert st.insert([0, 1]) == True

    assert st.dimension() == 1

    assert st.insert([0, 1, 2], filtration=4.0) == True

    assert st.dimension() == 2

    assert st.num_simplices() == 7
    assert st.num_vertices() == 3

    # find test
    assert st.find([0, 1, 2]) == True
    assert st.find([0, 1]) == True
    assert st.find([0, 2]) == True
    assert st.find([0]) == True
    assert st.find([1]) == True
    assert st.find([2]) == True
    assert st.find([3]) == False
    assert st.find([0, 3]) == False
    assert st.find([1, 3]) == False
    assert st.find([2, 3]) == False

    # filtration test
    assert st.filtration([0, 1, 2]) == 4.0
    assert st.filtration([0, 2]) == 4.0
    assert st.filtration([1, 2]) == 4.0
    assert st.filtration([2]) == 4.0
    assert st.filtration([0, 1]) == 0.0
    assert st.filtration([0]) == 0.0
    assert st.filtration([1]) == 0.0

    # skeleton test
    assert list(st.get_skeleton(2)) == [
        ([0, 1, 2], 4.0),
        ([0, 1], 0.0),
        ([0, 2], 4.0),
        ([0], 0.0),
        ([1, 2], 4.0),
        ([1], 0.0),
        ([2], 4.0),
    ]
    assert list(st.get_skeleton(1)) == [
        ([0, 1], 0.0),
        ([0, 2], 4.0),
        ([0], 0.0),
        ([1, 2], 4.0),
        ([1], 0.0),
        ([2], 4.0),
    ]
    assert list(st.get_skeleton(0)) == [([0], 0.0), ([1], 0.0), ([2], 4.0)]

    # remove_maximal_simplex test
    assert st.get_cofaces([0, 1, 2], 1) == []
    st.remove_maximal_simplex([0, 1, 2])
    assert list(st.get_skeleton(2)) == [
        ([0, 1], 0.0),
        ([0, 2], 4.0),
        ([0], 0.0),
        ([1, 2], 4.0),
        ([1], 0.0),
        ([2], 4.0),
    ]
    assert st.find([0, 1, 2]) == False
    assert st.find([0, 1]) == True
    assert st.find([0, 2]) == True
    assert st.find([0]) == True
    assert st.find([1]) == True
    assert st.find([2]) == True

    assert st.persistence(persistence_dim_max=True) == [
        (1, (4.0, float("inf"))),
        (0, (0.0, float("inf"))),
    ]
    assert st.__is_persistence_defined() == True

    assert st.betti_numbers() == [1, 1]
    assert st.persistent_betti_numbers(-0.1, 10000.0) == [0, 0]
    assert st.persistent_betti_numbers(0.0, 10000.0) == [1, 0]
    assert st.persistent_betti_numbers(3.9, 10000.0) == [1, 0]
    assert st.persistent_betti_numbers(4.0, 10000.0) == [1, 1]
    assert st.persistent_betti_numbers(9999.0, 10000.0) == [1, 1]