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diff --git a/cython/test/test_cover_complex.py b/cython/test/test_cover_complex.py
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+++ b/cython/test/test_cover_complex.py
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+from gudhi import CoverComplex
+
+"""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) 2018 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) 2018 Inria"
+__license__ = "GPL v3"
+
+
+def test_empty_constructor():
+    # Try to create an empty CoverComplex
+    cover = CoverComplex()
+    assert cover.__is_defined() == True
+
+def test_non_existing_file_read():
+    # Try to open a non existing file
+    cover = CoverComplex()
+    assert (cover.read_point_cloud('pouetpouettralala.toubiloubabdou') == False)
+
+def test_files_creation():
+    # Create test file
+    cloud_file = open('cloud', 'w')
+    cloud_file.write('nOFF\n3\n3 0 0\n0 0 0\n2 1 0\n4 0 0')
+    cloud_file.close()
+    cover_file = open('cover', 'w')
+    cover_file.write('1\n2\n3')
+    cover_file.close()
+    graph_file = open('graph', 'w')
+    graph_file.write('0 1\n0 2\n1 2')
+    graph_file.close()
+
+def test_nerve():
+    nerve = CoverComplex()
+    nerve.set_type('Nerve')
+    assert (nerve.read_point_cloud('cloud') == True)
+    nerve.set_color_from_coordinate()
+    nerve.set_graph_from_file('graph')
+    nerve.set_cover_from_file('cover')
+    nerve.find_simplices()
+    stree = nerve.create_simplex_tree()
+
+    assert (stree.num_vertices() == 3)
+    assert ((stree.num_simplices() - stree.num_vertices()) == 0)
+    assert (stree.dimension() == 0)
+
+def test_graph_induced_complex():
+    gic = CoverComplex()
+    gic.set_type('GIC')
+    assert (gic.read_point_cloud('cloud') == True)
+    gic.set_color_from_coordinate()
+    gic.set_graph_from_file('graph')
+    gic.set_cover_from_file('cover')
+    gic.find_simplices()
+    stree = gic.create_simplex_tree()
+
+    assert (stree.num_vertices() == 3)
+    assert ((stree.num_simplices() - stree.num_vertices()) == 4)
+    assert (stree.dimension() == 2)
+
+def test_voronoi_graph_induced_complex():
+    gic = CoverComplex()
+    gic.set_type('GIC')
+    assert (gic.read_point_cloud('cloud') == True)
+    gic.set_color_from_coordinate()
+    gic.set_graph_from_file('graph')
+    gic.set_cover_from_Voronoi(2)
+    gic.find_simplices()
+    stree = gic.create_simplex_tree()
+
+    assert (stree.num_vertices() == 2)
+    assert ((stree.num_simplices() - stree.num_vertices()) == 1)
+    assert (stree.dimension() == 1)