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diff --git a/cython/test/test_cubical_complex.py b/cython/test/test_cubical_complex.py
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+++ b/cython/test/test_cubical_complex.py
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+from gudhi import CubicalComplex
+
+"""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_constructor():
+    # Try to create an empty CubicalComplex
+    cub = CubicalComplex()
+    assert cub.__is_defined() == False
+    assert cub.__is_persistence_defined() == False
+
+def test_non_existing_perseus_file_constructor():
+    # Try to open a non existing file
+    cub = CubicalComplex(perseus_file='pouetpouettralala.toubiloubabdou')
+    assert cub.__is_defined() == False
+    assert cub.__is_persistence_defined() == False
+
+def test_dimension_or_perseus_file_constructor():
+    # Create test file
+    test_file = open('CubicalOneSphere.txt', 'w')
+    test_file.write('2\n3\n3\n0\n0\n0\n0\n100\n0\n0\n0\n0\n')
+    test_file.close()
+    # CubicalComplex can be constructed from dimensions and
+    # top_dimensional_cells OR from a Perseus-style file name.
+    cub = CubicalComplex(dimensions=[3, 3],
+                         top_dimensional_cells = [1,2,3,4,5,6,7,8,9],
+                         perseus_file='CubicalOneSphere.txt')
+    assert cub.__is_defined() == False
+    assert cub.__is_persistence_defined() == False
+
+    cub = CubicalComplex(top_dimensional_cells = [1,2,3,4,5,6,7,8,9],
+                         perseus_file='CubicalOneSphere.txt')
+    assert cub.__is_defined() == False
+    assert cub.__is_persistence_defined() == False
+
+    cub = CubicalComplex(dimensions=[3, 3],
+                         perseus_file='CubicalOneSphere.txt')
+    assert cub.__is_defined() == False
+    assert cub.__is_persistence_defined() == False
+
+def test_dimension_constructor():
+    cub = CubicalComplex(dimensions=[3, 3],
+                         top_dimensional_cells = [1,2,3,4,5,6,7,8,9])
+    assert cub.__is_defined() == True
+    assert cub.__is_persistence_defined() == False
+    assert cub.persistence() == [(1, (0.0, 100.0)), (0, (0.0, 1.8446744073709552e+19))]
+    assert cub.__is_persistence_defined() == True
+    assert cub.betti_numbers() == [1, 0]
+    assert cub.persistent_betti_numbers(0, 1000) == [0, 0]
+
+def test_dimension_constructor():
+    # Create test file
+    test_file = open('CubicalOneSphere.txt', 'w')
+    test_file.write('2\n3\n3\n0\n0\n0\n0\n100\n0\n0\n0\n0\n')
+    test_file.close()
+    cub = CubicalComplex(perseus_file='CubicalOneSphere.txt')
+    assert cub.__is_defined() == True
+    assert cub.__is_persistence_defined() == False
+    assert cub.persistence() == [(1, (0.0, 100.0)), (0, (0.0, 1.8446744073709552e+19))]
+    assert cub.__is_persistence_defined() == True
+    assert cub.betti_numbers() == [1, 0, 0]
+    assert cub.persistent_betti_numbers(0, 1000) == [1, 0, 0]