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+from gudhi import RipsComplex
+from math import sqrt
+
+"""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_rips():
+ rips_complex = RipsComplex()
+ assert rips_complex.__is_defined() == True
+
+def test_rips_from_points():
+ point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
+ rips_complex = RipsComplex(points=point_list, max_edge_length=42)
+
+ simplex_tree = rips_complex.create_simplex_tree(max_dimension=1)
+
+ assert simplex_tree.__is_defined() == True
+ assert simplex_tree.__is_persistence_defined() == False
+
+ assert simplex_tree.num_simplices() == 10
+ assert simplex_tree.num_vertices() == 4
+
+ assert simplex_tree.get_filtration() == \
+ [([0], 0.0), ([1], 0.0), ([2], 0.0), ([3], 0.0),
+ ([0, 1], 1.0), ([0, 2], 1.0), ([1, 3], 1.0),
+ ([2, 3], 1.0), ([1, 2], 1.4142135623730951),
+ ([0, 3], 1.4142135623730951)]
+ assert simplex_tree.get_star([0]) == \
+ [([0], 0.0), ([0, 1], 1.0), ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951)]
+ assert simplex_tree.get_cofaces([0], 1) == \
+ [([0, 1], 1.0), ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951)]
+
+def test_filtered_rips_from_points():
+ point_list = [[0, 0], [1, 0], [0, 1], [1, 1]]
+ filtered_rips = RipsComplex(points=point_list, max_edge_length=1.0)
+
+ simplex_tree = filtered_rips.create_simplex_tree(max_dimension=1)
+
+ assert simplex_tree.__is_defined() == True
+ assert simplex_tree.__is_persistence_defined() == False
+
+ assert simplex_tree.num_simplices() == 8
+ assert simplex_tree.num_vertices() == 4
+
+def test_rips_from_distance_matrix():
+ distance_matrix = [[0],
+ [1, 0],
+ [1, sqrt(2), 0],
+ [sqrt(2), 1, 1, 0]]
+ rips_complex = RipsComplex(distance_matrix=distance_matrix, max_edge_length=42)
+
+ simplex_tree = rips_complex.create_simplex_tree(max_dimension=1)
+
+ assert simplex_tree.__is_defined() == True
+ assert simplex_tree.__is_persistence_defined() == False
+
+ assert simplex_tree.num_simplices() == 10
+ assert simplex_tree.num_vertices() == 4
+
+ assert simplex_tree.get_filtration() == \
+ [([0], 0.0), ([1], 0.0), ([2], 0.0), ([3], 0.0),
+ ([0, 1], 1.0), ([0, 2], 1.0), ([1, 3], 1.0),
+ ([2, 3], 1.0), ([1, 2], 1.4142135623730951),
+ ([0, 3], 1.4142135623730951)]
+ assert simplex_tree.get_star([0]) == \
+ [([0], 0.0), ([0, 1], 1.0), ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951)]
+ assert simplex_tree.get_cofaces([0], 1) == \
+ [([0, 1], 1.0), ([0, 2], 1.0),
+ ([0, 3], 1.4142135623730951)]
+
+def test_filtered_rips_from_distance_matrix():
+ distance_matrix = [[0],
+ [1, 0],
+ [1, sqrt(2), 0],
+ [sqrt(2), 1, 1, 0]]
+ filtered_rips = RipsComplex(distance_matrix=distance_matrix, max_edge_length=1.0)
+
+ simplex_tree = filtered_rips.create_simplex_tree(max_dimension=1)
+
+ assert simplex_tree.__is_defined() == True
+ assert simplex_tree.__is_persistence_defined() == False
+
+ assert simplex_tree.num_simplices() == 8
+ assert simplex_tree.num_vertices() == 4