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import gudhi
"""This file is part of the Gudhi Library. The Gudhi library
(Geometric Understanding in Higher Dimensions) is a generic C++
library for computational topology.
Author(s): Vincent Rouvreau
Copyright (C) 2016 INRIA
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
"""
__author__ = "Vincent Rouvreau"
__copyright__ = "Copyright (C) 2016 INRIA"
__license__ = "GPL v3"
def test_empty_euclidean_witness_complex():
euclidean_witness = gudhi.EuclideanWitnessComplex()
assert euclidean_witness.__is_defined() == False
def test_witness_complex():
point_cloud = [[1.0, 1.0], [7.0, 0.0], [4.0, 6.0], [9.0, 6.0],
[0.0, 14.0], [2.0, 19.0], [9.0, 17.0]]
landmarks = [[1.0, 1.0], [7.0, 0.0], [4.0, 6.0]]
euclidean_witness_complex = gudhi.EuclideanWitnessComplex(landmarks=landmarks, witnesses = point_cloud)
simplex_tree = euclidean_witness_complex.create_simplex_tree(max_alpha_square=4.1)
assert landmarks[0] == euclidean_witness_complex.get_point(0)
assert landmarks[1] == euclidean_witness_complex.get_point(1)
assert landmarks[2] == euclidean_witness_complex.get_point(2)
assert simplex_tree.get_filtration() == [([0], 0.0), ([1], 0.0),
([0, 1], 0.0), ([2], 0.0), ([0, 2], 0.0), ([1, 2], 0.0),
([0, 1, 2], 0.0)]
def test_empty_euclidean_strong_witness_complex():
euclidean_strong_witness = gudhi.EuclideanStrongWitnessComplex()
assert euclidean_strong_witness.__is_defined() == False
def test_strong_witness_complex():
point_cloud = [[1.0, 1.0], [7.0, 0.0], [4.0, 6.0], [9.0, 6.0],
[0.0, 14.0], [2.0, 19.0], [9.0, 17.0]]
landmarks = [[1.0, 1.0], [7.0, 0.0], [4.0, 6.0]]
euclidean_strong_witness_complex = gudhi.EuclideanStrongWitnessComplex(landmarks=landmarks, witnesses = point_cloud)
simplex_tree = euclidean_strong_witness_complex.create_simplex_tree(max_alpha_square=14.9)
assert landmarks[0] == euclidean_strong_witness_complex.get_point(0)
assert landmarks[1] == euclidean_strong_witness_complex.get_point(1)
assert landmarks[2] == euclidean_strong_witness_complex.get_point(2)
assert simplex_tree.get_filtration() == [([0], 0.0), ([1], 0.0), ([2], 0.0)]
simplex_tree = euclidean_strong_witness_complex.create_simplex_tree(max_alpha_square=100.0)
assert simplex_tree.get_filtration() == [([0], 0.0), ([1], 0.0),
([2], 0.0), ([1, 2], 15.0), ([0, 2], 34.0), ([0, 1], 37.0),
([0, 1, 2], 37.0)]
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